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2 years ago

There are 363 students at Meadowbrook High School. There are 10 more

1 answer:

4 0

First, put each grade in terms of x. Most grades are compared to Sophomores, so I made that x

Freshmen = x + 10
Sophomores = x
Juniors = x + 20
Seniors = (x + 10) + 7 = x + 17

Then, the total number of students = 363, so we’ll make an equation that adds them all up in terms of x to equal 363

(x + 10) + x + (x + 20) + (x + 17) = 363

Combine like terms:
4x + 47 = 363
Subtract 47 from both sides:
4x = 316
Divide both sides by 4:
x = 79

The question was how many seniors there are. Seniors were x + 17, so 79 + 17 = 96

You might be interested in

Solve for x in the triangle A 1.7 B 2.6 C 2.7 D 3.0

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given 2 sides and the included angle use the Cosine rule to solve for x

x² = 1.6² + 1.1² - (2 × 1.6 × 1.1 × cos78° )

= 2.56 + 1.21 - ( 3.52 × cos78° )

= 3.77 - 0.7318

= 3.0382

Take the square root of both sides

x = $\sqrt{3.0382}$ = 1.7 → A

3 0

2 years ago

Read 2 more answers

can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest

Doss [256]

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.

I hope this helps :)

7 0

2 years ago

Read 2 more answers

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

in a circular garden the distance from the center of the circle to the edge is 15ft . If a gardner wants to plant roses in a 60

olya-2409 [2.1K]

Answer:

Approximately 117.81 ft²

Step-by-step explanation:

Find the area of the whole circle

A=πr²

A=π(15)²

A=706.86 ft²

Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).

360/60=6

Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.

706.86/6= 117.81 ft²

6 0

3 years ago

Linear functions written in the form Ax + By = C are written in slope-intercept form.

Gemiola [76]

Answer:

false

Step-by-step explanation:

slope and intercept equation is y=mx+c

8 0

3 years ago