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Alinara [238K]
3 years ago
13

The length of a rectangle is 5 cm greater than its width. The perimeter is 42 cm. What are the dimensions of the rectangle.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

length=25  width=17

Step-by-step explanation:

l+w=42

start by guessing a pair of numbers that equals 42 i chose 22+20

since these two numbers are 2 digits apart,

5-2=3

now we have to add 3 to 22 and subtract 3 from 20

now it is 25+17 which still equals 42

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What is -2(3x+12y-5-17x-16y+4) simplified?
wel

Answer:

The answer is option b.

-2(3x+12y-5-17x-16y+4)

= -6x - 24y + 10 + 34x + 32y - 8

= 28x + 8y + 2

Hope this helps

5 0
3 years ago
Lily baked two dozen Cookies. She gave 3/8 of the cookies to the neighbors. Twelve were shared with family. Lily kept the remain
umka21 [38]

Answer:

whats up shay

Step-by-step explanation:

whats up lynn

6 0
3 years ago
The number of students at a high school was decreased by 30% to 420 after the senior students graduated how many students were a
olchik [2.2K]

Answer:

Step-by-step explanation:

s(1-30/100)=420

s(100-30)/100=420

s(70/100)=420

s(7/10)=420

7s=4200

s=600

5 0
2 years ago
Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze
Finger [1]

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\

f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\

\text{when x=}\frac{3}{4}\\\\

f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots=\frac{-b}{a}= \frac{-20}{4}=-5\\

But -5+\frac{1}{2}+\frac{3}{4}=  \frac{-15}{4}\neq-5

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

6 0
3 years ago
Which of the following options have the same value as
Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(C) 65/20 * 100

(D) 65 * 20

Answer:

Option A has the same value as  65% of 20

Step-by-step explanation:

Let x be the value of  65% of 20

x = 65\% of 20

x = \frac{65}{100} \times 20

x =0.65 \times 20

x =13

Thus 65% of 20 is 13

Now ,

<u>Solving Option A</u>

=> (0.65) \cdot (20)

=> 13

<u>Solving Option B</u>

=> 65/100 divided by 20

=>\frac{\frac{65}{100}}{20}

=>\frac{0.65}{20}

=>0.0325

<u>Solving Option C</u>

=>65/20 * 100

=>\frac{65}{20} \times 100

=>3.25 \times 100

=>325

<u>Solving Option D</u>

=> 65 * 20

=>65 \times 20

=> 1300

8 0
3 years ago
Read 2 more answers
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