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3 years ago

Write your answer as a decimal or whole number. ___% of $75=$42

Mathematics

1 answer:

Basile [38]3 years ago

3 0

Answer:

x=56

Step-by-step explanation:

$\frac{x}{100}$ · $\frac{42}{75}$

then cross multiply

4200=75x

x=56

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What is the solution of the system of equations y=x-5 , y=6

olchik [2.2K]

Y=x-5
6=x-5
6+5=x-5+5
11=x
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3 years ago

Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth

Slav-nsk [51]

Answer:

Solution given:

7x-29=2x+16[length from the circumference of circle is equal to same point]

7x-2x=16+29

5x=45

x=45/5=9

now.

XY=2×9+16=18+16=34 is your answer

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blagie [28]

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3 years ago

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Mark earned 108 points for his extra credit project.

Juli2301 [7.4K]

Answer:

120 points

Step-by-step explanation:

Let the total points be x

<u>Mark earned 90% of x which is 108 points:</u>

0.9x = 108
x = 108/0.9
x = 120

Total points were 120

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3 years ago

Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed i

SIZIF [17.4K]

The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

$(44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2 + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\ equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29$

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: brainly.com/question/15808950

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3 years ago