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blsea [12.9K]
4 years ago
5

In two hours, Holden completed 3/4 of the race. How long will it take Holden to complete the entire race?

Mathematics
2 answers:
nadya68 [22]4 years ago
8 0
If in 55 mins Holden travels 1/4.it will take here 2.55 hours to complete the entire race. Wish this helped
rewona [7]4 years ago
3 0

Answer:

2 hours and 40 minutes

Step-by-step explanation:

we need to find how much time it takes to complete the race if in two hours holden completed 3/4, the information is this:

hours    race

  2          3/4

   x            1

where x is the unknown hours that takes to complete 1 race.

Using rule of three:

we multiply  the cross quantities (2 by 1) and then divide by 3/4:

x=\frac{2*1}{\frac{3}{4} } =\frac{4*2}{3} =\frac{8}{3} =2.666 hours

this is 2 hours plus 0.666 of hour.

0.666 of hour is equal to \frac{2}{3} of hour, and since one hour has 60 minutes:

60(\frac{2}{3} )=40min

the total time is 2 hours and 40 minutes.

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Which equation describes a line with a slope of -8 and includes the point (-4, 7)?
timurjin [86]
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
 
Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
          x₁ = - 4
          y₁ =  7
                              ⇒  y - 7 = -8 ( x - (-4))

                              ⇒ y - 7 = -8x - 32

                              ⇒ y + 8x = - 25
                   


3 0
3 years ago
Factor of this trinomial x^2 - 11x + 24
dimulka [17.4K]
<span>x^2 - 11x + 24 = (x - 8)(x - 3)

hope it helps</span>
6 0
3 years ago
Please someone help me with this
Ivenika [448]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ahs vertices at points A(-4,-4), B(-1,-2) and C(-1,-4).

<u>1 way:</u> First reflect this triangle across the y-axis to form the triangle A''B''C'' which vertices are at points A''(4,-4), B''(1,-2) and C''(1,-4).

Then translate this triangle 7 units up to form the triangle A'B'C' with vertices:

A'(4,-4+7)=A'(4,3)\\ \\B'(1,-2+7)=B'(1,5)\\ \\C'(1,-4+7)=C'(1,3)

<u>2 way:</u> First translate this triangle 7 units up to form the triangle A''B''C'' which vertices are at points A''(-4,3), B''(-1,5) and C''(-1,3).

Then reflect this triangle across the y-axis to form the triangle A'B'C' with vertices:

A'(-(-4),3)=A'(4,3)\\ \\B'(-(-1),5)=B'(1,5)\\ \\C'(-(-1),3)=C'(1,3)

8 0
3 years ago
А support wire 12 yards long is attached to the top of a utility pole 10
stira [4]

Answer:

6.6 yd

Step-by-step explanation:

a^{2}+b^{2}=c^{2}

10^{2}+b^{2}=12^{2}        Substitute a= 10 and c=12

100+b^{2}=144      Evaluate the Powers

b^{2}=44               Subtract 100 on both sides.

b=\sqrt{44}             Square root both sides b>0 so you dont need ⊥

b=6.6              Use a calculator to evaluate.

6 0
3 years ago
Four times a number is -8.8
ASHA 777 [7]

Answer:

-2.2

Step-by-step explanation:

-2.2*4=-8.8

5 0
3 years ago
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