Answer:
42
Step-by-step explanation:
The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number?
Answer:
x = 8
Step-by-step explanation:
Let the number = x
x/6 - 1/3 = x/8
-1/3 = x/8 - x/6
-1/3 = (6x-8x)/48
-1/3 = -2/48x
Divide both sides by -2/48
x = -1/3 ÷ -2/48
= -1/3 × -48/2
= 48/6
= 8
x = 8
The number = 8
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
can someone anyone please help me asap
Answer:
the answer is option : D
Step-by-step explanation:
multiply 9 with the given hrs to find the correct one
please help. i will mark brainliest for whoever is correct.
Answer:d) g(x)=x^1/3-1.5
Step-by-step explanation:
A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.
H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?
A. (x,y) -> (3x, 3y)
Original
B. (x,y) -> (2.5x, 2.5y)
C. (x,y) -> (2x, 2y)
D. (x,y) -> (1.5x, 1.5y)
Answer: B
Step-by-step explanation:
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
Match the following equation to the correct situation.
s − s(21%) = s(79%)
A.
the price for a shirt that originally cost s after a 21% discount
B.
the amount that Anis owes on his car was 21% of s
C.
the amount that Katie paid for a pair of jeans with 21% tax on s
D.
the amount Doug gave to the local heart association was 21% of s
Answer: A. the price for a shirt that originally cost s after a 21% discount
Step-by-step explanation:
ago
7
.
15
6
7
10. Which of the following could be the
perimeters of the three squares below?
A. 12 ft, 16 ft and 20 ft
B. 20 ft, 16 ft and 24 ft
C. 40 ft, 80 ft and 120 ft
D. 16 f1, 24 ft and 28 ft
Maneuvering the Middle LLC, 2017
Answer:
where are the squares?
Step-by-step explanation:
i need help on this
Answer:
(500÷1.8)÷60
By dividing 1.8 out of 500, u can know
Mai skated x miles, and Clare skated ⅗ farther than that. Write an expression for the distance Clare skated.
Answer:
Its either 8x/5 or 5x/8
im not sure sorry.
add 7 to 5, then divide b by the result
Answer:
you didnt say what b was but itd be 12/b
Step-by-step explanation:
Answer:
b/12
Step-by-step explanation:
whats b?
7 + 5 = 12
so whatever b is, divide that by 12
b/12
7x-6y=9
5x+2y=19 Solve the system using elimination.
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
please hellp find x y and z
Answer:
angle x = 98
angle y = 82
angle z = 82
Step-by-step explanation:
angle y + 98 = 180; therefore, angle y = 82 degrees
angles z and y are alternate interior angles and are congruent (equal)
angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)
Solve for x
PLS HURRY
Simplify 6° = 63
O A. 126
O B. 66
O C. 6-6
O D. 63
Answer:
i think its c 6-6 so good luck
hey, can somebody help me please and thank you. :)
what is the 7th term of the geometric sequence for 400, 200,100,....
Step-by-step explanation:
400,200,100,50,25,12.5, ...... 0.78125
Ben is a farmer. He used 518 pounds of fertilizer on 16 acres.
How many pounds of fertilizer does Ben use per acre?
Answer:
32.375 or 32 with a remainder of 3
Step-by-step explanation:
Please help me vote brinlest
Answer:
14 > 6
Step-by-step explanation:
because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number
Figure #2
2. What is x?
А 58
C 122
990
B
48
D
218
42
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
Easy points, what’s 9+10?
Answer:
19
Step-by-step explanation:
If you want to show an increase to the original quantity, how could you change the bar diagram?
Answer:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
Step-by-step explanation:
The model represents the equation 3x - 2 < 4 what is the solution for this inequality
Answer:
x < 2
Step-by-step explanation:
3x - 2 < 4
+ 2 | + 2
------------------
3x < 6
↓
(3x) / 3 < 6 / 3
↓
x < 2
I need help please and thank you
What is the slope of line P? And then what is the slope of line Q?
Please help ASAP help please
Answer:
The ladder is 10 ft long...
For the current reaction, 2NO2 ↔ N2O4, we have:
Kc = [tex]\frac{[N_{2} O_{4}]}{[NO_{2}]^{2} }[/tex]
Concentration of NO2 = 11.95
Concebtration of N2O4 = 6.05
Based on the current concentrations of NO2 and N2O4, what is Kc?
[tex]\displaystyle K_c \approx 0.0424[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightChemistry
Equilibrium
Equilibrium Constant KConcentrations - Denoted in [Brackets]Step-by-step explanation:Step 1: Define
[RxN] 2NO₂ ⇆ N₂O₄
[Equilibrium Rate Law] [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]
NO₂ = 11.95 M
N₂O₄ = 6.05 M
Step 2: Find K
Substitute [ERL]: [tex]\displaystyle K_c = \frac{[6.05]}{[11.95]^2}[/tex]Exponents: [tex]\displaystyle K_c = \frac{[6.05]}{[142.803]}[/tex]Divide: [tex]\displaystyle K_c = 0.042366[/tex]Round (Sig Figs): [tex]\displaystyle K_c \approx 0.0424[/tex]This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).