A tune-up automotive facility marks up its
parts by 45%. Suppose that the facility
charges its customers $2.03 for each spark
plug it sells. What is the facility's cost for each
spark plug?
Answer: $1.40
Work Shown:
x = cost before markup
1.45x = cost after the 45% markup
1.45x = 2.03
x = (2.03)/(1.45)
x = 1.40
Simplify 5b4×4b3 what is the answer for it
Answer:
[tex]{ \rm{ {5b}^{4} \times {4b}^{3} }}[/tex]
• from laws of indices:
[tex] \hookrightarrow \: { \boxed{ \rm{ {rx}^{n} + {px}^{m} = (r \times p) {x}^{(n + m)} }}} \\ [/tex]
• substitute:
[tex]{ \rm{ {5b}^{4} \times {4b}^{3} = (5 \times 4) {b}^{(4 + 3)} }} \\ \\ = { \boxed{ \boxed{ \rm{ \: 20 {b}^{7} \: \: }}}}[/tex]
Express your answer in scientific notation. 0.00045 – 2.5-10-5
Answer:
17.49955
Step-by-step explanation:
Hope this helps
HELPP! I will give brainliest
Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?
Please i need this now
Answer:
356
Step-by-step explanation:
She will earn a total of $296.
We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.
We have to determine - How much will Alani earn if she works for 37 hours.
If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.The amount of money you will earn will be = $30[tex]x[/tex].
According to question, we have -
Pay per hour = $8
Number of hours she work in a week = 40 hours
For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -
$8 x 37 = $296
Hence, she will earn a total of $296.
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A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
solve pls brainliest
Answer:
7.5 < 7.5061 < 7.56 < 9.213
Step-by-step explanation:
Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate
Answer:
$300
Step-by-step explanation:
Diane's interest rate on the loan is approximately 8.43%.
Let's determine Diane's interest rate step by step.
1. First, we need to understand the formula for simple interest:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
where:
P = Principal amount (initial loan amount)
R = Interest rate (unknown, what we want to find)
T = Time period in years
2. We have the following information from the problem:
P = $3000 (Principal amount)
SI = $253 (Total interest paid)
T = 11 months
3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:
T = 11 months ÷ 12 months/year
≈ 0.917 years
4. Now, let's rearrange the formula to solve for the interest rate (R):
R = SI / (P × T)
Substituting the given values:
R = $253 / ($3000 × 0.917) ≈ 0.0925
5. Finally, we need to convert the interest rate from a decimal to a percentage:
R = 0.0925 × 100 ≈ 8.43%
So, Diane's interest rate on the loan is approximately 8.43%.
In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.
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Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50%
Step-by-step explanation:
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2
Georg invests $5000 for 14 years at a rate of 2% per year compound interest.
Calculate the interest he receives.
Answer:
[tex]\frac{1}{50}[/tex] or 0.02
Step-by-step explanation:
2% x 1 to give the answer
or
reduce it to faction like
[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]need help with this plz
Answer:
[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]
PLEASE HELP ITS MATH THANK YOUUUU
Answer: 7:1
Step-by-step explanation:
The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.
Carlos has earned more than $260 selling magazines subscriptions. Each subscription
was sold for $12. How many did Carlos sell?
Answer:
21.6 magazines
Step-by-step explanation:
260/12=21.6
Select all of the terms that are "like." 1/2 xy x 2 2xy -xy xy 2 2x 2y
Answer:
not sure about it this one is tuff
Facts about a linear relationship
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b
Step-by-step explanation:
Consider the following, what is the summation of all solutions?
(2x+4)^2+1=5
Answer:
- 4
Step-by-step explanation:
(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify
4x² + 16x + 16 + 1 = 5
4x² + 16x + 17 = 5 ( subtract 5 from both sides )
4x² + 16x + 12 = 0 ( divide terms by common factor 4 )
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4
The sum of the lengths of KLM is 16.14 cm. The length of KL is 6 cm and the length of KM is 4.9 cm. What is the length of KM? A. 27.04 cm B. 5.34 cm C. 5.24 cm D. 5.14 cm
Answer:
im pretty sure its 1/44 plz make me branliest
Step-by-step explanation:
Need some help I’m really trying graduate
Help Me Pls
1.Virgie will equally give P 742.60 among her 4 nephews. How much will each nephew get?
A. P 185.65
B. P 85.56
C. P 158.65
D. P185.55
2.Php 5876 are distributed equally among 26 men. How much money will each person
get?
D.P 262
C. P 262
B. P 226
A. P 225
3.Bernard wants to cut a straight board into 4 equal pieces. The board is 112.12 cm
long. How long should Bemard cut each piece?
D. 28.04
C. 28.03
B. 28.02
A. 28.01
4.When the in a basket is grouped into 2, 3 or 5, there is always an extra.
5.How many 25centavo coins are equal to P 5.00?
D. 18
C. 21
B. 19
A. 20
The amount that will be gotten by each nephew when Virgie will equally give P 742.60 among her 4 nephews will be $185.65.
Since Virgie will equally give P 742.60 among her 4 nephews, the amount that each nephew gets will be:
= 742.60 / 4
= $185.65
If Php 5876 are distributed equally among 26 men, the amount that each person gets will be:
= Php 5876 / 26
= Php 226
If Bernard wants to cut a straight board into 4 equal pieces and the board is 112.12 cm, the length of each piece will be:
= 112.12cm / 4
= 28.03cm
The number of 25cents coins that are equal to P 5.00 will be:
= 5/0.25
= 20
There will be 20 25 cents coins on P5.00.
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Heyyyyy help mee please
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answer:
385 is the result of multiply 77 by 5
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2.
4
3
0.4
15 )
3
0.875
4
1
0
0.5
2
16 )
0.625
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6)
7)
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7
1
2
0.6
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17)
0.4
34 23
w/ color on alo.
4
8)
0.717
6
18 )
0.825
4
9)
0.65
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0.592
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0.667
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0.692
Need Kona talaga para bukas please
Answer:8
Step-by-step explanation:
help me answrr the 4th question please
Step-by-step explanation:
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a
In the year 2005, a company made $6 million in profit. For each consecutive year
after that, their profit increased by 13%. How much would the company's prohl be in
the year 2007, to the nearest tenth of a million dollars?
Answer:
The profit will be 7.7 million in 2007
Step-by-step explanation:
6x(1+ 0.13)^2
6x1.13^2
6x1.2769
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.
Answer:
3/4
Step-by-step explanation:
you can make it into a fraction just putting it like this 9/12
well 12 - 9 = 3
so we divide by it
9÷3 = 3
12÷3 = 4
lastly you put these as a fraction
3/4
I hope this helps :)
Someone pls help- am struggling.
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
they are already paralell
Step-by-step explanation:
ok
Find the greatest common factor of 50,75, and 150
Answer: 25
Step-by-step explanation:
To find the greatest common factor of an number, you start by listing the factors of each number. The factor that appears the greatest amount of times is the greatest common factor.
175: 1,5,7,25,35,175.
75: 1,3,5,15,25,75.
25:1,5,25.
The number 25 in this case appears the most frequently, therefore the answer is 25.
The greatest common factor (GCF), of the given numbers 50, 75, and 150 is 25.
To find the GCF, we identify the common factors of the given numbers and then select the largest one. The common factors of 50, 75, and 150 are the numbers that divide each of them without leaving a remainder.
In this case, 25 is the largest number that divides all three numbers evenly.
50 = 2 × 5 × 5
75 = 3 × 5 × 5
150 = 2 × 3 × 5 × 5
Since 25 is present as a factor in all three numbers, it's the greatest common factor.
Therefore, The GCF of 50, 75, and 150 is 25.
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A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?