A rental car company charges $75 per day to rent a car and $0.05 for every mile driven. Serenity wants to rent a car, knowing that:
She plans to drive 500 miles.
She has at most $340 to spend.

Write and solve an inequality which can be used to determine
x
x, the number of days Serenity can afford to rent while staying within her budget.

Answer:SOLUTION: The oldest child in a family of four children is twice as old as the yougest. The two middle children are 13 and 15 years old. If the average age of the children is 14.5 ,

Step-by-step explanation:

Answer:

Literally divide by 7 and you get -5

Answer:

n=29

Step-by-step explanation:

Not sure how to write  an equation for it.

But, I did 88 divided by 4 which is 22 then plus 7 29

88/4+7=n that is the best I can think of.

If a number n is decreased by 7 and then the result is multiplied by 4, the product is equal to 88. The equation is 4(n-7)=88 and value of n is 24.

Two or more expressions with an Equal sign is called as Equation.

Given,

a number n is decreased by 7 and then the result is multiplied by 4

Decreased means subtracted, the number seven is subtracted from n, which gives us n-2.

Then n-2 is multiplied by 4

4(n-2)

the product is equal to 88.

4(n-2)=88

Now we need to solve for n.

Apply distributive property on left hand side

4n-8=88

Add 8 on both sides

4n=96

Divide both sides by 4

n=24

Hence the value of number n is 24 and the Equation for sentence is 4(n-7)=88.

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Answer:

0.9, 0.75, 0.66, 0.62, 0.59

0.92, 0.85, 0.49, 0.38, 0.23

0.08, 0.11, 0.46, 0.51, 0.72

0.02, 0.1, 0.15, 0.33, 0.88

0.96, 0.79, 0.67, 0.4, 0.24

0.09, 0.28, 0.37, 0.4, 0.55

Answer:

11/18

Step-by-step explanation:

Answer: $1,634.62

Step-by-step explanation:

There are 52 weeks in a year. However, Sean does not get paid every week, he gets paid every other week. 52/2 = 26, thus he gets paid 26 times a year.

His annual salary is 42,500. To figure out his salary in each paycheck, divide the net salary by the number of pay periods per year. In this case 42,500/26.

42500/26 = 1,634.62 (rounded to the nearest cent)

Answer:

 G  The coordinates of the y-intercept are (0, 8).

Step-by-step explanation:

An exponential function does not have a vertical asymptote. This one has a horizontal asymptote at y = 0.

The y-intercept is the value of ...

 f(0) = 8(0.25^0) = 8(1) = 8 . . . . . the point (0, 8)

The graph includes the point ...

 (2, f(2)) = (2, 1/2)

$17 +1.54=$18.53×35hrs=648.55

10%of 17=1.7

5%=0.85

1%=0.17×4=0.68

0.68+0.85=1.53

maybe its A?

Answer:

33.3%

Step-by-step explanation:

she gained a third of what she originally had

Answer:

22,400

Step-by-step explanation:

If 36% passed that means 64% failed

64% of 35,000 would get you your answer

0.64(35,000)= 22,400

Answer:

12,600

Solution:

35,000 - students

x .36 - passing student

= 12,600 - student who failed

Answer:

11371.4

Step-by-step explanation:

delta math

The length of n is 11373.1 inches

For given example,

As we know for ΔNOP,

[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]

We know that the sum of all angle of triangle is 180°

For ΔNOP,

⇒ ∠N +∠O + P = 180°

⇒ 16° + ∠O + 163° = 180°

⇒ ∠O = 180 - 179

⇒ ∠O = 1°

The length of n is,

[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]

Therefore, the length of n is 11373. 3 inches

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Step-by-step explanation:

3x-2 when x=4

3(4)-2

12-2

=10

Answer:

Now he earns $11.66 per hour.

Step-by-step explanation:

6% raise

This means that now the employees will earn 100% + 6% = 106% = 1.06 of the previous amount they earned, that is, their previous earnings will be multiplied by 1.06.

Paul used to earn $11 an hour now he earns

Multiplying by 1.06

11*1.06 = 11.66

Now he earns $11.66 per hour.

Answer:

you show by adding step by step

Step-by-step explanation:Consider the function rule f(x)=9x-7.

a. Find f(4)

I

b. Find f(-2)

Show or explain how the equation 9x-7=65 can be solved using an "undoing process." Report a

solution to the equation.

C.

Answer:

QR, QS, Q

Step-by-step explanation:

It is found that Line segment QR is part of Line QS. Point Q is the vertex of angle

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

The point of their joint is called vertex of that angle.

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

A line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed.

We can conclude that Line segment QR is part of Line QS. Point Q is the vertex of angle

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Answer:

[tex]f(x) = 9x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Rule of the table

First, we calculate the slope(m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,27)[/tex]

[tex]m = \frac{27 -0}{3 - 0}[/tex]

[tex]m = \frac{27}{3}[/tex]

[tex]m = 9[/tex]

The table equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

So, we have:

[tex]y - 0 = 9(x - 0)[/tex]

[tex]y - 0 = 9(x)[/tex]

[tex]y= 9x[/tex]

Hence:

[tex]f(x) = 9x[/tex]

Answer:

f(x)=x

Step-by-step explanation:

if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!

Answer:

x= 256

Step-by-step explanation:

[tex]-\frac{5}{8}x=-160\\\\-[-\frac{5}{8}x]=-[-160]\\\\\frac{5}{8}x=160\\\\8[\frac{5}{8}x]=8[160]\\\\5x=1280\\\\\frac{1}{5}[5x]=\frac{1}{5}[1280]\\\\x=256[/tex]

Answer:

x=256

Step-by-step explanation:

Answer:

17 ^17

Step-by-step explanation:

Its power is bigger

You shouldn't be tricked because 31 is more than 17

Step-by-step explanation:

Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.

31¹³ < 32¹³

= (2⁵)¹³ = 2⁶⁵

= 2(2⁴)¹⁶ = 2 * 16¹⁶

< 16¹⁷ < 17¹⁷.

Hence 17¹⁷ is greater than 31¹³.

Answer:

[tex]a = 6[/tex]

Step-by-step explanation:

subtract 6.6 from both sides and you get the answer

Answer:

Mode

Step-by-step explanation:

The mode is the measure of the central tendency in which the number is appeared many times

As in the given situation

The 100 would be appear 3 times

So this represent the mode

Hence, the mode that measures the central tendency is most close and describe the math test performance

Answer:

first choice: y≥1/3 x+3 and 3x-y>2

Step-by-step explanation:

The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

The equation of the orange line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]

[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]

[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]

Open the bracket

[tex]y = \frac{1}{3}x -1 + 4[/tex]

[tex]y = \frac{1}{3}x + 3[/tex]

The inequality has a thick line, and the upper region is shaded.

So, the inequality is:

[tex]y \ge \frac{1}{3}x + 3[/tex]

The equation of the gray line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

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

[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]

[tex]y = 3 \times (x -1) + 1[/tex]

Open the bracket

[tex]y = 3x -3 + 1[/tex]

[tex]y = 3x -2[/tex]

The inequality has a dotted line, and the right region is shaded.

So, the inequality is:

[tex]y < 3x -2[/tex]

Rewrite as:

[tex]3x -2 > y[/tex]

So, we have:

[tex]3x -y > 2[/tex]

Hence, the system of linear inequalities is:

[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

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Answer:

A score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has the highest relative position.

Step-by-step explanation:

Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 or a score of 432 on a test with a mean of 396 and a standard deviation of 40.

In order to find the solution, we need to calculate the z score value for each test.

The z score formula: [tex]z = \dfrac{\bar{x} -\mu}{s}[/tex] where [tex]\bar{x}[/tex]  is the score, μ is the mean and s is the standard deviation.

Now for test 1:

Put [tex]\bar{x}=38, \mu=30 \text{ and } s=10[/tex] in the above formula.

[tex]z = \dfrac{38 -30}{10}[/tex]

[tex]z = 0.8[/tex]

For test 2:

Put [tex]\bar{x}=4.2, \mu=2.5 \text{ and } s=1.2[/tex] in the above formula.

[tex]z = \dfrac{4.2 -2.5}{1.2}[/tex]

[tex]z \approx 1.417[/tex]

For test 3:

Put [tex]\bar{x}=432, \mu=396 \text{ and } s=40[/tex] in the above formula.

[tex]z = \dfrac{432 -396}{40}[/tex]

[tex]z =0.9[/tex]

Since the z score value of test 2 is greater so a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has a highest relative position.

Answer:

2. 84= 0.84

3. 32%= 8/25

4. 32%= 0.32

Step-by-step explanation:

Answer:

0.196

Step-by-step explanation:

Let :

Expresso drink = A

Plain coffee = B

Food = F

P(A) = 0.56

P(B) = 0.44

P(F) = 0.40

P(F|A) = 0.35

P(F|B) = 0.30

Probability that a customer purchases a specialty expresso coffee and a food item :

P(F|A) =. P(F n A) / P(A)

P(F n A) = P(F|A) * P(A)

P(F n A) = 0.35 * 0.56

P(F n A) = 0.196

Answer:

I'm going to chose B sorry if that the wrong answer

Answer:

It's C

Step-by-step explanation:

Answer:

The y-component of the vector is approximately -67.844 meters.

Step-by-step explanation:

A vector [tex]\vec v[/tex] in rectangular form are defined by the following form:

[tex]\vec v = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex] (1)

Where:

[tex]r[/tex] - Magnitude, measured in meters.

[tex]\theta[/tex] - Direction with respect to +x semiaxis, measured in sexagesimal degrees.

Please notice that the y-component of the vector corresponds to the second component of the definition. If we know that [tex]r = 101\,m[/tex] and [tex]\theta = 222.2^{\circ}[/tex], then the y-component of the vector is:

[tex]y = r\cdot \sin \theta[/tex] (2)

[tex]y = (101\,m)\cdot \sin 222.2^{\circ}[/tex]

[tex]y \approx -67.844\,m[/tex]

The y-component of the vector is approximately -67.844 meters.

Answer:

12.5

Step-by-step explanation:

took this test