QuestionAlice drove from the town of Everett to the town of Gage at an average speed of 45 miles per hour. If she
Grove for 40 minutes, how far did she travel? (1 hour = 60 minutes)

Answers

Answer 1

Answer: 45 miles per hour is equal to 45 miles per 60 minutes. Let’s make it into a ratio, 45:60, and simplify it to 3:4 by dividing each by 15. Now, we can multiply the simplified ratio by 10 to get 30:40, which translates to 30 miles in 40 minutes.

Answer: 30 miles

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If Jim drove 5 miles to work. Kari drove 3 times as many miles as Jim. Sondra drove 4 times as many miles as Kari. How many more miles did Sondra drive than Kari.

If the triangles are congruent,then x = [?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box
Enter

Answers

Answer:

x = 3

Step-by-step explanation:

If the triangles are congruent then

4x + 1 = 13

4x = 12

x = 3

College Algebra Half Life ProblemRecently, while digging in Chaco Canyon, New Mexico, archaeologists found corn pollen that was 4000 years old. This was evidence that Native Americans had been cultivating crops in the Southwest centuries earlier than scientists had thought.

What percent of the carbon-14 had been lost from the pollen?

(half-life of carbon-14 = 5730)

Answers

I think the correct answer is 56%

711.9 divided by 8.4 show work?

Answers

Hoped this had helped!!!!

The answer would be 84.75.

Here are 2 images to show it is the proper answer.

I hope this helps!

6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)

Answers

Solution:

we are given that

6 students share 4 bagels equally.

we have been asked to find that

How many pieces does each person get?

Here we will have to use the concept of division. Because we are dividing bagels among the students.

So To get the number of pieces each will get divide 6 by 4.

Number of Pieces for each boys $=(6)/(4)=(3)/(2)=1(1)/(2) \n$

Hi!

You would get 1 and a half bagel for each person

6/4 = 1 1/2 or 1.5

San works at Staples and is ordering pens for the September school rush.3 packs if pens cost$4.50. 30 packs of pens cost $45.How much would 75 packs if pens cost?

Answers

It would cost about $112.5

The director of student health at a large university was concerned that students at his school were consuming too many calories each day. For a certain population of college-age students, it is recommended to consume around 2,000 calories/day. The director would like to test the hypothesis that H0:μ=2000 vs. HA:μ>2000. In a random sample of 50 students the director found that the average was 2105 calories/day with a standard deviation of 288 calories/day. Calculate the appropriate test statistic for this situation. Round your answer to 3 decimal places.

Answers

Answer:

The calculated test statistic is 2.578

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 2,000 calories/day

Sample mean, $\bar{x}$ = 2105

Sample size, n = 50

Alpha, α = 0.05

Sample standard deviation, s = 288

First, we design the null and the alternate hypothesis

$H_(0): \mu = 2000\text{ calories per day}\nH_A: \mu > 2000\text{ calories per day}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$t_(stat) = \displaystyle(2105 - 2000)/((288)/(√(50)) ) = 2.578$

Thus, the calculated test statistic is 2.578

Answer:

Test statistics = 2.578

Step-by-step explanation:

We are given that the director of student health at a large university was concerned that students at his school were consuming too many calories each day. For a certain population of college-age students, it is recommended to consume around 2,000 calories/day.

Also, given Null Hypothesis, $H_0$ : $\mu$ = 2000