Answers
Related Questions
Which of the following ordered pairs is a solution of the system?
x + 3y = 12
y-x=12
Answers
Answer:
Step-by-step explanation:
Step by step
We have two equations
I like to label them first
x + 3y = 12 we will call A
y - x = 12 we will call B
I like to have the equations be in y intercept form to make the math easier
So I will change equation A to
3y = -x + 12
and change B to
y = x + 12
Now we will substitute the value of y of equation B into equation A
3(x + 12) = -x + 12
distribute
3x + 36 = -x + 12
now Isolate x on one side by adding x to both sides
3x + x + 36 = -x + x + 12
Combine like terms
4x + 36 = 12
Now subtract 36 from both sides to isolate x
4x +36 -36 = 12 - 36
Combine terms
4x = -24
Now solve for x by dividing both sides by 4
4/4x = -24/4
x = -6
Now to find y
Substitute your x value into equation B
y = x + 12
y = -6 + 12
y = 6
So your answer is (-6 , 6)
Check your work with equation
x + 3y = 12 from the original question
Substitute x and y values
-6 + 3(6) = 12
-6+18 = 12
12 = 12
Now do the same with the other equation
y - x = 12
6 - (-6) = 12
6 + 6 = 12
12 = 12
Both are Correct, so problem solved
Jasmine wants to buy a car marked at $5200 at a second hand car dealer. The deposit is two-fifth of the price of the car
for the next weck's delivery. Jasmine's father helped her in the deposit by paying 30% of the price. Will jasmine have
enough for her car deposit? If not, how much more does she need to add to get the deposit?
Answers
Jasmine will not have enough for the car. The amount more that she needs is $520.
Will Jasmine have enough for the car?
The first step is to convert the fraction that represents the amount needed as a deposit to percentage.
(2/5) x 100 = 40%
Difference in the deposit and the amount Jasmine's father deposited: 40% - 30% = 10%
Amount more that she needs : 10% x 5200 = $520
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Measure the length of AD & D B what is the ratio of AD to DB
Answers
Based on the calculations, the ratio of AD to DB is equal to 0.6.
What is a ratio?A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
From the graph, we have:
Length of AD = 1.5
Length of DB = 2.5
Ratio = AD/DB
Ratio = 1.5/2.5
Ratio = 0.6.
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Find the length of JN
Answers
The length of JN from the figure is 108
Measure of segment of a lineA line is the shortest distance between two points. Given the following parameters
Required
We need the length of JN
JN = JK + KN
JN = 59 + 49
JN = 108
Hence the length of JN from the figure is 108
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An interior wall is made up of metal studs with 5/8 gypsum board on each side if the actual width of a stud is 3 5/8 what is the total thickness of the wall
Answers
Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.
The measure of Arc B A C is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2
Answers
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
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Answer:c
Step-by-step explanation:
If a problem is 8(2x+4) = 2(1x+3) is the first step done of PEMDAS for THIS SPECIFIC PROBLEM parentheses or multiplication?
Answers
The first step is the parenthesis
How to determine the first step?The equation is given as:
8(2x+4) = 2(1x+3)
Using PEMDAS, the first step is to open the brackets by multiplication.
So, we have:
16x + 32 = 2x + 6
Hence, the first step is the parenthesis
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
Option D is correct
Step-by-step explanation:
there were no corn muffins sold.
Answer:
No corn muffins were sold at the bake sale :)
Step-by-step explanation:
Lets go thru each answer choice to see why it is incorrect/correct :)
A.
A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)
B.
This calls for adding! lets do that now :)
Chocolate chip: 5
Oatmeal: 1
Peanut: 3
6 + 1 + 3 = 10
10 < 11
10 is not greater than 11 so B is incorrect!! :)
C.
We need to add again so lets do that now!
Corn: 0
Muffin: 2
2 + 0 = 2
2 < 3
2 is less than 3 so C is incorrect!! :)
D.
It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D
Have an amazing day!!
Please rate and mark brainliest!!
Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive? 48 mph 104 mph 0.019 mph 53 mph
Answers
Answer:
53 mph
Step-by-step explanation:
We need to give the answer in terms of miles per hour. This means that we need to find out how many miles Joe needs to travel in one hour. Therefore, this is a ratio problem.
We can set up a proportion where the unknown variable is the number of miles driven in one hour:
[tex]\frac{106}{2} =\frac{x}{1}[/tex]
x is just 106/2, or 53. Therefore, Joe needs to travel 53 mph
What is the value of x? Show your work.
(Please hurry and see image for details.)
Answers
Answer:
7
Step-by-step explanation:
By the AA Postulate, triangles JKL and MNP are similar. Segment JK corresponds to segment MN, and segment JL corresponds to segment MP.
JK/MN = JL/MP
25/30 = 20/(4x-4)
25(4x-4) = 20*30
100x - 100 = 600
100x = 700
x = 7
A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?
Answers
The charges of entrance fee for a bus containing 30 people is $98
Equationlet
Fixed charge = xAdditional charge per person = yNumber of person = mCharges For 2 people = mx + y
14 = 2x + y
Charges For 4 people = mx + y
20 = 4x + y
14 = 2x + y
20 = 4x + y
subtract both equation20 - 14 = 4x - 2x
6 = 2x
x = 6/2
x = 3
Substitute x = 3 into
14 = 2x + y
14 = 2(3) + y
14 = 6 + y
14 - 6 = y
8 = y
Charges For 8 people = mx + y
= 8(3) + 8
= 24 + 8
= $32
Therefore,
Charges For 30 people = mx + y
= 30(3) + y
= 90 + 8
= $98
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The sine, cosine, cosecant, and secant functions have period _______; the tangent and cotangent functions have period _______.
Answers
The sine, cosine, cosecant, and secant functions have period 2π; the tangent and cotangent functions have period π.
Definition for Period of a Trigonometric Function :
The pause between any function's repetitions is known as the function's period. The duration of one complete cycle is the period of a trigonometric function. Trigonometric functions include three basic types: sin, cos, and tan, which have periods of -2π, 2π, and π respectively.
If a function repeats itself repeatedly at a predetermined frequency, it is said to be periodic. The formula for t is f(x) = f(x + p), where p is a real number that denotes the period of the function. Period is the interval between two occurrences of the wave.
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Question 5 of 15
What would be the best first step in solving this system
x²-3x + 2y = -4
y = 3x + 2
Answers
Now you can equate it with second one to get x
Answer:
Substitute y = 3x + 2 into x² - 3x + 2y = -4
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]
Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.
Substitute equation 2 into equation 1:
[tex]\implies x^2-3x+2(3x+2)=-4[/tex]
Expand the brackets and simplify so that the equation equals zero:
[tex]\implies x^2-3x+6x+4=-4[/tex]
[tex]\implies x^2+3x+4+4=0[/tex]
[tex]\implies x^2+3x+8=0[/tex]
Now use the Quadratic Formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Define the variables:
[tex]\implies a=1, \quad b=3, \quad c=8[/tex]
Substitute the values into the formula and solve for x:
[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]
Remember that [tex]i^2=-1[/tex]
[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]
Therefore, the solutions to the system of equations are:
[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]
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Identify the property being demonstrated for each expression.
3+ (5 + 7) = (3+5)+7
(3)[5(7)] = (3)[7(5)]
Intro
5+0=5
Dor
Answers
Solve to find the value for x in the linear equation: 3(−4x 5) = 12. 1. use the distributive property: 2. use the subtraction property of equality: 3. division property of equality: 3(−4x) 3(5) = 12 −12x 15 = 12 −12x 15 − 15 = 12 − 15 −12x = −3 x =
Answers
Answer:
1/4
Step-by-step explanation:
I think that you forgot the addition or the subtraction sign between -4x and 5. I will assume that it was an addition sign
3(-4x+5) = 12 Multiply everything in the parentheses by 3
-12x + 15 = 12 Subtract 15 from both sides
-12x = -3 Divide both sides by -12
x = -3/-12 = 3/12 =1/4
To solve the equation 1. 75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?
Answers
Divide both sides by 75 to isolate N
What ratios are equivalent to 12:9
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12:9}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12:9}[/tex]
[tex]\mathsf{= 12\div3 : 9 \div 3}[/tex]
[tex]\mathsf{= 4:3}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{4:3}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The line plot shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.
Answers
The measure that best describes the data is the median and the measure that might mislead the data is the mode
How to determine the mean, median and mode?The mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{20* 2 + 50 * 3 + 60 * 6 + 70 * 3 + 80 * 4 + 90 * 4 + 100 * 2 + 130 * 1}{25}[/tex]
This gives
[tex]\bar x = \frac{1770}{25}[/tex]
[tex]\bar x = 70.8[/tex]
So, the mean is 70.8
The median is the middle number, and the position is calculated using
Median = (n + 1)/2 th
This gives
Median = (25 + 1)/2 th
Median = 13th
The 13th element is 70
So, the median is 70
The mode is the data element with the highest frequency.
So, the mode is 60
The measure that best describes the dataThe line plot has outliers at 20 and 130.
This is so because 20 and 130 are far from other data values
When a dataset has an outlier, the best measure is the median
Hence, the measure that best describes the data is the median.
The measure that might mislead the dataThe measure that might mislead the data is the mode
This is so the highest occurring value does not necessarily represent the dataset
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Write an equation of the line passing through the point (8, 2) that is parallel to the line 6x - 9y = -7.
Answers
The equation passing through the point ()8, 2 and parallel to 6x - 9y = -7 is y = 6 / 7x - 2 / 7
How to find equation of a line?The equation of the line passes through the point (8, 2) and it is parallel to 6x - 7y = -7.
The equation of a line can be represented as follows;
y = mx + b
where
m = slope
b = y-intercept
Therefore, parallel line have the same slope.
6x - 7y = -7
7y = 6x + 7
y = 6 / 7 x + 1
m = 6 / 7
Hence, using (8, 2)
2 = 6 / 7 (8) + b
2 = 16 / 7 + b
b = 2 - 16 / 7
b = 14 - 16/ 7
b = - 2 / 7
Hence, the equation is y = 6 / 7x - 2 / 7
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Jenna collects stamps. She puts the same number of stamps on each page and then inserts each page into one of her two stamp books. One of her stamp books has a total of 840 stamps. The other has 1008. What is the largest number of stamps that Jenna could be putting on each page
Answers
168 is the largest number of stamps that Jenna could be putting on each page
What is the Greatest Common Factor?
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
So the largest number of stamps that Jenna could be putting on each page
would be gcd of 1008 and 840.
840 = 2 x 2 x 2 x 3 x 5 x 7
1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.
∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.
Hence 168 is the largest number of stamps that Jenna could be putting on each page
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Which type of arc requires another entity to specify its start point?
Answers
Copy DEF to the line so that S is the
vertex.
This task will be complete when you have
constructed an angle with vertex S that is
congruent to ZDEF.
Answers
Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.
How to construct an angle with vertex?
To copy an angle we observe the subsequent steps,
1). Mark a working line with the help of a straightedge.
2). Now we set a point S as the vertex of the angle.
3). Create an arc with a radius 'r' (any length ) from vertex S which bisects the working line V.
4). With the exact radius we mark an arc from point E which bisects the line ED and EF at G and H respectively.
5). Mark an arc from point G which bisects line EF at I.
6). Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.
7). Now join the points S and U.
Therefore we copy any angle.
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Find the volume of the sphere.
Answers
Answer:
268.08 (268)
Step-by-step explanation:
The volume of a sphere is 4/3*pie*r^3
If the value the discriminant is exactly O,
what is true about the graph of the
quadratic equation?
Answers
Identify the recursive formula for the sequence -3, 9, -27, 81, ....
Answers
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3
this indicates the sequence is geometric.
the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is
f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3
10 points please help me
Answers
a. Surface area = 172 cm²
Volume = 112 cm²
b. The surface area would be needed.
c. The volume would be needed.
How to Find the Surface Area and Volume of a Box?Surface area = 2(wl+hl+hw).
Volume = (length)(width)(height)
a. l = 7 cm
w = 2 cm
h = 8 cm
Surface area =2(wl+hl+hw) = 2·(2·7+8·7+8·2) = 172 cm²
Volume = (7)(2)(8) = 112 cm²
b. The surface area would be needed.
c. The volume would be needed to find the amount of juice the box will hold.
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Can someone please help me on this problem and show work pleasee I’m having trouble doing this!!!
Answers
Let’s start by stating the formula for the area of a rectangle,
A=LW
the letter a represents area, l represents length, and w represents width.
Next let’s substitute known values.
A=x(x+10)
Next let’s use the distributive property
A=(x(x))+(10(x))
Now simplify.
A=x^2 + 10x
So the equation for the area of this rectangle is A=x^2+10x
I believe this is the most simplified answer, please tell me if I am wrong and I will redo my work.
x^2 + 10x
What is the range of the function shown on the graph
Answers
Answer:
[tex]y \geq - 6[/tex]
Step-by-step explanation:
the range is all the y values shown in the graph, so as you can see, the y values are all those greater than or equal to -6
A recent survey at a local company showed that 300 employees, or 66⅔% of the company’s employees, carpool to work each day. How many employees work at this company?
I'm sorry for all this trouble just really need help I'm in summer school because I was gone most of the school year and its all online so i don't understand anything
Answers
Answer:
450 employees work at this company.
Step-by-step explanation:
300 = 2/3 of x
300 × 3 = 2x
900 = 2x
450 = x
The perimeter of a rectangle is 96 ft and the width is 22 ft what is the length of the rectangle
Answers
The length of the rectangle is 26ft.
What is the perimeter of a rectangle?
The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.What is the length of the rectangle with perimeter 96ft and the width 22ft?The perimeter of a rectangle is, P = 96 ft.
The width of the rectangle is, w = 22ft.
As we know the perimeter P of a rectangle is given by the formula, P=2l+2w
Therefore, substituting the values in the equation we get,
P = 2l + 2w
96 = 2l + 2*22
96 = 2l + 44
2l = 96 - 44
2l = 52
l = 52/2
l = 26
Hence, the length of the rectangle is 26ft.
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