Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 4solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
Use substitution to solve the system. 5X+3Y=22 Y=2X-11
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
[tex]y=2x-11\\5x+3y=22[/tex]
We can solve it by inserting our y value into the y value of the second equation.
[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]
Now that we know our x value, we can solve for y by inserting it into an equation.
[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).
Answer:
(5, - 1 )
Step-by-step explanation:
5x + 3y = 22 → (1)
y = 2x - 11 → (2)
Substitute y = 2x - 11 into (1)
5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side
5x + 6x - 33 = 22
11x - 33 = 22 ( add 33 to both sides )
11x = 55 ( divide both sides by 11 )
x = 5
Substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment
Answer:
130542
Step-by-step explanation:
FV=48000(2.7196)
FV=130542
a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week
Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches
Setting up the relationship thus :
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
Learn more : https://brainly.com/question/25625086
Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?
Invention of the distance options
6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Answer:
4.2
0.6
Step-by-step explanation:
The distance and midpoint between points D and E on the number line 4.2 and 0.6
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We need to find the distance and midpoint between points D and E on the number line.
Invention of the distance options; 6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Here the distance between points D and E on the number line
= 4.2
Thus, the midpoint between points D and E on the number line = 0.6
Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6
Learn more about midpoint here;
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How long does it take the ball to hit the ground when dropped from 50ft.?
I hope it's about 1.8 sec
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point
for example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Answer:
Neither
Step-by-step explanation:
Because the y intercepts, or the (point on the y axis) is different
May I please have brainliest?
If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?
Answer:1001
Step-by-step explanation:
Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
Hey can you check the problems I have done and explain the ones I don't
i cant see very clearly the paper, however here is everything i can see and how i think they should be solved:
Help me please........
Answer:
28 6
Step-by-step explanation:
count by four and six
use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____
Given: x=6
By substituting value of x as 6 in the given expression, we get:
[tex]f(6) = {x}^{3} - 6x + 1[/tex]
[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]
[tex]→f(6) = 216 - 36 + 1[/tex]
Now, using integer sign property,
[tex]→f(6) = 216 - 35[/tex]
[tex]→f(6) = 181[/tex]
Therefore, f(6)=181
Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how
Answer:
Below
Step-by-step explanation:
1. 3x+9=5
2. 3x+9-9=5-9
3. 3x=-4
5. 3x/3=-4/3
6. -4/3
7. -1 1/3
Answer:
The answer is -4/3 or - 1 1/3
Step-by-step explanation:
3x+9= 5
-9 -9
3x = -4
/3 /3
Y= -4/3 or [tex]-1\frac{1}{3}[/tex]
Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.
Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now
Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y
Step 4: Divide 3 from -4 and you get -4/3
Let me know if you have any questions and I hope this helps :)
solve pls brainliest
Answer:
y = 13x
Step-by-step explanation:
Substitute 2 in x and you'll get 26:
y = 13•2
y = 26
g(t) = (t-10) (t+1)
1) What are the zeros of the function?
Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
20 POINTS !!
x^2+y^2+2x+2y=0
x^2+y^2+2x+6y+9=0 solve each system using substitution
Will mark brainlyest if steps are provided
Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
HELPP it’s angles of a triangle much appreciated !
Answer:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?
5.2
6.2
7.2
8.2
Answer:
7.14
Step-by-step explanation:
15 metres at a speed of 20 cm/s (answer in seconds) a
Here's the perfect answer.
PLEASE MARK ME BRAINLIEST
Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30
Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.
What is a system of equations?A system of equations is called simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Shop A Shop B
The number of cars already repaired 55 30
The number of cars repaired per week 5 10
Let the number of cars repaired by Shop A in w weeks = 5w + 55
Let the number of cars repaired by Shop B in w weeks = 10w + 30
For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30
5w - 10w = 30 - 55
-5w = -25
w = 5
Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.
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What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?
Answer:
y=4x+6
Step-by-step explanation:
How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-by-step explanation:
You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.
An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...
0 = 2 -3x -2x^2
x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2
(x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square
(x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square
x +3/4 = ±5/4 . . . . . . . take the square root
x = -3/4 ±5/4 = -8/4, +2/4
The x-intercepts are -2 and +1/2.
__
A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...
y^2 = 2 -0 -0
y = ±√2
The y-intercepts are -√2 and +√2.
_____
A graphing calculator can give you a good idea of what the intercepts are.
Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.
Will pick brainliest answer, thank you :)
Answer:
15) (1, 1) and (-1, 1)
16) (1, 2) and (-1, 2)
17 (1,1/2) and (-1, 1/2)
18) (1,1/4) and (-1, 1/4)
19) 16 is vertical stretch, 17 and 18 is vertical compressed
Step-by-step explanation:
for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1
so y is the "a" value in the equation y=ax²
for qs 19
y=ax²
so if a>1 -- then vertical stretch
when 0<a<1 -- then vertical compressed
if x/2=6.5 what is x
Answer: 13
Step-by-step explanation: 6.5 x 2=13
Answer:
x=13
Step-by-step explanation:
13/2=6.5
P = y² + 2z find the value of P if y = 3 and z = -4
Answer:
[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]
Answer:
P = 1
Step-by-step explanation:
P = [tex]y^{2}[/tex] + 2 (-4)
P= [tex]3^{2}[/tex] + -8
P = 9 + -8
P = 1
Hope this helps!
Find the reference angle for -369°
a.
9°
c.
99°
b.
81°
d.
171°
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 9
Step-by-step explanation:
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Hope that helps