Your backyard is 27 feet longer than it is wide. Its area is 9718 square feet. What is the width Set up and solve a quadratic equation.
Answer:
Width = 86 feet
Step-by-step explanation:
Create two equations with the info:
L = 27 + W
where L represents the length and W the width of the backyard.
The other one is about the area of the rectangular backyard:
Area = L x W
where you replace the area with 9718 and the length (L) with (27 + W):
[tex]Area= L\,*\,W\\9718=(W+27)\,W\\9718=W^2+27\,W\\W^2+27\,W-9718=0[/tex]
and solve for W using the quadratic equation:
[tex]W=\frac{-27+/-\sqrt{27^2-4(1)(-9718)} }{2\,(1)} \\W=\frac{-27+/-\sqrt{39601}}{2} \\W=\frac{-27+/- 199}{2}[/tex]
This gives us two solutions:
W = - 113
and W = 86
We use the positive solution since this is a distance.
Therefore the width is: 86 feet
4c-d for c please help!
Answer:
c=d/4
Step-by-step explanation:
we have to get c by itself...first we have to add d t the other side of the equation so
4c=d now since 4 is being multiplied by c we have to divide it out.
c=d/4
Suppose that the x-intercepts of the graph of y=f(x) are -9 and 3. What are the x intercepts of y= f(x+3)
Answer:
the anwser is 6
Step-by-step explanation:
Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.
therefore, just plug them in.
ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %
Answer:
First arrange the data in an order
3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21
a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7
Q2 = 2(16)/4 = 16/2 = 8th item = 12
Q3 = 3(16)/4 = 3(4) = 12th item = 17
IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5
b.) 82nd percentile = 82(16)/100 = 13th item = 17
c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%
Step-by-step explanation:
Ms. Terry's class is hosting a fundraising
challenge. The students in her class are
divided into 4 teams. Each team has an
equal number of students. Do you have
enough information to find how many
students are on each team? Explain.
In being able to find out whether it is possible to know the number of students on each team, there simply isn't enough information to do so.
In order to find out the number of students on each team, the following formula is necessary:
= Number of students in general / Number of teams
The number of teams is 4 so the denominator is present.
We however, do not have the number of students in general so we are unable to find out the number of students in each team.
In conclusion, we do not have enough information to find out the number of students in each team.
Find out more at https://brainly.com/question/15459630.
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
y7987
Step-by-step explanation:
Please help I will give Brainlyest
What is the constant of proportionality in the equation Y= ĝ?
0 0
colo
0 1
complete the missing number sequence.
1/4, 1/2,___, 1, 11/4
Answer:If the last number is 1¼ then the answer is ¾
Step-by-step explanation:
From one fraction to the other there is a difference of ¼
¼+¼=½
½+½=¾
¾+¼=1
1+¼=1¼
To identify the difference between the fractions you should get the LCM of the denominator which is 4 then you change all the fractions and make them have the same denominator
½ ,²/4 ,_ ,⁴/4 ,⁵/4
Then work with the numerator
1 , 2, _ ,4 , 5,
The dash is to be filled with 3
So your answer is ¾
What is the value of x
Answer:
x =68
Step-by-step explanation:
The sum of the angles of a triangle are 180
37+75+x = 180
Combine like terms
112+x = 180
Subtract 112 from each side
112+x-112=180-112
x =68
25x - 10y = -35
Helpppp
Answer: x = 1 y = 6
Step-by-step explanation: 25x1=25, -10x6= -60, 25-60=-35.
Have a great day!
For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.
What are the possible numbers of minutes she has used her phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly fee = $17
Additional fee per unit of use = $0.05
Least amount she's been charged in a month = $83.90
Equation to represent the number of minutes 'M':
monthly fee + (additional fee per minute × M) = $83.90
Possible number of minutes :
83.90 ≤ $17 + 0.05M
$17 + $0.05 × M = $83.90
$0.05*M = $83.90 - $17
$0.05*M = $66.90
M = $66.90 / 0.05
M = 1,338 minutes
What is 4 times of 2 1/2
Answer:
10
Step-by-step explanation:
Change the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
Multiply:
4 x 2.5 = 10
10 is your answer.
~
Find two consecutive integers whose product is 12.
Answer:
3 and 4
Step-by-step explanation:
The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4
Also, 3*4 = 12
Hope this helps!
You have a part-time job. You earn $7.75 per hour. If you work 20 hours
each week, what is your straight-time pay for each week?
A. $140
B. $145
C. $148
D. $150
E. $152
F. $155
Answer:
F. $155
Step-by-step explanation:
For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.
$7.75 * 20 = $155
Thus, your weekly pay will be $155.
Cheers.
Help ASAP plssssssssssssssssss
Answer:
18
Step-by-step explanation:
Factor Completely 4x^3 - 6x^2 + 16x - 24
Answer: 2(x+2i)(x-2i)(2x-3)
Step-by-step explanation:
Answer:
I got this answer.
Is it correct
Hi there! Can someone help with this?
Ali is baking cookies. She bakes 3 dozen sugar cookies, two dozen peanut butter cookies, and four dozen chocolate chip cookies. Ali gives away two dozen sugar cookies, 1.5 dozen peanut butter cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep?
Olivia needs $104 to buy the bike she wants. She saves $8 a week. Find the number of weeks it would take for Olivia to have enough money to buy the bike.
Answer:
13
Step-by-step explanation:
This is a division problem.
$104/$8 = 13
Answer: 13
Given f (x) = 2x + 1 , find x when f (2) = 9
A 4
B 19
C 13
D 9
Answer:
Step-by-step explanation:
2x + 1 = 9
2x = 8
x = 4
answer is A
Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
Answer:
80
Step-by-step explanation:
20 / 25 = 0.8 = 80%
Answer:
80%
Step-by-step explanation:
20/25 = 0.8 = 80%
36,700-(5,000+500m)=
-31200
5000 + 500 = 5500
5500- 36700 = -31200
Answer: 31, 200
Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200
(4k² + 8k +2) - (2k + 3)
а. 4k² + 6k + 5
b. 4k²+ 6k - 1
с. 4k²+ 10k +5
d. 4k²+ 6k + 1
Answer:
Step-by-step explanation:
4k^2 + 8k + 2 - 2k - 3
4k^2 + 6k - 1
answer is B
Answer:
[B] 4k²+ 6k - 1
Explanation:
(4k² + 8k + 2) - (2k + 3)
Remove Parenthesis
4k² + 8k + 2 - 2k + 3
-2k + 3: -2k - 3
= 4k² + 8k + 2 - 2k - 3
Simplify
4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1
= 4k²+ 6k - 1
- PNW
Lily and Layla are bakers and were having a contest to see who could bake more cupcakes in 8 hours. Lily can bake 7 cupcakes in 10 minutes. Layla can bake 8 cupcakes in 12 minutes. The next day, Lily sold LaTeX: \frac{2}{3}2 3 of her cupcakes at $1.29 each. Layla sold 75% of her cupcakes at $0.89 each. Who made more money?
Answer:
5.000 and dont say its wrong because whats the point of asking a question you already know?
Step-by-step explanation:
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?
Answer: $680
Step-by-step explanation:
divide 5346 divided by 29
Answer:
184.3448276
Step-by-step explanation:
5346/29
184.3448276
Answer:
594
Step-by-step explanation:
13/24 × 3 5/9 multtplying fraction help
Answer:
31/6
Step-by-step explanation:
Step 1:
13/24 × 3 5/9
Step 2:
13/24 × 32/9
Step 3:
62/12
Answer:
31/6
Hope This Helps :)
(6 - 9)(-2) = 6(-2) - 9(-2) Group of answer choices True False
Answer:
False
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION 2.5x - 3 = 2x - 2
I don't get what x is equal to
Answer:
2
Step-by-step explanation:
Use the property of equality :)
Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.
Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
12
14
36
38
Answer: 14
Step-by-step explanation: