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1 year ago

Need help asap! Fill in the blank by entering just a number…

Mathematics

1 answer:

daser333 [38]1 year ago

6 0

Answer:

x = 6

Step-by-step explanation:

CT is a median, which means it divided AB into two equal parts so we can write the following equation:

7x + 9 = 5x + 21 transfer like terms to the same side of the equation

7x - 5x = 21 - 9 do the extraction

2x = 12 divide both sides by 2

You might be interested in

6(y+1.5)=18<br> what does y equals?

leva [86]

Answer:

Step-by-step explanation:

6y+9=18

6y=2

y=1/3

3 0

2 years ago

Read 2 more answers

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of

____ [38]

Answer:

angle at A: 51°
base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles at B and C are the complement of half this value, or ...

90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

∠A = 51°

∠B = ∠C = 64.5°

6 0

2 years ago

The original price of a pair of shoes at Nike Outlet is 109.99 and there is a mark down of 25% because the shop is having a blac

marissa [1.9K]

Answer:

27.50

Step-by-step explanation:

109.99=100%

10.999=10%

21.998=20%

27.4975=25%

so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49

3 0

2 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

Sam's total expenses last month were $1840. What was his total variable cost for last

likoan [24]

Answer:

$1500

Step-by-step explanation:

It is given that

Rent = $100

Groceries and drinks = $1000

Insurance premiums = $10

Loan interest payment =$30

Clothes = $200

Utilities = $300

Home security fee = $200

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

$\text{Total variable cost}=\$1000+\$200+\$300=\$1500$

Therefore, total variable cost for last month is $1500.

5 0

2 years ago