You can get 12 servings of 2/3 cup each from an 8-cup container of juice. You find this by dividing the total volume (8 cups) by the volume of each serving (2/3 cup).
Explanation:To find out how many 2/3 cup servings you can get from an 8-cup container of juice, you simply divide the total volume by the volume of each serving.
In this case, you divide 8 (the total volume) by 2/3 (the volume of each serving). Here are the step-by-step calculations:
Write 8 as a fraction, which becomes 8/1.Divide by 2/3, which in practice means multiplying 8/1 by the reciprocal of 2/3, which is 3/2.When you multiply 8/1 by 3/2, you get 24/2, which simplifies to 12.So, you can get 12 servings of 2/3 cup each from an 8-cup container of juice.
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what is the highest common factor of 12 and 16?
Answer:
4
Step-by-step explanation:
1) to find hcf, first look at what both 12 and 16 are divisible by
12 and 16 are divisible by 2
so
12/2=6
16/2=8
now we have 6,8
6 and 8 are divisible by 2 as well
6/2=3
8/2=4
3,4 is what we are left with
since we had to divide these numbers by 2 both times, multiply them.
2*2=4
4 is the hcf
A student has a container with a volume of 2.5 liters. He estimates the volume to be 2.6 liters. By what percent is the student's estimate off?
Answer: The student's estimate is off by
4%
What is the solution to 3x²+x+10=0
Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
What does y=x+2, y=2, x=4 mean
Step-by-step explanation:
Putting values of x and y
2 = 4 + 2
2 = 6
= 6-2
= 4
Please help what is the answer?
Answer:
The value of x is 42°.
Step-by-step explanation:
Given AB and BC are perpendicular lines which means that AB is 90° to BC. So in order to find the value of x, you have to substract 24° and 24° from 90° :
[tex]24° + x + 24° = 90°[/tex]
[tex]x = 90° - 24° - 24°[/tex]
[tex]x = 42°[/tex]
Darryl's working on another staircase. the volume of the staircase is 34 cubic feet. he poured 3 cubic feet of concrete into the lowest stair and 6 cubic feet into the middle stair. how much concrete does darryl need for the highest stair?
Answer:
25 cubic feet of concrete
Step-by-step explanation:
Given the information:
the volume of the staircase is 34 cubic3 cubic feet of concrete into the lowest stair6 cubic feet into the middle stair=>The volume of concrete darryl need for the highest stair is:
The volume of the staircase - the volume of the lowest stair - the volume of middle stair
= 34 - 3 - 6
= 25 cubic feet of concrete
Hope it will find you well.
Answer:
25Step-by-step explanation:
You already have 3 and 6 so we going to add that first ( 3+6)=9 So we have 9 and we are going to count on up until you hit 34 which will be 25 so your answer is 25Find the solution to the system of equations: x + 3y = 7
and 2x + 4y = 8
Answer:
Point Form:
( − 2 , 3 )
Equation Form:
x = − 2 , y = 3
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Answer:
x = -2, y = 3
Step-by-step explanation:
x + 3y = 7
2x + 4y = 8
Make the x term the same for both equations by multiplying the first equation by 2.
Now you have two equations with the same x terms.
2x + 6y = 14
2x + 4y = 8
Take the larger equation from the smaller to remove the x terms from the equations.
2x + 6y = 14
-
2x + 4y = 8
2y = 6
y = 3
Put the known y term back into the equations to find the y term
3(3) + x = 7
9 + x = 7, x = -2
12 + 2x = 8
2x = -4, x = -2
Enter the next three terms in the geometric sequence. Round to the nearest tenth value.
36, 54, 81, 121.5, ...
Answer:
The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)
Step-by-step explanation:
A geometric sequence is one in which successive members are multiples of a constant common ratio.
From the sequence, we can identify that;
First term a = 36
common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term
Hence, common difference d = 54/36 = 81/54 = 1.5
The next three terms of the sequence are the 5th, 6th and 7th term respectively.
For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3
For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5
For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3
The scale for the drawing of a rectangular playing field is 2 inches equals 7 feet. Find an equation you can use to find the dimensions of the actual field. What are the actual dimensions? length width 12 in. 6 in. Find an equation you can use to find the dimensions of the actual field. Use the equation yequals nothingx, where x is a dimension of the scale drawing (in inches) and y is the corresponding dimension of the actual field (in feet).
Answer:
Actual dimension of the field = 42 ft × 21 ft
Equation : [tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
Scale for the drawing of a rectangular playing field is,
2 inches = 7 feet
Or 1 inch = 3.5 feet
If length of the playing field on drawing = 12 in
Then actual length of the field = 12×3.5 = 42 feet
And width on the drawing = 6 inches
Therefore, actual width of the field = 6×3.5 = 21 feet
If 'x' is the dimension of a scale drawing and 'y' be the corresponding dimension of the actual field,
[tex]\frac{x}{y}=\frac{2}{7}[/tex]
[tex]y=\frac{7}{2}x[/tex]
The equation y - 7/2 = 1/2(x-4) is written in point-slope form. What is the y-intercept of the equation?
Ο -11/2
Ο -1/2
Ο 1/2
Ο 3/2
Answer:
[tex] y - \frac{7}{2}= \frac{1}{2} (x-4)[/tex]
[tex] y-\frac{7}{2}= \frac{1}{2}x - 2[/tex]
[tex] y = \frac{1}{2}x -2 + \frac{7}{2}[/tex]
[tex] y = \frac{1}{2}x + \frac{3}{2}[/tex]
[tex] y = mx +b[/tex]
Is given by:
Ο 3/2
Step-by-step explanation:
For this case we have the following function given:
[tex] y - \frac{7}{2}= \frac{1}{2} (x-4)[/tex]
If we distribute the 1/2 in the right we got:
[tex] y-\frac{7}{2}= \frac{1}{2}x - 2[/tex]
Now we can add on both sides 7/2 and we got:
[tex] y = \frac{1}{2}x -2 + \frac{7}{2}[/tex]
And simplifying we got:
[tex] y = \frac{1}{2}x + \frac{3}{2}[/tex]
And the answer for this case using the general formula:
[tex] y = mx +b[/tex]
Is given by:
Ο 3/2
A) 172
b) 192
C) 212
D) 232
Answer:
212
Step-by-step explanation:
volume of new figure = sum of the two individual figures
volume of one cuboid=l*b*h
volume of first cuboid=92
volume of second cuboid=120
sum of two figures=212
hope this helps
plzz mark me brainliest
Answer:
212 is the answer
Step-by-step explanation:
First to find the area of the first figure, you must use the formula for volume: length times width times height.
so: 23(2)(2) is equal to 92.
then for the second figure: 8(5)(3) is equal to 120.
now you add the two answers.
92+120=212
PLEASE HELP!!!!!!!!!!!! WILL GIVE CORRECT ANSWER BRAINLIEST!!!!!!!!!
the diagram below shows the rectangle LINT. Find the perimeter of the rectangle LINT. if entering your answer as a decimal, round your final answer to the nearest hundredth
(pls ignore the messy screen.)
Answer:Here
Step-by-step explanation:
Answer:
22.75
Step-by-step explanation:
what is the area of square HIJK
Answer:
The area is 36
Step-by-step explanation:
hope it helps :3
multiple the length x width
6x6=36
what is r if -4(r+3) = -42
Steps to solve:
-4(r + 3) = -42
~Distribute
(-4 * r) + (-4 * 3) = -42
~Simplify
-4r - 12 = -42
~Add 12 to both sides
-4r - 12 + 12 = -42 + 12
~Simplify
-4r = -30
~Divide -4 to both sides
-4r/-4 = -30/-4
~Simplify
r = 7.5
Best of Luck!
Answer:
7.5
Step-by-step explanation:
(-4) (7.5 + 3)= -42
Simplify the expression 3(x + 4)
Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is
1
5
5
1
start fraction, 1, divided by, 5, end fraction. The probability of Larry staining his shirt during the dinner is
1
5
%
15%15, percent.
Which of these events is more likely?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Harry stains his shirt during the dinner.
(Choice B)
B
Larry stains his shirt during the dinner.
(Choice C)
C
Neither. Both events are equally likely.
Answer:
A
Step-by-step explanation:
Answer:
Harry stains his shirt during the dinner.
Step-by-step explanation:
P (Harry stains his shirt during the dinner) [tex]=[/tex] [tex]\frac{1}{5}[/tex] [tex]= 0.2[/tex]
P (Larry stains his shirt during the dinner) [tex]= 15%[/tex]% [tex]= 0.15[/tex]
[tex]0.2 > 0.15[/tex]
It is more likely that Harry stains his shirt during the dinner.
Two students are playing a game with a quarter and a spinner that is
divided into equal sixths, with the sections numbered 1 to 6. Each player
tosses the coin and spins the spinner. How many outcomes are possible
for the toss and spin? *
Answer:12
Step-by-step explanation:
Given
A quarter and a spinner is played simultaneously so
A quarter can show two outcomes i.e. head and tail
While spinner can show 6 outcomes from 1 to 6
So there can be [tex]2\times 6=12[/tex] possible outcomes
(H,1),(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6)
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 4
Number of Green marbles = 7
Total Number of marbles = 5+4+7=16
We are given that three marbles are drawn out of the bag
Probability of getting 1 red marble on first draw=[tex]\frac{5}{16}[/tex]
Probability of getting 1 red marble on second draw= [tex]\frac{4}{15}[/tex]
Probability of getting 1 red marble on third draw=[tex]\frac{3}{14}[/tex]
So,the exact probability that all three marbles drawn will be red=[tex]\frac{5}{16} \times \frac{4}{15} \times \frac{3}{14}=\frac{1}{56}[/tex]
Hence The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
Final answer:
The exact probability of drawing three red marbles consecutively from a bag containing a mix of 16 marbles is 1 in 56, calculated by multiplying the probabilities of each draw without replacement.
Explanation:
The question asks for the exact probability that all three marbles drawn from a bag containing 5 red marbles, 4 blue marbles, and 7 green marbles will be red. To find this probability, we use the formula for conditional probability without replacement.
First, calculate the total number of marbles, which is 5 + 4 + 7 = 16 marbles. The probability of drawing a red marble first is 5 out of 16. Once a red marble is drawn, there are now 15 marbles left, and 4 of them are red. So, the probability of drawing a second red marble is 4 out of 15. Further, if a second red marble is drawn, there are now 14 marbles left, and 3 of them are red, making the probability of drawing a third red marble 3 out of 14.
The combined probability of all three events (drawing three red marbles in a row) happening is the product of their individual probabilities:
P(3 red marbles) = (5/16) * (4/15) * (3/14) = 60 / 3360 = 1/56
Therefore, the exact probability of drawing three red marbles in a row from the bag is 1 in 56.
Enter the decimal 1.54 as an improper fraction in simplest form.
Answer: 77/50
Step-by-step explanation:
Decimal: 1.54
Fraction: 77/50
Percentage: 154%
Please help me with this ASAP
Answer:
1/5
Step-by-step explanation:
We need to fill in the circles; on the left, we need to put the number of students who play an instrument. That information is given: it's 25.
In the middle, we need the number of students who both play an instrument and speak a foreign language: again, we know that's 16.
On the right, we need the number of students who speak a foreign language; that's 30.
Finally, there are 9 students who participate in neither of these activities, so place "9" outside the circles but still in the rectangle.
See the attachment.
Probability is basically (# times specific event can occur) / (# times general event will occur). Here, the specific event is getting a student who plays an instrument and speaks a foreign language, which is 16. The general event is just selecting a student; since there are 80 total students, that number would be 80.
Our probability is thus:
16 / 80 = 1/5
Answer:
16/41
Step-by-step explanation:
Outside both: 9
Intersection (both): 16
0nly "Play instrument": 25
Only "Speak Foreign language": 30
Total: 80
P(Language/Instrument)
= n(both)/n(Instrument)
= 16/(25+16)
= 16/41
Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cylinder, the base radius of the cone, and the radius of the sphere are equal.
The ratio of the height of the cone to the height of the cylinder is
Select one
3 to 1
2 to 1
1 to 1
3 to 1
2 to 1
1 to 1
The ratio of the height of the cone to radius of the sphere is
the base radius of the cone, and the radius of the sphere are equal.
the base radius of the cone, and the radius of the sphere are equal.
1 to 1
4 to 1
9 to 1
1 to 1
4 to 1
9 to 1
Answer:
The ratio of the height of the cone to the height of the cylinder is 3 to 1
The ratio of the height of the cone to the radius of the sphere is 4 to 1
Step-by-step explanation:
First we need to know the volume of a cylinder, a cone and a sphere:
V_cylinder = pi*r^2*h
V_cone = (1/3)*pi*r^2*h
V_sphere = (4/3)*pi*r^3
If they have the same volume:
The ratio of the height of the cone to the height of the cylinder is:
V_cone / V_cylinder = 1
(1/3)*pi*r^2*h1 / pi*r^2*h2 = 1
(1/3) * h1 = h2
h1 / h2 = 3
So the ratio is 3 to 1
The ratio of the height of the cone to the radius of the sphere is:
V_cone / V_sphere = 1
(1/3)*pi*r^2*h / (4/3)*pi*r^3 = 1
h / 4r = 1
h / r = 4
So the ratio is 4 to 1
What is the value of (5.3x10 to the power of 4)(4.2x10 to the power of 3) in scientific notation
Answer:
[tex] 2.226 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](5.3 \times {10}^{4} )(4.2 \times {10}^{3} ) \\ = 5.3 \times 4.2 \times {10}^{4 + 3} \\ = 22.26 \times {10}^{7} \\ = 2.226 \times {10}^{8} [/tex]
Answer:C
Step-by-step explanation:
Which function describes the arithmetic sequence shown?
3, 7, 11, 15,19 , 23....
Step-by-step explanation:
This sequence is by adding 4 you get the next number
Addition is the function
Which expression is equivalent to (8k - 6) - (5k + 4)
Answer:
3k -10
Step-by-step explanation:
8k - 6 -5k -4 = (8-5)k -(6+4) = 3k -10
The expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (8k - 6) - (5k + 4)
Simplify the expression, then the value of the expression will be
⇒ (8k - 6) - (5k + 4)
⇒ 8k - 6 - 5k - 4
⇒ 3k - 10
Then the expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.
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What is the equation of f(x)?
F(x)=8(4)
f(x)=–8(4)
F(x)=8 )
F(x)=-8 | 23
Answer:
Im not sure but I thinks its the first one
f(x)=8(4)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The face that is shared with the rectangular prism is __.
The area of each base of the rectangular prism is __ square units.
The lateral area (excluding the shared face) for the rectangular prism is __ square units.
The total surface area of the composite figure will be __ square units.
The total surface area of the composite figure will be 134 square units.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The dimensions of figure
Now,
The area of the shared face is already calculated as 20 square units. So, to find the total surface area, we subtract this from the sum of the surface areas:
TSA=(60+94)−20
TSA=154−20
TSA=134
Therefore, the area of the figure will be 134 square units.
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Answer: The face that is shared with the rectangular prism is
✔ 2(5)
.
The area of each base of the rectangular prism is
✔ 10
square units.
The lateral area (excluding the shared face) for the rectangular prism is
✔ 18
square units.
The total surface area of the composite figure will be
✔ 66
square units.
Step-by-step explanation:
Solve for x: x-19=2x+12 (Pls I really need this)
Answer:
x = -31
Step-by-step explanation:
x-19=2x+12
Subtract x from each side
x-x-19=2x-x+12
-19 = x+12
Subtract 12 from each side
-19-12=x+12-12
-31 =x
Simplify: 4x + 6(3x - 2)
Answer:
2 • (2x - 3) • (3x - 2)
Step-by-step explanation:
Answer:
4x + 6(3x -2)
First distribute
4x + 18x - 12
Combine like terms
22x - 12
Step-by-step explanation:
What is the range of the following data set?
13, 17, 18, 15, 12, 21, 10
Answer:
6
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Put the numbers in order from smallest to largest
10, 12,13, 15, 17, 18, 21,
The range is the largest number minus the smallest number
21-10
11
jeff rode his bike around the bike trail that was 1/2 of a mile long. he rode around the trail 9 times. how many miles did jeff ride?
Answer:
Jeff rode 4 1/2 miles
Step-by-step explanation:
a simple way to do this is divide 9 by 2 to get 4 1/2
Answer:
Step-by-step explanation:
If it is hard to multiply fractions, you can always convert it into decimal form.
1/2 is equivalent to 0.5
Since he went around the trail 9 times, you have to multiply 0.5 times 9 which equals 4.5.
That means Jeff rode 4 1/2 miles
Hope this helps!