Answer:h = y^2 / 27
Step-by-step explanation:
Volume of a cylinder = pi*(xx)^2*yy
= x^4*pi*yy
Volume of a cone = 1/3*pi*(9x^2)^2*h
= 27pi*x^4*h
x^4*pi*y^2 = 27pi*x^4*h
h = y^2 / 27
Answer:
4 inches
Step-by-step explanation:
The volume of the cylinder is:
V = π r² h
V = π (2)² (3)
V = 12π
The cone has the same volume, so its height is:
V = ⅓ π r² h
12π = ⅓ π (3)² h
12π = 3π h
h = 4
The height of the cone is 4 inches.
11. Find the values of x and y.
(1 pc
(14y+30)°
(3x)0
156°
x=8, y = 9
x = 10, y = 9
x = 8, y = 10
Answer:
Reasoning and Proof Unit Test
Step-by-step explanation:
1. 67
2. counterexample
3. If you join the gym, then it is free for the first three months.
Hypothesis: you join the gym
Conclusion: it is free for the first three months
4. Yes; two lines intersect at right angles if (and only if) they are perpendicular
5. An angle is obtuse if and only if its measure is greater than 180
6. Symmetric Property
7. 12
8. RT-ST
9. x=8, y=9
10. 7
11. Symmetric Property
12. invalid
13. A. is Substitution Property of Equality, B. is Supplementary Angles, C. is Subtraction Property of Equality
14. (A) 180, (B) 180, (C) transitive property, (D) 3, (E) 3
15. The value of x is 3.
a) Addition of line segments
b) Substitution rule
c) Simplification by addition of like terms
d) Collecting lie terms
e) Dividing both sides by 8
AB = 2x
BC = 6x + 8
AC = 32
AB + BC = AC (Addition rule)
Addition of the component segments of a line
2x + 6x + 8 = 32 (Substitution rule)
Substituting for AB, BC, and AC in the equation AB + BC = AC
8x + 8 = 32 (Simplification)
Simplifying 2x + 6x + 8 = 32 by adding like terms
8x = 24 (Collecting like terms)
8x = 32 - 8
8x = 24
x = 3 (Divide both sides by 8)
8x / 8 = 24/8
x = 3
16. If it is square it is a Quadrilateral.
17. 7y = 8x - 14
7(6) = 8x - 14
Collect like terms.
42 = 8x - 14.
8x = 42 + 14
8x = 56
x = 56/8
x = 7
These are all the correct answers as of 2022
What is BC ? Enter your answer in the box.
Units An isosceles triangle A B C. Side B C is the base. Sides A B and A C are equal. Sides A B and A C are labeled with single tick marks. Side A B is labeled as 4 x plus 1, side A C is labeled as 2 x plus 23, and side B C is labeled as 3 x minus 8.
Answer:
BC=25
Step-by-step explanation:
The provided data in the figure is different from the written text. We'll use the set of conditions in the figure
We know the triangle is isosceles, so the sides AC and AB are equal, i.e.
4x+4=6x-14
Operating
4+14=6x-4x
x=18/2=9
Knowing that x=9, then
BC=2x+7=18+7=25
Note: If we used the data provided in the text, the answers would be
x=11, BC=25
Answer:25
Step-by-step explanation:
i did the test lol
1092 flowers are arranged into 26 vases with the same number of flowers in each vase. How many flowers would be needed to fill 130 such vases?
Answer:
5460
Step-by-step explanation:
14. Solve: 3x² + 5x – 12 = 0
B. 4-3
C. 8, - 18
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
The value of the expression 4 square root of 81^3 is ______.
Choices:
9
27
350
1.4
2.3
Answer:27
Step-by-step explanation:
32. Which value of x will make the equation below true?
3x = 243
A). 3
B). 5
C). 8
D). 9
At a high school with 300 students, 32 play soccer, 18 play basketball, and 10 play both sports. If a student is selected at random, find the probability that a student plays soccer or basketball.
Answer:
P(student plays both soccer or basketball)= 40/300
Simplify : 2/15
In a group of 300 students, 18 students play basketball, 11 students play football. 10 students play both sports.
Now, A student is chosen randomly from this group.
What is the probability that the student plays both soccer or basketball?
Probability of any event=no. of favorable outcomes/total no. of outcomes
Here, no. of favorable outcomes
=no. of students who plays both soccer or basketball
= 32+18-10
= 40
and, total no. of outcomes= 300
If a student is selected at random, the probability that a student plays soccer or basketball is [tex]\frac{2}{15}[/tex]
To start, we list the variables given
32 ----- Soccer
18 ---- Basketball
10 ----- Basketball + Soccer
If you look at the question, it was stated that 10 people plays basketball and soccer. The keyword being "and". While we are asked to find the probability that a student plays basketball or soccer. This then means that we add the number of people playing basketball together with those playing soccer.
32 + 18 = 40.
Probability of a student playing soccer or basketball is then 40/300 = 2/15
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Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.
What is the percent error?
Round your answer to the nearest whole percent.
Answer:
20%
Step-by-step explanation:
% of error is given by the following formula:
% Error = [tex]\frac{|\textrm {Approx Value - Exact Value}|}{\textrm {Exact Value}} \times 100[/tex]
Now, Jessie estimated the weight of his cat to be 12 pounds i.e. Approximate value is 12 pounds.
Again, The actual weight of the cat is 15 pounds i.e. the exact value is 15 pounds.
Therefore, the % error = [tex]\frac{|12 - 15|}{15} \times 100 = \frac{3}{15} \times 100 = 20[/tex]% (Answer)
Answer:
20%
Step-by-step explanation:
Jessie thinks to greatly of his cat
and I took the test
The diagram below shows the construction of a line through point T perpendicular to line 1
This construction demonstrates that the set of points equidistant from the endpoints of a line segment
is the perpendicular
of the segment.
Which of the following words is the most appropriate to fill in the blank?
A. Bisector
B. Line
C. Slope
D. Transversal
Answer:
A
Step-by-step explanation:
When we read your example. we can see that we have not diagram, but we have text and we can conclude what is that tell.
This construction demonstrates that the set of points equidistant from the endpoints of a line segment
is the perpendicular
of the segment.- this text tells us that it is bisector
Answer:
a
Step-by-step explanation:
if 2 is the square root of four what is the squre root of 81
What is the domain of the composite function W(x) = f(g(x)) when f(x) =5/(x-1) and g(x) =4/(3x-2) ?
Eric wants to buy a video game that cost $24 but he only wants to spend 40% of your savings. How much must Eric saying in order to buy the game
Answer:
$14.4
Step-by-step explanation:
I don't really understand the question, but this is what I think it is
Eric needs to have $60 in savings if he wants to spend only 40% of it on a $24 video game.
Explanation:To determine how much Eric must have in savings to spend only 40% on a $24 video game, we set up a simple equation where 40% of his total savings (S) equals the price of the game ($24). The equation is 0.40 × S = $24. Solving this equation for S (total savings), we divide both sides by 0.40:
× S = $24
÷ 0.40 ÷ 0.40
S = $24 ÷ 0.40
S = $60
Therefore, Eric must have a total of $60 in savings to spend only 40% on the video game.
whats the unit rate of 122 and 4?
Answer: 30.5
Step-by-step explanation:
30.5 times 4 equals 122
Find the value of x to the nearest tenth.
tan 34° = 20
Answer:
The value of x = 13.5.
Step-by-step explanation:
In this question x is missing.
So, the question would be:
tan 34° = x/20.
Now, to find the value of [tex]x[/tex]:
[tex]tan 34 = \frac{x}{20}[/tex]
[tex]\frac{x}{20} = tan 34[/tex]
Multiplying both sides by 20 we get:
[tex]x=tan 34\times 20[/tex]
On simplifying both sides we get:
[tex]x=13.49[/tex]
So, to get the value of [tex]x=13.49[/tex] to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.
Therefore, the value of x = 13.5.
Answer:13.5
Step-by-step explanation:
Study the steps used to solve the equation. Given: c/2-5=7 Step 1: c/2-5+5=7+5 Step 2: c/2+0=12 Step 3: c/2=12 Step 4: 2 (c/2)=12(2) Step 5: c=24 Choose the property that justifies each step of the solution.
Answer:
step 1: addition property of equality
step 2: additive inverses
step 3: additive identity
step 4: multiplication property of equality
Step-by-step explanation:
edg 2020
Answer:
step 1: addition property of equality
step 2: additive inverses
step 3: additive identity
step 4: multiplication property of equality
Step-by-step explanation:
Suppose a,b,and c are all negative numbers how do you find the distance between points (a,b) and (a,c)?
Answer:
Distance = |b - c|
Step-by-step explanation:
Suppose a, b, and c are all negative numbers.
We have to describe the way to find the distance between points (a,b) and (a.c).
Since the x-coordinates of the two points are the same and are a, therefore, the distance between the y-coordinates of the two points will give the distance between the two points.
Mathematically the distance d will be given by d = |b - c|, where |x| is the absolute value function of x. (Answer)
(Score for Question 3:_ of 16 points)
3. Mr. Sanchez's class sold fruit pies for $1.55 each and Mr. Kelly's class sold bottles of fruit juice for $1.40
each. Together, the classes sold 60 items and earned $88.20 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) Which class earned more money?
(c) How much more money did that class earn?
Answer:
Answer:
a) Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
b) Mr. Kelly's class
c) Mr. Kelly's classs earned $1.40 more than Mr. Sanchez's class.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
a) You get the system of two equations:
[tex]\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.[/tex]
From the first equation:
[tex]x=60-y[/tex]
Substitute it into the second equation:
[tex]1.55(60-y)+1.4y=88.2\\ \\155(60-y)+140y=8,820\\ \\9,300-155y+140y=8,820\\ \\-15y=8,820-9,300\\ \\-15y=-480\\ \\15y=480\\ \\y=32\\ \\x=60-32=28[/tex]
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
b) Mr. Sanchez's calss earned:
[tex]\$1.55\cdot 28=\$43.40[/tex]
Mr. Kellyz's calss earned:
[tex]\$1.40\cdot 32=\$44.80[/tex]
Since [tex]\$44.80>\$43.40,[/tex] Mr. Kelly's class earned more.
c) Mr. Kelly's classs earned [tex]\$44.80-\$43.40=\$1.40[/tex] more than Mr. Sanchez's class.
Annual sales for a restaurant were $575,000 in 2006. Since then, the sales increased at a rate of 3% per year. Write and use an exponential model to find the sales in 2018.
Answer:
The correct answer is that the annual sales for 2018 is US$ 819,813 (Rounding to the whole nearest dollar)
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Annual sales for a restaurant in 2006 = US$ 575,000
Duration of the sales analysis = 12 years
Annual sales increase rate = 3%
2. Let's find the annual sales turnover after 12 years in 2018, using the following formula:
Sales 2018 = Sales 2006 * (1 + r) ⁿ
Sales 2006 = US$ 575,000
number of periods (n) = 12
rate (r) = 3% = 0.03
Replacing with the real values, we have:
Sales 2018 = 575,000 * (1 + 0.03) ¹²
Sales 2018 = 575,000 * 1.42576089
Sales 2018 = US$ 819,813 (Rounding to the whole nearest dollar)
Answer:
$819,812.50
Step-by-step explanation:
Shouldn't round in this case because they're asking for the numerical value of money which the .50 in cents is vital to the problem.
Rewriting the expression 15x+9 as 9+ 15x is an example of the ———— property of ———-?
Rewriting the expression 15x+9 as 9+ 15x is an example of the commutative property of addition
Solution:The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
To “commute” means to move around or travel.
According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum
When two numbers are added, the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4
For addition, the rule is a + b = b + a
Here in the problem 15x + 9 is equivalent to 9 + 15x
Hence, rewriting the expression 15x+9 as 9+ 15x is an example of the commutative property of addition
The process of rewriting 15x + 9 as 9 + 15x uses the Commutative property of addition. This asserts that changing the order of addition doesn't affect the sum.
Explanation:Rewriting the expression 15x+9 as 9+15x is an example of the Commutative property of addition. The Commutative property states that the order in which you add or multiply numbers does not affect the sum or product. So in your case, 15x + 9 = 9 + 15x because of the Commutative property of addition. This is true for addition of ordinary numbers as well, for instance 2 + 3 will yield the same result as 3 + 2.
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How many different four-letter secret codes can be formed if the first letters must be an S or a T
The number of different four-letter secret codes can be formed if the first letters must be an S or a T is; 35,152
How to solve permutation and combination?
If the first letters of a four-letter secret code must be an S or a T, there are 26 possible choices for the remaining two letters. This is because there are 26 letters in the alphabet, and each letter can be one of the remaining 26 letters after the first two are used.
To calculate the total number of possible combinations, you can use the following formula:
26×26×26×2.
This formula represents the number of possible combinations for each of the remaining letters. Multiplying these values together gives you the total number of possible four-letter secret codes:
26×26×26×2=35,152
So, there are 35,152 different four-letter secret codes that can be formed if the first letters must be an S or a T
can someone please help me???
A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on the shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.
Which number could be the number of packages of flour tortillas the clerk put on the shelf?
The number of flour tortilla packages could be 9 or any number that results from subtracting 7 (corn tortilla packages) from a multiple of 16 (total packages). It's necessary to keep the ratio between corn tortillas and total packages at 7:16.
Explanation:The subject of this question refers to the mathematical concept of ratios. Given the ratio of corn tortillas to the total number of packages is 7:16, this means that out of every 16 packages, 7 are corn tortillas. Therefore, the remaining packages must be flour tortillas.
To figure out the possible number of packages of flour tortillas, you would subtract the number of corn tortilla packages (7) from the total (16). So, there could be 9 packages of flour tortillas on the shelf.
Please note that this ratio can apply to any multiple of 16. As long as the number of packages is divisible by 16, you can use the ratio to find the number of flour tortilla packets. For example, if the total number of packages was 32, you could have 18 packages of flour tortillas (since 32-14=18) and so on.
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What value of x will make the equation 5x-2/11 = -7 a true statement
Answer:
X=-15
Step-by-step explanation:
Multiply both sides by 11
5x-2=-77
add 2 to both sides
5x=-75
Divide both sides by 5
x=-15
The value of x equal to -15 will make the given equation a true statement.
What is an equation?It is a mathematical statement that shows that two mathematical expressions are equal.
The given equation is
(5x-2) / 11 = -7
Multiply both sides by 11
i.e. 5x-2 = -77
Then add 2 to both sides
i.e. 5x = -75
Divide both sides by 5
i.e x = -15
Hence, the value of x that will make the equation 5x-2/11 = -7 a true statement is -15.
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What is the symmetry in modern echinoderms called? 10 part symmetry
5 part symmetry
lateral symmetry
bilateral symmetry
Answer:
5 part symmetry
Step-by-step explanation:
I did the test
Answer:
5 part symmetry.
Step-by-step explanation:
I took the test and got it right.
Melvin spends 6 1/4% of his monthly salary on transportation. if his salary is 1,600 a month how much does he spend on transportation
Answer:
$100
Step-by-step explanation:
6 1/4=25/4
25/4%=0.0625
0.0625*1600=100
---------------------------
Leslie has $80 in a savings account. the interest rate is 5% per year and is not compounded.how much will she have in 1 year?n
Answer:
[tex]\$84[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=1\ years\\ P=\$80\\ A=\$?\\r=5\%=5/100=0.05[/tex]
substitute in the formula
[tex]A=80(1+0.05*1)[/tex]
[tex]A=80(1.05)[/tex]
[tex]A=\$84[/tex]
A set of scales is used to show that two lemons and seven tomatoes are required
to balance one cabbage. If two lemons balance one tomato, how many tomatoes will balance one cabbage?
Answer:
8 tomatoes are required to balance 1 cabbage
Step-by-step explanation:
Given :
Two lemons and seven tomatoes are required to balance one cabbage:
2 Lemons + 7 tomatoes = 1 cabbage (equation 1)
two lemons balance one tomato
2 lemons = 1 tomato
put in equation 1:
1 tomato + 7 tomatoes = 1 cabbage
8 tomatoes = 1 cabbage
8 tomatoes required to balance one cabbage
16 points will mark brainiest
Answer:
E=5
Step-by-step explanation:
Given,
[tex]32= 2^E[/tex]
We know [tex]32[/tex] can be written as [tex]2^5[/tex]
Substituting [tex]2^5[/tex] in place of [tex]32[/tex]
We get,
[tex]2^5 = 2^E[/tex]
Since the base is equal, now comparing the exponent.
Therefore [tex]E=5[/tex] is the missing exponent.
Answer:
E = 5 and [tex]32 = 2^5[/tex]
Step-by-step explanation:
Given:
[tex]32 = 2^E[/tex]
Now we know that E is denoted as an exponent term,
Exponent term indicates the value which can be to the power of a number.
Now 32 can be written as,
[tex]32 = 2\times 2\times2\times 2\times2[/tex]
Hence from above we can say that 2 can be multiplied 5 times to get the value as 32.
hence we can say that,
[tex]32 = 2^5[/tex]
Hence E=5
the ratio of red ribbons to green ribbons is 4 to 6 if there a total of 32 red ribbons then how many green ribbons are there?
There are 48 green ribbons
Solution:Given that the ratio of red ribbons to green ribbons is 4 to 6
Which can be written in following way:-
[tex]\frac{\text {Red} r i b b o n}{\text {Green ribbon}}=\frac{4}{6}[/tex]
There are total number of 32 red ribbons
We have to determine the number of green ribbon
Let the number of green ribbon be ‘6a’
And number of red ribbons be "4a"
Given number of red ribbons = 32
4a = 32
a = 8
number of green ribbon = 6a = 6(8) = 48
Therefore number of green ribbons is 48
Final answer:
To find the number of green ribbons, the ratio of red to green is scaled to match the actual count of red ribbons. With 32 red ribbons and a ratio of 4:6, there are 48 green ribbons.
Explanation:
To solve the problem, we need to find out how many green ribbons there are when we know that the ratio of red ribbons to green ribbons is 4 to 6 and there are 32 red ribbons in total.
First, let's use the given ratio. Ratios can be scaled up by the same factor on both sides to represent actual quantities. So, if we have 4x red ribbons and 6x green ribbons, and we know 4x = 32, we can solve for x: x = 32 / 4 = 8. This means for every 8 red ribbons, there are 12 green ribbons since 6x = 6 × 8 = 48.
Therefore, if there are 32 red ribbons, there are (32 / 8) × 12 = 4 × 12 = 48 green ribbons.
5)
→ A down payment of $400 is what percent of the cost of $2500?
This needs to be shown full work on elementary math class ASAP!
Answer:
The percent of down payment of the cost $2500 is 16% .
Step-by-step explanation:
Given:
Down payment = $400.
Cost = $2500.
Now, to find the percent of down payment of the cost.
According to question:
$400 / $2500 × 100.
⇒[tex]\frac{400}{2500} \times 100[/tex]
⇒[tex]0.16\times 100[/tex]
⇒[tex]16[/tex].
Therefore, the percent of down payment of the cost $2500 is 16%.
16% is the answer to your question.