if x-y=80 and 3/5=y/x <--(as a fraction), what is the value of x? will give 45 points, and brainliest for the right answer
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]
(5,5)
(5,-3)
(-1, -3)
What are coordinates of the circumcenter?
The coordinate of the given figure is (5,5) (5,-3) and (-1, -3). The coordinates of the circumcenter of the triangle is (2,1).
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We can see the given triangle.
The coordinates of A are (-1,-3).
The coordinates of B are (-1,-3).
The coordinates of C are(5,5).
We know that the circumcenter of a right triangle is the midpoint of the hypotenuse.
Mid-point of hypotenuse AC is given by
[tex]x = x_1 +x_2 / 2\\y = y_1 +y_2 / 2[/tex]
So, x =( -1 + 5)/2 = 2
y =( 5-3)/2 = 1
Hence, the circumcenter of the triangle is (2,1).
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What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6
Answer:D
Step-by-step explanation:
The slope of a line will be 1/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(-6,3) and (12,6)
(x₁, y₁) = (-6,3)
(x₂, y₂) = (12,6)
Then the slope of a line will be
Slope = (6 – 3) / (12 + 6)
Slope = 3 / 18
Slope = 1/6
Then the correct option is D.
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What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
Radical equations and expressionGiven the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
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Answer:
B x = 3
Step-by-step explanation:
The car owned by a person is part of his or her ____. a. investment assets b. liquid assets c. long term assets d. use assets Please select the best answer from the choices provided A B C D
Answer:
im pretty sure its D. use assets
Step-by-step explanation:
hope this helps:)
Use an equation to find the value of k so that the line that passes through the given points has the given slope.
(−4,k), (6,−7); m=−1/5
If the two spinners below are spun, what is the probability that the numbers will match?
Answer:
Example: If the spinners is divided into 4 than it will be 1/4 or if it is divided into 8 than it will be 1/8 .
Step-by-step explanation:
How do I find the area
Please read the picture
Please do help me with this math problem.
Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
|x| x≤2
3 x>2
Feel free to ask question if anything's not understandable!
The data shows the number of products an assembly line creates each hour for
7
randomly selected hours.
53
,
65
,
81
,
90
,
72
,
55
,
95
What is the range of the data set?
Answer:
42 is the range
Step-by-step explanation:
Subtract the highest number by the lowest.
95 - 53 =42
before his shopping spree, Ahab owned 11 hats. Then he bought 33 more hats. what is the ratio of hats purchased to the resulting total number of hats.
I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
A. math
B. theater
C. English
D. geography
Answer: the answer is Math and i took the test
How many real-number solutions does the equation have?
0=-7x² +6x+3
A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions
Answer: B. two solutions
im guessing
Can someone please help me ASAP
Find the length of the unknown side of each triangle.
Step-by-step explanation:
The Pythagorean theorem states that a^2+b^2=c^2.
For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)
[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]
For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):
[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]
I hoped this had helped.
WILL GIVE BRAINLIEST
Write 2/7x(1.4x^2-3.5y) as a polynomial
Answer:
0.4x^3 - xy.
Step-by-step explanation:
2/7x(1.4x^2-3.5y) Distributing the2/7x over the parentheses:
= 2/7 * 1.4 x^3 - 2/7 *3.5xy
= 0.4x^3 - xy
The expression 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
To write 2/7x(1.4x² - 3.5y) as a polynomial, we need to first simplify the expression inside the parentheses by distributing the 2/7x:
2/7x(1.4x² - 3.5y) = (2/7x)(1.4x²) - (2/7x)(3.5y)
Next, we can simplify each term by multiplying the coefficients:
2/7x(1.4x² - 3.5y) = (4/5)x³ - (10/7)xy
Thus, 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.
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What is the value of x? Enter your answer in the box. x =
Answer:
55°Step-by-step explanation:
the sum of the interior angles of a triangles is 180°
so
180 = 75 + 50 + x
x = 180 - 75 - 50
x = 55°
-----------------------
check
55 + 75 + 50 = 180°
the answer is good
100 points math and brainliest
Answer:
It is health.
Step-by-step explanation:
It says that "The larger the MAD, the greater variability there is in the data (the data is more spread out)." So History would actually be the most wrong one. Health is the lowest value so Health is correct.
Answer:
Health
Step-by-step explanation:
MAD = median absolute deviation
It measures how spread out a set of data is, and is less affected by extremely high or low values.
The bigger the variance, the more spread out the data points are.
The smaller the variance, the less spread out the data points are.
Therefore, the scores were closest together in Health, since this has the smallest MAD.
don't understand at all
Step-by-step explanation:
you would have to add the the sides and use context to find out the blank rectangles
there is a total of 10 pages of homework. sophia worked on some pages on monday if she has 3 pages left how many pages did sophia work on monday?
Answer:
7
Step-by-step explanation:
Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.
Pls help…!!! Is really urgent and I don’t understand.,.!!!
Answer:
Step-by-step explanation:
Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing
Answer:
He used to receive $14.50.
Step-by-step explanation:
Let x = amount he used to receive.
Now he receives 2x - 4.
Now he receives $25.
2x - 4 = 25
2x = 29
x = 14.5
Answer: He used to receive $14.50.
Answer:14.5
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Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answer:
(x + 2)(x + 8)
Step-by-step explanation:
x² + 10x + 16
consider the factors of the constant term (16) which sum to give the coefficient of the x- term.
the factors are + 2 and + 8 , since
+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then
x² + 10x + 16 = (x + 2)(x + 8) ← in factored form
Answer:
answer in picture
Step-by-step explanation:
The student council hires a DJ to play music at the school dance. They pay DJ Dan 3. 5h at his hourly rate plus a $125 setup fee. The total cost is $405
A portable fuel tank used to transport gasoline is in the shape of a rectangular prism. The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide. The volume of the tank is
33,488 cubic feet.
What equation represents the volume of the portable fuel tank
The equation represents the volume of the portable fuel tank in terms of width (w) is w³ + 34w² + 145w - 33488 = 0.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A portable fuel tank used to transport gasoline is in the shape of a rectangular prism.
The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide.
The volume of the tank is 33,488 cubic feet.
Let the width of the rectangular prism be w. Then we have
length = w + 5
height = w + 29
Then the volume is given as
Volume = l × w × h
33488 = (w + 5) (w) (w + 29)
Then we have
[tex]\begin{aligned} \rm w^3 + 5w^2 + 29w^2 + 145w &=33488 \\\\\rm w^3 + 34w^2 + 145w - 33488 &= 0\\\\\rm (w - 23)(2w+57)(2w + 57) &= 0\\\\\rm w &= 23, -28.5, -28.5 \end{aligned}[/tex]
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Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Who is a lender?It should be noted that a lender simply means an individual or an organization that lends people money.
In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
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Answer:
It's
A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.
Step-by-step explanation:
Which is the same as dividing a number by 10?
pls help I need it pls
Answer:
Splitting that number into 10 equal wholes.
Step-by-step explanation:
(fractions)
Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8
Answer:
x<10
Step-by-step explanation:
I think that's the only one
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
What is 8 divided by 1/2
Answer:
[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]