Answer: The solution is the pair (-2, 5/3)
Step-by-step explanation:
The system of equations is:
y = (2/3)*x + 3
x = -2
When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)
In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:
y = (2/3)*(-2) + 3
y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3
y = 5/3
Then the solution of this system is
x = -2
y = 5/3
Which also can be represented with the ordered pair (-2, 5/3)
a rectangle has dimensions of (3y+2)cm as the length and (x+7)cm as the other length and 2x cm as the breadth and (x+y+1)cm as the other breadth find the values of x and y and the dimensions
Answer:
x = 4 cm
y = 3 cm
Dimension is 11 by 8
Step-by-step explanation:
The computation of the values of x and y and their dimension is shown below:
3y + 2 = x + 7
3y - x = 5.......(i)
2x = x + y + 1
x - y = 1...........(ii)
Now solve these both equations
2y = 6
y = 3 cm
And,
x - y = 1
x - 3 = 1
x = 4 cm
Now their dimension is
= x + 7
= 4 + 7 = 11
And,
= x + y + 1
= 4 + 3 + 1
= 8
So, 11 by 8
Did I do it rightly?
What is the solution to the system of equations below?
y=-1/3x+6 and x=-6
(-6,8)
(-6.4)
(8.6)
(4-6)
Name this polynomial by its degree: 3x² + 5x-3
Answer:
[tex]\boxed{\textsf {The given polynomial is a quadratic polynomial. }}[/tex]
Step-by-step explanation:
A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .
[tex]\sf\implies p(x)= 3x^2+5x-3 [/tex]
So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .
★ More to Know :-
When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.
That is ,
[tex]\sf\implies p(x)= 3x^2+5x-3=0[/tex]
This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .
12) Wendy is creating a board game. She wants to cut square game pieces that
1
measure 1 inches on each side from a piece of paper that measures 9 inches by 9
2
inches. How many game pieces can Wendy cut from the paper?
Answer: 36
Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!
Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.
Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Step-by-step explanation:
7.9 meters per second
Mr. Z bought an all-terrain vehicle (ATV) in 2010 for $7,000. The value of the ATV decreases at a rate of 11% per year. How much is the ATV worth in 2025? First, write an equation that represents the value of the ATV, V, after x years. Then calculate how much the ATV is worth in 2025. You must use the equation that you set up and show what you typed into your calculator in order to earn full credit. round your answer to the nearest whole dollar.
Answer:
i did the math in my calculator and came up with -4550 i don't know what i did
Step-by-step explanation:
Solve the equation:
b - 1.6 ÷ 4 = - 3
b = _____
Answer:
-2.6
Step-by-step explanation:
GRADE 7 MATH URGENT
A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?
A. 8 pizza pies at 10 pc. per pie = 80 available pieces
B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.
c. 22 pieces are left over.
D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.
E. Solve the equation 58 = 5X by dividing both sides by 5.
WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.
Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.
Answer:
10 pizzas
Step-by-step explanation:
To find the answer for this question you need to multiply 3/8 by 25.
3/8 * 25 = 9.375
You can't buy .375 of a pizza so you round it up and get 10.
A cone has a height of 12 yards and a radius of 7 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
____ cubic yards
Answer:
615.44 cubic yards
Step-by-step explanation:
V = 1/3·π·7²·12
A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,
Rate = 48 / 5 fl oz per minute
We know that 1 gal = 128 fl oz, then we have
Rate = (48 / 128) / (5 / 60)
Rate = (48 x 60) / (128 x 5)
Rate = 2880 / 640
Rate = 4.5 gallons per hour
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
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A biker travels 10 miles in two hours, what is his speed?
Answer:
5 miles per hour
Step-by-step explanation:
Answer:
The answer is 5 MPH
Step-by-step explanation:
because
10 divided by 2 5
---- -----
2 divided by 2 1
5 divided by 1=5
5x2=10 its correct your answer is 5!
Have a great and hope this helped!
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x
Answer:
48
Step-by-step explanation:
Khan Academy
The value of [A] will be 48.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that we have rewritten -
(1/7)ˣ ⁻ ² - (1/7)ˣ as [A] x (1/7)ˣ
We have (1/7)ˣ ⁻ ² - (1/7)ˣ rewritten as [A] x (1/7)ˣ. So, we can write -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :
[(1/7)ˣ / (1/7)²] - (1/7)ˣ
(1/7)ˣ [1/(1/7)² - 1]
We have -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
So, we can write -
(1/7)ˣ × [1/(1/7)² - 1] = [A] × (1/7)ˣ.
On comparing, we get -
[A] = [1/(1/7)² - 1]
[A] = 48
Therefore, the value of [A] will be 48.
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I really need help with this.
9514 1404 393
Answer:
a. (1.4, 2.6)
b. (3, 2)
Step-by-step explanation:
a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.
For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...
(c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0
Then the equation of the perpendicular bisector of MN is ...
(-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0
-6(x -1) +4(y -2) = 0
3x -2y = -1 . . . . divide by -2 and put in standard form
Similarly, the perpendicular bisector of NO is ...
(0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0
2(x +1) +2(y -5) = 0
x + y = 4 . . . . divide by 2 and put in standard form
So, the point of intersection is ...
(3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st
5x = 7 . . . . . . simplify
x = 1.4 . . . . . . divide by 5
y = 4-1.4 = 2.6 . . . . . find y from the second equation
The coordinates of the circumcenter are (1.4, 2.6).
__
b. The centroid is the average of the vertex coordinates.
centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3
centroid = (3, 2)
Please help me. Thank you!
Answer:
25
Step-by-step explanation:
I don't know the steps
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
There are 750 students at a school.The ratio of the number of students who do not wear glasses to the number of students who wear glasses is500:250
.Which of the following statements are correct? Select ALL that apply.
Options:
A
The number of students who do not wear glasses is half the number of students who wear glasses.
B
The number of students who do not wear glasses is twice the number of students who wear glasses.
C
The number of students who wear glasses is half the number of students who do not wear glasses.
D
The number of students who wear glasses is twice the number of students who do not wear glasses.
E
The ratio of total students to students who wear glasses is 3:1
.
F
The ratio of total students to students who wear glasses is 1:3
.
PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.
Answer:
B. (x , y) -> (-y , x)
Step-by-step explanation:
counter clockwise rotation 90° : (x,y) -> (-y,x)
The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. Which sequence of transformations produces the same image? Translate left 2 units and down 3 units, and then reflect over the x-axis. Translate left 3 units and down 2 units, and then reflect over the x-axis. Reflect over the x-axis, and then translate left 2 units and down 3 units. Reflect over the x-axis, and then translate left 3 units and down 2 units.
Answer: B
Step-by-step explanation:
did it on edge
Answer: B
Step-by-step explanation:
What is the answer to x? Given the top of the triangle is 80.
mr iniguez can bike 157 miles in 5 hours . How many miles can he bike 1 hour?
Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour
Step-by-step explanation:
I divided
Answer:
If he bikes 157 miles in 5 hours and we need to know hhwo many miles he can bike in 1 hour, we need to divide
157/5=31.4
Step-by-step explanation:
157 divided by 5
5 fits in 15 3 times
5x3=15
15-15=0
we bring down the 7 and 5 only fits in 7 one time
5x1 is 5 so 7-5 is 2
we add a decimal after 157 and drop it down to creat 20
5x4 is 20 so the answer is 31.4
Find the value of x *
A) 20
B) 10
C) 15
D) 25
Answer:
B. 10
Step-by-step explanation:
While doing construction O and P are joined then
OQ = OR
<QOR = 80°
<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)
<QPR = 80°/2
<QPR = 40°
SO
< QPO = X
<RPO = 30°
<QPO + <RPO = < QPR
X + 30° = 40°
X = 40° - 30°
X = 10°
hope it helps
Find the are of this shape?
Answer:
the square in the middle is 100 because 10 x 10 = 100
Answer:
The answer should be 217.75 m^2
Step-by-step explanation:
3/13 as a decimal rounded to the nearest thousandth
Answer:
0.231
Step-by-step explanation:
Answer:
3/13 round to the nearest thousandth is 0.231
Step-by-step explanation:
what is the expression 3 fewer than k
(12+34)×2.3= (talk to me please please please)
Answer:
90.2
Step-by-step explanation:
thx for the follow!!!
Answer:
105.8 is the answer
Step-by-step explanation:
105.8
On a map, a hospital is located at (-42,7). A wreck occurs at (13,-14). How far must the Air Care helicopter fly to reach the wreck from the hospital. (Each unit on the map equals one mile.)
Answer:
The helicopter must cover a straight line distance of approximately 61.270 miles from the hospital to the wreck site.
:)
Step-by-step explanation:
Jim’s physics quiz scores were 77, 83, 75, 52, and 85. What was his median score?
Answer:
76
Step-by-step explanation:
A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .
The probability is the ratio of the favorable event to the total number of events. The probability of a blue ball is 61.54 %.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A bag contains 5 green marbles and 8 blue marbles.
Total number of balls will be
→ Total balls = 8 + 5 = 13
A dice is rolled, then a blue marble is chosen at random from the bag. Then the probability will be
→ Favorable event = 8
[tex]\rm P(B) = \dfrac{Favorable \ event}{Total \ event}\\\\P(B) = \dfrac{8}{13}\\\\P(B) = 0.6154 \ or \ 61.54 \ \%[/tex]
More about the probability link is given below.
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