Write an equation for the following scenario. The sum of 2 times a number and 8 is equal to 3 less than that number.
Answer: 2n + 8 = n -3
Step-by-step explanation:
In this scenario we will represent that number by the variable n.
So two times the number will be 2n plus 8 is 2n +8 and it has to equal 3 less that number so it will be n-3.
A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost?
Answer:
The total cost is $850
Step-by-step explanation:
From the function
C = 2T + 250
where
T is the number of T-shirts they purchase.
If the the shop purchases 300 T-shirts, then it means
T = 300
substituting into the function, we have
C = 2(300) + 250
C = 600 + 250
c = $850
how do you dilate a point on a graph?
Answer:
If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3. That is where you put your new point.
Step-by-step explanation:
i found this on google
what is x to the power of two =36 over 121
Answer:
x = ± [tex]\frac{6}{11}[/tex]
Step-by-step explanation:
Given
x² = [tex]\frac{36}{121}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{36}{121} }[/tex] = ± [tex]\frac{\sqrt{36} }{\sqrt{121} }[/tex] = ± [tex]\frac{6}{11}[/tex]
Daniel went to Target and bought a basketball for $ 21.85 and a shirt for $12.68. Daniel received $ 0.47 in change. How much did Daniel give the cashier?
Answer:
$35
Step-by-step explanation:
To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.
What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?
a.Radicals in the denominators of fractions are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.
b.Complex numbers in a fraction are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.
c.Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.
d.Complex numbers in a fraction are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the fraction, which is the conjugate of the denominator.
Answer:
C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.
Step-by-step explanation:
Graph h(x) = 4x + 4 + 3.
Help me plz
Answer:
h(x)=4x+7
Step-by-step explanation:
4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.
(-2,1)
(0,7)
(-1.75,0)
What would be the answer for -2 -12n=-303
Answer:
25.08
Step-by-step explanation:
-12n - 2 = -303
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, n. Do the opposite of PEMDAS.
First, add 2 to both sides:
-12n - 2 (+2) = -303 (+2)
-12n = -303 + 2
-12n = -301
Next, divide -12 from both sides:
(-12n)/-12 = (-301)/-12
n = -301/-12 = 301/12
n = 25.08 (rounded).
Given x=-3, y=6, and z=-4 2z-3y+4x=
Solution:
Given, x=-3, y=6 and z=-4
Putting the value in the given equation: 2z-3y+4x, we will get,
=2(-4)-3(6)+4(-3)
=-8-18-12
=-38
Marcus is putting new tiles on his kitchen fllor. The kitchen floor is 6.1 feet wide and 9.5 feet long. How many square feet of tile will Marcus need to purchase?
Answer:
57.95
Step-by-step explanation:
The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.
If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.
If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.
find two numbers with a sum of 129 and a difference (equation only)
Answer:
x + y = 129
with possible solution
128 and 1
Step-by-step explanation:
128 + 1 = 129
There are infinitely many solutions if you don't specify the difference.
Given the points C(-1,-5) and D(-7,11) find the coordinates of point E on CD such that the ratio of CE to ED is 5:3.
((Yes im this stupid, please help-))
Answer:
The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].
Step-by-step explanation:
Let be [tex]C = (-1,-5)[/tex], [tex]D = (-7,11)[/tex] and [tex]\frac{CE}{ED} = \frac{5}{3}[/tex]. The given ratio can be translated vectorially into this:
[tex]\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}[/tex]
And let consider that each point is a vector with respect to origin:
[tex]\vec C = (-1, -5)[/tex] and [tex]\vec {D} = (-7,11)[/tex]
Then,
[tex]\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)[/tex]
[tex]\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]
[tex]\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]
[tex]\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C[/tex]
[tex]\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)[/tex]
[tex]\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)[/tex]
[tex]\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)[/tex]
[tex]\vec{E} = \left(-\frac{19}{4}, 5\right)[/tex]
The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].
Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays?
Answer:
EA, EB, EC and ED are opposites rays.
Step-by-step explanation:
Given that,
Line AB and line CD intersect at point E.
According to figure,
We need to find opposite rays
Using diagram
We draw a first line AB and second line CD which is intersect of AB at point E.
Now, EA and EB is called opposite ray of first line AB.
Similarly,
EC and ED is called opposite ray of first line CD.
Hence, EA, EB, EC and ED are opposites rays.
help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
Answer and Step-by-step explanation:
y=6x² +2x - 20
let a=6
let b= 2
let c = -20
Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
using Quadratic Formula
-b ± √( b² - 4ac)
2a
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √(484)
2*6
20/12 = 5/3
-24/12 = -2
the answers are 5/3 ; -2
use by Factoring
0=6x² +2x - 20
0 =2( 3x² +x - 10)
=2 ( 3x-5) ( x+2)
by using the zero product property
3x-5 = 0
x+2 = 0
3x=5
x =-2
x = 5/3
x = -2
by using completing the square
y=6x² +2x - 20 Add 20
20=6x² +2x Divide by 6
20/6 = x² +2/6x
10/3 = x^2 +1/3x Take the coefficient of x and divide by 2
1/3 /2 = 1/6 Square it
(1/6) ² = 1/36 Add it to both side s
10/3 + 1/36 = x² +1/3x+ 1/36
120/36 + 1/36 = ( x+ 1/6)²
121/ 36= ( x+ 1/6)² Take the square root of both side
√(121/ 36) = √( ( x+ 1/6)²)
±11/6 = x+1/6 Subtract 1/6 from both side
-1/6 ±11/6 = x
-1/6 - 11/6 = x
-1/6 + 11/6 = x
-12/6 =x
10/6 =x
x = -2
x = 5/3
by using a graphing computer
Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *
Tell whether the equation is true or false. *
3
60 = 20
O True
O False
Which statements are true about the table of values? Check all that apply.
xy = 3
When x = 3, y = 1.
x varies directly with y.
k =
The graph of this table would not be linear.
Answer:
A B and E
Step-by-step explanation:
The statement that is true about the equation xy = 3 is:
When x = 3, y = 1.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
xy = 3
When x = 3, y = 1
Substitute x = 3.
3 x y = 3
y = 1
This is true.
Now,
x varies directly with y.
This means,
x ∝ y
But xy = 3
x = 3/y
This is not possible.
Now,
The graph of this table would not be linear.
xy = 3
x = 1, y = 3
x = 2, y = 3/2 = 1.5
x = 3. y = 1
x = 4, y = 3/4 = 0.75
The rate of change is not the same.
So,
xy = 3 is not linear.
Thus,
When x = 3, y = 1 statement is true.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Solve for y:
2y-2=4y+2
Answer:
2y-4y=2+2.
-2y=4.
y= -2.
Answer:
y=−2
Step-by-step explanation:
Step 1: Subtract 4y from both sides.
−2y−2=2
Step 2: Add 2 to both sides.
−2y=4
Step 3: Divide both sides by -2
y=−2
HELP ASAP WILL gIVE BRAINLIsT
Answer:
(4,0)
Step-by-step explanation:
it went to the right 3, so needs to go to the right 9 more.
It went down 2, so needs to go down 6 more.
-5+9=4
6-6=0
what is the image of the point (-3,5) after a rotation of 90 counterclockwise about the origin
Answer:
(5, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
(- 3, 5 ) → (5, 3 )
Answer:
(-5,-3)
Step-by-step explanation:
What is a term used to describe two-dimensional figures with all sides and all angles congruent?
Answer:
congruent figures
Step-by-step explanation:
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Answer:
6:15:11
Step-by-step explanation:
We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.
If you would like more help on math or other subjects for FREE, check out growthinyouth.org.
Answer:
6:15:11
Step-by-step explanation:
men:women:children = 24:60:4424, 60, and 44 can all we divided by 4. 24 ÷ 4 = 660 ÷ 4 = 1544 ÷ 4 = 11Put them together: 6:15:11Select the correct answer. Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute? A. 3 B. 8 C. 18 D. 48
Answer:
D.
Step-by-step explanation:
p=3s
p=3(16)
p=48 pencils
Evaluate this expression: 3x + 9x -5
Answer:
12x - 5
Step-by-step explanation:
3x + 9x - 5 can be easily simplified by combining like terms.
3x and 9x are like terms because they both contain the same variable and the same exponent (understood to be 1).
Therefore, because an addition sign separates the two terms, it is expected of you to add the two together. To do this, just add the terms together as you would any other terms.
3x + 9x = 12x
Because the 5 is the only constant in the equation, it cannot be combined with anything else.
The simplified expression is 12x - 5.
Which of the following statements must be true?
Answer:
A
Step-by-step explanation:
Since ΔDEF has only been rotated, we know that ΔDEF ≅ ΔJKL. Using CPCTC, we can see that the answer is DF = JL which is A.
(- 5x^-2y) + (6x^7y^-1)+7x^5
Answer:
[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]
Step-by-step explanation:
Step 1: Write out expression
-5x⁻²y + 6x⁷y⁻¹ + 7x⁵
Step 2: Move negative exponents to denominator
*x⁻² and y⁻¹ have to be moved. Everything else stays.*
[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]
In 2011 Clayton Kershaw earned $500,000 pitching for the LA Dodgers. In 2019, his salary was $31,000,000. Answer the three parts below. Clearly show all work and reasoning.
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
C) Did he earn more per game in 2019 than he did for the entire 2011 season?
Answer:
A. $15,625 per game
B. $1,107,142.86 per game
C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season
Step-by-step explanation:
His salary in 2011 = $500,000
His salary in 2019 = $31,000,000
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
Kershaw's salary per game = Total salary / Total number of games
= $500,000 / 32 games
= $15,625 per game
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
Kershaw's salary per game = Total salary / Total number of games
= $31,000,000 / 28 games
= $1,107,142.8571428
To the nearest cents
= $1,107,142.86 per game
C) Did he earn more per game in 2019 than he did for the entire 2011 season?
$1,107,142.86 per game - $500,000
= $607,142.86
Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season
Answer:
A. $15,625 - game
B. $1,107,142.86 - game
C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)
A cell phone beeps every 4 minutes. Another cell phone beeps every 5 minutes. What are the first three times that the cell phones beep at the same time?
Answer:
20, 40, 60
Step-by-step explanation:
We can find the LCM by making a list which is my favorite way.
Cell phone number 1: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
Cell phone number 2: 5, 10, 15, 20, 25, 30, 35 40, 45, 50, 55, 60
Answer:
The first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.
Step-by-step explanation:
Let the first cell phone be A, that is, A beeps every 4 minutes
and let the other cell phone be B, that is, B beeps every 5 minutes.
Cell phone A will be at the 4th, 8th, 12th, 16th and 20th minutes while cell phone B will beep at the 5th, 10th, 15th and 20th minutes. Hence, the first time the cell phones will beep together is the 20th minute.
Cell phone A will then beep at the 24th, 28th, 32nd, 36th and 40th minutes while cell phone B will beep at the 25th, 30th, 35th and 40th minutes. The second time the cell phones will beep together is the 40th minute.
Cell phone A will beep at the 44th, 48th, 52nd, 56th and 60th minutes while cell phone B will beep at the 45th, 50th, 55th and 60th minutes. The third time the cell phones will beep together is the 60th minute.
Hence, the first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.
Write this decimal in percent form. .24
Answer:
24%
Step-by-step explanation:
To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.
0.24 = 24%
Answer:
24%
Convert.
.24/0.24 = 24%
24% is your answer. Hope this helps.
A climber is suspended 54 feet below a cliff by a rope. If
she were to climb 18 feet up the rope, how many feet below
the cliff would she be then?