Shelly earns 11.45$ per hour. last week she worked 37 1/5 hours.how much did she earn last week

Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

Now, According to question

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

Damian works after school. Each

nadya68 [22]

Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

5 0

3 years ago

6x - 8y - 5х +3y. How can you answer this

insens350 [35]

Step-by-step Solution

Problem to solve: 6x−8y−5х+3y

solving method: simplifying

Combining like terms -8yand 3y

6x−5y−5

Final Answer:

6x−5y−5

8 0

3 years ago

Read 2 more answers

Three friends went to a fundraiser at a local restaurant. Each plate cost $7.95, which included a drink. A tip of 20% was left f

miskamm [114]

Answer:

159 try it

Step-by-step explanation:

6 0

2 years ago

The demand equation for a manufacturer's product is:

Juli2301 [7.4K]

From the given price function, we have;

(a) $\frac{dp}{dq} = - 13$

(b) The point elasticity of demand is 0.0256; inelastic demand

(c) $46.6

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

$p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} }$

Differentiating the above function with a graphing calculator and setting q = 150 gives;

$\frac{dp}{dq} = - 13$

b. The point elasticity of demand is given by the formula;

$e \: = \frac{dq}{dp} \times \frac{p}{q}$

When q = 150, we have;

P = 50

Which gives;

$e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256$

The point elasticity of demand, E = 0.0256

The demand is inelastic (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

$0.0256 \: = \frac{1}{13} \times \frac{p}{140} =$

Which gives;

p = 46.6

The price when the quantity demanded decreases to 140 is $46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

The manufacturer should increase the price, p to increase the revenue, R.

R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

3 0

2 years ago