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anzhelika [568]

3 years ago

15

A school assembly had 90 students in attendance, and 80% of them were first-graders. How many first-graders were at the assembly

?

2 answers:

puteri [66]3 years ago

6 0

Answer:

72

Step-by-step explanation:

80/100=4/5

4/5 * 90 = 72

Sav [38]3 years ago

5 0

the answer is 72! Hope this helps! :)

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2. Solve the system of equations using the substitution method.

Dimas [21]

Answer:

x = 1

Step-by-step explanation:

2x + 3y = 20

2x + 3(10-4x) = 20

2x + 30 - 12x = 20

combine like terms

-10x + 30 = 20

-30 -30

-10x = -10

divide both sides by -10

x = 1

Hope this Helps!!!

7 0

3 years ago

Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the

Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0

3 years ago

The probability of winning a certain lottery is 1/77076 for people who play 908 times find the mean number of wins

Alex73 [517]

The mean is 0.0118 approximately. So option C is correct

<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is $\frac{1}{77076}$ for people who play 908 times

We have to find the mean number of wins

$\text { The probability of winning a lottery }=\frac{1}{77076}$

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

$n=908, \text { probability } \mathrm{p}=\frac{1}{77076}$

$\text { Then, binomial mean }=n \times p$

$\begin{array}{l}{\mu=908 \times \frac{1}{77076}} \\\\ {\mu=\frac{908}{77076}} \\\\ {\mu=0.01178}\end{array}$

Hence, the mean is 0.0118 approximately. So option C is correct.

4 0

3 years ago

What is the nth term rule of the quadratic sequence below?

mihalych1998 [28]

Answer:

can you explain your question further seems I have an idea

6 0

4 years ago

EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o

german

Answer:

$y=9x+33$

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9$

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

$y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33$

So, there were 33 gallons of water in the tank to begin with.

3 0

3 years ago