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emmainna [20.7K]
3 years ago
7

When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 les

s than x. What is the value of x?
Equation:

Value of X:
Mathematics
1 answer:
ollegr [7]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Number = 2x

Therefore, 2x + 8 = 8(x - 5)

2x + 8 = 8x - 40

6x = 48

<u>x</u><u> </u><u>=</u><u> </u><u>8</u>

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The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
3 years ago
Which of these is equivalent to 33+77
DENIUS [597]

I thinks it C, this a difficult question but idk, that my closest guess...

4 0
3 years ago
Read 2 more answers
Volume = 154 cm cubic
zheka24 [161]

Cylinder Volume

  • Level : JHS

V = hπr²

154 cm³ = 16 cm × 3.14 × r²

154 cm³ = 50.28 cm × r²

r² = 154 cm³ : 50.28 cm

r² = 3.0625 cm²

r = 1.75 cm

d = 2r

d = 2 × 1.75 cm

d = 3.5 cm

So, the diameter of the Cylinder is 3.5 cm

#LearnWithEXO

8 0
3 years ago
Simplfy <br> -3+(-10) <br> please explain how to do it too because i am lost in algebra.
Margaret [11]
Answer:
-13

you're basically adding -3 and -10 because they're both negatives
4 0
2 years ago
alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th
dimaraw [331]

The distance in kilometers in scientific notation 2.03 \times 10^3 km

<h3>Scale factors</h3>

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of 2.9 \times 10^2 kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

  • Distance travelled = 7(2.9 \times 10^2)
  • Distance travelled = 2.03 \times 10^3 km

Hence the distance in kilometers in scientific notation 2.03 \times 10^3 km

Learn more on distance here: brainly.com/question/23848540

8 0
3 years ago
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