Answer:
x=-3/5
Step-by-step explanation:
3(x + 5) = 2(4x + 9)
First, distribute:
3(x)+3(5)=2(4x)+2(9)
3x+15=8x+18
-5x= 3
x= -3/5
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.
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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: 6:15:11Which 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.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2, 3)
Step-by-step explanation:
First of all, let us understand what does a linear system mean.
A linear system means a mathematical model that contains more than one linear equations.
Linear equations mean maximum power of the variable is 1.
Now, how to solve for system of linear equations.
There are two methods to solve the system:
1. From equations: A linear equation is generally written as:
[tex]Ax+By+C=0[/tex]
Two such equations are solved for the values of [tex]x[/tex] and [tex]y[/tex].
2. From Graph:
The intersecting point of the graphs of the equations is the solution of the system of linear equations.
Now, let us consider the given graph of two lines.
The intersecting point is (2, 3)
Where 2 is the value of x coordinate and
3 is the value of y coordinate.
So, solution is (2, 3)
Please refer to the attached image for the answer.
We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)
A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.
So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).
If you want to learn more, you can read:
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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
please help im stuck on this one i font know how to do inverse operarions
Answer:
107.500
Step-by-step explanation:
5.450.000-75.000=5.375.000
5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000
430.000:4=107.500
+ and - ,
* and :
are inverse operations
Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.
verifying :
107.500*4*12 1/2+75.000=5.450.000
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.
simplify: 3x(x^2 + 4x - 5)
Answer:
3x^3+ 12x^2-15x
Step-by-step explanation:
First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.
Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2. There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.
Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.
I hope this helped :)
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)
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? *
What is a term used to describe two-dimensional figures with all sides and all angles congruent?
Answer:
congruent figures
Step-by-step explanation:
One-third of the students in the marching
band signed up for the pep band. Then, fiveT
students changed their mind. If there are 31
students in the pep band, how many students
are in the marching band?
Answer:
108
Step-by-step explanation:
There are 31 students in the pep band. One third of students in the marching band signed up, and 5 changed their mind. 31 + 5 = 36, and 36 x 3 = 108. 36 is one third of 108 and there are 108 students in the marching band.
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?
10. In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length.
Please show all work and not just answers.
Answer:
GH=5
HI=5
IJ=5
JK=9
Step-by-step explanation:
GK=24
HJ=10
GH=HI=IJ.
Let GH, HI, IJ be x
therefore,
HI+IJ=10
=>x+x=10
=>2x=10
=>x=10/2
=>x=5
HI=IJ=GH=5
GH+HI+IJ+JK=GK
=>5+5+5+JK=24
=>15+JK=24
=>JK=24-15
JK=9
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.
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
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].
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 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:
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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:
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
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 map of the town that Annie, Barbara, and Charlie live in can be represented by the Cartesian plane. Annie is located at $(6,-20)$ and Barbara is located at $(1, 14)$. They agree to meet at the closest point that is equidistant from their current locations and walk upwards together to get to Charlie's location at $\left(\frac{7}{2}, 2\right)$. How many units upward do Annie and Barbara walk together to get to Charlie?
Answer:
5 units
Step-by-step explanation:
Annie is located at (6,-20) and Barbara is located at (1, 14) and they meet at a point equidistant to their current locations.
This means that they have to meet at the midpoint between their two locations. Let the coordinate of the midpoint be (x,y) hence:
[tex]x=\frac{x_1+x_2}{2}=\frac{6+1}{2} =\frac{7}{2}[/tex]
[tex]y=\frac{y_1+y_2}{2}=\frac{-20+14}{2} =-3[/tex]
The point at which they met is at (7/2, -3). Charlie location is at (7/2, 2). Hence the distance upward that they have to move = 2 - (-3) = 5 units
They have to move 5 units upwards
Tell whether the equation is true or false. *
3
60 = 20
O True
O False
Question 1 1 pts Evaluate the expression 5.2 - 3y + 7 for x = -4 and y = -6
Answer:
30.2
Step-by-step explanation:
5.2 - 3y + 7
Let y= -6
5.2 -3(-6) +7
5.2 +18 +7
30.2
Just substitute and solve.
5.2 - 3(-6) + 7
5.2 - (-18) + 7
23.2 + 7
30.2
Best of Luck!
An answer from the smarter
a+7(a+b)-8(a+b)+b???
Answer:
0
Step-by-step explanation:
Given
a + 7(a + b) - 8(a + b) + b ← distribute both parenthesis
= a + 7a + 7b - 8a - 8b + b ← collect like terms
= a + 7a - 8a + 7b - 8b + b
= 0
Answer:
0
Step-by-step explanation:
a+7a+7b-8a-8b+b
combining like terms
a+7a-8a+b+7b-8b
8a-8a+8b-8b
0
(- 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]
If x° and 50° form a linear pair, find xº
Answer: 130°
Step-by-step explanation:
Concept to know:
Linear pair: two angles that forms one line
One line: 180°
-------------------------------------------------------------
x+50=linear pair
x+50=180
x=130°
Hope this helps!! :)
Please let me know if you have any question
The table shows the number of the free throws each player made during the last basketball season determine if each statement is true or false
Answer:
True
Step-by-step explanation:hi
Select 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
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)