If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?
Answer:
55 from un-pure and 165 from pure
Step-by-step explanation:
to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
we call the un-pure mixture a and the pure mixture b
all un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
all pure parts come from a and b in the following rations
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
now to double check
55 * (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95 again
There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
We call the un-pure mixture a and the pure mixture b
All un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
All pure parts come from a and b in the following rations.
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
Now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
Now to double check
55 x (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95
Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.
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Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Based on the information that's given, the account balance after the years given will be $27654.20.
The formula for simple interest is calculated as:
= PRT / 100
where,
Principal = $22825
Rate = 4.03%
Time = 5 years, 3 months = 5.25 years
Therefore, the simple interest will be:
= ($22825 × 4.03 × 5.25) / 100
= $4829.20
Therefore, the amount will be:
= $22825 + $4829.20
= $27654.20
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Answer:
The amount will be $27654.20
Step-by-step explanation:
HELP PLEASE!!!
What is the ratio of 1713.57^2/4113.87^3.
Answer:
4.21747×10^-5
Step-by-step explanation:
Your calculator can do the division for you. The ratio is about 4.21747×10^-5.
__
This is approximately 10/237109.
write an expression that is equivalent to (-16)^-2
Answer:
1/256
Step-by-step explanation:
(-16)^-2
= 1/(-16)^2
= 1/ (-16· -16)
= 1/ 256
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3
Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
7/13 as a decimal rounded to the nearest hundredth
Answer:
0.54
Step-by-step explanation:
Answer:
0.54
Step-by-step explanation:
calculator. easy.
out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys
Answer:
3/5
Step-by-step explanation:
so first of all...
out of
300
students,
180
are boys.
180/300
which, simply by 60
3/5
so.. 3/5 of the people at rsm (whatever that is) summer camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...
In rsm summer camp, fraction of boys is 3/5.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Total number of students at rsm summer camp = 300.
Total number of boys at rsm summer camp = 180.
To find the fraction of boys to all students.
Fraction of boys = number of boys / total number of students
= 180 / 300
= 18 / 30
= 3 / 5
The required fraction of boys is 3/5.
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3. Solve by graphing. Round each answer to the nearest tenth.
x^2 - 7x = 11
Answer:
-1.3, 8.3
Step-by-step explanation:
Based on the graph below, the solutions are -1.3 and 8.3.
what is the total number of edges on a rectangular prism
Answer:
12 edges
Step-by-step explanation:
A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.
Answer:
12
Step-by-step explanation:
The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there
Brennan studied the relationship shown in the table.
x 3 4 5 6 7
y 36 48 60 72 ?
Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
y = 12x
Step-by-step explanation:
Note the relationship
x = 3 : y = 36 , that is 36 = 12 × 3
x = 4 : y = 48, that is 48 = 12 × 4
x = 5 : y = 60 , that is 60 = 12 × 5
x = 6 : y = 72 , that is 72 = 12 × 6
The value of y is obtained by multiplying corresponding x value by 12
Then
x = 7 → y = 12 × 7 = 84
in general for any x
y = 12x
If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made
Answer:
30:12
Step-by-step explanation:
please help asap for brainlist
Answer:
3rd one i think so or it will be last question
which grade question is this
Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS
(6a - 8) + 50 = 90
6a - 8 + 50 = 90
6a + 42 = 90
6a = 90 - 42
6a = 48
a = 48/6
•°• a = 8
Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R
Answer:
T, Q, and R
Step-by-step explanation:
These points are all on the same line, making them collinear.
I hope this helps!!
what is the x coordinate to the solution for the following system of equations
x = 2y
4x - 3y = 15
Answer:
x=6
Step-by-step explanation:
x=2y
4x-3y=15
4(2y)-3y=15
8y-3y=15
5y=15
y=3
x=2y
x=2(3)
x=6
56 x 4 + 5 - 53=x
(x) x 23 + 500
Step-by-step explanation:
56× 4=224
224+5= 229
229-53=176
176×23=4048
4048+500=4548
The answer is = 4548
On a map, two cities are 5 3/4 inches apart. the scale of the map is 1/2 inch equals 3 miles. what is the actual distance between the towns?
Answer:
18
Step-by-step explanation:
5.5 x 3=16.5
Add 1.5 and you get 18
i need help with this!!
Answer:
Answer: x <-4Step-by-step explanation:
you need to do it step by step and use something that will help
8x-4<-36
8x<-36+4
8x<-32
Answer: x<-4
In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?
Answer:
59
Step-by-step explanation:
x= tens place of number
y= ones place of number
set up equations:
"sum of the digit is 14"
sum is the result of addition
x+y=14
"Twice the tens digit exceeds the units digit by one"
2x is bigger than y by 1
if 2x is bigger, then add 1 to the opposite side to balance the equation:
2x=y+1
with 2 equations you can solve for 2 variables:
2x=y+1
2x-1=y
substitute into x+y=14
x+(2x-1)=14
3x-1=14
3x=15
x=5
------
subtitute to find y
x+y=14
5+y=14
y=9
number is 59
WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT
Answer: As x increases, the slope of the graph increases.
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost
$28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy?
How many shirts did she buy?
ONLY ORIGINAL ANSWERS OR NO BRAINLIEST WILL BE GIVEN AND NO SITES OR CHEET SHEETS
If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.
what is 1/2 (6x+10) - 25
Answer:
3x - 20
Step-by-step explanation
simplify 1/2
STEP 3
Pulling out like terms
3.1 Pull out like factors :
6x + 10 = 2 • (3x + 5)
Equation at the end of step
3 (3x + 5) - 25
Final result : 3x - 20
2. Approximate e?. Round your answer to the nearest tenth
Answer:
1096.6
Step-by-step explanation:
The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.
Answer:
1096.6.
Step-by-step explanation:
e = about 2.7
2.7^7is about 1046
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .The Independent variable is the numbers of months after the first year .The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .Step-by-step explanation:
Hope this helps you !!Jerry took a test that had 45 questions on it. He got 36 correct. Enter the
percentage of questions Jerry got correct.
Answer:
80% is what he got on the test
the difference of x and 15 is 62 solve for x
Answer:
x is 77
Step-by-step explanation:
Answer:
x = (-77)
Step-by-step explanation:
The other one is wrong. He did it right, but he forgot the -.
) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?
Answer:
it would take 2 hours with 3 pumps
Step-by-step explanation:
hope this helps! :D
The circle passes through the point (-1.5, 2.5). What is its radius?
Choose 1 answer
2.5
V1.5
1.5
/2.5