Answer:
She would have to do 219 haircuts in a month for the costs to be the same, which would be $428.
Step-by-step explanation:
To find this we take the costs of the first place.
$438
Next we can look at the costs of the second place using x as the number of haircuts she'd do.
2x
Now we can set the two equal to each other to find the number of cuts.
438 = 2x
219 = x
find the maximum value of c=4x+2y
2x+2y less than or equal to 10
3x+y less than or equal to 9
Answer: 14
Step-by-step explanation:
Step 1: Graph both equations to find the vertices (see attached):
The graph shows vertices at: (0, 0), (3, 0), (0, 5) and (2, 3)Step 2: Input the coordinates of the vertices into the given function (c = 4x + 2y):
(0, 0): 4(0) + 2(0) = 0(3, 0): 4(3) + 2(0) = 12(0, 5): 4(0) + 2(5) = 10(2, 3): 4(2) + 2(3) = 14Step 3: Evaluate the value from Step 2 to find the maximum (largest).
the largest value between {0, 12, 10, 14} is 14graphing polynomial functions?
NOTES:
Degree: the largest exponent in the polynomial
End Behavior:
Coefficient is POSITIVE, then right side goes to POSITIVE infinityCoefficient is NEGATIVE, then right side goes to NEGATIVE infinityDegree is EVEN, then left side is SAME direction as right sideDegree is ODD, then left side is OPPOSITE direction as right sideMultiplicity (M): the exponent of the zero. e.g. (x - 3)² has a multiplicity of 2
Relative max/min: the y-value of the vertices.
Find the axis of symmetry (the midpoint of two neighboring zeros)Plug the x-value from 1 (above) into the given equation to find the y-value. (which is the max/min)Repeat 1 and 2 (above) for each pair of neighboring zeros.Rate of Change: slope between the two given points.
********************************************************************************************
1. f(x) = (x-1)²(x + 6)
a) Degree = 3
b) end behavior:
Coefficient is positive so right side goes to positive infinityDegree is odd so left side goes to negative infinityc) (x - 1)²(x + 6) = 0
x - 1 = 0 x + 6 = 0
x = 1 (M=2) x = -6 (M=1)
d) The midpoint between 1 and -6 is -3.5, so axis of symmetry is at x = -3.5
y = (-3.5 - 1)²(-3.5 + 6)
= (-4.5)²(2.5)
= 50.625
50.625 is the relative max
e) see attachment #1
f) The interval at which the graph increases is: (-∞, -3.5)U(1, ∞)
g) The interval at which the graph decreases is: (-3.5, 1)
h) f(-1) = (-1 - 1)²(-1 + 6)
= (-2)²(5)
= 20
f(0) = (0 - 1)²(0 + 6)
= (-1)²(6)
= 6
Find the slope between (-1, 20) and (0, 6)
m = [tex]\frac{20-6}{-1-0}[/tex]
= [tex]\frac{14}{-1}[/tex]
= -14
********************************************************************************************
2. y = x³+3x²-10x
= x(x² + 3x - 10)
= x(x + 5)(x - 2)
a) Degree = 3
b) end behavior:
Coefficient is positive so right side goes to positive infinity
Degree is odd so left side goes to negative infinity
c) x(x + 5)(x - 2) = 0
x = 0 x + 5 = 0 x - 2 = 0
x = 0 (M=1) x = -5 (M=1) x = 2 (M=1)
d) The midpoint between -5 and 0 is -2.5, so axis of symmetry is at x = -2.5
y = -2.5(-2.5 + 5)(-2.5 - 2)
= -2.5(2.5)(-4.5)
= 28.125
28.125 is the relative max
The midpoint between 0 and 2 is 1, so axis of symmetry is at x = 1
y = 1(1 + 5)(1 - 2)
= 1(6)(-1)
= -6
-6 is the relative min
e) see attachment #2
f) The interval at which the graph increases is: (-∞, -2.5)U(1, ∞)
g) The interval at which the graph decreases is: (-2.5, 1)
h) f(-1) = -1(-1 + 5)(-1 - 2)
********************************************************************************************
3. y = -x(x + 2)(x - 7)(x - 3)
a) Degree = 4
b) end behavior:
Coefficient is negative so right side goes to negative infinity
Degree is even so left side goes to negative infinity
c) -x(x + 2)(x - 7)(x - 3) = 0
-x = 0 x + 2 = 0 x - 7 = 0 x - 3 = 0
x = 0 (M=1) x = -2 (M=1) x = 7 (M=1) x = 3 (M=1)
d) The midpoint between -2 and 0 is -1, so axis of symmetry is at x = -1
y = -(-1)(-1 + 2)(-1 - 7)(-1 - 3)
= 1(1)(-8)(-4)
= 32
32 is a relative max
The midpoint between 0 and 3 is 1.5, so axis of symmetry is at x = 1.5
y = -(1.5)(1.5 + 2)(1.5 - 7)(1.5 - 3)
= -1.5(3.5)(-5.5)(-1.5)
= -43.3125
-43.3125 is the relative min
The midpoint between 3 and 7 is 5, so axis of symmetry is at x = 5
y = -(5)(5 + 2)(5 - 7)(5 - 3)
= -5(7)(-2)(2)
= 140
140 is the relative max
e) see attachment #3
f) The interval at which the graph increases is: (-∞, -1)U(1.5, 5)
g) The interval at which the graph decreases is: (-1, 1.5)U(5, ∞)
h) f(-1) = -(-1)(-1 + 2)(-1 - 7)(-1 - 3)
= 1(1)(-8)(-4)
= 32
f(0) = -(0)(0 + 2)(0 - 7)(0 - 3)
= 0
Find the slope between (-1, 32) and (0, 0)
m = [tex]\frac{32-0}{-1-0}[/tex]
= [tex]\frac{32}{-1}[/tex]
= -32
write the expression in factored form 49m^2 - n^2
Find the unit rate. 2134 meters in 212 hours
Final answer:
The unit rate of 2134 meters in 212 hours is approximately 10.063 meters per hour. This calculation involves dividing the total distance by the total amount of time.
Explanation:
To find the unit rate of 2134 meters in 212 hours, we need to calculate how many meters are covered in one hour. The unit rate is computed by dividing the total distance by the total time.
The calculation is as follows:
Unit rate = Total distance / Total time
Unit rate = 2134 meters / 212 hours
Calculating this gives us a unit rate of approximately 10.063 meters per hour. It's important to make sure that the result is reasonable. If you travel a certain distance in a given number of hours, dividing the distance by the time should give you how many meters you travel in one hour, which in this case, it does.
in a group of 20 students 25% wear glasses how many do not wear glasses?
Answer:
15
Step-by-step explanation:
25 percent of 20 is 5, and 20-5 equals 15.
In a group of 20 students, 15 do not wear glasses.
A ball with a radius of 6 in is spinning on the table. If the ball spins around 340 revolutions per minute, about how far in inches would the golf ball travel in 20 seconds
Answer:
the golf ball travels 4,295.52 inches in 20 seconds
Step-by-step explanation:
the ball spins around 340 revolutions per minute
340 revolutions per 60 seconds
60 seconds = 340 revolutions
1 seconds = [tex]\frac{340}{60} = 5.667[/tex]
so its around 5.7 revolutions in 1 second
1 second = 5.7 revolutions
20 seconds = 5.7 * 20 = 114 revolutions
In 20 second ball spins 114 revolutions
To find distance traveled in 1 revolution we find the circumference of circle
circumference of circle = 2* 3.14 * r
r is the radius = 6 in
circumference of circle = 2* 3.14 * 6= 37.68 inches
In 1 revolution ball travels 37.68 inches
In 114 revolution ball travels 37.68 * 114 = 4295.52 inches
the golf ball travels 4,295.52 inches in 20 seconds
Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks.
(a) Write an equation to show how much money she has left. Remember to define your unknown.
(b) Solve the equation from part (a). Show your work.
solve this equation 11/20 +x= 9/10
11/20 + x = 9/10
x = 9/10 - 11/20
x = 18/20 - 11/20
x = 7/20
Answer:
x = 7/20
Step-by-step explanation:
11/20 +x= 9/10
Subtract 11/20 from each side
11/20-11/20 +x= 9/10-11/20
x = 9/10-11/20
We need a common denominator of 20
x = 9/10 *2/2 - 11/20
x =18/20 -11/20
x = 7/20
Marcus finds that (3x2-2y2+5x)+(4x2+12y2-7x)=7x2-10y2-2x. What error did Marcus make?
He combined the terms 5x and –7x incorrectly.
He combined the terms 3x2 and 4x2 incorrectly.
He combined the terms –2y2 and 12y2 incorrectly.
He subtracted the polynomials instead of adding.
Given : (3x² - 2y² + 5x) + (4x² + 12y² - 7x)
Rearranging like terms, we get :
⇒ (3x² + 4x²) + (12y² - 2y²) - 7x + 5x
⇒ 7x² + 10y² - 2x
But, Marcus got the Answer as : 7x² - 10y² - 2x
Marcus combined the terms -2y² and 12y² Incorrectly
Following are the solution to the given expression:
Given:
[tex]\bold{(3x^2-2y^2+5x)+(4x^2+12y^2-7x)=7x^2-10y^2-2x}[/tex]
To find:
Solve equation=?
Solution:
[tex]\to \bold{(3x^2-2y^2+5x)+(4x^2+12y^2-7x)=7x^2-10y^2-2x}[/tex]
Solving the L.H.S part:
[tex]\to \bold{(3x^2-2y^2+5x)+(4x^2+12y^2-7x)}\\\\\to \bold{(3x^2-2y^2+5x+4x^2+12y^2-7x)}\\\\\to \bold{(7x^2+10y^2-2x)}\\\\[/tex]
Solving the R.H.S part:
[tex]\bold{=7x^2-10y^2-2x}[/tex]
Since in this question the [tex]L.H.S \neq R.H.S[/tex] , and when we solve the equation so, except the third choice all were correct.
Therefore, the final answer is " He combined the terms [tex]\bold{-2y^2\ and\ 12y^2}[/tex]incorrectly."
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What is the area of a circle whose radius is 5 meters
Answer:78.5
Step-by-step explanation
3.14×r^2
Area of a circle whose radius is 5 meters is 78.55square meter
What is Circle?A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry
The formula for area of circle is Area equal to pi r square
A=πr²
The radius is given which is 5 meters
r=5
Substitute the r value in Area of circle formula
A=3.142×5²
We know that five square is twenty five.
=3.142×25
=78.55
Hence area of a circle whose radius is 5 meters is 78.55square meter.
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the relationship between the relative size of an earthquake, S, and the measure of the earthquake on the Richter scale, R, is given by the equation log S = R. If an earthquake measured 3.2 on the Richter scale, what was it relative size? Express your answer to the nearest hundredth
Answer:
Relative Size, S, is 1584.89
Step-by-step explanation:
The equation is [tex]R=log_{10}(S)[/tex]
Where,
R is the measurement in Richter ScaleS is the relative size of the earthquareIt is given that in Richter Scale, an earthquake measured 3.2, so [tex]R=3.2[/tex].
They want to know relative size, S, so we put given information in equation and solve for S:
[tex]R=log_{10}(S)\\3.2=log_{10}(S)[/tex]
Converting to exponential form, we have:
[tex]3.2=log_{10}(S)\\S=10^{3.2}\\S=1584.8932[/tex]
Rounding to nearest hundredth, we have:
[tex]S=1584.89[/tex]
Final answer:
To find the relative size of an earthquake measured at 3.2 on the Richter scale, calculate 10 to the power of 3.2. This results in a relative size of approximately 1584.89 when expressed to the nearest hundredth.
Explanation:
The relationship between the relative size of an earthquake, S, and the measure of the earthquake on the Richter scale, R, is given by the equation log S = R. If an earthquake measured 3.2 on the Richter scale, we can calculate its relative size by finding the antilogarithm (typically the base 10) of the Richter scale magnitude. This means finding 10 to the power of the magnitude.
To find the relative size for an earthquake that measured 3.2 on the Richter scale:
Use the equation log S = R where R = 3.2.Find the antilog of R, which is 10 to the power of 3.2.Perform the calculation to obtain S, which will be S = 10^3.2.Using a calculator, we can compute that S ≈ 1584.89, which to the nearest hundredth is 1584.89.The relative size or seismic-wave amplitude of the earthquake is therefore approximately 1584.89 when expressed to the nearest hundredth.
There are 16 dolphins in a pod. Each pod has the same number of males and females. The female dolphins are swimming in pairs. How many pairs of female dolphins are there?
Final answer:
To determine the number of pairs of female dolphins, the total number of dolphins is divided equally between males and females, resulting in 8 female dolphins. Then, dividing by 2 as they swim in pairs, we find there are 4 pairs of female dolphins.
Explanation:
The question involves dividing the total number of dolphins in the pod by two to find out how many male and female dolphins there are since the pod has an equal number of each gender. Since the females are swimming in pairs, we then divide the number of female dolphins by two to find out how many pairs there are.
There are 16 dolphins in total. Half of them are females, so there are 8 female dolphins. The females swim in pairs, so to find the number of pairs we divide the number of female dolphins by two:
8 females ÷ 2 = 4 pairs of female dolphins.
At an apple orchard Margaret picked 19 1/2 Pounds of apples the cashier put the apples in the three bags with the same weight How many pounds of apples are in each bag
Use photo math
Hope this helps
Answer:
the answer would be 6.5 pounds
Step-by-step explanation: 19 1/2 divided by three
WILL GIVE BRAINLY!!!
.
.
Convert a repeating decimal two an improper fraction or mixed number. Upload all of your work as part of your final answer.
___
3.152
Answer:
3149/999 = 3 152/999
Step-by-step explanation:
I'll assume the bar is over 152 and there is a typo.
Use a step-by-step calculator (I recommend Symbolab) OR:
Let x equal 3.152...
1000x = 3152.152...
1000x-x = 3152.152... - 3.152...
999x =
3152.152...
- 3.152...
3149
Cancel out the .152...
999x = 3149
Divide by 999 on each side
x=3149/999 = 3 152/999
Answer:
The given number is 3.152.
Notice that this is a rational number without a repetition pattern, that means we just need to divide all digist without the decimal point by 1000, because the number of zeros always depends on the number of decimals, which are three in this case.
[tex]\frac{3152}{1000}[/tex]
Then, we simplfy
[tex]\frac{3152}{1000}=\frac{1576}{500}=\frac{788}{250}=\frac{394}{125}[/tex]
So, the improper fraction equal to 3.152 is 394/125.
The mixed number is [tex]\frac{394}{125}=3\frac{19}{125}[/tex]
Write the ratio of the area of a circle with radius r to the circumference of the same circle
Answer:
[tex]\frac{r}{2\pi r} =\frac{1}{2\pi }[/tex]
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using [tex]\pi d[/tex] or [tex]2\pi r[/tex].
We write r: [tex]\pi d[/tex] or r:[tex]2\pi r[/tex].
We can also write in fraction form:
[tex]\frac{r}{\pi d}[/tex] or [tex]\frac{r}{2\pi r} =\frac{1}{2\pi }[/tex]
You can use the fact that ratio of one quantity to other is fraction involving one quantity over another quantity.
The specified ratio is given as
[tex]r:2\\\\or\\\\\dfrac{r}{2}[/tex]
What is the ratio of a to b ?The ratio of a to b is [tex]\dfrac{a}{b}[/tex]
It is sometimes written as [tex]a:b[/tex]
We can remove common factors of a and b to simplify them.
Thus, if
[tex]a = c \times x\\b = d \times x\\[/tex]
then
[tex]\dfrac{a}{b} = \dfrac{c \times x}{d \times x} = \dfrac{c}{d}[/tex]
What is the area of a circle and circumference of a circle with radius r units?The area of a circle with radius r units is
[tex]Area = \pi r^2[/tex]
The circumference of a circle with radius r units is
[tex]Circumference = 2 \pi r[/tex]
( Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex] )
Their ratio is
[tex]\dfrac{Area_r}{Circumference_r} = \dfrac{\pi r^2}{2\pi r} = \dfrac{r}{2}[/tex]
Thus,
The specified ratio is given as
[tex]r:2\\\\or\\\\\dfrac{r}{2}[/tex]
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After being rearranged and simplified, which two of the following equations could be solved using the quadratic formula? A) 5x^3+2x-4=2x^2 B) x^2-6x-7=2x^2 C) 2x^2-3x+10=2x^2+21 D) 5x^2-3x+10=2x^2
Answer:
B & D
Step-by-step explanation:
The quadratic formula can be used to solve for x for any quadratic. Recall a quadratic is any function whose highest exponent known as degree is 2. Looking at the answer selections, A has one term with exponent 3. This isn't possible in the formula. Looking at answer C, the term with exponent 2 has the same coefficient on each side of the equal sign. When it is rearranged these will cancel out no exponent of 2 will be in the equation anymore. Only B & D work after being rearranged and simplified
The two equations after simplifying will give quadratic equations are:-
x ²-6x-7=2x² and 5x²-3x+10=2x².
What is a quadratic equation?
The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Solving for the quadratic equation:-
Option B:-
x ² - 6x - 7 = 2x²
- 2x² + x ² - 6x - 7 = 0
x ² + 6x + 7 = 0
Option D:-
5x² - 3x + 10 = 2x².
5x² - 2x². - 3x + 10 = 0
3x² - 3x + 10 = 0
Therefore two equations after simplifying will give quadratic equations are- x ²-6x-7=2x² and 5x²-3x+10=2x².
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What check digit is required to make the following UPC valid? 78007305233D
Answer:
4
Step-by-step explanation:
UPC (Universal Product Code) is a numeric symbol used in retail products. UPC has two variants, an 11 digit UPC Type A bar code and and 6 digit UPC Type E bar code.
The given UPC code 78007305233 is an 11 digit UPC Type A bar code.
1) From the right to the left, starting with odd position, we need to assign the odd/even position to each digit.
0 E 0 E 0 E 0 E 0 E 0 [0 stands for Odd, E stands for Even]
7 8 0 0 7 3 0 5 2 3 3
2) Summing up all digits in the odd positions and multiplying the result by 3
(7+0+7+0+2+3)*3 = 19 * 3 = 57
3) Summing up all digits in the even positions
8+0+3+5+3 = 19
4) Summing up the results of step three and four
57 + 19 = 76
5) Now, divide the result of the fourth step by 10. The check digit would be the number which adds the remainder to 10. In our case, upon dividing, 76 by 10 we get the remainder 6. The check digit is the result of 10-6 = 4.
in one hour a seamstress can sew 52 yards of material. How many yards can she sew in 45 minutes?
Answer:
39 yards
hope it helps
Step-by-step explanation:
52 ÷ 4 = 13 per quarter of an hour
we are gonna divide by four because there are 4 quarters in a hour and in 3 quarters there is 45 minutes
13 x 3 = 39
The seamstress can sew 39 yards of material in 45 minutes.
Explanation:To find out how many yards the seamstress can sew in 45 minutes, we need to convert 45 minutes into hours. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours.
Next, we can use the given information that the seamstress can sew 52 yards of material in one hour. Multiply the yards per hour by the fraction of an hour to find out how many yards can be sewn in 45 minutes:
Yards in 45 minutes = 52 yards/hour × 0.75 hours = 39 yards.
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In March, Delphine's house had 40\%40% more snowfall than in February. Delphine's house had ff centimeters of snowfall in February. Which of the following expressions could represent how much snowfall Delphine had at her house in March?
Answer: 1.4 f or [tex]1f +\frac{4f}{10}[/tex]
Step-by-step explanation:
Since, According to the question,
The snowfall in February in Delphine's house had = f cm
Again according to the question,
In March, Delphine's house had 40% more snowfall than in February.
Therefore, The snowfall in March in Delphine's house had = 140% of The snowfall in February in Delphine's house had
= 140 % of f
= [tex]\frac{f\times 140}{100}[/tex]
= 1.4 f cm
= 1 f + 0.4 f
= [tex]1 f + \frac{4f}{10}[/tex] cm
Answer:
It should be c & e
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equals 1 over 3 x plus 2 and g of x equals 1 over 3 x plus 5
Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = [tex]\frac{1}{3}[/tex](x+2)
g(x) = [tex]\frac{1}{3}[/tex](x+5)
Putting the value of f(x) and g(x) in equation (1).
→ [tex]\frac{1}{3}[/tex](x+5) = [tex]\frac{1}{3}[/tex](x+2) + k
→ [tex]\frac{1}{3}[x+5-x-2][/tex]= k
→ k = [tex]\frac{1}{3} \times 3=1[/tex]
So , the value of k is 1.
Answer:
K=5
Step-by-step explanation:
there you go
If ABCD is a parallelogram which of the following statements is not true
Answer: A+C = 180 (first answer choice)
This statement is only true if and only if we are dealing with a rectangle (where all four angles are 90 degrees). Otherwise, the statement is false.
---------------
side notes:
The second statement that AN = NC and DN = NB is true because a parallelogram has its diagonals bisect each other. In other words, the diagonals cut in each other in half.
The third statement that AD = BC and DC = AB is true because opposite sides of a parallelogram are parallel and congruent.
The fourth statement is true because opposite angles of a parallelogram are congruent. If A = C = 90, then A+C = 90+90 = 180 backing up the claim I made earlier, but it's possible that A and C are non-right angles making this parallelogram non-rectangular.
Answer:
m∠A + m∠C = 180
Step-by-step explanation:
to make 1 1/2 dozen muffins, a recipe uses 3 1/2 cups of flour.
How many cups of flour are needed for every dozen muffins made?
Final answer:
To find how many cups of flour are needed for every dozen muffins made, set up a ratio using the given information, and solve for x.
Explanation:
To find how many cups of flour are needed for every dozen muffins made, we can set up a ratio using the information given in the question. We know that to make 1 1/2 dozen muffins, 3 1/2 cups of flour are needed. So we can set up the ratio:
1 1/2 dozen muffins : 3 1/2 cups of flour = 1 dozen muffins : x cups of flour
To solve for x, we can cross multiply, and divide:
(1 1/2) * x = (1) * (3 1/2)
x = (1 * 3 1/2) / (1 1/2) = 7/2 cups of flour
Therefore, for every dozen muffins made, 7/2 cups of flour are needed.
!!Answer these six questions for 16 points!!
--- Adding & Subtracting Fractions ---
George eats 2/3 cup of Frosted Flakes. He is still hungry so he eats 1/2 cup of Cheerios. How much cereal does George eat in all?
Two kinds of fish are found in a 5-foot fish tank. A blue fish is 3/11 of a foot long and an orange fish that is 2/5 of a foot long. How much longer is the orange fish?
--- Adding & Subtracting Fractions ---
|
--- Multiplying Fractions ---
Sam is making homemade cookies and the recipe calls for 13/8 cups of milk. How much milk does Sam need if she doubles her recipe?
Michelle is buying a poster for her math project. The size of the poster is 2 1/3 feet by 4 4/5 feet. What is the area of the project?
--- Multiplying Fractions --
|
--- Dividing Fractions ---
Cara brought some candy bars from home. She wants to split 2 1/2 candy bars from home. She wants to split 2 1/2 candy bars among her four friends. How much will each person get?
Jack wants to share his candy with his friends. Right now, he has 4 pieces of chocolate. How many friends can he give 1/2 a candy bar too?
--- Dividing Fractions ---
[Each section tell you what operation you have to use in order to solve the problem correctly]
[
Answer:
1) 7/6 or 1 1/6 2)7/55 of a foot longer 3) 13/4 or 3 1/4 cups of milk
4) 56/5 or 11 1/5 feet
Step-by-step explanation:
Let's go over this.
1) If the question asks how much cereal George eats in all, then you must add.
To do this, we must find 2/3 + 1/2. Also, we need to find the common denominator, so that is 6. 2/3 x 2= 4/6. 1/2 x 3= 3/6. Now, it is easier to add. 4/6 + 3/6= 7/6, or 1 1/6.
2) We must find the common denominator again. This is 55, since this is the LCM of 11 and 5. 3/11 x 5= 15/55. 2/5 x 11= 22/55. Now, since the orange fish is longer, 22/55 - 15/55 = 7/55 of a foot longer.
3) This is simple. 13/8 "doubled" is the same as 13/8 x 2, or 13/8 x 2/1. 13 x 2 = 26, and 8 x 1 =8. Our fraction will be 26/8, and we can simplify this to 13/4, or 3 1/4 cups of milk.
4) We can convert these two fractions to improper fractions. 2 1/3 = 7/3, and 4 4/5= 24/5. 7/3 x 24/5= 7 x 24/3 x 5 which is 168/15. The fully simplified fraction is 56/5, or 11 1/5 feet.
5) We must divide 2 1/2 and 4. 2 1/2 = 5/2, and 5/2 divided by 4 is the same thing as 5/2 x 1/4, which is 5/8 of a candy bar.
6) For this problem, we need to find the number of friends. We are supposed to divide 4 and 1/2. 4 divided by 1/2 is equal to 4/1 x 2/1, which is 8. Jack can split his candy bar pieces to 8 friends.
I hope this helped!
What is the probability of choosing a vegetable
Wrongs guys ok don’t pick it
Answer: It's A. 2/5
Step-by-step explanation:
1. It's asking for the probability of picking a vegetable
We can see in the model that 2 carrots and 2 broccoli are vegetables so 4
2. Add up the values
2+2+2+1+2+1= 10
3. 4/10---> 2/5
Solve the equation for the letter L: V = LWH
Answer:
L = V / WH
Step-by-step explanation:
Solve for L: V = LWH
To solve, all you have to do is get L on its own on one side.
Because the only operation used in this equation is multiplication, only one operation is needed to solve it: division. Just divide both sides by WH to isolate L.
V / WH = LWH / WH
V / WH = L
[tex]LWH=V\qquad\text{divide both sides by}\ WH\neq0\\\\\boxed{L=\dfrac{V}{WH}}[/tex]
Write the following equation in the general form Ax + By + C = 0. 2x + y = 6
height of an object t seconds after it is launched is modeled by the function h(t) = -5t^2 + 30t + 200. the object will hit the ground in how many seconds.
Answer:
10 seconds
Step-by-step explanation:
AS it is given in the question that
h(t) = -5t² + 30t + 200 ...........................(i)
We have to find the time when it will touch the ground
so it will be touching the ground when its height from ground will be zero
i.e. h(t)=0
so equation (i) becomes
0 = -5t² + 30t + 200
Now we will solve this to get the value of t
Dividing whole equation with (-5) it will give us
t² - 6t - 40 = 0
Using the mid term breaking rule which will break the mid term and we will get the factors from the mid term
t² - 10t + 4t - 40 = 0
Now we will do the factorization of it
t(t-10)+4(t-10)=0
(t-10)(t+4)=0
so either
t-10 = 0 or t+4=0
t=10 or t= - 4
as t is time so it can not be negative
so
t=10 seconds will be the time in which it will touch the earth
Answer: 10 seconds
Step-by-step explanation:
When the object hits the ground, the height (y-value) is 0.
h(t) = -5t² + 30t + 200
0 = -5t² + 30t + 200 set height equal to zero
0 = -5(t² - 6t - 40) factored out -5
0 = -5(t - 10)(t + 4) factored the quadratic
0 = t - 10 0 = t + 4 applied the Zero Product Property
t = 10 t = -4 solved for t
↓
t = -4 is not valid (since time cannot be negative)
So, t = 10
is 9.36 less. than. 9.359
Answer:
Its more because 9.36 has a bigger beginning then 9.359.
Ur welcome plzzz mark this as brainlest and thank me
Answer:
No
Step-by-step explanation:
9.36= 9.360
9.360> 9.359
The hundredeth's place of 9.360 is greater than the hundredth's place of 9.359.
If 3 pairs of pants cost $63 what is the cost of 16 pairs of pants?
Answer:
336 dollars
Step-by-step explanation:
Set up a proportion. Because you know that three pairs of pants costs sixteen dollars, you can put three over sixteen because they are both the same part of the equation, the same part being that they are pairs of pants. Then you set up another proportion, sixty three over x, because you do not know how much sixteen pairs of pants costs. It should look like this. Then you cross multiply and divide.
3 63
--- = ----
16 x
16 times 63 = 1008
1008/3 = 336
Answer: $336
please explain how to do this, I'm using all my points
A. 40 L
B. 80 L
C. 4 L
D. 8L
Answer: choice A. 40 liters
====================================
Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters