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Natalija [7]
3 years ago
10

Please help me I want to get a good grade so my mom can appreciate me :D!

Mathematics
1 answer:
amm18123 years ago
5 0

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

Ratio = 4/7 : 8/21

Required

Determine the unit rate

To do this, we need to express the ratio as:

Ratio = m : 1

<em>Where m is the unit rate</em>

Ratio = 4/7 : 8/21

Express as fraction

Ratio = \frac{4/7 }{ 8/21}

Solve

Ratio = \frac{4}{7} * \frac{21}{8}

Ratio = 1.5

Express as ratio

Ratio = 1.5 : 1

<em>Hence, the unit rate is 1.5</em>

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3 years ago
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
s344n2d4d5 [400]

Answer:

A = 1/2 B H       area = 1/2 base X height

B = 2 A / H = 2 * 99 / 12 = 16.5 cm

dA / d t = 1/2 * (B dH / dt + H dB / dt)

dB / dt = (2 dA / dt - B dH / dt) / H

dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm

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4 0
3 years ago
Solve using elimination 5x+7y=9 <br> 2x-3y=-37
uranmaximum [27]

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

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4 0
2 years ago
Which could be the measures of the three angles of an acute triangle.
slavikrds [6]
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5 0
3 years ago
Read 2 more answers
cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.​
Brilliant_brown [7]

Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

xy=\frac{768}{24}\\xy=32\\

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can  not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

3 0
3 years ago
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