The cost of a car rental is $30 per day plus 20¢ per mile. You are on a daily budget of $94. Write and
solve an inequality to find the greatest distance you can drive each day while staying within your
budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.

Answers

Answer 1

Answer: Read carefully.

Step-by-step explanation:

STEP 1

determine inequality

Car rental= $30 per day

Mileage= $0.20 per mile

m= number miles driven

Add daily rental charge to the quantity of (number of miles driven multiplied by the per mile charge). This has to be less than or equal to the budget of $94 a day.

$30+ ($0.20 * m) ≤ $94

$30 + $0.20m ≤ $94

Hope this helps! Have an amazing day!


Related Questions

MATH MATH MATH MATHHHHHHHHHHHHHH

Answers

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

539,904 nearest 10 for my homwork

Answers

Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

Solve for x

A. 82
B. 98
C. 196
D. 164

Answers

Answer:

i think thAt it is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82

2. since the other angle is inscribed you would double you answer to get 164

What is the missing number in the synthetic division problem below?

A. 9
B. 8
C. -7
D. 2​

Answers

Your answer :

Your answer is B

Please help! I really need this other wise I’m going to fail! I can’t figure it out!

Answers

i think the answer is d. when you add everything in the punnet square you get 36x^2-3x-14.

A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?​

Answers

Answer:

The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].

(Algebra 2) help me please:( no links I will report please help me out )!!!

Answers

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:



It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make

Answers

She can find out answer by dividing 21÷3 and the answer is 7

She can make 7 bird house

7 is the answer of the question

21÷ 3

=7

Step-by-step explanation:

hope it is helpful to you

1. Alex was solving an equation with the variable x. Upon simplifying the equation, he
concluded that the equation has no solution. Which equation could be Alex's equation
after he simplified it?
B.
A X0
X2
C3=3
D4=5

Answers

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

can someone help me pls

Answers

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

help geometry please

Answers

Answer:

12

It would be easier to explain if the triangle and the parallelogram have their points named.

Some first hints: The area of a tri

angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.

Since then, we can write the area of the triangle as 1/2× h× 18= 9×h

we can write the area of the parallelogram as : 18×h

Since then, we can write the area of the compound as 9×h + 18×h= 27h.

Voila. I gues you can figure out the rest. Please ask more if you have trouble with this

Answer: 12

Step-by-step explanation:

Find the lengths of each segment

Answers

Answer:

KL = 5.3

Step-by-step explanation:

Base on proportionality theorem, we have the following equation showing the relationship between the segments:

4/6 = KL/8

Cross multiply

6*KL = 8*4

6*KL = 32

DIvide both sides by 6

KL = 32/6

KL ≈ 5.3

PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED! 1. In the figure below, a line intersects two parallel lines. Fill in the missing angles. a /b d e 42° C f f g (a) ​

Answers

Answer:

<a=138°

<b=42°

<c=138°

<d=138°

<e=42°

<f=42°

Step-by-step explanation:

<a is supplementary with the 42° angle:

<a=180°-42°=138°

<b and the 42° are vertical angles, so:

<b=42°

<c and <a are also vertical angles so:

<c=<a=138°

<d and <a are corresponding angles, so:

<d=<a=138°

<e and <b are corresponding angles, so:

<e=<b=42°

<f and the 42° angle are corresponding angles, so:

<f=42°

<g and <c are corresponding angles, so:

<g=<c=138°

What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?
1 1
1
25'5
25,125,625
1 1 1
25'125 '625
O 125, 25, 5
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer: 25,125,625

Step-by-step explanation:

edg 2

The Unit Circle

In a unit circle, the sine of the angle is represented by the vertical leg of the triangle. What is represented by the horizontal leg of the triangle?

a. cosecant of the angle
b. tangent of the angle
c. cosine of the angle
d. cotangent of the angle

Please select the best answer from the choices provided

Answers

Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

You come across a box of perfume what should you do Amazon

Answers

take it back to the original owner

Find the measure of x.
SOMEONE PLEASE HELP

Answers

Answer should be 20


4x5=20

Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?

Answers

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.

Answers

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.


What is the standard deviation of the distribution?


A) 1.16

B) 1.08

C) 1.41

D) 2.98

Answers

The answer is B I know this

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

Learn more about standard deviation here:

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What is the value of the expression 1/7 divided by 5 ?

Answers

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Learn more about the divide visit:

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Answers ASAP please I really need it

Answers

Answer:

x = 50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

180 - 75 = 105

2x + 5 = 105

now I subtracted both sides by 5

2x = 100

divide both sides by 2:

x = 100/2

x = 50

Have a nice day!

Three people split the cost of the last two lunch bills. The two bills were $18 and $15. How much did each person contribute?
Group of answer choices

$11

$15

$18

$33

Answers

$11 because you add the 2 and then divide by 3 and 18 plus 15 is 33 and 33 divided by 3 is 11

Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2

Answers

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

the table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till the trees were planted,





what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?​

Answers

Step-by-step explanation:

the equation :

Hn = 7n + 3

where :

Hn : the height of trees at year to-n

n : year to-n (n = 1,2,3,...)

so, the rate of change : increasing 7 feet per year.

The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.

What is the slope?

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

The rate of change also refers to the slope.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁).

Taking two points (1,10) and (3,24)

Slope associated with these;

(24-10)/(3-1) = 7

Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".

To learn more about slopes,

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To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________

a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.

Answers

I think the answer is A

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Does this graph below represent a function? (Yes or no)

Answers

Answer:yes

Step-by-step explanation: it represents a function

what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...​

Answers

Answer:

S10= -341

Step-by-step explanation:

1,-2,4,-8,16,.......

Sum of first 10 terms of geometric sequence

Sn=a(r^n-1)/r-1

where, a= first term

n= number of terms

r=common ratio

common ratio (r)= second term/first term

r=-2/1

r=-2

a=first term

a=1

n= number of terms

n=10

S10=1[(-2)^10-1]/-2-1

S10=(1024-1)/-3

S10=1023/-3

S10= -341

therefore, the sum of the first 10 terms is -342

the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m

Answers

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

Which graphed function has the same amplitude as m(x)?

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

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A graphic designer creates a logo in the shape of an ellipse. The equation x^2/64 + y^2/14.44 = 1, with units in centimeters,
represents the outer edge of the logo. How tall is the logo?
a. 3.8 cm
b. 7.6 cm
c. 8 cm
d. 16 cm

Answers

Using the equation of ellipse, the height of the logo is 7.6cm

What is equation for ellipse?

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

Learn more on equation of ellipse here;

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