The owner of a discount clothing store ordered six belts and eight hats for $140. Aweek later, at the same prices, he bought nine belts and six hats for $132. Find the
price of a belt and a hat.

Answers

Answer 1
Answer: Let b = the price of the belt
h = the price of the hat
Equation 1
6b + 8h = 140
Equation 2
9b + 6h = 132
Multiply equation 1 by 1.5
1.5(6b + 8h = 140)
9b +12h = 210
Subtract by equation 2
9b-9b +12h-6h = 210-132
6h = 78
h = 13
Substitute h = 13 in equation 1
6b + 8*13 = 140
6b = 140 - 104
6b = 36
b = 6
The price of the hat is $13.00 each
The price of the belt is $6.00 each

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Sale prices: find the original price

Answers

Answer:

z/35 + 5z^2 = 5/35 + 5(5^2) = 1/7 + 5(25) = 1/7 + 125 = 126/7 ≈ 18.00,

3/4+ 3/7+ 4/9 FRACION HETEROGENEA

Answers

Answer:

409/252

Step-by-step explanation:

3/4+3/7+ 4/9= 63x3+36x3+28(2^2)/ 2^2x7x3^2

if I am wrong I am sorry

Subtract exponents 9x10 3 -1x10 4

Answers

The answer to question is 9*10(-1) which is your exponent. The reason why it's a negative exponent is because when you subtract 3 and 4 you your answer would be negavite.Hope this helps:)

Simplify -78 ÷ (-9)(Write answer as a mixed number: whole and fraction remaining.)

Answers

Answer:

8 2/3

Y-E-E-T

Step-by-step explanation:

-78 divded by (-9)

-78

-----

-9

there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.

78/9

divide 3 on both sides

78/3 =26

9/3=3

26/3 now.

so the mixed number would be 8 2/3

8 and 2/3
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Circle Q has the central angle ∠AQB with a measure of 55°. Which of the following option is not true? AB is a minor arc
the measure of AB=110 degrees
The center of the circle point is Q
The measure of AB=55 degrees

Answers

Answer with explanation:

It is given about a Circle centered at Q, having measure of Central Angle AQB  =55°

(A). Which says that AB is minor arc.Because of measure of central angle is , 0°<Central Angle <180°.

(B). The Measure of arc AB ≠110°, Since ,∠AQB=55°, Nor Reflex (∠AQB)≠110°.

(C). Yes, it is true statement , that center of this circle is at point Q.

(D). The Measure of minor arc,AB making angle with the Point Q is equal to =55° is certainly true Statement.

Among , the four statement , Second assertion is false which states that,the measure of AB=110 degrees .

The measure of AB is 110 degrees

Walters savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?

Answers

The answer is $350

The formula is as follows: P(1+r/n) ^(nt)

P: Principal Amount : $273
r: Rate of interest: 5%
n: number of times the interest is compounded: 4 (Since Quarterly)
t:  number of years : 5