Answer:
(200, 120)Step-by-step explanation:
Given system
x - y = 803/5 = y/xSolve it by substitution
y = 3/5(x)y = x - 80Find the value of x
3/5(x) = x - 80x - 3/5(x) = 802/5(x) = 80x = 80*5/2x = 200Find the value of y
y = 3/5(200)y = 120Answer:
x = 200
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x-y=80\\\\\dfrac{3}{5}=\dfrac{y}{x} \end{cases}[/tex]
Rearrange the second equation to make y the subject by multiplying both sides by x:
[tex]\implies \dfrac{3}{5} \cdot x=\dfrac{y}{x} \cdot x[/tex]
[tex]\implies y=\dfrac{3}{5}x[/tex]
Substitute this into the first equation and solve for x:
[tex]\implies x-\left(\dfrac{3}{5}x\right)=80[/tex]
[tex]\implies \dfrac{2}{5}x=80[/tex]
[tex]\implies \dfrac{2}{5}x \cdot 5=80 \cdot 5[/tex]
[tex]\implies 2x=400[/tex]
[tex]\implies \dfrac{2x}{2}=\dfrac{400}{2}[/tex]
[tex]\implies x=200[/tex]
Therefore, the value of x is 200.
If you want to find the value of y, simply substitute the found value of x into the first equation and solve for y:
[tex]\implies 200-y=80[/tex]
[tex]\implies 200-y+y=80+y[/tex]
[tex]\implies 200=y+80[/tex]
[tex]\implies 200-80=y+80-80[/tex]
[tex]\implies 120=y[/tex]
[tex]\implies y=120[/tex]
What is the inverse of f(x)=1/3x+2?
Answer:
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )
y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3(y - 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Answer:
3(x-2)
Step-by-step explanation:
interchange value of x and y
8. (8, 6); 5x - 5y = 10
7x - 14y = -28
Answer:
28
Step-by-step explanation:
because 28 is the last one
a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.
Answer:
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
Step-by-step explanation:
express 194720 in standard form correct to 3 significant figures
Answer:
1.95 x 10^5
Step-by-step explanation:
First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.
Hope you can understand this!!
Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)
Answer:
a
Step-by-step explanation:
(3/5)^3= 27/125
So a is the correct answer
Answer:
Answer option D.
I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.
Numerator:
3 cubed(3^3) would result in
= 9
Denominator:
5 cubed(5^3) would result in
= 125
Hence, you'll get 9/125.
So your answer is;
A, (3/5)'3The radius of a semicircle is 1 meter. What is the semicircle's perimeter?
Answer:
5.1416
Step-by-step explanation:
L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]
Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?
Answer:
Will's Age : 35
Maria's Age : 15
Step-by-step explanation:
Will is five years more than twice Maria's age.
15 doubled is 30 plus 5 is 35.
In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Answer:
813.33 N/m²
Step-by-step explanation:
Before finding the answer to this, let us convert 750cm² to m².
1 m ⇒ 100cm
1 m × 1 m ⇒ 100 cm × 100 cm
--------------
1 m² ⇒ 10000 cm²
x ⇒ 750 cm²
Let us use cross multiplication to find the value of x.
10000x = 750 × 1
10000x = 750
x = 750/10000
x = 0.075
∴ 750 cm² = 0.075 m²
And now let us find the pressure.
Pressure = Force ÷ Area
Pressure = 61 N ÷ 0.075 m²
Pressure = 813.33 N/ m²
How do you calculate scale factor of the sides of figures
Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.
Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...
Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...
Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer
How many faces does a solid with 8 vertices and 12 edges have?
8
12
6
22
Answer:
6
Step-by-step explanation:
Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.
Which type of data would be best displayed in a histogram?
If m∠2 = 80°, what is m∠4?
Answer:
80 degrees
Step-by-step explanation:
they are vertical pirs (across from each other) so they have the same measure
please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Nate - I can't fold my invitation at all. The parts won't match.
Hector - I can fold my invitation more than one way.
Daniel - I can fold my invitation along only a horizontal line.
Micheal - I can fold my invitation along only a vertical line.
3 consecutive integers have a sum of 120. What is the least of these integers
Answer:
39
Step-by-step explanation:
39 + 40 + 41 = 120
39 is the least of these integers
Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6
Answer:
a
Step-by-step explanation:
you need to have same kx for lines to be parallel.
y=kx+l
l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same
A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.
Which arrangement of caramels requires the least cardboard?
Answer:
five by four
Step-by-step explanation:
will give brainlist I'm not going to waste my time in this multiple question
Answer:
What's the question?
Step-by-step explanation:
You haven't shown me a question.
Answer:
The answer is A.[tex]98\beta \pi[/tex]
Step-by-step explanation:
Take the transactions of the polynomials and apply the quadratic formula.
how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?
Answer:
14137.17 cubic cm
Step-by-step explanation:
I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.
IMPORTANT : When it says air- you have to realize it's VOLUME.
radius= 15 cm
to find:the amount of cubic centimeters of air needed to fill the soccer ball.
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]
[tex]v = 14137.17 {cm}^{3} [/tex]
therefore, the soccer ball can hold 14137.17 cubic centimeters of air.
According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5
The factor of the polynomial 3x³ – 5x² – 12x + 20 is (x – 2), (x + 2), and (3x – 5). Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given below.
f(x) = 3x³ – 5x² – 12x + 20
Then the factor of the polynomial will be
f(x) = (x – 2)(x + 2)(3x – 5)
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer: D.) 3x-5
Step-by-step explanation:
I would know because I got it right on my unit test.
How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!
Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.
What is the focus of history?History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.
Why is history important?History is about both origin and evolution; due to this:
History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.Learn more about history in: https://brainly.com/question/3583505
#SPJ1
URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?
Equation 1: 3x+2y=9
Equation 2: -x+3y=8
A) -3x+3y=8
B) -3x-9y=24
C) 3x+9y=24
D) 3x-9y=-24
i cannot do this question and i am stuck
Answer:
-57
Step-by-step explanation:
[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]
The probability of an event is P(A) = 0.05 What is the complement of P(A)?
Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically:
Probability = expected outcome/total outcome
Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:
P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95
Hence the complement of the probability will be 0.95
Learn more on probability here: https://brainly.com/question/24756209
helppppppppppppppppp meee
Answer:
Given
Step-by-step explanation:
As I can see, in the question the statement is already given.
I took picture off it
Answer:
F
Step-by-step explanation:
the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th
Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
https://brainly.com/question/1559324
I need help with this problem if anyone wants to help me please do
Answer:
11
Step-by-step explanation:
hope this helps loves x
PLEASE HELP!!!!I’LL GIVE BRAINLIEST!
find the supplementary angle to an angle
that is 128.9º. explain your answer
The function f(t)=1900(1. 4)^t
t
represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?
Answer:
Increasing by 40%
Step-by-step explanation:
This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.
A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?
Answer:
7 in
Step-by-step explanation:
L * W * H = volume
L * 5 * 9 = 315
L = 315 / (5*9) = 7 in