Answer: 5 gallons
Step-by-step explanation:
There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4
There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4
There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2
There is only 1 x for 1, so it will remain 1.
So if you add these up,
3/4+3/4+5/2+1
6/4+10/4+1
16/4+1
4+1
There is 5 gallons of sap produced that day.
Hope this helped!
Answer:
5 gallons
Step-by-step explanation:
Number of x's on 1/4 = 3
So, amount of sap trees produce that day = 3/4
Number of x's on 3/8 = 2
So, amount of sap trees produce that day = 2 × 3/8 = 3/4
Number of x's on 5/8 = 4
So, amount of sap trees produce that day = 4 ×5/8 = 5/2
Number of x's on 1 = 1
So, amount of sap trees produce that day = 1 × 1 =1
Therefore,
total amount of sap the trees produce = amount of sap trees produce based on number of x's on 1/4 + amount of sap trees produce based on number of x's on 3/8 + amount of sap trees based on number of x's on 5/8 + amount of sap trees based on number of x's on 1 = [tex]\frac{5}{2}+\frac{3}{4}+\frac{3}{4}+1=\frac{10+3+3+4}{4}=\frac{20}{4}=5\,\,gallons[/tex]
I need help with this question quickly please! Show steps!
Answer:
A y = -x+2
Step-by-step explanation:
To find the slope of the line m we use the formula
slope = (y2-y1)/(x2-x1)
= (-9--7)/(4-2)
= (-9+7)/(4-2)
= -2/2
= -1
When lines are parallel, the slopes are the same. We need to find a line with slope of -1
y = -1x+2 is written in the form y =mx+b where m is the slope
m=-1 so the slope is -1
This line has the same slope so it is parallel to the line above.
Answer:
would be A
Step-by-step explanation:
SLOPE HAS TO BE -1
Please help with this last question
Salar's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $3.50 each and he has $15.25 to spend, how many tickets can he buy?
Answer: 4 tickets
Step-by-step explanation: If $15.25 is Salar’s total and each ticket costs $3.50, we need to use division to figure out how many tickets Salar can purchase. When we divide 15.25/3.50, we get 4.35 (approximately). Salar can’t have .35 of a ticket, so we round down to 4 whole tickets.
If p(x) is a cubic polynomial with zeros at -3,-1, and 2, and p(0)=6, find p(x).
Answer:
[tex]p(x)=-x^3-2x^2+5x+6.[/tex]
Step-by-step explanation:
If a cubic polynomial has zeros [tex]x_1,\ x_2,\ x_3,[/tex] then it has a form
[tex]p(x)=a(x-x_1)(x-x_2)(x-x_3).[/tex]
In your case, zeros are -3, -1 and 2, then the polynomial is
[tex]p(x)=a(x-(-3))(x-(-1))(x-2),\\ \\p(x)=a(x+3)(x+1)(x-2).[/tex]
If [tex]p(0)=6,[/tex] then
[tex]p(0)=a(0+3)(0+1)(0-2)=6,\\ \\-6a=6,\\ \\a=-1[/tex]
and
[tex]p(x)=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6.[/tex]
if x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
Answer:
x =7
Step-by-step explanation:
Remark
A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 .... Each term is multiplied by a common number and the term before it. In this case the common term is 3. To get the next term after 9, you multiply 9 by 3.To get the common ratio divide the second term by the first and then the third term by the secondEquation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
(x + 2)/(x - 4) = 3/1 Cross multiply(x + 2)*1 = 3*(x - 4) Remove the brackets on the right.x + 2 = 3x - 12 Add 12 on both sides.x + 2 + 12 = 3x - 12 + 12 Simplifyx + 14 = 3x Subtract x from both sides14 = 3x - x2x = 14 Divide by 2x = 14/2x = 7If f(x)=x+7 and g(x)=1/x-13, What is the domain of (f•g)(x)
Answer:
F(x) = x+7
g(x) = 1/(x-13)
fog(x) = [1/(x-13)] + 7
The denominator of the fraction cannot be equal to zero.
So, the domain of fog(x) is x∈R~{13}
Step-by-step explanation:
To find the domain of (f•g)(x), substitute g(x) into f(x) and identify any values of x that make the expression undefined.
Explanation:The function (f•g)(x) represents the composition of two functions, f(x) and g(x). To find the domain of (f•g)(x), we need to determine the values of x for which the composition is defined.
The composition (f•g)(x) can be written as f(g(x)). Substituting g(x)=1/x-13 into f(x)=x+7, we have f(g(x))=(1/x-13)+7.
The domain of (f•g)(x) consists of all the values of x for which the expression (1/x-13)+7 is defined. Since division by zero is not defined, we need to exclude x=0 from the domain. Additionally, we need to exclude the value x=13 because the expression (1/x-13)+7 would lead to division by zero. Therefore, the domain of (f•g)(x) is x≠0, 13.
Learn more about Domain of composition of functions here:https://brainly.com/question/30194233
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Help!!!! (Must be done in 30 mins)
Answer:
w=-4
Step-by-step explanation:
w-20=6w
-20=5w
-4=w
How do I factor quadratics?
Ok so factoring quadratics is fairly easy once you get the hang of it
So we have a quadratic [tex]x^2+x-2[/tex]
My first question would be what 2 numbers multiply to -2 and add to +1
the answer is 2 and -1
Second question what 2 values multiply to get [tex]x^2[/tex]
the answer x and x
your factored form would be [tex](x-1)(x+2)[/tex]
This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information
Use slope formula to find the missing coordinate.
(r, 1) and (5, -7) Slope = 8/3
Answer:
r=8
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
Substitute in what we know.
8/3 = (-7-1)/(5-r)
Simplify
8/3 = -8/(5-r)
We can use cross products to help us solve.
8 * (5-r) = 3 * (-8)
divide each side by 8
8/8 * (5-r) = 3 * (-8)/8
5-r = -3
Subtract 5 from each side
5-r-5 = -3-5
-r = -8
Multiply by -1
r = 8
Jeramy took 6 hours to read 222 pages of his book. What is Jeramy’s reading speed
Answer:
37 pages/hour
Step-by-step explanation:
This is a unit rate problem.
You are trying to find the number of pages per hour.
Divide the number of pages by the number of hours.
222 pages in 6 hours
(222 pages) / (6 hours) = 37 pages/hour
Answer:
37 pages/hour
Step-by-step explanation:
To find the reading speed, we take the pages read and divide by the time it took.
222 pages/ 6 hours
37 pages/hour
Two parallel lines are crossed by a transversal . What is the value of k?
Answer:
k = 60
Step-by-step explanation:
2k + 11 is a same side corresponding angle, hence
2k + 11 = 131 ( vertically opposite angles )
subtract 11 from both sides
2k = 120 ( divide both sides by 2 )
k = 60
Answer:
Option C. k = 60
Step-by-step explanation:
There are two lines Z and Y and crossed by a transverse x.
We have to find the value of k.
Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°
so opposite angle of ( 2k + 11 ) will be = (2k + 11)
and corresponding angles are equal in measure.
So 2k + 11 = 131
2k = 131 - 11
2k = 120
k = 60
Option C k = 60 is the answer.
Bhavik bought 33 liters of milk and 55 loaves of bread for a total of \$11$11. A month later, he bought 44 liters of milk and 44 loaves of bread at the same prices, for a total of \$10$10. How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer: The cost of 1 liter milk is $ 0.75 and the cost of a loaf of bread is $1.75
Step-by-step explanation:
Let the cost of one liter of milk is m dollar and the cost of one loaf of bread is b dollar.
Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11
That is, 3 m + 5 b = 11 ----------(1)
And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10
That is, 4 m + 4 b = 10 -----------(2)
4 × Equation (1),
12 m + 20 b = 44 -----------(3)
3 × Equation (2),
12 m + 12 b = 30 --------------(4)
Equation (3) - Equation (4),
We get, 8 b = 14
⇒ b = 14/8 = 1.75
By putting the value of b in equation (1)
We get,
3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75
Thus, the price of one liter of milk = $ 0.75
And, the price of one loaf = $ 1.75
Answer:
The cost of 1 liter milk is $ 0.75 and the cost of a loaf of bread is $1.75
Step-by-step explanation:
HELP ME THIS IS DUE SOON AND I HAVE NO IDEA HOW TO DO IT!!!!!!
14. room temperature ranges from 20 degrees C to 25 degrees C. find the range of room temperature in fahrenheit. use the formula F - 32 = 1.8 C to convert from the Celsius scale to fahrenheit scale.
10. 5d - 3.3 = 7.2
3. - 3t + 6 = 0
9. 3/4f + 5 = -5
12. 1.3z + 1.5 = 5.4
Answer:
Answer:
Room temp is 68°F to 77°F
Explanation:
Plug in 20 and 25 for C
20:
#F-32=1.8*20#
#=>F=36+32=68#
25:
#F-32=1.8*25#
#=>F=45+32=77#
If the sum of two numbers is 19 and their difference is 3. What are the two numbers?
Answer:
11 & 8
Step-by-step explanation:
11+8=19
11-8=3
Answer:
The answer is 8 and 11
Step-by-step explanation:
8 + 11 = 19
11 - 8 = 3
Tom knows that his school 10 out of every 85 students are left-handed. There are 391 students in Tom's school.
How many students in toms school are left-handed?
please show work if you help and i will mark as most BRAINLY THANK YOU GUYS!! ;)
graph the solution set. please help
Answer:
In the attachment.
Step-by-step explanation:
Rewrite [tex]x\geq-3y-6[/tex] as a [tex]y\geq -\frac{1}{3}x-2[/tex]. Then mark each set with different color and take the intersection of these.
What does this symbol “ mean in math
I think, it's the symbol of the inches.
3" = 3 inches
or it's the second derivative of the function
[tex]\dfrac{d^2y}{dx^2}=f''(x)[/tex]
you roll a fair six sided die the die shows an odd number or number greater than four
Answer:
P (odd number or number greater than 4) = 4/6 = 2/3
Step-by-step explanation:
The solution set { 1,2,3,4,5,6}
Odd numbers are 1,3,5
Numbers greater than 4 are 5,6
Notice that 5 is repeated. We can only count it once
There are 4 answers that meet the criteria (since we can only count 5 once)
P (odd number or number greater than 4) = 4/6 = 2/3
In a supermarket bin the number of packages of red to peppers to the number of packages of green peppers is in the ratio of 8 is to 13.The peppers are sold in 2 pound packages.What is the least possible weight of red peppers in the bin?
Answer:
16 pounds
Step-by-step explanation:
The ratio of no. of packages of red pepper to no. of packages of green pepper is given 8 is to 13.
So, atleast 8 packages of red pepper are sold
Therefore, least possible weight of red peppers in the bin = 2×8 = 16 pounds.
The least possible weight of red peppers in a supermarket bin with a ratio of 8 to 13 of red to green peppers, where each package weighs 2 pounds, is 16 pounds.
To find the least possible weight, we assume the smallest number of packages that maintain the ratio. Multiplying both numbers of the ratio by 2 pounds gives us the weight of the red and green peppers, but since we want the least possible weight of red peppers, we'll only calculate for red.
Therefore, if we have 8 packages of red peppers, each weighing 2 pounds, the calculation would be:
8 packages × 2 pounds/package = 16 pounds of red peppersSolve for a in the equation a-17=42
Answer:
a = 59
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable (a). Add 17 to both sides
a - 17 = 42
a - 17 (+17) = 42 (+17)
a = 42 + 17
Simplify. Combine like terms
a = 42 + 17
a = 59
59 is your answer
~
Solve for a (this means they want you to get "a" by itself in the equation)
So:
a - 17 = 42 Add 17 on both sides to get "a" by itself
a - 17 + 17 = 42 + 17
a = 59
What is sin 60 degree
Answer: if talking square root, it is sqrt3/2. if talking decimals, it is about 0.87.
Answer:
Sine 60°= √3/2
=1.732/2
0.8660
Step-by-step explanation:
In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
From the triangle shown in the attachment
The sine of an angle =
Opposite/hypotenuse
Sine 60°= √3/2
=1.732/2
0.8660
You are working as an office apprentice for the bksb Newcastle Arena.
The arena is attempting to cut down on some of its running costs. Look at the table below that lists the costs for the previous five years.
Year Costs (£)
Year One 1.4 million
Year Two 1.6 million
Year Three 1.8 million
Year Four 2.5 million
Year Five 1.7 million
What is the mean amount of costs?
Answer:
Mean = £1.8 million
Step-by-step explanation:
The MEAN is the sum of all the numbers divided by the number of numbers.
There are 5 numbers in totalThe sum is [tex]1.4+1.6+1.8+2.5+1.7=9[/tex] millionHence the mean is [tex]\frac{9}{5}=1.8[/tex] million
You are making candles for your friends. A mold for the candles cost $22.50 and wax to make one candle cost $5 . Write an algebraic expression for the total cost of making x candles .You make 8 candles. Find the total cost
Expression: 22.50+5(x)
8 candles: $62.50
which graph represents the function f(x)=0.25x+5
Answer:
Option D.
Step-by-step explanation:
Consider the given function
[tex]f(x)=0.25^x+5[/tex]
We need to find the graph of given function.
Substitute x=0 in the given function to find the y-intercept of the function.
[tex]f(0)=0.25^(0)+5[/tex]
[tex]f(0)=1+5[/tex]
[tex]f(0)=6[/tex]
So, y-intercept of the function is 6.
[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]
We can concluded that
[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
Matthew is 26 years old. He buys 50/100/25 liability insurance, and collision and comprehensive insurance, each with $250 deductibles.
What is his total annual premium?
Answer:
$1,846.9
Step-by-step explanation:
Liability Insurance 50/100/25
Where 50/100=$310; and 25=$175. The equation is ($310+$175=$485)
Collision & Comprehensive Premiums
Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=$537)
He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=$480.5; and for Collision and Comprehensive the equation is $(185+102)*102=$344.4
Added all up ($485+$537+$480.5+$344.4=$1,846.9)
Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.
Given that my age is an integer number of years, what is the smallest my age could be?
Answer: His smallest age could be 16 years.
Step-by-step explanation:
Since we have given that
Four-fifths of his current age is greater than three-quarters of his age one year from now.
Let his present age be x
So, According to question,
[tex]\frac{4}{5}x>\frac{3}{4}(x+1)[/tex]
Take the equality,
[tex]\frac{4}{5}x=\frac{3}{4}(x+1)\\\\\frac{4}{5}x=\frac{3}{4}x+\frac{3}{4}\\\\\frac{4}{5}x-\frac{3}{4}x=\frac{3}{4}\\\\\frac{16x-15x}{20}=\frac{3}{4}\\\\\frac{x}{20}=\frac{3}{4}\\\\x=\frac{3\times 20}{4}\\\\x=15[/tex]
So, [tex]x>15[/tex]
Hence, Nearest and smallest integer greater than 15 is 16 .
Therefore, His smallest age could be 16 years.
Answer:
Answer: His smallest age could be 16 years.
Step-by-step explanation:
Since we have given that
Four-fifths of his current age is greater than three-quarters of his age one year from now.
Let his present age be x
So, According to question,
Take the equality,
So,
Hence, Nearest and smallest integer greater than 15 is 16 .
Therefore, His smallest age could be 16 years.
Mario made 6 batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra Batch. How many cups of sugar will Mario use altogether? Show work.
Answer:
57
Step-by-step explanation:
6x?=5/8x15 3/4
HELP I NEED THESE QUESTIONS ANSWERED BEFORE THERE DUE PLZ HELP!!!!!!!
Answer:
Please, see the answers in the attached files.
Step-by-step explanation:
Please, see the attached files.
Thanks.
Someone help me on my question.
Answer:
C < A < B
Step-by-step explanation:
Answer:
Step-by-step explanation:The answer is C<A<B and the reason is is because angle A and C are the same and angle B is the largest.
I really need help please!! Show work please!! :)
Answer:
First Answer C
Second andswer B
Step-by-step explanation:
Left Panel
Givens
In a previous question we have found 2 things.
1. That we are working with a right angle triangle2. That two of the sides are both 9. We did not require the third side. Now we do.If two of the sides are 9 then in this case only we can use the Pythagorean theorem to find the third side. That is because the the base and height meet at right angles.
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
c^2 = 162
sqrt(c^2) =sqrt(162)
c = 12.71
Perimeter
The perimeter = 9 + 9 + 12.71 = 30.7
Answer C
The diagram for the rectangle is shown below. We need to find the length and width.Width = abs(-3) + abs(2)Width = 3 + 2Width = 5Length = 8 - 2 Length = 6Area = Width * LengthArea = 6 * 5Area = 30Answer B