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Akimi4 [234]
4 years ago
11

PLEASE HELP!!!!!

Mathematics
1 answer:
vovikov84 [41]4 years ago
5 0
<span>Let x = the width

it says, "The length of a rectangle is 4 less than 3 times the width." write that as: 
L = 3x - 4

If the perimeter is 40, find the dimensions of the rectangle.

We know: 2L + 2W = 40

Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40

6x - 8 + 2x = 40; multiplied what's inside the brackets

6x + 2x = 40 + 8; do some basic alegbra to find x; (added 8 to both sides)

8x = 48

x = 48/8

x = 6 which is the width

It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length

Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40
</span>
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Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the t
damaskus [11]

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

7 0
3 years ago
Help please! 50 points! Troll answers WILL be reported
natka813 [3]

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

4 0
3 years ago
The area of a square is 321 square feet. Which best represents the length of a side?​
sdas [7]
The side length is about 17.916

7 0
3 years ago
Please help me with 2 and 3 and use the elimination process!
grandymaker [24]

Answer:

2. Judy =$5

Ben= $4

Step-by-step explanation:

2. Let Judy =  x  and Ben =  y

8x + 10y = 80

9x + 5y = 65

Solve these simultaneous equations.

8 x  +  10 y  =  80

18 x  +  10 y  =  130

Take the second equation away from the first equation

− 10 x  =  − 50

x  =  5

This means that Judy gets paid $5 an hour.

Therefore, Ben gets paid $4 an hour.

Answer:

3. 24 quarters and 16 dimes

Step-by-step explanation:

3. Let the number of dimes = x and the number of quarters = y

                                    Value      Value

Type        Number       of             of

of             of                EACH      ALL

coin         coins            coin        coins

-------------------------------------------

dimes         x              $0.10       $0.10x

quarters      y             $0.25      $0.25y

-------------------------------------------

TOTALS    40                            $7.60

x + y = 40

0.10x + 0.25y = 7.60

Get rid of decimals by multiplying every term by 100:

10x + 25y = 760

So we have the system of equations:

x + y = 40

10x + 25y = 760

         

We solve by substitution.  Solve the first equation for y:

x + y = 40

y = 40 - x

Substitute (40 - x) for y in 10x + 25y = 760

      10x + 25(40 - x) = 760

      10x + 1000 - 25x = 760

           -15x + 1000 = 760

                  -15x = -240

                       x = 16 = the number of dimes.

Substitute in y = 40 - x

                     y = 40 - (16)

                     y = 24 quarters.

$1.60 + $6.00 = $7.60

I hope that helped, sorry for taking so long :-)

8 0
3 years ago
Solve the following expression: -3+10 - -4 • -5+-6
serg [7]

Answer:

-19

Step-by-step explanation:

-3+10- (-4) × (-5)+(-6)

-3+10+4 × (-5)-6

4×(-5) = -20 -3+10-20-6 = -19

♡ There's this app called Photomath. It will help you with problems like these. I hope this helps. Please mark me as BRAINLINESS....

6 0
4 years ago
Read 2 more answers
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