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3 years ago

USA test prep please answer

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

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Solve for the following. Type your answer using digits. A rectangle with a length ofx−4 and a width of 8 has a perimeter of 34.

slava [35]

Answer:

length = 13

Step-by-step explanation:

length =x-4

width = 8

perimeter =2( x-4) + 2× 8 = 34

= 2x - 8 + 8 =34

= 2x =34

= x = 17

3 0

2 years ago

Read 2 more answers

Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is fourteen. Two times the first n

goldfiish [28.3K]

Answer:

First number = 33, Second number = -19

Step-by-step explanation:

We can use F to represent the first number and S to represent the second number.

Our two equations then are F + S = 14 and 2F + 3S = 9

We can use substitution:

$F+S = 14\\2F+3S=9\\F=14-S\\2(14-S)+3S=9\\28-2S+3S=9\\28+S=9\\S=-19\\\\F-19=14\\F=33$

5 0

1 year ago

Whats the area of the triangles please help

ANTONII [103]

The answer is To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. The area is 20cm². ... A triangle is always half the area of a rectangle with the same height and width.

4 0

3 years ago

Find a common factor in 15 and 35

IgorLugansk [536]

The common factors are 1 and 5. $15:\boxed {1}, 3, \boxed {5}, 15\\35:\boxed {1,5},7,35$

5 0

3 years ago

Susan has 4 times as many quarters as dimes and 16 less dimes than nickels. If she has $13.45 in coins. How many of each coin do

Maslowich

Using a system of equations, it is found that Susan had 44 quarters, 11 dimes and 27 nickels.

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

We are going to use:

x as the number of quarters.
y as the number of dimes.
z as the number of nickels.

A quarter is worth $0.25. A dime is worth $0.1, and a nickel is worth $0.05. Total of $13.45, then:

$0.25x + 0.1y + 0.05z = 13.45$

4 times as many quarters as dimes, thus:

$x = 4y \rightarrow y = 0.25x$

16 less dimes than nickels, thus:

$z = y + 16 = 0.25x + 16$

Replacing in the first equation, we find x:

$0.25x + 0.1y + 0.05z = 13.45$

$0.25x + 0.1(0.25x) + 0.05(0.25x + 16) = 13.45$

$0.2875x = 12.65$

$x = \frac{12.65}{0.2875}$

$x = 44$

Now, with x, we find y and z:

$y = 0.25x = 0.25(44) = 11$

$z = y + 16 = 11 + 16 = 27$

Susan had 44 quarters, 11 dimes and 27 nickels.

A similar problem is given at brainly.com/question/24342899

4 0

2 years ago