Determine whether each expression was simplified correctly.

Ji and Layla played a game in which they scored 10 points for a correct answer and lost 20 points for an incorrect answer. Ji an

Finger [1]

Layla had the higher score by 20 points.

Step-by-step explanation:

Given,

Points for correct answer = 10 points

Points for incorrect answer = 20 points

Loss means subtraction;

Therefore,

Total points of Ji = Correct answers*10 - Incorrect answers*20

Total points of Ji = 7*10 - 3*20

Total points of Ji = 70 - 60

Total points of Ji = 10 points

Total points of Layla = Correct answers*10 - Incorrect answers*20

Total points of Layla = 5*10 - 1*20

Total points of Layla = 50 - 20

Total points of Layla = 30 points

Difference = Points of Layla - Points of Ji

Difference = 30 - 10 = 20 points

Layla had the higher score by 20 points.

Keywords: multiplication, subtraction

Learn more about subtraction at:

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6 0

3 years ago

A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6

OlgaM077 [116]

Answer:

P = 0.40x + 0.50y

Explanation:

The objective function is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the profits that a manufacturer earns from two types of bottled coffe drinks: cappuccinos and cafés au lait.

Each bottle of cappuccino earns a profit of $0.40 and each bottle of café au lait earns a profit of $0.50.

Then:

using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

P = 0.40x + 0.50y

That is the objective function, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0

3 years ago

Read 2 more answers

Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that

True [87]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-5-7}{4-(-2)}$ (two negative signs cancel each other out and become positive)

$m=\frac{-5-7}{4+2}$

$m=\frac{-12}{6}$ Simplify the fraction

m = -2

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

3 0

4 years ago

if a 100 n weight sits on a scale in a express elevator, what will happen to the weight shown on the scale when the elevator acc

Whitepunk [10]

Answer:

The phrasing of the question is weird, but the mass should not change. The scale may read higher for a moment, but once the mass is brought up to the same velocity of the elevator, it should settle back to 100.

4 0

3 years ago

HALP URGENT PLS im dum x =x=x, equals ^\circ ∘

deff fn [24]

Considering the angle of the ray, it is found that the value of x is of x = 55º.

<h3>What is the angle of the ray?</h3>

The ray has an angle of 180º. It is composed by:

Angle x.

An angle of 35º.

An angle of 90º.

Hence:

x + 35 + 90 = 180

x = 180 - 125

x = 55º.

More can be learned about angles and rays at brainly.com/question/25770607

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7 0

2 years ago

Read 2 more answers

Determine whether each expression was simplified correctly.​

Determine whether each expression was simplified correctly.