5 divided by 3670 equals

Set up 2 equations:

Total items sold: x + y = 300

This gets rewritten as x = 300-y

The second equation is for total amount made:

2.50x + 1.50y = 522

Replace x in the 2nd equation with the value of x from the first one:

2.50(300-y) + 1.50y = 522

Simplify:

750 - 2.50y + 1.50y = 522

Combine like terms:

750 - y = 522

Subtract 750 from both sides:

-y = -228

Divide both sides by -1 ( to make y positive)

y = 228

Now replace y in the first equation to solve for x:

x+ 228 = 300

Subtract 228 from both sides:

x = 72

He sold 72 bags of popcorn and 228 sodas.

Answer:

Step-by-step explanation:

y = -7x+3

substitute -7x+3 for y in the other equation.

y + 7x = 10

(-7x+3) + 7x = 10

3 = 10, a contradiction, so there is no solution.

If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.

Answer:

8

Step-by-step explanation:

3 +  3  + 2

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

Answer:

Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

:D

Answer:

$42

Step-by-step explanation:

7/14=1/2 so he saved 1/2 of 84

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that [tex]p = 0.6[/tex]

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].

We have that

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]

0.9744 probability that AT LEAST ONE of them has been vaccinated

Answer:

B = 68

Step-by-step explanation:

(6-2)×180 = 720

69+108+135+204+b+2b=720

516+3b=720

3b=720-516

3b=204

b= 68

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

a

Step-by-step explanation:

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Answer:

8n+12=36, triplets are 8 years old

Step-by-step explanation:

total age is 36

one of them is 12 years old so -> 36-12 = 24

three triplets so 24/3 = 8

there are three 8 years olds and one 12 year old. n = 3

Answer:

Step-by-step explanation:

3n + 12 = 36

3n = 24

n = 8 (the triplets)

another child: 12 years

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) [tex]y =2x +5[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,9)[/tex]

[tex](x_1,y_1) = (10,25)[/tex]

So, we have:

[tex]m = \frac{25 - 9}{10 - 2}[/tex]

[tex]m = \frac{16}{8}[/tex]

[tex]m=2[/tex]

The equation is calculated using:

[tex]y - y_1 =m(x - x_1)[/tex]

Using:

[tex](x_1,y_1) = (6,17)[/tex]

We have:

[tex]y - 17 =2(x - 6)[/tex]

[tex]y - 17 =2x - 12[/tex]

Make y the subject

[tex]y =2x - 12+17[/tex]

[tex]y =2x +5[/tex]

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

[tex]y =2x +5[/tex]

Answer:

5k+5

Step-by-step explanation:

Combine Like Terms:

=2k+2+k+3+2k

=(2k+k+2k)+(2+3)

=5k+5

Answer:

B. [tex]x = 62[/tex]

Step-by-step explanation:

In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.

[tex]3x-36=2x+26\\[/tex]

Same to both sides:

[tex]x = 62[/tex]

Answer:

Step-by-step explanation:

[tex]1-(0.52^8)\approx 0.99465402714[/tex]

Answer:60,400,696.72

Step-by-step explanation:

it just is...

Step-by-step explanation:

The first answer is correct

Answer:

The answer is option A = 5 11/36

Working :

3 8/9 as an improper fraction = 35/9

1 5/12 as an improper fraction =17/12

35/9 + 17/12 = 191/36

=5 11/36

Please mark me brainliest.

Answer:

f(3) = 10

Step-by-step explanation:

f(3) = 2(3)^2 - (3) - 5

f(3) = 2(9) - (3) - 5

f(3) = 18 - 3 - 5

f(3) = 10

Answer:

fail to reject the null hypothesis

Step-by-step explanation:

Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.

Answer:

y=2x

Step-by-step explanation:

y2-y1/x2-x1

-7-5/-2-4

-12/-6

simplified to = 2

so y=2x

Answer:

11.2

Step-by-step explanation:

Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.

Put one side length over another and equak to the corresponding side lengths of the other triangle:

28/15=?/6

?=6(28/15)=11.2

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

Answer:

3

4

0

2

Step-by-step explanation:

3

4

0

2

Answer:

7.Always 8.Never

Step-by-step explanation:

7. A linear pair are 2 angles that forms 180 degree angles. Supplementary Angles are angles that form 180 degrees. 180=180 so it is always

8. Vertical angles share a common vertex but like adjacent angles but unlike vertical angles they dont overlap so Vertical angles are non adjacent angles.Also adjacent angles aren't always equal either. So never

Answer:

I think the answer it is D

Answer:

11x - 1

Step-by-step explanation:

Just simplify the terms!

3x * 2 + 5x - 1

6x + 5x - 1 (We multiply 3x * 2 to get 6x)

11x - 1 (Then after that, all you have to do is add 6x and 5x together. We can't simplify further since we don't know what x is)

Answer:

How to solve your question

3xx^{2}+5x-1

3xx2+5x−1

Simplify

1

Combine exponents

3 2 + 5 − 1 3 3 + 5 − 1

Solution

3 3 + 5 − 1

Step-by-step explanation:

Answer:

similar to your question hope it will helpful for you

Step-by-step explanation:

I've done step by step hope it helps

Answer:

23.8%

Step-by-step explanation:

Step 1: Divide 142 by 596;

The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:

142/596 = 142 ÷ 596 = 0.23825503355705

Step 2: Multiply 0.23825503355705 by 100

The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:

0.23825503355705 × 100 = 23.83

Step 3: Round 23.83 to the nearest tenth

To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.

23.83 rounded to the nearest tenth = 23.8%