Alexis bakes 90 identical pizzas. Each pizza is cut either into 8 small slices or 6 large slices. There are 5 small slices for for every 3 large slices. How many of the 90 pizzas are cut into small slices?

Answers

Answer 1

Answer:

  50

Step-by-step explanation:

Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...

  [tex]\dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by $6(90-x)$}\\\\18x=900\quad\text{add $10x$}\\\\x=50\quad\text{divide by 18}[/tex]

50 of the 90 pizzas were cut into small slices.

_____

Check

The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.


Related Questions

Guide Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of watermelons that Micah has remaining?​

Answers

Answer:

"28 - w"

Step-by-step explanation:

Micah has 28 watermelons

He sells w

28 take away w

28 - w

An alternative could be "28 - w = m"

1) For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip?-------------------------------------------------------------------------------------------------------------------- Number 1) 11x + 8 = 315 ---------------------------------------------------------------------------------------------- Number 2) 315 + 8x = 11 --------------------------------------------------------------------------------------------- Number 3) 8x + 11 = 315 --------------------------------------------------------------------------------------------- ____________________________________________________________________ 2) In the word problem above, use the equation you found to determine how many students were in each bus.

Answers

Answer:

Number 3) 8x + 11 = 315

Answer: 38

equation number 3

Step-by-step explanation:

8x+11=315

    -11   -11

8x=304

304 ÷8

Yo The digit 6 in the number 406,000 is how many times greater than the digit in 400,060

Answers

Answer:

s

Step-by-step explanation:

Answer:

The number is 100 x greater than the other number

Step-by-step explanation:

406,000 is the number

400,060 is the comparing number

use a place value .Brainiest would be needed Please.

Drag the expressions to the correct functions. Not all expressions will be used. Consider the functions f and g. f(x)=4x^2+1 g(x)=x^2-3 Perform the function compositions.

Answers

Answer:

(f o g)(x) = 4x⁴ - 96x + 37

(g o f)(x) = 16x⁴ + 8x² - 2

Step-by-step explanation:

Since, the given functions are,

f(x) = 4x² + 1

g(x) = x² - 3

(f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

         = 4(x⁴ - 24x + 9) + 1

         = 4x⁴ - 96x + 36 + 1

         = 4x⁴ - 96x + 37

(g o f)(x) = g[f(x)]

             = (4x² + 1)²- 3

             = 16x⁴ + 8x² + 1 - 3

             = 16x⁴ + 8x² - 2

Therefore, out of the given options only two expressions are correct.              

Here is a table showing all 52 cards in a standard deck. Suppose 1 card is drawn at random from a standard deck. Find the odds in favor of drawing an 8. Find the odds against drawing a black face card.

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

this is because there are 13 different cards and you have an equal probability of drawing any of the 13 different cards

Which set of side lengths could be the sides of a triangle?
Ο Α.
28 cm, 7 cm, 20 cm
B.
16 cm, 5 mm, 8 cm
C.
9 cm, 9 cm, 11 cm
OD. 34 cm, 12 cm, 13 cm

Please hurry it’s a Galileo!!!!

Answers

The right answer is probably C

What is 5^2
please help

Answers

Hey there!

ANSWER: [tex]25[/tex]EXPLANATION:

[tex]5^2[/tex]

To write [tex]5^2[/tex] as a product, you will need to multiply 5 by its power. That means you have to multiply 5 twice.

[tex]5*5[/tex] which equals [tex]25[/tex].

So your answer is [tex]25[/tex].

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

The BMI equation is:
A)Weight / (Height x Height) x 703
B)None of the above
C)Weight x Body Fat %
D)Weight x Height x 703
E)Weight /Height x 703

Answers

A.) weight/(height x height)x 703

Devin was helping his grandfather gather corn in the
mornings. Each morning for 10 days he helped pick com
from 7:30 at until 10:00 am His grandfather paid him
$ 100 for his work How much did he make per hour?

Answers

Answer:

$4/hour

Step-by-step explanation:

From 7:30 am to 10:00 am it's 2.5 hours.

10 * 2.5 hours = 25 hours

He worked a total of 25 hours.

$100/(25 hours) = $4/hour

Find the midpoint between the two points (-2, 6) and (-4,-4).

answer ( ?,?) ​

Answers

Hey there! I'm happy to help!

To find the x value of the midpoint, add the x values and divide by 2.

-2+(-4)=-2-4=-6

-6/2=-3

For the y value, add the y values and divide by 2.

6+(-4)=6-4=2

2/2=1

So, our midpoint is (-3,1).

Have a wonderful day! :D

Frank wrote these ratios to describe the number of votes each candidate received compared to the total. Which one is wrong, and why?

Answers

Answer:The right answer is (B)

Step-by-step explanation:

Your welcome

Answer:

B) The numbers in the ratio 344 to 111 are written in the wrong order.

Step-by-step explanation:

Edg 2020

what statistic is the 50th percentile

Answers

Answer:

median

Step-by-step explanation:

The 50th percentile is the median. This value splits a dataset in half. Half the values are below the 50th percentile, and half are above it. The median is a measure of central tendency in statistics.

Angle RST is a right angle. Angle RSU has a measure of 25°. Lines R S and S T connect to form a right angle. Another line extends from point S to point U. Angle R S U is 25 degrees. What is the measure of angle TSU?

Answers

Answer:

complementary angles, right angle

Step-by-step explanation:

If two angles are complementary angles, then their sum is equal to a right angle

If two angles are complementary angles, then their sum is equal to a right angle

In this problem

-------> by complementary angles

we have

Substitute and solve for Angle TSU

therefore

the answer is the option

65%

Answer:

65 is the measure of angle TSU.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

28/z- z/4+1 1/8 when z =4

Answers

Answer:

7 1/8 or 7.125

Step-by-step explanation:

first subsitute z for 4

28/4 - 4/4 + 1 1/8

then do 28/4 - 4/4 which is 6,

add that to 1 1/8

and get 7 1/8

Answer:

Step-by-step explanation:

[tex]\frac{28}{z}-\frac{z}{4}+1\frac{1}{8}=\frac{28}{4}-\frac{4}{4}+\frac{9}{8}\\\\=7-1+\frac{9}{8}\\\\=6+\frac{9}{8}\\\\=\frac{6*8}{1*8}+\frac{9}{8}\\\\=\frac{48}{8}+\frac{9}{8}\\\\=\frac{57}{8}\\\\=7\frac{1}{8}[/tex]

-11 - 5x = 6(5x + 4)

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

-11-5x=6(5x+4)

-11-5x=30x+24

-5x=30x+35

-35x=35

-x=1

x=-1

Find the midpoint of the segment with the following endpoints (-3,-9)(-7,-3)

Answers

Answer:

(-5,-6)

Step-by-step explanation:

Let(-3,-9)=(x1,y1)

(-7,-3)=(x2,y2)

Using midpoint formula,

Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)

=((-3+(-7))/2,(-9+(-3))/2))

=((-3-7)/2),(-9-3)/2))

=((-10/2),(-12/2))

=(-5,-6)

Thus midpoint(x,y)=(-5,-6)

What is the value of 2(5-a)? +7a when a = 2 ?​

Answers

is it 2(5-2) + 7(2)?

if it is, then here is the answer...

20

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio

Answers

Idkek ghhhvyyvtctxtxtxrxxx

Answer:

It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350. No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

BRANLIEST how much times does 4 go into 12?

Answers

Answer:

3 because 4+4+4=14

               1  2  3

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

12 divided by 4 = 3

What is Avogadro's Number

Answers

Here you are. I’m on my phone so I can’t type it out with the fancy math symbols lol sorry if it’s not as helpful

Answer:

the number of atoms, molecules, ions, formula units, or other particles in a mole of a substance

Step-by-step explanation:

EDU 2020

The equation T = A3/2 is great if you know A and want to find T. Now, identify the correct inverse equation, which can be used to find A when you are given T. A = T2/3 A = T3/2 T = A2/3 T = A3/2

Answers

The inverse equation of the equation is: A =T2/3

The equation is given as:

T = A3/2

To calculate the inverse equation, we start by multiplying both sides of the equation by 2

T2 = A3

Next, we divide both sides of the equation by 3

A =T2/3

The equation cannot be further simplified

Hence, the inverse of the equation is: A =T2/3

Read more about change of subject at:

https://brainly.com/question/790938

The  value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]

Inverse equation:

The given equation is,

                       [tex]T=\frac{3}{2}A[/tex]

We have to find value of A in terms of T.

                      [tex]T=\frac{3}{2}A\\\\A=T\div \frac{3}{2}\\ \\A=T*\frac{2}{3}\\ \\A=\frac{2}{3}T[/tex]

Thus, the  value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]

Learn more about the Inverse equation here:

https://brainly.com/question/13998680

Round $.9666 to the nearest cent

Answers

Answer:

It would be $0.97

Step-by-step explanation:

You round the nearest cent so you round the second number from the dot

Solve: m + 2/3 = 1/2 a. -1 b. 1/6 c. - 1/6 d. 1 1/6

Answers

Answer:

c. - 1/6

Step-by-step explanation:

m + 2/3 = 1/2

m=1/2-2/3

m=-1/6

Consider the triangle. Triangle A B C is shown. Side A B has a length of 15, side B C has a length of 8, side C A has a length of 12. The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle? mAngleA = 95°, mAngleB = 53°, mAngleC = 32° mAngleA = 32°, mAngleB = 53°, mAngleC = 95° mAngleA = 43°, mAngleB = 32°, mAngleC = 95° mAngleA = 53°, mAngleB = 95°, mAngleC = 32°

Answers

Answer:

B

Step-by-step explanation:

mAngleA = 32°, mAngleB = 53°, mAngleC = 95°

The order of sides is equal to the order of opposite angles, which helps us to find that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.

Hence, the second option is the right choice.

What is the relation between the sides and the angles of a triangle?

In a triangle ABC, where a = BC, b = CA, and c = AB, and we are given that a > b > c, then we can see that ∠A > ∠B > ∠C, that is, the sides and the opposite angles follow the same order.

The largest side of the triangle is opposite the largest angle, while the shortest side of the triangle is opposite the shortest angle.

How to solve the question?

In the question, we are asked to consider a triangle ABC, where AB has a length of 15, BC has a length of 8, and CA has a length of 12.

The angles of this triangle are 32°, 53°, and 95°.

We are asked to find the measure of each angle based on the side lengths.

The side opposite  ∠A is BC = a.

The side opposite  ∠B is CA = b.

The side opposite  ∠C is AB = c.

We are given that, AB = 15, BC = 8, and CA = 12.

Thus we can write that AB > CA > BC or c > b > a.

Now, we know that opposite angles follow the same order.

Therefore, we can write that ∠C > ∠B < ∠A.

The 3 angles given to us are 32°, 53°, and 95°.

Thus, we can say that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.

Hence, the second option is the right choice.

Learn more about triangles at

https://brainly.com/question/10618012

#SPJ2

Math problem a recipe for a dessert requires 3 4/5 cups of strawberries and 1.5 cuos of yogurt . How many cups of strawberries should be used if the recipe was tripled

Answers

Answer:

The number of cups of strawberries to be used is 11 2/5 cups

Step-by-step explanation:

Here, we want to know how many cups of strawberries to be used given that the recipe was tripled.

From the question, we are told that the recipe required 3 4/5 cups of strawberries.

Now, by tripling the recipe, it means we will be tripling the individual cups too.

So the number of cups of strawberries to be used will be ;

3 4/5 * 3

3 4/5 as improper fraction is 19/5

so we have 19/5 * 3 = 57/5 = 11 2/5

Please help me i will make you brainliest There's 28 students how many prefer cheese pizza ? 15% sausage 10% supreme 25 %cheese 50% pepperoni

Answers

answer:

7 students prefer cheese pizza

reason:

because 25% of 28 is 7 which means that is 25% prefer cheese that means 7 students prefer cheese

Find the equation of the line shown. (y=mx+c)

Answers

Answer:

y=-1/4x + 2

Step-by-step explanation:

5 5/9 - 2 4/9?? Help!

Answers

Answer:

The answer would be 3 1/9

Step-by-step explanation:

5-2= 3 5/9-4/9 = 1/9

Answer:

3  1/9

Step-by-step explanation:

(5 x 9 + 5)/9 - 2 4/9

(45 + 5)/9 - 2 4/9

50/9 - 2 4/9

50/9 - (2 x 9 + 4)/9

50/9 - (18 + 4)/9

50/9 - 22/9

(50 - 22)/9

28/9

3 1/9

Solve the quadratic equation 6x²-5x-21=0

Answers

Answer:

the answer for your problem is -3/2 by my calculations. Just had a lesson on quadratic equations in class

What is a numerical expression for the verbal expression. eight times six divided by two minus nine

Answers

Answer:

15

Step-by-step explanation:

8×6÷2-9

48÷2-9

24-9

15

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