Mathematics High School

Point E is drawn on the graph so that the line EF is parallel to line CD

Answers

Answer 1

what is the question though?? and what are the answer choices??

Answer 2

Answer:

-8

Step-by-step explanation:

edg 2020

Related Questions

Indicate the equation of the given line in standard form.

The line through (2, -1) and parallel to a line with slope of 3/4

Answers

Since the slope stays the same as it's parallel, we have y=(3/4)x+b. Plugging (2,-1) in, we get -1=3*2/4+b=6/4+b=1.5+b. Subtracting 1.5 from both sides, we get -2.5=b and our equation being y=(3/4)x-2.5 (since in y=mx+b, y and x remain as variables)

An airplane descends at a rate of 300 feet for every 5000 horizontal feet that the plane travels. What is the slope of the path of descent?

Answers

Slope = rise/ run
slope = -300/5000
slope = -3/50

Hope this helped!

Answer:

slope=-3/50

Step-by-step explanation:

slope= y/x

y=-300

x=5000

substituting into the equation:

slope=-300/5000

What is the equation of a horizontal line passing through the point (-7,5)

Answers

y=5x-(-7) that is the answer

The simplified version of what you’re asking, and by simolified i mean solved, is Y= 5

You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 4% of sales per month. The second site features a triple net lease with these monthly terms: rent is 3% of sales, insurance is $175, maintenance is $50, utilities total $345, and property tax is $165. Your business plan estimates your monthly sales to average $85,000. Which lease is better for you financially?

Answers

The amount due for the first term of payment is the product of the total sales and the percentage.

(1) Amount due = ($85,000)(0.04) = $3,400

The total amount due for the second term of payment is the product of the total sales and the percentages together with all the fees specified in the item (insurance, maintenance, and utilities).

(2) Amount due = ($85,000)(0.03) + $175 + $50 + $345 = $3,120

If we are to compare the two amounts, using the second term of payment, lesser amount will be paid. Thus, the answer to this item is the second choice.

Answer: Second site

Step-by-step explanation:

just did the quiz

For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d = v + v2 20 where d is measured in feet. kerry wants her stopping distance not to exceed 75 ft. at what range of speeds (in mi/h) can she travel? (enter your answer using interval notation.) c

Answers

The range of speeds in miles per hour Kerry can travel is [tex]-50\ge v\le30[/tex] .

Given that, a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula [tex]d = v + \frac{v^2}{20}[/tex].

Here,

[tex]75=v+\frac{v^2}{20}[/tex]

[tex]75=\frac{(20v+v^2)}{20}[/tex]

[tex]v^2+20v=20\times75[/tex]

[tex]v^2+20v=1500[/tex]

[tex]v^2+20v-1500=0[/tex]

[tex](v+50)(v-30)=0[/tex]

[tex]v-30=0[/tex]

[tex]v=30[/tex]

First thing is to realize what 'not to exceed' means. More than 75 feet exceeds 75 feet, but exactly 75 feet or anything less does not. So you want to determine v such that [tex]d\le75[/tex].

[tex]d=v+\frac{v^2}{20}[/tex]

is the given model. This is a reasonably good model presuming you have a better than average reaction time, dry pavement, new tires, etc. Be that as it may, you need to determine v such that:

[tex]v+\frac{v^2}{20} \le75[/tex]

Multiply by 20, we get

[tex]20v+v^2\le1500[/tex]

Add -1500 to both sides

[tex]v^2+20v-1500\le0[/tex]

[tex](v+50)(v-30)\le0[/tex]

So, [tex]v\le-50[/tex] or [tex]v\le30[/tex]

Thus, the range is [tex]-50\ge v\le30[/tex]

Therefore, the range of speeds in miles per hour Kerry can travel is [tex]-50\ge v\le30[/tex] .

Learn more about the average speed here:

brainly.com/question/9834403.

#SPJ12

Kerry can travel at speeds in the range [tex]{(-\infty, 30]} mi/h[/tex].

To find the range of speeds Kerry can travel while ensuring her stopping distance doesn't exceed 75 feet, we need to solve the inequality [tex]v + \frac{v^2}{20} \leq 75[/tex], where v represents her speed in miles per hour.

First, we rearrange the inequality:

[tex]v^2 + 20v - 1500 \leq 0[/tex]

Next, we factor the quadratic equation:

[tex](v - 30)(v + 50) \leq 0[/tex]

This gives us two critical points: v = 30 and v = -50.

Since speed cannot be negative, we discard v = -50.

Now we test the intervals created by the critical point:

- For v < 30, the inequality holds.

- For v > 30, the inequality does not hold.

△R′S′T′ is the image of △RST under a dilation through point C. RS=5 and R′S′=8 . What scale factor was used in the dilation?

Answers

Answer:

1.6

Step-by-step explanation:

To find the scale factor, we compare the image size to the pre-image size.

R'S' = 8 and RS = 5; this makes the scale factor 8/5, which is 1.6.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. The scale factor that was used in the dilation is 1.6.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Scale factor = Dimension of the new shape/Dimension of the original shape

Given that △R′S′T′ is the image of △RST under a dilation through point C. Also, given that RS=5 and R′S′=8. Therefore, the scale factor that was used in the dilation is,

Scale factor = Dimension of the new shape/Dimension of the original shape

Scale factor = R′S′ / RS = 8/5

= 1.6

Hence, the scale factor that was used in the dilation is 1.6.

Learn more about Scale Factor:

https://brainly.com/question/22312172

#SPJ6

Manda uses the recipe shown to make punch for a family party. amanda’s punch recipe 7 parts mixed fruit juice 2 parts lemonade how much lemonade will she need to make 180 fluid ounces of punch

Answers

7:2....added = 9

7/9(180) = 1260/9 = 140 fluid oz .....mixed fruit
2/9(180) = 360/9 = 40 fluid oz <== lemonade

Answer:

40 fluid ounces of lemonade.

Step-by-step explanation:

Amanda uses the recipe shown to make punch for a family party.

Amanda's punch recipe 7 parts mixed fruit juice 2 parts lemonade.

7 + 2 = 9 parts

She will need to make 180 fluid ounces of punch.

she will need lemonade = (180/9) × 2

= 20 × 2

= 40 fluid ounces lemonade

She will need fruit juice = (180/9) × 7

= 20 × 7

= 140 fluid ounces fruit juice.

Amanda will need 40 fluid ounces lemonade to make 180 fluid ounces of punch.

The product of a number and 7 is at most the difference of the number and 5. write an inequality and solve for the variable

Answers

the inequality would be: 7n =< n - 5
(subtract n from both sides): -n -n

so then: 6n =< -5
(divide both sides by 6): 6n/6 =< -5/6

answer: n =< -5/6 OR n =< -0.83

Hope this helps :)

Look at the diagram. Which of the following is another name for < 1

A. < CBA
B. < ACB
C. < CAB
D. < BAC

Answers

another name for ∠1 is
A. ∠CBA

Answer: A. ∠CBA

Step-by-step explanation:

We need three points to write a name of an angle. One point on each ray with the vertex lies in the middle.

There are total three ways to write a name of an angle.

For example :- M and N are points on each ray of an angle with vertex O.

Then, the name of angle can be ∠O, ∠MON or ∠NOM.

From the given picture , it can be observe that A and C are points on each ray of ∠1 with vertex B.

Then, the possible name of ∠1 will be ∠B , ∠ABC or ∠CBA.

Since, ∠CBA in given in option A.

Thus OPTION A is the correct option.

Ramona is ordering carpet for a room that is 19.5 feet by 41.6 feet. the carpet is $9.50 per square foot. about how many square feet of carpet will ramona need to order to cover the entire room

Answers

Okay. So first off, we find the area of the room by multiplying 19.5 * 41.6. When those numbers are multiplied, the product is 811.2. Ramona will need 811.2 square feet of carpet in order to cover the entire room.

What is 3a-2b if a=-1 and b=-2

Answers

3(-1) - 2(-2)

-3 + 4 = 1

your answer is 1

remember, two negatives become one postive

caryssa makes bracelets to sell at craft fairs. The supplies she needed to start her business cost $45. In addition, the supplies for each bracelet cost her $3. She sells her bracelets for $5. What is the minimum number of braclets she must sell to make a profit?

Answers

She spent 48 dollars meaning she must sell at least 10 bracelets to make a profit (5.10)= 50

m=(x+n)/(p)

An answer would be sweet!! God bless

Answers

The answer to your problem is:

x=-n+mp

what does the y-intercept mean in terms of the graph? Select all that apply.

a. the x-value at a y-value of 0.
b. the y-value at an x-value of 0.
c. where the function crosses the y-axis
d. where the function the x-axis

Answers

Hello there!

Your answer would have to be C. where the function crosses the y-axis

Hope This Helps!

Show that (2-√x)^2 divided by √x can be written as 4x^(-1/2)-4+x^1/2

Answers

hello :
(2-√x)^2 = 4 - 4√x + x ( identity : (a-b)² = a² - 2ab +b² and : (√x)² = x )
now :
(4 - 4√x + x)/(√x) = 4/√x - 4√x /√x + x /√x
but :
4/√x = 4/x^1/2 = 4x^(-1/2)
- 4√x /√x = - 4
x /√x = (√x ×√x) / √x = √x = x^1/2
conclusion :
(4 - 4√x + x)/(√x) =4x^(-1/2) - 4 + x^1/2

Find the circumference of a circle with a radius of 6. Leave your answer in terms of

Answers

Greetings and Happy Holidays!

The formula for the circunference of a circle is:
[tex]C=2 \pi r[/tex]

Input the value for the radius.
[tex]C=2 \pi(6)[/tex]

Multiply.
[tex]C=12 \pi[/tex]

...or if you require a fully simplified answer:
[tex]C=37.699[/tex]

The Answer Is:
[tex] \left[\begin{array}{ccc}C=12 \pi \end{array}\right] [/tex]

I hope this helped!
-Benjamin

One number is 5 more than another number. their sum is −15 . what are the numbers?

Answers

x=5+y
x+y=-15

subsitute 5+y for x

5+y+y=-15
5+2y=-15
minus 5 from both sides
2y=-20
divide both sides by 2
y=-10

sub back
x=5+y
x=5-10
x=-5

the numbers are -10 and -5

The quotient of y and 3 is 25

Answers

This will become y/3=25.

one week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. the next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1027. the following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2091. find the cost of a trumpet, a clarinet would, and a violin.

Answers

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. the next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1027. the following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2091.

Let x be the cost of trumpets

y be the cost of clarinets

z be the cost of violins

Now we frame equations

2x +3y + 5z = 1240 ---> equation 1

3x + 1y + 4z = 1027---> equation 2

5x + 7y + 2z = 2091 ---> equation 3

Now we solve for x,y and z using elimination method

Multiply the second equation by -3 and with first equation

2x +3y + 5z = 1240

-9x - 3y -12z = -3081

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

-7x - 7z = -1841 ( divide both sides by -7)

x + y = 263 ----------> equation 4

Multiply the second equation by -7 and add it with third equation

-21x - 7y - 28z = -7189

5x + 7y + 2z = 2091

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

-16x - 26z = -5098 (divide the whole equation by -2)

8x + 13z = 2549 --------> equation 5

Now use equation 4 and 5 to eliminate x. Multiply equation 4 by 8

-8x - 8z = -2104

8x + 13z = 2549

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

5z = 445

z = 89

We know x + z = 263, replace z with 89

x + 89 = 263 ( subtract 89 on both sides)

x = 174

2x +3y + 5z = 1240 ---> equation 1 ( substitute the values of x and z)

2(174) + 3y + 5(89) = 1240

348 + 3y + 445 = 1240

793 + 3y = 1240 ( subtract 793 on both sides)

3y = 447 ( divide by 3 on both sides)

y = 149

The cost of trumpets = $174

The cost of clarinets = $149

The cost of violins = $89

Using a system of equations, it is found that:

The cost of a trumpet is of $174.The cost of a clarinet is of $149.The cost of a violin is of $89.

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

For the system of equations, i will say that:

The cost of a trumpet is x.The cost of a clarinet is y.The cost of a violin is z.

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

2 trumpets, 3 clarinets, and 5 violins for $1240, thus:

[tex]2x + 3y + 5z = 1240[/tex]

3 trumpets, 1 clarinet, and 4 violins for $1027, thus:

[tex]3x + y + 4z = 1027[/tex]

5 trumpets, 7 clarinets, and 2 violins for $2091, thus:

[tex]5x + 7y + 2z = 2091[/tex]

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

From the second equation:

[tex]y = 1027 - 3x - 4z[/tex]

Replacing into the other two:

[tex]2x + 3y + 5z = 1240[/tex]

[tex]2x + 3(1027 - 3x - 4z) + 5z = 1240[/tex]

[tex]-7x - 7z = -1841[/tex]

Simplifying by 7:

[tex]x + z = 263 \rightarrow z = 263 - x[/tex]

Also:

[tex]5x + 7y + 2z = 2091[/tex]

[tex]5x + 7(1027 - 3x - 4z) + 2z = 2091[/tex]

[tex]-16x - 26z = -5098[/tex]

[tex]16x + 26z = 5098[/tex]

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

Solving for x:

[tex]16x + 26z = 5098[/tex]

[tex]16x + 26(263 - x) = 5098[/tex]

[tex]10x = 1740[/tex]

[tex]x = \frac{1740}{10}[/tex]

[tex]x = 174[/tex]

The cost of a trumpet is of $174.

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

Solving for z:

[tex]z = 263 - x = 263 - 174 = 89[/tex]

The cost of a violin is of $89.

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

Solving for y:

[tex]y = 1027 - 3x - 4z = 1027 - 3(174) - 4(89) = 149[/tex]

The cost of a clarinet is of $149.

A similar problem is given at https://brainly.com/question/22826010

Don't worry about the pics at the bottom plz help

Answers

first one: x>5
second one: x≥5
im pretty sure its right
Hope this helps love! :)

Calculate f (-3) f (x)=-2x+3

Answers

Thanks for the question!

Substitute -3 as x:

f(x) = -2x + 3
f(-3) = -2(-3) + 3
f(-3) = 6 + 3
f(-3) = 9

Hope this helps!

solving for x)
x=-3/3f^2-2

Last year shantell bought a car for $24,000 the current value of the car is $21,000 find the percent decrease in the value of the car

Answers

24,000-21,000=3,000nThe decrease is 3,000 dollars. Now, put 3,000 over 24,000 which is 1/8, which is 12.5 percent.

A washer and a dryer cost $942 combined. The washer costs $42 more than the dryer. What is the cost of the dryer?

Answers

the dryer costs 900 because you subtract 942 from 42 and you get the total of the dryer.

w + d = 942
w = d + 42

d + 42 + d = 942
2d + 42 = 942
2d = 942 - 42
2d = 900
d = 900/2
d = 450 <=== dryer costs $ 450

w = d + 42
w = 450 + 42
w = 492 <=== washer costs $ 492

A flower store has 42 carnations and 21 pansies. It puts the same number of flowers in each of 7 bouquets.

How many flowers are in each bouquet?

Answers

First you add 42 + 21 and that equals 63

Next you divide 63 by 7 which is nine

So the answer is that there are 9 flowers in each bouquet

42 carnations / 7 bouquets would equal 6 carnations per bouquet
21 pansies / 7 bouquets would be 3 pansies per bouquet

there would be 6 carnations and 3 pansies in each bouquet equaling in 9 flowers per bouquet

mixed number change into a improper fraction 3 9/12 + 6 1/2 show ur work

Answers

3 9/12= 3 3/4
3 3/4= 15/4

6 1/2= 13/2
13/2(2/2)= 26/4

15/4+ 26/4= 41/4

The answer is 41/4 or 10 1/4.

Hope this helps!

Answer 1 1/4. first for 3 9/12 you multiply 12 x 3 + 9 same for 6 1/2. then add. then make it into a mixed fraction again.

------Seventh Grader

Help please !! It’s geometry credit recovery

Answers

cross multiply? 9x2=18/3= 6

Barbie is thinking of s number. Twenty less than one third of the number is 72. Find barbies number

Answers

if you do inverse operations you get s=285

It is 285 because I got that one correct

Algebra expression ; Nine more than the product of 51 and the number T

Answers

51T + 9

hope it helps

Suppose you are building a rectangular pen for your goats. You use 400 feet of fencing for the pen.

Answers

part A

The pen has a rectangular shape of length l and width, say w.

The perimeter (the fencing) of this rectangle is 2l+2w, as in the rectangle we have 2 opposing sides of length l and 2 opposing sides of length w.

This means that 2l+2w=400

subtract 2l from both sides:

2w=400-2l

divide by 2:

w=200-l, so we find that the width is 200-l.

part B

we are asked to find w when l=80 ft,

since we have w=200-l, we can find w for l=80 ft by substituting :

w=200-l=200-80=120 (feet)

Part C

The area of the pen when l=90 feet is:

[tex]A_{pen}=width \cdot length=(200-l) \cdot l=(200-90) \cdot 90\\\\=110 \cdot 90=9,900[/tex] (square feet)

what is the answer to this problem?

Answers

Every two consecutive angles are supplementary

so x+115 = 180 x= 65

and x+y = 180 y = 115

you can pick the second choice

X=65 or y =115, because they are supplementary meaning it must equal 180 degrees for adjacent angles. This would make it certain this is a parallelogram.
Hope it helped!

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