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Allushta [10]
3 years ago
5

Kelly drove 440 miles in 8 hours. Alberto drove 468 miles in 9 hours. Both drove at a constant speed. Who drove the farthest in

1 hour? How many miles further?
Mathematics
2 answers:
myrzilka [38]3 years ago
4 0
Kelly drove 3 miles further
Alenkinab [10]3 years ago
3 0

Answer:

kelly drove 55 miles in one hour because if you divide 440 by 8 you get 55 and alberto drove 52 so kelly drove the farthest and she drove 3 mils further

Step-by-step explanation:

You might be interested in
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
Sarah opens a savings account that has a 2.75% annual interest rate, compounded monthly. She deposits $500 into the account. How
qaws [65]

Answer: $754.94

Step-by-step explanation:

Just took the quiz got 100%

3 0
4 years ago
Please help idk thisssss
Alekssandra [29.7K]
ANSWER
0.073 \% = 0.00073


EXPLANATION

Recall that,

\% =  \frac{1}{100}


That is why
100\%
is equivalent to
1.





This implies that,


0.073\% = 0.073 \times  \frac{1}{100}






This is the same as,


0.073\% = \frac{0.073}{100}


When we are dividing by
100
we move the decimal point backwards two times.


This implies that,

0.073\% = 0.00073


6 0
4 years ago
Read 2 more answers
the area of a mirror is 225 square inches and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 16
Tems11 [23]
A = 225 in^2
W = 13.75

15x16 = 240 in^2

240/13.75 = 17.45 in

the mirror would not fit in a space that is 15 by 16 inches since its approximately 13 by 17 inches
6 0
3 years ago
together,sarah's two cats have the same mass as her dog,11 kg.the mass of one cat is 1500 g greater than the mass of the other.
Alika [10]
Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped



6 0
3 years ago
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