A factory uses 7/10 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3 1/2 barrels of raisins. How many batches of granola bars did the factory make yesterday?

Answer:

The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is [tex]\frac{1}{8}[/tex] full of water

⇒Total cups of water in the mug = [tex]\frac{1}{8} x[/tex]

Now,

Given that, The mug contains [tex]\frac{1}{6}[/tex] of a cup of water.

∴ we get

[tex]\frac{1}{8} x[/tex] =  [tex]\frac{1}{6}[/tex]

⇒x = [tex]\frac{1}{6}[/tex] × 8

     = [tex]\frac{8}{6}[/tex]

     = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]

⇒x = [tex]1\frac{1}{3}[/tex]

∴ we get

The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups

Answer:

It should be 114.

Step-by-step explanation:

114 / 3 = 38

Answer:

12?

Step-by-step explanation:

I think so..

Is it Wrong?

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills [tex]\frac{1}{9}[/tex] of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up [tex]\frac{1}{6}[/tex] of the pool. If both were to fill the pool together that means that in 1 hour they would fill...

[tex]\frac{1}{9} +\frac{1}{6} = \frac{5}{18}[/tex] of the pool in 1 hour.

Now to find how many hours it will take divide the pool by the speed with which it is getting filled.

[tex]1 / \frac{5}{18} = 3.6[/tex] hours

3.6 hours in other words is 3 hours and 36 minutes.

Answer:

y=2x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x-4

Answer:

74 is the correct answer to the question

Answer: 74

Step-by-step explanation:

Answer:

6x² – 10y² + 2xy + 10

Step-by-step explanation:

We'll begin calculating the sum of

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

... x² + 3y² – 6xy

+ 2x² – y² + 8xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x² – 2y² + 2xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Next, we shall determine the sum of:

–3x² + 4y² + 3 and 4y² – 5

This can be obtained as follow:

–3x² + 4y² + 3

+ 4y² – 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–3x² + 8y² – 2

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Finally, we shall subtract the sum of:

–3x² + 4y² + 3 and 4y² – 5

from the sum of:

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

.. 3x² – 2y² + 2xy + 8

– (–3x² + 8y² – 2)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

6x² – 10y² + 2xy + 10

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

wait plsss- i messed up.

Answer:

8

Step-by-step explanation:

Since they intersect you can just solve for x and y

since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8

add 4x to both sides to make 0=x^2+6x+8

and factor out (x+4)(x+2)

so the solutions for x are -4 and -2

then insert the two values for x into the first equation

so y=-4(-4) and y=-4(-2)

so y=16 and y=8 when x=-4 and x=-2

so the smallest value for y in both equations is 8

Please give brainliest :)

Answer:

step 3

Step-by-step explanation:

answer is step 3: 8x-3x=16+4

when your bringing over a plus you make it a minus

same with the minus bring it over its plus now

also with times and divide

time turns to divide

divide turns to times

Answer:

0,00003

Step-by-step explanation:

3×10-5

3/100000

=0,00003

Answer:

10=480 cupcakes 864=18 boxes 24=1152 cupcakes 1536=32 boxes

Step-by-step explanation:

Answer:

15+d

Step-by-step explanation:

Answer:

Step-by-step explanation:

15+d=t

Answer:

yessir

Step-by-step explanation:

Answer: Rounded to the nearest $10 he would have to invest $830

Step-by-step explanation: While I am not completely familiar with this sort of math I am still relatively confident that I got the correct answer. Using the formula A = Pe^rt. First we can convert the percentage to a decimal so it can be used efficiently in the formula. So r = 3.1/100 which in turn equals 0.031 which is our decimal. Now we can simply input our information into the formula for our answer so follow along

A = 830 * e ^(0.031 * 6)

A = 830(2.718281828459045)^(0.186)

A = 999.67

And of course this is not exactly $990 because the question stated to round the original investment amount to the nearest 10 dollar. This should be your answer and if you have any other questions about this please do not hesitate to reach out :)

Answer:

14

Step-by-step explanation:

(I go to a french school, so excuse my terminology, which might not always be correct)

The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.

GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.

2*7 = 14

KL = 14  

Answer:

(7,[tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Answer:

(7, 3.5)

Step-by-step explanation:

Answer:

5

youre welcome

Answer:

(u+3)(u-3)

Step-by-step explanation:

u²-9 = u²-3²

a²-b²=(a+b)(a-b)

u²-3²=(u+3)(u-3)

Answer:

u²-9

=u²-3²

=(u+3)(u-3)

Step-by-step explanation:

use formula a²-b²=(a+b)(a-b)

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

. X^2+6x-3=0

x²+6x+9-9-3=0

(x+3)²=12

x+3=√12

x=√12-3=0.46410161513

Answer:

Option A

The Area of the given figure is 5x²/2 + 3x/2 - 4

Step-by-step explanation:

For a given Trapezoid

side a = x + 7

side b = 4x + 1

height (h) = x - 1

Now, Area of Trapezoid

A = ½ (a + b) × h

A = ½ (x + 7 + 4x + 1) × (x - 1)

A = ½ (5x + 8) × (x - 1)

A = ½ (5x² - 5x + 8x - 8)

A = ½ (5x² + 3x - 8)

A = 5x²/2 + 3x/2 - 8/2

A = 5x²/2 + 3x/2 - 4

Thus, The Area of the given figure is

5x²/2 + 3x/2 - 4

-TheUnknownScientist

Answer: the answer is a: 5/2x squared + 3/2x -4

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X

=> Pedro = 4X

=> we know whole money = $1600

=> so, adding all

=>. 7x + 5x + 4x = $1600

=> 16x = $1600

=> x= $1600/16

=>. x = $100

now Maria = 7*100 = $700

Carolina = 5*100 = $500

Pedro = 4*100 = $400

hope it helps

Answer:

70

Step-by-step explanation:

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

Find more at: https://brainly.com/question/15165519

Answer:

i think its 4

Step-by-step explanation:

there are 12 face cards in a deck and the rest are no faced. Since there is 3 face cards in each 5 card thing, 12/3 = 4. then you could just fit in any 2 no faced cards in since there are many. hope that helps

Answer:

Step-by-step explanation:

36n³ = 2 * 2 * 3 * 3 * n * n *n

6n²   = 2*3 * n * n

GCF = 2 * 3 * n * n = 6n²

-36n³ = 6n² * (-6n)

-36n³ + 6n² = 6n²*(-6n)   + 6n²

                    = 6n² ( -6n + 1)