Answer:
25
Step-by-step explanation:
let the total of potatoes and turnips be x
total ratio=1+3
=4
3÷4×x=75
3x=75×3
3x=300
x=300÷3
x=100
HELPP PLEASE FAST!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set
Method 1: A pure algebraic approach
The unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:
original price - (percent of decrease)(original price) = sale price
Since the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%.
Here's what we know so far:
The original price was $200
The sale price was $170
The percent of increase was x%
Putting this information in our word equation gives us an algebraic equation:
200 - (x%)(200) = 170
What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:
200 - (200) = 170
Now we'll solve our equation:
200 - (200) = 170
200 - 2x = 170
-2x = -30
x = 15
So the percent of decrease is 15%
Method 2: A method involving pure arithmetic.
If we know the original price and the sale price, we can find the percent of decrease in two steps:
Find the amount of decrease
Divide the amount of decrease by the original amount
This will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.
Let's use method 2 on the same problem:
Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?
First, let's find the amount of decrease:
Amount of decrease = 200 - 170 = 30
So the price decreased by $30.
Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:
Percent of decrease = = = .15 = 15%
So the percent of decrease is 15%
Before we leave the problem, let's check our answer:
Original price = $200
Price reduced by 15% of original price = 200(.15) = $30
Sale price would then be = $200 - $30 = $170
Our answer checks. We're done! Me not know if correct.
What is the approximate area of the unshaded region in the figure below
Answer:
where is the shaded part?
Step-by-step explanation:
Answer: We can't answer the question without a shape or an expatiation. Please try again with an image or at least tell the answers and image in detail.
Step-by-step explanation:
what are the coordinates of the point X'if the image is rotated 90° counter clockwise
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
Use the Distributive Property to expand the expression -3(6.3x + 1.5y)
Answer:
(-3*6.3x)+(-3*1.5y)
(-18.9x)+(-4.5y)
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
The answer is below,
Step-by-step explanation:
n+q=205n+25q=400
I hope this helps! :)
Help help help help help help pls
Answer:
a.) 36
b.) 18
c.) 27
Step-by-step explanation:
HELP ASAP (1O BRAILY/POINTS FOR ANSWER)
What is the value of x in the solution of the system?
x + y = 3
y = -6x + 3
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
-5b = -20 b= need help with homwork
Answer:
b = 4
Step-by-step explanation:
you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal
b = -20/-5
b = 4
If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.
Answer:
Step-by-step explanation:
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
The answer is,
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
here. given that,
U is the set of all multiples of 3 less than 20,
i.e. U={3,6,9,12,15,18}
and M={3,12,18},
Mc (the complement of M),
i.e. M'={6,9,15}.
Hence, we get, U={3,6,9,12,15,18} , M={3,12,18} & M'={6,9,15}.
To learn more on set click:
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Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
An artifact had 16 grams of carbon-14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 8065 years
Answer:
129024.387
Step-by-step explanation:
16e^(-0.000121)*8065 = 129024.387
Find the distance between a point (-7,-19) and a horizontal line at y = 3 .
The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.
The vertical distance would be the y value to the line.
-19 to 0 would be 19 and from 0 to 3 is 3
Total distance is 19 + 3 = 22
The answer is 22
a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?
Answer:
y = 75 - x
Step-by-step explanation:
From the question, we are given variables, and then we can see that
when x = 75 then y = 0
when x = 30 then y = 45
Finding the difference, we have
slope(m) = (45 - 0) / (30 - 75)
slope(m) = 45 / -45
slope(m) = -1
Next, we use the calculated m, to find b, using the formula
y = mx + b
0 = -1 * 75 + b
0 = -75 + b
b = 75
And finally, to get the needed equation, we say that
so y = mX+c
So that
y = -1 * x + 75
y = -x + 75
or y = 75 - x
What is 39/20 written as decimal ?
Answer:
1.95
Step-by-step explanation:
Answer all of these
18% of 34
27% of 81
85% of 74
54% of 90
33% of 360
TOPIC
62% of 75
4% of 56
6% of 140
© 12% of 625
5% of 134
Finding a Percent of a
90% of 44
9% of 17
48% of 20
70% of 69
2% of 800
Some doctors recommend that no more than 30% of a
person's daily calones come from fats. Following this
recommendation. If you eat 2,400 calones in a day, what
is the maximum number that should come from fats?
When training for a fight Rocky tries to maintain a heart
rate that is 80% of his maximum heart rate, Rocky has a
resting heart rate of 60 and a maximum heart rate of
175 beats per minute. What is his training heart rate?
mbe
Answer:
18% of 34 = 6.1227% of 81 = 21.8785% of 74 = 62.954% of 90 = 48.633% of 360 = 118.862% of 75 = 46.54% of 56 = 2.246% of 140 = 8.412% of 625 = 755% of 134 = 6.790% of 44 = 39.69% of 17 = 1.5348% of 20 = 9.670% of 69 = 48.32% of 800 = 16-------------------------------------
30% of 2400 = 720 calories--------------------------------------
80% of 175 = 140 beats per minute3х + 1 = 7
3x + 1 = 7
-1 -1
Зх
—
Helpppppppp
Answer:
6
Step-by-step explanation:
3x+1 = 7
3x+1-1 = 7-1
3x = 6
Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00
Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.
________ ____ ______
Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?
A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls
Answer: B - 5 basketballs and 2 soccer balls
Step-by-step explanation:
Answer:B
Step-by-step explanation:
A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?
Answer:
4/9
Step-by-step explanation:
simplify if you ned
d to
n(s) = 9
n(e) = 6
p(e) = 6/9 = 2/3
Step by step explanation
1. n(s) = Number of sample space
2. n(e) = Number of events
here , question asks to find the probability of marbles that are not blue , that means
red and green so n(e) = 6
3. p(e) = probability
Samantha is observing a salt crystal under a microscope. She wants to view more details by enlarging the image of
the crystal. Which would allow her to do this?
O increasing the amount of light that shines on the crystal
O decreasing the amount of light that shines on the crystal
O increasing the strength of the objective lens
O decreasing the strength of the objective lens
Answer:
increasing the strength of the objective lens ,
Answer:
C
Step-by-step explanation:
on edge
Write 2 equations needed to solve this problem
Answer:
x = - 8, x = - 6
Step-by-step explanation:
Given
8 | x + 7 | - 3 = 5 ( add 3 to both sides )
8 | x + 7 | = 8 ( divide both sides by 8 )
| x + 7 | = 1
The expression inside the bars can be positive or negative, thus
x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved
x + 7 = 1 ( subtract 7 from both sides )
x = - 6
or
-(x + 7) = 1
- x - 7 = 1 ( add 7 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
I need help with like 3 or 4 questions please help
Answer:
x=3y-6
Step-by-step explanation:
x−3y=−6
Step 1: Add 3y to both sides.
x−3y+3y=−6+3y
x=3y−6
Answer:
x=3y−6
Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8
help pleasseeeeeeeeee 6. If Ai charges $3.25 per serving of ice cream, how much will she make if she sells it to 12
½ people (children under 5 get half scoops for half the amount, which is why there is a
half person).
Answer:
40.62
Step-by-step explanation:
that's the answer I got
Help me out here pleaseeeeee
Answer:
C
Step-by-step explanation:
I'm walking and walking
Answer:
Chicken feed
Step-by-step explanation:
Chicken feed: .70
Goat feed: .80
Dog feed: .75
Pig feed: .79
Answer:
Goat Feed
Step-by-step explanation:
Chicken- 1.40
Goat- 1.25
Dog- 1.33
Pig- 1.265823
A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
A. (195 - 286) + 1.992 underroot46/45 + 58/40
B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40
C. (195 - 286)+ 1.992 underrot 140² 158²/45+40
D. (286 - 195) + 1.992 46 1582 45 +40
E. (195-286) +1.992 462 + 58 45 40
Answer:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
Step-by-step explanation:
Given that:
NEWER CARS:
Sample size = n1 = 45
Standard deviation s1 = 46
Mean = m1 = 195
OLDER CARS:
Sample size = n2 = 40
Standard DEVIATION s2 = 58
Mean = m2 = 286
Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025
Confidence interval is calculated thus : (newer--older)
(m1 - m2) ± Tcritical * standard error
Mean difference = m1 - m2; (195 - 286)
Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)
Standard error (E) = sqrt((s1²/n1) + (s2²/n2))
E = sqrt((46^2/45) + (58^2/40))
Hence, confidence interval:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
Given that:The first sample consists of owners of newer cars
First sample's size = [tex]n_1 =45[/tex]First sample's mean = [tex]\overline{x_1}=\$195[/tex]First sample's standard deviation = [tex]s_1 = \$46[/tex]The second sample consists of owner of older cars.
Second sample's size = [tex]n_2 = 40[/tex]Second sample's mean = [tex]\overline{x_2}=\$286[/tex]Second sample's standard deviation = [tex]s_2 = \$58[/tex]To find:95% confidence interval for difference between both samples' means.
Calculations and Explanations:Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.
The CI is given as:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)
Thus,
[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]
Learn more about confidence interval here:
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What is the present value of ₱30,000 due in 27 months at 3% compounded annually?
Answer:
32,063.06
Step-by-step explanation:
the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]
so to use this you are essentially solving for a.
p is the principle (or initial) amount deposited.
r is the rate (in percent)
n is the number of time periods compounded (like annually, monthly, weekly, or daily)
t is the time period (in years)
In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]
You then solve for A using the formula. It is important to remember to use the order of operations
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answer:
$5.34
Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
help please! 16 points
Answer:
3
Step-by-step explanation:
divide the top number by the bottom to always find the constant of proportionality :D
Answer:
3
Step-by-step explanation:
y is being multiplied by 3 to get the x values. Hope this helped you!! Give brainliest.
if you can buy 3 loaves of bread for $5 how many loaves can you buy for $12
Answer:
You can buy 6 because it cost 2.50 for 1 loaf
Step-by-step explanation: