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Katen [24]
3 years ago
13

The length of a rectangle is represented by 3x + 4, and its width is represented by

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

5

Step-by-step explanation:

Length of rectangle = 3x + 4

Width of the rectangle = 2x + 6

Perimeter of rectangle = 2(l + b)

45 = 2(3x + 4 + 2x + 6)

45 = 2(5x + 10)

45 = 10x + 20

45 - 20 = 5x

25 = 5x

x = 25/5

x = 5

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Solving a System of Linear Equations - Applications - Item 92238
Viktor [21]

Answer:

$132

Step-by-step explanation:

1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs

2) From the given eqn,

y = (84 - 4x)/2

and

y = (126 - 3x)/5

equating both the equation,

(84 - 4x)/2 = (126 - 3x)/5

=> 210 - 10x = 126 - 3x

=> 7x = 84

=> x = 12

=> y = (84 - 48)/2 = 18

Hence the co-ordinate of intersection will be (12,18)

3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30

4) The total earning of hour 3

= 5x + 4y

= 5.12 + 4.18

= 60 + 72

= $ 132

7 0
3 years ago
What are the domain and range of h(x) = 3|x|? A. domain: all real numbers; range: y ≤ 0 B. domain: x ≥ 0; range: all real number
frozen [14]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Mr. Ortiz has 3/4 pound of oatmeal.
ki77a [65]

Answer:

\frac{1}{4}\ pound

Step-by-step explanation:

We\ are\ given:\\Amount\ of\ oatmeal\ Mr.Ortiz\ has=\frac{3}{4}\ pounds \\Amount\ of\ Oatmeal\ he\ uses\ to\ bake\ muffins=\frac{2}{3}\ of\ the\ amount\ he\ had\\Now,\\Lets\ first\ find\ the\ amount\ of\ oatmeal\ he\ used=\frac{3}{4}*\frac{2}{3}=\frac{1}{2}\ pounds\\Hence,\\The\ amount\ of\ oatmeal\ remains=Total\ amount\ of\ oatmeal-Amount\\ he\ used\ to\ make\ muffins\\Hence,\\The\ amount\ of\ oatmeal\ left\ with\ Mr.\ Ortiz=\frac{3}{4} - \frac{1}{2} =\frac{1}{4}\ pound

5 0
3 years ago
The number of bacteria in petri dish A doubles every 10 minutes. The number of bacteria in oetri dish B doubles every 6 minites.
marissa [1.9K]
Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes

Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.

Solution
If you work best with numbers then suppose there are 100 bacteria in both dishes at the beginning
A = 100 * 2^6
B = 100 * 2^10

A will have 100 * 64 = 6400 bacteria growing inside A
B will have 100 * 1024 = 102400 bacteria growing inside B

B/A = 102400 / 6400 = 16

There are 16 times as many in B than in A. <<<< Answer

7 0
3 years ago
What is the value of x in this triangle?
Sedaia [141]
Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°
8 0
3 years ago
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