Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y? 3.5x + 4y ≥ 45, y ≥ 11.25 3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 3.5x + 4y ≤ 45, y ≥ 10.375

Answer:

a. S

b. M

c. S

d. M

Answer:

-5X + 17Y -1 A = -5X B = 17Y. C = -1

Step-by-step explanation:

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The equation of a line 17y - 5x + 8 = 9  in standard form

is - 5x + 17y - 1 = 0.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.

∴  17y - 5x + 8 = 9.

- 5x + 17y - 1 = 0.

So, A = - 5, B = 17 and, c = - 1.

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Answer:

its hard to do this without a graph to draw on for you but see explanation

Step-by-step explanation:

from each point count how many units it is from the mirror line and then count that many in the opposite direction. for example, the top left point is 3 away from the mirror line from the left so count 3 units to the right of the mirror line and that is where that point will be.

Answer:

3799 books

Step-by-step explanation:

We have the total number of books collected as 5,853 books

In the first week, a total of 2,054 books were collected.

If the collection of books went on for two weeks;

Hence in the second week, a total of (5,853 - 2,054) were collected.

Therefore, number of books collected in the second week = 3799 books

Answer:

B

Step-by-step explanation:

residual is the given - predicted

residual 1: -0.42

residual 2: 0.35

so on and so forth

B matches up with the first two coordinates

The residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The residual = actual—predicted

We have given:

X         Given     Predicted     Residual value

1            0.7           0.28             0.42

2           2.3           1.95              0.35

3            4.1            4.18             -0.08

4           7.2           6.41              0.79

5            8             8.65            -0.65

Thus, the residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

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Answer:

step by step its adds to 3

Step-by-step explanation:

Answer:

x= −1/21

Step-by-step explanation:

Answer:

x=26

Step-by-step explanation:

Simplify both sides of the equation.

16+

x

13

=18

16+

1

13

x=18

1

13

x+16=18

Step 2: Subtract 16 from both sides.

1

13

x+16−16=18−16

1

13

x=2

Step 3: Multiply both sides by 13.

13*(

1

13

x)=(13)*(2)

x=26

Answer:

to get the arithmetic means between 35 and 105 you must add the two and divide it by 2 so 35 + 105 equals to 140 then you divide it by 2 to get 70

Answer:

In my view 1st answer is correct..

We can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

So, the equivalent expression is:

Let us take the number with the most numbers after decimals, that is -4.001.

Now, if we -4.001 × 1000, then we obtain:

This means we will multiply all terms with 1000 as follows:

Therefore, we can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

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Answer:

66% off

Step-by-step explanation:

Answer:

50% percent is $7.50

80% is 3.00

so it is a bit less then 65% but more then 60%

so it is 66% off

Step-by-step explanation:

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[tex]ax - b < c[/tex]

Add sides b

[tex]ax - b + b < c + b[/tex]

Simplification

[tex]ax < b + c[/tex]

Divide sides by a

[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]

[tex]x < \frac{b + c}{a} \\ [/tex]

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Answer:

h(3) = 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = -x² + 2x

h(x) = |5x - 17|

h(3) is x = 3 for h(x)

Step 2: Evaluate

Answer: I think it’s d

Step-by-step explanation:

Answer:

15cents.

Step-by-step explanation:

The cost of yogurt is $0.75

20% of this amount is the profit to the company

Profit = [tex]\frac{20}{100} * 0.75[/tex]

          = $0.15

So the profit to the company is 15cents.

Answer:

4 feet and 2 inches

Step-by-step explanation:

The height that was measured by the doctor should be considered the actual height because it is the most accurate. It is an actual measurement and not an estimate.

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

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Answer:

a=1: x2 + -6      x=-13

Step-by-step explanation:

Complete the square:

x2 – 6x + 9  =–13 + 9

Factor the trinomial and simplify:

(x + -3 )²= -4

Use the square root property of equality to solve

(x  – 3)2 = –4.

The solutions are

3 ± 2i

Answer:

The image points are given as;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Step-by-step explanation:

The object points has coordinates at;

I (5,0)

J(2,3)

K(0,2)

L(1,-1 )

The object points are reflected across line x= 1 to get image of objects points at ;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Attached is the graph for the object points and image points after reflection across x= 1

A quadratic function is written as ax^2 + bx + c

Where the first term is raised to the 2nd power and the second term includes the x variable.

The answer would be number 2

Answer:

Answer:I can't read or see it

Step-by-step eAnswer:I can't read or see itxplanation:

Answer:

0.0035 in decimal form

7/2000 in fraction form

Step-by-step explanation:

math .way helps a lot with problems like this

Answer:

0.0035 in decimal form

7/2000 in fraction form

Step-by-step explanation:

math .way helps a lot with problems like this

Step-by-step explanation:

Answer:

k=1

If y=3

2(3)+k=6

5+k=6

-5     -5

k=6-5

k=1

Now to check

2(3)+1=6

5+1=6

6=6

6=6 is a correct statement! which means k=1.

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Answer:

13 dude

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

4 • (3p - 4q) • (p^2 + 3pq + 4q^2)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "q2"   was replaced by   "q^2".  1 more similar replacement(s).

(3p - 4q) • (((4 • (p^2)) +  12pq) +  2^4.q^2)

(3p - 4q) • ((2^2p^2 +  12pq) +  2^4.q^2)

Pull out like factors :

4p^2 + 12pq + 16q^2  =   4 • (p^2 + 3pq + 4q^2)

Factoring    p2 + 3pq + 4q2  

Try to factor this multi-variable trinomial using trial and error

Finally we get.

4 • (3p - 4q) • (p^2 + 3pq + 4q^2)

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Answer:

-4.3ºF

Step-by-step explanation:

Since the temperature decreased, you subract 15.7ºF.

Answer:

The temperature at midnight was:

-4.3°F

Step-by-step explanation:

11.4 - 15.7 = -4.3

Answer:

G = [tex]\frac{C(2)}{k}[/tex]

Step-by-step explanation:

C = 1/2gk

First you want to multiple both sides by 2 to get rid of that fraction and you get

C (2) = gk then you divide both sides by k to isolate the g and your left with

G= [tex]\frac{C(2)}{k}[/tex]

Hope this helps