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3 years ago

Explain the difference between (-10)2 and -102. What are the values of each expression?

Mathematics

2 answers:

Goryan [66]3 years ago

8 0

It’s in the question the parentheses

-Dominant- [34]3 years ago

3 0

Answer:

The answer is in the explanation, parentheses are very important

Step-by-step explanation:

(-10)2 you use distribution so it will be -20

and the -102 would just be some number if with out the parentheses

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3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10

Hoochie [10]

9514 1404 393

Answer:

8 gallons

Step-by-step explanation:

The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...

$2/($0.25/gal) = 8 gal

to make the costs the same.

The customer must purchase 8 gallons for the total cost to be the same at both gas stations.

___

3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash

0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides

g = 2/.25 = 8 . . . . . . the way we did it above

4 0

3 years ago

What is the sum of (5x - 10) and (-X + 8) ?

Darya [45]

4x-253 urge ytrv 57843 t58

7 0

3 years ago

Is -1.4 greater than 0.3

Tomtit [17]

No, it is not, since -1.4 is a negative number and 0.3 is a positive number. Hope this helps!

7 0

2 years ago

If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

5 0

2 years ago

A total of 20% of a fire department's firefighters are in the Special Units Division. A total of 8% of the department's firefigh

ankoles [38]

The answer is c. 40%

3 0

3 years ago