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3 years ago

11

Ms. Annand is getting drinks ready for a party. She has one gallon of fruit punch, two pints of apple juice, and a quart of grap

e soda. How much is she bringing all together for drinks to the party, measured in cups?

1 answer:

otez555 [7]3 years ago

5 0

Answer:

4+4+16=24

Step-by-step explanation:

16 cups in a gallon, 4 cups in two pints, and 4 cups in a quart. Hope this helps!

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A pitcher contains 2/3 quart of water. If an equal amount of water is poured into 6 glasses how much water will each glass conta

jeyben [28]

2/3 x 6
4 quarts
basically 2/3 x 6/1
6x2 which is 12
3x1 which is 3
12/3 is 4
4 quarts

7 0

4 years ago

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Stewart is making banana pudding for a family reunion. Her recipe uses 1.5 bananas per dish of pudding. If one dish of pudding c

Rina8888 [55]

Answer: She will need about 15 bananas to feed 250 people that will be at the reunion.

Step-by-step explanation:

Let be "x" the number of bananas Stewart will need to feed 250 people that will be at the reunion.

According to the infomation provided in the exercise, we know that she needs 1.5 bananas per dish of pudding and one dish of pudding can feed 25 people.

Knowing this, we can set up the following proportion:

$\frac{1.5}{25}=\frac{x}{250}$

Finally, we must solve for "x":

$(250)(\frac{1.5}{25})=x\\\\x=15$

Therefore, she will need about 15 bananas to feed 250 people that will be at the reunion.

3 0

4 years ago

A soccer ball on the ground was kicked with an initial velocity of 35 ft/sec at an elevation angle of 40º. Create a set of param

igomit [66]

Answer:

38 feet.

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 35 ft/s

Angle of projection (θ) = 40º

Acceleration due to gravity (g) = 9.8 m/s²

Range (R) =?

Next, we shall convert 9.8 m/s² to ft/s². This can be obtained as follow:

0.3048 m/s² = 1 ft/s²

Therefore,

9.8 m/s² = 9.8 m/s² × 1 ft/s²/ 0.3048 m/s²

9.8 m/s² = 32.15 ft/s²

Thus, 9.8 m/s² is equivalent to 32.15 ft/s².

Finally, we shall determine how far away the soccer ball hit the ground (i.e range) as shown below:

Initial velocity (u) = 35 ft/s

Angle of projection (θ) = 40º

Acceleration due to gravity (g) = 32.15 ft/s²

Range (R) =?

R = u² × Sine 2θ / g

R = 35² × Sine (2×40) / 32.15

R = 1225 × Sine 80/ 32.15

R = 1225 × 0.9848 / 32.15

R = 37.5 ≈ 38 feet.

Thus, the soccer ball hit the ground 38 feet away.

8 0

3 years ago

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The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

8 0

4 years ago

Simplify by combining like terms: 2x + 3x + 7

DaniilM [7]

Answer: 5x+7

Step-by-step explanation:

2x+3x+7

5x+7

7 0

4 years ago

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