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3 years ago

One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number

Mathematics

1 answer:

SVEN [57.7K]3 years ago

6 0

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

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The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure?

the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a a triangular prism]

[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³

4 0

3 years ago

Read 2 more answers

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25

3 0

3 years ago

Simplify these expressions

Xelga [282]

$\frac{10a}{2} \\ \\ 5a \\ \\$

The answer is: 5a

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$\frac{36b}{6b} \\ \\ \frac{36}{6} \\ \\ 6 \\ \\$

The answer is: 6

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$\frac{16c^2}{8c} \\ \\ 2c^{2-1} \\ \\ 2c^1 \\ \\ 2c \\ \\$

The answer is: 2c

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$\frac{18ab^2}{2b} \\ \\ 9ab^{2-1} \\ \\ 9ab^1 \\ \\ 9ab \\ \\$

The answer is: 9ab

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$\frac{40b^2c^2}{5bc} \\ \\ 8b^{2-1} c^{2-1} \\ \\ 8b^1c^1 \\ \\ 8bc^1 \\ \\ 8bc \\ \\$

The answer is: 8bc

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The answer is: 9ac

6 0

4 years ago

She had $3000. She spend 40% of the money in smart TV and 15% of the remainder on Game Set. (a) What % of the money had she left

Dovator [93]

Answer: She had left 54% of the money which is $1620.

Step-by-step explanation:

40% of $3000 = $1200

15% of $1200 = $180

$3000 - ($1200 + $180)

$3000 - $1380 = $1620

$1620 is the money she had left.

$1620 is 54% of $3000

She had 54% left of the money.

Hope that helped~!

4 0

3 years ago

Ewans flight is schheduled to travel 1,750 in 3.5 hours . at what rate does it travel per hour

Karo-lina-s [1.5K]

Answer:

It travel at the rate of 500 miles per hour.

Step-by-step explanation:

Given:

Ewans flight is scheduled to travel 1,750 miles in 3.5 hours.

Now, to find the rate it travel per hour.

Distance = 1,750 miles.

Time = 3.5 hours.

So, to get the rate we put formula:

$Speed=\frac{distance}{time}$

$Speed=\frac{1750\ miles}{3.5\ hours}$

$Speed=500\ miles\ per\ hour$

Therefore, it travel at the rate of 500 miles per hour.

7 0

3 years ago