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likoan [24]
3 years ago
5

Find the area of the rectangle as a single expression.

Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

D) 15x^2 +6x-48

Step-by-step explanation:

Area \:  of  \: rectangle  \\  = length \times width \\  = 3(x + 2) \times (5x - 8) \\  = (3x + 6) \times (5x - 8) \\  = 3x(5x - 8) + 6(5x - 8) \\  = 15 {x}^{2}  - 24x + 30x - 48 \\  = 15 {x}^{2}  + 6x - 48

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I only need to know question b, if anyone can help
kicyunya [14]

243 liters represents 7/10 - 1/4 of the water.

v=243 / (7/10 - 1/4) = 243 / (14/20-5/20) = 243(20)/9 = 540 liters.

Answer: 540 liters

Check:

(7/10)(540) = 7(54) = 378

(1/4)540 = 135

difference = 378 - 135 = 243  good

5 0
3 years ago
Determine the unknown side of the similar triangle.<br> A) 2 <br> B) 3 <br> C) 4 <br> D) 5
IceJOKER [234]

4 is correct. Set up a ratio relationship between similar triangles. \frac{x}{6} = \frac{8}{12}  ; x = \frac{48}{12} ; x = 4

5 0
3 years ago
a 4-meter ladder leans up a wall the foot of the ladder is 2 meters away from the wall how far up the wall will the ladder reach
svlad2 [7]
The answer is 3.46 meters

You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.

c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters
7 0
2 years ago
Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.
NARA [144]

Answer:

a). Scale: 1 inch:0.4 feet

b). actual measurement=24 feet

Step-by-step explanation:

a).

Step 1

We know that;

1 foot=12 inch

Step 2

Convert 36 feet to inches as follows

If 1 foot=12 inches, then 36 feet converted to inches will be;

(36×12)=432 inches

actual measurement=432 inches

Step 3

We can express the relation ship between the drawing measurement and the actual measurement as follows;

Actual measurement=scale factor×drawing measurement

where;

actual measurement=432 inches

drawing measurement=90 inches

scale factor=s

replacing;

432=s×90

90 s=432

s=432/90

s=4.8

Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;

1 inch drawing represents 4.8 inches on the actual deck, or similarly;

1 inch drawing represents (4.8/12), 0.4 feet on the actual deck

Scale: 1 inch:0.4 feet

b). Convert 5 inches drawing to actual measurement

Actual measurement(feet)=drawing measurement×scale factor

where;

drawing measurement=5 inches

scale factor=4.8

replacing;

actual measurement=(5×4.8)=24 feet

7 0
3 years ago
Lily bought 6 skirts and 5 coats for a total of $452.62. If Lily's
PSYCHO15rus [73]

Let x = cost of one skirt

Let y = cost of one coat.

We need to construct a system of equations to help us solve this problem.

Lily: $452.62 = 6x + 5y

Sis: $289.36 = 3x + 5y.

Let's solve this by elimination. Multiply the second equation by -1

Lily: $452.62 = 6x + 5y

Sis: -$289.36 = -3x + -5y. Add the equations together.

$163.26 = 3x. Divide each side by 3.

$54.42 = x. Plug this into one of our original equations.

$452.62 = 6(54.42) + 5y. Multiply 6 by 54.42

$452.62 = 326.52 + 5y. Subtract 326.52 from each side.

$126.1 = 5y. Divide each side by 5

$25.22 = y.

One coat costs $25.22

5 0
3 years ago
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