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Anvisha [2.4K]
3 years ago
9

Solve the proportion: 5/x+7=3/x+3

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

cross multiply

5(x+3)=3(x+7)

5x+15=3x+21

5x+15-3x=3x+21-3x

2x+15=21

2x+15-15=21-15

2x=6

x=3

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Mr. Hughes gave 5/14
kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}

Fraction his wife got:

1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}

If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

\frac{9x}{42} = 900

9x = 900*42

x = \frac{900*42}{9}

x = 100*42

x = 4200

His savings were of $4,200.

5 0
2 years ago
Find the length and width of a rectangle whose perimeter is
Hoochie [10]

Answer:

11 and 7

Step-by-step explanation:

Perimeter is all of the sides added together

11+11+7+7=36

Area of a rectangle is length x width

7*11=77

The answers are 7 and 11 for the length and width

Whether which one is the width and which is the length depends on which side is the longest.

7 0
3 years ago
If Anthony wants to end his day at Navy Pier (10,9) will it be more efficient to go to the Chicago theater (0,3) and then Millen
HACTEHA [7]
Distance formula
D = √((x1 - x2)2 + (y1 - y2)2) We have three distances that we are dealing with. Between the Theater and the Park, between the Theater and the Pier, and between the Park and the pier. In both routes we have to go between the Theater and the Park. The distance between those is the same regardless of which way we go, so we can ignore doing the math for that. That leaves us two distances. Let's plug them in. Theater to PierD = √((0 - 10)2 + (3 - 9)2) = √(100 + 36) ≈ 11.6619 Park to PierD = √((2 - 10)2 + (1 - 9)2) = √(64 + 64) ≈ 11.3137 11.3 < 11.7 
7 0
3 years ago
You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve
KonstantinChe [14]
(x cookies) / (23 students - (12/2) students) = 2 cookies per student
[x / (23 - 6)] cookies per student = 2 cookies per student
23 students * (2 cookies per students) - 12 cookies = x cookies
The "students" unit cancels
46 cookies - 12 cookies = x cookies
x cookies = 34 cookies
3 0
3 years ago
Round $38.09 to the nearest dollar<br> $38<br> $40<br> $30<br> $39
Veronika [31]

Answer:

$38

Step-by-step explanation:

Since the last two numbers aren't over 50, we would round down. This leaves you with $38.

7 0
3 years ago
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