Ask question

Ask question

All categories

3 years ago

15

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of

pretzels does Ted need to make 15 cups of trail mix?

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

Ted will need $3\frac{3}{4}$ cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

x cups of pretzels to make 15 trail mix

Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = $3\frac{3}{4}$ cups.

<u>Ted will need </u> $3\frac{3}{4}$ <u> cups of pretzels to make 15 cups of trail mix.</u>

You might be interested in

Solve 2(x + 1) = 2x + 2. (1 point)<br> ♡<br> 0<br> O<br> All real numbers<br> No solution<br> 1

sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

6 0

2 years ago

How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?

alex41 [277]

Answer:

Linear functions

Step-by-step explanation:

3 0

2 years ago

How do you divide fractions?

balandron [24]

Keep change flip. You keep the first fraction the same, change the sign to multiplication and flip the second fraction. Example: 3/4 divided by 1/2 would be worked as 3/4 times 2/1

3 0

2 years ago

Read 2 more answers

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

2 years ago

Share 800 in the ratio 9:7.

bulgar [2K]

<u>Answer:</u>

The numerator '9's share is 450 and the denominator '7's share is 350.

<u>Step-by-step explanation:</u>

<u>Step-1: Add the ratios:</u>

9 + 7
16

<u>Step-2: Divide 800 by the sum of the ratios:</u>

800 ÷ 16
=> 50

<u>Step-3: Multiply 50 with each ratio:</u>

9 x 50 = 450
7 x 50 = 350

Hence, <u>the numerator '9's share is 450 and the denominator '7's share is 350.</u>

Hoped this helped.

$BrainiacUser1357$

<u />

8 0

2 years ago