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Answer: 4.8 hours.

Step-by-step explanation:

To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.

Speed is distance over time, or in this case, miles per hour.

360 / 4 = 90 miles per hour.

The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.

You can now use the same equation to find the time travelled:

360 / x = 75

360 = 75x

Divide both sides by 75 to get your answer:

4.8 = x

It would take the car 4.8 hours to travel the same distance.

Answer:A

Step-by-step explanation:

Side lengths do not adhere to the triangle inequality theorem.

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Step-by-step explanation:

Step 1:  Answer the question

They are independent because the cards are always going to stay the same.  If each card that was picked and discarded, that would alter the future which would make it dependent.  But... since it doesn't change the cards, it is independent.

Answer: independent

Answer:

Independent

Step-by-step explanation:

Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent

If it was without replacement, they would have been dependent

the answer would be 27% :3

Answer:

27%

Step-by-step explanation:

Answer:des

Step-by-step explanation:

Answer:

Well to find the mean of the above

take £ as sigma

therefore,

mean= £fx/£f

This simply means the sum of all the numbers divided by the number of members

therefore,

10 + 11+12+13+14+15+16+17+18= 126

And the number of figure present on the number line are 9, therefore 126 divided by 9

giving you a result of 14

Therefore the mean of the above numbers is 14.

Answer:

250 turkey sandwiches were delivered.

There were 230 roast beef delivered.

115 PB&J were delivered.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of turkey sandwiches.

y is the number of roast beef.

z is the number of PB&J.

Donnie delivered 595 box lunches

This means that [tex]x + y + z = 595[/tex]

There were 20 more turkey sandwiches then roast beef.

This means that [tex]x = y + 20[/tex]

There were twice as many roast beef has PB&J.

This means that [tex]y = 2z[/tex].

So in the second equation, we have that [tex]x = 2z + 20[/tex]

Replacing this in the first equation:

[tex]x + y + z = 595[/tex]

[tex]2z + 20 + 2z + z = 595[/tex]

[tex]5z = 575[/tex]

[tex]z = \frac{575}{5}[/tex]

[tex]z = 115[/tex]

115 PB&J were delivered.

[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]

250 turkey sandwiches were delivered.

[tex]x = y + 20[/tex]

So

[tex]y = x - 20 = 250 - 20 = 230[/tex]

There were 230 roast beef delivered.

Answer:

[tex]5(x-2)(x+2)[/tex]

Step-by-step explanation:

Factor out 5:

[tex]5(x^2-4)[/tex]

Use difference of squares formula for the inside:

[tex]5(x-2)(x+2)[/tex]

Length of fence = perimeter of trapezoid

                           = 12 + 6 + 5 + 5

                           = 28 meters

Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]

                         = 4([tex]\frac{12+6}{2}[/tex])

                         = 4 x 9

                         = 36 sq. meters

Answer:

Expressions B, D and E

Step-by-step explanation:

Here, we are to select which of the options is correct.

Let’s put in mind that they bought earn $12 per hour

x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x

Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46

The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y

The total amount of money both made is thus;

12x + 46 + 12y

= $(12x + 12y + 46)

Now, we have similar expressions in the question;

These are; expression B, expression D and expression E

While expression B is straightforward, the others are not

expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46

expression E just involved putting what each of the two earned in brackets

The type of function represented in the table is linear.

Let's check the type of function represented in the table.

You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

It can also be found by using the linear equation,

y = mx + b

where

Therefore,

The x increases by y and the y increase by a constant rate of 5.

Therefore, the function represented in the table is linear.

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Answer:

It is Inaccurate: The angles in the order listed do not correspond. I just took the test

Answer:

Inaccurate. The angles in the order listed do not correspond.

Step-by-step explanation:

I am doing the test rn and I think this is the right answer

Answer:

The 5!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because it is the 3rd number from the ones place

Answer:

x = 12

Step-by-step explanation:

x+13=25

Subtract 13 from each side

x+13-13=25-13

x = 12

Answer:

There are a maximum of 2 peaches in the basket.

Step-by-step explanation:

There are 30 fruits in a basket, all apples and peaches.

If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.

For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.

This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.

Hope this Helps!!!

Answer:

max=2 peaches

Step-by-step explanation:

Answer:

x°= 34°

m<x and angle measuring 34° are corresponding angles since two lines are parallel with a third line intersecting them.

Answer:

C = 2πr

Step-by-step explanation:

The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr

Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

Answer:

-44x - 0.48

Step-by-step explanation:

[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]

Answer:

The person is a about 2m

The height of the person is 0.475m.

The scale factor is the ratio of the size image in scale and original size of the image.

Scale factor= new size/ original size

Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm

But in scale, the length of the lorry is 10cm

scale factor =new size/ original size= 10/950= 1/95

Similarly for the person height of the person on the scale is given = 2cm

As from above it is clear that

scale factor= 1/95

new size/ original size= 1/95

2/ original size= 1/95

original size= 95/2

original size= 47.5 cm

original size= 47.5/100 m= 0.475 m

Therefore the height of the person is 0.475m.

Learn more about scale factor

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Answer:

8

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]

Answer:

B) 8

Step-by-step explanation:

Answer: 24 inches.

Step-by-step explanation:

You can find the perimeter of the polygon by adding the side lengths.

First, find the missing side lengths.

There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.

We can then add the sides to find the perimeter:

4 + 9 + 5 + 1 + 5 = 24 inches long.

Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

Answer:

10 ft

Step-by-step explanation:

V = l*w*h

560 = 7*8 *u

560 = 56u

divide each side by 56

560/56 = 56u/56

10 =u

Answer:

C

Step-by-step explanation:

Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.

4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.

Therefore, our answer is C) Robert. Hope this helps!