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Shtirlitz [24]
3 years ago
10

What is the value of x? enter your answer in the box x= ​

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

x = 20

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

11 : 121 = 10 : 5x + 10

Convert to fraction

\frac{11}{121} = \frac{10}{5x + 10}

Factorize:

\frac{11}{121} = \frac{5*2}{5(x + 2)}

Simplify

\frac{1}{11} = \frac{2}{x + 2}

Cross Multiply

1 * (x + 2) = 2 * 11

x + 2 = 22

Collect Like Terms

x = 22-2

x = 20

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A square has side length of 5 cm. The square was changed using a scale factor of 0.6.
Aliun [14]
So the side length became 0.6*5  = 3 cm.
8 0
3 years ago
Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte
Elza [17]

Answer:

  1. $8000 at 1%
  2. $2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

__

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

  0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

  0.09x +100 = 280

  0.09x = 180 . . . . . . . subtract 100

  x = 2000 . . . . . . divide by 0.09

  10000 -x = 8000 . . . . amount invested at 1%

<h3>1.</h3>

$8000 should be invested in the 1% account

<h3>2.</h3>

$2000 should be invested in the 10% account

5 0
2 years ago
Jason sells tires and makes 15% commission. If he sold a total of $850 last week, how much commission will he earn?
Anastaziya [24]

Answer:

$127.5

Step-by-step explanation:

15% of $850 is 850 times .15 (% is decimal multiplied by 100)

850 * .15 = $127.50

6 0
3 years ago
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
guajiro [1.7K]

Answer: $47.06 if you do not round or $47.07 if you are required to round up.


Step-by-step explanation:

$43.99× .07 = 3.0793

$43.99+ $3.07 = $47.06

(If you round up then follow below)


$43.99× .07= 3.0793 (the 9 would cause you to round the 7 up to 8)

$43.99+ $3.08= $47.07


4 0
3 years ago
A bank loaned out $28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual
Flauer [41]

Answer:

$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.

Step-by-step explanation:

Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

28,500 x 0.14 + 0 x 0.04 = 3,990

20,000 x 0.14 + 8,500 x 0.04 = 3,140

15,000 x 0.14 + 13,500 x 0.04 = 2,640

Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.

5 0
2 years ago
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