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Sati [7]
3 years ago
11

Boris runs 9 miles in 57 minutes.

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0
The answer is 0.16...
kenny6666 [7]3 years ago
3 0

Answer:

0.16

Step-by-step explanation:

Speed= 9 miles/57 minuets=(9/57)

Now we want to figure out how many miles Boris runs per minuet

9/57= 0.15

Round to the nearest hundredth and it's 0.16.

Hope this helps!

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Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
erma4kov [3.2K]

Answer:

The new rate would be  3.75%

Step-by-step explanation:

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

7 0
3 years ago
Please answer<br><br>(7*2)^3=?
olga55 [171]
( 7 x 2 )^3 is 2,744
7 0
3 years ago
Which transformation would create an image and a pre image that are similar figures?
Crank

Answer:

Dilation

Step-by-step explanation:

A dilation changes the size of a figure by enlarging the figure of making the figure smaller.  The sides will be proportional and the angles will be congruent making the figures similar.

4 0
2 years ago
Find the volume of the following solid:
Nadya [2.5K]

Answer:

390cm³

Step-by-step explanation:

IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.

All you need to do is solve for the volume of each prism and add them up together.

The formula to use to get the volume of a rectangular prism is:

V=whl

Where:

V = Volume

w = width

l = length

h = height

Let's get the first one and double it because you have rectangular prisms with the same dimensions:

V = wlh\\\\V= (5cm)(2cm)(12cm) = 120cm^3\\\\120cm^3 \times 2=240cm^3

Next we get the rectangular prism in the middle:

Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.

12cm - (5cm + 2cm)

12 cm - 7cm = 5cm

Then we plug it into the formula

V = wlh\\\\V= (5cm)(6cm)(5cm) = 150cm^3

Now that we have the volumes of all figures, just add them up together:

150cm³ + 240cm³ = 390cm³

4 0
3 years ago
Find an equation of the line passing through the point (-1,8) and parallel to the line joining the points (-3,4) (4,-1).
bulgar [2K]

Answer:

The equation of the line will be 7y=(-5x)+51

Step-by-step explanation:

If a line passes through two points (x,y) and (x',y') then slope of the line will be = \frac{y-y'}{x-x'}

Now we know the points are (-3,4) and (4,-1) then the slope of the line will be =\frac{4-(-1)}{(-3-4)}=\frac{5}{(-7)} =(-\frac{5}{7})

We know that two parallel lines have the same slope then a line which is passing through a point (-1,8)will be =( -\frac{5}{7})

Let the equation of the line is y=mx+c

Then by putting the value of x,y and m we can get the value of c.

8=(-\frac{5}{7})+c

c=8-\frac{5}{7} \\c=\frac{56-5}{7} =\frac{51}{7}

Then equation will be y=(-\frac{5}{7})x+\frac{51}{7}

7y=(-5x)+51


5 0
4 years ago
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