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valentinak56 [21]

2 years ago

5

An elevator has a maximum weight of 300 pounds. Each pallet of boxes weighs 25 pounds. Which of the following number lines best

represents the solution to the inequality?

1 answer:

iren2701 [21]2 years ago

4 0

Answer: C.

Step-by-step explanation:

1. Go

2.Stop

3. Win

Sorry if you didn't understand, we do math here differently in Albania ^^

yes

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Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4

Damm [24]

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

$x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)$

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

8 0

3 years ago

Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How

mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

$D=C+4...(1)$

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be $D+3$ and $C+3$ respectively.

We can represent this information in an equation as:

$D+3+C+3=13...(2)$

From equation (1), we will get:

$C=D-4$

Upon substituting this value in equation (2), we will get:

$D+3+D-4+3=13$

Combine like terms:

$2D+2=13$

$2D+2-2=13-2$

$2D=11$

$\frac{2D}{2}=\frac{11}{2}$

$D=5.5$

Therefore, Robert's dog is 5.5 years old right now.

3 0

3 years ago

Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 444 doses, and each measles vacci

nataly862011 [7]

Answer:

37 polio vaccinations and 23 measles vaccination.

Step-by-step explanation:

Let the number of polio vaccination given=x

Let the number of measles vaccination given=y

Dr. Potter gave a total of 60 vaccinations

x+y=60

Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.

4x+2y=184

To find the values of x and y, we solve the two equations simultaneously.

x+y=60 (1)

4x+2y=184 (2)

From (1), x=60-y

Substitute x=60-y into equation 2.

4x+2y=184

4(60-y)+2y=184

240-4y+2y=184

240-184=4y-2y

56=2y

Divode both sides by 2

y=23

Recall earlier that x=60-y

x=60-23=37

Dr Potter gave 37 polio vaccinations and 23 measles vaccination.

6 0

3 years ago

Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnso

amm1812

Answer:

6,845 cans

Step-by-step explanation:

Total of 29,294 cans of food to donate to a local food bank

Students at Johnson Elementary collected 9,987 cans of food

Students at Lincoln Elementary School collected 12,462 cans of food.

Total number of food can collected =

Food cans at Johnson Elementary + Food cans at Lincoln Elementary +

Food cans at Richardson Elementary

The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )

= 29,294 cans - (9,987 + 12,462) cans

= 29,294 cans - 22,449 cans

= 6,845 cans

Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans

4 0

3 years ago

Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was

KonstantinChe [14]

Answer:

Brian's average speed: 14.73 mile/hour

The traveled distance by skiing he estimated: 11.0475 miles.

As the information provided in table, the time he spent for skiing is 0.75

=> The distance Brian traveled by skiing: 14.73 x 0.75 = 11.0475 (miles)

=> Brian's product is correct.

=> Rounding to the nearest whole number => 11.0475 = 11 (miles)

Rounding the Brian's average speed to the nearest whole number:

=> 14.73 = 15 mile/hour

Round the activity time to the nearest whole number:

=> T = 3 + 1.45 + 1.2 + 0.75 = 6.4 = 6 (hour)

Hope this helps!

:)

5 0

3 years ago

Read 2 more answers