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77julia77 [94]
3 years ago
10

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

1 inch to 100 feet

12 inches = 1200 feet.

Just multiply both sides by 12.

The answer is 1200 feet.

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The sum of two consecutive integers is 65. what are the two integers? show steps please.
Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0
2 years ago
609.9 is 85% of what number
castortr0y [4]
Hi

609.9 ⇒ 85%
x ⇒ 100%

85x = 100·(609.9)
85x = 60,990
x = (60,990)/85
x = 717.5294117... ≈ 717.53

85% of 717.53 ⇒ 0.85 × 717.53 = 609.9005 ≈ 609.9

Answer: 717.53
7 0
3 years ago
Read 2 more answers
Help! <br> Which expression is equivalent? <br> On edge
Ira Lisetskai [31]

Answer: Choice B

x^{1/8}y^{8}

======================================================

Explanation:

The two rules we use are

(a*b)^c = a^c*b^c

(a^b)^c = a^{b*c}

When applying the first rule to the expression your teacher gave you, we can say that:

\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}

Then applying the second rule lets us say

\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}

Therefore,

\left(x^{1/4}y^{16}\right)^{1/2}  = x^{1/8}y^{8}

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

7 0
3 years ago
A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se
kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

y + 3 y + \frac{y}{4} = 51

\frac{17}{4} y = 51

y = 12

x = 3 × 12 = 36

z = \frac{y}{4} = \frac{12}{4} = 3

Therefore the length of the longest section x = 36 ft

8 0
3 years ago
Read 2 more answers
What wrong with this 21.8x0.4=87.2
Brrunno [24]
I think the wrong is the answer , I hope that help , good luck
4 0
3 years ago
Read 2 more answers
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