1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
monitta
3 years ago
7

Complete the page for 15 points.

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

You might be interested in
maurice bought a car costing £8248. he paid a deposit of £1975 and 6 monthly instalments of £511. estimate the amount maurice st
NARA [144]

Hello :D

£8000 - £2000 = £6000

6 x 500 = £3000

£6000 - £3000 = £3000

6 0
3 years ago
Find the fifth term of the binomial expansion.<br> (x2+y5) ^8
OlgaM077 [116]

Answer:

The fifth term of the binomial expansion

T_{5} = 70 x^{8} y^{20}

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that the binomial expansion

     ( x² + y⁵ )⁸

we know that

T_{r+1} = n_{C_{r} } a^{r} x^{n-r} ...(i)

<u><em>Step:2</em></u>

put r = 4  

T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}

T_{5} = 70 x^{8} y^{20}

<u><em>Final answer:</em></u>-

The fifth term of the binomial expansion

T_{5} = 70 x^{8} y^{20}

6 0
3 years ago
Solve. x2 – 10x + 21 &lt; 0
Marysya12 [62]

Answer:

(3,7)

Step-by-step explanation:

4 0
3 years ago
Devon’s free-throw average for basketball is 60%. Predict how many times in the next 50 tries he will make a free throw. 
Maru [420]

Answer:

30

Step-by-step explanation:

3 0
2 years ago
Use your answer from Question #5 and the coordinates of P to find the coordinates of P’. Explain your work, including how the sc
Tresset [83]

Answer:

Scale factor is used to find the coordinates depending upon whether the scale factor value is less than one or more than one.

Step-by-step explanation:

A scale factor is a number which scales, or increases, some amount. In the condition y = Cx, C is the scale factor for x. C is likewise the coefficient of x, and might be known as the steady of proportionality of y to x.

An object is augmented if the scale factor is more noteworthy than 1. An article is decreased if the scale factor is a division, under 1. To discover the expanded picture, we initially should know the directions of our unique picture. At that point we basically increase the arrange by the scale factor to discover the widened picture.

5 0
2 years ago
Other questions:
  • Need help. what is 2÷6ft 8in
    8·1 answer
  • Help me please it’s practice
    8·1 answer
  • What is the remainder when 15,908 is divided by 13? (Input numeric values only) (1 point)
    9·2 answers
  • A right cylinder has a radius of 5 and a height of 9. What is its surface area?​
    15·1 answer
  • Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of
    14·1 answer
  • The spine of a science textbook is 0.50 inches. How many science textbooks can be placed standing up on a shelf that is 12 inche
    9·1 answer
  • Equivalent fractions, please help​
    7·2 answers
  • Help me answer this question about congruent triangles. 50 points available.
    12·1 answer
  • Write the contrapositive and the converse of the following conditional
    10·2 answers
  • What does 17/10x 10/17 equal
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!