Find the midpoint of segment AB A(-7,6) B(4,-2)

Answer:

[tex]w=1\text{ or } w=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5-3|2+2w|=-7[/tex]

First, subtract 5 from both sides:

[tex]-3|2+2w|=-12[/tex]

Divide both sides by -3:

[tex]|2+2w|=4[/tex]

Definition of Absolute Value:

[tex]2+2w=4\text{ or } 2+2w=-4[/tex]

Divide both sides of the equation by 2 for both equations:

[tex]1+w=2\text{ or } 1+w=-2[/tex]

Subtract 1 from both sides:

[tex]w=1\text{ or } w=-3[/tex]

And we're done!

To check:

[tex]5-3|2+2(1)|=-7[/tex]

Multiply:

[tex]5-3|2+2|=-7[/tex]

Add:

[tex]5-3|4|=-7[/tex]

Multiply:

[tex]5-12=-7[/tex]

Subtract:

[tex]-7\stackrel{\checkmark}{=}-7[/tex]

And:

[tex]5-3|2+2(-3)|=-7[/tex]

Multiply:

[tex]5-3|2-6|=-7[/tex]

Subtract:

[tex]5-3|-4|=-7[/tex]

Absolute Value:

[tex]5-3(4)=-7[/tex]

Multiply:

[tex]5-12=-7[/tex]

Subtract:

[tex]-7\stackrel{\checkmark}{=}-7[/tex]

Answer:

D. B=3v/h

Step-by-step explanation:

V = bh

multiply both sides by 3 to eliminate the fraction

3V = bh ( divide both sides by h )

B= 3v/h

The expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

It is given that:

The formula for the volume of a cone is:

V = (1/3)bh

To solve for b:

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as b:

V = (1/3)bh

On cross multiplication:

3V = bh

Divide by h on both the sides:

3V/h = bh/h

b = 3V/h

Thus, the expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

Learn more about the cone here:

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Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

Answer:

3/6 can be simplified

Step-by-step explanation:

3 divided by 3

6 divided by 3

it comes out to be 1/2

Answer:

208 - 0.7a < 180

Step-by-step explanation:

Answer:

This should be shown as:

-250 + 80 - 18 =  - 118

Step-by-step explanation:

Going down 250 feet will mean going down feet 250 so it will be -250. Rising 80 feet will mean going up 80 feet so it will be adding 80. Finally, descending 18 feet will mean going down 18 feet, so it will be -18. If you put them all together as one equation, you will get -250 + 80 - 18 which is -118.

Hope this helps!

The required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet which are given in the question.

Going down 250 feet means going down 250 feet, thus it will be -250. Rising 80 feet will result in an increase of 80 feet. Finally, descending 18 feet means going down 18 feet, therefore the result is -18. When you add them all together, you get -250 + 80 - 18, which equals -118.

Therefore, the required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

To learn more about the Algebra link is given below.

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The average of anything can be calculated by adding up all the terms and dividing by the number of terms.

In this case,

the number of terms = 3

x = the missing test score.

(91 + 72 + x) / 3 = 80

Let's multiply both sides by 3

91 + 72 + x = 240

Combine like terms.

163 + x = 240

Subtract 163 from both sides

x = 77

Carlos scored a 77 on his third test.

Given:

The system of inequalities

[tex]x\leq 7[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has at least one solution.

Solution:

We have,

[tex]x\leq 7[/tex]     ...(i)

It means all real values of x which are less than or equal to 0.

[tex]x\geq a[/tex]       ...(ii)

It means all real values of x which are greater than or equal to a.

Using (i) and (ii), we get

[tex]a\leq x\leq 7[/tex]

The value of x is lies in the interval [a,7].

It means, if the value of a is less than or equal to 7, then system has at least one solution.

But if a is more than 7, then the system of inequalities have to solution.

Therefore, the value of a must be less than or equal to 7.

Answer:

For me I think 216 diapers for 39.98 is the best option

Step-by-step explanation:

Get the price of one diaper in each offer

216 = $39.98

1= ?

1×39.98÷216=0.19

Option 2

88=24.99

1 =?

1×24.99÷88=0.28

So I prefer buying 1 diaper for$0.19 and get 216 of them for $39.98 rather than buying 1 diaper for $0.28 and get 88 of them for $24.99

Answer:

14 boxes of candy would cost $35

Step-by-step explanation:

First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.

I hope this helped and have a great day.

(Please vote this the brainliest)

Answer:

63(10)^4

Step-by-step explanation:

630 000= [tex]63(10)^4[/tex]

Answer:

7/8

Step-by-step explanation:

Odds against are the ratio between losses and wins.

odds against = L / W

Probability of winning is the ratio between wins and all games.

probability = W / games

probability = W / (W + L)

The odds against are 1 to 7.

1/7 = L / W

W = 7 L

The probability is therefore:

P = (7 L) / (7 L + L)

P = 7/8

Answer:

y=4/3x-1

Step-by-step explanation:

Answer:

Yes.

because yea

Answer:

4x+14

Step-by-step explanation:

In order to find the perimeter of an triangle you need to add up all the sides of the triangle.

3x-5+19-x+2x --->  3x+14-x+2x --> 4x+14

Answer:

rawrrrrrr mannnnnn

Step-by-step explanation:

Answer:

Boo!

Step-by-step explanation:

Answer:

x2=3

x= 3/2

x= 1.5

x•6= 1.5•6

x=9

Answer:B = 200

Step-by-step explanation:multiply both sides by 5

5*1/5 = 5*40

B = 200

Answer: 282 Feet.

Step-by-step explanation:

given data:

sea level of Death Valley California = 190 feet

Sea level of Badwater  America lowest point = 92 Feet lower than Dead valley.

Solution:

if Badwater is 92 feet lower than Death Valley,

Therefore; Badwater is 282  feet above sea level.

answer

980

Step-by-step explanation:

7/9-1/3=480

4/9=480

9/9=?

Answer:

1080

Step-by-step explanation:

We take x to be the number of pennies in the bank at first which filled the bank by a ¹/3

¹/3=×

⁷/9=×+480

⅓ multiply by 3 with both the numerator and denominator to get 3/9

7/9-3/9=4/9

4/9=480

If 4/9=480 what of 9/9

9/9×480÷4/9

Reciprocate 4/9

9/9×480×9/4=1080

Answer:

160

Step-by-step explanation:

8(4)(2)=      64

4(4)(2)=    +32

8(4)(2)=      64

               ______

                160

Answer:

Step-by-step explanation:

Answer:

$20,736

Step-by-step explanation:

When these kind of advertisements are displayed,, it means the EMI cost per month shall be $288.

Since it provides the time period, that is 72 months,

Total cost of car in this case shall be $288 [tex]\times[/tex] 72 months = $20,736

Also, these include an interest factor, but overall it is = $20,736 only,

If one down payment for full price of the car is made the cost shall reduce by the interest amount, but since no interest rate is provided it shall be ignored.

Answer:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

Comment on the form of the answer

If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.

Answer:

A

Step-by-step explanation:

edge 23

Answer:

$100 each.

Step-by-step explanation:

500 divided by 5 = 100

Answer:

y =  b-rx+sx

Step-by-step explanation:

rx - sx + y = b

Subtract rx from each side

rx-rx - sx + y = b-rx

-sx +y = b-rx

Add sx to each side

sx - sx + y = b-rx+sx

y =  b-rx+sx