Finding changed average

Finding Changed Average

Answers

Answer 1

Answer:

15.

Step-by-step explanation:

The new average will be 11 + 4 = 15.

Answer 2

Answer: The overall average will increase by 4 from 11 to 15

Step-by-step explanation: If each of the six integers is increased by four, that will add 6×4 to the total.

The original average was based on six numbers totaling 66, then divided by 6 to get the average, 11.

So add 66 + 24 = 90

Divide 90/6 = 15. The new average.

That is 4 more than the original 11.


Related Questions

Can someone answer a-c please!

Answers

Okay

Here an example for factoring the zero

A. X^2+x -20=0

(X+3) (x-4)=0

X+3=0 X-4=0

X=-3 Or x= 4


Here an an example for quadratic form


X-2=0

Formula for quadratic form is

Ax^2 +bx +c =0

Discriminant =b^2 -4ac


0^2 -4(1)(-2)=8

So 8 is not perfect square


Here we a solution

X= -b+-√b^2-4ac/2a

X= -0+_ √0^2-4(1)(-2)/2(1)


X=-0+_ √8/2

X= +_2 √2/2

Cancel 2

+_ √2



And last question which one you prefer so you can choice any


Hopefully this help you :)


What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees

Answers

Answer: 106 degrees

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Can you pleease help ill mark as brainliest

Answers

Answer:

Step-by-step explanation:

to reflect an object in given line , measure the distance perpendicular to the line from each point and to the other side by line


Now let reflect

Here a picture

Hope this help you

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

Plz help meeee -28=n(-7)

Answers

Answer:

n=4

Step-by-step explanation:

-28 divided by -7 is 4

Answer:

4

Step-by-step explanation:

divide -7 on both sides

-28/-7=4

What is 10^4 in standard notation

Answers

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

ANSWER : 10,000

BECAUSE: 10 x 10 x 10 x 10 = 10,000

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.

Answers

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

Answer: 37

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

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?

1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Answers

Answer:

n=16 kg

c=44 kg

Step-by-step explanation:

Let

n=nuts at $2.50 per kg

c=cereal at $1 per kg

n+c=60 (1)

2.5n + c=1.40(60) (2)

From (1)

n=60-c

Substitute n=60-c into (2)

2.5n + c=1.40(60)

2.5(60-c) +c=84

150-2.5c+c=84

-1.5c=84-150

-1.5c= -66

Divide both sides by -1.5

c=44 kg

Substitute c=44 into (1)

n+c=60

n+44=60

n=60-44

=16

n=16 kg

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)

Answers

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

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

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

y - 1 = - 3( x + 1)

Hope this helps you

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain

Answers

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

What is Pythagoras Theorem?

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

https://brainly.com/question/17106915

#SPJ2

A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?

Answers

Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

please help with this too​

Answers

Answer:

Step-by-step explanation:

Garden roller is in the shape of cylinder.

So, one revolution =  Curved surface area of the cylinder

diameter  = 70 cm

radius = 70/2 = 35 cm

h = 100 cm

Curved surface area of the cylinder = 2πrh

                                                           = [tex]2*\frac{22}{7}*35*100[/tex]

                                                           = 22000 square cm

Area covered in 15 revolutions = 15 * 22000

                                                    = 330000 square cm

2) Coin

diameter = 22 mm

r = 22/2 = 11 mm

Volume of coin = 66 mm

πr²h = 66

[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch

The 15 minute breaks and
lunch do not count towards the 7 hours of training

At the end of the training there will be a 90 minute assessment.

Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.​

Answers

Answer:

Just use 2 days

Step-by-step explanation:

Train for 2

Break

Train for 2

Break

Lunch

Day 2:

Train for 2

Break

Lunch

Exams

One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!!

Answers

Let the total weight of the candy = x

We know the total weight is:

X = 3/20x + 1.2 + 3/5x+ 0.3

Simplify:

X= 3/20x + 1.2 + 12/20x + 0.3

X = 15/20x + 1.5

Subtract 15/20x from both sides:

5/20x = 1.5

Divide both sides by 5/20:

X = 1.5 / 5/20

X = 6

Total = 6 pounds.

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? ____ gal

Answers

Answer:

Step-by-step explanation:

Refer https://brainly.com/question/17122506

Convert 18 ft to yards

Answers

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

Please help me on this question

Answers

Answer:

x = [tex]\frac{k(a+r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )

a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )

k(a + r) = 7x ( divide both sides by 7 )

[tex]\frac{k(a+r)}{7}[/tex] = x

Answer:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Step-by-step explanation:

1. Multiply all three terms by k to eliminate the fraction:

ak = 7x - kr

2.  Subtract kr from both sides:

7x = ak - kr

3.  Divide both sides by 7:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

Answers

Answer:

the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right.  The bottom portion of the U passes through the origin"

I took the test.  Good luck!

A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.

A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.

An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values ​​as soon as input values ​​are inserted.

Learn more in https://brainly.com/question/23505310

Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.

Answers

The two lines intersect at (4,8)

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Figure
(С Е
Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O

Answers

Answer:

a rotation, followed by a translationa translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

a rotation, followed by a translationa translation, followed by two reflections

Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process

Answers

Answer:

D

Step-by-step explanation:

Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.

Answer: d

Step-by-step explanation: i did it and got it right

describe the y-intercept in terms of knots and rope length

Answers

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

The function h is defined by h (x) = x^2 +5.
Find h (4a).
????

Answers

Answer:

16a^2+5

Step-by-step explanation:

A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____

Answers

Answer:

80%; 30%

Step-by-step explanation:

There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.

There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.

There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.

Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1

Answers

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

the answer is D. -1/4 because it would make 1=1 instead of greater than or equal to 1

solve for x -7x+1≥22 or -10x+41≥81

Answers

Answer:

The answer to the union of the two sets is: [tex]x\leq -3[/tex]

Step-by-step explanation:

Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.

First inequality:

[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]

so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)

Second inequality:

[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]

So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.

Then, when we do the union of these two sets, we get:

[tex]x\leq -3[/tex]

since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.

Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?

Answers

110 divided by 5 is 22
Rachel gets payed $22 per hour
So the answer is 12 she would need to work 12 hours.

Answer: she needs to work 8 hours

Step-by-step explanation:

how do you solve this

Answers

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

This is the answer don’t be shy like it
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