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3 years ago

7

A train traveled at an average speed of 45 miles per hour for 40 minutes, and at an average speed of 60 miles per hour for 1 hou

r. What was the average speed of the train, in miles per hour, for the trip?
a.) 50, b.) 52.5, c.) 54, d.) 57,5, e.) 60

1 answer:

KIM [24]3 years ago

8 0

Answer:

c

Step-by-step explanation:

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Graph g(x) = -3(x + 2)2 + 2. Compare the graph to the graph of f(x) = x2. Give me five points that you use to graph g(x). Then d

PolarNik [594]

The answer would be -20 because you add and subtract your numbers to get 20

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3 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

5 0

3 years ago

Find the least common multiple of 7,9 and 21

lawyer [7]

Free LCM Calculator determines the least common multiple (LCM) between 9 and 21 the smallest integer that is 63 that is divisible by both numbers. Least Common Multiple (LCM) of 9 and 21 is 63.
...
Prime Factorization of 21.
3 21
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3 years ago

I WILL GIVE YOU BRAINLIST IF YOU ARE CORRECT! THIS IS FOR 30 POINTS!

Maksim231197 [3]

Answer:If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Step-by-step explanation:

Explanation:

Let the number of tiles be

x

At the first shop: Cost =

$

0.79

×

x

+

$

24

=

0.79

x

+

24

At the second shop: Cost =

$

1.19

×

x

=

1.19

x

If the cost is the same:

1.19

x

=

0.79

x

+

24

←

solve for x

1.19

x

−

0.79

x

=

24

0.4

x

=

24

x

=

24

0.4

x

=

60

tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

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3 years ago

A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each

liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = $\frac{40}{100} (50)$

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = $\frac{60}{100} (50)$

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0

3 years ago