You are driving 2760 miles across the country. During the first 3 days of your trip, you drive 1380 miles. If you continue to drive at the same rate each day, how many days will the entire trip take? Show your work and circle your answer.​

Answers

Answer 1

The entire trip will take 6 days.

(Encircle this answer, as said on the directions)

Step-by-step explanation:

We know that the first three days of the trip, we traveled 1380 miles.

Find the UNIT RATE of MILES PER day:

1380/3 = 460

Unit rate = 460 miles per day

If we were to drive at this (460 mi per day) rate EACH day and the whole journey takes 2760 miles across the country.

FInd the NUMBER of DAYS of the ENTIRE TRIP:

2760/460 = 6

It will take us 6 days to drive to the destination.


Related Questions

The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?

Answers

Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

What is y=2x+8 and y=.5x+14

Answers

Answer:

first we have to solve for x in order to find the value of y

2x+8=5x+14

5x-2x=14-8

3x=6

x=2

placing the x value in these two equation to find the value of y

y=2(2)+8

y=12

y=5(2)+14

y=24

now those are the two values of y

hope it's helpful

thank you !

What is the expression for “the difference between four times a number and three times that number”???

Answers

Answer:

B

Step-by-step explanation:

The correct equation will be 4N-3N

Which is a y-intercept of the graphed function​

Answers

Well, a y-intercept is a the point on a graph where the x value equals 0, because the point sits exactly on the y-axis. In this case, the y-intercept would be (0, -9).

Answer:

(0,-9)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The y intercept is

-9

(0,-9)

someone please help i am not 100% sure how to do this and i need it for the rest of my tesr

Answers

Answer:

angleCFE=21 because inscribed angle is half the central angle standing on same same arc.

Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-3x+
3x + = 0

Answers

Answer:

Is E

explanation:

4. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
= Answer should be detailed.​

Answers

Answer:

The height of the parallelogram is 12 cm.

Step-by-step explanation:

We are given that a triangle and a parallelogram have the same base and same area.

The sides of the triangle measure 26 cm, 28 cm, and 30 cm.

We are given that the base of the parallelogram is 28 cm, and we want to determine its height.

Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:

[tex]\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where a, b, and c are the sides and s is half of the perimeter.

The perimeter is:

[tex]P = (26) + (28) + (30) = 84[/tex]

Hence, s = 42.

Then the area of the triangle is:

[tex]\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}[/tex]

The area of a parallelogram is given by:

[tex]\displaystyle A = bh[/tex]

We are given that the base is 28 cm:

[tex]\displaystyle A = 28 h[/tex]

Its area is equivalent to the area of the given triangle. Hence:

[tex]\displaystyle 336 = 28h[/tex]

Divide:

[tex]\displaystyle h = \frac{336}{28} = 12\text{ cm}[/tex]

In conclusion, the height of the parallelogram is 12 cm.

what is the inverse of function of f?

f(x) = -7x - 4

Answers

Answer:

f^(-1) (x) = -(x+4)/7

Step-by-step explanation:

f(x) = - 7x-4

f(x)+4=-7x

x=-(f(x)+4)/7

f^(-1) (x) = -(x+4)/7

find the ratio between 6 cm and 1.5m​

Answers

Answer:

6:150

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

1:25

Step-by-step explanation:

1.5m=150cm

6:150

1:25

Find the volume of this cone.
Use 3 for T.
V =
71 r2h
3
V
V ~ [?]in3
110in
4in

Answers

Answer:

V = 40 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 4 so the radius is 1/2 the diameter or 1/2(4) =2

The height is 10 and we are using 3 for pi

V = 1/3 (3)(2)^2 (10)

V = 40 in^3

Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that​

Answers

Answer:

See explanation and hopefully it answers your question.

Basically because the expression has a hole at x=3.

Step-by-step explanation:

Let h(x)=( x^2-k ) / ( hx-15 )

This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.

Solving for x in that equation:

Adding 15 on both sides:

hx=15

Dividing both sides by h:

x=15/h

For it be a hole, you also must have the numerator is zero at x=15/h.

x^2-k=0 at x=15/h gives:

(15/h)^2-k=0

225/h^2-k=0

k=225/h^2

So if we wanted to evaluate the following limit:

Lim x->15/h ( x^2-k ) / ( hx-15 )

Or

Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.

We were ask to evaluate

Lim x->3 ( x^2-k ) / ( hx-15 )

Comparing the two limits h=5 and k=225/h^2=225/25=9.

PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
10fx
9
8+
7
6
5
4.
3
2+
1
1 2 3 4 5 6 7 8 9 X

Answers

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

how to find how many integers between two numbers that are square rooted

Answers

Answer: Square roots are the numbers that, when multiplied by themselves, equal the number under the square root sign. For instance, sqrt(9) equals 3, since 3*3 equals 9. You should memorize the values of square roots, at least up through 100. Once you do that, you will easily be able to determine which perfect square, and subsequently, which square root, is between two integers.

Answer:

The other answer is correct.  

Step-by-step explanation:

10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2​

Answers

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)

Answers

Answer:

slope= -1  1/6

Step-by-step explanation:

x1 y1  x2 y2

-2 5  4 -2

   

(Y2-Y1) (-2)-(5)=   -7  ΔY -7

(X2-X1) (4)-(-2)=    6  ΔX 6

   

slope= -1  1/6    

B= 2  2/3    

Prove that a triangle with two congruent altitudes is an isoceles triangle.

Answers

Answer:

See image

Isosceles triangles have 2 congruent base angles

Need help ASAP!!!Please explain how to solve the problem

Answers

Answer:

Step-by-step explanation:

Find the slope, if it exists. 5x - 7y = 14 Select the correct choice below and fill in any answer boxes within your choice.

A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined.​

Answers

Answer:

5/7

Step-by-step explanation:

5x-7y=14

-7y=14-5x

y=-2+5/7x

y=5/7x-2

This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.


Simplify the expression:
4 + 4f2 + 6f - 6f

Answers

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

Please just help a girl out please

Answers

Answer:

C

Step-by-step explanation:

A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F

Answers

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

Can someone please do this for me please

Answers

Answer:

r=-11

Step-by-step explanation:

7r+2=5(r-4)

7r+2=5r-20

2r=-22

r=-11

I hope it helps you!!have a good day

ASAP!! PLEASE HELP

Max deposited P20,000 in an investment that will give him P1,750-gain for every year that his money stays in the account. How much money will he have in his account by the end of year 8?

Answers

Answer:

Step-by-step explanation:

8*1750=14000

Amount=14000+20000

=34000

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

The answer would be c

Answer:

Below

Step-by-step explanation:

Volume = area of the circular side * length

Radius of circle = 10

V  = pi r^2 l = pi *10^2 * 6

= 100 pi

= 1884 in^2

A ship sails from east to west direction for 5 km, and then sails north for 12 km. Find the distance between its destination and its starting position?​

Answers

Answer:

13km

Step-by-step explanation:

Distance, x = (12² + 5²)

= 13

how to solve 1168 divided by 8

Answers

The answer to this question is 146
If you use a calculator it will give you directly the answer and it’s 146

Solve the system of equations.
y = x2 + 3x - 4
y= 2x - 4

Answers

Answer:

The two solutions are

(0,-4) and (-1,-6)

Step-by-step explanation:

The ys have to be equal so you can equate the right hand side.

x^2 + 3x - 4 = 2x - 4         Add 4 to both sides

x^2 + 3x = 2x                    Subtract 2x from both sides

x^2 + 3x - 2x = 0              Combine

x^2 + x = 0                       Factor

x(x + 1) =0

Just to show you that these two points really are the solutions, you can see the graph below

x has 2 values

x + 1 = 0

x = - 1

or

x = 0

Now solve for y

y = 2x - 4

Let x = 0

y = - 4

Let x = - 1

y = 2x - 4

y = -2 - 4

y = - 6

The blue is y = x^2 + 3x - 4

The green line is y = 2x - 4

PLEASE HURRY!!!


Find the area of the region that is NOT shaded.

Answers

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

How do you do 111? Explanation pls

Answers

Answer:

B. 2 3/5

Step-by-step explanation:

how i would solve this expression is start out by converting "4 1/3" into an improper fraction.

4 1/3 is equivalent to 13/3

next to find out how much water melissa used we have to multiply 3/5 by our improper fraction giving us this expression:

13/3 x 3/5

solving a fraction is simple, multiply the numerator by numerator,

and denominator by denominator.

so, we will end up with

39/15 or simplified to 2 3/5

hope this helps :D

The side measurement of the wall of the Green House is 9m. Find the cost of the glass required for the walls of the Green House, if the cost of 1m2 glass is AED 12.

Answers

Answer:

AED 972

Step-by-step explanation:

Area of the wall = 9² = 81 m²

each m² costs AED 12

so 81 m² will cost 12×81 = AED 972

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