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GaryK [48]
3 years ago
14

The perimeter of a rectangular garden is 37.5 feet. The width is x, and the length is 15 ft. Use the equation 2(x + 15) = 37.5 t

o determine the width, in feet, of the garden?
Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

first what u do is u just make 2(x+15)=37.5 into 2x+15=37.5

and then u do 2x=37.5-15

that will give u 2x=22.5

then u do this x=22.5/2

and x = to 11.25

charle [14.2K]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:

37.5/15=2.5

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Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make
Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of  red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>

And number of packets of red rose have to purchase = 3 \times <em><u>5</u></em> = 15, 5 packages.

And number of packets of white rose have to purchase = 5 \times <em><u>3</u></em> = 15 , 3 packages.

4 0
3 years ago
Read 2 more answers
Solve the equation x2-16x+54=0
kari74 [83]

Answer:

x1 = 8+√10, x2 = 8 -√10

Step-by-step explanation:

x² - 16x + 54 = 0

x = \frac{-b +/-\sqrt{b^{2} -4ac} }{2a} \\x = \frac{-(-16)+/-\sqrt{(-16)^{2} -4*1*54} }{2*1} \\\\\\x = \frac{16+/-\sqrt{(40)} }{2*1} = 8+/-\sqrt{10} \\\\x_{1} = 8+\sqrt{10}\\\\x_{2} =8-\sqrt{10}

7 0
3 years ago
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True or false 33 over 3 equals 11.3? ​
Leno4ka [110]

Answer:

fals it would be 11

Step-by-step explanation:

11 x 3 = 33

3 x 11 = 33

33 divide 11 = 3

33 divide 3 = 11

7 0
3 years ago
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What is the value x in 8+6y=9
Rashid [163]

Answer:

Do you mean y? if you did it should be 1/6 or 1.666666 repeating.

Step-by-step explanation:

I needed the 6y to = 1 so I did the inverse of it by and got 1 so y should = 1/6


3 0
3 years ago
A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
hodyreva [135]

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂  = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

4 0
3 years ago
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