Four numbers are written in a row. the average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. what is the average of the first and last of the numbers?
will give brainliest

(a) 24. (b) 25. (c) 26. (d) 27. (e) 28.

Answers

Answer 1

Using the 3 given means, we can see that the mean of the first and last digits is 25, so the correct option is b.

What is the average of the last two numbers?

We have 4 numbers:

a, b, c, d.

We know that:

(a + b)/2 = 21(b + c)/2 = 26(c + d)/2 = 30

And we want to get

(a + d)/2

We can write this as:

(a + b)/2 - (b + c)/2 + (c + d)/2 = 21 - 26 + 30 = 25

The correct option is b.

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Related Questions

Select the correct answer. What is l-14l ? A. B. C. D. E.

Answers

Answer:

A

Step-by-step explanation:

The radius of a circle is 3 5/12 inches
What is the diameter of the circle?

Answers

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

3 5/12 = 41/12

41/12 * 2 = 82/12 = 6 5/6

Answer: 6 5/12

Step-by-step explanation: i just took the k12 test and this is the corret answer

Thank you please help me thank you please help me I am stuck on this problem and its really important.

Answers

Answer:

the order is 30,60,90,120

Step-by-step explanation:

its ten times 3 then u just keep adding the same amount every ten.

Please guys I need this answer ASAP Two functions are shown below.
Function 1 y= -4/7x — 4

Which function is less steep and what is that slope?
A.
Function 1 and the slope is
-4/7

B.
Function 1 and the slope is
-4

C.
Function 2 and the slope is
-3/5

D.
Function 2 and the slope is
2

Answers

Answer:  Choice A

Function 1 and the slope is -4/7

=================================================

Explanation:

The slope of y = mx+b is m, which is the number to the left of x.

For function 1

y = (-4/7)x - 4

the slope here is m = -4/7 = -0.57 approximately

Let's use the slope formula to find the slope of function 2 given by the table of values.

Pick any two rows from that table. I'll pick the first two rows.

m = (y2-y1)/(x2 - x1)

m = (0.8 - 2)/(2 - 0)

m = -0.60

Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.

Write an expression the represents the statement "Add 9 and 3, then multiply by 6"

PLEASE ANSWERRRR


15 point

Answers

Answer:

6(9+3)

Explanation:

Add 9 and 3 which is 9 + 3

THEN multiply by 6 which is 6(9 + 3)

I put parentheses because it's sayings to add first and then multiply!

Calculate the area of the shaded sector. PQ = 2.8 in

Answers

Answer:A= 21 cm2

                = 3.25 in2

                = 3 in2

Step-by-step explanation:

2.8 in = 7.112 cm

          = 7 cm

A        =  [tex]\pi[/tex][tex]r^{2}[/tex] * [tex]\frac{49}{360}[/tex]

          = 22/7*7*7*49/360

          = 20.96

          = 21 cm2

16x-24 in equivalent expression

Answers

The answer should be 8(2x-3)
16x-24 in equivalent expression is 8(2x-3)

How many outcomes will there be for rolling a six-sided number cube three times?

Answers

Answer:

216

Step-by-step explanation:

6 * 6*6 = 216 possible outcomes

The number of outcomes for a rolling of cube three times = 216 outcomes

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

When rolling a six-sided number cube three times, we can calculate the total number of outcomes by considering the number of possible outcomes for each individual roll

Now , For each roll of the number cube, there are six possible outcomes

Since we are rolling the cube three times, we need to multiply the number of outcomes for each roll together:

Number of outcomes = 6 x 6 x 6 = 216

Hence , there will be 216 possible outcomes when rolling a six-sided number cube three times

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What is the approximate length of arc qr? round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters

Answers

The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

What will be the Arc?

The arc of the circle is defined as the product of the angle and the radius of the circle.

[tex]Arc=\theta \times r[/tex]

Now it is given in the question that

circle P, i.e. center is point P.

QS is a diameter with a length of 20 cm so radius =10 cm

Given that RP is the radius with

To find the length of arc QR =?

Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].

[tex]\angle QPR+\angle RPS=180[/tex]

[tex]\angle QPR+123=180[/tex]

[tex]\angle QPR=57^o[/tex]

[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]

Now the formula for finding the arc will be given by

[tex]Arc \ (QR)=\angle QPR\times r[/tex]

[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]

Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

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Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program.




Including his financial aid, what is Jamal’s estimated cost per year? $


Jamal’s family will contribute $21,000 each year. How much will Jamal need to contribute? $


Jamal has one year to save enough for his first year’s contributions. Complete each statement to show how much Jamal will need to save each month based on his current savings.


If Jamal currently has $0 in savings, he will need to save $

each month.

If Jamal currently has $1,000 in savings, he will need to save $

each month.

If Jamal currently has $2,000 in savings, he will need to save $

each month

Answers

Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.

If his family contributes $21,000, he will have to contribute $4,050.

If Jamal has $0 in savings, the amount to save each month is $337.50.

If Jamal has $1,000 in savings, the amount to save each month is $254.17.

If Jamal has $2,000 in savings, the amount to save each month is $170.83.

What is Jamal's estimated cost?

= Cost per year of private university - Scholarships - Work study program

= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900

= 35,150 - 8,200 - 1,900

= $25,050

What amount will he contribute if his family contributes?

= Estimated cost - family contribution

= 25,050 - 21,000

= $4,050

What amount should Jamal save?

The amount that Jamal should save monthly can be found as:

= (Amount to contribute - Amount already saved ) / Number of months in year

If Jamal has $0, he should save:

= (4,050 - 0) / 12

= $337.50

If Jamal has $1,000:

= (4,050 - 1,000) / 12

= $254.17

If Jamal has $2,000:
= (4,050 - 2,000) / 12

= $170.83

Find out more on the cost of college at https://brainly.com/question/9299811.

Help me solve this problem, will give brainliest

Answers

Answer:

c

Step-by-step explanation:

The answer is c
Have fun and the other person answered first give him brainliest

4x-6y+3=0

please answer and show work ASAP!!!

Answers

Step-by-step explanation:

This question is not complete check well

i suck at these so like…

Answers

x g(x)

-2 1/36

-1 1/6

0 1

1 6

2 36

~

what is the value of 30-2(7+2)-1​

Answers

Answer:

48 :)

Step-by-step explanation:

Answer:

11 I'm pretty sure

Step-by-step explanation:

You are making a canvas frame for a painting using stretcher bars. The rectangular painting will be 10 inches long and 8 inches wide. Using a ruler, how can you be certain that the corners of the frame are 90°​

Answers

Answer:

make sure it’s acute

Step-by-step explanation:

since when you measure 90°​ the angle has to be acute

A swim team member performs a dive from a 14-foot high springboard. Her path is represented by the equation LaTeX: h\left(t\right)=-0.875t^2+5.25t+14h ( t ) = − 0.875 t 2 + 5.25 t + 14, where t is time in seconds and h is the height above the surface of the water. She needs to finish her flip no later than 5 feet above the surface of the water in order to prepare for the splash. What time does this happen? Round to the nearest tenth of a second.

Answers

Answer:

7.4secs

Step-by-step explanation:

If the path of a swim team member is modeled by the equation

h(t) = -0.875t²+5.25t+14

where t is time in seconds and h is the height above the surface of the water

If she need to finish in no later than 5feet above the surface, the expression will become:

-0.875t²+5.25t+14≤5

-0.875t²+5.25t+14-5≤0

-0.875t²+5.25t+9≤0

Rewriting using fraction

-7/8t²+21/9t+9≤0

To get the time that this happens we will need to factorize the resulting expression above;

On factorising

Find the roots of the equation using the formulas

t = 3+3√105/7

t = 3+ 3(10.25)/7

t = 3 + (30.75)/7

t = 3 + 4.393

t = 7.393

t = 7.4secs

Hence this happens at t = 7.4secs

Answer:

The time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Step-by-step explanation:

You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:

5= -0.875*t²+5.25*t+14

A quadratic equation has the general form:

a*x² + b*x +c= 0

where a, b and c are known values ​​and a cannot be 0.

Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:

 -0.875*t²+5.25*t+14-5=0

  -0.875*t²+5.25*t+9=0

The roots of a quadratic equation are the values ​​of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case, solving the equation is calculating the values ​​of t, that is, you find the time when the swim team member is 5 feet above the water surface.

Being a= -0.875, b=5.25 and c= 9, then

[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]

[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]

[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]

[tex]\frac{-5.25+-7.685}{-1.75}[/tex]

Then:

[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]

Solving for t1:

[tex]t1=\frac{2.435}{-1.75}[/tex]

t1= -1.39 ≅ -1.4

Solving for t2:

[tex]t2=\frac{-12.935}{-1.75}[/tex]

t2= 7.39 ≅ 7.4

Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.

If a cup of coffee is 275 mL, what is the volume of 4 cups of coffee, in milliliters?

Answers

Answer:

1100 milliliters.

Step-by-step explanation:

First, separate the numbers 275, it will be 200, 70, and 5.

Second, multiply 4x200, it equals 800

Third, multiply 4x70, it equals 280

Fourth, multiply 4x5, it equals 20.

Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.

The value of B is __
The value of a

Answers

Answer:

The value of B is 11 times the value of a.

Step-by-step explanation:

a =|   2    |   4   |    7    |   10    |

b =|  22  |   44  |    77  |   110   |

22          44       77          110

÷2          ÷4        ÷7         ÷10

---------   --------   -------     ---------

11            11           11           11

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

from the table we can see that

the value of b is 11 times the value of a

What is the percentage tax charged if a calculator which cost $4000 is sold for $5000 after tax ?

Answers

Answer:

25%

Step-by-step explanation:

find the differences between original price $4000 and the altered price $5000.

$5000 - $4000 = $1000

to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).

1000/4000 x 100

= 25%

so you will get 25 %

absolute value negative 4 ​

Answers

Answer:

4

Step-by-step explanation:

absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.

Answer:

My guess 4

Step-by-step explanation:

i used to do this stuff but i thinks its 4

to make 1 dinner roll, 1/15 cups of flour is used. How much flour is used to make 48 dinner rolls?

Answers

it would 45 subtracted by 75

Which set of angles are complementary in this diagram?

Answers

Answer:

ECF and BCF (option 3)

Step-by-step explanation:

Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.

Hopefully this helps - let me know if you have any questions!

If a number is a perfect square, then it has only 3 factors.
TRUE OR FALSE

Answers

Answer:

False.

Step-by-step explanation:

Think of the number 12 which is 2 * 2 * 3.

Now square 12 to 144.

144 is a perfect square since it is the square of 12.

144 = 2 * 2 * 2 * 2 * 3 * 3

What are the factors of 144?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

That is a lot more than 3 factors.


The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular

Answers

Answer:

angle

Step-by-step explanation:

A N G L E

A N S W E R

Solve using substitution.

–6x + 7y = –6
6x − 8y = 12

Answers

Answer:

Step-by-step explanation:

- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)

6x - 8y = 12 ........ (2)

(1) ------> (2)

( 7y + 6 ) - 8y = 12

- y + 6 = 12

y = - 6 ------> (1)

- 6x + 7( - 6 ) = - 6

6x = - 42 + 6

x = - 6

( - 6 , - 6 )

ANSWER:

(X= -6, Y= -6)

chloe wants to ride her bicycle 34.1 miles this week. She has already ridden 14 miles if she rides for 3 more days, write and solve an equation which can be used to determin m, the avergae number of miles she would have to ride each day to meet her goal.

Answers

Step-by-step explanation:

I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.

x = the average number of miles to ride each of the 3 days

x = (34.1 - 14)/3

the solution is

x = 20.1/3 = 6.7 miles

Estimate. Include commas if the answer is made of more than three digits.
56 x 324.

Answers

Answer:

19,200

Step-by-step explanation:

round 56 to 60 and round 324 to 320 then multiply the two numbers

For each value of w, determine whether it is a solution to w-38<11.

Answers

Answer:

No

Yes

No

Yes

Step-by-step explanation:

52-38<11

53-38<11

Both of these are no because they are greater than 11

Answer:

No

Yes

No

Yes

Step-by-step explanation:

put in the values instead of w and check if it is correct

[tex]52-38=14[/tex] which is not less than 11 so no

[tex]44-38=6[/tex] which is less than 11 so yes

[tex]53-38=15[/tex] which is not less than 11 so no

[tex]48-38=10[/tex] which is less than 11 so yes

Use the Triangle Inequality to determine if it is possible to draw a triangle with sides: 16 ft, 17 ft, 20 ft

Answers

Answer:

It is possible.

Step-by-step explanation:

Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem


What are the solutions of the quadratic equation below ?
x^2-8x+11


Answers

Here’s the answer hope it helps.

Answer:

x = 4 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

to find the solutions equate the quadratic to zero

x² - 8x + 11 = 0 ( subtract 11 from both sides )

x² - 8x = - 11

solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 11 + 16

(x - 4)² = 5 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{5}[/tex]

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