Answer:
the slope equals 2. otherwise known as the coefficient of x.
I need help with this problem, please.
Answer:
Area- 201.14
circumference- 50.3
I used 22/7 for pi = area
circumference- pi-3.14
Step-by-step
A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has
a uniform width, and the area covered by the garden and walkway is 192 square feet.
What is the width of the walkway?
O 3.5 feet
O 6 feet
O 2 feet
O 4 feet
Answer:
2 feet
Step-by-step explanation:
By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.
How to get the width of the walkway?
Remember that the area of a rectangle of length L and width W is:
A = L*W
In this case, we know that the dimensions are:
Length = 8ftWidth = 12ftNow, if we add a walkway of width x all around the garden, the new dimensions of the garden are:
Length = 8ft + 2xWidth = 12ft + 2xNow with these dimensions, the area is 192 ft^2, then we can write:
192 ft^2 = (8ft + 2x)*(12ft + 2x)
Now we need to solve that for x:
192 ft^2 = 96ft^2 + 4x^2 + 40ft*x
0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x
0 = 4x^2 + 40ft*x - 96ft^2
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]
Notice that we have two solutions, but we only care for the positive one, so we take:
x = (-40ft + 56ft)/8 = 2ft
So the width of the walkway must be 2ft.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
A seal has 1,500 nerve per whisker. That is 10 times as many as a rat has. How many nerve per whisker does a rat have?
Answer:
150
Step-by-step explanation:
1500 divided by 10
There are 150 nerve per whisker does a rat have.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A seal has 1,500 nerve per whisker.
That is 10 times as many as a rat has.
So, the number of nerve per whisker does a rat have
= 1500/ 10
= 150 nerve
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ7
A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school?
A. $75,750 C. -$13,950
B. $210,750 D. $239,250
Answer:
B
Step-by-step explanation:
Its 210,750 i took the quiz. You have to plug in 750 to all the x's.
What is the height of the token?
A.
B.
C.
D.
Answer:
c. 5cm
Step-by-step explanation:
25=½(3+7)*h
25*2=10*h
50/10=h
5cm =h
Angela rented a car for $29.99 a day plus a one-time insurance cost of $5.00. Her bill was $124.96. For how many days did she rent the car? Write an equation and then solve
Answer:
94 days
Step-by-step explanation:
That's a cheap rent-a-car place :)
Btw I took the test.
The sum of the measurement of angle M and angle R is 180 degrees
Answer:
5
Step-by-step explanation:
it is 5
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
Max is going to eat either a slice of pie, an apple, or drink a cup of cider for a snack. He is also going to buy pumpkin or a hat. How many different ways can max eat one snack or buy one item
Answer:
6 different ways
Step-by-step explanation:
pie, pumpkin
pie, hat
apple, pumpkin
apple, hat
cider, pumpkin
cider, hat
An ice cream cone has a radius is 3 cm and a height of 7.5 cm. Which amount is
closest to the volume of the ice cream cone?
F 71 cm
G 212 cm
H 141 cm
J 47 cm
A saleswoman earns 20% commision on all the merchandise that she sells. Last month she sold $900 worth of merchandise. How much commission (in dollars) did she earn last month?
Given:
Last month sales = $900
Rate of commission = 20%
To find:
How much commission (in dollars) did she earn last month?
Solution:
We have, 20% rate of commission. So, the commission for the last month is equal to 20% of last month sales $900.
[tex]\text{Commission}=\dfrac{20}{100}\times 900[/tex]
[tex]\text{Commission}=20\times 9[/tex]
[tex]\text{Commission}=180[/tex]
Therefore, the commission for the last month is $180.
Answer:
$60
Step-by-step explanation:
Identify the second quartile in the box-and-whiskers plot
The median of the data set is
(attached)
.
Answer:
The median is 58
Step-by-step explanation:
Answer:
The answer is 58
I need help what do I have to do plz if you don’t know the answer don’t write nothing thank you
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes
Answer:
She has 18 combinations to choose from
Step-by-step explanation:
The tree diagram is as follows
yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from
She has 3*3*2= 18 combinations to choose from
I really need to know the answer of this question
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
solve the quadratic equation
8x^2+16x+8=0
Answer:
8x²+16x+8=0
x²+2x+1=0
D=4-4=0
x0=-2/2=-1
Answer:
x = -1Step-by-step explanation:
[tex]8x^2+16x+8=0[/tex] {divide both sides by 8}
[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]
Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answer: 280 minutes
Step-by-step explanation:
Given
Expression is [tex]7\times (15+25)[/tex]
Apply distributive law i.e.
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]
Thus, theo dog took 280 minutes each week
Someone help me out please
Answer:
Coordinates are
(1,-5)
(-6,1)
bruno prepared a water dispenser with 8 liters of lemonade. he sells one-liter glasses for $4 each. the equation e = 4g can be used to determine the amount of money, e, he earns if he sells g glasses of lemonade. what is the domain and range that represents this situation?
What are the next three terms in the sequence 3, 6, 9, 12, ...?
Answer:
15, 18, 21
Step-by-step explanation:
Solve for the number problem 11
Answer:
1,000
Step-by-step explanation:
10x10x10 = 1,000
this lock has 1,000 possible combinations
find the circumference and the area of the circle with a diameter of 15ft
Answer:
Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?
Answer:
??? 208 ???
Step-by-step explanation:
Answer:
Answer:
208
Step-by-step explanation:
The general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base.
We’re doing similarity and I’m really confused
Answer:
Hello its ok Love!
I believe x = 2 hope this helps good luck!
Answer: 2 ft
Step-by-step explanation:
18 / 4.5 = 4
8 / 4 = 2
Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?
A 12%12%
B 22%22%
C 75%75%
D 88%
Answer:
Answer D 88%
Step-by-step explanation:
To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%
(っ◔◡◔)っ ♥ Hope It Helps ♥
A principal of a school with 484 students collected information about how many of the students wear glasses
Answer:
students
Step-by-step explanation:
you're missing a part?
there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC
Given:
Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].
To find:
The length of BC.
Solution:
Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.
Using Basic proportionality theorem, we get
[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]
[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]
On cross multiplication, we get
[tex]8\times EC=9\times 3.2[/tex]
[tex]EC=\dfrac{28.8}{8}[/tex]
[tex]EC=3.6[/tex]
Now,
[tex]BC=BE+EC[/tex]
[tex]BC=9+3.6[/tex]
[tex]BC=12.6[/tex]
Therefore, the length of side BC is 12.6 units.
The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.2
Kindergarten 17, 18, 19, 21, 20
Seventh 25, 30. 27, 29, 34
grade
29
2.4
Based on these data, which statement is true?
I think its option B) The average size of a seventh-grade class is larger and varies more than that of a Kindergarten-class.
it c. i think
Step-by-step explanation:
1. The range of guest on New Year's Eve was 15>
2. About 50% of Thanksgiving dinners had 17 or more people.
3. Everyone had at least one guest over for dinner at Thanksgiving.
4. The IQR of Thanksgiving dinner was 20.
5. The median number of people at New Years' Eve dinner was 15.
6. Three-fourths of New Years' Eve dinners had five or more people.
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
1.)
Range = maximum - minimum
New year's eve :
Maximum = 22 ; minimum = 3
Range = 22 - 3 = 19
2.)
Median for Thanksgiving = 17
50% up to 17 ;hence the remaining 50% is also 17 and above
4.)
IQR for Thanksgiving
Q3 - Q1
23 - 12 = 11
5.)
The median number of people at new year's eve for dinner was 7 (line in between the box)
6.)
3/4th of new year eve's dinner = Q3 = 15
1/4 = Q1 ; have up to 5 people
Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!