Caroline drove 350 miles to the beach the trip took her 5 1/4 hours what was her average speed in miles per hour?

Answers

Answer 1

1.111 repeating miles an hour

Answer 2

Use the formula d = rt to figure this out, where d is distance, r is the rate of travel, and t is the total amount of time taken to travel the distance, d.

So the equation would be 350 = 5.15r (I converted 5 1/4 to a decimal to make it easier.) Now we simply need to solve for the variable r to get the final answer.

Once the equation is solved for r, the final answer is ABOUT 68 mph. So, Caroline drove at an average speed of 68 miles per hour.

Related Questions

What is 45.99 pounds rounded to the nearest tenth of a pound

Answers

i think it would be 46.00 pounds

Here is your answer: 45.99 rounded=46.00 Your answer is 46.00 lbs

The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?

A) 36 girls
B) 26 girls
C) 24 girls
D)58 girls

Answers

your answer would be B 26 girls

Answer:

The answer is 36 girls because 3:2 is 13x3 which equals 39 and 12x3=36. The ratio is 39 boys to 36 girls.

Not 26 girls.

A pronghorn antelope can travel 105 miles in 3 hours if it continues traveling at the same speed, how far could it travel in 11 hours?

Answers

you find average speed with distance/time

average speed is 35 mph

if you multiply is by 11 you get your answer which is 385 miles

the parabola y=x^2 is shifted up by 4 units

Answers

so it's
[tex]f(x) = x ^{2} + 4[/tex]

By rigid transformations, the image of the parabola y = x² is equal to parabola y = x² + 4.

How to determine the image of a parabola

In this problem, we need to determine the image of a parabola by means of a rigid transformation known as vertical translation:

y = f(x) → y = f(x) + k, where k represents a translation upwards and f(x) is the original function.

If we know that f(x) = x² and k = 4, then the image of the function is:

f(x) = x² + 4

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State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease . Round to the nearest whole percent

Original : $100
New : $59

Answers

Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing

Please help, need as soon as possible

Answers

An arithmetic sequence is one where you add (or subtract) a certain number to change the value. For the first sequence, it's clear that we subtract 4 every time, so that is arithmetic. Next, we constantly go from positive to negative, so we can be sure that we don't add the same number every time. For the third one, (-5.0-(-8.6))=3.6, and for -1.4-3.6 we get -5, showing that we add 3.6 for every value and the sequence is therefore arithmetic. For the fourth one,
(-3.1-(-6.2))=3.1, but -1.55-3.1 is not 3.1, showing that that is not arithmetic. For the last one, 3-(-3)=6, 9-3=6, etc. proving that you add 6 every time and the sequence is therefore arithmetic.

Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

Write an inequality that represents the test scores of 60% of his students?

Answers

60% < 5 I hope i helped i didnt realy get it the quetion is unclear. the signal is also suppose to be a equal sign.

Answer:

[tex]70\leq x\leq 80[/tex]

Step-by-step explanation:

Let x represent the test scores of 60% of his students.

We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

We will use tolerance formula to solve our given problem.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

[tex]|x-75|\leq5[/tex]

Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:

[tex]-5\leq x-75\leq5[/tex]

[tex]-5+75\leq x-75+75\leq5+75[/tex]

[tex]70\leq x\leq 80[/tex]

Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.

A $1, $5, $10, $20, $50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill.

IS THIS SITUATION A FUNCTION OR NOT???

Answers

Yes this is a function

what is the measure of jl

Answers

The measure of JL is:

A. 64

32 is the measure of JKL. By multiplying 32 by 2 you will get 64 which is the measure of JL

The measure of JL is A (64 degrees)

plz help!
The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?

A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.

Answers

They are equal in length. Reflection does not change length.

ROTATION DOESNT CHANGE LENGTH

Justine draws a square with an area of 150 square centimeters. What is the approximate length, in centimeters, of one side of the square? -2 cm -11 cm -12 cm -13 cm

Answers

The side length is the square root ofthe given area, or sqrt(150 sq cm).

This comes to s = 12.247 cm. Round that off to 12.2 cm or even 12 cm.

The approximate length is 12 centimeters, of one side of the square which is the correct answer would be an option (C).

What is the square?

A square is a closed two-dimensional object with four equal-length sides and all interior angles of exactly 90 degrees.

The diagonal of the square is the distance between two vertices on opposing sides. A square has two diagonals of equal length.

We have been given that Justine draws a square with an area of 150 square centimeters.

The area of the square = (length of the side)²

150 square centimeters = (length of the side)²

Length of the side = √(150)

Length of the side = 12.24744

Rounded the nearest hundredth and we get

Length of the side = 12.24 centimeters

Therefore, the approximate length is 12 centimeters, of one side of the square.

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use the subtraction property of equality to complete the following statement if RS + St = RT then RS =

Answers

Use the subtraction property of equality to complete the following statement if RS + St = RT then

RS = RT - ST

RS=RT-ST........ <3
Just you know one value you so make a problem with subtraction equal it.

two decreased by a half of a number is 1/2 of the number

Answers

Answer: The number is: "2" .
_______________________________________________________
The expression is: 2 − (½)x = (½)x ;
→ in which "x" is the "unknown number".
_______________________________________________________
Explanation:
______________________________________________________
Given:
_________________________________________________________
"Two decreased by a half of a number is one-half of the number" ;

Let "x" represent the "unknown number" for which we wish to solve;

Write the expression as:
_________________________________________________
" 2 − (½)x = (½)x " .
_________________________________________________
Note: Add "(½)x" to EACH SIDE of the equation:
_________________________________________________
2 − (½)x + (½)x = (½)x + (½)x ;

to get:
_________________________________________________
→ 2 = 1x ;

↔ 1x = 2 ;

↔ x = 2 .
_________________________________________________
Answer: The number is: " 2 " .
_________________________________________________

4. An angle of 200° is a/an _______ angle.

Answers

Hello There!

Angles under 90° are called acute angles
Angles that are 90° are called right angles
Angles that are between 90° and 180° are called obtuse angles
Angles that are 180° are called straight angles
Angles that are between 180° and 360° are called reflex angles.

An angle of 200° is a/an reflex angle.

Hope This Helps You!
Good Luck :)

- Hannah ❤

Reflex angle because straight is 180 and right is 90 and acute is less than 90
thanks hope this helps

What is the algebraic expression of the sum of 3 coins and c coins

Answers

the sum is: 3+c
there are 3 coins that you are added to a number, c.

How many 4-digit numbers can you write if you cannot use any other digits except 0, 1, and 2?

Answers

Final answer:

There are 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering that the first digit cannot be 0 and each position has a limited selection of digits.

Explanation:

To determine the number of 4-digit numbers that can be written using only the digits 0, 1, and 2, we must take into account that a 4-digit number cannot start with 0, which leaves us two choices for the first digit (either 1 or 2). For the subsequent three digits, we have three choices each (0, 1, or 2). Therefore, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position.

The explanation you provided is correct, and the calculation is accurate. There are indeed 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering the given conditions.

To summarize:

- The first digit has 2 possible choices (1 or 2).

- Each of the next three digits has 3 choices (0, 1, or 2).

So, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position:

\[2 \times 3 \times 3 \times 3 = 54.\]

Therefore, there are 54 possible 4-digit numbers that can be created following the given conditions.

The first digit has 2 possible choices, and each of the other three positions has 3 choices, which gives us a total of:

2 × 3 × 3 × 3 = 54 possible 4-digit numbers using the digits 0, 1, and 2.

Find the GCF of 22ab 2 c 2 and 40a 3 c 2.

4a 3b 2c 2
2ab 2c 2
4ac 2
2ac 2

Answers

Final answer:

The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.

Explanation:

When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.

To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.

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4/9x+1/5x=87 what is x

Answers

First you need to find a common denominator.

20/45x + 9/45x = 87

Combine like terms.

29/ 45x = 87

Multiply both sides by 45/29

x = 3,915 / 29

x = 135

Hope this helps!

Answer:

The value of x is 135.

Step-by-step explanation:

Given : Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]

To find : What is the value of x?

Solution :

Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]

Take LCM,

[tex]\frac{4x\times 5+x\times 9}{9\times 5}=87[/tex]

[tex]\frac{20x+9x}{45}=87[/tex]

[tex]\frac{29x}{45}=87[/tex]

[tex]x=\frac{87\times 45}{29}[/tex]

[tex]x=135[/tex]

Therefore, The value of x is 135.

Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
A.
3

B.
5

C.
15

D.
30

Answers

Saturday rate= 2400/1.5 which is 1600 meters per hour

Sunday rate =1800

Answer:

1800

Step-by-step explanation:

After m months, the height of a plant is 10+3m millimeters. How tall is the plant after 8 months? 3 years?

Answers

for 8 months it will be 34 mm. for 3 years it should be 118 mm

After 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

To find the height of the plant after 8 months and 3 years, let's first understand the pattern. The height is given by the equation ( 10 + 3m ), where ( m ) represents the number of months.

Height after 8 months:

Substituting ( m = 8 ) into the equation:

[tex]$ \text{Height} = 10 + 3(8) $[/tex]

[tex]$ \text{Height} = 10 + 24 $[/tex]

[tex]$ \text{Height} = 34 $[/tex] millimeters.

Height after 3 years (36 months):

Substituting ( m = 36 ) into the equation:

[tex]$ \text{Height} = 10 + 3(36) $[/tex]

[tex]$ \text{Height} = 10 + 108 $[/tex]

[tex]$ \text{Height} = 118 $[/tex] millimeters.

So, after 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

What could be the intersection of plane PRS and plane QRS?

A.
RS
←
→

B.
PR
←
→

C.
QS
←
→

D.
The planes need not intersect.

Answers

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS. So the answer choice is A.

In the year 2005, a total of 750 fish were introduced into a manmade lake. The fish population was expected to grow at a rate of 8.3% each year. What will the fish population be in 2050? Round to the nearest whole number. Enter your answer in the box.

Answers

Using the given information, we can create the following exponential function.
Let t be the number of years after 2005.
Let F be the fish population.
F = 750(1.083)^t

In this case, t = 45 (2050 - 2005 = 45)

F = 750(1.083)^(45)
= 27123.255...
Round to the nearest whole number.

F = 27123
That's the expected population in 2050.

Have an awesome day! :)

a = 750, the number of fish in the year 2005.
8.3% = 0.083, the growth rate
Let n = the number of years, counted from 2005.
Let a(n) = the number of fish after n years.

When n=1, a(1) = 750*1.083
When n=2, a(2) = 750*1.083²
When n=3, a(3) = 750*1.083³

Therefore, after n years, a(n) = 750*1.083ⁿ

The number of years between 2005 and 2050 is 2050-2005 = 45
Therefore in the year 2050, the number of fish will be
a(45) = 750*1.083⁴⁵ = 27123.26
We cannot have fractional fish, so a(45) =27123.

Answer: 27123

What is −12÷23 ?

−36

−24

−18

−8

Answers

-12 / 23 = -0.52

so none of those are the correct answer.

if the 23 is suppose to be the fraction 2/3

then you have -12 / 2/3 which = -12 * 3/2 = -36/2 = -18

Answer:

hello your answer is -36

Step-by-step explanation:

1. 12 = 12/1 so we keep the first number then2. we change the division sign to times 3. flip the second number 2/3 is turned to 3/2 then multiply so 12/1 x 3/2 is 36/2 hope this helps have a nice day !

a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of fabric

Answers

If 8/8 is 1 yard then you would do 9*8 to get 72 and put that over 8 then divide that by 3/8 to get 576/24. then you would solve that to get 24, so the solution is the manufacturer can produce 24 pairs of shorts with 9 yards of fabric.

Help me please I need better grades

Answers

Answers:
_______________________________________________________
Question 1: The answer is: " [tex] \frac{1}{6}[/tex] " .
_______________________________________________________
Question 2: The answer is: " -12.8 ".
_______________________________________________________
Question 3: The answer is: " 12.3 " .
_______________________________________________________
Explanation:
_______________________________________________________
Question 1:
_______________________________________________________
(-4/3) − (-3/2) = [tex] \frac{-4}{ 3} [/tex] + [tex] \frac{3}{2}[/tex] ;

→ The least common multiple (LCM) of the numbers "2" and "3" (which are the numbers in the denominators) is: "6" ; so we can convert each fraction value to the equivalent fraction with a denominator of "6" ;

→ [tex] \frac{-4}{3} [/tex] = [tex] \frac{?}{6} [/tex] ;

→ What value is the "?" ? ; → Look at the denominators.
→ (3 * ? = 6); → (6÷3 = 2).

→So; [tex] \frac{-4}{3} [/tex] = [tex] \frac{-4*2}{3*2} [/tex] ;
= [tex] \frac{-8}{ 6} [/tex] ;
_______________________________________________________
→ Now; → [tex] \frac{3}{2} [/tex] = [tex] \frac{?}{6} [/tex] ;

→ What value is the "?" ? ; → Look at the denominators.
→ (2 * ? = 6); → (6÷2 = 3).

→So; [tex] \frac{3}{2} [/tex] = [tex] \frac{3*3}{ 2*3} [/tex] ;
= [tex] \frac{9}{6} [/tex] ;
_______________________________________________________
Now, we can rewrite the problem:
________________________________
→ [tex] \frac{-8}{ 6} [/tex] + [tex] \frac{9}{ 6} [/tex] ;
= [tex] \frac{-8+9}{6}[/tex] ;
= [tex]\frac{1}{6} [/tex] .
_______________________________________________________
Question 2:
_______________________________________________________
" -3.9 − 8.9 " = - (3.9 + 8.9) = - 12.8 .
_______________________________________________________
Question 3:
_______________________________________________________
" 2.9 − (-9.4) " = 2.9 + 9.4 = 12.3 .
Note: Subtracting a negative number is "adding a positive number".
_______________________________________________________

How do you write 81/50 as a percentage?

Answers

so you take 81/50 x100 so 81/50=1.62.
1.62x100=162
=162%
hope this helps

pues hasta donde mi conocimiento me permite creo que 1.62%
si tenemos que tenemos una escala de 1 a 100%

SIMPLE QUESTION PLEASE HELP :(
Solve for all roots of the equation. Show all work for full credit. x3 + 216 = 0

Answers

trying to factor as a Difference of Cubes:

1.1 Factoring: x3-216

Theory:

A difference of two perfect cubes,  a3 - b3 can be factored into
              (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =
            a3+a2b+ab2-ba2-b2a-b3 =
            a3+(a2b-ba2)+(ab2-b2a)-b3 =
            a3+0+0+b3 =
            a3+b3

Check:  216  is the cube of   6
Check: x3 is the cube of   x1

Final answer:

The solution to the equation x³ + 216 = 0 is x = -6, by subtracting 216 from both sides and taking the cube root.

Explanation:

To solve the equation x³ + 216 = 0, you must first isolate the variable on one side of the equation. To do this, we can subtract 216 from both sides, giving us the equation x³ = -216.

Next, to solve for x, we need to take the cube root of -216. The cube root of -216 is -6, so x = -6 is the root of the equation.

In conclusion, the solution to the equation x³ + 216 = 0 is x = -6.

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John is calculating 6 % tax on an item in a store. He means to multiply the price of the item by 0.06, but he accidentally divides by 0.06. His answer is

a) correct

b) too small

c) too large

d) undefined

Please help me i need the answer!!

Answers

His answer is wrong and (c.) too large

Say his item is $100. With 6% tax, he would pay $106. If he was to divide it by 0.06 he would get 1666.66666. This answer is to large and therefore your answer is c, too large

Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?

Answers

Well you would just multiply 374 by 15 and that would be your answer

Eleanor can drive 5610 miles on 15 tanks of gas. All you do is take 374 and multiply it by 15.

What's the distributive property for 16+48

Answers

the distributive property is when you have, for example, 2(1+3), and you multiply the 2 by both terms and add them together. so 2(1+3) = 2(1) + 2(3) = 2 + 6 = 8.

so with 16 + 48, to show the distributive property, you could divide by any common factor of 16 and 48. some correct ways to do this are:

16 + 48 = 2(8 + 24)
16 + 48 = 4(4 + 12)
16 + 48 = 8(2 + 6)
16 + 48 = 16(1 + 3)

you're just dividing 16 and 48 by the outside term to get the 2 numbers in the ( )

(10+40) + (6+8)= distributive property for 16+48

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