Answer:
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Step-by-step explanation:
Let
Width = 17 × width
Length = 8 × length
8l = 17w
l = 17w/8
Perimeter of a rectangular yard = 2(length + width)
400 = 2(17w/8 + w)
400 = 34w/8 + 2w
400 = 17/4w + 2w
400 = 17w+8w/4
400 = 25w/4
Cross product
1600 = 25w
Divide both sides by 25
w = 1600/25
= 64 feet
Recall,
l = 17w/8
= 17*64 / 8
= 1088/8
= 136 feet
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Given b(x) = [X+41, what is b(-10)?
Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25
Answer:
Option D. y = – 5x² + 20x + 25
Step-by-step explanation:
We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:
The solutions are simply the values through which the graph cuts the x-axis.
The solutions are x = – 1 and 5.
Next, we shall obtain the equation for the graph as follow:
x = – 1 Or x = 5
x + 1 = 0 or x – 5= 0
(x + 1) (x – 5) = 0
Expand
x(x – 5) + 1(x – 5) = 0
x² – 5x + x – 5 = 0
x² – 4x – 5 = 0
Multiply through by 5
5x² – 20x – 25 = 0
Rearrange
0 = 0 – (5x² – 20x – 25)
= – 5x² + 20x + 25
Thus, the equation is:
y = – 5x² + 20x + 25
Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. How much did thier night out cost if the tax rate is 8%?
Answer:
their night cost them $33.21
Step-by-step explanation:
Find (f+g)(x).
f(x) = 2x2 – 2x+7
g(x) = 4x2 – 2x + 9
Answer:
6x^2 -4x +16
Step-by-step explanation:
(2x^2 -2x +7) + (4x^2 -2x +9)
6x^2 -4x +16
The graph shows the number of miles traveled by a train over a 5 hour trip.
180
160
140
120
100
Miles
Traveled
80
60
40
20
0
1
2
4
5
3
Hours
How fast is the train traveling?
A. 30 miles per hour
B. 32.5 miles per hour
C. 35 miles per hour
D. 40 miles per hour
Answer: 35
Step-by-step explanation:
5 -x -x = -1 what is x ?
Answer:
x=3
Step-by-step explanation:
[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]
hope it helped you:)
Answer:
3
Step-by-step explanation:
5-2x=-1
-5__-5
____-6
-2
3
Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold ribbon, does he have enough to decorate the top of the box?
This question is incomplete and lacks the required diagram
Complete Question
Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold ribbon, does he have enough to decorate the top of the box?
Answer:
Yes, he has enough ribbon to decorate the top of the box.
Step-by-step explanation:
From the above question, we are told that the volume of the box = 296cm³
Volume of the box = a³
296cm³ = a³
a = √296cm³
a = 6.6644437033cm
The side length of the box = 6.6644437033cm
The length of the ribbon = 24 1/4 inches
= 24.25 inches long.
Converting this to centimeters =
1 inch = 2.54cm
24.25 inches =
24.25 × 2.54 cm
= 61.595cm.
Length of the ribbon = 61.595cm.
Since from the above, we know the edges of the cube = square
Edge length of the box = 6.6644437033cm
The perimeter of a top of the box
= 4a
= 6.6644437033cm × 4
= 26.657774813 cm
Subtracting the perimeter of the top of the box from the length of the ribbon
61.595cm - 26.657774813 cm
= 34.937225187 cm ( ribbon left)
Therefore, he has enough ribbons left
Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)
Answer: 14
Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14
Answer:
14
Step-by-step explanation:
QR = 5 RS = 5 and ST = 5
If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.
Similar triangles vs con congruent explanation
Answer:
Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.
I am a multiple of 70. I am between 500 and 1000. My tens digit is odd. What number could I be?
Plz help also can you show the explanation too!
Answer:
Step-by-step explanation:
490 = 70 * 7
560 = 70 * 8
630 = 70 *9
700 = 70 * 10
770
840
910
You can fill in the other 3
So the number can be 630 770 or 910
Answer:
630, 770, 910
Step-by-step explanation:
They are multiples of 70 and the tens place number is odd 630, 770, 910
Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)
==========================================================
The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula
[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]
In short: add the corresponding coordinates, then divide by 2.
how to solve V1 T2 = V2 T1
V1 = 600mL T1 = 77.0 V2 = ? T2 = 86.0
Answer:
V2 = 670.129
Step-by-step explanation:
V1T2 = V2T1
Let V2 = y
600 x 86.0 = y x 77.0
51600 = 77y
77y/77 = 51600/77
y = 670.129
since y= V2
V2 = 670.129
what is 5000000 times 21113221
Answer:
1.0556611e+14
Step-by-step explanation:
1.05566105 + 14
Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?
What’s the answer for the problems 11-15 in the picture
Answer:
11.
A) EZ Pay Plan=0.15x
B) 40 to Go Plan=0.05x+40
12.
0.15x=0.05x+40
13.
x=400 minutes
14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.
15. EZ Pay Plan
Step-by-step explanation:
For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.
For 12, you have to find x for the minutes used.
For 13, if you do the process algebraically,
0.15x=0.05x+40
0.10x=40 (subtracted 0.05x from both sides)
x=400 (divided 0.10x and 40 by 0.10)
For 14, (no explanation)
For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.
(sorry for late response)
Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?
Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer: x=6.9
Step-by-step explanation:
In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.
65.37= 8.3x + 8.1 [subtract both sides by 8.1]
57.27=8.3x [divide both sides by 8.3]
x=6.9
Now, we know x=6.9.
Answer:
6.9
Step-by-step explanation:
4(2-4x)-3x=65 Whats the answer and how did you solve it?
Answer:
x= -3
Step-by-step explanation:
Distribute 4(2-4x) which leaves you with 8-16x-3x=65
combine the like terms which leaves you with 8-19x=65
subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57
lastly divide -19 from both sides which leaves you with x= -3
What is the value 4 x (-6.3)
Answer:
-252
Step-by-step explanation:
4 * -6.3
-252
Anytime you multiply a positive number to a negative number, it will always be negative.
Best of Luck!
Answer:
-252 is the correct answer to this question
The temperature falls from 0 degrees to -12.4 degrees in 3 hours. Which expression finds the change in temperature
per hour?
Answer: should be 4.13
Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on
Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP
Answer:
6
Step-by-step explanation:
40 - 21.40 = 18.6
18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend
3.6 divided by 0.58 = 6.20
so rounded, the answer should be 6 packages of skittles
Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour
Answer:5
Step-by-step explanation:
30 chapters in 6 hours. 30/6 =5
Solve the equation 3(m + 5) = 3 + 3(2m + 2) for m.
Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]
Expand:
[tex]3m+3\times5=3+3\times2m+3\times2[/tex]
[tex]3m+15=3+6m+6[/tex]
[tex]3m+15=6m+9[/tex]
Subtract 15 from both sides:
[tex]3m+15-15=6m+9-15[/tex]
[tex]3m=6m-6[/tex]
Subtract 6m from both sides:
[tex]3m-6m=6m-6-6m[/tex]
[tex]-3m=-6[/tex]
Divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{-6}{-3}[/tex]
[tex]m=2[/tex]
In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?
Answer:
Hi there!
Your answer is;
There are 50 bacteria after 3 hours
Step-by-step explanation:
After three hours, with a rate of 20% an hour, 60% should have died
20% of 125 is?
100% is 125
/100
1% is 1.25
×60
60% is 75
125-75= 50
Hope this helps
reflect (9, -3) across the y-axis. Then reflect the resukt across the x-axis. what are the coordinates to the final point
Answer:
(-9, 3)
Step-by-step explanation:
Reflect over y-axis: (-9, -3)
Then over x-axis: (-9, 3)
It takes 5 people 5 minutes to make 5 toys. How long would it take 100 people to make 100 toys?
Answer:
5 minutes
Step-by-step explanation:
5 people take 5 minutes to make 5 toys
1 person takes 25 minutes to make 5 toys
100 people take 0.25 minutes to make 5 toys
100 people take 0.05 minutes to make 1 toy
100 people take 5 minutes to make 100 toys
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Answer:
10.75 is the answer I think
The sum of ages of three brothers is 79. If James I’d half as old as Brandon and Marshall is 11 years younger then Brandon how old is the youngest brother?
Answer:
The youngest brother is James and his age is 18 Years.
Step wise explaination:
Lets suppose,
age of James = x
age of Brandon = 2x
age of Marshall = 2x - 11
The sum of ages of three brothers = 79
now,
finding the value of x,
x + 2x + 2x - 11 = 79
or, 5x - 11 = 79
or, 5x = 79 + 11
or, 5x = 90
or, x = 90
5
so, x = 18.
Then,
age of James = 18.
age of Brandon = 2×18 = 36.
age of Marshall = (2×18) - 11 = 25.
Therefore,
The youngest brother is James and his age is 18 Years.
Please mark me as Brainliest.Solve for the following variable.
Answer:
answers in the explanation.
Step-by-step explanation:
1. x=12
2 x=7
3.x=8
4.x=5
Divide8/9 and 8. Express your answer in simplest form
Answer: The answer is 0.11 in decimal form.
Step-by-step explanation: