- Бу - 10x = 45<br>-Зу + 10x = -5<br>x=<br>y=

The sum of two numbers is 53 and the difference is 27. What are the numbers?

ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

x + y = 53

Equation 2, difference of the numbers:

x - y = 25

System of equations:

x + y = 53

x - y = 25

----------------

2x = 78

x = 39

Solve for y:

39 + y = 53

y = 14

The numbers are 39 and 14.

8 0

3 years ago

A parking lot covers 32,420 square feet .what id its area to the nearest thousand feet

Mademuasel [1]

Answer: 32,000

Step-by-step explanation:

the thousands place (1000) is the fourth number to the left of the decimal, so round that one either up or down based on the number just one spot closer to the decimal, in this case, the hundreds place (100).

so we have 32,420

we can ignore the numbers that are going to become zeros as a result of the rounding . .

32,400

let's round 32,XXX either up or down based on the value in the hundreds place. if that value is 5 or greater, than we round up. if it is less than 5, than we round down.

4 is in the hundreds place, so we round down

32,000 is the answer

Hope this helps!!! Good luck!!! ;)

6 0

3 years ago

In the figure below, lines L and M are parallel and line AB = line BC = line AC. What is the measure of the exterior angle

Kryger [21]

Answer:

120º

Step-by-step explanation:

angles of an equilateral triangle are equal so..

180 ÷ 3 = 60º

to get the exterior m⦣C

180 - interior m⦣C = exterior m⦣C

180º - 60º = 120º

6 0

3 years ago

Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have

castortr0y [4]

Answer:

she can make 6 baskets with the bars of lavender soap 4 baskets with the bottles of shampoo and 7 baskets with the tubes of hand lotion

Step-by-step explanation:

5 0

3 years ago

A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla

nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = $P(A)= \frac{13}{100}=0.13$

The probability that athlete is a basketball player = $P(B)= \frac{52}{100}=0.52$

The probability that athlete is both basket ball player and football player = $P(A\cap B) = \frac{9}{100}=0.09$

We have to find the probability that an athlete chosen is either a football player or a basketball player $P(A\cup B)$ .

Now we know that;

$P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%$

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

5 0

3 years ago

- Бу - 10x = 45-Зу + 10x = -5x=y=​

- Бу - 10x = 45-Зу + 10x = -5x=y=