The Gomes family is on a road trip. On the first day, they drove a distance shown as 3 1/2 inches on a map. The actual distance that they drove was 245 miles. Which is the scale of the map

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Answer:

6

Step-by-step explanation:

Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.  

Hope it helped:)

Answer: 1X52=73

Step-by-step explanation:

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

"A line that touches the circle at a single point is known as a tangent to a circle."

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

https://brainly.com/question/23265136

#SPJ2

Answer:

-19/5

Step-by-step explanation:

3-7+2/5-1/5

⇒-4+1/5

⇒-20+1/5

answer⇒-19/5

hope it helps

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

Answer:

8, 9

Step-by-step explanation:

The answer is 8, and 9

72 = x*(x+1)

Lets factor out 72

1 x 72

2 x 36

3 x 24

4 x 18

....

8 x 9

8 and 9 are consecutive

Hey there!

The correct answer is 40 customers.

To solve this we can set up the following equation:

36 = .9x

(How I like to remember this is "36 = 90% of what")

Now, we solve. Divide both sides by .9:

40 = x

Have a terrificly amazing day! :D

Answer:

11.5

Step-by-step explanation:

add 18 to both sides

divide by 6

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Answer:

The first one perimeter is 111

Step-by-step explanation:

How  to find the perimeter is too add all the numbers you see

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

Answer:

Step-by-step explanation:

The height of the building is 8 rad 3

Approximately 13.9 ft

Answer:

x = 90°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, so

x = 90°

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

Answer:

Third choice

Step-by-step explanation:

Let's see, let's write the numbers in order.

-6,-2,1,1,4,4,14

So we can see that yes, indeed, it could be either -6 or 14.

We can also rule out the first choice and the last choice, because they lack in common sense. -6, being lesser, would not raise the mean, it would lower it. 14, being the greatest, would not lower the mean, it would raise it.

Now let's put our numbers through trial. Find the mean of the whole set.

-6+-2+1+1+4+4+14 = 16

16/7

16/7 is approximately 2.3. We round to the nearest tenth because the numbers in the answers (1.9) are rounded to the nearest tenth.

Now we will exclude 14 to see how much it changes.

-6+-2+1+1+4+4 = 2

2/6 = 1/3

1/3 is approximately 0.3. We can see that the mean has decreased by around 2 just from removing the 14.

Now let's exclude -6 and see how much it changes.

-2+1+1+4+4+14 = 22

22/6 is approximately 3.7. We can see that the mean has increased by around  1.4.

Both the second and the third choice are plausible, but we are looking for the outlier, meaning the one that is further away from the rest of the numbers. The mean decreased by around 2 (which is near 1.9) when 14 is removed, which is greater than 1.4 (or 1), so we can assume that the third choice is the answer.

We can also back this up by finding how much each number is close to the mean. -6 is closer to 2.3 than 14, because if you add 6 to 2.3 (to get the distance between them), it is 8.3, while if you subtract 14 by 2.3, you get 11.7, which is greater than 8.3

Another way to double check this is to see how far away the numbers are from the rest of the numbers. This is not a very accurate way, but it can be useful in double checking. -6 and -2 are only 4 units apart, while 4 and 14 are 10 units apart. 10>4, naturally.

Answer:

4(5x−4y+8)

Step-by-step explanation:

20x−16y+32

Factor out 4.

4(5x−4y+8)

Answer:

0x 57=63

Step-by-step explanation:

Answer:

Its 5 over 8

5/8

Step-by-step explanation: