Solve the following system by the comparison method.
2p + q = 1
9p + 3q + 3 = 0
What is the solution set?
{(-2, -5)}
{(2, -5)}
{(-2, 5)}
Answer:
3p=1
p=1/3
9p+3p+3=0
12p+3=0
12p=3
p=3/12
p=4
What is 54-36÷9+14=n what is the value in n?
Answer:
64
Step-by-step explanation:
1st step: 36/9 = 4
54 - 4 + 14 (since all operations are addition and subtraction, just work left to right)
50 + 14 = 64
The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the laptop computer. Identify and interpret the slope.
The slope is ___. This means that the power ____ by ____ per hour
Answer:
The slope is -0.25. This means that the power reduces by 0.25 percent per hour
Step-by-step explanation:
Given
[tex]y = -0.25x + 1[/tex]
Required
Identify and interpret the slope
An equation has a general form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + b[/tex] to [tex]y = -0.25x + 1[/tex]
We have:
[tex]mx = -0.25x[/tex]
Divide both sides by x
[tex]\frac{mx}{x} = \frac{-0.25x}{x}[/tex]
[tex]m = \frac{-0.25x}{x}[/tex]
[tex]m = -0.25[/tex]
Because the result of the above calculation is negative, it means that the function reduces
The given function measures the percentage of power by hour.
So, the power reduces by 0.25% per hour
Which is an equivalent way to express 3x?
1. What is the solutionto the system of equations?
Answer:
(1, -3)
Step-by-step explanation:
The solution is the intersecting point
HELPPPPPPPPPP!!!!!!!!
factor the expression
by filling in the blank
Answer:
After factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Step-by-step explanation:
The expression given is:
[tex]8q^6r^3+27s^6t^3[/tex]
We need to factor the expression using the formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Given the expression:
we have
[tex]a = 2q^2r\\b= 3s^2t[/tex]
Now applying the formula:[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
[tex](2q^2r)^3+(3s^2t)^3\\=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]
So, after factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
You have 4 black marbles, 3 green marbles and 5 red marbles in a bag. What
is the probability of pulling out a black marble?
Answer:
I believe it is 40% since there are 4 marbles within the bag!
Step-by-step explanation:
What is the mean average of these five numbers 2, 4, 5, 6, 8
Answer:
5
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.
Mean = Sum / Count
Mean = (2+4+5+6+8) / 5
Mean = 25 / 5
Mean = 5
The average mean of the given data will be "5". A further solution is provided below.
The given data is:
→ [tex]2,4,5,6,8[/tex]
Total number of data value,
= 5
The mean will be:
= [tex]\frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ values}[/tex]
By substituting the given values, we get
= [tex]\frac{2+4+5+6+8}{5}[/tex]
= [tex]\frac{25}{5}[/tex]
= [tex]5[/tex]
Thus the above is the correct answer.
Learn more about mean here:
https://brainly.com/question/21179980
how do you figure this out? Fill in the missing amounts (do not use commas or decimal points).
July Aug. Sept. Oct. Nov. Dec.
Receipts $700 $650 $800 $960 $895 $925
Expenses $680 $650 $710 $795 A. $850
Net Cash Flow B. $0 C. $165 $105 D.
Cumulative Balance $20 E. $110 F. $380 $455
$
Answer:
A. 790 B. 20 C. 90 D. 75 E. 20 F. 275
Step-by-step explanation:
Simplify: - 7 + 17 - 7
A. 31
B. - 17
C. -3
D. 17
The correct answer should 3, but there's no option!
Hey there!
“Simplify: –7 + 17 – 7”
“A. 31”
“B. –17”
“C. –3”
“D.17”
–7 + 17 – 7 =
–7 + 17 = 10
10 – 7 = 3
Your answer SHOULD be: 3 ☑️
(Closest to your answer would be: Option C. –3)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this!!
Answer:
- 127/7 or - 18 1/7- 100/7 or - 14 2/7-73/7 or -10 3/7-46/7 or - 6 4/7-19/7 or - 2 5/78/7 or 1 1/7Step-by-step explanation:
Given AP with the first term of -22 and eighth term of 5To find the missing termsSolutionAP formula:
aₙ = a₁+(n-1)dUsing the given points we find the common difference:
a₁ = -22 and a₈ = 5
a₈ = a₁ + 7d5 = -22 + 7d7d = 5 + 227d = 27d = 27/7Now the missing terms:
a₂ = -22 + 27/7 = - 127/7 or - 18 1/7a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7a₄ = -22 + 3(27/7) = -73/7 or -10 3/7a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7a₇ = -22 + 6(27/7) = 8/7 or 1 1/7If the distance of P x, y from the points A (3, 6) and B −3, 4 are equal, prove that
3x + y = 5
Answer:
See Below.
Step-by-step explanation:
We are given a point P(x, y). It is equidistant from A(3, 6) and B(-3, 4).
So, let's first determine the distance from P to each point. We can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Segment PA:
We will let P(x, y) be (x₂, y₂) and A(3, 6) be (x₁, y₁). By substitution:
[tex]d=\sqrt{(x-3)^2+(y-6)^2[/tex]
This represents the distance from P to A.
Segment PB:
Again, we will let P(x, y) be (x₂, y₂) and B(-3, 4) be (x₁, y₁). By the distance formula:
[tex]d=\sqrt{(x-(-3))^2+(y-4)^2}[/tex]
We may simplify:
[tex]d=\sqrt{(x+3)^2+(y-4)^2}[/tex]
Now, we know that the two distances are equivalent. Hence:
[tex]\sqrt{(x-3)^2+(y-6)^2}=\sqrt{(x+3)^2+(y-4)^2[/tex]
Simplify. Square both sides:
[tex](x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2[/tex]
Square:
[tex](x^2-6x+9)+(y^2-12x+36)=(x^2+6x+9)+(y^2-8x+16)[/tex]
Subtract all terms from the right:
[tex](x^2-6x+9)-(x^2+6x+9)+(y^2-12x+36)-(y^2-8x+16)=0[/tex]
Distribute the negative:
[tex][(x^2-6x+9)+(-x^2-6x-9)]+[(y^2-12y+36)+(-y^2+8y-16)]=0[/tex]
Rearrange:
[tex][(x^2-x^2)+(-6x-6x)+(9-9)]+[(y^2-y^2)+(-12y+8y)+(36-16)]=0[/tex]
Combine like terms;
[tex](-12x)+(-4y)+(20)=0[/tex]
We can divide both sides by -4:
[tex]3x+y-5=0[/tex]
Finally, adding 5 to both sides produces:
[tex]3x+y=5[/tex]
"During the winter snow season, the Snowy Mountain Coffee Spot sells hot chocolate for 47 cents. If Katrina paid for a cup of hot chocolate with exactly five coins (quarters, nickels, dimes, or pennies). Which five coins did she use?"
Answer:
4 dimes an 7 pennies
Step-by-step explanation:
it should be easy
A car company builds two versions of one of its models-a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at a dock. Tom
counts 18 station wagons and then overhears a dock worker call out, "Okay, that's all of the wagons ... bring out the sedans!" How many sedans were on the ship? Write the number only.
Answer:
Number of sedans on the ship = 99
Step-by-step explanation:
Given that:
Ratio of sedans to station wagons = 11 : 2
Number of station wagons count by Tom = 18
Number of sedans = x
Ratio of sedans to station wagons = x : 18
The relationship is directly proportional;
11 : 2 :: x : 18
Product of mean = Product of extreme
2x = 11*18
2x = 198
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]
Hence,
Number of sedans on the ship = 99
Which is an example of radiation?
1.Hot air rises and cool air moves in to take its place.
2.You burn your feet on a hot sidewalk on a sunny day.
3.Your car parked in the sun is hot when you return.
Answer:
3
Examples of Everyday Radiation
Visible light.
Infrared light.
Near ultraviolet light.
Microwaves.
Low frequency waves.
Radio waves.
Waves produced by mobile phones.
A campfire's heat.
QUESTION SHOWN ON PHOTO :)
Answer:
A: -1/3x
Step-by-step explanation:
We can convert -1/3 to -2/6 by multiplying -1/3 by 2/2. As we know, 5-2 is 3. That makes 3/6. 3/6 is equivalent to 1/2. That means it has to be A.
Look at the photo pick A B C D either one explanation not needed thank you! <3
Answer:
B.4
Step-by-step explanation:
It's asking the absolute value even though -6 is used here. So the answer is 4.
The number of students who ordered a medium T-shirt was two less than
the number of students who ordered a large T-shirt. Write a system of linear
equations that represents the number of students who ordered medium and
large T-shirts
Answer:
Y= x + x-2
Step-by-step explanation:
X represents large tshirts
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
https://brainly.com/question/9781303
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
https://brainly.com/question/11406334
Which conic section does the equation below describe?
x^2+y^2- 8x+ 10y+15 = 0
O A. Hyperbola
O B. Parabola
OC. Circle
OD. Elipse
[tex]\large\boxed{\boxed{\pink {\bf \leadsto The \ equation \ represents \ a \ circle. }}}[/tex]
Step-by-step explanation:Given equation to us is ,
[tex]\green{\implies x^2 + y^2 - 8x + 10y + 15 = 0 }[/tex]
And we need to find which conic section does the equation below describe . So for that let's simpify the Equation .
[tex]\implies x^2 + y^2 - 8x + 10y + 15 = 0 \\\\\implies x^2 - 8x + y^2 + 10y = (-15) \\\\ \implies x^2 -8x + 4^2 - 4^2 + y^2 + 10y + 5^2-5^2 + 15 = 0\\\\ \implies (x -4)^2 + (y+5)^2 - 16 - 25 + 15 = 0 \\\\ \implies (x -4)^2 + (y+5)^2 - 26 = 0 \\\\\implies (x-4)^2 + (y+5)^2 = 26 \\\\\implies (x-4)^2+(y+5)^2=(\sqrt26)^2 [/tex]
And this is similar to the standard equation for a circle is ( x - h )² + ( y - k )²= r² , where ( h, k ) is the center and r is the radius.
Hence the given equation represents a circle with center ( 4 , -5) and radius √26 units.Which statement below CANNOT be represented by the expression x - 10?
a. 10 less than x
b. x decreased by 10
c. x less than 10
d. 10 subtracted from x
You paint of a wall in hour. At that rate, how long will it take you to paint one wall?
Answer:
an hour....
Step-by-step explanation:
what is the answer to the question?
What is a solution to the equation x^2=25x 2 = 25?
Answer:
5
Step-by-step explanation:
hope this helps :)
5^2=25
5x5=25
to complete a task in 16 days a company needs
Answer: depends on the task.
Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.
Which is the coefficient in the expression 24x + 3?
a. x
b. 3
c. 24
d. 24x
Answer:
C. 24
Step-by-step explanation:
convert to slope intercept form y-3=5(x-7)
Answer:
y = 5x - 32
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Equality Properties
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Point-Slope Form] y - 3 = 5(x - 7)
Step 2: Rewrite
Distribute 5: y - 3 = 5x - 35Isolate y: y = 5x - 32An aquarium has a total of 24 freshwater creatures in it. There are 9 angelfish, 6 koi, 4 snails, 3 mini crabs, and 2 frogs. Write a ratio to represent the number of snails to the number of all creatures. Simplify if possible, but keep as a fraction.
please hurry!
9 + 6 + 3 + 2 = 20
4:20
1:5 ratio of snails to other creatures
Answer:
3/1 or 3:
Step-by-step explanation:
Im that guy pal
Create a chart by calculating the heights of all the family members. Convert the heights in cm. Also find the average heights of your family. Compare your height with the average height and the height of your father.
plz help me now
Answer:
khkatyyjajtzjyftkrtehemrk5u2w