A chocolate cake and a vanilla cake were each cut into 12 slices. 5 slices of the chocolate cake were eaten and 7 slices of the vanilla cake were eaten. Was more of the chocolate cake or more of the vanilla cake eaten?

Answer:

D

Step-by-step explanation:

Answer:

y = mx + b

Step-by-step explanation:

y = mx + b is the equation of a line in slope-intercept form

m is the slope or rate of change, and b is the y-intercept

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

Answer:

33.33333333....

Step-by-step explanation:

Answer:

33.3%

Step-by-step explanation:

Answer: $ 2,168

Step-by-step explanation:

As we know,

Average = [tex]\dfrac{\text{Sum of terms}}{\text{Number of terms}}[/tex]

Given: The McConnell's records for January, February, March, and April show that their expenditures totaled $2,004, $1,897, $2,345, and $2,426, respectively.

Average monthly expenditure for the four months

[tex]=\dfrac{2004+1897+2345+2426}{4}\\\\=\dfrac{8672}{4}\\\\=2168[/tex]

Hence, their average monthly expenditure for the four months = $ 2,168.

Answer:

C

Step-by-step explanation:

Answer:

line RS is congruent to line YZ

angle R is congruent to angle Y

Step-by-step explanation:

Answer:

-$15.00

Step-by-step explanation:

simple math bro

Answer:

2j-20

Step-by-step explanation:

Multiply 2 into the parenthesis. So 2(j) -2(10).

This equals 2j-20.

Answer:

The answer is in the above image

Answer:

Step-by-step explanation:

Part A

There are 5 lemon Jelly Beans and 8 graph jelly beans.

The ratio is lemon / grape = 5/8

Part B

The trick is to leave the lemon jelly beans alone. You have 8 grapes. If you add 2 more grape jelly beans you would have 10 jelly beans altogether.

So add 2 grapes Now the ratio is lemon / grape = 1/2 = 5/10

Part C

After the addition of 2 grape Jelly beans (giving 10 grapes) the total is 5 + 10 = 15. So the ratio of lemon / total = 5/15

Part D

There are 10 grape jelly beans. The total is grape / total = 10/15

The underlined parts are the answers.

Answer:

44 Minutes

Step-by-step explanation:

If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.

If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.

Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.

Answer:

The slope is -1

Y-intercept is (0, -6)

Equation is y = -1x - 6 or y = -x - 6 either is right

Step-by-step explanation:

We already know that the slope is negative because the line is pointed this way \ pointed up to the left.

You have to do rise/run to find the slope.

The rise is 6 and the run is 6

6/6 = 1 since the line is negative the slope is -1x or -x

The y intercept is -6

Use the point (-2, -4)

Plug in

-4 = -(-2) + b

-4 = 2 + b (subtract 2 on both sides)

-6 = b

y = -x - 6

Hope this helps ya!!

Answer:

80°

Step-by-step explanation:

Because the triangle are congruent, the 3rd angle of both triangle needs to bring the sum of the triangle to 180°, so the last angle must be 80

Answer:

Yes

Step-by-step explanation:

Cause 6.99 is close to 7, and 7 * 5 is 35

Yes the estimate made is perfectly reasonable that the prices of 5 tickets will be approximately $35 .

Given,

Price for each ticket of movie = $6.99

Now,

Total friends going to movie = 5

Price of each ticket = $6.99

Approximate price of ticket = $7

So,

1 ticket price ⇒  ≈ $7

Using unitary method.

Multiply each side by 5 .

5 ticket price ⇒ ≈ 7*5

5 ticket price ⇒ ≈$35

Therefore the prices of 5 tickets will be approximately $35 .

Thus it can be concluded that the estimate is correct.

Know more about unitary method, here:

https://brainly.com/question/28276953

#SPJ4

Answer:   25d  = 1,500

Step-by-step explanation:  i have no explanation, sorry if you need one i will work it out but if you just need the anwser, there it is .

Answer:

All but the second one

Step-by-step explanation:

Find the inverse of each function:

b(x)=x^2+3

y=x^2+3

x=y^2+3

x-3=y^2

sqrt(x-3)=y

This inverse function is a function

d(x)=-9

y=-9

This doesn't have an inverse function

m(x)=-7x

y=-7x

x=-7y

-1/7x=y

This inverse function is a function

p(x)=|x|

y=|x|

x=|y|

x=y

This inverse function is a function

Therefore, all but the second function have inverses that are functions

Answer:

All but the second one have inverse functions

Step-by-step explanation:

Brainliest pls pls pls pls

The answer is 4

Step-by-step explanation:

Because: (12x+5y)%3z is = [12(0.5)+5(6)]%3(3), which is (6+30)%9 = 4

I hope that this helps you to understand how to do it!

Answer:

I'm pretty sure its plate techtonichs.

Step-by-step explanation:

(hope it helped)

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Thus, 4/5 is the simplified fraction for 48/60 by using the GCD or HCF method. Thus, 4/5 is the simplified fraction for 48/60 by using the prime factorization method.

Answer:

when x = 0, the answer is 0

when x = 3, the answer is 24

when x = 4, the answer is 32

Answer:

When x=0 the answer is =0

When x=3 the answer is =24

When x=4 the answer is=32

Step-by-step explanation:

8*0=0

8*3=24

8*4=32

Hope this helps! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)

Answer:

The number is infinity

Step-by-step explanation:

Let the unknown number be x

if the number increased by three, then we have;

x + 3

Also quadrupling that number increased by five all divided by four is expressed as;

(4x+5)/4

Equating bith expressions and calculating x;

x+3 = (4x+5)/4

cross multiply;

4(x+3) = 4x + 5

4x+12 = 4x + 5

4x-4x = 5 - 12

0x = -7

x = -7/0

x = ∞

Hence the number is infinity

Answer:

-6, 9, and 81

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) -6

B)  -9

C) -27

Answer:

Acute

Step-by-step explanation:

I'm not sure what the directions are, but by the first few words i believe it says to "classify each triangle by its [qualities]"

therefore, since the triangle has all angles less than 90 it is acute and no work needs to be shown

if the directions are different lmk

Answer: 40x4+25 is what you need to do Your answer is 185

Step-by-step explanation:

Answer:

$185

Step-by-step explanation:

25 for the initial fee, then 40 for each hour worked.

40 x 4 = 160

160 + 25 = 185

Answer:

If you eat 7 mini-muffins, will you consume 1134 calories.

Step-by-step explanation:

A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin.

i.e.

Total calories of standard muffins = 270 × 12 = 3240 calories

If the same amount of calories are made by 20 mini-muffins, then the total number of calories per mini-muffin will be:

3240/20 = [tex]162[/tex] calories per muffin

As you ate 7 mini-muffins.

Thus,

Your eaten calories = 162 × 7             ∵ 162 calories per muffin

                                 = 1134 calories

Therefore, if you eat 7 mini-muffins, will you consume 1134 calories.