Kendra loaned three friends a total of $54 using whole dollars. She loaned Phoebe $10 more than she loaned Miriam and loaned Grace twice as much as she loaned Phoebe. How much money did Kendra loan to each of her friends?
Answers
Answer:
Miriam has $6, Phoebe has $16, and Grace has $32
Step-by-step explanation:
So we know Kendra has $54. (I'm being very obvious, aren't I) The first thing we need to figure out is how much money Miriam has. We have to guess around with this since there isn't much info on it anyways. I started guessing around with 5 and ten, and those weren't accurate, so that narrows it down to somewhere in between. Let me explain now how I did it.
If Miriam was loaned $6 of the total of 54, and Phoebe has 10 more dollars than that, she would have 16. Then, if Grace had twice the amount of 16, we know that 16 + 16 (or 16 x 2) equals 32.
Now if we add up Miriam, Phoebe, and Grace's loaned money, we will get our answer.
6 + 16 + 32 = 54
Related Questions
What is the range of the function? f(x)=3^x−1−2
Answers
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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What is the image point of (0, -1) after a translation left 5 units and down 1 unit
Answers
Answer:
(-5,-2)
Step-by-step explanation:
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answers
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
Mr. Levy buys .25 lbs of turkey at the store. The turkey costs $2.55. How much does Mr. Levy spend?
Answers
Answer:
about 64 cents
Step-by-step explanation:
Translate and solve: 82% of what number is 369?
Answers
Answer:
82% of what number is 369
82% of 450 is 369
Answer:
number is 450
Step-by-step explanation:
let the number be x
82% of x=369
\(\frac{82}{100}\)x = 369
82x=369*100
x=36900/82
x=450
40 is what percent of 49
Answers
Answer:
81.63
Step-by-step explanation:
40: 49*100 =
(40*100): 49 =
4000: 49 = 81.63
81,63 %
Step-by-step explanation:
\(\begin{aligned}\frac{40}{49}\times 100\%&=\frac{4,000}{49}\\&\approx\bf 81,63\%\end{aligned}\)
I WILL GIVE BRAINLIEST I NEED HELP
Answers
Answer:
c
Step-by-step explanation:
5/6 divided by 2 1/6=
Answers
Answer:
(5 / 6) / 2 1/6 = 0.384615385
Step-by-step explanation:
Answer:0.2587 hope this helps you out. have a good day!
Step-by-step explanation:
I need the slope. The options are
A. -2 B. 0 C. 1 D. 2
Answers
Answer:
D.2
Step-by-step explanation:
The only feasible answer that I see fit, is D, as it is the only whole number that is perpendicular to the graph.
Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?
Answers
Answer:
9.8 cm
Step-by-step explanation:
Volume of a sphere, V = 4/3 πr³
V = 500cm³
π = 3.14
500 = 4/3 * 3.14 * r³
500 * 3 = 4 * 3.14 * r³
1500 = 12.56r³
r³ = 1500 / 12.56
r³ = 119.42675
r = (119.42675)^1/3
r = 4.9245574
Diameter = 2r
Diameter = 2 * 4.9245574
Diameter = 9.849
= 9.8cm
Help with fractions of a whole number
Answers
Answer:
22 tickets
Step-by-step explanation:
I assume you're asking about question 2
To find a fraction of a whole number you divide by the bottom number and multiply by the top number. If 2/3 are kids tickets then 1/3 are adult tickets so you divide by 3 and multiply by 1
\(66 \div 3 = 22 \times 1 = 22\)
Hi! Emergency. Please answer! I'll mark brainilest. :)))
A triangle has sides of lengths a=37, b=39, c=63 ft.
Find the measures of the 3 angles
Enter your answer as a number; answer should be accurate to 2 decimal places.
Angle A =
°
Angle B =
°
Angle C =
°
Answers
Answer:
angle A: 33.005
Angle B: 35.04
Angel C: 111.955
Step-by-step explanation:
look at attached image for more info
Hope it helps! Have a wonderful day
WHAT IS THE EQUATION FOR INVERSE PROPORTION?
Answers
Answer: Hi!
The equation for inverse proportion is x y = k or x = k/ y.
When finding the value of the constant k, you can use the known values and then use this formula to calculate all of the unknown values.
Hope this helps!
Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answers
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answers
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
House payments work the exact same way except banks usually give you 15 to 30 years to pay it off. What would your monthly payment be on a house if you took a loan out for $85,000 with an APR of 7.1% and you were going to pay it back over a term of 30 years on a monthly basis?
(Also, with houses you can expect to pay another $100 - $300 per month in taxes and insurance depending on where you live and the price of the house.)
The monthly payment is
Question Blank This means you actually pay
Blank for a house that costed $85,000 initially. *This is why it's best to pay off loans early!*
652.23 571.23 489.65 90,200.30 120,642.80 205,641.78
Answers
Using simple interest, it is found that the monthly payments are of $739.00.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
\(A(t) = A(0)(1 + rt)\)
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem:
The loan is of A(0) = 85000.The rate is of r = 0.071.The term is for 30 years, hence t = 30.Then, the total amount will be of:
\(A(t) = A(0)(1 + rt)\)
\(A(t) = 85000[1 + 30(0.071)]\)
\(A(t) = 266050\)
In 30 x 12 = 360 monthly payments, hence:
266050/360 = 739.
The monthly payments are of $739.00.
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A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Which of the following must be true about the inequality and the resulting graph? Select three options.
The inequality should be written as 25 s less-than 300.
The inequality should be written as 25 s greater-than 300.
The circle is open.
The circle is closed.
The arrow points left.
Answers
The correct options are 1, 3 and 5.
Step-by-step explanation:
Let the price of a new shirts be s.
The number of members is 25. The price of 25 shirts is 25s.
The cost must be less than $300. It means
Therefore option 1 is correct.
Divide both sides by 25.
The sign of inequality is < instead of ≤. It means the 12 is not included in the solution set.
Open circle is used for "<" and ">". Closed circle is used for "≤" and "≥".
Since the sign of inequality is <, therefore the circle is open and option 3 is correct.
The value of s is less than 12.
Therefore the arrow points left and option 5 is correct.
Answer:
A,C,E
Step-by-step explanation:
i got it right on edge 2021
Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?
Answers
Answer:
\( \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} \)
20. Find the unknown angle measures.
51°
53°
Answers
The unknown angle measures are d = 76, c = 53, a = 51 and b = 76
Finding the unknown angle measures.From the question, we have the following parameters that can be used in our computation:
The lines
The sum of angles on a line is 180
So, we have
b = 180 - 51 - 53
b = 76
By vertical angle theorems, we have
d = 76
c = 53
a = 51
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A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
Answers
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=16 and the lines x=0 and y=x, by changing to polar coordinates.
Answers
Answer:
\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)
Step-by-step explanation:
\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)
\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)
-
A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?
Answers
Answer:
2 x 30 cm
Step-by-step explanation:
L x W = 60
(2x-12)(3x+9) = 60
6x^2 -18x-168=0
use quadratic fromula to find x = 7 or -4 (throw out)
the sides then become ( using 7)
2 and 30 cm
5. If 2x - y = 10 then for x= 8 what is the value of y?
a) 7
b) 6
C) 5
d) 4
Answers
if x=8 then you need to plug in 8 for your in the equation, so you’d have 2(8) - y = 10
you’d get: 16 - y = 10
you’d then subtract 16 from both sides to get -y alone
so now you have -y = -6
you can’t have a -y so you’ll have to divide -1 from both sides
you’ll end up with y=6, which is your answer
plss help me with this questions plss
Answers
Answer:
I don't know how to do
Step-by-step explanation:
i don't know how to do sorry because I very busy
7. 2
8. 3
9. 1
10. 1
how many time does 80 fit into 415
Answers
Answer:
5 times
Step-by-step explanation:
have a good day/night :)
Answer:
5.19 times
Step-by-step explanation:
just divided 145 by 180
The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3
Answers
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Answers
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
what is an equal ratio to 7:350
Answers
Answer:
1:50
Step-by-step explanation:
Divide 7 by 7
1
Divide 350 by 7
50
So the ratio is 1:50
Hope I helped :)
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Answer:
2%
Step-by-step explanation:
Convert fraction (ratio) 7 / 350 Answer: 2%
find the height of right triangular prism
Answers
The side x of the triangular base prism is 0.4 centimetres.
How to find the side of a triangle prism?The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,
c²= a² + b²
where
a and b are the other legsc is the hypotenuse sideTherefore,
x² = 0.5² - 0.3²
x² = 0.25 - 0.09
x = √0.16
x = 0.4 cm
Therefore,
x = 0.4 centimetres.
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2.
A square-shaped park has an area of 324 yd. What are the dimensions of the park? Write and solve an equation.
Use the pen tool to write and solve the equation,
Then fill in the blank with the correct dimensions
Answers
Answer:
The dimensions of the park is 18yd by 18yd
Step-by-step explanation:
A square-shaped park has an area of 324 yd.
A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².
Length= √324
Length= 18 yd
Dimensions of the park is 18 yd by 18 yd
The dimensions of the park is 18yd by 18yd
Given that,
A square-shaped park has an area of 324 yd.Based on the above information, the calculation is as follows:
\(Length= \sqrt 324\)
= 18 yd
Therefore, Dimensions of the park is 18 yd by 18 yd
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