Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
I need help with this
[tex]8 \sqrt{72} [/tex]
how to solve ??
Answer:
[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]
48√2 is the right answer.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:
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
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.
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).
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
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
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
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
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
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
What is the slope of line P? And then what is the slope of line Q?
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
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:
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:
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
Someone please help me with this I really don’t know how to do this.
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
yall please help me with this math question :/
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
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
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
i need help on this
Answer:
(500÷1.8)÷60
By dividing 1.8 out of 500, u can know
38=p−15
PLEASE HELP MEHHHHH
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
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....
plzzzzzzzzzzzzzzzzzzz
Answer:
70x
Step-by-step explanation:
8x8 = 64x then +6x = 70x
Answer:
[tex]2x(4x+3)[/tex]
Step-by-step explanation:
The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.
So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849