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2 years ago

Seven less than the product of 8 and a number equals 4

Mathematics

1 answer:

Vlad1618 [11]2 years ago

3 0

Answer:

11/8 or 1 3/8 or 1.375

Step-by-step explanation:

From the information given by the question, we can form an equation:

Let us call the number 'n'

8 × n - 7 = 4

We then move the 7 to the other side, changing it from minus to plus:

8 × n = 4 + 7

So,

8 × n = 11

We divide both sides by 8, to leave n on one side of the equation.

n = 11/8

Therefore, n = 11/8 or 1 3/8 or 1.375

You might be interested in

What is 5 6/7 - 1 1/2

77julia77 [94]

5 6/7 - 1 1/2 = 4 5/14

6 0

3 years ago

Read 2 more answers

The diagram shows a cylinder of height 6 cm and radius 6 cm. What is its volume? Use 3.14 as an approximation for T.

Alika [10]

Answer:

im new how does this work??

Step-by-step explanation:

3 0

2 years ago

Try Again

alina1380 [7]

Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

7 0

3 years ago

The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3)

steposvetlana [31]

Answer:

Y =-4X +12

Y =-0.625X -0.75

Step-by-step explanation:

(3,0) and (2,4)....

x1 y1 x2 y2

3 0 2 4

(Y2-Y1) (4)-(0)= 4 ΔY 4

(X2-X1) (2)-(3)= -1 ΔX -1

slope= -4

B= 12

Y =-4X +12

~~~~~~~~~~~~~~~~~

(-6,3) and (2,-2)

x1 y1 x2 y2

-6 3 2 -2

(Y2-Y1) (-2)-(3)= -5 ΔY -5

(X2-X1) (2)-(-6)= 8 ΔX 8

slope= - 5/8

B= - 3/4

Y =-0.625X -0.75

6 0

3 years ago