All categories

2 years ago

Can someone help me please. I am struggling and I would be so happy if any of you helped me. Thank you for your help!

Mathematics

1 answer:

4vir4ik [10]2 years ago

4 0

9514 1404 393

Answer:

$19.36

Step-by-step explanation:

Any average is the sum of numbers, divided by the number of them.

Here, the numbers are grouped, but the computation of the average works the same way.

The total value of donations received is ...

$100×10 +$50×20 +$20×30 +$10×100 +$5×35

= $1000 +1000 +600 +1000 +175 = $3775

The total number of donations received is ...

10 +20 +30 +100 +35 = 195

Then the average (mean) donation is the total value divided by the total number ...

$3775/195 ≈ $19.35897 ≈ $19.36 . . . mean donation

You might be interested in

Solve for x (10 points)

ella [17]

8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2
c = 9.43
x = 9.43 - 3
x = 6.43

8 0

3 years ago

PR is represented by which sketch?

solniwko [45]

Answer:

Step-by-step explanation:

The direction of the arrow has to go the same way as the one in the question, from P to R. Also, the question only has one arrow, so the answer only has one arrow.

8 0

3 years ago

Please help me!<br><br> x + 6 ≤ 8

ANEK [815]

Your goal is to isolate the x variable, so all you have to do here is subtract 6 on both sides.

Your final answer is x ≤ 2.

Hope this helps a lot! :)

6 0

3 years ago

Read 2 more answers

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

5 0

2 years ago

Use double angle formulas to find the exact value of sin2x,cos2x, and tan2x

denis-greek [22]

Sin2x = 2sinxcosx;
cos2x = (cosx)^2 - (sinx)^2;
tan2x = (sin2x)/(cos2x);

cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;

=> sin2x = 120/169;
.................................

5 0

2 years ago