Answer:
[tex]x = \frac{1}{5}y + 2[/tex] or [tex]x = \frac{y+10}{5}[/tex] (Not sure which one is preferred in your case)
Step-by-step explanation:
Key skills needed: Evaluating expressions
1) We are given: [tex]y = 5x-10[/tex]
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
-----> [tex]\frac{y+10}{5} = x[/tex]
4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]
or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]
(I am not sure which form is preferred one is preferred as the teacher matters)
Hope you understood and have a nice day!!
PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .
Which function best represents the relationship shown in the graph ?
A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10
Answer:
C
Step-by-step explanation:
Glad I could help!
Answer:
c
Step-by-step explanation:
rise/run
-20/2=-10 for the slope
Choose all the equations that have m =5 as the solution
A. m - 1 = 4
B. m + 4 = 20
C. m - 3 = 8
D. 22 + m = 25
E. 12 = m + 7
Answer:
A and E
Step-by-step explanation:
Plug 5 in for m in every equation, and see if the math works.
A.
[tex]m-1=4\\5-1=4\\\\[/tex]
A - works
B.
[tex]m+4=20\\5+4=9[/tex]
B - does not work
C.
[tex]m-3=8\\5-3=2[/tex]
C - does not work
D.
[tex]22+m=25\\22+5=27[/tex]
D - does not work
E.
[tex]12=m+7\\12=5+7[/tex]
E - works
Answer:
A and E just to make it quick hope this helps
Step-by-step explanation:
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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Please help with my exit ticket
9514 1404 393
Answer:
A. 2,144.66 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
The radius is half the diameter, so this can be written in terms of diameter as ...
V = (4/3)π(d/2)² = (π/6)d³
For a diameter of 16 inches, the volume is ...
V = (π/6)(16 in)³ ≈ 2,144.66 in³
The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days
Answer:
The stock lost $14 in 7 days
Step-by-step explanation: I know how to multiply.
The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
The price of a stock by decreased $2 each day for seven consecutive days
The price of a stock decreased by $2 per day for seven consecutive days.
Each day the cost is decreased by $2
Therefore, in 7 days the total reduction in cost is: 7×2= $ 14
So, the total change in the value of the stock is: -$ 14.
The total change in the value of the stock over the seven-day period is:
It decreased by $ 14
Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
Learn more about the arithmetic operation here:
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Please help me ASAP I’ll Mark Brainly
Answer:72
Step-by-step explanation:
Answer:
3(4 + 3 + 17)
Step-by-step explanation:
The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)
The artist realizes she has 49 ounces left . How many ounces of blue does she need to add
2 ounces of blue paint to every 7 ounces of yellow
Answer:
hwope this helps ＼(=^‥^)/’`
Step-by-step explanation:
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
ОО
7
O 14
48
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answer:d
Step-by-step explanation:
Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Answer:
20000÷20= the amount you need for the income price is 16000
Answer:
Step-by-step explanation:
Operating Income=$44,500−$2,500=$42,000.
So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence
Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.
BC -
Round your answer to the nearest hundredth.
B
?
35
A
с
2.
Answer:
BC ≈ 1.40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 35°
Opposite Leg BC = x
Adjacent Leg AC = 2
Step 2: Solve for x
Substitute [Tangent]: tan35° = x/2Isolate x: 2tan35° = xRewrite: x = 2tan35°Evaluate: x = 1.40042Round: x ≈ 1.40Tangent (Angle) = Opposite side / adjacent side
Tangent(35) = BC/2
Multiply both sides by 2:
BC = 2 x Tangent(35)
BC = 1.40042
Rounded to nearest hundredth: BC = 1.40
The store offers a 35% discount. If the regular price of an item is x dollars, what is the discount price in dollars?
Answer: .35x
Step-by-step explanation:
take the 35% and turn it into a decimal (.35)
Since the item is "X" dollars, multiply the x(.35)
This gives you .35x
Answer:
If there is a 35% discount, first convert the percent to a decimal
35% = 0.35
Then multiply the discount rate by the price of the item
x = item price
0.20x = discounted price
need help asap please
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
The third one Edg
Step-by-step explanation: Brainlest plzzz
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.
Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.
Side PQ = 8 m
Therefore, side ST = PQ = 8 m
thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon
Answer:
(29x + 9)
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)
= (9 + 29x)
Expression (29x + 9) will represent the perimeter of the polygon.
I will give brainiest to whoever answers correctly !!
Answer:
-6.08 or 6.08
Step-by-step explanation:
Explain why the expressions 8x(6-4) and 8x6-4 dont not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything
1. Find the length a of the altitude drawn to the hypotenuse. [Triangle is not drawn to scale.]
a
4.
16
A. a = 64
B. a = 20
C. a = 2V5
D. a = 8
ninate Education Inc.
Answer:
C.
Step-by-step explanation:
can someone plz help me with this , i cant find out who created this equation..
Answer:
Answering the part about who created the first equation:
There are a lot of different ways to solving cubic equations, but the first one is given by Gerolamo Cardano, who published it, and the equation was created by Scipione del Ferro, an Italian mathematician who was born in 1465. He did not make a lot of other contributions to mathematics, some of his other works were related to the rationalization of fractions with denominators containing sums of cube roots
This equation was called "Cardano's formula", and originally only worked for depressed cubic equations ( x^3 + p*x + q = 0)
But there are variations that can be used for more general cubic equations, of the form:
a*x^3 + b*x^2 + c*x + d = 0.
Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation
Answer: A
Step-by-step explanation:
Answer:
A. Reflection, rotation, translation
Step-by-step explanation:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.I need help with this
Answer:
1/4
Step-by-step explanation:
As 4 units move to the right, 1 unit goes up. Using the formula for slope:
Rise / Run
The gradient of the blue line is 1/4 or 0.25
Anna can buy 5 sweatshirts for a total of $75. How much would it could it cost if she were to buy 2 sweatshirts at the same price
Answer:
$75
Step-by-step explanation:
(45 / 3) x 5 = 75
To find the amount of money for each t-shirt, divide 45 by 3.
45 / 3 = 15
To find out the price of 5 t-shirts, multiple 15 by 5.
15 x 5 = $75
$75 is your answer :)
What is the value of q?
Pls help fast
Answer:
C
Step-by-step explanation:
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?
12x42=504
504 cents earned every day when 42 papers are delivered
For a week= 504x7
3528cents
Answer:
3,528 cents = 35 dollars and 28 cents
Step-by-step explanation:
She earns 12 cents for each paper delivered.
=> She earns: 12 x 42 = 504 cents a day
=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.
That is probably the answer you're expecting.
But you shouldn't.
One customer might need more than 1 paper a day, so there's no clear answer to your question.
Calculating Percents 2
You may use a calculator for all calculations
Part 1 - Write each percent as a decimal equivalent
120%
2 15%
3 45%
4 50%
51%
63%
75%
8 6%
Answer: 120% is 1.2 in decimal form.
215% 2.15
345% 345
450% 4.50
51% 0.51
63% 0.63
75% 0.75
86$ 0.86
Step-by-step explanation:
Find the smallest non-zero whole number n such that 756n is a perfect cube.
Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.