Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 3 hours, you now have 6 gallons left.

If x is the number of hours you have been driving, then y is the number of gallons left in your tank.

At what rate is the gas left in the tank changing? State your answer as a reduced fraction.

Answer:

Yes it's a positive linear graph

Step-by-step explanation:

Answer:

yes dear it's a positive linear graph.

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

9514 1404 393

Answer:

  3.67 years

Step-by-step explanation:

The amount is found using the compound interest formula.

  A = P(1 +r/n)^(nt)

for principal P invested at annual rate r compounded n times per year for t years.

We can solve this for t:

  A/P = (1 +r/n)^(nt) . . . . divide by P

  log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm

  t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t

Filling in the given values, we find ...

  t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692

It will take about 3.67 years for the balance to reach $12,000.

Answer:

the answer is 3.67 years

Answer:

D

Step-by-step explanation:

I say D because if you just multiply each number on there you get 210.

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance​. It can be calculated as follows :

[tex]\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%[/tex]

So, the increase in distance is equal to 24.61%.

Answer:

Kristina

Step-by-step explanation:

Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.

Answer:

uh i dont know lol im new how do i use this thing bahahaha

Step-by-step explanation:

Answer:

first, dilate triangle ABC with respect to the origin by scale factor of 2.

then rotate it 90 degrees counterclockwise about the origin

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Let x be the number of hours both people baby sit and y be the number of hours that they each earn.

Sarah:

y = 10 + 2.5x

Carly:

y = 7.5 + 3.5x

You know that the number of hours should be the same (y).

10 + 2.5x = 7.5 + 3.5x

Evaluate and find x.

10 - 7.5 = 3.5x - 2.5x

x = 2.5

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:  $1.50 per ticket

Step-by-step explanation:

Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)

Once you divide them, you'll get 1.5.

$1.50 per ticket.

Not that bad

Answer: Correlation

Step-by-step explanation:

The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.

Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.

In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.

Answer:

13

Step-by-step explanation:

You must use PEMDAS to solve this equation.

Solve everything in the parentheses first;

4(6) = 24

24 + 2 = 26

26 / 2 = 13

Final answer = 13

Answer:

2.2

Step-by-step explanation:

Answer:

x=6 x=-1

a=1.5 a=-2

n=-1.5 n=4

Step-by-step explanation:

(a) (b) (c)

10a2+5a-30

x=-b+-√b2-4ac/2a

a=-5+-√(5)2-4(10)(-30)/2(10)

a=-5+-√25+1200/20

a=-5+-√1225/20

a=-5+√1225/20

a=1.5

a=-5-√1225/20

a=-2

Answer:

On the one that says "3-24" its supposed to be "3-18". On the one that says "4-32" its supposed to be "4-24".

Answer:

1. 25÷4w

2. w=6.25

3.I divided 25 by 4 to find w

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I just submited that same exact test from connexus

Answer: D 500 cubic centimeters

Step-by-step explanation:

The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!

Hope this helped! ^^

Answer:

a) 0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) 0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) 0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm.

This means that [tex]\mu = 4.8, \sigma = 1.4[/tex]

a) the thickness is less than 3.0 mm.

This is the pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{1.4}[/tex]

[tex]Z = -1.29[/tex]

[tex]Z = -1.29[/tex] has a pvalue of 0.0985

0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) the thickness is more than 7.0 mm.

This is 1 subtracted by the pvalue of Z when X = 7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.8}{1.4}[/tex]

[tex]Z = 1.57[/tex]

[tex]Z = 1.57[/tex] has a pvalue of 0.9418

1 - 0.9418 = 0.0582

0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) the thickness is between 3.0 mm and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. From questions a and b, we have these pvalues. So

0.9418 - 0.0985 = 0.8433

0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Answer:

The value of p is 1

Step-by-step explanation:

we know that  

The standard form of the equation of a horizontal parabola is

(y - k)² = 4p(I - h)

where

(h,k) is the vertex

p[tex]\neq[/tex] 0

if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

I = [tex]\frac{1}{4}[/tex]y²

Convert to standard form

y² 4I

The vertex is the point (0,0)

4p = 4

P = 1 -----> p > 0, the parabola opens to the right  

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]