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omeli [17]
3 years ago
8

I put a picture of the question but I am confused on how to find the value of x.If you could provide a explanation that would be

amazing! :D

Mathematics
2 answers:
m_a_m_a [10]3 years ago
6 0

Answer:

Hope this helps :)

Step-by-step explanation:

Supplementary angles are angles whose measures sum to 180°.

equation for supplementary angle~ a+b=180

Example:

2x+(2x–2)=180

4x–2=180

4x=182

x=45.5

Romashka [77]3 years ago
5 0

Answer:

x = 100.5

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°. THIS MEANS WE'RE ADDING.

We can use distributive property to solve this equation.

x + (x-21) = 180°.

x + x - 21 = 180°.

Now, we can combine like terms.

2x - 21 = 180.

Since there is a subtraction sign in front of the number 21, we do the opposite operation (addition).

Next, we add 21 to 180.

180 + 21 = 201.

2x = 201

Lastly, we divide 201 by 2.

The quotient is 100.5.

100.5 is the final answer.

Therefore, 100.5 is the value of x.

We can check our answer to make sure.

(100.5 - 21) + 100.5 =

79.5 + 100.5 = 180°.

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Naomi deposited money into a savings account that is compounded quarterly at an interest rate of 6%. She thinks this quarterly r
Amiraneli [1.4K]

Answer:Yes, Naomi is incorrect.

Explanation: For explain this we can consider an example - Let us suppose Naomi deposited 100 rupees in her saving account at the rate 6% for 1 year .

Now, if the interest is quarterly then according to the formula

compound interest =P(1+\frac{r/4}{100} )^{4n} -P where r is the rate annually and n is the number of years.

so CI=100(1+\frac{6}{100})^4 -100 ( here the rate is already given in quarterly)

CI= 100(1.06)^4-100= 1.26247696-100=26.247696 rupees=26(approx)

Now, if the compound interest is 1.25 per month then again from the formula-

CI=P(1+\frac{r/12}{100})^{12n}-P

CI= 100(1+\frac{1.25}{100})^{12}-100= 100(1.16075452)-100=16.075452=16(approx)


5 0
3 years ago
More help lol gvbrhf
stepan [7]

Answer:

9 at minimum

Step-by-step explanation:

a minimum of 9 because it takes a total of 8 rides to take back a full 18 cars back and the 9th ride takes back the remainder which is 0.27777777778 times 18 cars

6 0
3 years ago
5 apples cost $7.50. Find the cost of 6 apples. please explain
butalik [34]

Answer:

$9

Step-by-step explanation:

7.50/5= $1.5 an apple

6* 1.5 = $9 for 6 apples

4 0
3 years ago
Read 2 more answers
Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
Abby has a jewelry business. She uses small square boxes to ship her homemade rings to stores to sell. The ring box measures 12
aleksandr82 [10.1K]

Answer:

Volume of Shipping box= lenghth × breadth × height

Volume of ring box= side × side × side

Step-by-step explanation:

Volume of ring box = 12×12×12

=1728 units

Volume of shipping box= 1012×8×3

=24288 units

number of ring boxes in shipping box= 24288/1728

= 14.

Hope am correct

Thanks

3 0
3 years ago
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