Answer:
[tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]
Step-by-step explanation:
To factor the expression [tex]\frac{-4}{40}c+\frac{12}{30}[/tex] we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into the values. We start to find it by factoring each term's coefficient:
[tex]\frac{2*2}{2*2*2*5}[/tex]
[tex]\frac{2*2*3}{2*3*5}[/tex]
We notice both have 2*2 in the numerator and 2*5 in the denominator. This is our GCF.
[tex]\frac{2*2}{2*5}=\frac{4}{10}[/tex]
We now write the expression 4/10(____+_____). We find the inside of the parenthesis by dividing the coefficients by the GCF. This is also the remaining factors which are not part of the GCF.
[tex]\frac{1}{2*2}=\frac{1}{4}[/tex]
[tex]\frac{3}{3}=1[/tex]
So the answer is [tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]
The sum of the least and greatest of three consecutive integers is 50. What is the middle integer?
x + (x + 2) = 50
Combine like terms.
2x + 2 = 50
Subtract 2 from both sides.
2x = 48
Divide both sides by 2.
x = 24
Now that we have the value of x, we can find the value of the 2nd integer by adding 1 to the value of x.
24 + 1 = 25
The middle integer is equal to 25.please help. 20 points Solve for t.
t + 19 = 45
Enter your answer in the box.
t =
Answer:
t = 26
subtract 19 from the other side you get 26 so t = 26
The answer is 26 i hope thqt helped everyone
If the velocity of an object changes from 15 m/s to 50 m/s during a time interval of 4 s, what is the acceleration of the object? If the acceleration in problem 4 is constant, what's the average velocity of the object in the previous problem?
The object's average acceleration over the 4s interval would be
[tex]a_{\rm avg}=\dfrac{50\,\frac{\rm m}{\rm s}-15\,\frac{\rm m}{\rm s}}{4\,\rm s}=8.75\,\dfrac{\rm m}{\rm s}[/tex]
Under constant acceleration, the average veclocity of an object with initial velocity [tex]v_i[/tex] and final velocity [tex]v_f[/tex] is
[tex]v_{\rm avg}=\dfrac{v_f+v_i}2[/tex]
so assuming "problem 4" refers to the first question, the average veclocity of the object would be
[tex]v_{\rm avg}=\dfrac{50\,\frac{\rm m}{\rm s}+15\,\frac{\rm m}{\rm s}}2=16.25\,\dfrac{\rm m}{\rm s}[/tex]
During the track meet ryan jumps 13 yards 18 yards and 8 yards find the average distance of ryans lond jumps.
a)13 yards
b)12 yards
c)11 yards
d)19 yards
help please 5 points
Answer:
hint for next time
Step-by-step explanation:
never ask a a and b question for only 5 points
Please help me on #2! Could you also check the other numbers! Thank you so much!
Dani is correct. The equation can be written as y = 3x+50, which is a linear equation in the form y = mx+b. We have m = 3 as the slope and b = 50 as the y intercept
-----------------
x is the number of square feet, y is the total cost in dollars
3*x or 3x repesents multiplying the cost per square foot ($3) by the number of square feet (x). For example, if you have 10 sq ft, then so far the cost would be 3*x = 3*10 = 30 dollars.
This result is then added to 50 to get the total cost. We say that 3x is the variable cost, as it changes or varies depending on how large x gets. Additionally, the 50 is the fixed cost because this cost stays the same no matter what x is
total cost = variable cost + fixed cost
y = 3x + 50
can someone help please
Answer:
Step-by-step explanation:
For shirt :
Original cost = $54
New cost = $18
Change amount = 54 - 18 = $36
% INC/DEC = (36 /54) * 100 = 2 * 100 / 3 = 66.66%
For PS4 :
Original cost =$400
New cost = $250
Change in amount = 400- 250 =$150
% INC/DEC = (150/400) * 100 = 37.5%
For Coffee maker:
Original cost = $30
New cost = $20
Change in amount = 30 - 20 = $10
% INC/DEC = (10/30)*100 = 33.33 %
For Luggage:
Original cost = $180
New cost = $50
Change in amount = 180 - 50 = $130
% INC/DEC = (130/180)*100 = 72.22 %
if Alice and Finn roll two number cubes. Which of the following rules will make the game fair?
1Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
2Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
3Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
4Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.
Answer: Option A is correct.
Step-by-step explanation:
Since we have given that
Number of cubes Alice and Finn roll = 2
Sum of dices has outcome of 7 as the highest probability.
So,when, we move away from the probability gets equal.
Let A: Event of getting a total of 5.
Let B : Event of getting a total of 9.
So, [tex]A=\{(2,3),(3,2),(4,1),(1,4)\}[/tex]
And [tex]B=\{(5,4),(5,4),(6,3),(3,6)\}[/tex]
so, Probability of getting event A and B respectively.
[tex]P(A)=\frac{4}{36}=\frac{1}{9}\\\\and\\\\P(B)=\frac{4}{36}=\frac{1}{9}[/tex]
So, the game will make fair as both have equal possibility to win.
Hence, Option A is correct.
Answer:
Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
Step-by-step explanation:
If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle.
the main difference between a square and a rectangle is that a square has all sides of equal length, while a rectangle has opposite sides of equal length and adjacent sides of different lengths.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Given, a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle.
A square is a special case of a rectangle where all four sides are of equal length. So, a square is a rectangle with all right angles and all sides of equal length.
On the other hand, a rectangle is a four-sided polygon with all four interior angles equal to 90 degrees.
However, in a rectangle, the opposite sides are parallel, and the adjacent sides are of different lengths.
In summary, the main difference between a square and a rectangle is that a square has all sides of equal length, while a rectangle has opposite sides of equal length and adjacent sides of different lengths.
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Complete question:
If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle. what is the difference between a square and a rectangle?
PLEASE HELP I HAVE NO TIME AND I NEED THESE DONE!!!!!
1. 5b + 2 = 17
2. 3/8 n + 1 = -25
3. 9 + 4b = 17
4. 8x + 7 = - 7
5. 4d - 35 = -3
6. 15a - 54 = -9
Question 1. 5b + 2 = 17
Step 1. Subtract 2 from both sides of the equation.
5b+2-2=17-2
Step 2. Then simplify.
5b=15
Step 3. Finally divide by 5.
5b/5=15/5
Answer: b=3
Question 3.
Step 1. Subtract 9 from both sides.
9+4b-9=17-9
Step 2. And simplify.
4b=8
Step 3. Finally divide by 4.
4b/4=8/4
Answer: b=2
Hope this helps! :)
Answer:
With STEP
(1) 5b+2=17 move constant to the right
5b=17-2 subtract the numbers
5b=15 divide both side by 5
b=3
(2) 3/8n+1=-25 multiply both side by8
3n+8=-200 move constant to the right
3n=-200-8 divide both sides by 3
n=-208/3
Without Step just answer
(3) b=2
(4) x=-7/4
(5) d=8
(6) a=3
HOPE this HELP
The number 124 is going to be represented on a stem-and-leaf plot that has the key 3|4 = 34. Which part of the number will be the stem?
12
1
24
4
Answer:
12
Step-by-step explanation:
Note that for the "leaf" or the right side, it is only the one's place value. The left side, or the "stem" contains the tens place as well as anything greater.
124 in a stem-and-leaf plot is seen as: 12 | 4, in which 12 is your stem, and 4 is your leaf.
~
Answer:
12 is the stem
Step-by-step explanation:
The last digit ( or the ones place) is the leaf. Everything else is the stem
So for 124, the ones digit is the leaf. 4 is the leaf
Everything else is the stem 12 is the stem
12|4
help needed please!!!!!!
Answer:
EC = 5
GC = 7
Step-by-step explanation:
A bisector divides a segment into two equal parts. Since BE is 5 and BE = EC, EC is also 5.
All the perpendicular bisectors meet at point G. Therefore all the segments going from any vertex to point G are congruent. Since BG is 7, GC then will be 7 aswell. Hope this helped!
For the function f defined by f(x)=x^2+2x+3 find f(−x),−f(x) , and −f(−x).
Also, For the function g defined by g(x)= 55/x +3x find g(−x),−g(x), and −g(−x).
Help!
1. For the function f(x) = x^2 + 2x + 3:
a) f(-x) = x^2 - 2x + 3
b) -f(x) = -x^2 - 2x - 3
c) -f(-x) = -x^2 + 2x - 3
2. For the function g(x) = 55/x + 3x:
a) g(-x) = -55/x - 3x
b) -g(x) = -55/x - 3x
c) -g(-x) = 55/x + 3x
For both functions f and g, we found the values of f(-x), -f(x), -f(-x), g(-x), -g(x), and -g(-x) by substituting -x into the original functions and negating the functions where necessary.
1. For the function f defined by f(x) = x^2 + 2x + 3:
a) To find f(-x), we substitute -x into the function:
f(-x) = (-x)^2 + 2(-x) + 3 = x^2 - 2x + 3
b) To find -f(x), we negate the entire function:
-f(x) = -(x^2 + 2x + 3) = -x^2 - 2x - 3
c) To find -f(-x), we substitute -x into the negated function:
-f(-x) = -((-x)^2 + 2(-x) + 3) = -x^2 + 2x - 3
2. For the function g defined by g(x) = 55/x + 3x:
a) To find g(-x), we substitute -x into the function:
g(-x) = 55/(-x) + 3(-x) = -55/x - 3x
b) To find -g(x), we negate the entire function:
-g(x) = -(55/x + 3x) = -55/x - 3x
c) To find -g(-x), we substitute -x into the negated function:
-g(-x) = -(-(55/(-x)) + 3(-x)) = -(-55/x - 3x) = 55/x + 3x
Solve the system of linear equations by graphing. x−y=7, 0.5x+y=5
The system of linear equations x - y = 7 and 0.5x + y = 5 can be solved by first rearranging into y = mx + b form and graphing. Intersecting point of the two lines is the solution. In such equations, y is the dependent variable, relying on x, the independent variable.
Explanation:You've been asked to solve the system of linear equations by graphing. The pair of equations you're given are: x - y = 7, and 0.5x + y = 5. Let's start by expressing these equations in the form y = b + mx.
For x - y = 7, you can rearrange it as y = x - 7 where the slope (m) is 1 and the y-intercept (b) is -7.
For 0.5x + y = 5, you can rearrange it as y = -0.5x + 5 where the slope (m) is -0.5 and the y-intercept (b) is 5.
Now you must graph these two lines on the same graph. Where these two lines intersect, that is the solution of the system of equations.
When graphing these lines, start at the y-intercept (b) and use the slope (m) to find additional points. The slope is a ratio representing the vertical change in y for each unit of horizontal change in x.
Expressing Equations Graphically in this way can help visually solve the system of equations.
Dependence of y on x:
Also note that, in each equation, y is the dependent variable since its value relies on the value of x, the independent variable.
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a 24 gallon pool is being filled at the rate of 40 gallons per minute at this rate how many minutes will it take to feel this pull up a 450 minutes B 560 minutes C 600 minutes d 150 minutes who ever answer this question get 25 points I really need your help people
Answer:Divide 24,000 by 4 = 6,000 which = 1/4. so 3/4 = 18,000.
1 hour = 60 minutes
40 gallons X 60 minutes = 2,400 gallons per hour.
18,000/2,400 = 7.5 hour to fill 3/4
7.5 hours = 450 minutes.
Answer:
600 min
Step-by-step explanation:
It takes 1 min per 40 gal
Time = 24 000 × 1/40
Time = 600 min
4 divided 924 long division
To solve 924 ÷ 4, we simply divide 924 by 4. So, 924 divided by 4 equals 231.
When we're dividing one number by another, we're essentially figuring out how many times the divisor (the number you're dividing by) fits into the dividend (the number you're dividing).
In this case, we're dividing 924 by 4. We start by asking ourselves, "How many times does 4 fit into 9?" Since 4 doesn't fit into 9 evenly, we move to the next digit and consider 92. 4 fits into 92 twenty-three times (4 x 23 = 92).
Then, we subtract 92 from 924, which leaves us with 32. Now, we bring down the next digit, which is 4, and we consider how many times 4 fits into 324. 4 fits into 32 eight times (4 x 8 = 32).
So, we've found that 4 fits into 924 exactly 231 times without any remainder. Therefore, 924÷4=231.
Complete Question:
What is 924 divided by 4 ?
Lina wants to go on a trip to Venezuela. If the ticket is $1,538 and she has $873, what percent of the money does she already have?
Answer:
Step-by-step explanation:
is. 8.250 greater. than. 8.25
Answer:no
There both the same because just the differnce is the last number which is zero.
Step-by-step explanation:
All you got to do is find the answer and thats all
Plzz mark brainlest and thank me
Answer:
no
Step-by-step explanation:
they are equal
8.250 = 8.25
YaY!!! u got it!!!! =)
if the regular price is $3.29 and the markdown is 35%, What is the sale price?
Answer:
$2.14
Step-by-step explanation:
First, set up a proportion.
x over 3.29 equals 35 over 100.
You are trying to find what out of 3.29 is 35 percent.
Cross multiply and divide.
3.29 times 35 = 115.15
115.15 divided by 100 = 1.1515
Round to the nearest hundredth because you are dealing with money.
$1.15
Because you are looking for the sale price, you must add or subtract $1,15 from the original amount which is $3.29.
In this case, you must subtract because it is a markdown. You are taking an amount off of the original price.
$3.29 - $1.15 = $2.14
The final price is 2 dollars and 14 cents
Evaluate the following expressions giving the functions g(x)= -4x+3
g(10) is the expression
Answer:
g(10) = -37
Step-by-step explanation:
g(x)= -4x+3
g(1) means evaluate when x=10
g(10) = -4*10 +3
g(10) = -4*10 +3
g(10) = -40+3
g(10) = -37
out of 40 chocolates, ram and i shared in the ratio 1:3 . how many chocolates did ram get?
Answer:
Ram will get 10 chocolates
Step-by-step explanation:
It the chocolates are shared in the ratio of 1 to 3 then the total is 4
Ram : I
1:3
1+ 3 = total
1+ 3 =4
Our total is 40, but the ratio stays the same, we just add the variable x to the 1 and the 3
1x+ 3x =40
Combine like terms.
4x = 40
Divide each side by 4
4x/4 = 40/4
x =10
So ram will get 1 * 10 = 10 and you will get 3 * 10 = 30
PLEASE HELP!!!
Jason is trying to prove that this quadrilateral is a rhombus. Using the slope formula, he finds that opposite sides of the polygon are parallel. Since all of the sides appear to be congruent, Jason concludes that ABCD is a rhombus. Is Jason's reasoning correct? Why or why not?
A) correct; Jason can tell by looking at the graph that all sides are congruent.
B) correct; A rhombus has two pairs of parallel sides which may or may not be congruent.
C) incorrect; Jason must also prove that all sides are congruent by using the distance formula.
D) incorrect; A rhombus does not have two pairs of parallel sides. Jason must prove that all sides are congruent.
Answer: the correct answer is “ incorrect; Jason must also prove that all sides are congruent by using the distance formula.
Step-by-step explanation:
how many times greater is 7 x 10^6 than 4.5 x 10^-1
Let us assume that : 7 × 10⁶ is P times Greater than 4.5 × 10⁻¹
It means when we Multiply P with 4.5 × 10⁻¹, We should get 7 × 10⁶
⇒ (P × 4.5 × 10⁻¹) = 7 × 10⁶
[tex]\mathsf{\implies P = (\dfrac{7 \times 10^6}{4.5 \times 10^-^1})}[/tex]
[tex]\mathsf{\implies P = 1.56 \times 10^7}[/tex]
⇒ 7 × 10⁶ is 1.56 × 10⁷ times Greater than 4.5 × 10⁻¹
Use the table above to find the yearly premiums in each of the following cases. Emily Ruth Webster is twenty-seven. She is purchasing twenty-year endowment insurance, with a face value of $25,000. What is her annual premium? 519.50 558.50 1,058.50 1,066.75
Answer:
Emily Ruth's annual premium is $1058.50
Step-by-step explanation:
Emily Ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.
From the given table,
For females, the age of a male 3 years younger should be used.
So, we have to check for 24 year male for 20 year endowment.
It is 42.34 for every $1000 face value.
For a face value of $25000,
it is 25 * 42.34 = $1058.50
∴ Emily Ruth's annual premium is $1058.50
Round all answer to the nearest tenth.
1. Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 130 square feet. How long can a side of his patio be?
Answer:
Using the formula to calculate the area of a square, the side of the patio can be 11.4 ft.
Step-by-step explanation:
Square patio
Area: A=130 square feet= 130 ft^2
Side of the square: s=?
The formula to calculate the area of a square is:
A = s^2
Replacing A by 130 ft^2
130 ft^2 = s^2
Solving for s: Square root both sides of the equation above:
sqrt(130 ft^2) = sqrt(s^2)
11.40175425 ft = s
s = 11.40175425
Rounding to the nearest tenth:
s = 11.4 ft
To find the side length of a square given the area, take the square root of the area. So, the sides of Vince's patio will be approximately 11.4 feet long.
A square root is a mathematical operation that determines the value that, when multiplied by itself, equals a given number. It is denoted by the radical symbol (√). For example, the square root of 25 is 5, as 5 * 5 equals 25. Square roots are essential in various fields, including geometry, physics, and engineering, where they help calculate dimensions, solve equations, and analyze data. Square roots can be both real (positive or negative) and complex, depending on the input number.
To solve this problem, you need to understand that a square has four equal sides. The area of a square is calculated by squaring the length of one of its sides. So if we know the area, we can find the side length by taking the square root of the area.
Since Vince's area is 130 square feet, we calculate the square root of 130 which is approximately 11.4. Therefore, Vince can make each side of his patio 11.4 feet long, rounded to the nearest tenth.
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Tell whether x and y show direct variation.Explain your reasoning.If so, find k #3
Answer:
x and y do not show direct variation.
Step-by-step explanation:
The formula for direct variation is
y = kx Divide each side by y
k = y/x
k should have the same value for every point except, of course, (0,0)
For the first point,
k = 2/(-1) = -2
For the third point,
k = 2/1 = 2
The values of k are different, so x and y do not show direct variation.
Answer:x and y do not show direct variation.
Step-by-step explanation:
The formula for direct variation is
y = kx Divide each side by y
k = y/x
k should have the same value for every point except, of course, (0,0)
For the first point,
k = 2/(-1) = -2
For the third point,
k = 2/1 = 2
The values of k are different, so x and y do not show direct variation.
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Step-by-step explanation:
Help me Find FE if TE=8
Answer:
Sides of FE = 8 units.
Step-by-step explanation:
Median of any triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
In the given figure, the median from G meets the mid-point of the opposite side FE, at point T.
Since, GT is the median of ΔFGE and it bisects the side FE into two halves where FT=TE
Given: TE = 8 units.
FE = FT + TE
Since, FT = TE
FE = 2 TE = 2(8) = 16 units.
Therefore, the sides of FE = 8 units.
Answer:
16
Step-by-step explanation:
I did it
ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 1 : 5. If the longest side of ΔDEF measures 15 units, what is the length of the longest side of ΔABC?
Answer:
The answer is 25 units
Step-by-step explanation:
Determine the positive square root of -36
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{-1}\sqrt{36}\\= 6i[/tex]
The square root of a negative 1 is I, so you just take out the negative, replace it with I, then solve the square root like normal
[tex]i=\sqrt{-1}\\\\-36=(-1)(36)\\\\\sqrt{-36}=\sqrt{(-1)(36)}=\sqrt{-1}\cdot\sqrt{36}=i\cdot6=6i\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\Answer:\ \boxed{\sqrt{-36}=6i}[/tex]
Rewrite the equation x^2-4x+9=5 in the form (x-p)^2=q
Answer:
(x - 2)² = 0
Step-by-step explanation:
given x² - 4x + 9 = 5 ( subtract 5 from both sides )
x² - 4x + 4 = 0
This is a perfect square of the form
(x - a)² = x² - 2a + a²
compare coefficients of the x-term
- 2a = - 4 ⇒ a = 2
⇒ (x - 2)² = 0 ← is the required form