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asambeis [7]
3 years ago
15

Which expression is equivalent to the fraction below?

Mathematics
1 answer:
iragen [17]3 years ago
6 0

5/8=expression is equivalent to

5 8

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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
Monica [59]

Answer:

PQ = 42

Step-by-step explanation:

Given

PT = 3x + 3

TQ = 5x - 9

Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

PT = TQ

This implies

3x + 3 = 5x - 9

Solve for x

3x - 5x = -3 - 9

-2x = -12

x = -12/-2

x = 6

Length PQ can then be calculated using:

PQ = PT + TQ

PQ = 3x +3 + 5x -9

Collect Like Terms

PQ = 3x+ 5x +3  -9

PQ = 8x -6

Substitute 6 for x

PQ = 8 * 6 - 6

PQ = 48 - 6

PQ = 42

6 0
3 years ago
Give the domain and range of the relation.
Alex_Xolod [135]

Answer:

Please check the explanation.

Step-by-step explanation:

Finding Domain:

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.

And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.

Thus, the domain is:

D: {-2, -1, 0, 1}       or    D: −2 ≤ x ≤ 1

Finding Range:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined

From the given graph, it is clear that the starting y-value of the line is y=0, the closed circle at the starting value of y = 0 means the y-value y=0 is included.

And the line ends at the y-value y=2 with a closed circle, meaning the ending value of y=2 is also included.

Thus, the range is:

R: {0, 1, 2}   or    R: 0 ≤ y ≤ 2

7 0
3 years ago
In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the n
Nadusha1986 [10]

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number

6 0
2 years ago
Help please don’t answer if you don’t know also I’ll give brainliest
egoroff_w [7]

Answer:

10x=4

x=4/10

x=2/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The book fair is this week, and there's a special deal for teachers. For every 5 hardcover
zhuklara [117]

Answer:14

Step-by-step explanation:

6 0
2 years ago
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