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Naily [24]
3 years ago
15

The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball

field. If the bases are 2 1/2 inches apart on her scale drawing, what’s Allyson’s scale?
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

\text{The scale is }\frac{1}{432}

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

             = 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432

\text{Hence, the scale is }\frac{1}{432}

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Solve for x in the literal equation -20=xy +z.​
erastovalidia [21]

Answer:

-(20+z)/y = x

Step-by-step explanation:

-20=xy +z

Subtract z from each side

-20 -z = xy+z-z

-20 -z = xy

Divide each side by y

(-20 -z)/y = xy/y

Factor out a negative

-(20+z)/y = x

5 0
3 years ago
A boy bought 9 new cards to add to his card collection of 25 cards. The next day his dog ate half of his collection. How many ca
lora16 [44]
This would equal (9+25)/2

Which could be simplified into 34/2

Which means the answer is 17
4 0
3 years ago
A gardener is planting two types of trees:
Bumek [7]

Answer:

Step-by-step explanation:

let y represent number of years...

9 ft tall = (12 * 9) = 108 inches

10 ft tall = (12 * 10) = 120 inches

Type A : 9 ft (or 108 inches) and grows 6 inches per year..

108 + 6y

Type B : 10 ft (or 120 inches) and grows 3 inches per yr

120 + 3y

how many years will it take them to be the same height...so when will they be equal....so set them equal and solve for y

108 + 6y = 120 + 3y

6y - 3y = 120 - 108

3y = 112

y = 112/3

y = 37 1/3 years....or 37 years and 4 months <====

check...

108 + 6(37 1/3) = 120 + 3(37 1/3)

108 + 6(112/3) = 120 + 3(112/3)

108 + 672/3 = 120 + 336/3

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3 0
3 years ago
Multiply.
Nady [450]

\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Explanation:</h2>

Here we have the following expression:

3\sqrt{22}\sqrt{58}\sqrt{18}

So we need to simplify that radical expression. By property of radicals we know that:

\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}

So:

3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}

The prime factorization of 22968 is:

22968=2^3\cdot 3^2\cdot11\cdot 29

Hence:

3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}

By property:

\sqrt[n]{a^n}=a

So:

3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}

Finally:

\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

3 0
3 years ago
Helpp ill give brainliest
N76 [4]

Answer:

I think its D. 70 - 79

7 0
2 years ago
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