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3 years ago

Solve for x : 8x = 96

Mathematics

1 answer:

ddd [48]3 years ago

6 0

Answer:

x=12

Step-by-step explanation:

8x=96

8x/8=96/8

x=12

Hope this helps!

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Bailey wants to buy a house, paying approximately $1000 per month. The bank estimates a 4.5% annual interest rate for 15 years.

iren2701 [21]

Answer:

I=Principle × Rate × Time so 1000×4.5/100 × 15yrs

3 0

3 years ago

What is the slope and y-intercept -4x+2y=-2

natka813 [3]

Answer:

Slope: 2

Y-intercept: (0, -1) or - 1

Step-by-step explanation:

Given the linear equation, -4x + 2y = -2:

Transform the given equation into its slope-intercept form, y = mx + b:

-4x + 2y = -2

Add 4x to both sides:

-4x + 4x + 2y = 4x - 2

2y = 4x - 2

Divide both sides by 2 to isolate y:

$\frac{2y}{2} = \frac{4x - 2}{2}$

y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).

8 0

2 years ago

A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the veget

hjlf

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4

5 0

3 years ago

1 3. A tennis court for singles pay is 78 feet and 27 feet wide The court for doubles pay has the same length but is 9 feet Wide

galina1969 [7]

Lets calculate areas:
single area = (78)(27) = 2106 ft^2
doubles area = (78)(27 + 9) = (78)(36) = 2808 ft^2
junior area = (36)(18) = 648 ft^2
10&under area = (78 - 18)(27) = (60)(27) = 1620 ft^2

The doubles area is bigger than the singles by 2808 - 2106 = 702 ft^2

The singles area is bigger than the juniors by 2106 - 648 = 1458 ft^2

The singles area is bigger than the 10&under by 2106 - 1620 = 486 ft^2

8 0

3 years ago

Does 2 1/3-1 3/4 need require renaming

ANEK [815]

Answer:

$\frac{7}{12}$

Step-by-step explanation:

$2 \frac{1}{3} - 1 \frac{3}{4}$

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

$\frac{7}{3} - \frac{7}{4}$

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

$\frac{7}{3} - \frac{7}{4}$

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

$= \frac{28 - 21}{12}$

$= \frac{7}{12}$

6 0

3 years ago