Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
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?
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%.
Do y'all know which one it is if so tell me and plz explain why.
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・▼
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.
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.
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?
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.
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
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
Then after you graph what is the ordered pair (x,y)
Answer:
Step-by-step explanation:
8 (n + 2) = __n + __
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
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
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%
Find the highest common factor of 55 and 605
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
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 $
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
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 $)
Answer:
-198 dollars
Step-by-step explanation:
Only number 14. Pls explain this is confusing
Answer:
9.8
Step-by-step explanation
basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12
sin55*12=x x=9.8
2x + 7 =30, x = 3 true or false
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
What is the value of X
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]
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.
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
60 minutes is 20% of
minutes.
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
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?
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
Helppp me plsss!!!! I need help
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 $
Answer:
$240.87 is how much you made. Hope this helps and I wish you luck.
Write the equation of a line parallel to the line y = 2x that passes through -2,-1
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
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.
Answer:
20 turtles
Step-by-step explanation:
40 divide 2 = 20
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
Answer:
2.90
Step-by-step explanation:
if you dive the amount they have by to you get the answer
Can someone help me?
Answer:
10.72
Step-by-step explanation:
use pithagriam therom
Can the remainder be greater than the quotient?
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.
I ate 4 tacos in 1 day, but I only ate 3 tacos, how many are left?
Answer:
1?
Step-by-step explanation:
ya is it 1??Step-by-step explanation:
ASAP like now I need help!!!!
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
Evaluate the power
(17) 2=____
If your answer is a fraction use the / as the fraction bar. NO SPACES
Answer:
289
Step-by-step explanation:
Raise 17 to the power of 2
Is this what you are asking for
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
Answer:
y = 2x + 5
Step-by-step explanation:
thats your graph: tell me of somethings wrong with the picture or you need anything else
• 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
Answer: It's 1 - 4
2 -8
3 -12
6 - 24 Your welcome
Step-by-step explanation:
Simplify the expression,
3x + 2x + x =