On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The equation that represents this direct variation between a and b is:

b = -a. See explanation below.

What is a Direct variation?

Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.

Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a

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Related Questions

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.

Answers

Answer:

50 + 30x = 45x

Step-by-step explanation:

We are told that Susan drove 50 miles before Rick started his journey.

We are told that Susan drives at 30 miles/hr

Which means total distance by Susan for x number of hours is;

50 + 30x miles

Total distance driven by Rick for x number of hours = 45x

For Rick and Susan to be at the same point, their distance covered must be the same.

Thus;

50 + 30x = 45x

45x - 30x = 50

15x = 50

x = 50/15

x = 3.333 hours

Thus, the equation where Rick and Susan would have driven the same number of miles is;

50 + 30x = 45x

Which expression has the greatest value?

A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2

Answers

the answer is c you just have to solve each one

a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?

Answers

Answer:

A Clydesdale drinks 840 gallons of water in 28 days.

Step-by-step explanation:

120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.

Yeah sorry I’mmmmm!!!

Solve for y.
24=8/3y

Simplify your answer as much as possible.

Answers

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

i need help can yall help

Answers

Answer:

360"

Step-by-step explanation:

Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.

i believe she can cut 360 6 inch strips from all of the rolls

Because:

the 5 rolls of ribbon each have six feet of ribbon on each roll, times the amount of inches in a foot

5(rolls of ribbon)*6(feet on each roll)*12(inches in a foot) = 360 (6 inch strips she can cut)

PLEASE give brainliest if correct!
have a nice day :-)

A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950

Answers

Answer:

J. $950

Step-by-step explanation:

p(n)= 10n-50

p(n)=10(100)-50

P(n)=1000-50

950

The answer is j-950

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 290 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.

Answers

Step-by-step explanation:

The random variable (x) here would be a randomly selected student from the college that is left-handed.The population parameter would be 11% of America's total population. The total population as of 2019 is believed to be 328.2 million, and 11% of that figure is about 36.1 million (thirty-six million one hundred thousand).Hypotheses: Remember, the null hypothesis usually reflects the held view of the researcher, and since we are told the college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population. It could read; There is a statistically significant difference in the percentage of left-handers in the college than the American population. While the alternate hypothesis could read; There is no statistically significant difference in the percentage of left-handers in the college than the American population.The Type I error implies rejecting the null hypothesis when it is actually true. That is: Rejecting that the % of all students from that college that are left-handed is 11 % when the % is really 11 %.The Type II error implies accepting the null hypothesis when it is actually false. That is: Failing to reject that the % of all students from that college that are left-handed is 11 % when the % is actually different.

Please help
Use the table below to answer this question:

x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.

Answers

Answer:

;)

Step-by-step explanation:

ฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅ

Base area of a room is 34m^2 and height of the room is 10m. Find the volume

Answers

Answer:

340 m³

Step-by-step explanation:

Hi there !

V = Ab×h

= 34m²×10m

= 340 m³

Good luck !

The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

Given the following data:

Base area of room = 34 [tex]m^2[/tex]Height of room = 10 meters

To find the volume of the room:

Mathematically, the volume of a room is given by the formula:

[tex]V = Bh[/tex]

Where:

V is the volume of an object.B is the area of an object.h is the height of an object.

Substituting the given parameters into the formula, we have;

[tex]V = 34 \times 10[/tex]

Volume = 340 cubic meter.

Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

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Why I cannot simplify P-2l further

Answers

Answer:what

Step-by-step explanation:

40 POINTS FOR AWNSER

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation.


Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.


Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.


Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.


Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

The answer is 247=x-73y

Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS

Answers

Answer:

A. △GHD ≅ △EDH by SAS

Step-by-step explanation:

This is right on edge. 2020

In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.

Given :

∠GHD and ∠EDH are rightGH ≅ ED Triangles G H D and E D H overlap and intersect at point F.The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.

In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.

Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.

So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).

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HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answers

Answer:

7 years

Step-by-step explanation:

Let W = number of years they both have to work to make the same amount :

Amount made by Jaylon = 57000

Annual raise = 2500

Titak made after W years :

57000 + 2500w - - - (1)

Amount made by Anita = 64000

Annual raise = 1500

Total made after w years :

64000 + 1500w - - - (2)

Equate (1) and (2)

57000 + 2500w = 64000 + 1500w

2500w - 1500w = 64000 - 57000

1000w = 7000

w = 7000/ 1000

w = 7

Hemce, they'll both earn the same amount after 7 years

Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?

Answers

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12

Find the value of x.

Answers

in this problem x equals 10

Step-by-step explanation:

jd

Answer:

13

Step-by-step explanation:

if x=21 then y=49. What is the value of x when y=56?

Answers

Answer:

24

Step-by-step explanation:

set them up as a fraction.

21/49=x/56

cross multiply: 21*56=49x

1176=49x

divide both sides by 49

x=24

Answer:

28

Step-by-step explanation:

notice that when x=21 thats 3x7=21  

then when y=49  thats 7x7  

so when y=56  that's 8x7

notice there is a patter of 7 being used?   there are probably a lot of other patterns that would also work.. but.  if your class is working on multiplying by 7 , then this is probably the right pattern.  

from the above pattern, then,

x=4x7 when y=56

x=28

Can you please help me? I will give brainliest, I appreciate it :) Thanks!

Answers

Answer:

I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.

Step-by-step explanation:

I think that functions must have f(x) in the equation.

What does it mean by "interpret its meaning"? I underlined it for you guys.

Answers

Like what is it’s meaning in that problem.

Answer:

1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.

Step-by-step explanation:

1: You have to find the amount of distance traveled per hour.

Answer: 300 miles per hour.

2. You have to find the amount of money earned per hour.

Answer: 5$ per hour.

3: You have to find the sales price per retail price.

Answer: 10$ of sales price per 20$ of retail price.

Please help me with this problem

Answers

Answer: D)  [tex]m \angle 2 = m\angle 5[/tex]

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

Explanation:

Let's go through the answer choices to see what's true and what's false.

A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.

A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old

Answers

Answer:

20

    Step-by-step explanation:

is the answer       ok    srry if wrong

which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)

Answers

Answer:

y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus

y - 2 = [tex]\frac{1}{3}[/tex](x - 3)

Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .

To Find : The equation of that line .

Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;

[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]

Where ,

a is x - coordinate.b is y - coordinate .m is the slope of the line .

Here ,

a = 3 b = -2m = ⅓ .

Now , put the respective values ;

[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]

Which equation represents the line that is parallel to 5x +y = 13 and passes through the point (15,-31)? ​ Show complete working format please

Answers

Answer:

Step-by-step explanation:

y = -5x + 13

y + 31 = -5(x - 15)

y + 31 = -5x + 75

y = -5x + 44

A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.​

Answers

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?

Answers

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?


Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK

Answers

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

42 cups of sugar should be used if 21 cups of flour are used

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

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who does gymnastics?
answer if you do only

Answers

ME!!! I have to because of volleyball and track practicing

Solve for x.
21 + 3x = -15

Answers

The answer to this question is x=-12

Answer:

21+3x=-15

-21 -21

3x=-36

÷3 ÷3

x=-12

x=-12

Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.

Answers

Answer:

vertex = (- 4, - 3 ), equation is x = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 6(x + 4)² - 3 ← is in vertex form

with (h, k ) = (- 4, 3 ) ← vertex

The equation of the axis of symmetry is a vertical line passing through the vertex, with equation

x = - 4

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