Step-by-step explanation:
2x + 3y = 2
x + 6y = 4
2(4-6y) + 3y = 2
x= 4- 6y
8-12y + 3y = 2
x= 4- 6y
-9y =-6 =) y = 2/3
x= 4- 6*2/3 = 0
A. x = 0, y = 2/3
there are 600 seats in the auditoium this is less than the number seats in gymnasum how many seats are in the gymnasium?
Answer:
(600 + x )seats ...let x be the number seat less than the auditorium in relation to the gymnasium
For example. There are 600 seats in the auditorium. This is 112 less than the number of seats in gymnasium
600 is 112 less, therefore 712 seats in the gymnasium
Step-by-step explanation:
Find the distance between (6, −2) and (1, −2).
Question 14 options:
5 units
6 units
7 units
4 units
Answer:
5 units
Step-by-step explanation:
the formula is delta y over delta x.
The distance between -2 and -2 is 0
The distance between 6 and 1 is 5
So, it's 5 units.
Hope this helps :)
a jar contains 6 red marbles, 9 yellow marbles, and 5 green marbles. What fraction of the marbles in the jar are red?
Answer: 6/20 are red
Step-by-step explanation: add all the marbles together and put the number of reds over the total number of marbles
What is the simplest form of ^3√x^10
Answer:
x^3 3√x
Step-by-step explanation:
C on edge
Answer:
C is correct and then for the next question a= -8 and b= -2
Step-by-step explanation:
Edge 2021
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer: 653.45m²
I got it right thats why
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
Please Help!!!!!
I need the answer!!!!
Answer:
It's the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
x=y
they are the same numbers
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
A dilation with center O and scale factor r takes A to A' and B to B'. a) Explain how to find the center O b) If AB=6 mm and A'B'= 15mm, calculate the scale factor r. c) Apply the Dilation theorem
Answer:
A.) Extending the line of multiple of scale factor r on two corresponding vertex
B.) Scale factor r = 2.5
C.) A'B'/AB = 5/2
Step-by-step explanation:
A.) To find the centre O, take a corresponding vertex of the two shapes. Draw a line passing through the the vertex and extending beyond the initial one. The length of the line must be multiplied by the scale factor r
The center of a dilation is a fixed point in the plane in which all points are expanded or contracted.
B.) If AB=6 mm and A'B'= 15mm,
The scale factor r = 15/6 = 5/2 = 2.5
C.) A'B'/AB = 5/2
What is the length of the hypotenuse
Answer: 97ft
Step-by-step explanation:
Using pythagorean's theorem.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
where;
a and b are the sides.
[tex]c=\sqrt{(65ft)^2+(72ft)^2}\\ c=\sqrt{4225ft^2+5184ft^2}\\ c=\sqrt{9409ft^2}\\ c=97ft[/tex]
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation:
help me please thanks you
Answer:
radius = 1/2 of a diameter = 9 cm
diameter = circumference = 18 cm
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answer:i think it is 92.5
When multiplying or dividing a negative by a negative what will the result be
Answer:
A positive number
Step-by-step explanation:
almost done just need these answers
Answer:
1) 8^4
2) 3^12
3)8^6
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]1)\frac{8^{6}}{8^{2}}=8^{6-2}=8^{4}\\\\2)3^{2}*3^{4}*3^{6} = 3^{2+4+6}=3^{12}\\\\3)\frac{8^{-4}}{8^{-10}}=8^{-4+10}=8^{6}[/tex]
PLEASE HELP OUT! The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 25 in. and 11 in.
A. 25.2 in.
B. 21.6 in.
C. 27.3 in.
D. 22.4 in.
Probability
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9,10)
What is the probability of drawing an odd number or a
multiple of 3?
9/10
1/2
7/100
3/5?
Answer:
1/2
Step-by-step explanation:
Which expression shows a way to find 20% of 950? Please I need help thanks.
Answer:
the answer of the expression is 190
Step-by-step explanation:
Given expression as :
20 % of 950
Or, [tex]\frac{20}{100}[/tex] times 950
Or, [tex]\frac{20}{100}[/tex] × 950
Or, 20 × [tex]\frac{950}{100}[/tex]
or, 20 × 9.5
∴ 190
Answer:
1/5 times 950
Step-by-step explanation:
I did this on iready and got it correct
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
45:1
15.14
1:15
15:1
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
PLEASE HELP QUICK!! WILL MARK BRAINLIEST!!
(SAT Prep) Find the value of x in each of the following exercises:
THANKS!!
Answer:
x is 24 degrees
Answer:
x = 24
Step-by-step explanation:
I'm 8 years old and I know how to do this.
The sum of interior angles of a quadrilateral is 360°
The sum of a supplementary angle is 180°
180 - 111 = 69
94 + 41 + 69 + a = 360
204 + a = 360
a = 156
156 + x = 180
x = 24
Use the inverse of this function to select the correct graph.
Answer:
D
Step-by-step explanation: (i know this part. its the graph im a tiny bit unsure about)
x __ y
2 __2
3 __ 2.387
7__ 3
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
What are the points of discontinuity?
Answer:
x = 9, x = 3
Step-by-step explanation:
Given
y = [tex]\frac{x-3}{x^2-12x+27}[/tex]
The denominator of the rational function cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
x² - 12x + 27 = 0
(x - 9)(x - 3) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x - 3 = 0 ⇒ x = 3
Thus x = 9, x = 3 are excluded values and the points of discontinuity
05.01 MC)
Determine the equation of the line with slope −2 that passes through the point M(−1, −3). (5 points)
Question 2 options:
1)
2x + y = −5
2)
2x − y = −5
3)
x − 2y = 5
4)
x − 2y = −5
Answer:
2x + y = -5 (which is Answer 1).
Step-by-step explanation:
The possible answer choices are all versions of the standard equation of a straight line: Ax + By + C = 0. If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B. Only the first answer choice passes here: with +2x and +1y, the slope is -2. This automatically eliminates the other possibilities.
Looking at the first answer choice, we see that A must be 2 and B must be 1
so that the slope is m = -2. Writing out this equation: Ax + By + C = 0.
Replace A with 2 and B with 1: 2x + y + C = 0.
Finally, replace x with -1 and y with -3: 2(-1) + (-3) + C = 0.
Solving this for C, we get -2 - 3 + C = 0, or -5 + C = 0, or C = 5.
We end up with 2x + y = -5 (which is Answer 1).
Which is 34,513 closer to, 35,000 or 34,000?
Answer:
35,000
Step-by-step explanation:
~Because it's over 500~
Answer: 35000
Step-by-step explanation: 34,513 use the rule of rounding 5 or more add one more = 35000
