Find how long it takes a person to drive 94 miles on a highway if she merged into a highway at 1pm and drives nonstop with her cruise control set on 40mph

Answers

Answer 1

Answer:

2.35 hrs

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm


Related Questions

what are the sides of the isosceles triangle​

Answers

The sides of the isosceles triangle are two equal legs and the remaining side is called base.

mylar balloons cost $1.25 each, and latex balloons cost $0.75 each. What equations can be used to find the number of each type of balloon in a bunch of 18 balloons that cost $19?

Answers

Answer:

Mylar Ballons: 11

Latex Balloons: 7

Step-by-step explanation:

1.25 times 11 equals 13.75

.75 times 7 equals 5.25

5.25+ 13.75 equals 19

11 + 7 equals 18.

Hope this helps you :)

Two cities are 243 miles apart
It takes a train 4 hours to travel between the two cities at a constant speed.
A car travels between the two cities at a constant speed of 65 miles per hour.
Which is traveling faster, the car or the train? Explain your reasoning.

Answers

Answer:

The car is travelling faster.

Step-by-step explanation:

Given that,

Distance between two cities = 243 miles

Time of train = 4 hours

Speed of car = 65 miles/hours

We need to calculate the speed of train

Using formula of speed

[tex]v=\dfrac{d}{t}[/tex]

Where, d = distance

t = time

Put the value into the formula

[tex]v=\dfrac{243}{4}[/tex]

[tex]v=60.75\ miles/ hours[/tex]

Hence, The car is travelling faster.

Is 17.5 a rational or irrational?

Answers

17.5 is a rational number. We know this because it can be written in the form a / b where a and b are integers. In this case, 17.5 = 35 / 2 so a = 35 and b = 2. Hope this helps!

It’s bath time while filling the tub dad used the last capful of bubble bath.after doing quick search for more to buy he notices that he can get 36oz for $3.79 or 24 oz for $2.89. Which of these options is the better deal ?

Answers

If you divide the price by the number of ounces, you will get how much you are paying for a single ounce.

[tex]\frac{3.79}{36}[/tex] ≈ 0.11 dollars per ounce

[tex]\frac{2.89}{24}[/tex] ≈ 0.12 dollars per ounce

As you can see, you are paying about 0.01 dollars more for every ounce of bubble bath in the second option. So you are better off buying 36 ounces for 3.79 dollars.

You can also do this buy dividing ounces by dollars.

[tex]\frac{36}{3.79}[/tex] ≈ 9.5 ounces per dollar

[tex]\frac{24}{2.89}[/tex] ≈ 8.3 ounces per dollar

Again, you can see that you get about 1 more ounce for every dollar you pay in the first option. So 36 ounces for 3.79 dollars is the way to go.

Amanda wants to pay the same amount each month on her car loan. The number of the payment various inversely with the monthly payment amount. If each monthly payment is $175, she makes 48 payments. how much would her monthly payment be if she wanted to pay off the loan in 30 Months?

Answers

Answer:

$280

Step-by-step explanation:

175 x 48 = 8400

8400 / 30 = 280

−4 + 2 and −4 + (−2) on a number line.

Answers

Answer:

Step-by-step explanation:

-4 + 2 = -2

-4 + (-2) = -6

Need help with this, thank you

Answers

Answer:

65

Step-by-step explanation:

40 + 75 = 115

180 - 115 = 65

Answer:

x=65

Explaination

x+75+40=180

or,x+ 115=180

or, x=180-115

or x= 65

Please help! will give brainliest!!

Answers

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

Several families are in line to enter a water park. The first family pays $54 for two adult tickets and two child tickets. The second family pays $105 for 3 adults and 5 children. What are the ticket prices for children?

Answers

Answer:

adult tickets 15

child tickets  12

Step-by-step explanation:

2x + 2y = 54   L1

3x + 5y = 105  L2

3L1 - 2L2

6x + 6y = 162

-6x - 10y = -210

-4y = -48

y = -48/-4

y = 12

2x + 2y = 54

2x +2(12) = 54

2x + 24 = 54

2x = 54 - 24

2x = 30

x = 15

consider the scatterplot. which data set does the scatter plot represent? a.(7, 8), (2, 12), (8, 5), (8, 4), (9, 5), (4, 14), (5, 9), (6, 7), (2, 15) b.(1, 15), (7, 8), (2, 12), (8, 5), (3, 8), (9, 4), (4, 14), (5, 9), (6, 7) c.(15, 1), (8, 7), (12, 2), (5, 8), (8, 3), (4, 9), (14, 4), (9, 5), (7, 6) d.(1, 2), (15, 12), (3, 4), (8, 14), (5, 6), (9, 7), (7, 8), (8, 5), (9, 4)

Answers

The answer is B ( 1,15) (7,8) (2,12) (8,5) (3,8) (9,4) (4,14) (5,9) (6,7)

PLEASE HELP WILL MARK AS BRAINLIEST THE QUESTION IS BELOW

Answers

Answer:

Step-by-step explanation:

First you have to split the shape into 2. I split the box so that the little one's length is Z and width is x. Find the area of both boxes:

Box 1:

Z x X = ZX

Box 2:

Y x (Z + X) = Y(Z + X)  

So the overall area of the box is:

ZX + Y(Z + X)

I'm not quite sure how to explain this without pictures to show you but i hope this helps. Let me know if you have any questions

-3 + (-7)
Someone give me an explanation but use another example to show me

Answers

-3+-7....The answer is minus 10

Suppose we get 24 inches of snow tomorrow. Warm weather comes the next day. For the next several days it stays warm and begins to melt the snow. If the snow melts at 2.5 inches a day, how much snow will be left on the ground after 7 days?

Answers

Answer:

6.5 inches

Step-by-step explanation:

Suppose we get 24 inches of snow tomorrow

The next day becomes warm.

The weather remains warm for the next several days.

The snow melts at 2.5 inches a day

Therefore the amount of snow that will be left after 7 days can be calculated as follows

= 2.5 ×7

= 17.5

Since the initial amount of snow was 24 inches then,

24 -17.5

= 6.5

Hence the amount of snow that will be left on the ground after 7 days is 6.5 inches

Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got x x questions wrong

Answers

Answer:

see below

Step-by-step explanation:

She got 3 questions wrong

3*5 = 15

She missed 15 points

40-15 = 25

She got 25 points right

25/40 =.625 =62.5%

If she got x questions wrong

5x is the points missed

40 -5x is the points correct

(40-5x)/40 = score  

Answer:

25pts

Step-by-step explanation:

slice 4z - 4.4 = 3.6

A. z=0.3
B z= -0.3
C. z= -2
D. z= 2

HELPPP​

Answers

Use Photomath is works great!

Answer:

D. z = 2

Step-by-step explanation:

4z - 4.4 = 3.6  also means 4z = 3.6 + 4.4  which is 4z = 8

4 times 2 = 8

For proof do 4 times 2 minus 4.4 = 3.6

Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15

Answers

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

     + 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

Answer:

x = 7.667

Step-by-step explanation:

3x - 8 = 15 (Rearrange expression)

-8 - 15 = -3x (Combine like terms)

-23 = -3x (Divide)

x = 7.667

Need help ASAP
How many cups of water are needed to make 2 servings of soup?
8 cups of water = 10 servings​

Answers

Answer:

  1.6 cups

Step-by-step explanation:

2 servings is 1/5 of 10 servings, so the amount of water needed is 1/5 of 8 cups.

  (1/5)(8 cups) = 8/5 cups = 1.6 cups

1.6 cups of water are needed for 2 servings.

please help me i know my shapes but i dont know if this is a square well i know what a square is but i just want to make sure 12.5 point BRAINLYEST.

Answers

Answer:

Right now its a parallelogram

Step-by-step explanation:

If you want to make it a square then just move the dots

im pretty sure thats right, if not sorry

Please help me

Which of the following is not equivalent to
3/4

A. 0.75
B. 3:4
С. 75%
D. 4:3

Answers

Answer:

C: 75%

D. 0.75

Step-by-step explanation:

Both numbers are the same and they both are equivalent to 3/4.

Answer:

C. 75%


D. 0.75

What are the coordinates of the point that divides the segment into a 3:2 ratio?

Answers

Answer:

(–2.2, –1.2)

Step-by-step explanation:

o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:

Δy=║-4-3║=7

Δx=║-1-(-4)║=3

Then we divide those differences by 5.

7/5=1.4

3/5=0.6

and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).

Px=-4+3*0.6=-2.2

Py=3-3*1.4=-1.2

so the coordinates of the point we are looking for (which I called "P") are:

P(-2.2, -1.2).

What is the image of (-7,-1) after a dilation by a scale factor of 4 centered at the origin

Answers

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

Give the equation of a line that goes through the point ( − 24 , 2 ) and is perpendicular to the line 8 x + 3 y = − 6 . Give your answer in slope intercept form

Answers

Answer:

[tex]y=\frac{3}{8}x+11[/tex]

Step-by-step explanation:

To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.

We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.

We can find the slope of that line by putting it in slope-intercept form:

8x + 3y = -6

Subtract 8x from both sides.

3y = -6 - 8x

Divide both sides by 3.

[tex]y=-\frac{6}{3}-\frac{8}{3}x[/tex]

[tex]y=-\frac{8}{3}x-2[/tex]

So the slope of that line would be -8/3.

The negative reciprocal of -8/3 would be 3/8.

Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:

[tex]y-2=\frac{3}{8}(x+24)[/tex]

Now lets change this into slope-intercept form. Add 2 to both sides.

[tex]y=\frac{3}{8}(x+24) +2[/tex]

Distribute the 3/8.

[tex]y=\frac{3}{8}x+9+2[/tex]

Simplify.

[tex]y=\frac{3}{8}x+11[/tex]

And now we have our equation in slope-intercept form.

I hope you find this helpful.

A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of
the headphones.

Answers

Answer:

$89.75

Step-by-step explanation:

p = original price of headphones

$71.80 = p - $17.95           Add $17.95 to both sides

$89.75 = p

Original price is $89.75

Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? 6 cups of flour 7 cups of flour 8 cups of flour 9 cups of flour

Answers

answer:

7 cups of flour

reason:

to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6

(I may be wrong this is just how I did it)

Answer:

The answer would be b. 7 cups of flour.

Step-by-step explanation:

I took the test.

if a number is negative, then its reciprocal will be;​

Answers

the reciprocal will be negative

Answer:

The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. ... Notice that when you multiply negative fractions with their reciprocals, the product is always 1 (NOT -1).

What are the domain and range of this function ? Help plz

Answers

Answer:

Hey there!

The domain, or possible x values are (-4, -1, 2, 9).

The range, or possible y values are (-3,  0, 6)

Let me know if this helps :)

Answer:

Domain: { -4, -1, 2,9}

Range: {-3, 0, 6}

Step-by-step explanation:

Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,

x         y

-1        6

2         0

9         -3

-4         6

If you need further explanation let me know, but I hope this helps!

Have a great day!

4. Solve: 2(5x-2) = 6*

Answers

Answer:

x =1

Step-by-step explanation:

[tex]2(5x-2) = 6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(5x-2\right)}{2}=\frac{6}{2}\\\\Simplify\\5x-2=3\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=3+2\\\\Simplify\\5x=5\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{5}{5}\\\\Simplify\\x =1[/tex]

Given f (x) = 3x - 8 find x if f(x) = -14​

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x-8[/tex]

And we want to solve for x if f(x) is -14.

So, substitute -14 for f(x):

[tex]-14=3x-8[/tex]

Add 8 to both sides:

[tex]-6=3x[/tex]

Divide both sides by 3:

[tex]x=-2[/tex]

And we're done!

Answer:

The value of x is -2 .

Step-by-step explanation:

You have to solve it by doing comparison :

[tex]f(x) = 3x - 8[/tex]

[tex]f(x) = - 14[/tex]

[tex]3x - 8 = - 14[/tex]

[tex]3x = - 14 + 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = - 6 \div 3[/tex]

[tex]x = - 2[/tex]

the expression as an inequality for the statement above is:​

Answers

Answer: S > =85000

Reason: its says "atleast"

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