A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that. Nick only has $10 to spend on washing his car. Let m represent the number of minutes Nick spends washing his car.

Answers

Answer 1

the number of minutes m that Nick will spend washing his car given that he has $10 will be:
Cost for spending 5 min is $4, any additional minutes will be $0.75 per minutes.
amount of cash Nick will remain with after spending $4 will be:
10-4=$6
the total extra minutes he will spend will be:
6=0.75*m
0.75m=6
thus
m=6/0.75
m=8 min
the total number of minutes that Nick will spend with $10 will be:
8+5=13 min

Answer 2

Nick can spend a total of 13 minutes washing his car at the self-service car wash with his $10 budget, accounting for both the initial charge and the additional cost per minute after the first 5 minutes.

Nick is planning to use a self-service car wash that charges $4 for the initial 5 minutes and an additional $0.75 for each minute after that. With a budget of $10, he wants to calculate the number of minutes (m) he can spend washing his car. The cost for m minutes is given by the equation:

Total Cost = Initial Charge + (Additional Charge per minute * Number of extra minutes)

First, subtract the initial charge from the total amount Nick has:

$10 - $4 = $6

This is the amount remaining for the additional minutes. Next, divide this by the additional charge per minute:

$6 / $0.75 per minute = 8 minutes

Therefore, Nick can spend 8 minutes washing his car after the initial 5 minutes, for a total of 13 minutes.

Related Questions

What is the value of h?

Answers

The value of x can be found by adding the two angles and setting them equal to 180 because they are on a straight line.

3h + 18 + 15h = 180
18h + 18 = 180
18h = 162
h = 9

So the value of h is 9

Answer:

Step-by-step explanation:

H=9 is the answer

Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. what is the expected value of m, the mean of the distribution of sample means?

Answers

Answer:
80

Explanation:
The mean of the distribution of sample means always target the population mean. What this line tells is that whatever the population mean will be, the mean of the distribution of sample means will be same. Since the population mean is 80, the mean of distribution of sample means will also be 80.

However, the standard deviation of the sample distributions is different and is equal to the population standard deviation divided by square root of sample size. So in this case the standard deviation of distribution of sample means will be 6 .

For which set of lines is it reasonable to state that The two lines are ALMOST perpendicular to each other? A) y = 2.1x + 3, y = 2.1x + 5 B) y = 0.9x + 5, y = -1.26x + 8 C) y = 5x + 1.25, y = -5x + 1.25 D) y = 3 4 x + 0.28, y = 4 3 x + 0.29

Answers

Selection B is the best.

The product of the slopes of the lines is closest to -1 for that pair of lines.

Which of the following is equivalent to the expression below?

(8x + 10) + (13 - 8x)

A.
3
B.
8x + 23
C.
16x + 23
D.
23

Answers

= x(8 -8) +(10 +13)
= 0 +23
= 23

Selection D is appropriate.

what is the product of (2p+7)(3p^2+4p-3)

Answers

we know that
(2p+7)(3p²+4p-3)=2p*[3p²+4p-3]+7*[3p²+4p-3]
resolving by parts

part 1
2p*[3p²+4p-3]=6p³+8p²-6p

and
part2
7*[3p²+4p-3]=21p²+28p-21

adding part 1 and part 2
[6p³+8p²-6p]+[21p²+28p-21]=6p³+29p²+22p-21

the answer is (6p³+29p²+22p-21)

What value is equivalent to ∣ −14 ∣?

Answers

It is positive 14
The absolute value of any negative number becomes positive.

Your answer is 14

The two lines on each sides mean the number is an absolute value. The absolute value of a number is always positive, even if the number is positive itself!

Hope this helps!

The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers. Find the two integers.

Answers

Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as [tex] \frac{1}{x} [/tex] and [tex] \frac{1}{x+2} [/tex] respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

[tex] \frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24} [/tex]

Taking LCM on left hand side:

[tex] \frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ \frac{2x+2}{ x^{2} +2x}= \frac{7}{24} [/tex]

Cross Multiplying the denominators:

[tex]24(2x+2)=7({ x^{2} +2x}) \\ \\ 48x+48=7 x^{2} +14x \\ \\ 7 x^{2} +14x-48x-48=0 \\ \\ 7 x^{2} -34x-48=0 \\ \\ [/tex]

Using the quadratic formula to solve the above equation:
[tex]7 x^{2} -34x-48=0 \\ \\ x= \frac{34+- \sqrt{1156+1344} }{14} \\ \\ x= \frac{34+- \sqrt{2500} }{14} \\ \\ x=\frac{34+-50 }{14} \\ \\ x=6 \\ x=- \frac{8}{7} [/tex]

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

152.5225 to two decimal places

Answers

152.52 is your Answer

If you want 152.5225 2 decimal places to the left:
1.525225
If you want 152.5225 2 decimal places to the right:
15252.25

Hope this helps..... ;)

What is decomposing fractions

Answers

Explanation:

"Decomposing fractions" means breaking them into a sum of fractions, often unit fractions (fractions with a numerator of 1). Here are a few examples:

3/8 = 1/8 + 1/8 + 1/8

5/6 = 1/2 + 1/3

3/4 = 1/2 + 1/4

Does 3pi/5 have a supplementary angle?

Answers

If two angles are supplementary, then their measures add to 180 deg.
Since 180 deg = pi rad, then supplementary angles are two angles whose measures add to pi rad.

Since 3pi/5 is less than 1 rad, then there is an angle that is supplementary to an angle measuring 3pi/5. The measure of the supplement is 2pi/5.

What is the equation for the vertical asymptote of f(x)= (x+2)/(4x+4)

Answers

Try this option:
if [tex]f(x)= \frac{x+2}{4x+4} [/tex]
then according to
[tex] \lim_{x \to (-1-0)} ( \frac{x+2}{4x+4})=+ \infty[/tex]
and [tex]\lim_{x \to (-1+0)} ( \frac{x+2}{4x+4})=- \infty[/tex]
an equation for vertical asymptote is x=-1.
The graph of this function is in the attached picture.

Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours?

Answers

Answer:

5 bicycles

Step-by-step explanation:

In the same time period (8 hours), half as many mechanics can assemble half as many bicyles: 10/2 = 5.

10 Points Here come get them

Answers

The answer is option D. (15°)

Two angles are said to be supplementary when both angles together make a straight line. Since the measure of a straight line is 180°, it then follows that the sum of two supplementary angle is 180°

Let the unknown angle = x
x is supplementary to 165°
⇒ x + 165° = 180°
x = 180° - 165°
x = 15°

The answer to this is d. 15.

Supplementary angles are two angles that equal to 180. So you take the known angle (165) and subtract it from 180 to find the other angle measure.

180-165=15

15 is your answer.

There are 1,505 fruits for sale at at farmer’s market. 39% of them are apples, 28% are oranges, 13% are honeydrew melons, and the rest are watermelons. How many watermelons are there ?

Answers

100% - (39% + 28% + 13%) = 100% - 80% = 20%
so 20% are watermelons.

20% of 1505...
0.20(1505) = 301

so 301 are watermelons

Answer:

Step-by-step explanation:

PLEASEEEEE HEEEEEELPPPPPPPPPPPPPPP

Suppose ABCD is a rhombus such that the angle bisector of ∠ABD meets AD at point K. Prove that m∠AKB = 3m∠ABK.

Answers

1. Let m∠ABK=x°. Since line BK bisects ∠ABD, then

m∠ABK=m∠KBD=x°.

Also m∠ABD=m∠ABK+m∠KBD=2x°.

2. The diagonal BD of rhombus ABCD bisects ∠ABC, then

m∠ABD=m∠DBC=2x°.

This gives you that

m∠ABC=4x°.

3. Angles A and B are supplementary, so

m∠A+m∠B=180°,

m∠A=180°-4x°.

4. Consider triangle ABK. The sum of the measures of interior angles in triangle is always 180°, thus

m∠A+m∠ABK+m∠AKB=180°,

m∠AKB=180°-x°-(180°-4x°),

m∠AKB=3x°=3m∠ABK.

Answer:

Given information: ABCD is a rhombus, angle bisector of ∠ABD meets AD at point K.

[tex]\angle ABK\cong \angle DBK[/tex] (Definition of angle bisector)

[tex]m\angle ABK=m\angle DBK[/tex] (Definition of concurrency)

Let as assume the measure of angle ABK is x.

[tex]m\angle ABK=x[/tex]

[tex]m\angle ABD=m\angle ABK+m\angle DBK[/tex]

[tex]m\angle ABD=x+x[/tex]

[tex]m\angle ABD=2x[/tex]

All sides of a rhombus are same.

Since AB=AD, therefore ABD is an isosceles triangle and two angles of an isosceles triangle are congruent.

[tex]m\angle ADB=m\angle ABD[/tex]

[tex]m\angle ADB=2x[/tex]

According to exterior angle theorem, sum of two interior angles of a triangle is equal to third exterior angle.

Using exterior angle theorem, we get

[tex]m\angle AKB=m\angle ADB+m\angle DBK[/tex]

[tex]m\angle AKB=2x+x[/tex]

[tex]m\angle AKB=3x[/tex]

[tex]m\angle AKB=3(m\angle ABK)[/tex]

Hence proved.

How do you solve 7.2>0.9(n+8.6)

Answers

7.2>0.9(n+8.6)
multiply 0.9 by all in parentheses

7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74

subtract 7.74 from both sides
-0.54> 0.9n

divide both sides by 0.9
-0.6> n

ANSWER: -0.6> n

Hope this helps! :)

After solving the given equation, the value obtained for n will be equal to n < -0.6.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the equation given in the question,

7.2 > 0.9(n + 8.6)

Solve the equation for n,

7.2 > 0.9n + 7.74

7.2 - 7.74 > 0.9n

-0.54/0.9 > n

-0.6 > n or,

n < -0.6

To know more about equation:

https://brainly.com/question/29657983

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Can someone help please? solve by system on inequalities solve each system by graphing

Answers

If you're going to solve by graphing, a graphing calculator is helpful.

The doubly-shaded area to the right of both lines is the solution space. The line at the upper boundary of that space is also part of the solution. The line at the lower boundary is not. The marked point where the lines intersect is not part of the solution space.

×
[tex] \frac{x}{4} = \frac{6}{12} [/tex] solve the proportions

Answers

To solve a problem like this, you can use a method called cross-multiplying. This is when you multiply the denominator of the first fraction by the numerator of the other and then multiply the two remaining numbers.

[tex] \frac{x}{4} = \frac{6}{12} [/tex] To make this easier on yourself, simplify first!
[tex] \frac{x}{4} = \frac{1}{2} [/tex] Multiply x by 2 and multiply 4 by 1.
2x = 4 Divide both sides by 2.
x = 2

You can check this by comparing the fractions with 2 in the place of x.

[tex] \frac{2}{4} = \frac{6}{12} [/tex] Simplify!
[tex] \frac{1}{2} = \frac{1}{2} [/tex]

The fractions are equal, so x = 2 .

If an object is projected upward with an initial velocity of 125 125 ft per sec, its height h after t seconds is h equals negative 16 t squared plus 125 t h=−16t2+125t. Find the height of the object after 5 5 seconds.

Answers

for this problem all we need to do is ignore everything except the equation and the input (5.5)

so the steps for this problem are below
we need to plug in 5.5 into our equation as it's our input of time to get our output of height
[tex]t(5.5) = - 16(5.5) {}^{2} + 125(5.5)[/tex]
after simplifying you get

remember to square the 5.5 first (order of operations)

[tex]t(5.5) = - 16(30.25) + 687.5[/tex]

simplify just a tad more and we get this as the final answer
[tex]t(5.5) = - 484 + 687.5 = 203.5[/tex]
[tex]203.5 \: ft[/tex]

244 ft I’m pretty sure

Help with this math question please

Answers

Re-arranging the inequality to find the test points:

[tex]x- \frac{70}{x}\ \textless \ -3 \\ \\ x- \frac{70}{x}+3\ \textless \ 0 \\ \\ \frac{ x^{2} -70+3x}{x}\ \textless \ 0 \\ \\ \frac{(x-7)(x+10)}{x}\ \textless \ 0 [/tex]

This means, we need to test the inequality for x = -10, x = 0 and x = 7

Since question assumes that x > 0, so we ignore the values less than 0.
So the test points are x = 0 and x = 7

At x = 0 the expression is undefined.
Between x = 0 and x = 7 the value of expression [tex] \frac{(x-7)(x+10)}{x}[/tex] is negative. At x = 7 the value of expression is 0. Above x = 7 the value of expression is positive.

So, the solution to the given inequality will be 0 < x < 7.
In Interval notation, the solution can be written as (0,7)

In a local survey, 100 citizens indicated their opinions on a revision to a local land use plan. of the 62 favorable responses, there were 40 males. of the 38 unfavorable responses, there were 15 males. if one citizen is randomly selected find the probability a male and has a favorable opinion

Answers

This is a conditional probability.
Denote the events like this:
F: Getting a favorable response .
First compute the number of participants: 62+38= 100.
The number of Male with favorable opinion: 40.
We deduce the probability:
[tex]P(F\vert M)=\dfrac{40}{100}=\dfrac{2}{5}[/tex]

The probability that a male and has a favorable opinion is selected is 2/5

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]

Permutation ( Arrangement )

Permutation is the number of ways to arrange objects.

[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]

Combination ( Selection )

Combination is the number of ways to select objects.

[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]

Let us tackle the problem.

This problem is about Probability.

Given:

Of the 62 favorable responses, there were 40 males and 22 females.

Of the 38 unfavorable responses, there were 15 males and 23 females.

There were total (40+15) males = 55 males

Let P(M) = probability a male is selected

[tex]P(M) = \frac{\texttt{Number of Male Citizens}}{\texttt{Total Number of Citizens}}[/tex]

[tex]P(M) = \boxed{\frac{55}{100}}[/tex]

There were 62 favorable responses

Let P(F) = probability citizens has a favorable opinion is selected

[tex]P(F) = \frac{\texttt{Number of Favorable Opinion Citizens}}{\texttt{Total Number of Citizens}}[/tex]

[tex]P(F) = \boxed{\frac{62}{100}}[/tex]

Let P(M ∪ F) = probability a male or citizens has a favorable opinion is selected

[tex]P(M \cup F) = \frac{\texttt{Number of Favorable Opinion Citizens or Male Citizens}}{\texttt{Total Number of Citizens}}[/tex]

[tex]P(M \cup F) = \frac{40 + 15 + 22}{100}[/tex]

[tex]P(M \cup F) = \boxed{\frac{77}{100}}[/tex]

At last , the probability a male and has a favorable opinion could be calculated as follows:

[tex]P(M \cap F) = P(M) + P(F) - P(M \cup F)[/tex]

[tex]P(M \cap F) = \frac{55}{100} + \frac{62}{100} - \frac{77}{100}[/tex]

[tex]P(M \cap F) = \frac{40}{100}[/tex]

[tex]P(M \cap F) = \large{\boxed {\frac{2}{5}} }[/tex]

Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Algebra Functions and Data Analysis

Answers

Hello there!

The correct answer is option C (-∞,10)

Best of luck with your study!

f(x)=x^2-2x-1 and g(x)=5x-1/7x-3

find f(x+7) and g(x/2)

Answers

f(x + 7)
(x + 7)² - 2(x + 7) - 1
x² + 14x + 49 - 2x - 14 - 1
x² + 12x + 49 - 15
x² + 12x + 34
f(x + 7) = x² + 12x + 34

g(x/2)
5(x/2)² - 1/7(x/2) - 3
5(x²/4) - x/14 - 3
5x²/4 - x/14 - 3
g(x/2) = 5x²/4 - x/14 - 3

Which term is the perfect square of 3x4 ?

Answers

A perfect square is the product when a number is multiplied to itself. Hence,the square of (3x4) is (3 x 4 x 3 x 4). We can rearrange this and have (3 x 3) x (4 x 4) which gives you 9 x 16. We now have the perfect square of (3x4) re-written as (9 x 16). Thus, the answer is: 9 x 16.

Hope it helps m8!

Answer:

just took the test answer is D

Step-by-step explanation:

What is the beat estimate for the quotient? 591.3 device by 29

Answers

Hi there!

To estimate, we can round:

591.3 is approximately 600
29 is approximately 30

Now, we divide:

600 / 30 = 20

Hope this helps!

Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months. What should he change in the function to reach this goal? A) Change the amount he adds each month to $50. B) Change the amount he adds each month to $40. C) Change the y-intercept of the linear function to $20. D) Change the y-intercept of the linear function to $50.

Answers

he will need 200 more in 4 months
200/4 = 50
so A) Change the amount he adds each month to $50.

Answer:

Its A i did USAtestprep

Step-by-step explanation:

Can someone explain? Please help! 15 pts!!!!

Answers

Let
x--------------> the third stone measure

we know that
the recommended height for the bench is ------> 20 in
20=[4 3/8]+[4 1/2]+[5 1/4]+[x]
4 3/8---------> (4*8+3)/8=35/8
4 1/2---------> (4*2+1)/2=9/2
5 1/4---------> (5*4+1)/4=21/4

20=[35/8]+[9/2]+[21/4]+[x]

x=20-(35/8)-(9/2)-(21/4)

x=20-(35+4*9+2*21)/8-----> 20-113/8------- > (8*20-113)/8

x=47/8---------- > 5.875=5 7/8

the answer is 5 7/8 in

Mario buys 2 pounds of hamburger and 1 pound of sausage. Sausage costs 10 cents more per pound than hamburger. If the total cost of the meat is $5.50, what is the cost of the hamburger per pound?

Answers

Hamburger 1.80lbs sausage is 1.90lbs
1.80+ 1.80+ 1.90=$5.50

Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other 52 mi. before they each drop their anchors. What is the distance between the ships to the nearest mile?

Answers

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

[tex]\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}[/tex]

So, we use the cosine rule , which states that

[tex]c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03[/tex]

So, c = x= 106.03 mi.

Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

what fraction would you add to 29/6 to make 4

Answers

keeping in mind that 29/6 is greater than 4, is actually 4 and 5/6, so the amount we'll "add" will be a negative one.

[tex]\bf \cfrac{29}{6}+x=4\implies x=4-\cfrac{29}{6}\implies x=\cfrac{4}{1}-\cfrac{29}{6}\implies x=\cfrac{(6)4-(1)29}{6} \\\\\\ x=\cfrac{24-29}{6}\implies x=\cfrac{-5}{6}\\\\ -------------------------------\\\\ \cfrac{29}{6}+\left( -\cfrac{5}{6} \right)=4[/tex]

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