Answer:
x + y = -3.
Step-by-step explanation:
x + y = 2y = -x + 2 - the slope of this line is -1 . The line parallel to it will also have a slope of -1.It also passes through (-7,4) so we havey - 4 = -1(x - -7)y - 4 = -1(x + 7)y - 4 = -x - 7x + y = -3 is the required equation.
Find the equation of a line whose graph passes through the points (8,1) and (0,1)
Answer: y=1
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(1-1)/(0-8)
m=0/(-8)
m=0
y=mx+b
1=0(0)+b
b=1
y=0x+1
y=1
3. The mean of four numbers is 30. If three of the numbers are 12, 50, and 48, what is the fourth
number?
O 120
O 10
012
030
Answer:
12 10 12 30
Step-by-step explanation:
eso se devide y es 1.030
The sum of the four numbers divided by 4 is equal to the mean.
the sum/4 = mean
(12 + 50 + 48 + n)/4 = 30
(110 + n)/4 = 30
(110 + n) = 30 × 4
(110 + n) = 120
n = 120 - 110
n = 10
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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if this is solved you will be awarded a high mark prove the following formula 1 + sec²=cot²
This relationship is not true.
[tex]1 + \sec^2(x) = 1 + (1 - \tan^2(x)) = 2 - \tan^2(x)[/tex]
and
[tex]\cot^2(x) = \dfrac1{\tan^2(x)}[/tex]
Rewrite the equation in terms of only tangent.
[tex]2 - \tan^2(x) = \dfrac1{\tan^2(x)} \iff \tan^4(x) - 2\tan^2(x) + 1 = 0[/tex]
Factorize the left side.
[tex]\left(\tan^2(x) - 1\right)^2 = 0[/tex]
Solve for [tex]\tan(x)[/tex].
[tex]\tan^2(x) - 1 = 0[/tex]
[tex]\tan^2(x) = 1[/tex]
[tex]\tan(x) = \pm 1[/tex]
[tex]x = \pm\tan^{-1}(1) + n\pi = \pm\dfrac\pi4 + n\pi[/tex]
where [tex]n[/tex] is an integer. That is, the equation only holds for certain values of [tex]x[/tex], as opposed to all [tex]x[/tex], so it's not an identity.
If two rays share an endpoint,then they are opposite rays
Shermika practices basketball for two hours each day. Write an expression for the number of hours she practices in D days
The proportional relation that tells us how many hours she practices basketball in D days is:
H = 2*D
How to write an expression for the number of hours she practices in D days?
We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.
We want to find an expression that relates the number of hours practiced, H, in D days.
If she practices 2 hours per day, then in D days she will practice a total of:
H = 2*D
This is just a proportional relation that tells us how many hours she practices basketball in D days.
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Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the sample used for the survey ?
Answer:
6224 Brand X residents and 9335 Brand Y residents
Step-by-step explanation:
Total number of residents in the survey=15559
Residents that prefer Brand X=40%
Residents that prefer Brand Y=60%
Population sample?
Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents
Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents
Answer: B
Step-by-step explanation:
recipe says that 3 2/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 1/2 batches of biscuits?
Answer: 8 1/2 cups of flour
Step-by-step explanation:
You can look at this solution as x being the number of batches of biscuits.
1x = 1 batch of biscuits
1x = 3 2/5 cups of flour, or 17/5 cups of flour
We need to make 2 1/2 batches, restated as 5/2 batches.
This can be restated as 5/2x.
To determine our answer, we multiply x by 5/2.
5/2*(1x) = 5/2*(17/5)
5/2x = 85/10
Simplify.
85/10 = 8 5/10 or 8 1/2 cups
8 1/2 cups of flour are needed to make 2 1/2 batches of biscuits.
2. Josh went shopping for records and tapes on Monday and Tuesday.
He paid $95 for 4 records and 3 tapes on Monday and paid $70 for 2
records and 2 tapes on Tuesday. Write a system of equations that
could be used to determine the amount of each item and solve.
Answer:
it is very tough questions
How can you decompose one number to subtract? Why did you
choose that way? 696-275
The minuend and the subtrahend of 696 - 275 can be decomposed to give;
600 + 90 + 6
-
200 + 70 + 5
400 + 20 + 1
The decomposition into place values is chosen because of ease of reinforcing knowledge.
What is the decomposition method of subtraction?The decomposition method of subtraction involves decomposing the subtrahend, which is the smaller number and the place value of the numbers can be simply subtracted from the minuend.
In the subtraction, 696 - 275, the minuend is 696, while the subtrahend is 275.
Decomposing the subtrahend, gives;
275 = 200 + 70 + 5
Decomposing the minuend, gives;
696 = 600 + 90 + 6
The subtraction expression in the question, 696 - 275 gives;
696
-275
The above can therefore be decomposed as follows;
600 + 90 + 6
-
200 + 70 + 5
400 + 20 + 1
400 + 20 + 1 = 421
Therefore;
696 - 275 = 421
The reason the decomposition into place values of each digit is chosen is so as to make use of the easier understanding of subtracting numbers that are multiples of 10.
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HELP ILL GIVE BRAINLIST
Answer:
equation: x + 50 = 180
solution x = 130
Step-by-step explanation:
supplementary: angles that add to 180
50 + x = 180
180 - 50 = 130
x = 130
Answer:
the equation is x+50=180
solution is 130
Step-by-step explanation:
A straight line is 180 degrees so 180-50=130
So the equation is x+50=180
solution is 130
is 5/10 equivalent to 12/24
The equation will be,
→ 5/10 = 12/24
Is 5/10 equivalent to 12/24?
→ 5/10 = 12/24
→ 24 × 5 = 12 × 10
→ 120 = 120
→ [ LHS = RHS ]
Hence, they are equivalent.
Can someone please help me with This question? I don’t understand it. Please and thank you I would really appreciate it!! :)
(A∩B)∪(A∩C) using roster method is as follows:
(A∩B)∪(A∩C) = {a, e, f}
What are sets?Sets are an organized collection of objects that can be represented in set-builder form or roster form.
Therefore,
The universal sets is as follows:
U = {a, b, c, d, e, f, g, h}
The subsets are as follows:
A = {c, e, f}
B = {a, e, f}
C = {a, b, d, g, h}
Therefore, let's find (A∩B)∪(A∩C) using roster method.
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
Hence,
(A∩B) = {e, f}
(A∩C) = {a}
Finally,
(A∩B)∪(A∩C) = {a, e, f}
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What is 481 ÷ 9 = because i’ve been getting the answer wrong?
Answer: 53.44
Step-by-step explanation:
Answer:
53.4 repeating
Step-by-step explanation:
Step 1:Start by setting it up with the divisor 9 on the left side and the dividend 481 on the right side like this: 9⟌481
Step 2:The divisor (9) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top: 0 9⟌481
Step 3:Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend. 0 9⟌481 0
Step 4:Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below. 0 9⟌481 -0 4
Step 5:Move down the 2nd digit of the dividend (8) like this: 0 9⟌481 -0 48
Step 6:The divisor (9) goes into the bottom number (48), 5 time(s). Therefore, put 5 on top: 05 9⟌481 -0 48
Step 7:Multiply the divisor by the result in the previous step (9 x 5 = 45) and write that answer at the bottom: 05 9⟌481 -0 48 45
Step 8:Subtract the result in the previous step from the number written above it. (48 - 45 = 3) and write the answer at the bottom. 05 9⟌481 -0 48 -45 3
Step 9:Move down the last digit of the dividend (1) like this: 05 9⟌481 -0 48 -45 31
Step 10:The divisor (9) goes into the bottom number (31), 3 time(s). Therefore put 3 on top: 053 9⟌481 -0 48 -45 31
Step 11:Multiply the divisor by the result in the previous step (9 x 3 = 27) and write the answer at the bottom: 053 9⟌481 -0 48 -45 31 27
Step 12:Subtract the result in the previous step from the number written above it. (31 - 27 = 4) and write the answer at the bottom. 053 9⟌481 -0 48 -45 31 - 27 4
You are done, because there are no more digits to move down from the dividend.The answer is the top number and the remainder is the bottom number.Therefore, the answer to 481 divided by 9 calculated using Long Division is: 53 4 Remainder
How do I solve this problem?
6³√/16 + ³√128
Answer:
16∛2
Step-by-step explanation:
It looks like you want to simplify ...
6∛16 +∛128
Simplifying radicalsRadicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.
[tex]6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}[/tex]
Use the above table to determine how much is paid toward mortgage loan every month?
Group of answer choices
$675.00
$591.67
$121.74
$365.22
Answer:
$675.00
Step-by-step explanation: The chart says it all
A shirt and a tie are 57 together if the shirt is $29 more than the tie how much money is the Tie worth
Answer:
$14
Step-by-step explanation:
The tie costs x.
The shirt costs x + 29
Together they cost $57.
x + x + 29 = 57
2x + 29 = 57
2x = 28
x = 14
Answer: $14
Answer:
14
Step-by-step explanation:
Tie is X
Shirt is x + 29
So,
X+X+29= 57
2x+29= 57
57-29= 2x
28=2x
X= 14
So tie is 14 bucks
17.
Peter transports metal bars in his van.
The van has a safety notice: "Maximum Load 1200 kg".
Each metal bar has a label: "Weight 60 kg".
For safety reasons, Peter assumes that:
1200 is rounded correct to 2 significant figures, and
60 is rounded correct to 1 significant figure.
Calculate the greatest number of bars that Peter can safely put into the van if his assumptions are
correct.
Answer:
17 bars
Step-by-step explanation:
Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.
Range of valuesThe error in a rounded number is assumed to be as much as half of the least significant digit of the number.
Peter's load limit may actually be as low as ...
1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100
Peter's bar weight might be as high as ...
60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10
Safe loadingIf Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...
(1150 kg) / (65 kg/bar) ≈ 17.7 bars
The greatest number of bars Peter can load safely is 17.
Help, urgent!!!!! THANKS
THE FIRST ANSWER WILL BE MARKED THE BRAINLIEST, AND 20 POINTS!!!!!
Answer:
1.3 < x < 6.7
Step-by-step explanation:
4.0 - 2.7 = 1.3
4.0 + 2.7 = 6.7
Hope this helps!! <3
|−4 − 5x|=1 equals
Answer:
Step-by-step explanation:
over a period of a week the 4 people in group C ran a total pf 27 miles while the 6 people in group D ran a total lf 39 miles. On avarage who ran more miles Group C or Group D.
Group C ran more miles than Group D
the central value of a set of data is expressed by the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The center value of 2, 3, and 4 in this instance is 3, thus. Finding the mean value of a bunch of numbers is the definition of average.
Average = Total Values / Total Values
Group C = 27/4 = 6.75
Group D = 39 /6 = 6.5
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Susie saved up her money and bought a model train. Rack of the 8 cars on the train were the same length. When Susie put all the trains together the train was 3 feet long. How long was each car?
In linear equation , length of each car =.375 feet.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Rack of the cars on the train were the same length = 8
train was 3 feet long.
length of each car = 3/8 = .375 feet
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Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
HELPPPPPPPPPPPPPPPPPPPPPP
let DF become y
y = x + 9
to find x let y = 0
0 = x + 9
transpose 9
-9 = x
therefore DF = -9 as an integer
An appliance store decreases the price of a 19-In television set 29% to a sale price of $442.69. What was the original price?
Answer:
$623.50
Step-by-step explanation:
(100 - 29)% = 71%
71% = 71 / 100 = 0.71
Original price:
442.69 / 0.71 = 623.50
Hope this helps
PLEASE ANSWERING THIS QUESTIONS!!
The length of a rectangle is two more than double the width. If the perimeter is 82 inches, find the dimensions.
The width is (Blank) inches.
The length is (Blank) inches.
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
[tex]\huge\mathcal {♨Answer♥}[/tex]
Let's get the width as [tex]\large\texttt {x}[/tex]
So,
The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]
The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]
Let's get the answer for width,
☆ 2 (2x + 2) + 2x = 82
4x + 4 + 2x = 82
6x + 4 = 82 - 4
6x ÷ 6 = 78 ÷ 6
x = 13
Let's get the answer for length,
☆ 2x + 2
2 × 13 + 2
28
Then,
[tex]\large\texttt {↪The width is 13 inches}[/tex]
[tex]\large\texttt {↪The length is 28 inches}[/tex]
☆...hope this helps...☆
_♡_mashi_♡_
pls help me and no spam the question is on the screenshot
Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.
What is the dilated shape?The Dilation is to be with a scale factor of 1/3.
This means that the dimensions on the new shape will be:
= Dimensions on original shape x scale factor
= 9 x 1/3
= 9/3
= 3
Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.
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Find PD if the coordinate of P is -7 and the coordinate of D is -1.
The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1
We need to find the distance between the point P and point D.
The length of PD is the distance between point P and point D which will be calculated as:
PD = | P + D |
Substituting the values, we get that:
PD = | - 7 + - 1 |
PD = | - 6 |
PD = 6 units.
Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
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Question 1/21
Lilian has 12 apples and Maria has 6
apples. Lilian gives half of her apples to
Sebastian. Sebastian gives 2 apples to
Jose. Maria gives 2 apples to Jose.
Sebastian gives half of his remaining
apples to Maria. Maria gives 1 apple to
Lilian.
How many apples does Maria have?
The number of apples Maria has after giving 1 apple to Lillian at the end is is 5 apples.
Given data:
The expressions representing the change in values of the apples are:
Lilian starts with 12 apples, and she gives half (6 apples) to Sebastian. She now has 12 - 6 = 6 apples.
Sebastian starts with 6 apples and gives 2 apples to Jose. He now has 6 - 2 = 4 apples.
On simplifying the expressions:
Maria starts with 6 apples and gives 2 apples to Jose. She now has 6 - 2 = 4 apples.
Sebastian gives half of his remaining apples (4 / 2 = 2 apples) to Maria. Maria now has 4 + 2 = 6 apples.
Maria gives 1 apple to Lilian. She now has 6 - 1 = 5 apples.
Hence, at the end of the given actions, Maria has 5 apples.
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You have 10 quarters that you can use for a parking meter.
a. Copy and complete: Each time you put 1 quarter in the meter, you have 1 less quarter, so ? is a function of ?
b. Write a rule for the number y of quarters that you have left as a function of the number x of quarters you have used so far. Identify the domain of the function.
c. Make a table and identify the range of the function.
a) "how many quarters you have is a function of how many times you paid for the parking meter."
b) y = 10 - x
domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
c) table:
x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
y: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
How to complete the blanks?Here we know that you have a total of 10 quarters, and the parking meter costs 1 quarter.
Then, each time if we define two variables:
y = how many quarters you have.
x = how many times you paid for the parking meter.
We can write:
"y is a function of x"
Or:
"how many quarters you have is a function of how many times you paid for the parking meter."
b) The rule is really simple, it would be a linear relation:
y = 10 - x
The domain (the set of possible values of x) is:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
You can't use less than 0 quarters and you can't use more than 10.
c) The range is also:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Which represents the possible numbers of quarters that you can have.
And the table will be:
x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
y: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
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