What does 7x - 9y equal when x = 4 and y = 130?

Cali ran a 400-meter race in 65.49 seconds. Suppose that she ran the first half of the race in 31.73 seconds. How long did it t

zhenek [66]

Answer:

Step-by-step explanation:

time taken to complete the second half=65.49-31.73=33.76 seconds

3 0

3 years ago

You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.

Ludmilka [50]

Answer:

The number of calories in 5.5 cups are 495.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be $x.$

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be $2:180.$

So, in 5.5 cups there are $x$ calories.

5.5 cups is equivalent to $x$ calories.

Thus, the ratio would be $5.5:x.$

Now, we set proportion to get the number of calories in 5.5 cups:

$2:180::5.5:x$

$\frac{2}{180} =\frac{5.5}{x}$

By cross multiplying we get:

$2x=990$

Dividing both sides by 2 we get:

$x=495$ .

Therefore, the number of calories in 5.5 cups are 495.

4 0

3 years ago

When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected

jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. N(10) corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

$N=\frac{12.36}{0.03+0.55^t}$

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

$N=\frac{12.36}{0.33+0.55^0}$

$N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12$

A. Initially, there were 12 deer.

B. $N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380$

B. N(10) corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. $N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410$

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0

3 years ago

An educator believes that new reading activities for elementary school children will improve reading

Damm [24]

The correct answer to this open question is the following.

Unfortunately, you forgot to attach the scores shown in the back-to-back stem-and-leaf display. So we do not know what the numbers are and we do not have any reference at all

What we can do to help you is to comment on the following general terms.

There have been previous and similar experiments or projects like this in other schools in America. These results suggest that the new activities are better because extra or special reading comprehension programs better prepare students to understand what they are reading and comprehend more than basic ideas of the text.

Students that participate in these programs develop a better sense to understand and like what they are reading, considerably increasing their focus and attention.

These programs have resulted positively when trying to improve the marks of the students, compared to other traditional approaches.

6 0

3 years ago

What is the range of f(x)=log0.6x

igor_vitrenko [27]

The range of a log is all real numbers, only the domain is limited. Therefore the answer is +infinity to -infinity.

5 0

3 years ago