MATHEMATICS MIDDLE SCHOOL

Find three consecutive integers whose sum is 60.

Answers

Answer 1
Answer:

Answer: 19, 20, and 21

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 60 and it asks us to find the integers.

Three consecutive integers can be represented as followed.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our 3 consecutive integers is 60, we can set up an equation.

X + X + 1 + X + 2 = 60

3x + 3 = 60

      -3     -3

3x = 57

÷ 3  ÷ 3

X = 19

X + 1 = 20

X + 2 = 21

Therefore, our three consecutive integers are 19, 20, and 21.
Answer 2
Answer:

60 = x + x + 1 + x + 2

60 = 3x + 3

-3

57 = 3x

/3

19 = x

The 3 integers are: 19, 20, and 21.

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Can you guys help me with this question

9000 equals to what tens

Answers

9000 equals to 900 tens. ( 1. 9×10=90,
2. 90×10=900,
3. 900×10=9,000. )

Mrs. Chang has 24 students in her class, 8 of them are boys. What is the ratio girls to boys?A. 2:1
B. 2:3
C. 1:3
D. 1:4

Answers

24 - 8 = 16
There are 16 girls in the class. 
The ratio of girls to boys is therefore 16:8 
16 ÷ 8 = 2
8 ÷ 8 = 1

16:8 simplified is 2:1
The answer is A.

On which of the following lines does the point (7, 1) lie?A.) y = 5x + 4
B.) y = -x + 8
C.) y = x - 10
D.) y = -4x + 3

Answers

we have that
the point (7, 1)

case A.) y = 5x + 4
if the point (7, 1) lie to the line
so
for x=7 the value of y must be  1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line

the answer is the option
 B.) y = -x + 8

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $273.00. What was it worth a year ago?

Answers

$210
because if it rose 30%, it's now 130% of what is used to be
or (what it used to be) ×1.3
so do the reverse and divide the new cost by 1.3
so 273÷1.3 which is 210

Answer:

210

Step-by-step explanation:

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Answers

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

Answer:

-3/2

Step-by-step explanation:

How are the values of the 3s in 33,000 related

Answers

They all are greater than 1,000. Like the first 3 equals 30,000. And the second 3 equals 3,000.
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