How many cups are there in a quart of water?

3. Uncle Gino's Pizza Parlor sold 200 sausage

Burka [1]

3. They sold 250 pizzas last week.

4. There are 80 tropical fish in the shipment.

5. 150 students were surveyed.

6. The total size of file is 1000 megabytes.

Step-by-step explanation:

3. Uncle Gino's Pizza Parlor sold 200 sausage pizzas last week. That was 80% of the total pizzas they sold. How many total pizzas did they sell last week?

Given,

Pizzas sold last week = 200

This represents 80% of total pizzas sold.

Let,

x be the total pizzas sold.

80% of x = 200

$\frac{80}{100}x=200\\0.8x=200$

Dividing both sides by 0.8

$\frac{0.8x}{0.8}=\frac{200}{0.8}\\x=250$

They sold 250 pizzas last week.

4. The local pet store received a shipment of tropical fish. Seventy-five percent of the tropical fish were clown-fish. If the shipment included 60 clown-fish, how many total tropical fish were in the shipment?

Given,

Number of clown-fish in shipment = 60

This represents 75% of total shipment.

Let x be the total number of fish in shipment.

75% of x = 60

$\frac{75}{100}x=60\\0.75x=60$

Dividing both sides by 0.75

$\frac{0.75x}{0.75}=\frac{60}{0.75}\\x=80$

There are 80 tropical fish in the shipment.

5. In a survey of favorite pets, 45 students said they preferred cats. This was 30% of the total number of students surveyed. How many students took the survey?

Given,

Number of students who preferred cats = 45

This represents 30% of total students surveyed.

Let, x be the number of total students surveyed.

30% of x = 45

$\frac{30}{100}x=45\\0.3x=45$

Dividing both sides by 0.3

$\frac{0.3x}{0.3}=\frac{45}{0.3}\\ x=150$

150 students were surveyed.

6. Kara has downloaded 250 megabytes of a file onto her computer. The screen tells her that this is 25% of the total file. How many megabytes is the file?

Given,

File downloaded = 250 MB

This represents the 25% of total size of file.

Let, x be the total size of file.

25% of x = 250

$\frac{25}{100}x=250\\0.25x=250\\$

Dividing both sides by 0.25

$\frac{0.25x}{0.25}=\frac{250}{0.25}\\x=1000$

The total size of file is 1000 megabytes.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

6 0

3 years ago

A/4 + 2 = 6 &' -4 = r/20 - 5 can u please help me on these two

statuscvo [17]

A/4 + 2 = 6....subtract 2 from both sides
A/4 = 6 - 2
A/4 = 4...multiply both sides by 4, eliminating the 4 on the left side
A = 4 * 4
A = 16

-4 = r/20....multiply both sides by 20, eliminating the 20 on the right side
-4 * 20 = r
-80 = r

8 0

3 years ago

Please help! I dont understand! Thank you

Digiron [165]

QUESTION A

The given inequality is

$x-1\:>\:5$

Add 1 to both sides of the inequality to obtain;

$x\:>\:5+1$

$x\:>\:6$

Answer: 2. $x\:>\:6$ , open dot at 6 and shaded to the right.(A)

QUESTION B.

The given inequality is $2x \le 6$ .

Divide both sides by 2;

$x \le \frac{6}{2}$ .

$x \le 3$ .

Answer: 5. $x \le 3$ , closed dot at 3 and shaded to the left(B).

QUESTION C

The given inequality is $x-7\:>\:-4$

Add 7 to both sides to get;

$x\:>\:-4+7$

$\Rightarrow x\:>\:3$

Answer: 7. $x\:>\:3$ , open dot at 3 and shaded to the right.(C)

QUESTION D

We want to solve;

$-2x \:$

Divide through by -2 and reverse the inequality sign;

$x \:>\:\frac{6}{-2}$

$x \:>\:-3$

Answer; 3. $x \:>\:-3$ Open dot at -3 and shaded to the right. (D)

QUESTION E

We have

$4\:$

Divide through by -4 and reverse the sign.

$\frac{4}{-4}\:>\:x$

$-1\:>\:x$

or

$x\:$

Answer: 6. $x\:$ open dot at -1, and shaded to the left(E)

QUESTION F

The given inequality is $-2x+3\:$

Add -3 to both sides to get;

$-2x\:$

Divide both sides of the inequality by -2 and reverse the sign;

$x\:>\:5$

Answer:9. $x\:>\:5$ , open dot at 5 and shaded to the right(F)

QUESTION G

The given inequality is

$5x+1\ge11$

$5x\ge11-1$

$5x\ge10$

Divide by 5

$x\ge2$

Answer ; 10. $x\ge2$ , closed dot at 2 and shaded to the right(G)

QUESTION H

We have $3(x+4)\:>\:8x-6$

Expand the bracket to get;

$3x+12\:>\:8x-6$

Group similar terms to get;

$3x-8x\:>\:-6-12$

Simplify

$-5x\:>\:-18$

Divide through by -5 and reverse the sign;

$x\:$

Answer: 1. $x\:$ Open dot at 18/5 and shaded to the left(H)

QUESTION I

We have $-3x+4\:$ .

$-3x+x\:$

$-2x\:$

Divide by -2 and reverse the sign;

$x\:>\:1$

Answer: 8. $x\:>\:1$ , open dot at 1 and shaded to the right(I)

J. The given inequality $-2(x-4)\:>\:5-(x+2)$

Expand the bracket to get;

$-2x+8\:>\:5-x-2$

Group like terms to get;

$-2x+x\:>\:5-2-8$

$-x\:>\:-5$

Divide by -1 and reverse the sign to get;

$x\:$

Answer; 4. $x\:$ , open dot at 5 and shaded to the left.(J)

6 0

4 years ago

Given that 6 > –2, which statements are true? Check all that apply.

USPshnik [31]

First sixth and seventh are true

3 0

3 years ago

Read 2 more answers

I hope someone can help me, I usual help people too, it’s for solving equations with systems,hers a photo

blsea [12.9K]

Step-by-step explanation:

Flour needed to make birthday cakes = 2x

Flour needed to make holiday cakes = 1y = y

Maximum amount of Flour allowed = 20 (No more than 20)

Therefore

2x + y must not be more than 20

$2x + y \leqslant 20$

4 0

3 years ago