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2 years ago

The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?

Mathematics

1 answer:

Pepsi [2]2 years ago

5 0

Answer:

x=7

Step-by-step explanation:

9x+20x+16+12x+10+7x-2=360

48x+24=360

48x=360-24

48 x=336

x=336/48=7

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Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for t

igor_vitrenko [27]

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

$\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}$

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

$x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84$

The value to be paid is the product value plus the tax, therefore:

$\text{paid} = 14 + 0.84 = 14.84$

Avery needs to pay $14.84

6 0

2 years ago

The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a

Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

$\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }\frac{16}{100}\text{ }\times\text{ m} \\ 48\text{ = }\frac{16m}{100} \\ \text{Cross multiply} \\ 16m\text{ = 48 }\times\text{ 100} \\ 16m\text{ = 4800} \\ \text{m = }\frac{4800}{16} \\ \text{m = 300} \end{gathered}$

Hence, there are 300 students.

$\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{ }\times\text{ 300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72 students} \end{gathered}$

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0

1 year ago

Which angle is congruent to angle ACB

ANEK [815]

Answer:

there is no pictures sorry

3 0

2 years ago

the first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the

Shtirlitz [24]

Start by representing the lengths of the three sides of your triangle:

first side: x-4 (inches)
second side: x (inches)
third side: (x-4) + 3 (inches)

Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):

x-4 + x + x-4 -3 = 15

3x-11=15
3x=26
x=26/3

Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).

3 0

3 years ago

Read 2 more answers

there are 8 quarts in a peck and 4 pecks in one bushel.What is the first thing you need to do if you are asked to find how many

emmasim [6.3K]

Answer: 96

Step-by-step explanation:

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3 years ago