Answer:
subtract 22 from both sides then multiply 3 to both sides
Step-by-step explanation:
F/3+22=17
-22. -22
F/3 = -5
x3. x3
F= -15
A rectangular garden is 20ft longer than it is wide. It’s area is 6300ft^2. What are its dimensions
Answer:
Length = 90 feet
Width = 70 feet
Step-by-step explanation:
The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:
[tex]A=lw[/tex]
The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:
[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]
Now that there are no longer two different variables, we can solve for w.
[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]
We are left with a trinomial so we'll use the quadratic formula to further solve for w.
[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]
Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.
Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.
Suppose you plan to take a survey of Math 146 students asked about their overall grades at CBC. 22 students were surveyed, and it was found that the average GPA of the 22 sampled students was a 3.2, with a standard deviation of 0.9 points. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 90% confidence interval for the true mean GPA of Math students, how many samples would be necessary to reduce the margin of error to 0.2 points?
Step-by-step explanation:
we have the data set given below here and using it, we want to find the sample mean X. Bar, the sample standard deviation S. And constructed 99% confidence interval for the population we knew, assuming the population is normally distributed. So since we have this data we can find expire and s using the appropriate definitions expire, is that some of the data divided by n 2.353 and s. Is the square root of the sum of deviations of the mean square divided by n minus one. In this case 1.3 Now with X. Bar and sample standard deviation S, we can use a student's t distribution to construct this confidence interval. So we can identify the appropriate T score. So for the degree of freedom and minus one equals 14 and critical values um providing probability 140.99 for the confidence interval, to identify T C equals 2.977 Now, with this T. C, we can identify the margin of error E, which is given by this formula plugging in our T C. S and N. We obtain E equals 0.572 And now plugging into our confidence interval formula, which is that new falls between a sample mean minus C, and sampling plus E gives us our confidence interval. That new is between 1.781 and 2.9 to 5 with 99% confidence.
Which expression is equivalent to the given expression?
5x – 2
A2 – 5x
B 2x – 2 + 3x
C 3 – 5 + 2x
D 5x — 2х
Answer:
I DON'T KNOW WHERE YOu belong because im in philippines
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
Solve for r.
4r–3r=20
r=
Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
A student's cost for last semester at her community college was 2800. She spent 448 of that on books. what percent of semester's college costs was sp books?
16%
Step-by-step explanation:
Percent can by calculated by part divided by whole multiplied by one hundred so (448/2800)*100=16
hi if you know 8th grd math pls help
Answer:
all correct except A.
Step-by-step explanation:
pls mark me brainly if u can
9) You want to buy a backpack which costs $34.82. Now it is on sale of 30% off. What is the
discount amount? What is the final cost with the discount?
Answer:
10.446
Step-by-step explanation:
Select the correct answer.
if g(x) =f(1/3x), which statement is true?
If
Answer:
The statement is true because local maximum exists at x =
Step-by-step explanation:
Answer:
if g(x) =f(1/3x), then both g(x) and f(1/3x) will be considered as same function.
Step-by-step explanation:
they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
Answer:
51200
Step-by-step explanation:
64000×80%=51200
[tex]\huge\mathfrak{question}[/tex]
they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
[tex] \huge \mathfrak step \: by \: step[/tex]
First we will look for how much 80% of 64,000 is.
Lets put our equation
[tex]64000 \times 80 \div 100[/tex]
solve it and we get
[tex]{{\boxed{{51200}}}}}[/tex]
as our answer
Each square below represents one whole …. What percent is represented by the shaded area?
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you
hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?
Answer:
Merry xmas bro
Step-by-step explanation:
fav nintendo game is the first mario
i need help on this math problem
Answer:
Natalie pays $9 every week.
d = 9w + 72
Step-by-step explanation:
find the sum of all the odd numbers between 51 and 99 inclusive
Answer:
1875
Step-by-step explanation:
John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK
Answer:
13=6 and no
Step-by-step explanation:
Answer:
The distance is 19 miles
Step-by-step explanation:
I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.
please help struggling a lot!
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.
Answer: 6
Step-by-step explanation:
Ok lemme actually format this set
[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]
Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just
[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]
which has cardinality [tex]\boxed{6}[/tex] .
Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?
Answer:
Your equation option is possibly in here somewhere.
Step-by-step explanation:
A = C - 2
B = A + 6 → A = B - 6
C - 2 = A = B - 6 → B = C + 4
44 = C + B + A
44 = C + (C + 4) + (C - 2)
44 = 3C + 2
42 = 3C
C = 7
Heeeeelllllllppppppp
1.
[tex]y=\frac{5}{3} x-2[/tex]
2.
[tex]y=-2x+2[/tex]
3.
[tex]y=x+5[/tex]
4.
[tex]y=\frac{1}{4}x[/tex]
Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible
please help with this
Answer:
2,4,6,
6,12,18
10,20,30
Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?
Answer:
Neither.
Step-by-step explanation:
Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].
In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].
Let's see what we get.
(1)
[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]
(2)
[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]
They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.
Also, you can graph these equations on desmos and see easily that they have none of these relationships.
use a calculator to find the square for 7.6
Answer:
Using a calcuator, [tex]7.6^{2} =57.76[/tex]
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
Shows me 57.76 well....Hope it helps!
Brainliest pls!
Follow me! ♧
Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?
paki sagot po kailangan na kasi..
thank you in advance ☺
1. 5
2.2
3.2,5
4.2,5
5.2
HOPE IT HELPS:)
PLS FOLLOW:)
#BRAINLIEST:)
If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?
A. 36
B. 300
C. 360
D. 420
Answer360
Step-by-step explanation:
what is the measure of x?
Answer:
Hello!
After reviewing the problem you have provided I have come up with the correct solution:
x= 9
Step-by-step explanation:
To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)
So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).
To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.
I then use this ratio to figure out the missing length of the larger triangle by doing:
6inches x 2.5 = 15inches.
I then inputed the 15inches into the formula of the missing side:
x+6=15
Subtracted 6 from both sides to simplify, and came up with the solution!
x=9
Let me know if this helps!
Can somebody answer this?
True
One from of the linear function is Y = mx + b where b is the y intercept.
The y intercept is where x is 0 so it would be at (0,6)
John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left
Assume that a set of test scores is normally distributed with a mean of 80 and a standard deviation of 10.
Use the 68-95-99.7 rule to find the following quantities.
a. The percentage of scores less than 80 is _%.
Answer:
I don't know
Step-by-step explanation: