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Kamila [148]
3 years ago
8

One popular fast-food chain ordered (a) 2,400,000 slices of cheese last year. In December, the chain reached its goal of serving

a total of (b) 40,000,000,000 cheeseburgers since opening. This was enough cheeseburgers to make a stack (c) 473,500 miles high. Also, the number of shakes served last year could have filled (d) 1,200 swimming pools.
Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

a. Two million, four hundred thousand

b. Forty billion

c. Four hundred seventy three thousand, five hundred

d. One thousand two hundred

Step-by-step explanation:

To Write the word names for each of the numerals

a. 2,400,000=Two million, four hundred thousand

b.40,000,000,000=Forty billion

c.473,500= Four hundred seventy three thousand, five hundred

d. 1,200=One thousand two hundred

Therefore the word names for each of the numerals will be:

a. Two million, four hundred thousand

b. Forty billion

c. Four hundred seventy three thousand, five hundred

d. One thousand two hundred

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Mrs. Galindo decided to make Kool-Aid to serve along with the pizza at the Future Farmers of America party. The directions said
docker41 [41]

Answer:

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Step-by-step explanation:

Direction :

1/2 of a scoop + 2 gallons = 1 pitcher

Mrs. Galindo's students:

4 pitcher = 4 scoops + 2 gallons of water

Correct mixture for 4 pitchers:

1/2 scoop + 2 gallons of water =1 pitcher

For 4 pichers, multiply both sides by 4

1/2(4) scoops + 2(4) gallons of water =4 pitchers

4/2 scoops + 8 gallons of water =4 pitchers

2 scoops + 8 gallons of water =4 pitchers

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

5 0
3 years ago
What is the product of (4x)(-3x^8)(-7x^3)
Semenov [28]

(4x)(-3x^8)(-7x^3)

4 (-3)(-7) = 84

x(-x^8)(-x^3) = x^(1 + 8 + 3) = x^12

Answer: 84x^12

4 0
4 years ago
What are the values of x and y?
tensa zangetsu [6.8K]
Answer: x = 8√7, y = 4√21

Explanation:

1) There are three triangles.

2) The small triangle of the right has a right angle,  and the sides are the height, x and 16.

3) The small triangle of the left, has a righ angle, and the sides are the heigth, y and 12.

4) The big triangle has a right angle, and the sides are the x, y and 28.

5) Set three equations using Pytagora's theorem for the three triangles..

a) y^2 + x^2 = 28^2 = 784

b) h^2 + 12^2 = y^2

c) h^2 + 16^2 = x^2

6)  Subtract b) from c)

16^2 - 12^2 = x^2 - y^2

=> x^2 - y^2 = 112

add x^2 - y^2 = 112 with the equation a)

x^2 - y^2 = 112
x^2 + y^2 = 784
----------------------
2x^2 = 112 + 784

2x^2 = 896

x^2 = 896 / 2 = 448

x = √448

x = 8√7

7) now you can use any a) to find y:

y^2 + x^2  = 784

=> y^2 = 784 - x^2

=> y^2 = 784 - 448

=> y^2 = 336

=> y = 4√21

Answer: x = 8√7, y = 4√21


3 0
4 years ago
Here is a number pattern: 23, 26, 30, 35, 41.
beks73 [17]

Answer:

48

Step-by-step explanation:

The number sequence increases by 1.

23+3=26

26+4=30

30+5=35

35+6=41

therefore 41+7=48

6 0
2 years ago
Read 2 more answers
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
3 years ago
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