You and your friend enjoy riding your bicycles. Today is a beautiful sunny day, so the two of you are taking a long ride out in the country side. Leaving your home in Sunshine, you ride 6 miles due west to the town of Happyville, where you turn south and ride 8 miles to the town of Crimson. When the sun begins to go down, you decide that it is time to start for home. There is a road that goes directly from Crimson back to Sunshine. If you want to take the shortest route home, do you take this new road, or do you go back the way you came? Justify your decision. How much further would the longer route be than the shorter route? Assume all roads are straight.

Answer:

hey are you new i love this app so much a get my answers right evarytime but i dont have any folowers but thats okay its the thaught that counts wright

Answer:

7

Step-by-step explanation:

You get the value of c and d as follow

c=4

d=28

now,

d/c=28/4=7

so,

the value of d/c here is 7

Answer: -n -2

Step-by-step explanation:

distribute the 2

3n+ -4n-2

combine like terms

-n -2

Solution:

The simplified expression is -n - 2.

Answer:

3.7 km further to walk

Step-by-step explanation:

Distance to travel to gas station = 10km

Distance remaining is (10km - distances walked)

(10km - 4.2km - 2.1km)

(10km - 6.3km)

3.7 km further to walk

keeping in mind that in a rhombus the diagonals always meet at right-angles, Check the picture below.

Answer:

20 packages

Step-by-step explanation:

the school needs 1800 notebooks, since the notebooks come in packages of 90 each. there will be a total of 20 packages.

formula

1800/90

= 20

Answer:

20

Step-by-step explanation:

Let x be the number of packs the school should buy.

1800[tex]\geq[/tex]90x

/90      /90

20[tex]\geq[/tex]x

Answer:

Yes. This relation is a function.

Step-by-step explanation:

Since there is one value of y for every value of x in (−1,4), this relation is a function.

Answer:

4/15

Step-by-step explanation:

to find out the portion that is shaded we can do the following:

1 - (1/3 + 2/5)

now we want a common denominator, we can use 15:

15/15 - (5/15 + 6/15)  →  15/15 - 11/15

the answer is 4/15

Answer:

1 over 3 is the answer have a nice night

Answer:

7/8

Step-by-step explanation:

1/4 times 2/2 = 2/8. you would have to do this because the only way you can add fractions is if they have the same denominator. so 2/8 + 5/8= 7/8

Answer:

You ate 7/8 of the chocolate bar.

Step-by-step explanation:

First, we need to change 1/4 and 5/8 so that they have the same denominators (bottom numbers).

There's a common multiple of 8.

What you do to the bottom needs to be done to the top.

1 x 8 = 8

1 x 5 = 5

5/8

Your amount of chocolate stays the same.

4 x 2 = 8

1 x 2 = 2

2/8 is how much the sister had,

Finally, add the two fractions together.

2/8 + 5/8 = 7/8

You ate 7/8 of the chocolate bar.

Hope this helps, have a good day! :D

Answer:

(-1,-2) OR x = -1 and y = -2

Step-by-step explanation:

y = 3x + 1

y = -x -3

so you would first multiply everything on y = -x -3 by 3 and get 3y = -3x -9

so then you would add 3y = -3x -9 to y = 3x + 1 ( to eliminate the x )which would be 4y = -8 then divide by 4 and get  y = -2

then you plug in y = -2 into any one of the equations but to make it easier i am going to plug it into y = -x -3 so now it would be -2 = -x - 3 then, add 2 to both sides which would be 0 = -x -1 then add 1 to both side 1 = -x then multiply both sides by -1 and get x = -1

SO your answer would be (-1,-2) OR x = -1 and y = -2 ( both of them are correct but it depends on what the teacher taught you)

Step-by-step:

[tex]3\frac{1}{2}+2\frac{3}{5} = \frac{7}{2} + \frac{13}{5} = \frac{35}{10}+\frac{26}{10} = \frac{61}{10}.[/tex]

Explaination:

Use  [tex]a\frac{x}{y} = \frac{a.y+x}{y}[/tex] to convert a mixed number to a fraction.

Use [tex]\frac{a}{b} +\frac{x}{y} = \frac{a.y}{b.y}+\frac{b.x}{b.y} = \frac{a.y+b.x}{b.y}[/tex] to calculate the sum of two fractions with different denominators.

Hope this help!

Step-by-step explanation:

f(-2) = 3(-2) - 12

→ -6 - 12 = -18 ans.

hope this helps you !

Answer:

B) 65 square units

Step-by-step explanation:

Triangle[SUT]=4.8/2=16

Trapezoid [SUQR]=(8+6).7/2=49

16+49=65

Answer:

Evaluate the following expressions for x = 2. –9. 2(4 – x) –9. 2(4 – (2)) –9. 2(2)

= -18.4

Evaluate the following expression for x = 2. -36. 8 9. 2x.

= -18.4

Answer:

Both are -18.4

Step-by-step explanation:

Answer:

If it wants to know the total on day 3, then the answer is 3/12, or 1/4 (fully simplified).

Step-by-step explanation:

1/6 + 7/12 = 3/4

This means that you would need 1/4 more inches of snow. 3/12 is the answer before simplification, and 1/4 is the fully simplified answer.

The equation to show the depreciation at the end of x years is

[tex]f(x) = 1500 - 200x[/tex]

Data;

This is an equation written to represent a word problem into mathematical statement and this is easier to solve.

To write a linear depreciation model for this machine would be

For number of years, the cost of the machine would become

[tex]1500 - 200x[/tex]

This is properly written as

[tex]f(x) = 1500 - 200x[/tex]

where x represents the number of years.

For example, after 5 years, the value of the machine would become

[tex]f(x) = 1500 - 200x\\f(5) = 1500 - 200(5)\\f(5) = 1500 - 1000\\f(5) = 500[/tex]

The value of the machine would be $500 at the end of the fifth year.

From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x

Learn more on linear equations here;

https://brainly.com/question/4074386

2 4/5÷(6÷2 1/2)

2 4/5÷2 2/5

1 1/12

Answer:

152−14−8

Step-by-step explanation:

Answer: The product is: 9r-28

Step-by-step explanation:

(5r+2)(3r-4)

5r x 3r = 15r

5r x -4 = -20r

2 x 3r = 6r

2 x -4 = -8

Put it all together:

15r-20+6r-8

Then simplify:

9r-28

Answer:

1: 3 choice 2: choice 1

Step-by-step explanation:

6x+9+5x-20 = 11x -11

x-8 - 3x - 3 = -2x-11

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute.

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.

7 gallons of water present in the tank when Jade first saw

5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute.

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

   m = 5 (3/2)

     = 15/2

     = 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

   (2/3) (m) = 3

   m = 3(3/2) = 9/2

       = 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

Answer: [tex]3x-4[/tex]

Step-by-step explanation:

Difference = Huskies - Bobcats

Hence,

[tex](5x-3)-(2x-7)\\=5x-3-2x+7\\=3x+4[/tex]

Answer:

supplementary

Step-by-step explanation:

angles that are over 90° that over all equal to 180° are supplementary. 156° is over 90° and adding 24° is simple math, meaning 156+24=180

hope this helps

Answer:

$20

Step-by-step explanation:

3x + 100 = 160

3x = 60

x = 20

Answer:

4050 cm²

Step-by-step explanation:

This is a question of scale factors:

The radius of the larger circle is 9× that of the smaller circle;

This is the linear scale factor of the enlargement of the smaller to larger circle;

The scale factor of the area pertains to 2 dimensions so the scale factor will be the square of the linear scale factor, which is:
9² = 81

The area of the larger circle is found by the area of the smaller circle multiplied by this number:
50 × 81 = 4050

Answer:

The vertex is (0,3), and the zeroes are at -1 and -7

Step-by-step explanation:

Since the function is going upward, the vertex is the minimum value

So the vertex is (0,3)

The zeros of a function are where the function touches the x-axis, or when y is 0.

We can find the zeros by making y (or f(x)) 0.

(x+4)^2-9=0

x^2+8x+16-9=0

x^2+8x+7=0

Factoring

(x+1)(x+7)=0

The zeroes are at -1 and -7.

Answer:

Option A is the correct answer

Step-by-step explanation:

A. The difference of twice the cube of a number and 11

Answer: -44

Step-by-step explanation: First you do add -32 to both sides of the equation, then yo add it all together... Hope this helped :)

Answer:

-12+(-32)= -44

Step-by-step explanation:

negative numbers plus a negative number would result in a smaller negative number. So -12 + -32 would be -44.

Answer:

cannot be determined

Step-by-step explanation:

you know they are similar triangles because their angles are congruent, but you cannot determine if they are the same because you are not given that any of their sides are congruent

Answer:

x = 3.2

Explanation:

when y = 1

1 = x²-2x-3

x²-2x-3-1 = 0

x²-2x-4 = 0

                                      [tex]x = \frac{ 2 \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2*1}[/tex]

                                               [tex]x = 1 + \sqrt{5}[/tex]

                                                 x = 3.236

                                                 x = 3.24 in 2 decimal places

                                                 x = 3.2  in nearest tenth