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blagie [28]
2 years ago
14

Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles

Mathematics
2 answers:
Tema [17]2 years ago
5 0

Answer:

25 miles

Step-by-step explanation:

I'll create a set of proportions to figure out the answer (represented by x):

2:10 = 5:x

It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.

1:5 = 5:x

You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.

If you have questions or need clarification on anything, let me know!

Vesnalui [34]2 years ago
3 0

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
While shopping, Dawn finds a backpack that she likes on the sale rack. Its original price is $60,
Nadya [2.5K]

No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.

So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.

We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.

100%= 60 $

1%=60/100

55%= 60/100 × 55 = 33 $

Now <u>NOTE</u><u>;</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>money</u><u> </u><u>reduced</u><u> </u><u>from</u><u> </u><u>the</u><u> </u><u>60</u><u> </u><u>$</u><u>.</u><u> </u><u>So</u><u>,</u><u> </u><u>logically</u><u>,</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>isn't</u><u> </u><u>the</u><u> </u><u>amount</u><u> </u><u>which</u><u> </u><u>Dawn</u><u> </u><u>purchased</u><u> </u><u>the</u><u> </u><u>whole</u><u> </u><u>rack</u><u>. </u>

To find the amount at which she purchased everything, we need to do,

60 $ - 33 $ = 27 $

6 0
3 years ago
Please hurry.
Pie

Answer:

3i-1

Step-by-step explanation:

2+3i-3

3i-1

4 0
3 years ago
A number of robbers were discussing how best to share some stolen rolls of
kupik [55]

Answer:

83

Step-by-step explanation:

Let the number of robbers be x

If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5

In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.

Equating these two

7x-8=6x+5

Arranging similar terms

7x-6x=8+5

x=13

Therefore, the robbers are 13

The rolla they have will be

6(13)+5=83

Or

7(13)-8=83

6 0
2 years ago
Simplify the following expressions and remember to pay attention to the signs plz help me
ioda

2 negatives can be converted to a plus sign. -(-x) can be +x or just x.

-54--23

-54+23

<u>23-54=-31</u>

78--4

<u>78+4=82</u>

-48/-6

Now let's pause fer a sec. When a negative is being divided by another negative, the quotient(answer to division problem) becomes a positive.

<u>-48/-6=8</u>

<u></u>

<u>50*-4=-200</u>

---

hope it helps

7 0
2 years ago
Read 2 more answers
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