Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.

25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60

Answer:

All real square roots of 25 is +5 and -5.

Step-by-step explanation:

When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.

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It is found that all the real square roots of 25 are 5 and -5.

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.

Hence, all the real square roots of 25 are 5 and -5.

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Answer:

720 divided by 90

Step-by-step explanation:

72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier

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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

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The correct answer is (( B )) .

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Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

-70b+22

Answer:

2x-6

Step-by-step explanation:

Answer

Matilda needs to sell 1376$ worth of coffee

Answer:

Step-by-step explanation:

Slope-intercept form is:

Points given:

y-intercept is

And the slope is:

So the line is:

Answer:

points are

slope =m

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]

y intercept:-

7

Hence the equation is

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

The value of her investment at the end of 7 years is $11804

The given parameters are

Principal, P = $5000

Rate, r = 4.5%

Time, t = 7 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 4.5%)^7

Evaluate the expression

Value = 11804

Hence, the value of her investment at the end of 7 years is $11804

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Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Answer:

Step-by-step explanation:

AB:

d = sqrt ( (−5−2)^2 + (−2−(−8))^2)

d = sqrt( (−7)^2 + (6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

BC:

d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

AC:

d = sqrt ( (−7−(2))^2+(3−(−8))^2 )

d = sqrt( (−9)^2 + (11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d = 14.21267

DE:

d = sqrt ( (−11−(-9))^2+(12−7)^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

EF:

d = sqrt ( (−2−(-11))^2+(1−12)^2 )

d = sqrt( (9)^2 + (-11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d =14.21267

DF:

d = sqrt ( (−2−(-9))^2+(1−7)^2 )

d = sqrt( (7)^2 + (-6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

Yes, the triangles are congruent because the lengths are the same.

Answer:

1.99 * 10^4

Step-by-step explanation:

Here, we want to write the addition in standard form

= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)

= 10,000 + 9000 + 900

= 19,900

so the number in standard form is;

1.99 * 10^4

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

2400 divided by 60 is equal to 40. The correct option is 3.

To find the expression that has a value of 40, to evaluate each expression:

1.

240 divided by 60:

Divide 240 by 60 is equal to 4.

So, this is incorrect option.

2.

2400 divided by 6:

Divide 2400 by 6 is equal to 400.

So, this is incorrect option.

3.

2400 divided by 60:

Divide 2400 by 60 is equal to 40.

So, this is correct option.

4.

2400 divided by 600:

Divide 2400 by 600 is equal to 4.

So, this is incorrect option.

Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).

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Answer:

x=-.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4 = -2(x - 5)

y + 4 = -2x + 10

y = -2x + 6

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

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Oh wait I think I know the answer, c.

Answer:

C

Step-by-step explanation:

angle DAB = angle CBA

angle DBA = angle CAB

line AB = line AB

Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

Answer:

nonstatistical

Step-by-step explanation:

Have a great day and hope this helps

Answer:

statistical

Step-by-step explanation:

i did it

Answer:

75%

Step-by-step explanation:

add them together

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

Answer:

2 big

30 small

Step-by-step explanation:

possibility

Answer:

Thank you and please rate me as brainliest as it will help me to level up