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Mashcka [7]
3 years ago
13

Which numbers are the extremes of the proportion shown below

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

3 and 8 are the extremes of the given proportion (first listed answer option)

Step-by-step explanation:

In a proportion of the type:

\frac{A}{B} =\frac{C}{D}

the values "A" and "D" are called "extremes of the proportion, while "B" and "C" are called the "means" of the proportion.

This comes from writing it as:   A : B = C : D

where we observe that A and D are the more "extreme" values being further away from the equal sign than the quantities B and C which are more towards the middle (center of the proportion).

So in your case, the numbers 3 and 8 are the extremes

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Solve the system of equations.<br> 5y - 4x = -7<br> 2y + 4x = 14<br><br><br> X =<br> Y =
nadezda [96]

Answer:

5y + 2y - 4x + 4x = -7 +14

7y = 7

y = 1

2(1) + 4x = 14

4x = 12

x = 3

Step-by-step explanation:

Using the process of elimination

Add both equations. The 4x will be eliminated since one is positive and one is negative. The equation is left with only the y variable and the constant.

When y is found, input it into the second equation to find x.

8 0
3 years ago
What is the answer?
Vinvika [58]

Answer:

1:200

5.6 cm^2 : y (as actual area)

y = 200 mutifly 5.6 cm^2

y= 1120 cm^2

We know 1m =100cm

so, 1m^2 =100cm x 100 cm = 1000cm^2

y= 1120 m^2/ 100x100

 = 0.112 m^2

Step-by-step explanation:

8 0
3 years ago
Which of the following is a factor of 7x2 − 12x − 4
nasty-shy [4]
(7x + 2)(x - 2) are the factors
4 0
4 years ago
What number needs to be added to 5 and 3 so that the ratio of the first number to
Dimas [21]
4 can be added to 5, and 3 can be added to 3. This should then give you a ratio of 9:6, which reduces to 3:2!
5 0
4 years ago
A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would ha
klemol [59]

Answer:

a) \frac{12+n}{15+n}=0.85

b) She needs 5 consecutive free throws in order to raise her percent to

85 %

Step-by-step explanation:

We know that a basketball player made 12 out of 15 free throws she attempted.

We can calculate its percent of successful free throws as :

\frac{12}{15}=0.8

(0.8).(100)=80 %

Now, If she wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85 % we can write :

\frac{12+n}{15+n}=0.85 (I)

In the equation (I) ''n'' represents the number of consecutive free throws she must have to raise the percent to 85 %.

We answer

a)  \frac{12+n}{15+n}=0.85

b) Now we need to solve the equation (I) :

\frac{12+n}{15+n}=0.85 ⇒

12+n=(15+n).(0.85) ⇒

12+n=12.75+0.85n ⇒

0.15n=0.75 ⇒ n=\frac{0.75}{0.15}=5

We found out that she needs 5 consecutive free throws to raise the percent of successful free throws to 85 %.

We can verify by replacing the value of ''n'' in the equation (I) ⇒

\frac{12+5}{15+5}=0.85  ⇒  \frac{17}{20}=0.85 ⇒ 0.85=0.85

6 0
3 years ago
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