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Tamiku [17]
2 years ago
14

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics
1 answer:
anastassius [24]2 years ago
7 0

Answer:

  (a)  10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L is the length, and W is the width

__

The area of the given rectangle will be ...

  A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

  A = 2x(5x +7) -3(5x +7)

  = (2x)(5x) +(2x)(7) -3(5x) -3(7)

  = 10x^2 +14x -15x -21

  A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

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What is the area of a<br> parallelogram with a base<br> of 2.5 cm and a height of<br> 6 cm?
zloy xaker [14]

2.5 multiplied by 6 = 15

15 square centimeters

6 0
2 years ago
your baseball team has won 6 games and lost 4 games. if the team does not lose any more games, how many games must the team win
puteri [66]

Answer:

<em></em>

<em>The team must win 2 games to have a win : loss ratio o 2.</em>

Step-by-step explanation:

  • <u>Ratio win : loss, r</u>:

       r = total wins / total losses

       

  • <u>Total wins, Tw</u>:

        Call n the number of new wins:

        Tw =number of wins until so far + number of new win = 6 + n

  • <u>Total losses, Tl</u>:

        Tl = number of losses so far + number of new losses = 4 + 0 = 4

  • <u>Target ratio</u>:

        r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2

Solve for n:

  • (6 + n ) = 4 × 2
  • 6 + n = 8
  • n = 8 - 6
  • n = 2

Hence,<em> the team must win 6 more games.</em>

  • <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.

8 0
3 years ago
Robert ate a carton of yogurt that contained 260 calories, a sandwich
Nastasia [14]

Answer:

780 calories

Step-by-step explanation:

Robert ate a carton of yogurt = 260 calories

he ate        a sandwich            = 425 calories

And he also ate an orange     = 95 calories

Altogether he consumed        = 260 + 425 + 95

                                                 = 780 calories.

pls mark me brainliest that would be a  really great help. Thanks...

7 0
2 years ago
Ng 20-21
Lisa [10]

you would spend $30

Step-by-step explanation:

if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.

4 0
3 years ago
Read 2 more answers
Calculate the initial value:<br> m= 5<br> (-3, 6)
AysviL [449]

Answer:

initial value is 21

Step-by-step explanation:

y=mx+b

6= -3(5) +b

b=21

4 0
3 years ago
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