Length is to meter as

The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works

Levart [38]

Answer:

1. $35.075

2. 43.5 hours

3. 70%

4. Danny is correct

5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5

Step-by-step explanation:

The pay per hour for student tutors = $5.75

1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore

The week earning for the tutor = 6.1 × 5.75 = $35.075

2. The Club's tutoring budget per week = $250

The number of tutoring hours that can be provided per week is given by the relation;

$\frac{The \, Club's \ tutoring\ budget \ per \, week}{The \, pay \ per \, hour\, for\, student\, tutors} = \frac{\$250}{\$5.75/hour} = 43.47826 \approx 43.5 \, hours$

3. The score of 21 out of 30 as a percentage is given as follows;

$\frac{21}{30} \times 100 = 70\%$

4. Where the second score is 45 out of a total of 60 points, we have;

$\frac{45}{60} \times 100 = 75\%$

Therefore, the increase in Abe's score is 5%, therefore, Danny is correct

5. To raise his checkup quiz grade to 80% overall, then we should have;

$\frac{70 + 75 + Q}{300} =\frac{80}{100}$

Where:

Q = The percentage grade of the last quiz

(145 + Q)×100 = 80×300 = 24000

145 + Q = 240

Q = 240 - 145 = 95%

Therefore, he has to score, 95% of 30 on the last quiz, which is thus;

$\frac{95}{100} \times 30 = 28.5$

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.

7 0

3 years ago

What is the scientific notation of 0.005927?

Papessa [141]

<span> 5.927 × 10<span>^-3 is your answer</span></span>

6 0

3 years ago

Read 2 more answers

I’m so confused I need help please!!

shutvik [7]

Answer:

5. 9 8. $2\sqrt{10}$

Step-by-step explanation:

a²+b²=c²

so for #5 12²+b²=15²

144+b²=225 (subtract 144 from both sides)

b²=81

b=9

For #8

9²+b²=11²

81+b²=121 (subtract 81 from both sides)

b²=40

b= $\sqrt{40}$

$\sqrt{40}$ =

$2\sqrt{10}$

6 0

3 years ago

Read 2 more answers

Pls help !!!!! i'll mark brainliest

ExtremeBDS [4]

Answer:

Last year there were 550 bison in the heard and this year it is 10% larger.

10% is also 10/100 or 0.10

To find 10% of the heard last year

550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,

to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.

550 x 1.10 = 605

For the second example.

If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.

550 = (x - (x * 0.10)) simplify;

550 = 1x - 0.10x

550 = 0.90x

Divide both sides by 0.90

x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.

5 0

3 years ago

Questions in Image below. Please explain how you got your answers in depth please.

irakobra [83]

Step 1

Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.

The revenue is given by the function;

$\begin{gathered} f(p)=150p-5p^2 \\ f(p)\text{ is the revenue and should be equal to 0 according to the question.} \\ p=\text{ The price of tickets for the day for the revenue to be 0} \end{gathered}$

To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.

For the theatre to make $0 in revenue, this means f(p)=0.

Therefore, we will equate f(p) to 0

Step 2

Equate f(p) to 0

$\begin{gathered} 0=150p-5p^2 \\ p(150-5p)=0----(\text{factorize)} \\ p=0 \\ 0r \\ 150-5p=0 \\ 150=5p \\ \frac{5p}{5}=\frac{150}{5} \\ p=30 \\ p=0\text{ or 30} \end{gathered}$

Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.

Check;

$\begin{gathered} 150p-p^2=0 \\ \text{If the price of tickets=0} \\ 150(0)-5(0^2)=0 \\ \text{If p=30} \\ 150(30)-5(30^2)=4500-4500=0 \end{gathered}$

Both give us 0 revenue but $30 is higher and the right answer.

Step 3

The equation you can write for revenue of $700 is;

$\begin{gathered} 700=150p-5p^2 \\ 5p^2-150p+700=0_{} \end{gathered}$

6 0

1 year ago