What is 22% of 50? ОА. ОВ. 28 Ос. 22 OD. 11

Please help me with these 5 problems!!!

zalisa [80]

1. let the score on 1st test be = x

Given average is = 92

2nd tests scores are = 97 (assume this as y)

3rd test score = 89 (assume this as z)

Average = $\frac{x+y+z}{3}$

$92=\frac{x+97+89}{3}$

$276=186+x$

$x=90$

Hence, 1st day score was 90.

2. Let the original recipe made x cookies

As given she doubled her recipe so 2x cookies

Her brothers ate 8 cookies, this gives 2x-8 cookies left

She gave 2 dozen or 24 cookies to the neighbor and left with 12 cookies, it becomes $2x-8-24=12$

This gives $2x=44$

or $x=22$

Hence 1 recipe makes 22 cookies.

3. As given in the table,

Time used in total by boys = 255 minutes

Time used by girls in total = 213 minutes

Time used for school work by boys = 33 minutes

Time used by boys other than schoolwork = 255-33 = 222 minutes

Time used for school work by girls = 72 minutes

Time used by girls other than schoolwork = 213-72 = 141 minutes

How many more minutes per week do boys spend using the internet for purposes other than schoolwork then girls = 222-141 = 81 minutes

Hence, boys use 81 more minutes than girls for work other than schoolwork.

4. Total amount by two films = $775 million

Let x be the receipts of the second highest box office film.

Let x + 97 be the receipts of the highest one.

Equation becomes $x+x+97=775$

$2x+97=775$

$2x=678$

$x=339$

Hence highest receipt movie brought in $339+97=436$

The film with highest receipts bought in $436 million.

5. Vice President elected in the year = 1944

Died in the year = 1972

Total time in between = $1972-1944=28$ years

Age at the time of death = 88

So, he was elected 28 years back and that time his age was = $88-28=60$

He was elected at the age of 60 years.

6 0

2 years ago

Which function is an example of exponential decay?

malfutka [58]

A.) y = 0.3(2)x
These are exponential decay

5 0

3 years ago

Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar

mr Goodwill [35]

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

5 0

3 years ago

We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed

eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the combination formula is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

$C_{27,8} = \frac{27!}{8!19!} = 2220075$

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0

2 years ago

This is my last question it’s due at midnight can I please get help in a hurry

Sophie [7]

N = 9

explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.

more help:

Q = G

10.5 = 7

P = F

H = R

4 = 6

9 = N

5 0

2 years ago