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aleksley [76]
3 years ago
6

Which equation below represents the model shown?

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0
Is there any answer choices or a picture??
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The number -8 lies to the right of ___________ on the number line.<br> 8<br> 0<br> -6<br> -12
Shtirlitz [24]

Answer:

-6

Step-by-step explanation:

-123456789101112131415

4 0
3 years ago
Two car washes charge a basic fee plus a fee based on the number of extras that
mezya [45]

<u><em>Answer:</em></u>

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>The general form of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

<u>For the first car wash, we are given the equation:</u>

y₁ = x + 9

<u>Now, we will start by getting the equation for the second car wash:</u>

<u>1- getting the slope:</u>

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5

The equation now is: y = 1.5x+c

<u>2- getting the y-intercept:</u>

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

<u>The equation for the second car wash is:</u>

y₂ = 1.5x + 6

<u>Part 1:</u>

As mentioned above, the y-intercept represents the basic fee

<u>For the first car wash:</u>

y₁ = x + 9 ................> The basic fee is $9

<u>For the second car wash:</u>

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

<u>Part 2:</u>

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

<u>Let's verify:</u>

<u>For x = 6:</u>

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0
3 years ago
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
AnnyKZ [126]

Answer:

<em>No</em><em>.</em><em> </em><em>of</em><em> </em><em>sweets</em><em> </em><em>=</em><em> </em><em>123</em><em> </em>

<em>No</em><em>.</em><em> </em><em>of</em><em> </em><em>children</em><em> </em><em>=</em><em> </em><em>7</em><em> </em>

<em>then</em>

<em>sweets</em><em> </em><em>per</em><em> </em><em>children</em><em> </em><em>=</em><em>123</em><em>/</em><em>7</em><em> </em><em>=</em><em>17</em><em>.</em><em> </em><em>57</em>

5 0
2 years ago
Read 2 more answers
HELP ME WITH THIS PLEASE!!!!
Vlada [557]

The answer is left two places.

For example 5.% would be 0.05 as a decimal.

5 0
3 years ago
The ratio of males to females in a cycling club is 5:3.
taurus [48]

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

6 0
3 years ago
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