Missing information:
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Options:
(a) [tex]\pi * 3^2 * 15[/tex] (b) [tex]\pi * 3* 15^2[/tex]
(c) 15 times the volume of the disk
(d) The height of the stack multiplied by [tex]\pi r^2[/tex]
Answer:
(b) [tex]\pi * 3* 15^2[/tex]
Step-by-step explanation:
Given
15 identical disks
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Required
Determine the odd option
The volume of 1 disk is:
[tex]V_1 = \pi r^2h[/tex]
[tex]V_1 = \pi * 3^2 * 1[/tex]
The volume of 15 is:
[tex]V_{15} = 15 * V_1[/tex]
[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]
[tex]V_{15} = \pi * 3^2 * 15[/tex]
The above equation represents (a), (c) and (d)
Because:
(a): [tex]V_{15} = \pi * 3^2 * 15[/tex]
(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
Hence, (b) is the odd option
the difference of two numbers is 8. their sum is 17. find the two numbers?
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Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
PLEASE HELP ME!!!!!!!!!!!!
Rosa is selling juice and cookies for a fundraiser. She earns $2 for every cookie and $3 for every bottle of juice. She wants to earn at least $24 from all the sales. Let x represent the number of cookies sold and y represent the number of bottles of juice sold. What does the slope of this inequality represent? 2x + 3y ≥ 24
Answer:
The slope is 2. It represents the price of the cookies.
Step-by-step explanation:
The slope is 2 because its in frount of the x and 2 is the price of the cookies.
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
Robert nixes yellow and blue paint in the ratio of three to two if he used 12 gallons of yellow paint how many gallons of blue paint would he use
Answer: 8 gallons of blue
Step-by-step explanation:
Robert mixes the paint in the ratio:
= 3 yellow : 2 blue
If there are 12 yellow used then direct proportion can be used:
3 : 2
12 : x
Cross-multiplying will give:
3x = 24
x = 24 / 3
= 8 gallons of blue
Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16
Answer:
2. -16
6. 23
7. -40
8. -17
9. 41
10. -58
Tell whether the ordered pair is a solution of the system of equations. Y=3x-3 Y=-x+5 (3,6)
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Answer:
not a solution
Step-by-step explanation:
The given pair does not satisfy the second equation.
y = -x + 5
6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)
The ordered pair is not a solution to the system of equations.
Justin wants to place one of his 4 signed hockey sticks on his shelf. The length of the shelf is exactly 1.05 meters. His 4 hockey sticks and their lengths are shown below.
Answer:
Stick 2
Step-by-step explanation:
Given
[tex]L = 1.05m[/tex] --- Shelf length
Missing information from the question are:
[tex]Stick\ 1 = 1.4m[/tex]
[tex]Stick\ 2 = 1.041m[/tex]
[tex]Stick\ 3 = 1.14m[/tex]
[tex]Stick\ 4 = 1.104m[/tex]
See attachment
Required
Which stick best fits the shelf?
The following observations are to be noted:
The length of stick 1 of 1.4m is greater than the length of the shelfThe length of stick 3 of 1.14m is greater than the length of the shelfThe length of stick 4 of 1.104m is greater than the length of the shelfOnly stick 2 (of length 1.041m) has a smaller length when compared to the length of the shelf.
Hence, Justin should choose stick 2
There are 120 counters in a bag.
40% of the counters are red.
3/8 of the counters are yellow.
The rest of the counters are green.
Find what fraction of the counters are green.
Answer:
9/40
Step-by-step explanation:
120 × ⅖ = 48
120 × ⅜ = 45
120 - 93 = 27
27/120 = 9/40
Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.
Number of Green countersYou can find the number of green counters by:
= Number of counters - Red counters - Yellow counters
= 120 - (120 x 40%) - (120 x 3/8)
= 120 - 48 - 45
= 27 green counters
Fraction of green counters= Number of green counters / Total number of counters
= 27 / 120
To take it to the lowest term, divide both numbers by 3:
= 9 / 40
In conclusion, the fraction is 9 / 40.
Find out more about fractions at https://brainly.com/question/17743912.
Okay lets get one thing straight Tsukki is not a nerd he is shmexy ! And Kyo is not just "okay" he is mega hot!
Answer:
Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.
Factor completely
x^2 - 8x + 16
Answer:
(x - 4)^2
Step-by-step explanation:
Find the value of x.
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.
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Answer:
24 cm²
Step-by-step explanation:
When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.
A = (1/2)(d1)(d2)
A = (1/2)(6 cm)(8 cm) = 24 cm²
The area of the kite is 24 square centimeters.
Question Progress
Solve the inequality 5y + 4 < 3y + 17
Answer:
y < [tex]\frac{13}{2}[/tex]
Step-by-step explanation:
Given
5y + 4 < 3y + 17 ( subtract 3y from both sides )
2y + 4 < 17 ( subtract 4 from both sides )
2y < 13 ( divide both sides by 2 )
y < [tex]\frac{13}{2}[/tex]
Answer:
y < 13/2
Step-by-step explanation:
Drag numbers to show which are closest to ‐1 and ‐14 on the number line.
A number line from negative 1 to 1 in fourths.
Closest to ‐1
Closest to ‐14
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
How to Interpret Number Lines?
A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
Read more about Number Lines at; https://brainly.com/question/4727909
#SPJ1
What is the height and area of the polygon?
Answer:
Below in bold.
Step-by-step explanation:
If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.
Height of this triangle = sqrt(5^2 - 3^2) = 4.
This is also the height of the polygon.
The polygon is a trapezium so:
Area of the polygon = 1/2(5 + 8) * 4
= 6/5 * 4
= 26 m^2.
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each one of them get?
Step-by-step explanation:
64/(1+1+2)
= 64/4
= 16
1 : 1 : 2
mark = 1×16 = 16
dave = 1×16 = 16
ralph = 2×16 = 32
Step-by-step explanation:
hope it helps
please rate
-3 + 4g = 7g. Solve for g.
Answer:
g=-1
Step-by-step explanation:
-3 + 4g= 7g
-4g. -4g
g=-1
Select all expressions that are equivalent to 5x + (x+6) +3x.
A.8x+6
B.6x+6+3x4
C.5x+6+ 3x
D.9x+6
HURRY PLZ
Answer:
The correct answer is 9x+6.
Step-by-step explanation:
The equivalent expression to the given expression is 9x+6.
The given expression is:
5x + (x+6) +3x.
What is an expression?An expression is a set of terms combined by mathematical operations.
5x + (x+6) +3x
=5x+x+3x+6
=9x+6
So, equivalent expression is 9x+6.
Thus, the equivalent expression to the given expression is 9x+6.
To get more about expressions visit:
https://brainly.com/question/945593
35= h(b1+b2) solve for b2
Answer: look at the picture and I don’t know how to solve for b but I can do h
Step-by-step explanation: hope this help :)
Answer:
i dont know
Step-by-step explanation:
i dont know
Jana has $10. She wants to buy a bottle of nail polish for $9.50. The sales tax is 7%. Does she have enough money?
Answer:no, she would be 17 cents short
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
Compute the tax =
9.50 * 7% = 9.5 * .07 or 66.5 cents.
Since she only has $10, she does not have enough money.
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
A 2-year loan of $500 is made with 4% simple interest.Find the interest earned
Answer:
$40
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 500(.04)(2)
Based on the information given the interest earned is $40.
Using this formula
Interest =Principal× Rate× Time
Where:
Time =2 year
Principal=$500
Rate=4% or 0.04
Let plug in the formula
Interest=500(0.04)(2)
Interest=$40
Inconclusion the interest earned is $40.
Learn more here:https://brainly.com/question/20981855
(-4z+1) (5z-2)=
solution plz.
Answer:
-20z² + 13z - 2.
Step-by-step explanation:
hello !
you use the F.O.I.L method to multiply these two. first, you multiply the first terms, which are:
(-4z)(5z) = -20z²
then, the outside terms, which are:
(-4z)(-2) = 8z
then, the inside terms, which are:
(1)(5z) = 5z
then, lastly, the last terms, which are:
(1)(-2) = -2
Therefore, we get:
-20z² + 8z + 5z - 2.
combine like terms, and the answer is:
-20z² + 13z - 2.
What errors did her coach make in the following example
Answer:
its the last one & the 3rd one.
hope that helps
Help will give crown Find the missing side length
Answer:
11cm
Step-by-step explanation:
8.please help this is timed !!!
Answer:
X=4
Step-by-step explanation:
x+y=6
(+)x-y=2 (Add to get rid of y's)
2x=8
2x/2=8/2
x=4
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation:
