Answers
Answer:
A scale factor of 4in to 5in should be used
Step-by-step explanation:
Given
[tex]Original\ Measurement = 4.5\ in[/tex]
[tex]Scale\ Measurement = 3.6\ in[/tex]
Required
Determine the scale to use
The scale to use can be represented as:
[tex]Scale = Scale\ Measurement : Original\ Measurement[/tex]
This gives:
[tex]Scale = 3.6\ in : 4.5\ in[/tex]
Divide by 0.9
[tex]Scale = \frac{3.6}{0.9}\ in : \frac{4.5}{0..9}\ in[/tex]
[tex]Scale = \frac{3.6}{0.9} : \frac{4.5}{0.9}[/tex]
[tex]Scale = 4 : 5[/tex]
Related Questions
The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,760 on entertainment. What was their total budget last year? Their total budget last year was?
Answers
Answer: Their total budget last year was $44,000.
Step-by-step explanation:
Given: Smiths spend 6% of their budget on entertainment.
Total budget this year = $ 2000 more than last year.
Let x = Budget for this year.
Money on entertainment = 0.06x = 2760
[tex]\Rightarrow\ x=\dfrac{2760}{0.06}= \$46,000[/tex]
⇒ Budget for this year = $ 46,000
Budget for last year = $ 46,000 - $2,000 = $44,000
Hence, their total budget last year was $44,000.
PLEASE HELP ASAP I AM WILLING 20 POINTS
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answers
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Mr. Bennett purchased a condo several years ago at a selling price of $329,550. Recently he had the condo appraised and it is now worth $184,548. By what percent did the value of the condo go down?
Answers
Answer:
44%
Step-by-step explanation:
Given that,
Initial price = $329,550.
Final price = $184,548
We need to find by what percent the value of the condo go down. The percent decrease or increase is givnen by the formula as follows :
[tex]\%=\dfrac{\text{change in value}}{\text{initial value}}\times 100\\\\=\dfrac{329,550-184,548}{329,550}\times 100\\\\=44\%[/tex]
So, the value go down by 44%.
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answers
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
Find the highest common factor of 55 and 605
Answers
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
Luke invested $2400 in two accounts. The first account pays 3% simple interest. The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years how much will the second account be worth than the first account?
Answers
The second account (compound interest) is worth more than the first account (simple interest) is $105.4.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Luke invested $2400 in two accounts.
The first account pays 3% simple interest.
The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years.
The interest from the first account will be
[tex]\rm Simple \ Interest = \dfrac{2400*3*10}{100} = \$720[/tex]
The interest from the second account will be
[tex]\rm Compound \ interest = 2400(1.03)^{10} - 2400\\\\Compound \ interest = \$825.4[/tex]
Then the second account be worth more than the first account will be
→ $825.4 – $720 = $105.4
More about the compound interest link is given below.
https://brainly.com/question/25857212
pls help
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?
1,300 computers
1,560 computers
975 computers
1,114 computers
Answers
Answer:
1,300 computers
Step-by-step explanation:
As, they are saying they sold 30% of the computers last month
And that 30% was 390
So, x = the total number of computers
30% of x = 390
30% = 30/100 and "of" represents multiplication
So 30/100 X x = 390
We will transpose everything
30x = 39000
x = 39000 ÷ 30 = 1,300
So 1,300 computers were sold
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
thats your graph: tell me of somethings wrong with the picture or you need anything else
ASAP like now I need help!!!!
Answers
Answer:
(5x + 40), (7x + 8), (10x)
Step-by-step explanation:
Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get
Choose the description that matches the inequality p > -3.
A line traveling to the right with a closed dot on p = -3.
A line traveling to the left with an open dot on p = -3.
A line traveling to the left with a closed dot on p = -3.
A line traveling to the right with an open dot on p = -3.
Answers
Answer:
The correct option is: A line traveling to the right with an open dot on p = -3.
Option D is correct option.
Step-by-step explanation:
Choose the description that matches the inequality [tex]p > -3[/tex].
The inequality states that, the value of p is greater than -3
For drawing the number line for the inequality, we know that if p > -3, there will be open circle on -3 because -3 is not included and the greater values are on the right side of number line, so line will be travelling to right side.
The number line is attached in figure.
So, The correct option is: A line traveling to the right with an open dot on p = -3.
Option D is correct option.
Evaluate the power
(17) 2=____
If your answer is a fraction use the / as the fraction bar. NO SPACES
Answers
Answer:
289
Step-by-step explanation:
Raise 17 to the power of 2
Is this what you are asking for
Raise 17 to the power of 2
Simplify the expression,
3x + 2x + x =
Answers
105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie
Answers
Answer:
17.5
105 divided by 6 equals 17.5
18 cars are needed to get all 105 people to the movie.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, 105 people are going to a movie 6 people can ride in each car.
Let the number of cars required be x.
Now, x= Total number of people/Number of people in each car
= 105/6
= 17.5
≈ 18
Therefore, 18 cars are needed to get all 105 people to the movie.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Write the equation of a line parallel to the line y = 2x that passes through -2,-1
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
A school store ordered 12 boxes of notebooks. For each box they paid for, their bank account said -$16.50. What did their bank account show after they paid for all 12 boxes? (Write your answer in dollars $)
Answers
Answer:
-198 dollars
Step-by-step explanation:
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answers
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answers
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.
Answers
Answer:
20 turtles
Step-by-step explanation:
40 divide 2 = 20
PLEASE HELP ASAP I AM WILLING 10 points
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for TOTAL DEDUCTIONS for this pay period was $
Answers
Answer:
$240.87 is how much you made. Hope this helps and I wish you luck.
I ate 4 tacos in 1 day, but I only ate 3 tacos, how many are left?
Answers
Answer:
1?
Step-by-step explanation:
ya is it 1??Step-by-step explanation:
three friends attend a cinema and buy tickets using this offer buy 2 tickets and get one free. they each pay 5.80. how much does each ticket cost
Answers
Answer:
2.90
Step-by-step explanation:
if you dive the amount they have by to you get the answer
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answers
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
60 minutes is 20% of
minutes.
Answers
Answer:
60 minutes is 20% of 300 minutes
Step-by-step explanation:
let x be the number of total minutes
60 = 20% of x
20% = 1/5
60 = 1/5x
multiply both sides by 5
300 = x
x = 300 minutes
What is the value of X
Answers
Answer:
b. 12
Step-by-step explanation:
[tex] {h}^{2} = {x}^{2} + {y}^{2} \\ {x}^{2} = {h}^{2} - {y}^{2} \\ x = \sqrt{ {h}^{2} - {y}^{2} } \\ x = \sqrt{ {(15)}^{2} - {(9)}^{2} } \\ x = \sqrt{225 - 81} \\ x = \sqrt{144} \\ x = 12[/tex]
Do y'all know which one it is if so tell me and plz explain why.
Answers
its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D
Answer:
C or Equal To
Step-by-step explanation:
The input was 0 at first
50 - 50 is 0
Hope this Helps
▼・ᴥ・▼
2x + 7 =30, x = 3 true or false
Answers
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
8 (n + 2) = __n + __
Answers
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
8 (n + 2)
8 x n + 8 x 2
= 8n + 16
Can someone help me?
Answers
Answer:
10.72
Step-by-step explanation:
use pithagriam therom
Can the remainder be greater than the quotient?
Answers
Yes and no it depends
but it is possible
Answer:
Yes
Step-by-step explanation:
Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.
• A florist is arranging flowers for a wedding. For every 2 pink flowers in a vase, he also includes 8 white
flowers.
a. Complete the table below PLEASE HELP ME
Answers
Answer: It's 1 - 4
2 -8
3 -12
6 - 24 Your welcome
Step-by-step explanation: