Answer:
The two beverages can be (iced tea,fruit juice) or (iced tea,soda).
Step-by-step explanation:
Given : Beverages iced tea [tex]\frac{3}{8}[/tex], fruit juice [tex]\frac{2}{8}[/tex], water [tex]\frac{1}{8}[/tex], soda [tex]\frac{2}{8}[/tex].
To find : Which two beverages have a sum of [tex]\frac{5}{8}[/tex] of the students votes ?
Solution :
We have to get the two beverages whose sum became [tex]\frac{5}{8}[/tex] .
The possible ways are
1) Iced tea + Fruit juice = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Fruit juice = [tex]\frac{5}{8}[/tex]
2) Iced tea + Soda = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Soda = [tex]\frac{5}{8}[/tex]
Therefore, the two beverages can be (iced tea,fruit juice) or (iced tea,soda).
und
circumference - 150 m
What is the measure of its radius?
Answer:
The radius is 75m
Answer:
[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]
Please help me! Pic included! will mark brainliest!
Answer:
B) Point G
Step-by-step explanation:
Because point G is equidistant to all of the angles, and cuts all of the sides in half
What is the first step in financial planning?
A.
maintaining a log of all your expenses
B.
understanding what you want
C.
preparing a balance sheet
D.
attaching a goal cost to every goal
E.
attaching a time frame to every goal
Reset Next
Answer:
I think E hope it can help
54 months = _____ years 5.4 years 4 years 4.5 years 5 years
Answer:
4.5
Step-by-step explanation:
54 divided by 12= 4.5
12 becuase there are 12 months in a year.
Answer:
4.5 i did the test on got it right
Step-by-step explanation:
What is 2.3375 rounded to the nearest dollar
Answer:
2.34
Step-by-step explanation:
Nope, it is 2.34 because you round it off and the 2 stays the same the three does to but the other 3 turns into a 4 because the number next to it which is a 7 is 5 and higher so that makes it 2.34 this would make sense from a mathematician even if my profile doesn't say it.
Answer:
The answer is $2
step-by-step explanation:
A 15-foot ladder leans against a wall and makes an angle of 65° with
the ground. What is the horizontal distance from the wall to the base
of the ladder, to the nearest tenth of a foot?
Check the picture below.
Make sure your calculator is in Degree mode.
The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.
Given that,
A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.
We have to determine,
What is the horizontal distance from the wall to the base of the ladder?
According to the question,
Let, the horizontal length be x,
The length of the hypotenuse is 15-foot.
And the angle is 65 degrees.
Then,
The horizontal distance from the wall to the base of the ladder is,
[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]
Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13710437
Find the area of the rectangle whose vertices have
coordinates (-2,-2), (3,-2), (3, 4) and (-2, 4).
Answer:
Area = 30 square units
Step-by-step explanation:
First, let's try to visualize the problem:
(-2, 4) • | • (3, 4)
|
|
___________|___________
|
(-2, -2) • | • (3, -2)
|
|
Let's find the side lengths;
(-2) - 3 = |-5|, the Base of the rectangle is 5 units.
4 - (-2) = 6, the Height of the rectangle is 6 units.
The formula for area of a rectangle is B × H.
5 × 6 = 30, so the area of the rectangle is 30 units.
ANSWER FAST!! BRAINLIEST AND 20 POINTS!! calculate the return on investment in dollars and as a percentage for an investment that you purchase for $500 and sell for $600
MARK BRAILIEST !!!
Answer:
10 percent
600 - 500 = 100
100 divided by .10 = 10 %
Step-by-step explanation:
⭐ Answered by Kash ʕ •㉨• ʔ⭐
⭐ Brainliest would be appreciated!⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Which set of steps will NOT get you to the point (112,4)?
A. Starting at the origin, go 112 units up and then 4 spaces to the right.
B. Starting at the origin, go 4 spaces up and then 112 spaces to the right.
C. Starting at the origin, go 112 spaces to the right and then 4 spaces up.
D. Put one finger halfway between 1 and 2 on the x-axis, and put another finger at the 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.
Option A and D will not get to the required point
Step-by-step explanation:
Step 1 :
a)
Start at origin, go 112 units up and then go 4 unit to the right.
Starting at the origin, 112 units up gives y = 112
then 4 spaces to the right gives x = 4
So the point obtained is (4,112)
Hence option A will not get to the required point
Step 2 :
b)
Starting at the origin, go 4 spaces up and then 112 spaces to the right.
Starting at the origin , 4 spaces up gives y = 4
112 spaces to the right gives x = 112
So we get the point as (112,4)
Option B goes to the required point
Step 3:
c)
Starting at the origin, go 112 spaces to the right and then 4 spaces up.
Starting at the origin, 112 spaces to the right gives x = 112
4 spaces up gives y = 4
We get to the point (112,4)
Hence option C gets to the required point
Step 4:
d)
Doing the procedure in option D gives y = 4, and x as between 1 and 2
Hence this will not get to the required point
Step 5 :
Option A and D will not get to the required point
Answer:
a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right
Step-by-step explanation:
no
15 POINTSSSS
HELLLLPPPPP I NEED HEELLLLPPPP
a right rectangular prism is made with 8 small cubes. Each cube has an edge length of 1/5 inch.
What is the volume in cubic inches?
Final answer:
The volume of a right rectangular prism made from 8 small cubes with an edge length of 1/5 inch each is 8/125 cubic inches.
Explanation:
The question asks for the volume of a right rectangular prism made up of 8 small cubes, with each cube having an edge length of 1/5 inch. To find the volume of the right rectangular prism, we must first understand the volume of a single cube, which is found by multiplying the length, width, and height of the cube. Since each side of a cube is equal, the volume of one cube is (1/5 inch) × (1/5 inch) × (1/5 inch), which equals 1/125 cubic inches.
Next, the volume of the entire prism, which consists of 8 such cubes, is calculated by multiplying the volume of one cube by 8. Therefore, the total volume of the prism is (1/125 cubic inches) × 8, which equals 8/125 cubic inches.
A container is in the shape of a cylinder with a hemisphere on the top. The cylinder has radius 5 cm and height 8 cm. The hemisphere has the same radius as the cylinder.
What is the total surface area of the container? Give your answer in cm2 correct to 3 significant figures.
The total surface area is given by:
The base of the cylinderThe lateral surface of the cylinderThe surface of the hemishpereThe base of the cylinder is a circle with radius 5cm, so its area is
[tex]A=\pi r^2=25\pi[/tex]
The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is
[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]
Finally, the surface of a sphere is given by
[tex]A=4\pi r^2[/tex]
so, half that surface will be
[tex]A=2\pi r^2=50\pi[/tex]
And the total surface area will be the sum of the three areas:
[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]
Answer:
Total surface area of the figure[tex]=486.7cm^2[/tex]
Step-by-step explanation:
Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere
[tex]r= 5cm\\\\h= 8cm[/tex]
Area of the cylinder with the side walls and the the bottom:
[tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]
[tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]
Area of the top hemisphere:
[tex]2*\pi *r^2[/tex]
[tex]=2*3.14*5*5[/tex]
Area of the top hemisphere= [tex]157 cm^2[/tex]
Total surface area of the figure [tex]= 329.7+157\\\\[/tex]
[tex]=486.7cm^2[/tex]
Ajar contains 30 red, 40 blue, and 50
white buttons. You pick one button
at random, find the probability that it
is blue.
Answer:
1/3
Step-by-step explanation:
so we are picking 40 blues from total number of buttons 120.
40 divided by 120 is 1 over 3.
is 419108 divisible by 4?
Answer:
419,108 is divisible by 4
Step-by-step explanation:
419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.
Answer:
yes
Step-by-step explanation:
At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.
This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.
01:5
The US Environmental Protection Agency issues a daily report for pollution levels called the
A. Pollution Advisory Warning
B. Air Rating Level
C. Particulates and Pollution Index
D. Air Quality Index
Please select the best answer from the choices provided.
O
A
OB
Answer:D
Step-by-step explanation:
The United States Environmental protection agency (EPA) issues the Air Quality Index (AQI) daily report to communicate to the public the quality of the surrounding air( clean or bad). It also forecast how the quality of air in the environment will be in the nearest future.
A mailbox on the street is 600 feet from the top of a building. From the mailbox looking up to the tops of that building and a second, taller building, the angle between the buildings is 67degrees. The tops of the buildings are 800 feet from each other. If the angle of elevation from the mailbox to the first building is 53 degrees and the taller building is 60 degrees, how tall is each building... Step by step explanation..Please..Thanks
Answer:
first building: 479.2 ftsecond building: 704.2 ftStep-by-step explanation:
Label the mailbox viewpoint, the top of the first building, and the top of the second building points M, A, and B, respectively.
Consider the triangle MAB. You are told length MA is 600 ft, and length AB is 800 ft. Side AB is opposite the 67° angle at M, so we can use the Law of Sines to find other measures of that triangle. Specifically, we want to know the distance MB.
sin(B)/MA = sin(M)/AB
sin(B) = (MA/AB)sin(M) = 600/800·sin(67°) ≈ 0.690379
B ≈ 43.66°
Then the angle at A is ...
180° -67° -43.66° = 69.34°
and the side MB can be found from ...
MB/sin(A) = AB/sin(M)
MB = (sin(A)/sin(M))AB = sin(69.34°)/sin(67°)·800 ≈ 813.2 . . . feet
__
Now, label points on the ground below A and B as A' and B'. This problem is asking for the heights AA' and BB'. Each of these is opposite the angle of elevation to points A and B, respectively, so can be found using the sine relation:
sin(elevation to A) = AA'/MA
AA' = MA·sin(elevation to A) = 600·sin(53°) ≈ 479.2 . . . ft
Similarly, ...
BB' = MB·sin(elevation to B) = 813.2·sin(60°) ≈ 704.2 . . . feet
The first building is 479.2 ft tall; the second is 704.2 ft tall.
A 1,000 gallon pool (no top) with a rectangular base will be constructed such that the length of the base is twice the width. Find the dimensions (length, width, and height) of the pool that minimize the amount of material needed to construct it.
Answer:
W = 4.646 ft
L = 9.292 ft
H = 3.097 ft
Step-by-step explanation:
Let's say the L is the length, W is the width, and H is the height.
The volume of the pool is:
V = LWH
The area of the pool is:
A = LW + 2LH + 2WH
L = 2W, so substituting:
V = (2W)WH
V = 2W²H
A = (2W)W + 2(2W)H + 2WH
A = 2W² + 4WH + 2WH
A = 2W² + 6WH
Solving for H in the first equation and substituting into the second:
H = V/(2W²)
A = 2W² + 3V/W
Find dA/dW and set to 0.
dA/dW = 4W − 3V/W²
0 = 4W − 3V/W²
4W = 3V/W²
4W³ = 3V
W = ∛(¾V)
V = 1000 gallons or 133.7 ft³.
W = ∛(¾(133.7 ft³))
W = 4.646 ft
So L = 9.292 ft and H = 3.097 ft.
What is the equivalent ratio for 5:6
Answer:
30:36
10 : 12
15 : 18
20 : 24
25 : 30
There are sooo many more but here are a few!
Hope this helped.
For questions 3 - 5, answer the questions about the equations.
3. How many solutions are there to this equation?
3(x - 4) + 5 - x= 2x-7
Answer:
infinite solutions
Step-by-step explanation:
Eliminate parentheses and collect terms:
3x -12 +5 -x = 2x -7
2x -7 = 2x -7
This is true for any value of x. There are an infinite number of solutions.
help please will give 30+ points
Answer:
I had this on my quiz hold on.. is is 48.
Step-by-step explanation:
each of five friends has X action figures in his or her collection. Each friend buys 11 more action figures. Now the five friends have a total of 120 action figures.write an equation that models this problem then solve
Answer:
Each friend has 13 actions
Step-by-step explanation:
Let x represent the actions of each friends
5friends will have 5x actions
And each friend has 11 more actions which means 5(11)=55
It means 5x+55
The total of their actions is 120
It can be written as 5x+55= 120
To solve
5x+55=120
Substrate 55 from both sides
5x=120-55
5x=65
X=65/5
x=13
Which each friend has 13 actions
Final answer:
To model the problem, the equation 5X + 5(11) = 120 is used. Solving this equation leads to finding that the original number of action figures each friend had is X = 13.
Explanation:
Initially, each of the five friends has X action figures in their collection. After purchasing 11 more action figures each, they collectively have a total of 120 action figures. To represent this problem, we can set up an equation where 5 times the original number of action figures per friend, plus 5 times 11 (because each friend buys 11 more), equals 120. Thus, the equation is:
5X + 5(11) = 120
To find the value of X, we need to solve the equation:
Multiply 5 times 11 to simplify the equation: 5X + 55 = 120
Subtract 55 from both sides of the equation: 5X = 120 - 55
Calculate the result on the right side: 5X = 65
Divide both sides by 5 to find X: X = 65 / 5
Thus, the original number of action figures each friend had is X = 13.
please helppppppppppppppppppppppppppppppp
Answer:
median : 73
mean : 71.5
mode : 68 and 85 (?)
range: 35
Step-by-step explanation:
50, 50, 68, 68, 68, 78, 78, 85, 85, 85
median: order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73
mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5
mode: the number that occurs the most,,theres two whoops 68 and 85
range: subtract the smallest number from the largest. 85 - 50 = 35
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.
Answer:
5 + 2 x 7 + 6
Step-by-step explanation:
Answer:
A: 7*(5-2)+6
explanation: it's really easy
Which of the following is a solution of x^2 + 5x = -2?
Answer:
x= -0.4385 or -4.5615
Step-by-step explanation:
x²+5x+2=0
Using almighty formula;
a=1, b=5, c=2
x = [ -b± √( b^2 - 4ac)]/2a
x= -5±√(25-8)/2
x=(-5±4.123)/2
Therefore x=(-5+4.123)/2 or (-5-4.123)/2
x= -0.4385 or -4.5615
The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]
To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]
Let's rearrange the equation to bring all terms to one side:
[tex]\[x^2 + 5x + 2 = 0\][/tex]
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]
In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]
[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]
So, the solutions are:
[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]
Thus, [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]
what is the area, in square centimeters, of the figure below?
show work please!!
Answer:
C
Step-by-step explanation:
Here it is: 5.8*2.4=13.92
Answer:
6.96
Step-by-step explanation:
2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.
when a curve and a line meet at a point, are their gradient equal?
Check the picture below.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.
You are adding 6[tex]\frac{3}{4}[/tex] + 3[tex]\frac{2}{3}[/tex] using fraction strips. Explain how you rename the fraction part of the sum.
Answer:
10 5/12
Fraction part: 5/12
Step-by-step explanation:
6¾ + 3⅔
6 + 3 + ¾ + ⅔
9 + [3(3) + 4(2)]/12 12 is the LCM
9 + (9+8)/12
9 + 17/12
9 + (12+5)/12
9 + 1 + 5/12
10 5/12
Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line
Question:
Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answer:
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
Solution:
Length of the paper = 2 m
Width of the paper = [tex]1\frac{1}{4}[/tex] m = [tex]\frac{5}{4}[/tex] m
Area of the rectangle = length × width
[tex]$=2\times \frac{5}{4}[/tex]
[tex]$= \frac{5}{2} \ m^2[/tex]
Diagonal of a rectangle divides it into two equal parts.
Area of each piece = Area of the rectangle ÷ 2
[tex]$=\frac{ \frac{5}{2}}{2}[/tex]
[tex]$=\frac{5}{4} \ m^2[/tex]
[tex]$=1 \frac{1}{4} \ m^2[/tex]
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
What is the GCF of -16y4+12y^2-4y?
Answer:
4y
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Hope this helps!!! Brainliest is appreciated.
Answer:
In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,
Step-by-step explanation:
Archaeologists want to determine the probability of a certain number of students finding a fossil during an expedition.
The probability of an individual finding a fossil is 22%. What determines the number of successful trials in this study?
the probability of an individual finding a fossil
the probability of an individual not finding a fossil
the number of individuals surveyed who found a fossil
the number of individuals whom the archaeologists surveys
Step-by-step explanation:
twice a number divide by 6 is 42
Answer: 126
Step-by-step explanation: 42 times 6 equals 252, 252 divided by 2 equals 126