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Mademuasel [1]
3 years ago
11

the length of a rectangle is 4 units less than 3 times the width. The perimeter is 22 units more than twice of the width. Find t

he Length and the width of the rectangle.
Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
L=Length  W=Width P=Perimeter

L=3w-4
P=2w+22
P=2L+2w=2w+22                 Answer: W=5
2L=22                                                   L=11
L=11
11=3w-4
3w=15
W=5

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If -1 < x < 0 which of the following has the smallest value?
Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

  • y = x^2
  • y = x^3
  • y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0
3 years ago
Let $c(t)$ be the number of customers in a restaurant $t$ hours after 8 A.M. Match each statement with its meaning.
Leto [7]

Answer:

The meaning of each statement is shown below.

Step-by-step explanation:

Assume that the given statements are

(a) c(0)=0

(b) c(3)=c(8)

(c) c(n)=29

(d) c(13)<c(12)

Let c(t) be the number of customers in a restaurant t hours after 8 A.M.

We need to find the meaning of each given statement.

(a) c(0)=0 means the number of customers 0 hours after 8 A.M (i.e., 8 A.M.) is 0.

(b) c(3)=c(8) means the number of customers 3 hours after 8 A.M (i.e., 11 A.M.) is equal to the number of customers 8 hours after 8 A.M (i.e., 4 P.M.).

(c) c(n)=29 means the number of customers n hours after 8 A.M is 29.

(d) c(13)<c(12) means the number of customers 13 hours after 8 A.M (i.e., 9 P.M.) is less than the number of customers 12 hours after 8 A.M (i.e., 8 P.M.).

8 0
3 years ago
What is the product? (4x)(-3x^8)(-7x^3)<br> 0 -84x^12<br> o -84x^24<br> O 84x^12<br> O 84x^24
Rufina [12.5K]

Answer:

84 {x}^{12}  \:

Option C

Step-by-step explanation:

(4x)( - 3 {x}^{8} )( - 7 {x}^{3} )

(4x)(21 {x}^{8 + 3} )

84 {x}^{1 + 11}

84 {x}^{12}

3 0
3 years ago
1 . The ratio of 3 1/3 to 2 1/4 is equal to the ratio of? <br>​
Nikitich [7]

Answer:

40 : 27

Step-by-step explanation:

3\frac{1}{3} : 2\frac{1}{4}

Turn into improper fractions:
\frac{10}{3} : \frac{9}{4}

Make them integers by multiplying them by 12:
40 : 27

3 0
2 years ago
Find the distance between the two points (-10,3) and (0,27)​
crimeas [40]

Answer:

26 units

Step-by-step explanation:

\boxed{distance \: between \: 2 \: points =  \sqrt{ {(x1 - x2)}^{2} +  {(y1 - y2)}^{2}  } }

Using the formula above,

distance between (-10, 3) and (0, 27)

=  \sqrt{ {( - 10 - 0)}^{2}  +  {(3 - 27)}^{2} }

=  \sqrt{ {10}^{2}  + ( - 24) {}^{2} }

=  \sqrt{100 + 576}

=  \sqrt{676}

= 26 units

5 0
3 years ago
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