Step-by-step explanation:
First we solve it.
I'll use substitution.
In the first equation y equals -2x+2 so we can apply that to the second equation
2y + 4x = 4
2(-2x+2) + 4x = 4
distribute
-4x+4+4x=4
simplify
4=4
To figure out how many solutions it has:
•If both side of the equal sign are exactly the same: Infinitely many
ex: 6x=6x
•If both sides of the equal sign do not match when completely simplified: No solutions
ex: 3x=-5x
•If it creates an equation: 1 solution
ex: x=3+2y
Since both sides of the equal sign are 4, we have infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Still stuck? Get 1-on-1 help from an expert tutor now.
A rock sample has a mass of 16 grams and a volume of 8 cubic centimeters. 'When the
rock is cut in half, what is the volume and density of each piece?
Answer:
Volume= 4 cm³
Density= 2 g/cm³
Step-by-step explanation:
We have the following data:
volume= V= 8 cm³
mass= m= 16 g
The density is the mass per volume of a substance, so the density of the rock is:
density= d= 16 g/8 cm³= 2 g/cm³
When we cut the rock in half, we have a half volume and a half mass:
V= 8 cm³/2= 4 cm³
m= 16 g/2= 8 g
But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:
d = m/V= 8 g/4 cm³= 2 g/cm³
Quadratic Equations
How to find x and y-intercepts from vertex form (not standard).
It took 3.5 hours for a train to travel the distance between two cities at a velocity 120 km/hr. How many miles lie between the two cities?
9. List the sides of each triangle in order from shortest to longest.
Answer:
C, B, A
Step-by-step explanation:
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Given: m∠ABC = m∠CBD Prove: Ray B C bisects ∠ABD. 3 lines extend from point B. One line extends to point A, another to C, and another to D. Justify each step in the flowchart proof. A flow chart with 3 boxes that are labeled A, B, C, from top to bottom. Box A contains m angle A B C = m angle C B D. Box B contains angle A B C is-congruent-to angle C B D. Box C contains Ray B C bisects angle A B D.
Answer:
Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)
Step-by-step explanation:
The given information are;
m∠ABC = m∠CBD
To prove that Ray BC bisects m∠ABD
The description is therefore;
Three lines (AB, BC, and BD) that meet at a point
The content of Box A = m∠ABC = m∠CBD
The content of Box B = m∠ABC ≅ m∠CBD
The content of Box C = Ray BC bisects m∠ABD
Therefore, we have;
m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)
m∠ABC = m∠CBD (Given)
∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)
m∠ABC is adjacent to m∠CBD (Description of the angles)
Line BC is common to m∠ABC and m∠CBD (Description of the angles)
Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).
Answer:
c
Step-by-step explanation:
edg
yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g
Step-by-step explanation:
[tex]16 {}^{x} = \frac{1}{64} [/tex]
[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]
[tex]2x = - 3[/tex]
[tex]x = - \frac{3}{2} [/tex]
Answer:
x = -3/2
Step-by-step explanation:
We make both numbers have the same bases.
We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.
2^4x = 2^-6
Let exponents equal each other.
4x = -6
x = 6/4 = -3/2
x = -3/2
What is the median of the following dataset? (1,5,6,3,4,5,6,8,9)
Answer:
The median would be the second 5
Therefore our answer would be 5
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory
Hallie participates in the freestyle event for the school swim team. The fastest she can swim is 25 meters in 22 seconds. At this rate, in how many minutes could she swim the 200 meter freestyle event?
Answer:
2 minutes 16 seconds
Step-by-step explanation:
200/25=8
8x22=176
The sides of a triangle are as follows:
2x – 4
x + 5
3x + 3
Find x if the perimeter of the triangle is 100 in.
Set up an equation and solve.
show work
Answer:
x=16
Step-by-step explanation:
(2x-4)+(x+5)+(3x+3)=100
6x+4=100
6x=96
x=16
Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8
Answer:
(2, 6 )
Step-by-step explanation:
- 8x + 2y = - 4 → (1)
- 7x + y = - 8 ( add 7x to both sides )
y = 7x - 8 → (2)
substitute y = 7x - 8 into (1)
- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side
- 8x + 14x - 16 = - 4
6x - 16 = - 4 ( add 16 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
substitute x ;= 2 into (2)
y = 7(2) - 8 = 14 - 8 = 6
solution is (2, 6 )
Help me with this question!!
Which of the following is equal to 213 ÷ 3?
A.
(210 ÷ 3) + (3 ÷ 3)
B.
(210 + 3) ÷ (3 + 3)
C.
(210 ÷ 3) + (210 ÷ 3)
Answer:
210/3+3/3
Step-by-step explanation:
210/3=70+3=73/3=71
213/3=71
Find the values of theta. Explain how you found your answer or upload a picture showing your work.
Answer:
Step-by-step explanation:
[tex]\frac{\pi }{3}[/tex] and [tex]\frac{2\pi }{3}[/tex]
(x−119)÷7=6
Could anyone please help?
Answer:
x
=
161
Step-by-step explanation:
Multiply both sides of the equation by
7
.
7
⋅
(
x
−
119
)
÷
7
=
7
⋅
6
Simplify both sides of the equation.
Tap for more steps...
x
−
119
=
42
Move all terms not containing
x
to the right side of the equation.
Answer:
161
Step-by-step explanation:
Step 1:
( x - 119 ) ÷ 7 = 6 Equation
Step 2:
( x - 119 ) = 42 Multiply 7 on both sides
Step 3:
x = 42 + 119 Add 119 on both sides
Answer:
x = 161 Add
Hope This Helps :)
pls help will mark brainliest
A= 1/2h(a+b) solve for a (lowercase a only)
Answer:
a = 2A / h - b
Hope that was the answer you were looking for :D
(35n3 - 30n2 + 25n) ÷ (-5n) -7n 2 - 6n - 5 -7n 2 + 6n - 5 -7n 2 - 6n + 5
Answer:
- 28n^2 - 10
Step-by-step explanation:
What is the sample? all state households 1565 households surveyed 1127 households that owned televisions.
The percentage of the household survey that owned televisions is 72%. And the sample is defined below.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
What is a sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be
[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Answer:
1565 households surveyed
Step-by-step explanation:
I did this on edge :)
(I need help with 2 questions)
1. what is the value of 3x^² + 5x when x=3?
2. 3^3 +3(4+1/3)
Step-by-step explanation:
1: we plug in 3 instead of x. so we get
3(9)+5(3) = 42
2: we use pemdas or bedmas
27+12+1 = 40
if you have any other question feel free to ask.
A company figured it needed 68. 5 square feet of carpet for its reception room. To allow for waste, it was decided to order 40 percent more material than needed. Fractional parts of square feet cannot be ordered. At $8. 00 per square foot, how much would the carpet cost?
The total cost of the carpet purchased by the company for its reception is $767.20.
What is the total cost of the carpet?The first step is to determine the total square feet of carpet that would be bought: 1.40 x 68.5 = 95.9 square feet
Now, determine the total cost of the carpet. This can be known by multiplyig the cost per square foot by the total amount of carpet needed.
95.9 x 8 = $767.20
To learn more about how to determine total cost, please check: https://brainly.com/question/25717996
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle?
R
N
P
E
H Н
F
O angles P, Q, and R
Bangles M. Land
OC angles A and B
OD angles and
Engles M N and P
Answer:c
Step-by-step explanation:
The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in feet, d, that the truck rolls is represented by the function d=f(t)=0.5t2. Using this function, find out how far the truck will roll after 9 seconds.
Answer:
The truck will roll 40.5 feet from top of the hill after 9 seconds.
Step-by-step explanation:
Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:
[tex]f(t) = 0.5\cdot t^{2}[/tex]
Where [tex]t[/tex] is the time, measured in seconds.
By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:
[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]
[tex]f(9\,s) = 40.5\,ft[/tex]
The truck will roll 40.5 feet from top of the hill after 9 seconds.
This one is about rate of change and has 2 questions that need two answers.
At 6:00 am, there was 1 inch of snow on the ground. By 11 am, there were 4 inches of snow on the ground. What is the average rate of change?
If the snow continues to fall at the same rate, how much snow will be on the ground by 1:00 pm.
Answer:
0.6 inches per hours
5.2 inches on the ground by 1:00 pm
Step-by-step explanation:
Let x = number of hours after midnight
Let y = height of snow (in inches)
Information presented as ordered pairs (x, y):
(6, 1)
(11, 4)
[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]
Written as a linear equation:
[tex]y-1=\dfrac35(x-6)[/tex]
[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]
1:00 pm = 13 hours after midnight
Therefore, when x = 13:
[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]
[tex]\implies y=5.2 \textsf{ inches}[/tex]
PLEASE HELP, I AM BEING TIMED!!
Assume line M and N are parallel lines cut by transversal L. Find the value of X.
Options: A: X= -0.2
B: X=1.2
C: X=2
D: X=18.2
Answer: C) X=2
Step-by-step explanation: These angles are equal because they alternate exterior angles. Set them equal to each other, and just solve for x.
42,300 as a multiple of a power of 10
Multiply. Express your answer in simplest form. 3 1/3 x 1 3/4
Answer:
5 5/6
Step-by-step explanation:
10/3 * 7/4
Answer:
5.83
Step-by-step explanation:
Or if you finish the whole problem I got Conversion a mixed number 5.833333
3 1/3 * 1 3/4 = 35/6 = 5 5/6
≅ 5.8333333
A bagel costs $2.15 and cream cheese
costs $0.75. If you buy milk for $2.00, is
$5.00 enough to cover the cost of all
items? Explain.
Answer:
Yes
Step-by-step explanation:
You do have enough money because 2.15+0.75+2.00 is = to 4.90 and we know that 4.90 is less than 5.00
find the value of x that makes f(x) continuous
Answer:
the answer for this question is -4
57:12
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
C D
VX
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are
perpendicular
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Mark this and retum
Save and Exit
Next
Submit
Answer: Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
To find the perimeter of this quadrilateral with known vertices: Use the distance formula to find the length of each side, and then add the lengths.
What is distance?The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, we have,
Mathematically, the distance between points on a coordinate plane is given by this formula:
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
Where:
x and y are the vertices (points) on a coordinate plane.
Therefore, when the distance formula has been used to determine the length of of each side of the quadrilateral. You should then add the lengths of each side together.
Read more on distance formula here:
brainly.com/question/1418394
#SPJ5
mark opens a bank account with $20. He plans to put in $5 each week. c. write an equation to represent the total amount of money mark has in his account over time
Answer:
y=$35
Step-by-step explanation:
y= total number in your account
x= # of weeks
y=5x + 20
y=10x + 5
x=3 weeks
Find Area of each shaded sector. Round to the hundredths place.
Check the picture below.
so the area that is not shaded has a total of 90° + 26° = 116°.
a circle has a total of 360°, so the area that is shaded must be 360° - 116° = 244°, and it has a radius of 25.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]
Answer:
1330.81
Step-by-step explanation:
I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!