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BabaBlast
8 days ago
10

Last weekend, Lena worked 7.5 hours on Friday, 9.75 hours on Saturday, and 6.25 hours on Sunday.

Mathematics
1 answer:
tester [8.8K]8 days ago
3 0
202.1.
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Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
Svet_ta [9500]

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as E(x) = 7x - 25, where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

E(x) = 7x - 25

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

y= - 25

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

4 0
1 month ago
Read 2 more answers
It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​
tester [8842]

Answer:

x = 25

Step-by-step explanation:

Given that ray AP divides angle CAT, it implies that

\angle CAT=\angle CAP+\angle PAT

Also, \angle CAP = \angle PAT

This leads to, \angle CAT=2\angle PAT

As stated,

\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4

Consequently,

5x+17=2(3x-4)\\\\5x+17=6x-8

Grouping similar terms together,

5x-6x=-8-17\\\\-x=-25\\\\x=25

Thus, x is 25.

8 0
13 days ago
Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What
lawyer [9240]

Answer:

2/5

Step-by-step explanation:

By subtracting 130, 35, and 74 from the total of 400, you arrive at 160 left. Next, simplify this fraction by finding the greatest common divisor to get 2/5!

8 0
1 month ago
Read 2 more answers
Micaela has a bat that is 30 inches long. She wants to fit it in a cube shaped box that has sides that are 17 inches. Will the b
PIT_PIT [9117]
No, the bat won't fit because 30 divided by 17 equals 1.765

6 0
17 hours ago
Read 2 more answers
−7x−50≤−1 AND−6x+70>−2
PIT_PIT [9117]

Answer:

-7\geq x and [-7,12) expressed in interval notation.

Step-by-step explanation:

A compound inequality -7x-50\leq -1\text{ and }-6x+70>-2 has been provided. Our task is to determine the solution for this inequality.

Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.

-7x-50\leq -1

-7x-50+50\leq -1+50

-7x\leq 49

By dividing with a negative number, it is necessary to reverse the inequality sign:

\frac{-7x}{-7}\geq \frac{49}{-7}

x\geq -7

-6x+70>-2

-6x+70-70>-2-70

-6x>-72

Again, dividing by a negative requires flipping the inequality sign:

\frac{-6x}{-6}

x

In combining both intervals, we will arrive at:

-7\geq x

Thus, the solution for the inequality provided is -7\geq x and [-7,12) in interval notation.

7 0
1 month ago
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