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DaniilM [7]
3 years ago
10

Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5? a Combine like terms, 3 and 5,

on the right side of the equation. b Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation. c Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side. d Distribute 2 to (x + 6) and 3 to (x - 4)
Mathematics
2 answers:
Tems11 [23]3 years ago
7 0

Answer:

Distribute 2 to (x + 6) and 3 to (x - 4)

Step-by-step explanation:

2(x + 6) = 3(x - 4) + 5

First we need to distribute the 2 and the 3 to the terms inside the parentheses

Then we combine like terms

Then get the variables on one side and the constants on the other

Aleks04 [339]3 years ago
5 0

Answer:

d Distribute 2 to (x + 6) and 3 to (x - 4)

Step-by-step explanation:

2(x + 6) = 3(x - 4) + 5

First open the brackets using distributive property

2x + 12 = 2x - 12 + 5

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Answer: 504

Step-by-step explanation:

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A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3
Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

7 0
3 years ago
What is 12.95p=44 simplified to its lowest value
goblinko [34]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • What is 12.95p=44 simplified to its lowest value?

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\sf \: 12.95p = 44

Divide both sides by 12.95.

\sf \: p=\frac{44}{12.95}  \\

Expand 44/12.95 by multiplying both the numerator and denominator by 100.

\sf \: p=\frac{4400}{1295}  \\

Reduce the fraction 4400/1295 to its lowest terms by extracting and cancelling out 5.

\boxed{ \boxed{  \bf p = \frac{880}{259} = 3\frac{103}{259} \approx 3.39}}

8 0
3 years ago
If 4 coins are tossed simultaneously what is the probability of getting exactly 3 heads
Alexus [3.1K]
No of outcomes =16
favourable outcome=4
<span>probability of getting exactly 3 heads=0.25</span>
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3 years ago
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the pri
iogann1982 [59]

Answer:

2(L+W)H

Step-by-step explanation:

  • <em>The lateral surface area of a prism is the total of the area of the faces.</em>
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Surface area= 2(L+W)H

5 0
4 years ago
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