What must be true about Alternate Interior Angle?
Answer:
Congruent
Step-by-step explanation:
They need to be congruent, it would not be alternate interior angle if the transversal intersects two parallel lines.
a) how would you work out 4 1/3 x 6?
The solution of the expression 4¹/₃ x 6 will be 26.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,
E = 4¹/₃ x 6
E = ( 13 / 3 0 x 6
E = 13 x 2
E = 26
Hence, the solution will be 26.
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Big ideas math segments lesson 1.2
12, 14,16,18
The provided arithmetic sequence adds up to 60.
What is an arithmetic sequence?The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d
Given an arithmetic sequence 12, 14,16,18
The general formula for the Sum of arithmetic sequence:
Sn = n/2 [2a+(n−1)d]
where: n = the number of terms to be added.
a = the first term in the sequence.
d = the constant value between terms.
In our case,
a = 12
n = 4
and d = 14 - 12 = 2
thus
Sum = 4/2(2*12 + (4- 1 )2)
Sum = 2( 24 + 6)
Sum = 60
therefore, the Sum of the given Arithmetic sequence is 60.
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Martha has some nickels and dimes worth $6.25. She has three times as many nickels as dimes. How many nickels does she have?
Answer:
75 nickels.
Step-by-step explanation:
Here is the system of equations you can use:
0.05n+0.1d=6.25 (which can be converted to 5n+10d=625)
3d=n
5(3d)+10d=625
15d+10d=625
25d=625
d=25
3(25)=n
n=75
PLEASE HELP ME
My teacher is really bad at explaining this so I'm confused
Kara and Nathan participated in a 60-minute maze race.
Kara:
32 minutes
Nathan:
40 minutes
Part B
Is the relationship in Part A rational or irrational? Justify your answer.
Select the answers that complete the sentences.
Hint(s): A rational number can be written as a ratio of two integers.
Can the times for each be written as integers?
The relationship is
The number
be expressed as a ratio of two integers.
1 rational
11 irrational
can
I cannot
Answer:
A) There is a rational relationship, B) Given ratio is not an integer.
Step-by-step explanation:
A) Is the relationship in Part A rational or irrational? Justifty your answer.
From Mathematics we remember that a rational number can formed by dividing a natural number by another natural number. Since Kara and Nathan had two natural numbers {32, 40} as their times of participation in the maze race, ratio between those times can be considered a rational number.
Hence, there is a rational relationship.
B) Can the times for each be written as integers?
The times represents the ratio of the upper number (40) to the lower number (32), the "times" can be written as integer if and only if denominator is equal to 1 after simplifying the ratio. That is:
[tex]x = \frac{40}{32}[/tex]
[tex]x = \frac{20}{16}[/tex]
[tex]x = \frac{10}{8}[/tex]
[tex]x = \frac{5}{4}[/tex]
In consequence, this ratio does not represent an integer. ([tex]1.25=\frac{5}{4}[/tex])
Translate the sentence into an equation.
Twice the difference of a number and 8 is 2.
Use the variable c for the unknown number.
Answer:
2×c=8 c=4
Step-by-step explanation:
Help me out fast on this question.
P.9.115
A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?
The credit union is a better deal when writing or fower checks per month
This question was not properly written
Correct Question
A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?
The credit union is a better deal when writing fewer checks per month
Answer:
Writing between 0 to 99 checks makes the credit union a better deal.
Step-by-step explanation:
Let the number of checks be represented by x
Note, 1 cent = $0.01
A local bank charges $9 per month plus 2c per check.
2c = $0.02
$9 + 0.02× x
= 9 + 0.02x
The credit union charges $7 per month plus 4c per check.
4c = $0.04
= $7 + 0.04 × x
= 7 + 0.04x
The credit union is a better deal when writing fewer checks per month
Hence:
Credit union < Local bank
7 + 0.04x < 9 + 0.02x
Collect like terms
0.04x - 0.02x < 9 - 7
0.02x < 2
x < 2/0.02
x < 100 checks
Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.
LaTeX: Create\:an\:equation\:in\:slope\:intercept\:form\:that\:is\:parallel\:to\:y\:=\frac{\:1}{3}x\:+\:4\:and\:goes\:through\:the\:point\:\left(-3,\:1\right).C r e a t e a n e q u a t i o n i n s l o p e i n t e r c e p t f o r m t h a t i s p a r a l l e l t o y = 1 3 x + 4 a n d g o e s t h r o u g h t h e p o i n t ( − 3 , 1 ) .
Group of answer choices
LaTeX: y=\frac{1}{3}x+2 y = 1 3 x + 2 y = 1 3 x + 2 y = 1 3 x + 2
LaTeX: y\:=\:-3x\:+\:4 y = − 3 x + 4 y = − 3 x + 4 y = − 3 x + 4
LaTeX: y=\frac{1}{3}x y = 1 3 x y = 1 3 x y = 1 3 x
LaTeX: y=-3x-8
Answer:
[tex]y = \frac{1}{3}x +2[/tex]
Step-by-step explanation:
Given
Equation:
[tex]y = \frac{1}{3}x + 4[/tex]
[tex]Point: (-3,1)[/tex]
Required
Determine the equation of the point parallel to the given equation
First, we need to determine the slope of: [tex]y = \frac{1}{3}x + 4[/tex] using
[tex]y = mx + b[/tex]
Where m represents slope.
By comparison
[tex]m = \frac{1}{3}[/tex]
The equation of the point is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,1)[/tex]
So, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = \frac{1}{3}(x - (-3))[/tex]
[tex]y - 1 = \frac{1}{3}(x +3)[/tex]
[tex]y - 1 = \frac{1}{3}x +1[/tex]
Solve for y
[tex]y = \frac{1}{3}x +1 +1[/tex]
[tex]y = \frac{1}{3}x +2[/tex]
What are the two decisions that you can make from performing a hypothesis test? Select all that apply.
A.
accept the alternative hypothesis
B.
fail to reject the alternative hypothesis
C.
accept the null hypothesis
D.
fail to reject the null hypothesis
E.
reject the null hypothesis
F.
reject the alternative hypothesis
G.
make a type II error
H.
make a type I error
Answer:
reject the null hypothesis or fail to reject the null hypothesis.
The two decisions that perform the hypothesis test includes fail to deny the null hypothesis, and deny the null hypothesis.
Hypothesis testing refers to the testing that can give access to the reliability of the hypothesis via sample data.
There are two types of decisions that are considered to be wrong while performing the hypothesis test is:
In the case when the hypothesis is true but i.e. rejected. This is known as a type I error.In the case when the hypothesis is false, but it is failed to reject it. This is known as a type II error.So, the decisions that should not be considered while performing the hypothesis test is:
Acceptance of the alternative hypothesis.Acceptance of the null hypothesis.Fail to deny the alternative hypothesis.Deny the alternative hypothesis.Making of type I error.Making of type II error.Therefore we can conclude that options D and option E are considered from performing a hypothesis test.
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triangle DEF is a right triangle and the of angle D is 28° what are the measures of the other two angles if the measures of angle E is greater than the measure of angle F
Answer:
A possiable answer to solve this could be E is 86 and F is 66
Step-by-step explanation:
All triangles have a 180 degree to them. I just subtracted 28 from 180. Diveded that by 2 then gave one ten degrees more and the other has ten degrees less
The measure of the angle E will be 90° and the measure of the angle F will be 62°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle DEF is a right triangle and the of angle D is 28°.
In a right-angle triangle, one angle will be 90°.
If the measure of angle E is greater than the measure of angle F. Then the angle E will be 90°. Then the measure of the angle F will be given as,
We know that angle D and angle F are complementary. Then the equation is given as,
∠F + ∠D = 90°
∠F + 28° = 90°
∠F = 62°
The measure of the angle E will be 90° and the measure of the angle F will be 62°.
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Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile?
Answer:
0.066666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
4 divided by 60=that
............................................................(18x-8) (4x+16)
Answer:
[tex](18x-8)(4x+16)=72x^2+256x-128[/tex]
That's really all you can do to that equation, I think.
Hope this helps!
How much smaller is x−3 than x+4?
Answer: bsf google
Step-by-step explanation: go to google look it up and find the answer
Answer:
x-3
Step-by-step explanation:
It's x-3 because if you put 12-3 it will be 9 but if you add x+4 it will be 16
Explain how to estimate the product of 12/3/8 times 6/7/8.
Answer:
210 approximately.
Step-by-step explanation:
12/3/8 = 12*8/3 = 32
6/7/8 = 6*8/7 = 48/7 = 7 approximately
So the product is approximately 30*7 = 210.
2y-5y=-10.
what are the x and y intercepts
Answer:
The y intercept is (0,2) and the x intercept is (5,0)
Step-by-step explanation:
Find the y-intercept by letting x = 0
2(0) + 5y = 10
5y = 10
y = 2 Therefore, the y-intercept is (0, 2)
Find the x-intercept by letting y = 0
2x + 5(0) = 10
2x = 10
x = 5 Therefore, the x-intercept is (5, 0)
Here is the graph!!
A. 2,−4, 6,−8
B. −1/3, −1/6, 1/2, 1
C. −11/0, 0.2, 3/10, 1/4
D. −11/2,−0.75,−0.25, 1/12
E. −8,−34,−3, 1/4
Please tell me all of the answers that are correctly in order from least to greatest.
Answer:
The answer is D
Step-by-step explanation:
Cant be C because one of them is undefined.
Cant be A because 2 is greater than -4
can't be B because -1/3 is closer to 0 than -1/6
can't be E because -8 is closer to 0 than -34
D is all in order.
Answer:
d
Step-by-step explanation:
because I'm tired and tried trying to dosn hem
To find the quotient of 8 divided by one-third, multiply 8 by
One-eighth.
One-third.
3.
8.
Answer:
The answer is 3
Step-by-step explanation:
To find the quotient of 8 divided by 1/3 multiply 8 by
8/1 divided by 1/3
8 x 3
-------
1 x 1
=
24/1
=
24
The quotient of 8 divided by one-third is same as multiply 8 by 3.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The quotient of 8 divided by one-third.
Now, We get;
The quotient of 8 divided by one-third.
⇒ 8 ÷ 1/3
⇒ 8 × 3
Thus, It is clear from the above steps that dividing 8 by 1/3 is equivalent to multiplying 8 by 3.
Therefore, Multiplying 8 by 3 will give the same quotient.
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Denise is going to shop with the $250.00 that she earned from doing chores. She wants to save
20% of her money to put into a savings account. She buys a pair of jeans for $75.00 and a new
leather coat for $110.00, with 5% sales tax on both items. Does Denise still have the amount of
money she planned to put into her savings account?
Yes she does.
I just answered the question.
I need help plssssssss
Answer:
Choices Please?
Step-by-step explanation:
Comment on this
Answer:
.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!!
Solve for x: 5x + 15 = 28 (5 points)
forty-three over five
thirteen over five
13
43
Answer:
x=3
or 13/5
Step-by-step explanation:
5x+15=28 (-15)
5x=13 (/5)
x=3
need help really please
Answer:
the answer is b. I need more words to submit this
Jan designs a new logo for Kim's website. Kim pays Jan $45 for 5 hours of work. How much will Kim pay Jan for 15 hours of work?
am not sure but i think its 135$
i divided 45 by 5 to get the pay per hour
then multipled 9 by 15 to get the answer
am not the best in maths so its better u get someone to check if before u submit.
Answer:
675
Step-by-step explanation:
$45✖15 hours=675
so you see what we did here is multiply the money amount by the hour .
HOPE IT HELPS :)PLEASE GIVE ME brilliant!!!Find the sequence whose nth term is 4n + 5 also prove that the sequence is an AP
The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prepaid for his stay and paid the state park commission a fee of $565. This paid for the one time fee as well as for a number of days. How many days of parking did Anthony pay for? Group of answer choices
Answer:
Anthony paid for 7 days of parking.
Step-by-step explanation:
From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:
c=180+55x, where c is the cost of parking the motor home and x is the number of days.
Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:
565=180+55x
565-180=55x
385=55x
x=385/55
x=7
According to this, Anthony paid for 7 days of parking.
pls help this is due today and need help please.
Answer:
The answer is 45.9 L
Step-by-step explanation:
1. Multiply
25.5L x 1.8L
2. Solve
25.5 x 1.8= 45.9L
There were 32 adults and 4 children in line at the movie theater. How many times more adults were in the line than children?
Answer:
8 times more adults than kids
Step-by-step explanation:
Your family goes to dinner. The meal costs $55 for all of you. You pay 7% sales tax and leave a 9% tip. What is the total cost of the meal after tax and tip?
Answer:
8.80 dollars
Step-by-step explanation:
How many of the 20% acidic solution be added to create the needed 30% acidity in the final mixture