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3 years ago

You use 4 gallons of water on 30 plants in your garden at that rate how much water will it take to water 45 plants

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer 6 gallons

Step-by-step explanation:

Use proportion to solve problem:

4:30=x:45

45*4=30x

x=45*4/30

x=6

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What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

Assoli18 [71]

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

4 0

3 years ago

If XY=18, YZ=14, and XZ=20, find the radius of each circle.

Pachacha [2.7K]

Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.

8 0

3 years ago

What is the volume of the following rectangular prism 3 2/3 units 9 units

Serga [27]

Answer:

the volume of the rectangular prism is 18 units.

7 0

3 years ago

D. Question 2 - 3x + 7 (-6 - 50) c=7 x = -9

Reil [10]

Answer:

-365

Step-by-step explanation:

-3x+7(-6-50)

-3(-9)+7(-6-50)
27+7(-6-50)
27-42-350
-15-350
=-365

5 0

3 years ago

On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre

likoan [24]

Answer:

$56$ choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy does not matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

$_nC_r=\frac{n!}{r!(n-r)!}$ , where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.