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Snowcat [4.5K]
3 years ago
8

9- 4(2p+3) - 8p+7 how do i solve this ?

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer:

= -16p+4

Step-by-step explanation:

First we simplify:

9-4(2p+3)-8p+7

Then we distribute:

=9+(-4)(2p)+(-4)(3)+(-8p)+7\\=9+(-8p)+(-12)+(-8p)+7

Lastly, combine like terms:

=9+-8p+-12+-8p+7\\=(-8p+-8p)+(9+-12+7)\\=-16p+4

Hope this helps!

Have a good evening! :)

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A shopper pushes a cart 50 m south down one aisle and then turns 90.0° west and moves 23 m. He then makes another 90.0° turn and
irga5000 [103]

Answer:

Step-by-step explanation:

Given

Shopper pushes a cart 50 m south down then turns 90 ^{\circ}  west and moves 23 m.

he then makes 90^{\circ} turn and moves 14 m

(a)Largest possible displacement is when he turns towards south

Net displacement=\sqrt{64^2+23^2}=68.0 m

(b)Smallest displacement when he turns towards north

=\sqrt{36^2+23^2}

=\sqrt{1825}=42.72 m

6 0
3 years ago
The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectan
Levart [38]

Answer:

3x+6 sq units

Step-by-step explanation:

3(x+2) = 3x + 6

6 0
3 years ago
Read 2 more answers
Can someone explain division of polynomials to me please.
kykrilka [37]

Answer: Division of Polynomials is just like the long division  that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

  • First: set up the division putting the dividend inside the divisor outside and to the left
  • Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
  • Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
  • Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
  • Fifth: Do the subtraction
  • Sixth To subtract change all the signs in the second line, then add down.
  • Next: Carry down that last term from the dividend
  • From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0
3 years ago
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.
UkoKoshka [18]

Answer:

What grade is this?

Step-by-step explanation:


7 0
3 years ago
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