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marusya05 [52]
3 years ago
5

Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequal

ity x - 2 < 65 represents the situation. What will be included in the solution set in the context of the problem?
Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

Answer: D

Step-by-step explanation:

Trava [24]3 years ago
3 0
In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
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A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality?
Zinaida [17]

Answer:

\frac{4}{7}

Step-by-step explanation:

The constant of proportionality is the slope of the line joining the two points

(70,40) and (49,28).

Recall the slope formula:

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

We substitute the point to get:

m =  \frac{28 - 40}{49 - 70}  =  \frac{ - 12}{ - 21}  =  \frac{4}{7}

<u>Alternatively</u>:

A proportional relation is given by

y = kx

where k is the constant of proportionality.

Using any point, we substitute and solve for k.

40 = 70k

k =  \frac{40}{70} = \frac{4}{7}

8 0
3 years ago
Laney and Maka are tutors. Laney charges $10 for travel expenses plus $32 per hour of tutoring. The dollar amount Maka charges c
dezoksy [38]

Answer: Total amount earned by Laney in 4hour=$138

Total amount earned by Maka in 4hours=$134

Difference =$4

Step-by-step explanation:

Since

Maka charges can be modeled by the equation F=30h+14,

where h =number of hours that Maka tutors

F = the total amount earned. Following same model

With 14 being the charge in dollar for travel expenses.

Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as

F= 32h +10

Such that total amount earned by

Maka in 4hours gives

F=30h+14

F=30x4 +14

F=120+14=$134

In the same vein the total amount earned by Laney in 4hours gives

F=32h+10

F= 32x4+10

F=128+10=$138

The difference in money earned by Laney and Maka = $138-$134= $4

7 0
2 years ago
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
Anna35 [415]

Answer:

$29, that is the answer for this question

8 0
3 years ago
Which of the following ordered pairs represents an output of 5 and an input of -8?
m_a_m_a [10]

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

6 0
3 years ago
Can someone help me?<br> (if you can show your work that would be nice).
lubasha [3.4K]

Answer:

1. x1=15.75.

2. 24/48=0.5

3. 24/25=0.96

Step-by-step explanation:

1. 15.75/18=0.875

2. you multiply 48 times 0.5 to find 24.

3. multiply 0.96 with 25 to get 24.

3 0
2 years ago
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