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Flura [38]
3 years ago
5

Test the number -7 to determine if it is a solution to the equation 4p - (p + 9) = 5p + 5.

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Plug -7 in for where ever you see the variable p if the final answer is equal to each other then -7 is a solution to the equation

4 × (-7) - (-7 + 9) = 5 × (-7) + 5

Use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses

4 × (-7) - (-7 + 9) =  5 × (-7) + 5

4 × (-7) - 2 =  5 × (-7) + 5

There are no exponents so go to the next step

Multiplication (apply this from left to right)

4 × (-7) - 2 =  5 × (-7) + 5

-28 - 2 = 5 × (-7) + 5

-28 - 2 = 5 × (-7) + 5

-28 - 2 = -35 + 5

There is no division so go to the next step

Addition

-28 - 2 = -35 + 5

-28 - 2 = -30

Subtraction

-28 - 2 = -30

-30 = -30

-30 = -30

-7 is a solution to this equation because when evaluated both sides equals -30

Hope this helped!

~Just a girl in love with Shawn Mendes

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If an integer m is divisible by both 10 and 12, then it must also be divisible by which of the following?
Murrr4er [49]

Answer:

20

Step-by-step explanation:

an integer m is divisible by both 10 and 12

Lets write the prime factor for each number

the prime factor for 10 is 5,2

the prime factor for 12 is 3,2,2

Now take the product of the  prime factors that are not in common and also in common5 \cdot 3 \cdot 2 \fdot 2= 60

60 is divisible  by 20

so answer is 20

3 0
3 years ago
What is 1/8-10(3/4-3/8x)+5/8x
cluponka [151]

Answer:

x = 59/35

Step-by-step explanation:

<u>Step 1:  Distribute</u>

1/8 - 10(3/4 - 3/8x) + 5/8x

1/8 - 30/4 + 30/8x + 5/8x

<u>Step 2:  Combine like terms</u>

1/8 - 30*2/4*2 - 30/8x + 5/8x

1/8 - 60/8 + 35/8x

-59/8 + 35/8x

<u>Step 3:  Solve for x</u>

-59/8 + 35/8x + 59/8 = 0 + 59/8

35/8x * 8/35 = 59/8 * 8/35

x = 59/35

Answer:  x = 59/35

4 0
3 years ago
(4w-3)^2<br> what would be the answer to that?? please explain, i’m so confused.
yarga [219]

Answer:

16w^2  - 24w + 9

Step-by-step explanation:

To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,

a = 4w

and

b = 3

Now we just substitute into a^2 - 2ab + b^2

(4w)^2 - 2(4w)(3) + (3)^2

16w^2  - 24w + 9

7 0
3 years ago
Read 2 more answers
is vector v with an initial point of (-5,22) and a terminal point of (20,60) equal to vector u with an intintal point of (50,120
marta [7]

Answer:

Yes, vectors u and v are equal.

Step-by-step explanation:

We need to check whether vectors u and v are equal or not.

If the initial point is (x_1,y_1) and terminal point is (x_2,y_2), then the vector is

Vector=(x_2-x_1)i+(y_2-y_1)j

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

\overrightarrow v=(20-(-5))i+(60-22)j

\overrightarrow v=25i+38j       ..... (1)

Vector u with an initial point of (50,120) and a terminal point of (75,158).

\overrightarrow u=(75-50)i+(158-120)j

\overrightarrow u=25i+38j         .... (2)

From (1) and (2) we get

\overrightarrow u=\overrightarrow v

Therefore, vectors u and v are equal.

5 0
3 years ago
EXPERTS/ACE/TRUSTED HELPERS
snow_tiger [21]

the figure moved 7 to the right and 7 down

 answer is C

5 0
3 years ago
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