Answer:
Step-by-step explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).
4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.
What is perpendicular equation?A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes.
Given
x + 4y = 10
∴ 4y = -x + 10
∴ y = [tex]\frac{-1}{4} x + \frac{5}{2}[/tex]
so y = 4x + b pass through the point (3, -1)
⇒ -1 = 4 × 3 + b
⇒ -1 = 12 + b
⇒ b = -1 - 12
⇒ b = -13
∴ y = 4x -13
4x - y = 13
Hence, 4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.
Find out more information perpendicular equation here
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amy borrowed money from the lending company at 6% interest if she paid an interest of php450.00 after 19months how much money did she borrow
Answer:
She borrowed php4737.00.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
6% interest:
This means that [tex]I = 0.06[/tex]
19 months:
An year has 12 months, so [tex]t = \frac{19}{12} = 1.5833[/tex]
She paid an interest of php 450. How much money did she borrow
This is P when [tex]E = 450[/tex]. So
[tex]E = P*I*t[/tex]
[tex]450 = P*0.06*1.5833[/tex]
[tex]P = \frac{450}{0.06*1.5833}[/tex]
[tex]P = 4737[/tex]
She borrowed php4737.00.
Pls help extra points and mark brainlist
Answer:
20 + 35x
Step-by-step explanation:
We have the expression 5(4 + 7x) and are asked to distrbute it.
When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.
Therefore :
(5(4) + 5(7x))
20 + 35x
5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?
Answer:
24
Step-by-step explanation:
384÷16= 24
Can you help me with my math?
Answer:
y = -3x - 1
Step-by-step explanation:
First find the slope then the Y-intercept
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
Need help !!! Please and thank you
Find all zeros of the equation 0 = x ^ 2 - x - 12
Answer:
x=4,-3
Step-by-step explanation:
Find the roots of 0 = x ^2 − x − 12 by solving for x .
Answer:
3 zeros
Step-by-step explanation:
(-7) + b = -12
what is b?
Answer:
it would be -5, because when they are the same signs, you keep the sign and add the numbers, so -7 +-5=-12
Step-by-step explanation:
Evaluate the expression below.\
(4.4+7.6)x-(24/12)x
Answer:
10x
Step-by-step explanation:
Answer:
10x
Step-by-step explanation:
The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.
13 13 13 20 26 26 29 31 34 34 35 35 36 37 38
41 41 41 42 43 46 47 48 49 53 55 56 62 67 82
Required:
a. Determine the first and third quartiles.
b. Determine the second decile and the eighth decile.
Answer:
The answer is below
Step-by-step explanation:
When computing quartile and decile, the data must be arranged in ascending order.
Given the data points:
13 13 13 20 26 26 29 31 34 34 35 35 36 37 38 41 41 41 42 43 46 47 48 49 53 55 56 62 67 82
The numbers are arranged in ascending order. The total number of terms is 30.
a)
[tex]First \ quartile(Q_1)=\frac{1}{4}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\Q_1=\frac{1}{4}(30+1)=7.75^{th}\ term=average\ of\ 7th\ and\ 8th\ term=\frac{29+31}{2} =30\\\\Q_1=30\\\\Third \ quartile(Q_3)=\frac{3}{4}(n+1)^{th}\ term\\\\Q_3=\frac{3}{4}(30+1)=23.25^{th}\ term=average\ of\ 23rd\ and\ 24th\ term=\frac{48+49}{2} =48.5\\\\Q_3=48.5[/tex]
b)
[tex]Second \ decile(D_2)=\frac{2}{10}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\D_2=\frac{2}{10}(30+1)=6.2^{th}\ term=average\ of\ 6th\ and\ 7th\ term=\frac{26+29}{2} =27.5\\\\D_2=27.5\\\\\\Eight \ decile(D_8)=\frac{8}{10}(n+1)^{th}\ term=\frac{8}{10}(30+1)=24.8^{th}\ term\\=average\ of\ 24th\ and\ 25th\ term=\frac{49+53}{2} =51\\\\D_8=51[/tex]
PLS HELP DUE SOON ILL GIVE BRAINLESS
Answer:
if i'm doing it right then sin p, but i'm not entirely sure...sorry
Step-by-step explanation:
Answer:
Cos P
Step-by-step explanation:
there's no way this can be sin so that cancels out to answers because this is a 90 60 30 triangle It can't be R because either way that's never going to equal Q
( maybe wait for second opinion)
Hope I helped!!
pwease answer dis for me pweez, show work too..... :((
Answer:
It does show direct variation.
Step-by-step explanation:
Every hour, you receive $8.50. This doesn't change throughout the entire table. On a graph, this would look like a line going through the origin, with points at (1, 8.5). (2, 17), (3, 25.5), and so on.
Me. Strand mowed 3/8 of his lawn. His son mowed 1/3 of it. Who mowed most of the lawn? How mush of the lawn still needs to be mowed?
If 30 is the total number of starbursts in a bag, how many starbursts are 70% of the bag?
Solve this please. (Number 3)
Answer:23
Step-by-step explanation:
18 = 3 (3x - 6) help please!
Answer: 4
Step-by-step explanation:
F(x)= square root 2x g(x)= square root 18x find (f * g) (x). Assume x>0
Answer:
answer is A. (f.g) (x) = 6x
HELP ASAP !! During one team's session, the ratio of the number of games the team won to the number of games the team played was 4 to 12. The team played 42 games. How many games did the team win? A) 17 Games. B) 11 Games. C) 10 Games or D) 14 games.
Answer:
In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?
Step-by-step explanation:
5m - 4z + 8m + 3 – 2z
Answer:
Step-by-step explanation:
5m+8m= 13m
-4z-2z= -6z
+3
= 13m-6z+3
Answer:
13m - 6z + 3
Step-by-step explanation:
Ivan is making brownies from a boxed mix. He wants to combine 2 boxes. 1 box calls for ½ of a cup of water. The other calls for ⅓ of a cup of water. How much water will Ivan need to make brownies from both boxes?
Answer:1/56
Step-by-step explanation:
Yeah- I need help please
-3r - 13
r = 2
Answer:
The answer should be -19
Step-by-step explanation:
-3r - 13 = ?
-3(2) - 13 = ?
-6 - 13 = ?
-19 = ?
PLEASE HELP ME this is a 7th grade math test
Answer:
is there a picture or something
Step-by-step explanation:
or like some equation? Im in 7th grade too but i need a picture in order to help you So when u get a picture i edit my anwser and help you
A $65.00 coat is now on sale for $52.00. What percent discount is given.
65-52=13
13x100
65 = 20%
the discount is given 20%
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Step-by-step explanation:
y2 - y1 / x2 - x1
2 = 5 - y / (3 - 1)
4 = 5 - y
y = 1
So the line with slope 2 passes through the points (1,1) and (3,5).
Hope this helps!
what is the product of 2/1 and (-2/3)?
Answer: -4/3 or - 1 1/3
Step-by-step explanation: 2 times -2 = -4 and 3 times 1 is 3.
Help
Don’t use for points or will take it back
Answer:
60°
Step-by-step explanation:
Angles in a triangle add up to 180°
80°+40°=120
180-120=60°
Answer:
60
Step-by-step explanation:
The angles of the traingle must add up to 180 which means that
40+80+x=180
Solve for x
120+x=180
60=x
Write 60% as a
fraction in lowest terms.
Answer:
3/5
Step-by-step explanation:
60%
write as fraction 60/100
simplfy by 20 60÷20= 3
100÷20= 5
How do we find the measure of one interior angle of a poly?
Answer:
In order to find the value of the interior angle of a regular polygon, the equation is (n−2)180∘n where n is the number of sides of the regular polygon
Hope that helped
Find an equivalent fraction to 5/6 only.
Answers:
A) 2/4
B) 10/12
C) 11/6
D) 20/24
E) 50/60
Answer:
B D and E
Step-by-step explanation:
Remark
It's hard to know how to tackle this. I suppose the easiest way is to divide the numerator and denominator by a common factor.
2/4
The common factor is 2
Divide the 2 by 2 and the 4 by 2
2/2 = 1
4/2 = 2
The fraction reduces down the 1/2 which is not 5/6
10 / 12
The common factor is 2.
10/2 = 5
12/2 = 6
Looks like this is your answer. But is it the only one.
11/6
These two have no common factor. The answer is 11/6 which is not 5/6
20 / 24
The common factor of these two is 4
20/4 = 5
24/ 4 = 6
This is also = to 5/6
50 / 60
The common factor is 10
50/10 = 5
60/10 = 6
That's equal to 5/6 as well.
4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.
they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer