Answers
Answer:
I believe the last answer is correct
Step-by-step explanation:
9514 1404 393
Answer:
[tex]\dfrac{2}{3}x-\dfrac{13}{12}=-\dfrac{5}{12}x[/tex]
Step-by-step explanation:
There are a couple of ways to get equivalent equations. We can collect the constants on one side of the equal sign, or we can collect the variable terms on one side of the equal sign.
Constants:
[tex]\dfrac{2}{3}x-\dfrac{5}{6}=-\dfrac{5}{12}x+\dfrac{1}{4} \qquad\text{given}\\\\ \dfrac{2}{3}x-\dfrac{10}{12}-\dfrac{3}{12}=-\dfrac{5}{12}x \qquad\text{subtract $1/4=3/12$}\\\\ \dfrac{2}{3}x-\dfrac{13}{12}=-\dfrac{5}{12}x \qquad\text{matches last choice}[/tex]
Note that if we add 13/12 to this equation, the constant will be on the right, as in the second choice. However, that constant will be 13/12, not -7/12, so the second choice is not equivalent.
__
Variable terms:
[tex]\dfrac{2}{3}x-\dfrac{5}{6}=-\dfrac{5}{12}x+\dfrac{1}{4} \qquad\text{given}\\\\ \dfrac{8}{12}x+\dfrac{5}{12}x-\dfrac{5}{6}=\dfrac{1}{4} \qquad\text{add $\dfrac{5}{12}x$}\\\\ \dfrac{13}{12}x-\dfrac{5}{6}=\dfrac{1}{4} \qquad\text{not equivalent to 3$^{\text{rd}}$ choice}[/tex]
Note that if we subtract 13/12x from both sides of this equation, the x-term will be on the right, as in the first choice. However, it will be -13/12x, not 1/4x, so the first choice is not equivalent, either.
The last offered choice is the equivalent equation.
Related Questions
Evaluate (1/9)2•(3/4)2
Answers
Answer:
exact form:1/3
Step-by-step explanation:
150% of 50 is what number?
Answers
Answer:
75
Step-by-step explanation:
150%= 1.5
1.5 x 50= 75
Hope this helps!
At a resort, the housekeeper and the concierge may have different levels of education and perform different tasks in their lines of work, but they both still work in the Lodging pathway of the Hospitality and Tourism cluster. Question 1 options: True False
Answers
Answer:
the answer is true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The test said it is right
Multiply 2 [4 1 0 -2 ]
Answers
Answer:
[ 8 20 -4 ]
Step-by-step explanation:
2[4 10 -2 ]
=[8 20 -4]
$100 into a savings account that earns 6% annual intrest compounded monthly for 5 years
Answers
Answer:
$141.94
Step-by-step explanation:
Basically multiply 100 by .06, add the answer too 100. Which gets 106.
Multiply 106 by .06 and add the answer to 106, do that 5 times(which counts as the five years) and vuala, you got your answer.
And since it said an annual
interest, then the monthly compounding doesn't matter.
Write the equation of the line, in slope-intercept form, that has a slope of -8/5and contains the point
Answers
Answer:
y = -8/5x + 23/5
Step-by-step explanation:
Complete question
Write the equation of the line, in slope-intercept form, that has a slope of -8/5and contains the point (6, –5)
The equation of a line in pint slope form is expressed as;
y - y0 = m(x-x0)
Given
m = -8/5
(x0, y0) = (6, -5)
Substitute into the formula
y - (-5) = -8/5(x-6)
y+5 = -8/5(x-6)
Multiply through by 5
5(y+5) = -8(x-6)
5y + 25 = -8x + 48
5y = -8x +48 - 25
5y = -8x + 23
y = -8/5x + 23/5
Hence the equation in slope intercept form is y = -8/5x + 23/5
help anyone? its pretty easy im just lazy
Answers
Sean paints 8/15 of a fence in 1 hour. He paints 3/10 of the fence less in the second hour. What fraction of the fence did he paint in two hours? Did he finish the job in two hours?
Answers
Answer: [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Given
Sean paints [tex]\frac{8}{15}[/tex] of a fence in 1 hour
Sean paints [tex]\frac{3}{10}[/tex] part less in the second hour
So, fraction he paints in the second hour = [tex]\frac{8}{15}-\frac{3}{10}=\frac{16-9}{30}=\frac{7}{30}[/tex]
Paint in 2 hours = [tex]\frac{8}{15}+\frac{7}{30}=\frac{16-7}{30}=\frac{9}{30}[/tex]
=[tex]\frac{3}{10}[/tex]
No, he did not finish his job
What is 58.65 divided by 6.9
Answers
Answer:
8.5
Step-by-step explanation:
58.65/6.9= 8.5
Answer:
Step-by-step explanation:
HELP PLZZZZZZZZZZ I WILL GIVE BRAINLIEST
Answers
Solve for x: -4x - 12 < 12
Answers
Seems like you are an imposter ;). This is Middle School math.
Anyways...
Answer:
x>6
Step-by-step explanation:
-4x-12<12
Add 12 on both sides.
-4x<24
Divide both sides by -4 to isolate x. Remember that if you are dividing by a negative, flip the sign!
x>6
Hope this helps!
What is the distance between the following points?
Answers
Answer:
11
Step-by-step explanation:
there are 11 spaces between the points
just count the number of spaces, no calculations needed.
What is the answer of 463 divided by 60?
Answers
Answer: 7.71666667
Step-by-step explanation:
HELP PLEASE WILL GIVE I 100 POINTS And mark brainly
Answers
Answer:
-9/3 or -3
Step-by-step explanation:
[tex]Slope= \frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Lets start with the y's, substitute:
-6-3=-9
Then the x's, substitute:
5-2=3
Substitute back into the fraction:
-9/3 or
-3
Answer:
m = -3
Step-by-step explanation:
y2-y1
--------
x2-x1
-6-3/5-2
-9/3
-3
Therefore, your answer for slope would be m = -3
Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answers
Answer:
23560
Step-by-step explanation:
3% of 19k is 570
570*8=4560
4560+19000=23560
What does y stand for in math
Answers
Answer:
The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"
Step-by-step explanation:
Answer:
In math a letter is always a variable. If you are solving an equation and the letter y is there you have to solve for y. So in math y stands for a variable.
Step-by-step explanation:
Find the set of values of x for which x^2-x-6>0 and 10-2x<5
Answers
Answer:
No Solution.
Step-by-step explanation:
For starters, here are our two equations:
[tex](x^2-x-6)>0[/tex]
[tex]10-2x<5[/tex]
The first option is to solve for x in our second equation. First, we add 2x to both sides to get [tex]10<5+2x[/tex]. Then, we subtract 5 from both sides to get [tex]2x<5[/tex]. Finally, we divide both sides by 2 to get [tex]x<2.5[/tex]. We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.
Now we can plug in our values into our first equation. We now have the equation [tex]2.5^2-2.5-6>0[/tex]. We can simplify to get [tex]-2.25>0[/tex]. This test failed, so there are no solutions. A solution would be impossible.
Which list shows the integers in order from lest to greatest ? -8 , -5 , 0 , 2 , 6 0 , 2 , -5 , 6 , -8 -5 , -8 , 0 , 2 , 6 0 , -8 , -5 , 2 , 6
Answers
Answer:
a.-8,-5,0,2,6
Step-by-step explanation:
We have to find the list which shows the integers in order from least to greatest.
We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.
a.-8,-5,0,2,6
-8<-5<0<2<6
Hence, it is true.
b.0,2,-5,6,-8
-8 least and 6 is greatest
Therefore, it is false.
c.-5,-8,0,2,6
It is false.
d.0,-8,-5,2,6
It is false.
Option a is true,
Are these fractions equivalent or nonequivalent?
4x/7y 8x/14y
Answers
Answer:
[tex] \frac{8x}{14y} = \frac{ \frac{8x}{2} }{ \frac{14y}{2} } = \frac{4x}{7y} \\ [/tex]
Hence, they are equivalent.
i need to find the slope from two points i don’t know how to do this!show work please
Answers
Answer:
2
Step-by-step explanation:
Ok, so they gave you these two points, since I can't actually graph it, then we can just make a table...
x y
4 6
6 10
From 6 to 10, you add 4 (this is for the y section)
From 4 to 6 you add 2 (this is for the x section)
Now you need to divide the y by the x....
y/x = 4/2 = 2
And 2 will be the answer for your slope, given these 2 points.
Hope this helped!
Which equation has a solution of 34 for y?
4y=6
y−1=−14
214+y=4
8y=9
Answers
Answer:
I believe there is an error because none of them are the answers
Step-by-step explanation:
4y=6
y=6/4
y-1=-14
y=-13
214+y=4
y=-210
8y=9
y=9/8
Write an equation of the line with a slope of 2/3 and y-intercept of −8.
Answers
Answer:
F(x)=2/3x-8
Step-by-step explanation:
Find the distance between the ordered pairs. A (-1, 7) , B (5, 7)
Answers
Answer:
[tex]\displaystyle d = 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A(-1, 7)
Point B(5, 7)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(5--1)^2+(7-7)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(5+1)^2+(7-7)^2}[/tex](Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(0)^2}[/tex][√Radical] Exponent: [tex]\displaystyle d = \sqrt{(6)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 6[/tex]5(4x) please help me out here!
Answers
You’ll get 20x
Answer: 20x
2/5 of a number is 40. What is 1/10 of the number
Please help me
Answers
Answer:
10
Step-by-step explanation:
Answer:
1/10 of the number is 10.
Step-by-step explanation:
We know that 40 is 2/5 of this unknown number, so 4/5 would be 80. Then, to fill up the other 1/5, we must split 40 into half.
1/2 of the number 40 is equal to the number 20.
80 + 20 = 100, so 5/5 would be equal to 100.
Now, we have to find one tenth of the number 100.
1/10 of the number 100 is the number 10. (1/10 of 100 = 10)
The answer to the question is 10.
Which two points are on the graph of y=x+3?
Answers
Answer:
(0, 3) and (-3, 0) are just two out of an infinite number of other points
Step-by-step explanation:
I found these 2 points by plugging in 0 for x and y would equal 3
Then I plugged in 0 for y and x would equal -3
What’s 7^4 simplified
24 POINTS HELP QUICK AA
Answers
Answer:
2401
Step-by-step explanation:
because 7*7*7*7=2401
Answer:
2,401
Step-by-step explanation:
The question states what is 7^4 simplified, meaning what is 7 to the 4th power!!
=2,401
HELP PLEASEEEE it’s due in 10 minutes
Answers
Answer:
24.187
Step-by-step explanation:
what do i write i need help so i can do this
Answers
Answer:
Step-by-step explanation:
First what you want to is subtract 7 from both sides, then you want to divide -2/3 from both sides.
To isolate the variable you need to remove the terms from the side with the variable to remove the terms you need to do the same thing on both sides.
-2/3n + 7 = 15
First step is to subtract 7 from both sides to get:
-2/3n = 8
Now divide both sides by -2/3 to get:
N = 8 / -2/3
Then to solve for n simplify to get:
N = -12
Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The next week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?
Answers
Answer:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
Step-by-step explanation:
Let us represent:
Cost of Wedding cakes = x
Cost of Birthday cakes = y
Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.
2x + 5y = 500..... Equation 1
The next week they made 1 wedding cake and 7 birthday cakes but only made $430.
x + 7y = 430..... Equation 2
x = 430 - 7y
We substitute 430 - 7y for x in Equation 1
2x + 5y = 500..... Equation 1
2(430 - 7y ) + 5y = 500
860 - 14y + 5y = 500
860 - 500 = 14y - 5y
360 = 9y
y = 360/9
y = $40
Solving for x
x = 430 - 7y
x = 430 - 7(40)
x = 430 - 280
x = $150
Therefore:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
