Answer:
X=1.5
Y= -0.5
Step-by-step explanation:
3X+Y=4
Y=4-3X
5X-7Y=11
5X-7(4-3x)=11
5X-28+21X=11
26X=11+28
26X=39
X=1.5
Y=4-3(1.5)
Y=4-4.5=(-0.5)
Answer:
x=1.5 y=-0.5
Step-by-step explanation:
first we want to rearrange one of the equations
we will rearrange 3x+y=4 we will do this by subtracting 3x from both sides
y= -3x+4
and replace y in the second equation 5x-7y=11
5x -7(-3x+4)=11
we will distribute -7
5x+21x-28=11
solve for x
26x=39
x=1.5
and solve y by substituting x into one of the equations
y= -3(1.5)+4
y=-0.5
Water is building up in a bathtub. After 3 minutes there are 12 gallons of water and after 5, there are 24 gallons of water. What is the average rate which water is entering the bathtub from t=3 to t=5 minutes? What is the average rate? Show work.
Answer:
i think it's 15 gallons
The elevation of Houston,Texas is on average 614 feet above sea level. The elevation of Desert Shores, California is 61 feet below sea level. What is the difference in elevation between the two cities? Show your work.
Answer: 675ft
Step-by-step explanation: 614 + 61 (since it’s below sea level) =675ft
If 3x-7=5x, what is 6x?
Answer:
6x = - 21
Step-by-step explanation:
Given
3x - 7 = 5x ( subtract 3x from both sides )
- 7 = 2x
Then
6x = 3 × 2x = 3 × - 7 = - 21
For 5 months Tomas buys 4 boxes of crunchy granola bars and 3 boxes of chewy granola bars for his family.
Crunchy bars come in x bars and chewy granola bars come in y bars. Which two expressions can be used to
show the total number of granola bars Tomas buys.
x bars <4> and y bars come in <3>
Answer:
5(4x + 3y) = 20x + 15y
Step-by-step explanation:
The matter of months in which in this case is 5 months is the coefficient.
The amount of boxes per month is important information. We don't know how many bars are in each box. EACH is a key word for multiplying. If we want to know quickly how many bars are in 4 boxes (or 3) of the granola bars. We can simply multiply the amount of bars for each box with the amount of boxes. Since we don't know the amount of bars there are in each box we are going to use a variable. so it would look like this- 4x + 3y BUT we need to add the coefficient. Now rewrite the expression. 5(4x + 3y)
We can use the distributive property to generate an equal expression.
Is it ever possible for adjacent angles to also be vertical? Why or why not?
Yes
Step-by-step explanation:
Because adjacent angles are vertical angles since they both have intersecting lines
if RG = 4X+12 and HI = 10x-15, then x =
15203 + 10x2 - 183 – 12
O 3 (5.22 – 6) (2 – 2)
O (522 – 6) (3x + 2)
0 (52+ 6) (3x + 2)
o (582 – 6) (522 +2)
Answer:
the second one!
Step-by-step explanation:
Help me plzzzzzz!!!!!
A family adopts a puppy that weighs 7 7/8 lbs. they take him to the vet 2 weeks later, and he weighs 12 3/16 pounds.How much weight did he gain.
Answer:
4.625 lbs or 4 5/8
Step-by-step explanation
12 3/16- 7 7/8=
Answer:
the answer is 4 and 5/16
Step-by-step explanation:
Okay I have reposted the question. Please help me ASAP
Answer:
angle 9
Step-by-step explanation:
A cylinder has a height of 4 yards. Its volume is 452.16 cubic yards. What is the radius of the cylinder?
Answer:
Step-by-step explanation:
V = π times r^2 times h (height)
452.16 = 3.14 times r^2 times 4
Multiply 3.14 times 4
452.16 = 12.56 times r^2
Divide 452.16 by 12.56.
452.16 / 12.56 = 36
36 = r^2
The square root of 36 is 6.
So the radius of the cylinder is 6 yards^3.
Honestly if anyone could help be understand how to solve these by factoring, that would be great! Thank you!
Answer:
1) Option 3
2) Option 3
3) Option 3
4) Option 1
5) Option 2
6) Option 3
7) Option 1
Step-by-step explanation:
1) [tex]y = x^2 + 4x + 3[/tex]
Lets split the middle term.
[tex]=> y = x^2 + 3x + x + 3[/tex]
[tex]=> y = x(x+3) + 1(x + 3)[/tex]
[tex]=> y = (x+1)(x+3)[/tex]
∴ [tex]x = -3 , -1[/tex]
2) [tex]y = 8x^2 - 22x + 5[/tex]
Lets split the middle term.
[tex]=> y = 8x^2 - 20x - 2x + 5[/tex]
[tex]=> y = 4x(2x - 5) - 1(2x - 5)[/tex]
[tex]=> y = (2x - 5)(4x - 1)[/tex]
∴ [tex]x =\frac{1}{4} , \frac{5}{2}[/tex]
3) [tex]y = x^2 - 5x[/tex]
[tex]=> y = x(x - 5)[/tex]
∴ [tex]x = 0 , 5[/tex]
4) [tex]y = 12x^2 + 18x[/tex]
[tex]=> y = 6x(2x + 3)[/tex]
∴ [tex]x = \frac{-3}{2} , 0[/tex]
5) [tex]y = x^2 - 7x + 12[/tex]
Lets split the middle term.
[tex]=> y = x^2 -3x - 4x + 12[/tex]
[tex]=> y = x(x - 3) - 4(x - 3)[/tex]
[tex]=> y = (x - 3)(x - 4)[/tex]
∴ [tex]x = 3,4[/tex]
6) [tex]y = 3x^2 + 10x + 8[/tex]
Lets split the middle term.
[tex]=> y = 3x^2 + 6x + 4x + 8[/tex]
[tex]=> y = 3x(x + 2) + 4(x + 2)[/tex]
[tex]=> y = (x + 2)(3x + 4)[/tex]
∴ [tex]x = -2 , \frac{-4}{3}[/tex]
7) [tex]y = x^2 - 4x - 45[/tex]
Lets split the middle term.
[tex]=> y = x^2 - 9x + 5x - 45[/tex]
[tex]=> y = x(x - 9) + 5(x - 9)[/tex]
[tex]=> y = (x - 9)(x + 5)[/tex]
∴ [tex]x = -5 , 9[/tex]
How do you know to which group an 8-year-old belongs, those
who must be accompanied by an adult or those who do not need
to be accompanied by an adult? Explain.
Answer:
Those who do not need to
Step-by-step explanation:
i would say this because they are old enoght to know how to do things by them self althought it does depend on who
Which expression is equivalent to -g-7+3g-6
a. - 4g - 13
b. - 8g - 3
c. -13 + 2g
d. - 4g - 1
Answer:
c. -13 + 2g is the correct option.
if f(x) =2x-6 then f(1)=
Answer:
f(1) = -4
Step-by-step explanation:
Given that,
f(x) = 2x-6
We need to find the value of f(1).
Put x = 1 in the above expression.
f(1) = 2(1)-6
= 2-6
= -4
So, the value of f(1) is equal to -4.
What is the reason for each step in the solution of the equation?
2x=−4(x−3)
Drag and drop the reasons into the boxes to correctly complete the table.
Write a equation that is equivalent that only uses addition
- 3x-8y-4-2
Answer:
Step-by-step explanation:
-3x - 8y - 2
help help pls pls pls
Answer:
x = 13.6 in
Step-by-step explanation:
The arc x is calculated as
x = circumference of circle × fraction of circle
= 2πr × [tex]\frac{0.8}{2\pi }[/tex] ( cancel the 2π on numerator/ denominator )
= 17 × 0.8
= 13.6 in
If you wanna be Dora then please help me!
Liu is making a rabbit pen. The graph shows where he plans to place it in his backyard. Each unit on the graph represents 1 foot.
The length of the side between U and T is _______ feet.
Enter the number only.
Answer:
I think tge answer would be 24 I am not for sure
what’s the value of e?
Answer:
e = 129
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
e is an exterior angle of the triangle , then
e = 60 + 69 = 129
A group of seven people went to an amusement park and spent $234 on tickets. If
a child's ticket costs $28 each and an adult ticket costs $37.50 each, how many
adult tickets and how many child tickets were purchased?
Answer:
3 adult tickets and 4 child tickets were bought.
Answer:
4 adult tickets and 3 child tickets
Step-by-step explanation:
So doing 234/7 gives you 33.428... which means its not all just children or adults. (I know that's common sense but it's best to do this anyway to further justify your answer)
The total cost for all 7 people shows that there must be an even amount of adult tickets to end up with a whole number so either 2, 4, or 6 adults.
2 adults = $75
4 adults = $150
6 adults = $225
Now we can use these possibilities to figure out if the left over child tickets added to the adult tickets would equal $234. (quick note: I am using # to show that it doesn't equal $234)
If 2 adults = $75, 5 children = $140, $140+$75 = $215 # $234
If 4 adults = £150, 3 children = $84, $84+$150 = $234
Now because we have already figured out that it would be 4 adult tickets and 3 child tickets, we wouldn't need to figure out 6 adult tickets and 1 child ticket, but, again, this would justify your answer and help to secure your marks.
If 6 adults = $225, 1 child = 28, $28+$225 = $253 # $234
I hope this answer helped you out and if you have any questions I'd be happy to help :)
Help as soon as possible!!
Answer only if you know!
At least answer one of them!
Answer:
c) x=1.23
Step-by-step explanation:
a =3
b=2
c=-7
use quadratic equation where
[tex] { ax}^{2} + bx + c = 0 = \frac{ - b \: + or \: - \sqrt{ {b} ^{2} - 4ac} }{2a} [/tex]
-2+/- square root of (2^2- (4×3×-7) ) all that over 2x3
square root of (2^2-(4×3×-7) )
= 9.38083152
2×3=6
-2+or - 9.38 all that divided by 6
-2+9.38= 7.38÷6
x=1.23
or
-2-9.38 all divided by 6
-2-9.38= -11.38 ÷6
x= -1.9
all in all x can't be negative meaning x=1.23
the points (-15, -3) and (-7, -1) both lie on the graph of the linear function y =f(x). What is the rate of change of f(x) with respect to x?
F: 4
H: 1/4
G: -4
J: - 1/4
Answer:
Step-by-step explanation:
The rate of change, m, is defined as
m=(y2-y1)/(x2-x1), in this case we have points (-15,-3) and (-7,-1) so
m=(-1+3)/(-7+15)
m=2/8
m=1/4
describe the vertical shift of Y=x^2-9
Answer:
ok so i dont know exactly what the answer is but this khan academy video will help just search.
describe the vertical shifted of y x 2 9 units
London is working two summer jobs, making $7 per hour babysitting and making $13 per hour landscaping. In a given week, she can work no more than 14 total hours and must earn at least $130. Also, she must work at least 2 hours babysitting and no less than 8 hours landscaping. If xx represents the number of hours babysitting and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
7,8,9,10
I HOPE ITS HELP
THANK YOU
Choose the correct solution for the inequality:
-4x + 5 >-5
A: x < 2.5
B: X > 2.5
C: X <-2.5
D: X > -2.5
Answer:
A
Step-by-step explanation:
We have -4x > -10, so 4x < 10
Answer:
A. x < 2.5
Step-by-step explanation:
you subtract 5 on both sides
then you get -4x > -10.
then you divide -4 on both sides
and you get x<2.5
I need help very fast please !
Answer:
Step-by-step explanation:
I like answer 3.... the series will add to 1/3 eventually
Answer:
Contents of this laser is 0.744 um and the mass of the earth
Help me plz :((( khan academy
Answer:
[tex]x=30\\[/tex]
Step-by-step explanation:
Answer:
x = 30
Step-by-step explanation:
[tex]\frac{45}{27} = 1.67\\[/tex]
1.67 x 18 = 30.06
round to the nearest whoeo number = 30
Find the value of x.
Answer:
x= 48
exterior angle theorem
-12+48 = 36
48x3= 144
36+134= 180
Points A and B have the same x-coordinates but opposite y-coordinates.
How many units away are each of the points from the y-axis?
A.3
B.4
C.6
D.7