Answers
Answer:
(4.91, 3.5)
Step-by-step explanation:
6x+21y=103
+
-6x+23y=51
=
44y=154
y=3.5
6x+21(3.5)=103
6x+73.5=103
6x=29.5
x=4.91
(4.91, 3.5)
Answer:
The answer is (4,6) because you would have to eliminate the -6 and 6 to get the y which would be 24y and then divide 154/24 which is roughly 6 and then put that in to get x which is roughly 4
you can also use elimiation for y as well
Related Questions
What is the slope of a line perpendicular to the line whose equation is
10x - 12y = -24. Fully reduce your answer.
Answers
Answer:
The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe product of the slopes of the perpendicular lines is -1. which means if the slope of one of them is m, then the slope of the other is [tex]-\frac{1}{m}[/tex]∵ The equation of the given line is 10x - 12y = -24
→ We need to form this equation as the form above to find m
→ Subtract 10x from both sides
∵ 10x - 10x - 12y = -24 - 10x
∴ - 12y = -24 - 10x
→ Divide both sides by -12
∴ [tex]\frac{-12y}{-12}=\frac{-24}{-12}-\frac{10}{-12} x[/tex]
∴ y = 2 - ([tex]\frac{-5}{6}[/tex]) x
→ Remember that (-)(-) = (+)
∴ y = 2 + [tex]\frac{5}{6}[/tex] x
∵ y = m x + b
∴ m = [tex]\frac{5}{6}[/tex]
∴ The slope of the given line is [tex]\frac{5}{6}[/tex]
→ To find the slope of the perpendicular line reciprocal it and change
its sign
∵ The reciprocal of [tex]\frac{5}{6}[/tex] is [tex]\frac{6}{5}[/tex]
→ Change its sign from + to -
∴ The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
The slope of the line perpendicular to the line whose equation is
10x - 12y = -24 is - 6 / 5
The slope intercept form is represented as follows;
y = mx + b
where
m = slope
b = y-intercept
Therefore,
10x - 12y = -24
10x + 24 = 12y
12y = 10x + 24
divide through by 12
12y / 12 = 10 / 12 x + 24 / 12
y = 5 / 6 x + 2
The slope of this equation is 5/6.
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 5/6 = -1
m₁ = - 6 / 5
learn more on linear equation: https://brainly.com/question/21010397?referrer=searchResults
Diego has a standard 52 card playing deck, which includes 13 heart cards, 13 spade cards, 13 diamond cards, and 13 club cards. If he draws one card at random, what is the probability that the card will be a heart?
20%
50%
30%
25%
Answers
Answer:
Step-by-step explanation:
52/4=13
13+13+13=39
13/52=.25
.25*10=25%
Lisa purchased a prepaid phone card for $30. Long distance calls cost 13 cents a minute using this card. Lisa used her card only once to make a long distance call. If the remaining credit on her card is $26.49, how many minutes did her call last?
Answers
Answer:
27minutesStep-by-step explanation:
Firstly, let us calculate the amount spent
amount spent=30-26.49
amount spent=3.51
the expression for the total amount spent is given as
y=c-mx
let us convert 13cents to dollar= $0.13 extra charge per minute
we can see that x is the number of minutes
therefore
26.49=30-0.13x
26.49-30=-0.13x
-3.51=-0.13x
x=3.51/0.13
x=27 minutes
the last call was 27minutes
In the first 42 super bowls, 0.16 of the MVP's (most valuable players) were running backs. a. What percent of th MVP's were running backs? Write the percent as a mixed number.
Answers
Answer:
Percent of MVPs that were running back is 16.6%
The percent as a mixed number is 16 6/10% or 16 3/5%
5/6 of the MVPs were not running backs
Step-by-step explanation:
Here is the complete question:
In the first 42 Super Bowls, 0.16(repeating sign over 6) of the MVPs (most valuable players) were running backs. a. What percent of the MVPs were running backs? Write the percent as a mixed number. b. What fraction, in simplest form, of the MVPs were not running backs?
Step-by-step explanation:
From the question, 0.16(repeating sign over 6) of the MVPs were running backs. Since there is repeating sign over 6, then, we can say 0.166 of the MVPs were running backs.
a. To determine what percent of the MVPs were running running back, we will multiply 0.166 by 100%.
Hence, Percent of MVPs that were running back = 0.166 × 100% = 16.6%
To write the percent as a mixed number,
16.6 = 16 + 0.6 = 16 + 6/10 = 16 6/10 = 16 3/5
∴ 16.6% = 16 3/5%
Hence, the percent as a mixed number is 16 6/10% or 16 3/5%
b. To determine what fraction of the MVPs were not running backs, that will be
1 - 0.16(repeating sign over 6) = 0.83 (repeating sign over 3)
0.83(repeating sign over 3) as a fraction is 5/6
Hence, 5/6 of the MVPs were not running backs
Please help ASAP!!!!!!
Answers
Answer:
3
Step-by-step explanation:
Answer:
f(2) =3
Step-by-step explanation:
According to the image :
f(x) .
When x = 0 , f(x) =4
When x = 1 , f(x)= 2
When x =2 , f(x) =3
Vice-versa
Solve for y: y = mx + b
Answers
Sara puts $4000 into an investment yielding 5% annual simple interest; she left the money in for five years. How much interest does Sara get at the end on those 5 years?
Answers
Answer:
1000
Step-by-step explanation:
4000.
5% annual, so 5x5=25
4000 of 25%
1000
Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 0.8÷0.6 is about ?
Answers
Answer:
the answer is 1.33
Step-by-step explanation:
Warm-Up
After reading "The Human Microbiome" article, you learned that there are trillions of bacteria in the human microbiome. Which of these statements do you agree with most right now? (check one)
(A) Bacteria are disgusting! Most bacteria in the human microbiome are harmful.
(B) Bacteria are great! Most bacteria in the human microbiome are helpful.
(C) I'm not sure! Bacteria are kind of disgusting, but some of them might be helpful.
What other interesting things did you learn from reading "The Human Microbiome"?
Please help me. WHOEVER ANSWERS THIS FIRST WINS BRANIEST
Answers
B. Move on from here
write a equation of the line that passes through each set of points in slope intercept form 2,-1 -4,5
Answers
Answer:
323-21=221 BC OF SUBTRACTION reduces the nuber of 232
Step-by-step explanation:
A line passes through the point (-2,-9) and is parallel to 5x - y = 7. What is the equation of the line?
Answers
Answer:
y = 5x + 1
Step-by-step explanation:
5x - y = 7
y = 5x - 7
Gradient = 5
Gradient of the line passing through point (-2,-9)
= 5
i.e it is parallel to line 5x - y = 7
Equation of the line is given as:
y - (-9) = 5(x - (-2))
y + 9 = 5x +10
y = 5x + 1
y=5x+1
What is slope in straight line?
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.
y-y1=m(x-x1)
mm1=-1
Given line,
5x-y=7
y=5x-7
slope, m=5
Since, the new line that passes through the point (-2,-9) is parallel to the line 5x-y=7, the slope of the new line will be the same.
Therefore, slope of the new line will be = 5
Now, equation of line is
y-y1=m(x-x1)
Putting the values,
y-(-9)=5(x-(-2))
y+9=5(x+2)
y+9=5x+10
y=5x+1
therefore, our line equation is y=5x+1
Read more about slope in straight line at:
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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books. A total of 10 boxes were sent which can hold 375 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.
Answers
Answer: Number of small boxes = 7, Number of large boxes =3
Step-by-step explanation:
Let x= Number of small boxes , y = Number of large boxes.
As per given , 30x+55y=375 (i)
x+y=10 (ii)
Multiply (ii) by 30, we get
30x+30y=300 (iii)
Eliminate (iii) from (i), we get
25y=75
⇒ y= 3 [Divide both sides by 25]
Put y=3 in (ii), we get
x+3=10 ⇒ x=7
Hence, Number of small boxes = 7, Number of large boxes =3
The triangles below are similar.
therefore x = ?
Answers
Answer:
x = 6.
Step-by-step explanation:
JK = JG + GK = 6 + 4 = 10
Scalar factor(k) = JK/JG
k = 10/4 = 5/2
Scalar factor (k) = JL/GH
5/2 = x/15
5 × x = 2× 15
5x = 30
hence x = 6
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 4x - 10.
Answers
Answer:
(2, -6)Step-by-step explanation:
[tex]f(x)=-x^2+4x-10\\a=-1\,,\ \ b=4\\\\[/tex]
Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:
[tex]h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\h=\dfrac{-4}{2\cdot(-1)}=2\\\\k=f(2)=-2^2+4\cdot2-10=-4+8-10=-6[/tex]
find the hypotenuse
a=8,b=15, c=
Answers
Answer:
17
Step-by-step explanation:
a^2+b^=c^c
A store sells 12 cans of soup for 7.50 how much will it cost for 6 cans of soup
Answers
Answer:
answer is 3.75 step-by-step explanation:
750÷2= 375 ..3.75
. One box of noodles is needed to make 2 trays of lasagna. What is the ratio of jars of sauce to boxes of noodles for this lasagna?
Answers
Answer:
1 : 2
Step-by-step explanation:
1 2
___ = 1 :2
1 1
The ratio of the jars of sauce to boxes of noodles for this lasagna is 1:2
A flower seed was planted 12 inches underground. It began growing 4 inches every week.
Answers
Answer:
12 + 4x
Step-by-step explanation:
It already had a starting point of 12 inches. So we add 12 to its height. Then we have 4x, x representing the number of weeks that have passed, and 4 meaning that it is growing 4 inches every week. This is why the answer is 12+4x in case you are looking for an expression
write an equation of the direct variation that includes (3, 51)
Answers
Answer:
51/3 = 17 if you put 3 inside of 51 would see how many times 3 goes into 51 and u get to ur answer
On my chart for class it has 10 then a other side with 95 and i have to figure out what 10 divided by something gets 95 and i have no clue
Answers
Answer:
950 divived by 10 gets u 95
Step-by-step explanation:
Which equation best matches the graph shown below?
Submit Answer
y=(+6)2 - 2
y = -(x + 6)² - 2
y = -(20 - 6)2 - 2
y = (x - 6)2 - 2
Answers
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answers
Answer:
12
Step-by-step explanation:
50-23=27
27÷3=9
12 x .25 = 9
9 is the after price
12 is the before price
An
Step-by-step explanation:
i think its 12
Describe the pair of angles shown in the figure.
Answers
Answer:
D
Step-by-step explanation:
As, complementary angles are those which add up to 90°,but those add up to 100°.So not option A
And it not supplementry angles because tge angles that add a 180°,so not option B
And not vertical, because if it was vertical then both of the angles would be equal so not option C
It is D because they both are adjacent to each other, therefore it is option D
The pair of angles shown in the figure will be Adjacent angles. Then the correct option is D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Adjacent angle - When corresponding sides have a similar vertex and edge, they are referred to as Adjacent angles.
Then the pair of angles shown in the figure will be Adjacent angles.
Then the correct option is D.
More about the angled link is given below.
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Hana first decides to host a tea party. She has 60 tea sandwiches and 48 scones to serve. What is the greatest amount of people she can host, such that there will be no leftovers AND each person will receive the same number of sandwiches and scones, respectively?
Answers
Answer:
12
Step-by-step explanation:
She can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
Given that She has 60 tea sandwiches and 48 scones to serve
We have to determine the Greatest Common Factor (GCF) between 60 and 48
We need to write 60 and 48 as the product of their prime factors,
⇒ 2 × 2 × 3 × 5.
⇒ 3 ×2 × 2 × 2 × 2.
Here the Greatest Common Factor (GCF) is 12.
Thus, she can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.
Learn more about the Factorization here:
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I need some help here!
Answers
Answer:
She uses 220 pounds of cheese and lettuce.
2000/10 = 200 + 2000/100 = 20
200 + 20 = 220
just ask me in the comments if you need a better explanation
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
△QDJ≅△
Answers
Answer:
△QDJ≅△MCW
Hope this helps
Answer:
MCW
Step-by-step explanation:
im asking this again cuz no one answered my last question
it is a term with no literal coefficient
a. numerical
b. leading
c. constant
d. literal
Answers
Answer:
I think it might be a constant
Given f(x)=x^2-4x+4 find the value(s) for x such that f(x)=25
Answers
x=-7
hope this helps
F(x) = (x-2)^2 = 25
Next, take the root of each side:
(x - 2) = +/- 5
So now we are left with two functions:
x - 2 = 5
x - 2 = -5
These yield the results
x = -3 & x = 7
So, for x = -3 & x= 7, f(x) will equal 25.
How many complex roots does the polynomial equation have?
-3x4 – 7x + 17 = 0
2
3
4
5
Answers
Answer:
4
Step-by-step explanation:
The 250m between Sam's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between Sam's school and the library if they are 8.4 cm apart on the same map?
Answers
Answer:
420m
Step-by-step explanation:
250÷5=50
1cm=5m
5×8.4=420m
Answer:
420 meters bestie
Step-by-step explanation:
