What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?
Answer:
32 Students
Step-by-step explanation:
3/5 = 12/20
This means you add the boys and girls to get 32.
Phil collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday. He recorded the data in the scatterplot.
The title of the graph is saturday. One axis is labeled hours of video games. The other axis is labeled hours of sleep.
Based on the scatterplot, what is the best prediction of the number of hours one of Phil’s friends spends sleeping when the friend spends 1 hour playing video games?
9 hours
8 hours
10 hours
7 hours
Tye answer to this problem is 9 hours
Answer:
Step-by-step explanation:
It’s 9
#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.
Answer:
B), Between 6 and 7, but closer to 7
Step-by-step explanation:
The square root of 44 is around 6.6, so closer to 7
You can prove this by multiplying 6.6 by itself
6.6 x 6.6 = 43.56
Given slope = -5 & y-intercept = (0,0) write the equation
y=-5x
Step-by-step explanation:
which of the following equations represents the graph?
A. y = 3/4x - 3
B. y = 3/4x + 4
C. y = 4/3x - 3
D. y = 4/3x + 4
Answer:
D) 4/3 x + 4
Step-by-step explanation:
The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).
The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept
Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.
y2 - y1/x2 -x1
0 - 4/-3 - 0
-4/-3 = 4/3
Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.
The answer is 4/3x + 4.
Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?
Answer:
Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.
Step-by-step explanation:
There are 20 children in a class 45% are girls, How many girls and boys are there?
Answer:
Step-by-step explanation:
each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys
The number of girls is 9 and the number of boys is 11.
Important information:
Total number of students = 2045% of total students are girls.Percentage:Using the given information, the number of girls is:
[tex]20\times \frac{45}{100}=9[/tex]
Now, subtract the number of girls from the total number of students.
[tex]20-9=11[/tex]
Therefore, the number of girls is 9 and the number of boys is 11.
Find out more about 'Percentage' here:
https://brainly.com/question/813490
write the equation of the polynomials in factored form that has the following zeros: -8, -4, 5, 5, 2
Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?
Answer:
67
Step-by-step explanation:
(4*100)/6
=400/6
=66.67
Round to get 67
I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!
Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83
Step-by-step explanation: I hope this helped
What is a fraction form of $1.80?
Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:
1.80
1
What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.
To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!
In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.
Now we just need to do that multiplication to get our whole fraction:
1.80 x 100
1 x 100
=
180
100
The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)
Highest Common Factor (HCF)
Greatest Common Denominator (GCD)
The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.
In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:
180/20
100/20
=
9
5
And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:
1 4/5
Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.
Step-by-step explanation:
Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4
please help me this is due in a couple of minutes!!!!!! please help me.
Answer: A g (x)= [x+4]-2
Step-by-step explanation:
4x+28-12x=32 need it asap
Answer: look below.
x = −1/2
Answer
x=-0.5
Step-by-step explanation:
4x-12x=32-28
-8x=4
x=-0.5
in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c
pweese helppppppp meeeeeee
Answer:
No solution
Step-by-step explanation:
Graph these two equations and find a point where they intersect.
If they intersect, record the x values it intercepts. If it doesn't intersect, then it is no solution.
-4/5 divided by 1/3
Answer:
-12/5 or -2.4
Step-by-step explanation:
(-4/5) / (1/3) =
(-4/5) x (3/1) =
-12/5
-12/5 = -2.4
Answer:
[tex]\frac{-(\frac{4}{5})}{\frac{1}{3}} = -(\frac{4}{5}) * (\frac{3}{1} )= -\frac{12}{5}[/tex]
Step-by-step explanation:
1. Dividing fractions means multiplying the reciprocal-- so turn the fraction upside down and multiply by the first.
Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points
Solve y3 = 27.
A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3
Answer:
The answer is y=3
What’s the measure of angle X?
Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
[tex]\frac{h}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
y=3x+5 6x - 2y = -10
Answer:
Parallel?
Step-by-step explanation:
6x = 2y + 10
3x = y + 5 divide both sides by 2
y = 3x + 5/3
Sam slopes, different intercepts.
5(x + y)-3(x-y)=
Help please
Answer:
2x and 8y
Step-by-step explanation:
Distribute:
5*x=5x
5*y=5y
-3*x=-3x
-3*-y=3y
Combine:
5x+-3x= 2x
5y+3y= 8y
Hope this helps!!!
6(5x -3) PLEASE HELP THIS DUE TODAYYY
Answer:
-90
Step-by-step explanation:
given f^-1(36)=7, what value of x makes f(x)=36
Answer:
x =7
Step-by-step explanation:
[tex] {f}^{ - 1} (36) = 7 \\ \\ \implies \: 36 = {f} (7) \\ \\ f(x) = 36.... (given) \\ \\ f(7) = f(x) \implies \: x = 7[/tex]
What is the value of x if x^1/2=64^1/3
Answer:
x=16
Step-by-step explanation:
[tex]x^{\frac{1}{2} }=64^{\frac{1}{3 } }=(4^3)^{\frac{1}{3} }=4^{3 \times \frac{1}{3} }=4 \\squaring\\x=4^2=16[/tex]
pls please please answer !!!
Answer:
B) 120
Step-by-step explanation:
hope this helpssssss
A sixth-grade student bought three cans of tennis balls for $4 each. The sales tax for each can was $.95. Which expression(s) can be used to find the total amount the student spent. Select all that apply.
Given :
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
pls help i'll give branliest
Answer:
50
Step-by-step explanation:
good luck!!
Answer:
50
Step-by-step explanation:
hope its correct..............
What is the value of f(-4)?
f(-4) =_____
Answer:
it looks like -7
Step-by-step explanation:
i just went to x=-4 and went to the nearest point from there
hope this is correct and helps
which equation represents the line that passes through points (5, 4) and (-5, 0)
The equation should be [tex]y = 2\div 5x + 2[/tex]
Given that,
The points are (5, 4) and (-5, 0)Based on the above information, the calculation is as follows:
here we need to find the slope.
[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]
Now
Put in one point
[tex]4 = 2\div 5(5) + b, b = 2[/tex]
So,
[tex]y = 2\div 5x + 2[/tex]
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