Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
if we pick two respondents at random, what's the probability they both selected purple
Answer:
This depends on what other colors are in the question. But put 1/x and replace the x with how many colors there are and thats thier probabilaty of choosing purple.
Step-by-step explanation:
Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5
Which number below is an integer but not a natural number?
A) -1/2
B) Square root of 8
C) -5
D) 72
Answer:
C) -5
Step-by-step explanation:
-5 is an integer but not a whole number or a natural number.
A. Joshua puts $8,765 in a
10-year 5.28% savings
certificate in which interest is
compounded quarterly. How
much total interest has he
earned at the end of the ...
a) second year?
b) fourth year?
c) seventh year?
d) tenth year?
The amount at the end of the second year is $9,734.49.
The amount at the end of the fourth year is $10,811.22.
The amount at the end of the seventh year is $12,653.68.
The amount at the end of the tenth year is $14,810.14.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $8765
r = 5.28%
n = 4 (quarterly)
Amount after 2 years.
A = 8765 [tex](1 + 0.0131)^2[/tex]
A = $9,734.49
Amount after 4 years.
A = 8765 [tex](1 + 0.0131)^4[/tex]
A = $10,811.22
Amount after 7 years.
A = 8765 [tex](1 + 0.0131)^7[/tex]
A = $12,653.68
Amount after 10 years.
A = 8765 [tex](1 + 0.0131)^{10}[/tex]
A = $14,810.14
Thus,
The amount at the end of the second, fourth, seventh, and tenth year is given above.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
5(x - 7) = 55 ⇒ 5x - 35 = 55
The 5 was distributed in 5(x-7) to get 5x - 35.
state if the triangles in each pair are similar, if so state how you know they are similar.
Answer:
Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.
Side PQ in triangle PQR = 16
Side MN in triangle LMN = 8
Therefore,
PQ/MN = 16/8 = 2
Side PR in triangle PQR = 14
Side LN in triangle LMN = 7
Therefore,
PR/LN = 14/7 = 2
Therefore, triangle PQR is similar to
triangle LMN because
1) the length of PQ is proportional to the length of MN.
2) the length of PR is proportional to the length of LN
3) angle P = angle N
4) Therefore, QR is also proportional to ML
Therefore,
PQ/MN = PR/LN = QR/ML = 2
Step-by-step explanation:
The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.
What are similar triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.
As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.
A.) In the first pair of triangles,
For the first pair of triangles to be similar,
[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]
The above ratio should be similar, but since we can see that the ratio,
[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]
[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]
As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.
B.) In the second pair of triangles,
For the second pair of triangles to be similar,
[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]
The above ratio should be similar, and as we can see that the ratio,
[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]
As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.
Learn more about Similar Triangles:
https://brainly.com/question/25882965
What is the value of (2/3)2?
Answer:
2/3(2)
=(2/3)(2/1)
=(2*2)/(3*1)
=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
(2/3)2
(2/3)(2/1)=4/3
Pls help I’m trying to solve for x
Answer: x = 28
Please give Brainliest if this helped you
Step-by-step explanation:
Bathing suits are on sale 80% off at Dillards. If I see a bathing suit marked down to $25, what was the original price of the bathing suit?
Answer:
i think 20
Step-by-step explanation:
Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6
Answer:
5 tickets
Step-by-step explanation:
45 - 6.75 = 37.35
37.35 ÷ 4 = 9.3375
So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets
Select the algebra tiles that correctly model the problem.
three less than a number
Answer:
This is my answer, Credit to the person on top
Answer: its a
Step-by-step explanation:
3. Solve each equality or inequality:
a. |8x-6|= 0
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Find possibilities.
We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.Step 2: Solve possibility 1.
[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]Therefore, x = 3/4.
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
Learn more about tax credit on:
https://brainly.com/question/25895721
If one angle of a parallelogram is of measure 70
∘
, find the measures of all the angles of the parallelogram.
Answer:
70, 110, 70, 110
Step-by-step explanation:
If one angle is 70 degrees, the opposite angle is also 70 degrees. The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.
Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.
Original price, discount rate, discount and sale price are given but one of them is missing.
Like original price = missing, discount rate = missing, and so on.
Explanation:
The relevant relationships are ...
discount = (discount rate) × (original price)
(sale price) = (original price) - discount
__
Putting these into one equation gives ...
(sale price) = (original price) - (discount rate)×(original price)
Combining terms, yields ...
(sale price) = (original price)×(1 -(discount rate))
This relation can be solved for either of the variables on the right:
(original price) = (sale price)/(1 -(discount rate))
(discount rate) = 1 -(sale price)/(original price)
or ...
(discount rate) = discount/(original price)
Going back to the beginning, you have ...
discount = (original price) -(sale price)
__
To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.
It's not rocket science. You see these calculations almost every time you go to the store.
_____
Additional comments
Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.
If you are the seller, the relations you typically see are ...
(cost price) + (markup) = (selling price)
The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).
And another one is ...
(markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage
Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.
__
Taxes are added on in the same way that discounts are subtracted:
(final selling price) = (selling price) + (tax rate)×(selling price)
or
(final selling price) = (selling price)×(1 +(tax rate))
estimate quotients using compatible numbers lesson 4.5 answer key
4 its the correct answer do it
Step-by-step explanation:
its correct
Solve for x
1. x + 4x = 90
Answer:
First, you combine like terms.
Then, you divide both sides of the equation by the same term.
Next, you simplify.
Lastly, you have your solution, which is x= 18
Step-by-step explanation:
Hope this helps!
Is the converse of the statement valid?
If a is odd, then a + 7 is even.
Yes. If a + 7 is even, then a is odd.
Yes. If a is odd, then a + 7 is odd.
No. If a is even, then a + 7 is odd.
No. If a + 7 is odd, then a is even.
The converse of the statement is valid
Yes. If a + 7 is even, then a is odd.
The converse of a statement is gotten by switching the hypothesis and the conclusion.
In the statement:
If a is odd, then a + 7 is even.
The hypothesis = a is odd
The conclusion = a + 7 is even
The converse of the statement will be:
If a + 7 is even, then a is odd.
The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd
Learn more on converse statement here: https://brainly.com/question/2751386
what is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?
Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.
Explanation:
y = 6, x = -6
By putting above values in equation (i)
6 = approximately -1.66 (-6) + b
6 = approximately 9.96 + b
approximately -3.96 = b
b = approximately -3.96
y = -5/3x + -3.96
12/15 =10/13 true or false
Answer:
False.
Step-by-step explanation:
9) the formula for the volume
I of a cone is v= 1/3 TT r ² h
Solve the formula for the
height h
Please show your work!!!
Answer:
V=TTr²h
Step-by-step explanation:
Why?
Because you will v=TT r² h/3
so the answer is
v=TT r² h/3,r É R,h É R
That's my hardwork lick it brainliest and liked my hardwork please
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school
Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
help me please ^^ I'm getting my grades to all A's for a honerole
Answer:
A
Step-by-step explanation:
A line passes through the point ( -1,2 ) and has a slope of 6. Write an equation for this line.
Answer:
y = 6x+8
Step-by-step explanation:
y = mx+b
y = 6x + b
2 = 6(-1)+b
2 = -6+b
8 = b
y = 6x+8
Y+1=1/5(x-10)
Solve for y
Answer:
y = (x-10 / 5) - 1
Step-by-step explanation:
Hope this helps :)
Answer:
y=1/5x-3
Step-by-step explanation:
y+1=1/5(x-10)
y=-1 +1/5(x-10)
y= -1 +1/5x-2
y=1/5x-3
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?
84
80
90
74
Answer:
74
Step-by-step explanation:
The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation
Mean = (sum of numbers)/(number of numbers)
Let's say that the missing test score is called x:
Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6
80(6) = 80 + 85 + 73 + 78 + 90 + x
480 = 80 + 85 + 73 + 78 + 90 + x
x = 480 - 80 - 85 - 73 - 78 - 90
x = 74
please help and show work
x=
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
what number u give me : 1. Bae 2. Bestie 3. Homie 4. R.O.D 5. Shawty 6. Friends 7.Be Mines? 8. Baby Girl 9. Boo 10. Sey Pickle 11. Lil sis 12. Lil bro13. Drug buddy 14. Crush 15. Plug 16. Funny Pickle 17. I miss you 18. Wifey 19. Hubby 20. We kool 22. All mines 23. Daddy
Answer:
14. 1. would u be mine?
Step-by-step explanation:
Help me plzzzz
Graph y = -3x + 7.
Answer:
This is the graph. Hope the pic loads.
Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of
$50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hour.
Using systems of equations, answer the following questions. Show all your work.
Part A: Write a system of equations the represent the situation. (Be sure to identify the
variables.)
Answer:
?
Step-by-step explanation:
i'm sorry i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye
The system of equations that represent the situation are as follows;
C = $50 + $25hC = $10 + $35h.According to the question;
Mary was trying to rent a boat and wanted to get the best plan.Let C = Charged feesand h = hours of rentalFor Plan A:
Rental plan A charges a fee of$50 plus $25 per hour.C = $50 + $25hFor Plan B:
Plan B charges a fee of $10 plus $35 per hour.C = $10 + $35h.Read more on rental charges;
https://brainly.com/question/1503197
The map shows two walking trails in a park. Both paths end at the picnic area, located at C(6, 1). Trail A starts at A(−6, 6), and Trail B starts at B(−10, −11). If each unit on the map represents 0.5 mile, how many miles longer is Trail B than Trail A?
Answer:
12 miles
Step-by-step explanation:
because of slope