Final answer:
The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.
Explanation:
To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.
For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.
For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.
For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.
Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day
In the diagram, ABC = AWRS. What is the perimeter of
AWRS?
10 units
11 units
12 units
13 units
There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.
Answer:
the answer is c
Step-by-step explanation:
I just did this
Sandra budgets $580 each month for living expenses. She nets $1640 semimonthly.
What percent of her net monthly income does she budget for living expenses?
35%
24%
18%
16%
Answer:18%
Step-by-step explanation:
Sandra's Monthly budget on expenses for living expenses = $580
Sandra's semimonthly net = $1640
Sandra's monthly net = $1640 x 2 = $3280
The percent of her net monthly income that she budget on living expenses is:
= (Budget on living expenses / Monthly net) x 100
= (580 / 3280) x 100
= (0.176829) x 100
= 17.68% = 18% (approximately)
Answer:
18%
Step-by-step explanation:
Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on the way back home, he drove 60 mph. What was his average speed?
Answer:
50 mph
Step-by-step explanation:
To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2
Add the two numbers
40+60=100
now just divide by 2 because there was 2 drives giving you 50 mph
Hope this helps!
:)
I need help on these 2 questions. Algebra 1
Answer:
7. is G
8. f(4)=-120
Step-by-step explanation:
7. les do f(0)=4 since its the easiest
F. f(0)=0.4(0+5)(0-2)
0.4*-2*5=-4 NOT IT. the ans. is +
G. f(0)=-0.4(0+5)(0-2)
-0.4*-2*5=4 YESSSSSS
H. f(0)=-0.4(0-5)(0+2)
-0.4*2*-5=4 YESSSSSS
J. f(0)=0.4(0-5)(0+2)
0.4*2*-5=-4 NOT ITTTT
so G n H
Put both equation=0
G. 0=-0.4(x+5)(x-2)
x=-5,2 YASSSS this is the ans.
Lashonda bought a suit on sale for $603. This price was 33% less than the original price.
Answer:
$404.01 dollars
Step-by-step explanation:
603*33%=198.99
600-198.99=$404.01
MARK BRAINLIEST
Answer:
The suit costs $401.01
Step-by-step explanation:
$603.00 x .33 = $198.99
600.00 - 198.99 = 401.01
Savings Account You deposit $1800 into a savings account that
earns 2% interest compounded annually. Find the balance after
2 years.
The balance after 2 years will be $1872.72.
To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:
[tex]\[ A = P(1 + r)^n \][/tex]
Where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (expressed as a decimal).
- n is the number of years the money is deposited for.
Given:
[tex]- \( P = $1800 \)[/tex]
[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)
[tex]- \( n = 2 \)[/tex] years
Plug these values into the formula and solve for A :
[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]
[tex]\[ A = 1800(1.02)^2 \][/tex]
[tex]\[ A = 1800(1.0404) \][/tex]
[tex]\[ A = 1872.72 \][/tex]
I really need help but I keep getting my question taken down. Please help.
2. Draw a right triangle with side lengths of 3, 4, and 5 units (cm or inches – your choice). Make sure to label all parts including side lengths, vertices, and the right angle. You may insert an actual picture of your drawing below or upload the picture in the Unit 2 TGA submission area.
Answer:
See the figure attached.Explanation:
In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.
The hypotenuse is opposite to the right angle.
You must draw a small square inside the right angle. In the figure the right angle is labeled C.
The other two sides are the legs: in this case their lengths are 3units and 4 units.
The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.
The vertices are marked with capital letters. I used A, B, and C.
With this explanation you can understand the figure attached and build one on your own.
Answer:
My options of triangles
28913 To the nearest thousand
Answer:
29000
Step-by-step explanation:
Nearest thousand means the thousand at which the digit is nearest to. Now in approximation, we round up numbers from 1 to 4, to Zero while numbers from 5 to 9 are rounded up to 1.
28913 is between thousand 28,000 and 29000.
And then to be rounded up to the nearest thousand, the digit 9, before the thousand digit 8, in the number 28913 will therefore will rounded up to 1 and added to the thousand digit 28.
We therefore have 29,000
Helpppp How do y’all do this
8^(x+2)÷2^(x+2)=4⁶
4^(x+2)=4⁶
x+2=6
x=4
Answer:
x=4
Step-by-step explanation:
8^(x+2)÷2^(x+2)=4⁶
4^(x+2)=4⁶
x+2=6
x=4
a. At the beginning of the year, Addison Company’s assets are $300,000 and its equity is $100,000. During the year, assets increase $80,000 and liabilities increase $50,000. What is the equity at year-end?
Equity at the end of the year = $130,000
Step-by-step explanation:
Step 1:
Given ,
Asset of the company at beginning of year = $300,000
Equity of the company at beginning of year = $100,000
Increase of the assets during the year = $80,000
Increase of the liabilities during the year = $50,000
We need to find the equity at the year end.
Step 2 :
The equity at any point can be obtained by using the formula
equity = assets - liability
At the beginning of the year ,
100,000 = 300,000 - liability
So liability = 300,000 - 100,000 = 200,000
Step 3 :
During the year, assets increase $80,000 and liabilities increase $50,000
So assets at the year end = 300,000 + 80,000 = $380,000
liabilities at the year end = 200,000 + 50,000 = $250,000
Therefore
Equity at the year end = 380,000 - 250,000 = $130,000
Step 4 :
Answer :
Equity at the year end = $130,000
What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12
The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
Explanation:
The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]
To determine the solution of the equation, let us solve the equations by elimination method.
Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]
Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]
Adding these two equations, we have,
[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]
Dividing both sides by 23, we have,
[tex]\frac{23x}{23} =\frac{46}{23}[/tex]
[tex]x=-2[/tex]
Thus, the value of x is [tex]x=-2[/tex]
Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,
[tex]4 (-2)+5 y=7[/tex]
[tex]-8+5 y=7[/tex]
[tex]5y=15[/tex]
[tex]y=3[/tex]
Thus, the value of y is [tex]y=3[/tex]
Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
The solution to the system of equations, is: (-2, 3).
Solution to System of EquationsTo find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.
Given:
4x + 5y = 7 --> Eqn. 13x – 2y = –12 --> Eqn. 2Multiply eqn. 1 by 3 and eqn. 2 by 4:
12x + 15y = 21 --> Eqn. 1
12x – 8y = –48 --> Eqn. 2
Subtract:23y = 69
Divide both sides by 23y = 3
Substitute y = 3 into eqn. 1.
4x + 5(3) = 7
4x + 15 = 7
4x = 7 - 15
4x = -8
x = -2
Therefore, the solution to the system of equations, is: (-2, 3).
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Please help with this question ¯\(°_o)/¯
|-1| < |-2|
third answer
When a negative number is in a pair of | |, it turns into a positive. Positive numbers stay the same.
1. Find the kinetic energy of a ball moving at 45 m/s with a mass of 0.18kg.
Answer:
182.25 J
Step-by-step explanation:
KE = (0.5)*m*v^2
KE = (0.5)*(0.18 kg)*(45 m/s)^2
KE = 182.25 Joules
Hope this helps!
Final answer:
The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.
Explanation:
The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.
KE = (1/2) imes 0.18 kg imes (45 m/s)²
= 0.09 kg imes 2025 (m/s)²
= 182.25 joules
Therefore, the kinetic energy of the ball is 182.25 joules.
A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%, how much does she have in each account?
Answer:
The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Step-by-step explanation:
We are given the following in the question:
Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.
The woman invested has three times as much invested at 7% as she does at 6%.
Thus, we can write the equation:
[tex]x = 3y[/tex]
The total interest is $1,350.
Thus, we can write the equation:
[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]
Solving the two equations by substitution method:
[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]
Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Vhich graph represents the function f(x) = x2 + 5?
Answer:
I would say Graph 2 because if its showing f(x)=x2+5
there are no negatives in this equation, so I think it is graph 2
The graph of the function is attached to the solution.
The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,
Since, there is no negative sign so, the parabola will be opened up,
Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.
So, the graph will be an upward opened parabola with its vertex at (0, 5)
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Teds car is now worth 9000 which is 60% of what he paid for it . What did he pay for his car
Answer:? 5,400.
Step-by-step explanation:
Six times a certain number is 12 more than four times the number. Find the number.
Answer:
6
Step-by-step explanation:
Let the number be A
Given 6 times A is 12+ (4 xA)
That’s
6 x A = 12 + 4A
6A = 12 + 4A
Subtract 4A from both sides
6A - 4A = 12 - 4A - 4A
2A = 12
Divide both sides by 2
A = 12/2
A = 6
The number is 6
1. Juan paid $2.52 for 12 ounces of peanuts
What is the unit rate?
P.S I’m in 6th grade and I need to know if I got this right please!!
Answer:
$0.21
Step-by-step explanation:
2.52/12
How do i write the decimal of 214.013 in words?
two hundred fourteen and thirteen thousandths
Answer: two hundred fourteen and thirteen thousandths
Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.
Find
196
O A) 14
OB) 13
OC) 17
OD 15
what is the focus of the parabola
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
enter your answer in the Box
I've seen so many wrong answers and I got it wrong on my quiz
answer: (-4,1)
Answer:
(-4,1)
Step-by-step explanation:
The given parabola is
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
When we rewrite in vertex form, we get;
[tex]y = - \frac{1}{4} {(x + 4)}^{2} + 2[/tex]
Or
[tex]{(x + 4)}^{2} = - 4( y - 2)[/tex]
When we compare to:
[tex]{(x - h)}^{2} = 4p( y - k)[/tex]
We have 4p=-4
This means p=-1
But the vertex is at:
(-4,2)
Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.
Hence the focus is (-4,1)
(a) How would you characterize the relationship between the hours spent on homework and the test scores (Positive or Negative, Linear or Non-Linear)? Explain.
(b) Paul used the function y= 8x + 40 to model the situation. What score does the model predict for 4 hours of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?
Please don’t answer if you are guessing. Answer if you really know the answer. And if you don’t understand the three questions, answer the ones you do know.
Answer:
a) Positive linear
b) 72
c) Marks scored when no time is spend on homework.
Step-by-step explanation:
a) relationship between the hours spent on homework and the test scores
As the time spent on homework increases the test score increases.
Similarly if less time is spent on homework, there would be a decrease in test score.
The two variables are directly related.
Thus, there relationship can be expressed as a positive linear relationship.
b) The model function
[tex]y= 8x + 40[/tex]
where y is the test score and x is the time spent on homework in hours.
Score predicted by model when x = 4
[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]
Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.
c) Interpretation of 40
When x = 0
[tex]y(0)= 8(0) + 40 = 40[/tex]
Interpretation:
Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.
A cubic centimeter is the space taken by a square whose sides are 1
centimeter long.
O
A. True
SE3
B. False
SUBMIT
Answer:
False
Step-by-step explanation:
A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.
Round to the nearest percent
Answer:
79%
Step-by-step explanation:
Area of the square:
1 + 1 = 2
2 × 2 = 4
Square = 4 units^2
Area of the circle:
pi × 1^2
pi × 1
1pi
Square = 3.14 units^2
Let's find probability:
3.14 ÷ 4 = 0.785
0.785 × 100 = 78.5
There is a 78.5% chance of landing in the circle. This percentage can be rounded to 79%
what is x to the power of two over three in parenthesis to the power of five over two
Answer:
[tex]x^{\frac{5}{3} }[/tex]
Step-by-step explanation:
You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]
Multiply.
(5x - 2)2
A. 25x + 20x + 4
B. 25x2 - 4
C. 25x2 - 20x+ 4
D. 25x2 - 10x + 4
Answer:
Step-by-step explanation:
Factor using the perfect square rule.(5x−2)2
answer using factor
Answer: 25x2+40x+16
Step-by-step explanation:
John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?
Answer:
he got 24 right
Step-by-step explanation:
30 time 80% is 24
John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.
To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:
First, convert the percentage to a decimal. 80% becomes 0.80.Next, multiply the total number of questions (30) by the decimal (0.80):0.80 * 30 = 24
Therefore, John answered 24 questions correctly out of the 30 questions on the test.
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
4 ⋅ 5
4 + 5
4^5
5^4
Answer:
4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result
Step-by-step explanation:
I am just trying to help. I hope it works!
Diego's result is the same as Noah's result and that is 4 ⋅ 5, For each expression.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
Noah starts with 0 and then adds the number 5 four times.
i.e. we get,
Noah: 5+5+5+5=20
again, we have,
Diego starts with 1 and then multiplies by the number 5 four times.
i.e. we get,
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
so, we have,
that, For each expression, we get 20
we know,
20 = 4*5
i.e. 4 multiplied by 5.
Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5, For each expression.
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Simplify this algebraic expression completely 9x-6(x+4)
Step-by-step explanation:
9x-6(x+4)
9x-6x-24
3x-24
Answer: 3x-24
Step-by-step explanation:
what is the area of this star?
Answer:
9.45cm^2
Step-by-step explanation:
1.5*1.5=2.25
A=BH/2
2.4*1.5/2=1.8
1.8*4=7.2
7.2+2.25=9.45
Answer:
Step-by-step explanation:
2.4 x 1.5/2 to get the area of the triangle
so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do
1.8 x 4= 7.2
and the middle part is 1.5 x 1.5 which is 2.25
and do 7.2 plus 2.25 which is 9.45cm