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Flauer [41]
3 years ago
9

The sum of three numbers is 129. The third number is 4 times the first. The first number is 9 less than the second. What are the

numbers?
Mathematics
1 answer:
Rasek [7]3 years ago
8 0
X=23, Y=14, & Z=92 is your answer
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Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’
lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

x-0.1x+2.70=56.70

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the <em>original price of the jeans</em>.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans <em>after</em> the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is <em>not</em> a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

(70)-0.1(70)+2.7\stackrel{?}{=}56.70

Multiply:

70-7+2.7\stackrel{?}{=}56.7

Subtract:

63+2.7\stackrel{?}{=}56.7

Add:

65.7\neq56.7

However, we <em>can</em> verify that 60 <em>is</em> the solution by substituting. So, substitute 60 for every x:

(60)-0.1(60)+2.7\stackrel{?}{=}5.7

Multiply:

60-6+2.7\stackrel{?}{=}56.7

Subtract:

54+2.7\stackrel{?}{=}56.7

Add:

56.7\stackrel{\checkmark}{=}56.7

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

8 0
4 years ago
Read 2 more answers
A quadrilateral is graphed on a coordinate plane. If the vertices are A(2, 6), B(6, 0), C(2, –6) and D(–4, 0), which two points
Alik [6]

Check the picture below.

6 0
4 years ago
Read 2 more answers
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true
aleksley [76]

- I think it's possibly this "The figure must be a square because the diagonals of a square bisect the right angles." but there's also "The figure must be a rhombus because it has exactly 2 pairs of congruent angles." buuut since the first one seems more better i'm assuming then that's probably the right answer.

5 0
3 years ago
Is respect more important or is money more important?Explain Why
antiseptic1488 [7]
Respect is definitely more important than money because money is printed everyday there is tons of it. But respect is hard to get nowadays and is even easier to lose. Have you ever stopped and thought about the meanest thing that you have said to your friend? To someone online? Does that sound like respect to you?
5 0
3 years ago
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​
german

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

8 0
3 years ago
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