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3 years ago

-49 is less than or equal to 9-2x

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

Answer:

x is less than or equal to 29

Step-by-step explanation:

-49 <_ 9 - 2x

isolate the variable.

-49 - 9 <_ 9 - 2x - 9

-58 <_-2x

-58/-2 <_-2x/-2

When dividing or multiplying by negatives, flip the sign.

-58/-2 <_-2x/-2

29 >_ x

x <_ 29

x is less than or equal to 29

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you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest o

disa [49]

Answer:

26%

Step-by-step explanation:

Your 36 monthly payments will total ...

36 × $205.10 = $7383.60

$5860 of that is the amount you borrowed. The remainder is the interest you pay:

$7383.60 -5860 = $1,523.60

As a percentage of the original loan amount this is ...

$1523.60/$5860 × 100% = 26%

You pay back 26% of the original loan amount in interest.

3 0

3 years ago

Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She al

Arte-miy333 [17]

Answer:

s14.98 + 92

Step-by-step explanation:

In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:

s14.98 represents how many shorts Michele bought and how much they cost

8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so

8 * 11.50 = 92

Therefore, by adding the shorts and shirt together, we get the expression:

s14.98 + 92

Hope this helps :)

7 0

3 years ago

The table shows the number of tacos that Taco Bus sold in 4 months.

Mademuasel [1]

Answer:

Step-by-step explanation:

A: Correct

June + August > July

12,832 + 8,465 > 20,005

21,297 > 20,005

B: Wrong

July = June + 8,173

20,005 = 12,832 + 8,173

20,005 ≠ 21005

C: Correct

July + August > May + June

20,005 + 8,465 > 9,325 + 12,832

28470 > 22157

D: Wrong

9,325 +12,832 +20,005 + 8,465 = 50627

E: Correct

May + June = 22,157

9,325 + 12,832 = 22,157

22,157 = 22,157

Part B: 2215

July - May + August = ?

20,005 - 9,325 + 8,465 = ?

20,005 - 17790 = 2215

6 0

3 years ago

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

An unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are s

puteri [66]

The given equations are

$w = p+30 \\ w = -p+5$

TO solve for p and w, we can use elimination method. And the first step is to eliminate p by adding both equations .

So out of the given options, correct option is the first option .

7 0

4 years ago

Read 2 more answers