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2 years ago

7. The Quotient

Mathematics

1 answer:

nasty-shy [4]2 years ago

3 0

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

$\frac{x}{5}$

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

$\frac{x}{5} = x - 400$

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

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Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will

Natali5045456 [20]

Answer: The winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

Step-by-step explanation:

Let's check all the options

$4(x-5)=35$ is not equivalent to $4x=40$

$\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55$

$8(x-7)=35$ is not equivalent to $8x=28$

$\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91$

$2(x-6)=-35$ is equivalent to $2x=-23$

$\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23$

$9(x-6)=-35$ is not equivalent to $9x=-29$

$\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5$

Thus, the winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

4 0

2 years ago

Read 2 more answers

Can someone please help me with this ASAP!! (will mark as brainliest if correct)

sattari [20]

Answer:

P = 6x-2

x = 14

Step-by-step explanation:

To find the perimeter, we add the sides

P = 4x-8 + 3-2x + 5x+3

Combine like terms

P = 4x-3x+5x -8+3+3

= 6x -2

Now we know the perimeter

82 = 6x-2

Add 2 to each side

82+2 = 6x-2+2

84 = 6x

Divide each side by 6

84/6 = 6x/6

14=x

6 0

3 years ago

Read 2 more answers

Can you do this question

Sauron [17]

Since it decreases 2.75 then it will give you the answer of 20.75

4 0

2 years ago

What is the mean and MAD of this data set?

just olya [345]

What data set???????

3 0

3 years ago

I need answers for 4 and 6

mafiozo [28]

Hello! I can help you with this!

4.
a. $100
b. $360

The formula to find the answers to these kinds of problems is p * r * t. The rate is always a decimal, so if the rate is 8%, you multiply by 0.08. If the rate is 12%, you multiply by 0.12, and so on.

5.
a. 12.8
b. 31 1/6

I got these answers by doing the distributive property. Replace each variable with the number it represents, multiply each by two and add them up to get these answers. For the fraction one, you can set up each fraction by finding the LCD before multiplying by 2, or you can find a fraction calculator online and add the numbers up.

6.
a. x = 20
b. x = 3
c. x = 13
d. x = 0
e. x = 4
f. x = 7
g. x = -3

I solved this problem by doing the distributive property and doing these kinds of problems step by step. It’s long to explain, but hopefully your teacher has good notes for you to look back on over these types of questions. If there is only a negative sign in front of the distributive property equation, then you basically distribute -1 to each number. In these long equations, combine like terms. You must do these kinds of questions right, because it’s easy to mess up and get wrong answers if you don’t do the right steps in order.

6 0

2 years ago