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s344n2d4d5 [400]
3 years ago
5

El exceso de un número sobre 20 es igual a las tres cuartas partes del mismo número. ¿Cuál es el número?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

The number is 80

Step-by-step explanation:

The question in English is

The excess of one number over 20 equals three quarters of the same number. What is the number?

Let

x ------> the number

we know that

The linear equation that represent this situation is

x-20=\frac{3}{4}x

Solve for x

x-\frac{3}{4}x=20

\frac{1}{4}x=20

x=80

therefore

The number is 80

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Charlotte is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line
Jobisdone [24]

Answer:

B

Step-by-step explanation:

Angle PRQ = 75°

Because they are alternate angles

7 0
3 years ago
A car travels 60 miles per hour, and a plane travels 15 miles per minute. How far does the car travel while the plane travels 60
lara [203]

Answer:

The car travels 40 miles while the plane travels 600 miles.

Step-by-step explanation:

This problem can be solved by rules of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, all the measures have direct relationship.

The first step is knowing how much the plane travels in a hour.

The problem states that in a minute, the plane travels 15 miles. How much does it travel in 60 minutes.

1 minute - 15 miles

60 minutes - x miles

x = 60*15

x = 900 miles

In a hour, the plane travels 900 miles.

Then we need to know how long it takes for the plane to travel 600 miles.

1 hour - 900 miles

x hours - 600 miles

900x = 600

x = \frac{600}{900}

x = 0.667 hours = 40 minutes.

Finally, we discover how much the car travels in 40 minutes.

The problem states that in a hour(60 minutes), the car travels 60 miles, so:

60 miles - 60 minutes

x miles - 40 minutes

60x = 2400

x = \frac{2400}{60}

x = 40 miles.

The car travels 40 miles while the plane travels 600 miles.

3 0
4 years ago
Pls show work/steps for both questions
aleksklad [387]

Answer:

Step-by-step explanation:

\frac{-5+2 \iota}{1+7 \iota}  \times \frac{1-7 \iota}{1-7 \iota} \\=\frac{-5+35 \iota+2 \iota-14 \iota^2}{1-49 \iota^2} \\=\frac{-5+37 \iota-14(-1)}{1-49(-1)} \\=\frac{9+37 \iota}{50} \\=\frac{9}{50} +\frac{37}{50}  \iota

2.

domain is x²≤36

|x|≤6

-6≤x≤6

or [-6,6]

3 0
3 years ago
THIS IS WORTH 30 POINTS
Maksim231197 [3]
It will be at (4,-6)
3 0
3 years ago
Read 2 more answers
Q varies jointly as r and s. if q=2.4,when r =0.6and s=0.8,find q when r =1.6and s=.01.​
Firlakuza [10]

Answer:

q=2.61

Step-by-step explanation:

I think it's 2.61 because r+s=1.61. that plus 1 is 2.61

6 0
3 years ago
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