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4 years ago

Paula used these steps to solve an equation:

Mathematics

1 answer:

Nookie1986 [14]4 years ago

5 0

Answer:

steps 4 and 5

Step-by-step explanation:

When we look at example, we can see that we have :

-6r=57

So we divide by -6 and we got

$r=-\frac{57}{6}$

So, our final answer is steps 4 and 5

You might be interested in

Express 0.64 as a fraction in lowest term? A. 64/10 B.5/32 C.4/5 D.16/25

Elanso [62]

In its decimal form, it says ' 64 / 100 '.

In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '.
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.

The common factors of 64 and 100 are 1, 2, and 4 .
We could divide top and bottom by 2, but that wouldn't finish the job.
It's always best to divide them by their greatest common factor, and
once you do that, you're done.

Dividing the numerator and denominator both by 4,
we get the fraction in its lowest terms:

0.64 = 64/100 = 16/25

5 0

4 years ago

If m∠PQR=(12x−2)∘, and mPR=(20x−10)∘, what is m∠PQR? a. 137.5 b. 70 c. 16 d. 81

astraxan [27]

Answer:

Step-by-step explanation:

12x - 2 + 20x - 10 = 180

32x - 12 = 180

32x = 192

x = 6

12*6 - 2

72 - 2 = 70

the solution is b

3 0

3 years ago

Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). (Enter your answers in set notatio

horrorfan [7]

Answer:

a) FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VFFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

b) FVFF, FFVF, FFFV,VFFF

c) VVVV or FFFF

d) FFFF, FVFF, FFVF, FFFV, VFFF

e) FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

Step-by-step explanation:

For this case we define some notation:

F= mortgage classified as fixed rate

V= mortgage classified as variable rate

We select a sample of 4 mortgages.

Part a

We have 2*2*2*2= 16 possible combinations defined below:

FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VVFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

Part b

Which outcomes are in the event that exactly three of the selected mortgages are fixed rate

We need to see in the possible outcomes from part a) how many we have exactly three F's .If we analyze the possible options the possible combinations are:

FVFF, FFVF, FFFV, VFFF

Part c

Which outcomes are in the event that all four mortgages are of the same type?

For this case we have just two possible values: VVVV or FFFF

Part d

Which outcomes are in the event that at most one of the four is a variable rate mortgage?

We need to see in the possible outcomes from part a) how many have at least one V. After analyze we see that the possible values:

FFFF, FVFF, FFVF, FFFV, VFFF

Part e

The union represent all four mortgages are of the same type or outcomes are in the event that at most one of the four is a variable rate. So we are looking for the possible outcomes VVVV and FFFF and the outcomes with just one V ( FVFF, FFVF, FFFV ,VFFF) so then the union would be:

FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

4 0

3 years ago

2x² + 3x - 1 =0 by make quadratic equation

Strike441 [17]

Answer:

$\frac{1}{2}$