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vladimir2022 [97]
3 years ago
13

Ariana wants to ride her bicycle 37 miles this week. She has already ridden 14 miles. If she rides for 5 more days, write and so

lve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

4.6 miles for 5 days.

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

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90 POINTS! HELP PLEASE!!!! I need answers to a-e thank you.
polet [3.4K]

Answer:

(a)Equation representing amount of lights on Monday is 2 x  + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x  + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

    and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

​Let y = strands of lights on trees.

Bob used ​44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes  = 2x

and  the number of light on 3 tress  = 3 y

⇒ 2 x  + 3 y = 44

Also, On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes  = 5x

and  the number of light on 3 tress  = 3 y

⇒ 5 x  + 3 y = 56

Now, solving the system of equations:

2 x  + 3 y = 44

5 x  + 3 y = 56

Subtract equation (2) from (1), we get

2 x  + 3 y  - (5 x  + 3 y)  = 44   - 56

or, 2x - 5x = - 12

or, 3x  =  12 ⇒ x =  12/3  = 4    or x  = 4

Using x  = 4 in 2x + 3y = 44

2(4)  + 3y  =  44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y  = 12

So, the value of x  = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

8 0
3 years ago
What is the simplified form of the rational expression below? 5x^2-5 over 3x^2+3x
nalin [4]
The answer is (5(x-1))/3x
8 0
3 years ago
Read 2 more answers
A scale drawing of a bedroom is shown below. The scale is 1 : 30.
ladessa [460]

Answer: 75 feet²

Step-by-step explanation:

     The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.

\frac{1}{3} =\frac{30}{x}

x = 90

-

\frac{1}{4} =\frac{30}{x}

x = 120

   The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 90 * 120

A = 10,800 inches²

 To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

10,800 inches² / 144 = 75 feet²

           The area of the room, in square feet, is 75 feet².

3 0
1 year ago
Write the slope-intercept form of the equation of the line through the given points.
Yuri [45]
<h3>Answer:  y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0
2 years ago
Match each inequality to the graph of the solution.
Alexandra [31]
So the circle when it is filled in means that the number is included so in the phase the < or > sign will have a line under it, for instance 1. X> 2 the answer would be D because everything that the number line is showing you is less than 2 and the circle is not filled in so 2 is not included in the answer
3 0
3 years ago
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