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AnnZ [28]
3 years ago
11

Solve for x. 8(x + 1) - 31x + 4) = 7(2 - x)

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

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one number is equal to two times a second number. two times the first number plus two times the second number is 24. if you let
ziro4ka [17]
X = 2y
2x + 2y = 24
So if x = 2y that means 2x = 4y. Which means that 2x + 2y = 24 can be written as 4y + 2y = 24. Simplified to 6y = 24. Now we need to get 1y so we divide both sides by 6, 6y/6 = y and 24/6 = 4. so y = 4. so x= 2y can be written as x = 8.
5 0
4 years ago
The ratio of adult dogs to puppies on monday was 3:2. There were 12 puppies there that day. Tuesday, 15 adult dogs were at the p
Svetlanka [38]

Answer:

3

Step-by-step explanation:

The ratio of adult dog to puppies is 3:2

There were 12 puppies that day

Number of adult puppies can be calculated as follows

= 3/2× 12

= 3 ×6

= 18

There were 15 adult dogs in the park on Tuesday

Hence the difference can be calculated as follows

= 18-15

= 3

6 0
3 years ago
On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee.
ziro4ka [17]
140 (number of customers) * .65 (% of customers who ordered a large coffee) = 91 customers who ordered a large coffee
4 0
3 years ago
Read 2 more answers
Can someone explain to me how to do this question? It needs to be simplified and no decimals or fractions.
Masteriza [31]

\sqrt{180}  -  \sqrt{45 }  \\  =  \sqrt{2 \times 2 \times 3 \times 3 \times 5}  -  \sqrt{3 \times 3 \times 5 }  \\

Taking common

\sqrt{3 \times 3  \times 5} ( \sqrt{4}  - 1) \\  = 3 \sqrt{5} (2 - 1) \\  = 3 \sqrt{5}

Hope it helps mate

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5 0
4 years ago
At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring
andre [41]

Answer:

The number of onion rings is <u>3</u> in the combination meal and the number of sliders is <u>2</u> in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be x.

And let the number of sliders in the combination meal be y.

<u><em>So, the total number of onion rings and sliders are:</em></u>

x+y=5\\\\y=5-x\ \ \ .....(1)

Now, the total number of calories each onion rings and sliders has:

x(65)+y(250)=695

Substituting the value of y from equation (1) we get:

<em />x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695<em />

<em>Subtracting both sides by 1250 we get:</em>

<em />-185x=-555<em />

<em>Dividing both sides by -185 we get:</em>

x=3.

<u><em>The number of onion rings in the combination meal = 3.</em></u>

Now, substituting the value of x in equation (1) we get:

y=5-x\\\\y=5-3\\\\y=2.

<u><em>The number of sliders in the combination meal = 2.</em></u>

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

8 0
3 years ago
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