answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
artcher
3 months ago
7

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep

resents the total amount of money Mike earned for both weeks? *
Mathematics
1 answer:
zzz [12.3K]3 months ago
5 0

The expression indicates that the total earnings of Mike over the two weeks amount to 2.05x dollars

Solution:

It is given that Mike earned x dollars during the first week at his new job,

While in the second week, he earned 5% more than the earnings of the first week.

To determine: Total earnings over the two weeks

From the information provided,

Earnings in the first week = "x" dollars

Earnings in the second week = 5% more than first week earnings

Thus,

Earnings in the second week = x + 5% of x

\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x

Therefore, earnings in the second week equal to 1.05x dollars

The total earnings over the two weeks:

Total earnings = Earnings from first week + Earnings from second week

Total\ Amount = x + 1.05x = 2.05x

Thus, the expression for the total earnings of Mike for both weeks is 2.05x dollars

You might be interested in
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,200.
Leona [12618]

Answer:

14110

Step-by-step explanation:

Let x = number of pages;

μ = 12200; σ = 820

Zscore = (x - μ) / σ

Zscore = (x - 12200) / 820

Zcritical for 99% confidence, with a one-tailed test equals 2.33

Hence, Z at 99% = 2.33

Substituting in for Zscore = 2.33

Zscore = (x - 12200) / 820

2.33 = (x - 12200) / 820

2.33 * 820 = x - 12200

1910.6 = x - 12200

1910.6 + 12200 = x

x = 14110.6

x = 14111

The number of pages to advertise for the cartridge is 14,110

5 0
1 month ago
Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of
PIT_PIT [12445]

Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

7 0
3 months ago
Read 2 more answers
Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1 10 ) + ( 5 × 1 100 ) . A. 92.35 B. 920.350 C. 902.
AnnZ [12381]

The question is not properly framed

Complete Question

Identify all decimals equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ). A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035

Response:

E. 920.35

Explanation:

( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100)

Step 1

(900) + (20) + (3/10) + (5/100)

Step 2

900 + 20 + 0.3 + 0.05

Step 3

920.35

Thus, the result is 920.35

4 0
2 months ago
.580 80 repeating as fraction
Svet_ta [12734]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
2 months ago
Read 2 more answers
(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba
Inessa [12570]
629.20 divided by 520 equals 1.21
Power of 6V1.21 equals 1.0323
Interest rate is 3.23
7 0
3 months ago
Other questions:
  • The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight
    11·1 answer
  • max is bisecting a segment. first. he places the compass on one endpoint and opens it to a width larger than half of the segment
    9·2 answers
  • The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect
    9·1 answer
  • The results of a survey are shown below. In the survey, 12 students said that they would like to learn French.
    8·2 answers
  • HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70%
    7·2 answers
  • Which number rounds 2341.78 when rounded to the nearest hundredth?
    15·2 answers
  • Seams Personal advertises on its website that 95% of customer orders are received within four working days. They performed an au
    8·1 answer
  • Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s
    10·1 answer
  • Sarah plans to sell homemade birdhouses at the local craft fair. She spent $90 on new tools and estimates that she spends $6 in
    8·2 answers
  • Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table wit
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!