The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?

Answer:

see explanation

Step-by-step explanation:

10^3x=98

1000x=98

x=98/1000

x=49/500

x=0.98

if it is rounded to the nearest hundredth then x=0

Answer:

Step-by-step explanation:

[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex]   [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]        

x=-5, 4.7

Answer:

8(x-4)=-64

8x-32=-64 +32

8x=-32 :8

x=-4

Step-by-step explanation:

prove me wrong

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = [tex]\frac{volume of blood}{time}[/tex]

                           = [tex]\frac{7200L}{24}[/tex]

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

Answer:

h = 24 cm

Step-by-step explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]

[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]

[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.

Answer:

24

Step-by-step explanation:

I took the test

Answer:

3% = 0.03

verified with calculator

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

Answer:

The correct answer is 24.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

you do 1/1 which is 1. because the line is negative, the answer is -1

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

Answer:

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

Step-by-step explanation:

The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A"  are present.

99% of 200 is 198. This means that there are 198 bottles of Medicine A present.

The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.

98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.

The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.

This will be 198 - 196 = 2 bottles

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

20 i think

Step-by-step explanation:

if it was 100 it would be 10. 100x2=200. thats how i got 20

Answer:

Step-by-step explanation:

Initial value of house:

Yearly increase rate of value:

Time

Since the increase is concerning the current price it would be exponential growth.

The function would be:

For t= 13 we get:

Profit made would be:

Correct option is D.

Answer:

Cost of Tammy's house =$184000

Rate of interest = 3.5% per annum

After 13years price will be

[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]

Total profit= $(287767-184000)= $103768

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

Answer: -4

Step-by-step explanation:

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

Answer:

s=16

Step-by-step explanation:

P=4s

Put P=64

64=4s

s=16

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

Answer:

Step-by-step explanation:

D

The distance between points is √65.

The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.

The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.

Given coordinates

R(5, 7) and S(-2, 3)

to find the distance between

the formula of distance for coordinates is

d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]

here y₂ = 3, y₁ = 7

x₂ = -2, x₁ = 5

substitute value in equation we get

d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]

d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]

d = √(16 + 49)

d = √65

Hence the distance is √65.

Learn more about distance;

https://brainly.com/question/15172156

#SPJ2

Answer:

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

n=-1

Answer:

2d(d - 4)

Step-by-step explanation:

Given

2d² - 8d ← factor out the common factor of 2d from each term

= 2d(d - 4) ← in factored form

Answer:x=1/9

Step-by-step explanation:

1. subtract 2 from both sides

9x+2-2=3-2

2.simplify

9x=1

3.Divide both sides by 9

9x/9=1/9

4.simplify

x=1/9

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

Answer:

30.9

Step-by-step explanation:

.