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3 years ago

The length of a rectangle is 12 cm more than its width. Find the

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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Find the total for items costing $149.99 with a sales tax of 5.75%

jek_recluse [69]

141.36 is the answer

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3 years ago

Which number line shows the solution to the inequality? y-2 <-5

spin [16.1K]

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2 years ago

What is the expression in radical form?

RoseWind [281]

Answer:

The answer is;

4^3/10 • x^9/10 •y^3/5

Step-by-step explanation:

We want to express the expression in the bracket in radical form;

(4x^3y^2)^3/10

What we shall do here is to multiply all the powers of the terms in the bracket by 3/10

So we shall have;

4^3/10 • x^(3*3/10) * y^(2*3/10)

= 4^3/10 • x^9/10 • y^3/5

3 0

2 years ago

X^2 -18x +81=0 factor it

nasty-shy [4]

Answer:

x=9

Step-by-step explanation:

81 is the product of -9 & -9. -9-9=-18. Therefore, (x-9)^2=0, and you get that x=9.

6 0

3 years ago

Nina purchased apples and strawberries. She purchased a total of 9 pounds of fruit and spent a total of $16.35. Strawberries cos

irina [24]

Answer:

4 pounds of strawberries and 5 pounds of apples are bought.

Step-by-step explanation:

Given:

Total number of pounds of fruit = 9 pounds

Total money spent = $16.35

Cost of 1 pound of strawberry = $1.60

Cost of 1 pound of apple = $1.99

Let 'x' pounds of strawberries and 'y' pounds of apples are bought.

So, as per question:

The sum of the pounds is 9. So,

$x+y=9\\\\y=9-x----1$

Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,

$1.60x+1.99y=16.35----2$

Now, plug in the 'y' value from equation (1) in to equation (2). This gives,

$1.60x+1.99(9-x)=16.35\\\\1.60x+17.91-1.99x=16.35\\\\Combining\ like\ terms, we get:\\\\1.60x-1.99x=16.35-17.91\\\\-0.39x=-1.56\\\\x=\frac{-1.56}{-0.39}=4\ pounds$

Now, from equation 1, we have:

$y=9-4=5\ pounds$

Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.

4 0

2 years ago