1. A train at a carnival covers a distance of 4 miles in 20 minutes. How
far does the train travel in 80 minutes?
Angela plans to buy new flooring for her bedroom. Her bedroom floor is a rectangle that is 7.9 meters by 6.2 meters. a. How many square meters of floor space does her bedroom have? meters squared b. Suppose the flooring costs $5.90 per square meter. How much will the flooring cost? (use a dollar sign and NO SPACES)
part A is 48.98 meters squared. part B is $288.982.
Step-by-step explanation:
To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.
I hope this helps
what would the answer to this be?
Answer:
B because for ASA to work the side has to be surrounded with the angles and <ACD = <CAB has to be true and for
SAS to work the angle has to be surrounded by sides so
AD = BC has to be true.
Hope this helped and brainliest please
Which, if any , of the following equality’s is incorrect ?
Answer:
x = 32 is incorrect
Step-by-step explanation:
[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
549 customers are 36% of how many customers?
Answer:
513
Step-by-step explanation:
549- 36 = 513
2.
Suppose you are making a giant chocolate chip cookie for a raffle. You roll out
a square slab of cookie dough. Then you use a circular plate that touches the
edges of the square slab of cookie dough and cut the cookie out of the dough.
What is the area of the extra dough? Write your answer in factored form.
Please read "Step-by-step" if you're having trouble
Answer:
x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
Step-by-step explanation:
Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.
The area of the cookie dough is x², the area of the plate is 1/4[tex]\pi[/tex]x².
You have the equation x²- [tex]\frac{1}{4}[/tex][tex]\pi[/tex]x²the equation has a Greatest Common Factor of x² so your factored equation is x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
How do you solve this? Or what’s the answer?
Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7
The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
What is the total cost of a video game that is $59.99 with a sales tax of 7%?
Answer:
Your total will be $64.19
Step-by-step explanation:
I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
6 m
(5 m
15 m
15 m
Answer:
195 m
Step-by-step explanation:
Both shapes follow the formula: A = bh
The Big Square:
15 x 15 = 225
The Small Square:
6 x 5 = 30
225 - 30 = 195
Round to the nearest tenth
Answer:
Step-by-step explanation:
Pythagorean theorem: b² + 6² = 14²
b² = 14² - 36² = 160
b = 4√10
sin(A) = 6/14 = 3/7
∠A = arcsin(3/7) ≈ 25.4°
∠B ≈ 90° - 25.4° = 64.6°
I purchase a new gaming system on opening night. Since I am one of the first 100 customers to purchase the system, the store gives me a 20% discount of the regular cost. If I pay $500 for the gaming system at the discounted price, what is the regular cost of the gaming system?
I WILL GIVE BRAINLIEST
Answer:
2500
Step-by-step explanation:
50020%50020%
Convert 20%20% to a decimal.
5000.25000.2
Divide 500500 by 0.20.2.
2500
If 3/4 container of paint covers 3/5 of a wall, which statement is true? a.It takes 114 containers of paint to cover the entire wall because 34÷35=114. b.It takes 229 containers of paint to cover the entire wall because 34÷35=229. c.The entire container of paint covers 920 of the wall because 35÷34=920. d.The entire container of paint covers 23 of the wall because 35÷34=23.
Answer:
Step-by-step explanation:
i nedd the answers
The graph of a power function in the form y = abˣ is shown below. Which of the following must be true about the values of a and b
a < 0 and b is odd
a > 0 and b is odd
a < 0 and b is even
a > 0 and b is even
Answer:
sorry i dont know this answer
Cristian divides 6 cups of fruit juice equally among 8 friends. Two of his friends don't drink the juice. How much juice is left over?
A. 3/4 cup
B. 1.5 cups
C. 4 1/2 cups
D. 5.25 cups
Why?
please help
Answer:
B. 1.5 cups
Step-by-step explanation:
6/8 = 0.75
each person gets 0.75 each
Since 2 people chose not to drink the juice. the left overs would be 0.75*2
0.75*2=1.5
Mr. Herron drives for .9 hours (54 minutes) to reach El Rancho every day for work. If his average speed was 25 miles/hour, how far does Mr. Herron live from El Rancho?
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
To learn more about compound interest click :
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find the length of the radius
Answer:
6
Step-by-step explanation:
Use the given information combine with the Pythagorean theorem to set up an equation. The Pythagorean theorem states that ([tex]a^2 + b^2 = c^2[/tex]), where (a) and (b) are the legs of the right triangle (sides that are adjacent to the right angle); and (c) is the hypotenuse (the side opposite to the right angle). Substitute in the given values in the problem,
[tex]a^2 + b^2 = c^2[/tex]
Substitute,
[tex]QO^2 + QP^2 = PO^2[/tex]
[tex]x^2 + 8^2 = (4+x)^2[/tex]
Simplify, distribute
[tex]x^2 + 64 = x^2 + 8x + 16[/tex]
Inverse operations,
[tex]x^2 + 64 = x^2 + 8x + 16\\-x^2\\\\64 = 8x + 16\\-16\\\\48 = 8x\\/8\\\\6 = x[/tex]
what is the slope of the line 8y = -16
Answer: y=-2
Step-by-step explanation:
8y=-16
divide by 8 on each side
y=-2
Eli buys milk and lemons at the store.
He pays a total of $50.59.
He pays a total of $6.35 for the milk.
He buys 7 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answer:
$6.32
Step-by-step explanation:
m + L = total $
6.35 + 7L = 50.59
7L = 44.24
L = 6.32
Bella invested $7,400 in an account paying an interest rate of 5 3/8 % compounded continuously. Lily invested $7,400 in an account paying an interest rate of 5 3/4% compounded quarterly. After 17 years, how much more money would Lily have in her account than Bella, to the nearest dollar?
Answer:
$1078
Step-by-step explanation:
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions B. How many total solutions are there to your equality?
Answer:
-4 ≤ x ≤ 2,300
If x is a real number, we have infinite solutions.
if x is an integer number, we have 2,305 solutions.
Step-by-step explanation:
We want to write an inequality such that the numbers:
3, -4, 0, and 2,300 are solutions.
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
Now, how many solutions does this inequality has?
if x is a real number, then we have infinite solutions.
if x is an integer, then the total number of solutions will be equal to:
number of negative solutions (4)
number of positive solutions (2,300)
the number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
B. The number of the solution to the inequality will be
We have limitless solutions if x is a real number.
If x is an integer, the set of possible solutions will be
The number of negative solutions (4)
The number of positive solutions (2,300)
The number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
More about the inequality link is given below.
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Lauren is going to invest $740 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Lauren to end up with $920?
Answer:
2.4
Step-by-step explanation:
help!!!!! will give big brain
Enter the value of 2 • 43 +4.
PLEASE ANSWER QUICK
Answer: 90
Step-by-step explanation:
2*43+4
86+4
90
Answer:
94
Step-by-step explanation:
43 +4 = 47
47 x2 = 94
A baker uses 3/4 teaspoon cinnamon for every 2/3 can of pumpkin when making pumpkin muffins. How much cinnamon does the baker need for each can of pumpkin?
Answer:
9/8 teaspoon
Step-by-step explanation:
The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.
0.66*1.5 = 1
So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.
0.75*1.5 = 1.125
Convert into fractional form:
1.125 = 9/8
Your answer is 9/8 teaspoon of cinnamon per one can of muffins.
Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?