John and Shawn are racing to see who can get his community service hours for scouting completed first. John, who has already completed 40 hours, plans to volunteer for 5 hours per week going forward. Shawn hasn't started yet, but plans to dedicate 15 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?
Answer:
John and Shawn spent the same number of hours after [tex]4[/tex] weeks.
Step-by-step explanation:
Number of hours already completed by John to his volunteer project [tex]=40[/tex] hours
Number of hours spent by John each week to his volunteer project [tex]=5[/tex] hours
Number of hours spent by Shawn each week to his volunteer project [tex]=15[/tex] hours
Suppose John and Shawn spent the same number of hours after [tex]x[/tex] weeks.
Therefore,
[tex]40+5x=15x[/tex]
[tex]40=15x-5x\\40=10x[/tex]
[tex]x=4[/tex] weeks.
So,
John and Shawn spent the same number of hours after [tex]4[/tex] weeks.
A rectangle has a height of w^2+3w+9w 2 +3w+9w, squared, plus, 3, w, plus, 9 and a width of w^2+2w 2 +2w, squared, plus, 2. Express the area of the entire rectangle.
Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
What is the answer to this?
Answer:
b
Step-by-step explanation:
iam thinking it's b but let me know if I am rong
A community is building a square park with sides that measure 150 meters. To separate the picnic
area from the play area, the park is split by a diagonal line from opposite corners. Determine the
approximate length of the diagonal line that splits the square. If necessary, round your answer to
the nearest meter.
Answer:
212 meters
Step-by-step explanation:
The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)
2 * 22500 = 45000
The square root of 45000 is about 212.13, which would round down to 212 meters.
Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. That was $25 less than 2 times the amount he paid for it. Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?
Answer:
p/2 - 25 = 150
Step-by-step explanation:
I'll try my best.
$150 would be the initial value, so we would use that for the base.
$25 less means subtract 25 dollars in this context.
2 times means multiply by 2.
"$150 was $25 less than 2 times the amount he paid for it ([tex]p[/tex])."
[tex]\frac{p}{2} -25 = 150[/tex]
If you were to solve this:
[tex]\frac{p}{2} -25 = 150[/tex]
[tex]\frac{p}{2} =175[/tex]
[tex]p=350[/tex]
The answer I get from the equation would be $350.
If you input 350 into it:
[tex]\frac{(350)}{2} -25[/tex]
[tex]175 -25[/tex]
[tex]150[/tex]
Answer:
P = 150 ÷ 2 - 25 = p
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.
To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?
Solution: It says; "That was $25 less than 2 times the amount he paid for it"
With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2
[tex]150[/tex] ÷ [tex]2 =[/tex] [tex]75[/tex]
Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75
[tex]75 - 25 = 50[/tex]
Therefore, the amount of money Harry originally paid for the scooter is $50
Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p
Factorise: x³ + 32x + 20.
Answer:
cant be factored
Step-by-step explanation:
6 + 9= −3 −21 –6
I need help how do u solve steps plz
Plans for a
rectangle-shaped garden will include a
2-foot wide cement walkway surrounding it,
as shown in the picture below.
Answer:
You don't have a picture
Step-by-step explanation:
Answer:
Hmmm the picture....? Please send it
Write 72.0506 correct to
(i) 2d.p
Answer:
72.05
Step-by-step explanation:
72.0506 - 72.05
..
...
Easy question first answer gets brainliest find 90% of 55
Answer:
49.5
Step-by-step explanation:
90% of 55 is 49.5
heeeeeeeeeeeeeeeeeeeeeeeelpppppppppppp
Answer:
Slope = -⁵/3
Step-by-step explanation:
See the attachment below. In the attachment, the green line represents the the rise while the red line represents the run of the line.
The slope = rise/run
Rise = 5
Run = 3
Slope = -(5/3)
Slope = -⁵/3 (the slope would be negative because the line slants downwards from your left to the right)
What is the first step to solving 8=2/3x
Answer:
the first step is to divide two by three x
Answer:
x = 12
Step-by-step explanation:
Eliminating the fractional coefficient would be a great start:
8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.
Then x = 12
A pile of sand has a weight of 76 kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 1:2:5.
Work out the weight of sand in each bag
Answer:
1- 9.5kg
2- 19kg
5- 47.5kg
Step-by-step explanation:
1+2+5= 8
76÷8= 9.5
9.5 ×1= 9.5
9.5× 2= 19
9.5× 5= 47.5
¿que porcentaje de rebaja se hace en una deuda de $4.500 que se reduce a $3.600? debe ir desarrollo
Answer:
80%
Step-by-step explanation:
[tex]\frac{3600}{4500}= \frac{y}{100}[/tex]
4500 × y = 100 × 3600
4500y = 360000
4500y ÷ 4500 = 360000 ÷ 4500
y = 80
147 + 1025 % 16 * 2 =
help me plsssss
Answer:
275.125
Step-by-step explanation:
there you go
if a=8 8=b what does b equal?
why does it equal that?
Answer:
B equals 8
Step-by-step explanation:
Because it says so.
Answer:
a=b
Step-by-step explanation:
using the substitution property of equality, since both a and b equal 8 you can determine that they are equal to each other
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
1) Let's remember that the tan of an angle is the opposite side over the adjacent side.
2) opposite side over adjacent side = 35/12. D
please please help lol ;)!
Answer:
All you do is just double the radius, the radius is half of the diameter so the diameter is 10.
Step-by-step explanation:
Don't forget it's 10mm not cm
Robert is going to invest $640 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Robert to end up with $1,280?
Answer:
Interest rate ≈ 3.48%
Step-by-step explanation:
The rate of interest is 0.87 percent.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal= $640, time= 20 years and amount =$1280.
The interest is compounded quarterly.
Here, 1280=640(1+r/100)⁸⁰
1280/640 = (1+r/100)⁸⁰
2 = (1+r/100)⁸⁰
1.0087 = 1+r/100
0.0087=r/100
r=0.0087×100
r=0.87%
Therefore, the rate of interest is 0.87 percent.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ3
Which characteristics best describe a right scalene triangle? I. Two sides meet at a 90° angle. II. Two side lengths are equal. III. One angle is greater than 90°. IV. None of the sides are equal in length.
Answer:
1
1V
Step-by-step explanation:
Out of every 6 students surveyed, 1 listens to country music. At this rate, how many students in a school of 1,200 listen to country music?
Answer:
200 students
Step-by-step explanation:
1200/6 = 200
200x1= 200 students
Answer:
200!
Step-by-step explanation:
1/6=x/1200 and i have to rite an explanation but thats all so yea! hope this helped
Geometry ! No links please
The Answer Is CD=5
AB/BC=2
2=BE/CD
2/1=10/X
2/1=10/5
2=2
Ariana wants to buy a house in a few years. She spends $100 a month on takeout coffee. She spends $200 a month on fast food. What can she do to save money for her house?
Answer:
Hm, if Ariana wants to save money for her house, she should spend less money on fast food a month because if she spending $100 dollars for takeout coffee and spending at the same time a month for fast food. she should eat less fast food and less money for coffee because she would be spending way too much money because F = $200 and C = $100 dollars, so $200 + $100 dollars would be $300 dollars a month. she could still have takeout coffee however, not every month. The fast food needs to be taken out of her diet as well because its the fact its unhealthy and costing her way too much money, she should stop having fast food and not have coffee or the fast food EVERY MONTH, she could have the fast food evert 5 months and her takeout coffee every once a month. hopefully this helps ^^
Answer:
Step-by-step explanation:
Hiroki's mom is worried he is not saving enough. She says he should save some money for an emergency. He says he can use his credit card in an emergency. Who is right
helpppppppppppppppppp
Answer:
160 cm^2
Step-by-step explanation:
All you do is separate the boxes, then you l x w to find the answer then add it up when you finish.
A - 2 x 10 = 20
B - 5 x 2 = 10
C - 5 x 10 = 50
D - 5 x 2 = 10
E - 2 x 10 = 20
F - 5 x 10 = 50
Add these numbers up (all of them!) to get your answer.
What you would get is 160.
Point P is at (3,-3) it undergoes the transformation (x - 2, y + 3). Where is P' at?
Answer:
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Step-by-step explanation:
The coordinates of the point P' is determined by the following expression:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':
[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]
[tex]P'(x,y) = (1, 0)[/tex]
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Please help. Will Mark brainly
Point B is tangent to the circle so the angle ABC would be 90 degrees.
Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible:
Vertical asymptotes x = -4, x = 5;
x-intercept (-2, 0)
Answer:
[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]
Step-by-step explanation:
Since the roots are -4 and 5, we can write that as
[tex](x + 4)(x - 5)[/tex]
Apply foil method to find our denominator.
We get
[tex] {x}^{2} - x - 20[/tex]
So that our denominator.
Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.
Since our x intercepts is -2, we use
[tex](x + 2)[/tex]
So our rational denomiater is
[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]
Shelia is dividing x4 – 4x3 + 4x2 – 6x + 5 by x – 1 using a division table. Quotient Divisor x3 – 3x2 + x – 5 x x4 –3x3 x2 A – 1 –x3 3x2 B C What are the missing value in the table?
A = –5x; B = 1x; C = 5
A = –5x; B = –1x; C = 5
A = 5x; B = –1x; C = 5
A = 5x; B = 1x; C = 5
Answer:
B. A = –5x; B = –1x; C = 5 EDG 2021
Step-by-step explanation:
enjoy
what is the result when (2x+2)^2 is subtracted from 1
Answer:
- 4x² - 8x - 3
Step-by-step explanation:
We want to calculate
1 - (2x + 2)² ← expand using FOIL
= 1 - (4x² + 8x + 4) ← distribute parenthesis by - 1
= 1 - 4x² - 8x - 4 ← collect like terms
= - 4x² - 8x - 3
Write an equation for each the following
1. b varies directly with the square of t
2. Y is inversely proportional to the cubre root of r
3. r varies jointly as t and u
4. m varies directly as the square of n and inversely to p
Answer:
1. b = kt²
2. Y = k / 3√r
3. r = ktu
4. m = kn² / p
Step-by-step explanation:
1. b varies directly with the square of t
b = k * t²
b = kt²
2. Y is inversely proportional to the cubre root of r
Y = k / 3√r
3. r varies jointly as t and u
r = k * t * u
r = ktu
4. m varies directly as the square of n and inversely to p
m = (k * n²) / p
m = kn² / p
1. b = kt²
2. Y = k / 3√r
3. r = ktu
4. m = kn² / p