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2 years ago

Length of a rectangle is 7 less than 3 times it’s width. Area is 40cm^2. Find dimensions URGENT

1 answer:

7 0

X= width
length= 3x-7
Area: (x)(3x-7)=40
= 3x^2-7x=40
= 3x^2-7x-40=0
Factorise the equation: (3x+8)(x-5)=0
x=-8/3 (reject because width cannot be negative) or x=5
so width is 5cm and length is 3(5)-7= 8cm !

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What is the equation for f(x)

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3 years ago

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4 years ago

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Factorise<br><br>4(a+b) - 6(a+b)²

lawyer [7]

Good morning ☕️

Answer:

$2(a+b)(2 - 3a - 3b)$

Step-by-step explanation:

4(a+b) - 6(a+b)²

here we need to find the common factor between 4(a+b) and 6(a+b)²

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then

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= [2(a+b)]×[2 - 3(a+b)]

= 2(a+b)×(2 − 3a − 3b)

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8 0

3 years ago

5v + 7f =28.70 if f is 2.85

adell [148]

Hey!

First, let's write the problem.
$5v+7\left(2.85\right)=28.7$
Multiply $7$ with $2.85$ .
$5v+19.95=28.7$
Subtract $19.95$ from both sides.
$5v+19.95-19.95=28.7-19.95$
$5v=8.75$
Divide both sides by $5$ .
$\frac{5v}{5}=\frac{8.75}{5}$
$v=1.75$

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish

3 0

4 years ago

Read 2 more answers

One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric c

Digiron [165]

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

$\frac{3y}{3} = \frac{3240}{3}$

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

$\frac{2x}{2} = \frac{1760}{2}$

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

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4 years ago