Christine drives her car 144 miles and has an average of a certain speed. If the average speed has been 5 mph more, she could have traveled 168 miles in the same length of time. What was her average speed?

Answers

Answer 1

Let's make a system of equations:

144/x=y

168/(x+5)=y

So,

144/x=168/(x+5)

Solving using cross multiplication,

x=30


So, her average speed for driving 144 miles was 30 miles per hour.

-Hunter


Related Questions

Please help me with this !!!

Answers

Step-by-step explanation:

sorry bro, ìdk dis answer

G.O.O.G.L.E IT....MAYBE YOU WILL FIND THE ANSWER...


Please answer this question thank you

Answers

Answer:

74

Step-by-step explanation:

What I'm getting at, is that you need to add all the hour sold cups up, and then double it because she expects to sell twice as much. 15 + 11 +5 +6 = 37, and 37 doubled is 74

Answer:

74 cups

Step-by-step explanation:

Total for today: 37

6 + 5 + 11 + 15 = 37

Tomorrow is twice of today

2(37) = 74

I hope this helps!


Assume that the variable U represents a positive real number

Answers

Answer:

Step-by-step explanation:

Given the lengths of two sides of a triangle, write an inequality to indicate between which two numbers the length of the third side must fall. 8 and 13

Answers

Answer:

13-8<3rd<13+8 so

5<3rd<21

Step-by-step explanation:

The theorem of Angles-Sides Inequalities.

I got this question too in RSM

Answer: 5 and 21

Step-by-step explanation: look below

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 92 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.

Answers

The z score of a student who scores a 92 on the final exam is 2.67.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

Find out more on Z score at: https://brainly.com/question/25638875

In planning her​ retirement, Liza deposits some money at 3.5​% ​interest, with twice as much deposited at 4.5​%. Find the amount deposited at each rate if the total annual interest income is ​$2250.

Answers

a = amount deposited at 3.5%

b = amount deposited at 4.5%

we know that "b" is twice as much as "a", thus b = 2a.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]

we also know that whatever "a" amount is, their sum is 2250, thus

[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]

Evaluate the expression
cos(30°)=

Answers

Answer:

[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

Step-by-step explanation:

cos 30° is √3 /2

Also refer to the image attached

MARK ME AS BRAINLIST

Simplify the expression.

5(10 + g) + 14g + 4
A.
19g + 54
B.
9g + 44
C.
14g + 50
D.
15g + 15

Answers

Answer:

A. 19g+54

let me know if this helps :3

Step-by-step explanation:

PLEASE HELP ASP!!!!!!!!!!!A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and let the variable h represent height in feet.

In how many years will the trees be the same height?

Which system of equations can be used to solve this problem?




{h=1+4th=0.5+6t

{h=4+th=6+0.5t

{h=5th=6.5t

{h=4−th=6−0.5t

Answers

Answer:

4 Years

Step-by-step explanation:

1:0.5 = 2:1

So, every two years, the birch tree grows 1 foot more than the larch tree

Currently, they are 2 feet apart, so in 4 years, they will be the same height

1. Jacobson Animal Shelter has half as many cats as dogs.
The shelter has 30 dogs. How many total animals does the
shelter have?

Answers

Answer:

45

Step-by-step explanation:

30/2=15 +30=45

Answer:

The Jacobson Animal Shelter has 45 total animals.

Step-by-step explanation:

dogs = 30

cats = 30/2

cats = 15

dogs + cats = total

30 + 15 = total

45 = total

A woman is 69 1/2 inches tall and her son is 66 2/9 inches tall. How much taller is the woman?

Answers

Answer:

Find The InterestRs1000 rateRs10%isRs1200

What's the answer for 6m^2+18m+17=-3m^2+9

Answers

Answer:

m=−2/3 or m=−4/3

Step-by-step explanation:

Step 1: Subtract -3m^2+9 from both sides.

6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)

9m^2+18m+8=0

Step 2: Factor left side of the equation.

(3m+2)(3m+4)=0

Step 3: Set factors equal to 0.

3m+2=0 or 3m+4=0

m=−2/3 or m=−4/3

can you help me plz do it asap


What are the coordinates of point A?


On a coordinate plane, point A is 4 units to the left and 3 units down.

(–4, 3)

(3, –4)

(–3, –4)

(–4, –3)

Answers

The answer is (-4,-3)

*PLEASE HELP* *IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*

A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip? (include units)

Find slope:
Then find the average speed of the plane for the trip

Answers

Time taken=13:00-8:00=5hDistance=1500mi

[tex]\\ \rm\hookrightarrow Avg\: Speed=\dfrac{Total\: distance}{Time}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=\dfrac{1500}{5}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=500mph[/tex]

Step-by-step explanation:

150/50=50

So 50mph is average speed

Formula Used :-

Speed=Distance/Time

A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball's height h (in meters) after seconds is given by the
following
h = 3+302-57
Find all values of tfor which the ball's height is 13 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
х
5
?
Initial
height
ground

Answers

[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]

now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]

[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]

What is the surface area?
4 in
4 in
4 in
square inches

Answers

pretty sure you’re gonna have to give more info

You just bought a new laptop and paid an initial payment of $150.00. You will make 12 payments of $69.50. How much will the computer cost if your state charges 6% sales tax on the total sale.

Answers

The computer will cost $924.96 after 6% tax.

Total cost of laptop

The initial payment of the laptop made = $150.00

The remaining balance that would be made = 12 × 69.50

=$834

Therefore total cost of laptop before tax = 834 + 150

= $984

But tax is 6% of total cost =

[tex] \frac{6}{100} \times 984[/tex]

[tex] \frac{5904}{100} [/tex]

= $59.04

Therefore, total cost of laptop after tax = 984 - 59.04

= $924.96

Learn more about costs of products here:

https://brainly.com/question/24494976

Lincoln High School has 84 teachers. 12 of the teachers teach math. Of the 32 females teachers, 6 teach math.

What is the probability that a teacher is a woman or teaches math? Express your answer as both a fraction and a percetage.

Answers

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

How to determine the probability

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

[tex]Pr = \frac{38}{84}[/tex]

Simplify

[tex]Pr = \frac{19}{42}[/tex]

Express as percentage

[tex]Pr = 45.24\%[/tex]

Hence, the probability that a teacher is a woman or teaches math is 45.24%

Read more about probability at:

https://brainly.com/question/25870256

in
What is the area of this triangle?
inz
h = 5 in.
b = 10 in.

Answers

Formula 1/2bh

1/2(10)(5)

= 25 for area!

Hope this helps

Please help, thanks in advance

Answers

Answer:

D. [tex]\frac{45a^{16}c^{34}}{b^{27}}[/tex]

Step-by-step explanation:

Here you are...

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Brent and his family spent $21 for admission to the country fair. They bought two adult passes for six dollars each and three children passes for three dollars each. How much more money did Brents family spend on adults passes then children's passes?

Answers

They spent $3 more on adult passes. 6+6=12 3+3+3=9 12-9=3

0.45 as fraction in simplified form

Answers

Answer:

9/2

Step-by-step explanation:

0.45 = 45/100 = 9/20.

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Convert to fraction:

[tex]0.45[/tex]

Convert decimal to fraction:

[tex]\frac{45}{100}[/tex]

Reduce the fraction:

[tex]\frac{9}{20}[/tex]

6.82×105 minus 3.11×104

Answers

Answer:

Simplify the expression.

answer :

392.66

Step-by-step explanation:

Answer:

392.66

Step-by-step explanation:

Our equation at first is (6.82x105) - (3.11x104)

We first multiply 6.82 and 105 and we get 716.1

Now our equation is 716.1 - (3.11x104)

Now we multiply 3.11 and 104 and we get 323.44

We now subtract 716.1-323.44 and we get our final answer of…

392.66!

Please award brainliest if possible!

The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 65,000
citizens answered the question, how many chose Dogs or Snakes?

Answers

Answer:

Dogs: 14,300 people

Snakes: 3,900 people

Urgent, please reply as soon as possible! 30 points on brainly!
The above graph shows the acceleration of an object. use the information from the graph to answer the following question. During which section of the graph is there no acceleration? Explain why or why not.

Answers

Answer:

during section b

Step-by-step explanation:

the line is flat

Answer:

Yes beavause the graph goes up and then straight down

Step-by-step explanation:

can you answer my question?

Ling deposited $70 in a savings account earning 10% interest, compounded annually To the nearest cent , how much will she have in 3 years?

Answers

Answer:

$9.93

Step-by-step explanation:

sorry if it doesn't help.

Fraction………………..::::::

Answers

Answer:

0.45

Step-by-step explanation:

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{12}{25}\times\dfrac{15}{16}}[/tex]

[tex]\mathsf{= \dfrac{12\times15}{25\times16}}[/tex]

[tex]\mathsf{= \dfrac{180}{400}}[/tex]

[tex]\mathsf{= \dfrac{180\div5}{400\div5}}[/tex]

[tex]\mathsf{= \dfrac{36}{80}}[/tex]

[tex]\mathsf{= \dfrac{36\div4}{80\div4}}[/tex]

[tex]\mathsf{= \dfrac{9}{20}}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{9}{20}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help me I will give you brainliest!

Answers

Answer:

data set 1 - y=x*3.5 data set 2 - y=x*3

Step-by-step explanation:

=======

Slope is 3.5 for first one second one is slope of 3

Hi help me please if you can

Answers

Answer:

277/8  =34.625

Step-by-step explanation:

please helpppppppppppp

Answers

Answer:

[tex] \frac{x - 3}{x} [/tex]

Step-by-step explanation:

[tex]f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} [/tex]

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