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lozanna [386]
3 years ago
12

the perimeter of a rectangle is a 192ft. the ratio of its length to its width is 7:5. what are the dimensions of the rectangle?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

L = 56, W = 40

Step-by-step explanation:

192 = 14x + 10x

x = 8

length = 8*7 = 56

width = 5*8 = 40

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Which are partial products for 89 × 25? There are two answers.
fomenos
<span>89 x 20 = 1780 89 x 5 = 445 80 x 20 = 1600 9 x 20 = 180 80 x 5 = 400 9 x 

</span>
7 0
3 years ago
I Need help. Please give working thank you.
NARA [144]

  x + y = 75

+  <u>x - y = 35</u>

  2x     = 110

    x     = 55

 x + y = 75  

55 + y = 75

       y = 20

Since Tom is older, then he is 55 and Mike is 20.

Answer: 55


3 0
3 years ago
Find the area of the shaded region.
liq [111]
Area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
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the area of the shaded region is 72 m^2
3 0
3 years ago
Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.
Umnica [9.8K]

Answer:

<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>

Step-by-step explanation:

• General quadratic equation:

{ \rm{ {x}^{2}  - (sum \: of \: roots)x + (product \: of \: roots) }}

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

{ \boxed{ \rm{4 {x}^{2}  - 9x + 20 }}}

3 0
3 years ago
1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.
Greeley [361]

Answer:

8.2+/-0.25

= ( 7.95, 8.45) years

the 95% confidence interval (a,b) = (7.95, 8.45) years

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.2 years

Standard deviation r = 1.1 years

Number of samples n = 75

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

8.2+/-1.96(1.1/√75)

8.2+/-1.96(0.127017059221)

8.2+/-0.248953436074

8.2+/-0.25

= ( 7.95, 8.45)

Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years

3 0
3 years ago
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