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Darina [25.2K]
3 years ago
11

Factorise this as far as possible 4p+pq-5pr

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

p(4 + q - r)

Step-by-step explanation:

4p+pq-5pr   (factorize p out of each term)

= p(4 + q - r)  (answer)

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A model car uses the scale 1:43. The actual length of a car is 17.2 feet. What is the length of the model car?
faust18 [17]
17.2/43= 0.4

Since the scale is 1:43, you would just divide the actual length by 43.

0.4:17.2 is congruent to 1:43.

43/17.2= 2.5

1/.04= 2.5

I hope this helps!
~kaikers
7 0
3 years ago
Ally ran 5 miles in 36 minutes. Sami ran 6 miles. If ally ran at a faster rate then Sami, in how many minutes could Sami have ru
laiz [17]
I believe the answer would be 6 minutes
5 0
3 years ago
The container that holds the water for the football team is 4/9 full. After pouring in 4
Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold <em>x.</em>

<em> </em>Then, based on the information given in the problem, you can write the following expression:

\frac{4}{9}x+4=\frac{2}{3}x

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons

5 0
3 years ago
If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and
anyanavicka [17]

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

5 0
2 years ago
Researchers measured the percent body fat and the preferred amount of salt (percent weight/volume) for several children. Here ar
Anon25 [30]

Answer: b) τ = 0.3

Step-by-step explanation:

Given the data :

Amount of salt (x)____% body fat(y)

0.2 _______________20

0.3 _______________30

0.4 _______________22

0.5 _______________30

0.7 _______________38

0.9 _______________23

1.1 ________________30

The correlation Coefficient as obtained from the online pearson correlation Coefficient calculator is 0.3281 = 0.3 (to one decimal place) which implies that a weak positive correlation or relationship exists between the preferred amount of salt taken to the percentage body weight of an individual. This is because the value is positive and closer to 0 than 1. The closer the weaker the degree of correlation. With positive values implying a positive relationship (that is an increase in variable A leads to a corresponding increase in B and vice-versa).

4 0
3 years ago
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