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bezimeni [28]
3 years ago
8

Fill in the blanks (ASAP- 30 points, must answer all)

Mathematics
2 answers:
skad [1K]3 years ago
7 0

Answer:

1) (m - 6n)

2) 12p³

3) (1 + 5w - (-7w²))

Step-by-step explanation:

19m^2n - 114mn^2

19mn(m) - 19mn(6n)

19mn(m - 6n)

24p^3t + 60p^3 =

12p³(2t) + 12p³(5)

12p³(2t + 5)

5wz + 25w^2z + 35w^3z

5wz(1) + 5wz(5w) + 5wz(7w²)

5wz(1 + 5w + 7w²)

5wz(1 + 5w - (-7w²))

lubasha [3.4K]3 years ago
4 0

Answer:

(m-6n)

12p^3

19m^{2}n-114mn^2=19mn\\19mn(m-6n)=19mn \\

24p^{3t}+60p^3=(*********)(2t+5)

24p^{3t}+60p^3\\24\left(p^t\right)^3+60p^3\\2\cdot \:12\left(p^t\right)^3+5\cdot \:12p^3\\12\left(2\left(p^t\right)^3+5p^3\right)\\12\left(2p^{3t}+5p^3\right)\\12(2p^3 p^t+5p^3)\\12p^3(2 p^t+5)

5wz\:+\:25w^2z\:+\:35w^3z\:=\:5wz\\5wz+25w^2z+35w^3z-5wz=5wz-5wz\\35zw^3+25zw^2=0\\5zw^2\left(7w+5\right)=0

Considering just the LHS:

5wz\:+\:25w^2z\:+\:35w^3z\:\\5wz(1+5w+7w^2)\\5wz(1+5w-(-7w^2))

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30 POINTS NEED HELP
KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

5 0
3 years ago
Write the equation of a line that is parallel to y= 3x-2 and that passes through (9,-5).
sergij07 [2.7K]

Answer:

y = -1/3x + 2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The line y = 3x - 2 has slope 3.

The perpendicular line has slope -1/3.

Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).

y = mx + b

y = -1/3x + b

5 = (-1/3)(-9) + b

5 = 3 + b

b = 2

The equation of the perpendicular is

y = -1/3x + 2

3 0
3 years ago
The area of a gymnasium is (27x + 18) square units. Factor 27x + 18 to find possible dimensions of the gymnasium.
Veronika [31]

Answer:

Dimension of gymnasium= 9 units and (3x+2) units.

Step-by-step explanation:

We have been given the area of a gymnasium is 27x+18 square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.

Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

(9\times 3x+9\times 2)

Upon factoring out 9 from our given expression we will get,

9(3x+2)

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.  

8 0
3 years ago
Read 2 more answers
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design f
matrenka [14]

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

<u>Rock the House Digital Designs</u>

  • Cost = $(500 + 50h)

<u>Elegant Home Architects</u>

  • Cost = $(75h)

===========================

<u>Answer options:</u>

1)The expression 50h represents the total charge for Rock the House Digital Designs.

  • Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

  • Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

  • Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

  • Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

  • Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
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3 years ago
I need help finding the area of this compound shape. Need help asap.
MariettaO [177]
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