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Alinara [238K]
3 years ago
9

Two numbers differ by 5. Seven times the smaller plus four times the larger is 108. Find the number

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

<h3>8 and 13</h3>

Step-by-step explanation:

Let the two numbers be x and y

If the two numbers differs by 5, then;

y-x = 5 ...1

x is the smaller

y is the larger

If seven times the smaller plus four times the larger is 108, this is expressed as;

7x + 4y = 108 ... 2

From 1;

y = 5 + x .... 3

Substitute 3 into 2;

From 2;

7x + 4y = 108

7x + 4(5+x) = 108

7x + 20 + 4x = 108

11x + 20 = 108

11x = 108-20

11x = 88

x = 88/11

x = 8

Since y = 5+x

y = 5 + 8

y = 13

hence the numbers are 8 and 13

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Kaylis [27]

Answer:

2/7

Step-by-step explanation:

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2 years ago
The simple interest on an investment of $8000 for one year is $360.
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Danny made a mistake in the following problem.
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Evaluate 2x for each value of x. Write your answers in simplest form. Show your work!
Liono4ka [1.6K]

1. 1/2

2.2/3

3. 1

4. 1/3

5. 2/7

6. 1/4

7. 4/3

8. 3/2

<h3>How to evaluate the value</h3>

To find 2x of the vale of x, we have to multiply the value of 'x' by 2

1. x = 1/4

2x = 2 * \frac{1}{4} ⇒ \frac{2}{4} ⇒\frac{1}{2}

2. x = 1/3

2x = 2 * \frac{1}{3} ⇒\frac{2}{3}

3. x = 1/2

2x = 2* \frac{1}{2} ⇒ \frac{2}{2} ⇒ 1

4. x= 1/6

2x = 2* \frac{1}{6} ⇒ \frac{2}{6} ⇒ \frac{1}{3}

5. x = 1/ 7

2x = 2 * \frac{1}{7} ⇒ \frac{2}{7}

6. x = 1/8

2x = 2 * \frac{1}{8} ⇒ \frac{2}{8} ⇒ \frac{1}{4}

7. x = 2/3

2x = 2 * \frac{2}{3} ⇒ \frac{4}{3}

8. x = 3/4

2x = 2 * \frac{3}{4} ⇒ \frac{6}{4} ⇒ \frac{3}{2}

Learn more about algebraic expressions here:

brainly.com/question/723406

#SPJ1

6 0
2 years ago
1200 TV; 10% discount
NARA [144]

if it's a 10% discount that means that it is 90% of the original price. I prefer to solve these types of questions by finding 1%, then multiplying it by 90.

1200 / 100 = 1% of original price = 12$

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6 0
3 years ago
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