Answer:
y = -54 + 60
Step-by-step explanation:
multiply 6 and -9 to get -54 (6)(-9) = -54
then subtract -54 from 6 to get 60 6 - (-54) = 60
then put it in equation form as, b = 60, and x = -54
y = -54 + 60
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The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line is (-9, 6).
And, The slope = 6
Now,
Since, The equation of line passes through the point (-9, 6).
And, Slope of the line is,
m = 6
Thus, The equation of line with slope 6 is,
⇒ y - 6 = 6 (x - (-9))
⇒ y - 6 = 6 (x + 9)
⇒ y - 6 = 6x + 54
⇒ y = 6x + 54 + 6
⇒ y = 6x + 60
Therefore, The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
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Susan was supposed to use 5/4 of a cup of butter
in her recipe, but she only used 3/4 of a cup of butter.
a. What fraction of the butter that she should
have used did Susan actually use? Make a
math drawing to help you solve this problem
and explain your solution.
b. Describe the different unit amounts that occur
in part (a). Discuss how one amount can be de-
scribed with two different fractions depending
on what the unit amount is taken to be.
Answer:
[tex]a.\ \dfrac{3}{5}[/tex]
Step-by-step explanation:
We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.
It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].
Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.
Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.
i.e. 5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]
a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]
Alternatively, we could have directly divided the given fractions:
[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]
The fraction of the butter that she should have used did Susan actually use is :
Fractions =5/4 and 3/4 of cups.
Denominator = 4 i.e. the fraction 1/4
Let us suppose,
A unit is equal to 1/4 of a cup.
Susan was supposed to use 5/4 of a cup.
5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
Fraction of butter used=unit of butter used/unit of butter
that was supposed to
be use
=3/4/5/4
=3/5
The fraction of the butter that she should have been used is 3/5.
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Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Answer:
A
Step-by-step explanation:
Got it right
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?
Answer:
$1.12
Step-by-step explanation:
When you multiply 8/7 of 56, you get 64.
This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents
PLEASE HELP NOW ITS DUE IN 5 MIN ONLY ANSWER S4 PLEASEEE
Answer:
R1 subtraction R2 distrivution S4 9x=61 R5 division
Step-by-step explanation:
Express 610.47 in unit form.
Answer:
6 hundreds
1 tens
0 ones
4 tenths
7 hundredths
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
Simpty to create an ealent expression
8k-5(-5k+3)
Answer:
Tge answer:8k+25k-15
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
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Write the equation of the line that passes through the given points.
(0,5) and (-2,-4)
Answer:
[tex]y=\frac{9}{2}x+5[/tex]
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}[/tex]
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
[tex]y=\frac{9}{2}x+5[/tex]
which would be our equation.
I hope this helps. Happy studying.
George is making an xylophone. So far, he has bars that are 1.75 feet, 1 and 7/12 feet, and 1 2/3 feet long. What is the length of the longest bar.
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
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Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
Christopher wanted to save some money. After 4 weeks, Christopher $50, and after 9 weeks, he saved $100. What was the average amount Christopher saved per week? * A.5 B.50 C.12.5 D.10
Step-by-step explanation:
I think 12.5 is the answer
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h. b How many minutes after the two cars start traveling will one car lap the other for the second time?
Answer:
200 minutes
Step-by-step explanation:
So we know that the speed is 92 km/h for the first car and 68 km/h for the second car. We do not know the time, but we do know that we need to convert it into minutes. The time for both cars would be x/60. Now we multiply speed by time and get distance. The first car would be 92 x/60 and the second would be 68 x/60, now we cross multiply and make an equation. 92x/60 - 68x/60 = 80, 24x = 80, x=200 minutes.
Write the rational number as a decimal -4 2/3
- 4.(6)
Step-by-step explanation:Hi there !
- 4 2/3 =
= - 4 6/9
= - 4.(6)
Good luck !
The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?
Answer:
9600/60 minutes = 9600/ 360 seconds = 26
Keep practicing :)
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
The reason is because you divide this number by 1,000 which gives you 9.6
9600 divided by 1,000= 9.6
When multiplying the factors 2/3 and 4/7 what is the product of the denominators
Answer:
21
Step-by-step explanation:
When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!
Answer:
21
Step-by-step explanation:
2/3+4/7= 8/21
the top number is the numerator and the bottom number is the denominator.
Consider the function f(x) = 3.x2 + 7x + 2.
what is the value of the discriminat?
Answer:
The Discriminant is 25
Step-by-step explanation:
For this case, the discriminant will be given by
b ^ 2 - 4 * a * c
Where
b = 7
a = 3
c = 2
substituting
b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
Therefore the value of the discriminant is 25.
How many x-intercepts does this function have?
It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
3x2 + 7x + 2 = 0
The results will be the interceptions with x.
What are the number of zeros for this function?
The number of zeros for this function is
two real number solutions
Because it is a quadratic function.
Help me please!!!!!!!!
Step-by-step explanation:
To solve the equation for s we've got to leave s alone
[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
apply the distrubtive property to simply the expression -3(6x+ 2)
Answer: -18x-6
Step-by-step explanation:
You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).
-3 x 6 = -18
-3 x 2 = -6
(+ -6 can be written as -6)
Solve for x: y=3mx-2b
Answer:
x=(y+2b)/3m
Step-by-step explanation:
y+2b=3mx
(y+2b)/3m=x
pls help i have 2 minutes find length
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
the martin family‘s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
Answer:
175
Step-by-step explanation:
7 times 25=175
Can you have say from us the aks place
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation: