Answer:
The width of the walkway is of 12.86 feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
A = lw
A rectangular garden has a width of 10 feet and a length of 14 feet.
So the area of the rectangular garden is of 10*14 = 140 square feet.
The area of the garden and the walkway together are 320 square feet.
So the area of the walkaway is of 320 - 140 = 180 square feet.
What is the width of the walkway
It has the same length of the garden, of 14. So
[tex]14w = 180[/tex]
[tex]w = \frac{180}{14}[/tex]
[tex]w = 12.86[/tex]
The width of the walkway is of 12.86 feet.
How do you write 246% as a fraction or mixed number?
Answer:
246/100 as a fraction, and 2 46/100 as a mixed number..
Step-by-step explanation:
Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
2 and 23/50
or as a simplified fraction 123/50
Step-by-step explanation:
Two publishers have offered Melanie Thompson a deal on her new
book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?
Answer:
Step-by-step explanation:
68000+6.75b>82000+5.5b. subtract 5.5b from both sides
68000+1.25b>82000. subtract 68000 from both sides
1.25b>14000. divide both sides by 1.25
b>11200
So she must sell more than 11500 books to make more with second publisher.
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
Which one doesn't belong? 100, 25, 36, 30
Answer:
Step-by-step explanation:
100 bro
A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.
9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that [tex]p = 0.18[/tex]
You randomly select 15 students
This means that [tex]n = 15[/tex]
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]
[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]
[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Find the slope of the line passing through the points (-7, 5) and (2,5).
Answer:
slope = 0
Step-by-step explanation:
Use formula to find the slope: m = (y2 - y1) / (x2 - x1)
Set (x1, y1) = (-7, 5)
Set (x2, y2) = (2, 5)
m = (5 - 5) / (2 - (-7))
m = (5 - 5) / (2 + 7) FYI, negative * negative = positive
m = 0 / 9
If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.
Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answer:
[tex]y =\frac{1}{2}x -4[/tex]
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]
Can anyone tell me if this is right? Multiple choice!
Answer:
yes its correct
Step-by-step explanation:
What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?
Answer:
undefined
Step-by-step explanation:
In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
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Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°
x² + 4 = 55
What is x
Answer:
7.1414284285
answer...
Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !
Answer:
It should be -3
Hope it helped i tried to help you ASAP
Step-by-step explanation:
please help i am really struggling . i really dont get it thanks :)
Answer:
I=P-A
___________________________
What is 13x + 21y - 14x - y simplified?
Answer:
-x + 20y
Step-by-step explanation:
trust me.. its right
Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
А. (-4,1)
B. (-3, -4)
C. (0, -3)
D. (0,1)
E. (5,-2)
alex, Brittany, Charles, David, Eric and Felicia are six students sitting around a round table. David is to the right of Alex and Brittany is to the left of Charles. Felicia and David are opposite of each kther, as are Brittany and Eric. Who is sitting to the left of Felicia?
Answer:
Charles
Step-by-step explanation:
Which property is used for the following expression (4x2) x 5 = 2 x (5 x 4) ?
three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
Answer:
i think the answer is 8
Step-by-step explanation:
Answer:(13, 3)
maybe
Hope it helps
Solving linear equations
Answer:
1. P = [tex]\frac{I}{rt}[/tex]
2. y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex] (depending on how you want the equation arranged)
3. c = [tex]\frac{a-bd}{b}[/tex]
4 t = [tex]\frac{A - p }{pr}[/tex]
Step-by-step explanation:
1. I =Prt for P:
I = Prt divide both sides by rt to isolate P
P = [tex]\frac{I}{rt}[/tex]
2. 3x + 11y = 6 for y
3x + 11y = 6 subtract 3x from both sides
11y = 6 - 3x divide both sides by 11
y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex] depending on how you want the equation arranged
3. a = b(c + d) for c
a = b(c + d) distribute b to (c+d)
a = bc + bd subtract bd from both sides
a - bd = bc divide both sides by b
c = [tex]\frac{a-bd}{b}[/tex]
4. A = p + prt for t
A = p + prt subtract p from both sides
A - p = prt divide both sides by pr
t = [tex]\frac{A - p }{pr}[/tex]
a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answer:
Step-by-step explanation:
Just give me the answer
Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?
Answer:
17250
Step-by-step explanation:
a typing question please help and make brainleist
Find the distance d (P1, P2) between the points P, and P2.
P1 = (-2,5); P2 = (4,0)
(P4, P2) - (Type an exact answer, using radicals as needed.)
Answer:
[tex]\sqrt{61}[/tex] units
Step-by-step explanation:
We are given that
[tex]P_1=(-2,5)[/tex]
[tex]P_2=(4,0)[/tex]
We have to find the distance d (P1, P2) between the points P, and P2
We know that
Distance between two points (x1,y1) and (x2,y2) i
=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{6^2+25}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{61}[/tex] units
Tonya drove 343 miles the first day of her trip. how many days will it take her to drive the remaining 1,200 miles if she continues at the same rate?
Answer:
3.5 days
Step-by-step explanation:
Given
[tex]Day\ 1 = 343\ miles[/tex]
Required
Number of days to drive 1200 miles
Represent as ratio:
[tex]Day\ 1 = 343\ miles[/tex]
[tex]Ratio = 1 : 343[/tex]
For 1200 miles
[tex]Ratio = x : 1200[/tex]
Equate both ratios
[tex]x : 1200 = 1 : 343[/tex]
Express as fractions
[tex]x/1200 = 1/343[/tex]
Multiply by 120
[tex]x/1200 *1200= 1/343*1200[/tex]
[tex]x= 3.4985[/tex]
[tex]x= 3.5[/tex] --- approximated
Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?
Answer:
48 cuts and styles
Step-by-step explanation:
Moshde needs to make 48 haircuts and style per month to save $1,200.
Moshde makes $45 per haircut and yet incurs $960 in expenses every month.
She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.
The formula to find out the number of cuts she needs to make is:
= (Monthly expenses + Desired profit) / Profit per cut
= (960 + 1,200) / 45
= 2,160 / 45
= 48 hair cuts and style
In conclusion, Moshde needs to make 48 haircuts per month.
Find out more at https://brainly.com/question/13400675.
Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.
Answer:
1260
Step-by-step explanation:
Tents: 15×54=810
Caravans: 25×18=450
450+810=1260
Answer:
$1260
Step-by-step explanation:
Campsite Fees:
Tent - $15 (per day)
Caravan - $25 (per day)
No. of Tents and Caravans today:
Tents - 54
Caravan - 18
Total fees for Tent = 15 x 54
= $810.
Total fees for Caravan = 25 x 18
= $450.
Fees altogether for Today = Total fees for Tent + Total fees for Caravan
= $810 + $450
= $1260
which point on the scatter plot represents the outlier ?
Answer:
The point that represents the outlier is “B”
Step-by-step explanation:
I know it because I just did it and got it right. Hope it helps!
Answer:
B
Step-by-step explanation:
I know because i got it correct
a baseball team wins 45% what fraction of the games do they win
Answer:
= 9/20
Step-by-step explanation:
45% = 45/100
= 0.45
= 0.45/1 × 100/100
= 45/100
= 9/20
WILL MARK BRAINLIEST!!!
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve