Sale price = 120
percentage off = 15% = 15/100 = 0.15 (decimal form)
Multiply the regular price by the percentage discount, that expression must be equal to the sale price.
x (1-0.15 ) = 120
Solve for x (regular price)
x 0.85 = 120
x = 120/0.85
x=$ 141.18
In Mr. Ferreia's class, 80% of the students live more than half a mile from school. Of those students, 80% come to school by public transportation. Of the students using public transportation, 75% take the bus, and 75% of those students buy monthly bus passes. Nine students buy monthly passes. How many students are in Mr. Ferreira's class?
Answer:
25 students
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
80% of 80% com by public transportation, it's 64% (0.8 x 0.8)
75% of 64% take the bus, it's 48% (0.64 x 0.75)
75% of 48% buy monthly passes, it's 36% (0.75 x 0.48)
0.36x = 9 (nine students buy monthly passes)
x = 25 (students)
A rectangle has a length that is 6 cm less than the width. The area of the rectangle is 72 cm squared. Find the dimensions of the rectangle.
Answer:
width = 12, length = 6
Step-by-step explanation:
x(x - 6) = 72
x² - 6x = 72
x² - 6x - 72 = 0
(x - 12)(x + 6) = 0
x = 12 or -6
length cannot be negative so x = 12
width = 12 and length = 6
If you only have a 1/4 measuring cup and a recipe calls for 3 1/4cups of flour, how many 1/4 cups would you need to use?
Answer:
17 cups i believe. lemme check. naw its 13
Step-by-step explanation:
Answer:
in total 3 cups of 1/4 of flour.
Step-by-step explanation:
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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Please help me find the area (show work)
Answer:
Area: 107.625 feet squared
Step-by-step explanation:
A = 8+13/2 (10.25)
A = 21/2 (10.25)
A = 10.5 (10.25)
A = 107.625 feet squared
Can you answer these questions?
Answer:
hope this answer helps you dear....take care!
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
Answer:
I think the answer is 14 miles
Step-by-step explanation:
63/270=x/60
270x=3780
x=14
A sculpture of the Earth is 829 kg. How many hydrpgen atoms
The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.
Given that,
Mass of the sculpture of the earth = 829 kg
We know that,
Mass of an hydrogen atom = 2 × 10⁻²⁷ kg
Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom
= 829 / 2 × 10⁻²⁷
= 414.5 × 10²⁷
= 4.145 × 10²⁹
Hence the required number of atoms is 4.145 × 10²⁹.
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HELP ME PLEASE I NEED TO GET THIS DONE!!!!! When given a set of cards lying face down that spell M, A, T, H, C, L, U, B, determine the probability of randomly drawing a consonant.
six eighths
two sixths
six tenths
one third
Answer:
six eighths
Step-by-step explanation:
There are 2 vowels and 6 consonants in MATHCLUB, so the probability of randomly drawing a consonant would be 6/8 (or 3/4 simplified).
A dolphin swims 15 feet below sea level, and then jumps 4 feet above sea level. How far did the dolphin rise?
Answer:
19 feet
Step-by-step explanation:
The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.
Morris started work today at 7 a.m. and worked until 4:30 p.m. He earns $12 per hour for his regular shift, which is 8 hours, and 50% more per hour for overtime. How much money did Morris make today?
Need help solving this problem
Answer:
Step-by-step explanation:
q is TFTF
~q use negation, not q so is the opposite of q : FTFT
p↔~q use biconditional ,and will be True only is both statements are T or both are F
p values are TTFF ↔~q values are FTFT : FTTF
(p↔~q )∧~q use conjunction, that is True only if both statements are T
(p↔~q ) values are FTTF ∧~q values are FTFT : FTFF
(p↔~q )∧~q → p use a conditional statement, where only True False will give a F
(p↔~q )∧~q values are FTFF → p values are TTFF : TTTT
A honeybee sitting on a tulip wanted to fly to a daffodil located 100 meters due east. Although the honeybee flew in a straight line, it mistakenly flew in a direction 5° south of east. When the bee was directly south of the daffodil, how far was the bee from the daffodil? Show or explain your work.
Answer:
Not sure if this is correct but I think 100 meters. Because he was directly south, meaning the extra 5° doesnt matter at this point.
The required distance, bee dar from the daffodil is 8.74 meters.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
A honeybee sitting on a tulip wanted to fly to a daffodil located 100 meters due east. Although the honeybee flew in a straight line, it mistakenly flew in a direction 5° south of east.
Applying tanФ operator,
tanФ = perpendicular/base
Since perpendicular distance is the distance that bee moved toward the south,
And base distance is 100 meters toward the east,
So,
tan5 = x/ 100
x = 100 tan5
x = 8.74 meters
Thus, the required distance, bee dar from the daffodil is 8.74 meters.
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What is the absolute value of 2 - 9i ?
Help me out
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Absolute value.
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
\( |y| = \sqrt{ {2}^{2} + {9}^{2} } \)
so we get as,
|y| =
\( \sqrt{81 + 4} = \sqrt{85} \)
so the absolute value is
\( \sqrt{85} \)
what is the cube root of 324000
I think it's this, I did it on a calculator
68.6828545532
Simplified version so that it contains a radical = 30∛12
Answer:
68.6828545532
Step-by-step explanation:
What is 9(2g-h) simplified
Step-by-step explanation:
9(2g - h) = ...
= (9•2g) + (9•(-h))
= 18g - 9h
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month, and she will be making this purchase on the last day
of the month.
Part A
If her finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show your work.
Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle?
Part A: If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.
Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.
Equations are depicted using the equation symbol (=).
What is a finance charge?A finance charge includes the interest and other fees charged on credit cards.
The finance charge is usually based on a stated APR (annual percentage rate).
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)
Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
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For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the
following would be the approximate length of the line of cars?
A. 1/2 mile
B. 1/8 mile
C. 800 feet
D. 300 feet
Answer: D. 300 feet
Step-by-step explanation: 300 feet would be the approximate length of the line of cars
Answer:
answer would be C !
Step-by-step explanation:
1.6=Y/1.5 WHAT IS THE ANSWER
Isolate the variable Y by multiplying 1.5 on both sides.
\(Y=1.6*1.5\)
\(Y=2.4\)
Hope this helps.
頑張って!
Answer:
y=2.4
Step-by-step explanation:
You need to get Y alone so just multiply it with the reciprocal: 1.5/1 on both sides. This cancells out the denominator and just multiplies 1.6 with 1.5 to get 2.4
Charlie has—$19 in his bank account. This is $28 more then Steve’s bank account. How much money does Steve have in his bank account?
Answer:
may be incorrect but probably not -9
Step-by-step explanation:
19 - 28 = -9
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long will it be before Amanda catches up to Ben?
Amanda will catch up to Ben after approximately 36 minutes.
How to determine when Amanda catches upTo determine how long it will take for Amanda to catch up to Ben, we can set up an equation based on their respective speeds and the time difference.
the distance traveled by Ben is given by:
Distance = Speed * Time
Distance = 2 mi/h * (t + 1.5) h
the distance traveled by Amanda is given by:
Distance = Speed * Time
Distance = 7 mi/h * t h
equating both distances
2(t + 1.5) = 7t
2t + 3 = 7t
3 = 5t
t = 3/5
Therefore, it will take Amanda 3/5 of an hour (or 36 minutes) to catch up to Ben.
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A freight truck must drive a load 1450 miles. If the truck gets 9 miles to the gallon and diesel fuel costs $4.25 per gallon, how much money will the truck drives spend on fuel during the trip?
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Solve for h. 6+h+8=24
Answer:
the answer to your question is h = 10
Answer:
h<-20We think you wrote:
-24>6/7(h-8)
This deals with linear inequalities.
Overview
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Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-24-(6/7*(h-8))>0
Step by step solution :
STEP
1
:
6
Simplify —
7
Equation at the end of step
1
:
6
-24 - (— • (h - 8)) > 0
7
STEP
2
:
Equation at the end of step 2
6 • (h - 8)
-24 - ——————————— > 0
7
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 7 as the denominator :
-24 -24 • 7
-24 = ——— = ———————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-24 • 7 - (6 • (h-8)) -6h - 120
————————————————————— = —————————
7 7
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-6h - 120 = -6 • (h + 20)
Equation at the end of step
4
:
-6 • (h + 20)
————————————— > 0
7
STEP
5
:
5.1 Multiply both sides by 7
5.2 Divide both sides by -6
Remember to flip the inequality sign:
Solve Basic Inequality :
5.3 Subtract 20 from both sides
h < -20
Inequality Plot :
5.4 Inequality plot for
-0.857 X - 17.143 < 0
One solution was found :
h < -20Find the perimeter of this semi-circle with diameter, d = 78cm.
Give your answer rounded to 1 DP.
Answer:
3.14 ×78cm which 3.14 is pie so the area will be the answer
Answer:
200.5cm
Step-by-step explanation:
The solution is in the image
-33/44 leave your answer in fraction
Answer:
-3/4
Step-by-step explanation:
An object is launched at 24.5 meters per second from a platform that is 68.6 meters tall. The equation for the object's height in meters, h, at t seconds after the launch is shown below.
h =-4.9t2 + 24.5t + 68.6
What does point (3,30) on the graph mean?
Answer:
It's the last answer
Step-by-step explanation:
Because 3 represents the number of lawns mowed.
30 represents the amount paid.
Brainliest?
Answer:
Means the last answer
Step-by-step explanation:
points are (x,y)
x axis is left and right
Y is up and down