Answer:
An equilateral triangle has all 3 sides the same length
If one side of the triangle has length x, the perimeter = 3x
If one side of the square is 5 less than a side of the triangle
then the square has side length x-5 and perimeter 4(x-5) = 4x-20
Since the perimeter of the triangle is 7 more than
the perimeter of the square then our equation is:
3x = 4x-20+7
3x = 4x-13
x = 13
The sides of the triangle are 13 inches
The sides of the square are 13-5=8 inches
An ice cream factory makes 140 quarts of ice cream in 2 hours. How many
quarts could be made in 48 hours? What was that rate per day?
Answer:
3360 quarts in 48 hours and also the rate per day is 1680 quarts
Step-by-step explanation:
5. A water tower casts a shadow of 20 ft at the same time that a
6 ft box casts a shadow of 2 ft. How tall is the water tower?
a. 144 ft b. 60 ft
c. 48 ft
d. 3/5 ft
Answer:
B. 60ft
Step-by-step explanation:
if a 6ft box casts a 2ft shadow, then the water towers height would be 3 times its shadow. 20 x 3 = 60ft
Mark is painting his house. He used 5 gallons of paint to cover 1,750
square feet and he used 7 gallons to cover 2,450 square feet.
How many square feet does each gallon of paint cover?
Answer:
350 square feet
Step-by-step explanation:
divide the square feet by the gallons of paint
Does anyone know the answer to this?
find the slope between two points with fractions
Answer:
m = 2/5
Step-by-step explanation:
If you look carefully you see that each new y value is obtained by adding 2/5 to the previous one. That 4/5 came from adding 2/5 to 2/5.
If we move from x = 0 to x = 1, y increases from 6/5 to 8/5.
Thus: the "run" is 1; the "rise" is 2/5.
Thus, the slope is m = rise / run = 2/5 divided by 1, or just m = 2/5
3.1 Area under the curve, Part II: Z~N(μ = 0,σ = 1). (round answers to 3 decimal places)
a) Find x so that P(Z ≤ x) = 68%
b) Find the data value x at the 47th percentile
c) Find the data value x at the 50th percentile
Please give answers for all three questions. Thank you!
Answer:
a.) 0.468
b.) -0.075
c.) 0
Step-by-step explanation:
Given the distribution :
Z~N(μ = 0,σ = 1)
Distribution = normal
Mean (μ) = 0
Standard deviation (σ) = 1
a) Find x so that P(Z ≤ x) = 68%
Using the z probability calculator : Zscore corresponding to 68% = 0.68 = 0.468
Usingbthe relation :
Zscore = (x - m) / σ
0.468 = (x - 0) / 1
0.468 = x - 0
x = 0.468
b) Find the data value x at the 47th percentile
47th percentile = Zscore of - 0.075
Zscore = (x - m) / σ
-0.075 = (x - 0) / 1
-0.075 = x - 0
x = -0.075
c) Find the data value x at the 50th percentile
50th percentile = Zscore of 0.0
Zscore = (x - m) / σ
0.0 = (x - 0) / 1
0.0 = x - 0
x = 0
Find a point-slope form for the line with slope 1/5 and passing through the point (-8, - 9).
The equation of the line in point-slope form is ______?
Answer:
y=1/5(x+8)-9
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1/5(x+8)-9
Answer:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).
We want to write the equation of this line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.
Pre-SolvingAs we are given both the slope and the point, we can plug those values into the equation.
Starting with the slope, we can replace m with 1/5.
[tex]y-y_1=\frac{1}{5} (x-x_1)[/tex]
Now, substitute -8 as [tex]x_1[/tex] and -9 as [tex]y_1[/tex]. We get:
[tex]y--9=\frac{1}{5} (x--8)[/tex]
This can be simplified to:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Ticket prices for Students ($3), Adults ($7), Children under 12 ($2) A School band performs a concert for a crowd of 600 people. The revenue for the concert is $3150. There are 150 more adults at the concert than students. How many of each type of ticket are sold?
Answer:
280 adult tickets
130 student tickets
190 children tickets
were sold at the concert
Step-by-step explanation:
Let the number of students be s , adults a and children c
Total 600;
Thus;
a + s + c = 600 •••••••(i)
let us look at revenue
Revenue = number * ticket price
For adults; a * 7 = $7a
For students ; s * $3 = $3s
For children; c * $2 = $2c
Total is 3150
thus;
7a + 3s + 2c = 3150 ••••••••(ii)
150 more adults than students;
a = s + 150 ••••••(iii)
Substitute iii into ii and i
into ii
7(s + 150) + 3s + 2c = 3150
7s + 1050 + 3s + 2c = 3150
9c + 3s = 3150-1050
9c + 3s = 2,100 •••••••(x)
Substitute into i
a + s + c = 600
s + 150 + s + c = 600
2s + c = 600 - 150
2s + c = 450
c = 450 - 2s ••••••(xx)
Now substitute xx into x
9(450-2s) + 3s = 2100
= 4050-18s + 3s = 2100
4050-2100 = 18s - 3s
15s = 1950
s = 1950/15
s = 130
c = 450 -2s
c = 450 - 2(130)
c = 450 - 260
c = 190
a = 150 + s
a = 150 + 130
a = 280
What is the equation in slope intercept form of the line below?
Answer:
y = -1/3x + 3
plz mark brainliest :DD
Pls helpppppp me, i will mark brainliest
Answer:
#1
Sorry if wrong!!
12 students play on the schools basketball team and 38 students play on the football team. what is the ratio of basketball players to football players?
Answer: 6:19
Step-by-step explanation:
Students playing basketball is 12
Students playing football is 38
12/38
Since 2 is a common factor of both 12 and 38. Therefore 12 and 38 are divisible by 2
6/19
6:19
Jonathan wants to buy his whole basketball team new clothes. He sees on Amazon that there is a sell for 11 shirts for $145.23. He also sees that Walmart has a sell for 23 shirts for $212.19. Which is the better buy and buy how much? Group of answer choices
Answer:
Walmart
Step-by-step explanation:
It is given that,
Jonathan wants to buy his whole basketball team new clothes.
On Amazon there is a sell for 11 shirts for $145.23
The cost of 1 shirt on amazon:
[tex]C=\dfrac{145.23}{11}=\$13.20[/tex]
On Walmart sell for 23 shirts for $212.19.
The cost of 1 shirt on Walmart:
[tex]C=\dfrac{212.19}{23}=\$9.225[/tex]
Cost of 1 shirt on Amazon is $13.20 and on Walmart is $9.225. It is clear that on Walmart it is better to buy for $9.225.
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can you hlp me please i choose you as brainlest
D. Ravinder’s art class went outdoors to draw sketches of the trees by the school park. The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
Step-by-step explanation:
12 x 15 = 180. 180 divided by 0.5 = 360. Thats the only answer I could get.
The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
A. 2.16
B. -15
C. 80
D. 2/3
Answer:
80
Step-by-step explanation:
I just took the test
what is 64x42?
bTw this is for my auNT sO plZ ansWEr thIS ;(
Answer:2688
Step-by-step explanation:
EMERGENCY! Please give me the correct answer!
Answer:
3^6
Step-by-step explanation:
Answer:
3-16 is your answer
please help me , it’s either suppose to be a fraction or decimal !
Answer:
165.43
Step-by-step explanation:
36.115/3.1=11.65
To check: 7.1*65=82.715
So...
14.2*11.65=165.43
X+y=4 , 2x+3y =6, find the value of x and y
• x+y = 4
• 2x+3y= 6.
To find :• x and y.
Solution:• x+ y = 4
=> x = 4 - y
put x in :
• 2x + 3y = 6
=> 2 (4-y)+3y = 6
=> 8 - 2y +3y = 6
=> y = 6 - 8
=> y = -2 .
Now, put y in x+y= 4.
=> x+(-2)= 4
=> x - 2 = 4
=> x = 4+2
=> x= 6.
Hence, the value of x is 6 and y is -2.
I hope it will help you.
Regards.
1/3+?=5
What is the "?"
Answer:
14/3 + 1/3 = 5
Step-by-step explanation:
Answer:
? = 4[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5 - [tex]\frac{1}{3}[/tex] = 4[tex]\frac{2}{3}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
5.) The temperature drops from 9 degrees F to -5 degrees. By how much
does the temperature drop?
Answer:
The temperature dropped 14 degrees.
Step-by-step explanation: x = 14
x + (-5)= 9
The absolute value (distance from zero) of -5 is 5.
The absolute value of 9 is 9.
To find the drop in temperature, add the absolute values of both numbers.
On a 2 mile stretch of road, there is a road sign every 1/4 of a mile. How many signs are there on the entire stretch?
Answer:
8 signs
Step-by-step explanation:
since there is one every 1/4, multiply that by 4 so it equals one mile. since there are 2 miles, multiply it by 2, then you get 8. I know this is the answer, I hope I helped you in time! :)
The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.
Answer:
3886.53 [tex]m^{2}[/tex]
Step-by-step explanation:
The running track consist of two semicircles and a rectangle.
So that;
Diameter of the semicircles = width of the rectangle = 73 m
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{73}{2}[/tex]
= 36.5 m
But the two semicircles form a circle, so that;
Circumference of a circle = 2[tex]\pi[/tex]r
Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5
= 229.43 m
Thus,
length of the running track = circumference of the circle formed + length of the two sides of the rectangle
= 229.43 + 84.39 + 84.39
= 398.21 m
The length of the running track is 398.21 m.
Therefore;
Area of the running track = length x width
= 398.21 x 9.76
= 3886.5296
The area of the running track is 3886.53 [tex]m^{2}[/tex].
Determine the quotient below
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{18}{7} \div \frac{9}{6} = \frac{18}{7} \times \frac{6}{9} = \frac{12}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
12/7
Step-by-step explanation:
1. Convert to improper fraction:
2*7+4=18/71*6+3=9/6 (simplifies to 3/2)2. Change sign and find reciprocal of second number
18/7*2/33. Multiply
18*2=367*3=214. Simplify
36 and 21 GCF = 3Divide num and dem by 312/7 is final answerThe points on a section of an exam is given by the function f (x) , where x is the number of questions answered correctly in that section. If f (12) = 18 , then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answer:
The answer is "12"
Step-by-step explanation:
Let f(x) be the function, where x specified in a certain section by the series of queries that have been addressed also as function.
[tex]\to f(12)=18[/tex] it implies, that even a test the person gets 18 points to packed up x queries. Its right series of issues were also:
[tex]\to f(x) = f(12)[/tex]
Therefore x = 12, The correct number of questions in the segment.
Please help due in 30 minutes
Answer:
There are 5 orders of watermelon for every 9 orders of french fries
Step-by-step explanation:
9:14 is french fries: total side dishes (including french fries)
So, the ratio of french fries to watermelon would be 9:5
determine weather the relation is a function (5, 4), (3, 10), (1, 16), (3, 8), (-1, 6)
Answer: Yes
Step-by-step explanation: All the X corrdiantes do not repeat, which that turns out to be a function.
I know this is probably easy but I really need help
I will give brainliest answer ;)
Answer:
parallel perpendicular
2 -2
4/7 -7/4
9/10 -10/9
-5/6 6/5
3 -3
-11 11
10/11 -11/10
7 -7
5 -5
-11/12 12/11
Solve -mk-110>75 for m
Show ur work
Answer:
[tex]m<-\frac{185}{k};\quad \:k>0[/tex]
Step-by-step explanation:
[tex]-mk-110>75\\\\\mathrm{Add\:}110\mathrm{\:to\:both\:sides}\\\\-mk-110+110>75+110\\\\Simplify\\\\-mk>185\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-mk\right)\left(-1\right)<185\left(-1\right)\\\\Simplify\\\\mk<-185\\\\\mathrm{Divide\:both\:sides\:by\:}k;\quad \:k>0\\\\\frac{mk}{k}<\frac{-185}{k};\quad \:k>0\\\\Simplify\\\\m<-\frac{185}{k};\quad \:k>0[/tex]
please help me quickly
Answer:
A,e,d,b
Step-by-step explanation:
I might not be right so check before.
