Answer:
(1, -1)
Step-by-step explanation:
Given the expression
x+y = 0 .....1
y = x²+2xy ....2
From equation 1, x = -y
Substitute into 3
y = x²+2xy
y = (-y)²+2(-y)y
y = y²-2y²
y = -y²
1 = -y
y = -1
Since x = -y
x = -(-1)
x = 1
Hence the required solution is (1, -1)
En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo porcentaje de rebaja ?
Respuesta:
Sí, tienen el mismo descuento del 40%
Explicación paso a paso:
Dado :
PANTALÓN :
Precio inicial = 150
Precio con descuento = 90
Porcentaje de descuento en el precio:
(150 - 90) / 150 * 100%
60/150 * 100%
0,4 * 100
= 40%
CAMISA:
Precio inicial = 40
Precio con descuento = 24
Porcentaje de descuento en el precio:
(40-24) / 150 * 100%
16/40 * 100%
0,4 * 100
= 40%
Sí, tienen el mismo descuento del 40%
What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.28, and a width of 4?
Answer:
Surface area of cylinder = 50.26 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of base r = 2 units
Width of lateral rectangle = 4 units
Length of lateral rectangle = 6.28 units
Find:
Surface area of cylinder
Computation:
Surface area of cylinder = 2[Area of base] + Area of lateral rectangle
Surface area of cylinder = 2[πr²] + [l][b]
Surface area of cylinder = 2[(22/7)(2)²] + [6.28][4]
Surface area of cylinder = 2[(22/7)(4)] + 25.12
Surface area of cylinder = 25.14 + 25.12
Surface area of cylinder = 50.26
Surface area of cylinder = 50.26 unit² (Approx.)
Ryan works as a waiter at a local restaurant. For each dish he breaks, he has $2.15 deducted from his weekly pay. On a Monday night, Ryan broke 8 dishes, but he broke no more dishes the rest of that week. Which equation shows a way to calculate how much he had to pay for the broken dishes that week?
A. 8 * $2.15 = $17.20
B. 8+ (-$2.15) = $5.85
C. -8- (-$2.15) = -$5.85
D. 8 + $2.15 = $10.15
The answer would be A.
Step-by-step explanation:
8 x $2.15= $17.20
1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or
theorem(s) you used.
a ) angle 1
b) angle 2
c) angle 8
Answer:
Step-by-step explanation:
From the picture attached,
Two lines are the parallel lines and a third line (transversal line) is intersecting these parallel lines.
m∠2 = 60°
a). m∠1 + m∠2 = 180°
m∠1 + 60° = 180°
m∠1 = 180° - 60°
m∠1 = 120°
b). m∠2 = 60° [Given]
c). m∠2 = m∠8 = 60° [Alternate exterior angles are equal]
A dozen cookies is on sale for $1.92. How much is one cookie?
Select the answer that shows what you need to do mathematically to answer this question.
Reminder: There are 12 cookies in a dozen.
Divide total price by number of cookies:
1.92/12 = 0.16
Each cookie cost $0.16
Answer:
Step-by-step explanation:
16 cents each cookie :3
Find the missing length indicated in the figure.
Answer:
45
Step-by-step explanation:
Since the lines of hypotenuse are parallel,the triangles are similar
20/8 = x/18
cross multiplication
8x = 20x18
8x=360
x=45
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bikes 0.5 mile farther than she did the previous time.
A. Use summation notation to write an arithmetic series to represent the total distance Melissa has biked after she has trained n times.
B. Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What is the least number of times Melissa must bike for her total distance biked during training to exceed 60 miles? (3 points)
9514 1404 393
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
The sum is the sum of these terms:
[tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]
__
B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.
[tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]
Melissa's total distance will first exceed 60 miles the 9th time she trains.
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
HELPPP PLZZ
What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?
Answer:
The answer is 3.98942, rounded its 3.99.
Step-by-step explanation:
Answer:
3.99 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
volume = 500 ft³
height = 10 ft
πr²h = 500
3.14×r²×10 = 500
r² = 500/3.14×10
= 15.92..
= √15.92
r = 3.9899.. ≈ 3.99 ft
Sue wants to know whether wearing sunglasses improves driving performance. If she uses an independent groups design, she would manipulate the variable by randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses. having all drivers first drive without sunglasses and then with sunglasses. having half the drivers first drive without sunglasses and then with sunglasses and having the other half first drive with sunglasses and then without sunglasses. requiring all drivers to first drive with sunglasses and then without sunglasses.
Answer:
randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses.
Step-by-step explanation:
When employing an independent group design in a research or experimental study, the different groups in the study are assigned entirely different subjects such that, subjects in the treatment group are different from those in the control group. Therfore, adopting an independent group design in the scenario described above means diving the subjects into two at random with one half driving with sunglasses and the other half having to drive without it.
Help me plz I don’t get it
Answer:
3.33
Step-by-step explanation:
each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33
Answer:
3.33
Step-by-step explanation:
Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.
We have 3 cubes so -> 1 + 1 + 1 = 3
We also have 3 squares that are 1/10th of a cube.
1/10 * 1 = 0.1 so each square is equal to 0.1 unit.
We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3
We have 3 tiny squares that are 1/100th of a cube.
1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.
We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03
Add everything up: 3 + 0.3 + 0.03 = 3.33
it’s geometry, help plz
Answer:
i think its 18(DONT TRUST ME)
Step-by-step explanatioN:
6 x 3
2х - 7y = 14
Find the x and y- intercepts then graph them.
The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34.
The mean value of these temperatures is 4.312.
What is the variance of this data set?
Will give Brainliest
Answer:
0.5192
Step-by-step explanation:
Answer:
UwU
Step-by-step explanation:
A circle has a circumference of 2 x cm. Which statement about the circumference and area is true?
O A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical values of the circumference and area of the circle are equal.
O The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.
Vx
Mark this and retum
Save and Exit
Next
Submit
Answer:
O The numerical value of the circumference is less than the numerical value of the area.
Step-by-step explanation:
as pi>2, therefore, only 'the numerical value of the circumference is greater than the numerical value of the area. The numerical value of the circumference is less than the numerical value of the area' is correct.
please help ill mark brainliest
Answer:
I think it's net one because it seems the most like it
Hi, What is the answer?
Answer:
68x + 80
Step-by-step explanation:
Follow PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, distribute 10 to all terms within the parenthesis:
10(6x + 8)
10 * 6x = 60x
10 * 8 = 80
60x + 80
Next, Add like terms. Like terms are terms with the same amount of the same variable:
8x + 60x + 80
(8x + 60x) + 80
68x + 80
68x + 80 is your answer.
~
Answer:
68x + 80
Step-by-step explanation:
To solve the following problem,
8x + 10 ( 6x + 8 )
First, distribute the (10), multiply every term int he parenthesis by the term outside of it,
8x + 10(6x + 8)
8x + (10)(6x) + (10)(8)
Simplify,
8x + 60x + 80
68x + 80
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
1
Let f(x) = 1/x and g(x) = x²-
6x. What
two numbers are not in the domain of fºg?
Separate your answers with a comma.
Enter the correct answer.
Step-by-step explanation:
f°g=[tex]f(g(x))[/tex]
[tex]g(x)=x^2-6x[/tex]
[tex]f(x)=1/x[/tex]
[tex]f(g(x))=[/tex][tex]\frac{1}{x^2-6x}[/tex]
if the denominator is zero the number is undefined which makes it not in the domain of the function
set [tex]x^2-6x[/tex] equal to 0
the values for x is 0 or 6
so the only value that is not in the domain of f°g is 0 and 6
Hope that helps :)
Answer: the answer is not 0,6 it’s 0,-6. It’s right I took the test.
Step-by-step explanation:
54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10
LINKS WILL BE REPORTED NOT HAVING IT
Answer:
6 and 9
Step-by-step explanation:
6 x 9 = 54
Find the surface area of the triangular prism.
A) 608 ft
B) 704 ft
C) 560 ft
D) 590 ft
Answer:
C
Step-by-step explanation:
10*8*12 = 960
16*10 = 160
960+160= 1120
1120 ÷ 2 = 560
Answer:
I'll setup the formula and you can do the calculations.
Step-by-step explanation:
you need to add up the areas of 2 rectangles (10x16), 1 rectangle on the bottom (12x16) and 2 triangles ( height = 8 and base = 12)
area of rectangle = wide x length
area of triangle = 1/2 base x height
can you compute the answer? if you need more help, send a comment
*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?
Answer:
0
Step-by-step explanation:
The 2 lines never intersect so there are 0 solutions
A rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle? Please help I dont get it.
Answer:
The length of the base of the rectangle is 7 inches
Step-by-step explanation:
The Area of the rectangle can be found out by multiplying length with the breadth
Area= length * breadth
35 squared inches= x *5
5x= 35
x= 35/5
x= 7inches
Hence the length of the base of the rectangle is 7 inches.
If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.
15 points plisss the answer correct
Simplify:............
[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]
is your answer
Answer:
jshdgdhdhdhdhdhdhd English project work
7. Jack bought a used car for $4,555. He made a
down payment of $1,500 for the car, and he will
pay the remaining balance in 10 equal payments.
How much will Jack still owe on the car after he
makes seven payments?
Record your answer and fill in the bubbles. Be sure
to use the correct place value.
Answer:
916.50
Step-by-step explanation:
Mario's grape vine grows 7.5 inches in 3 weeks. At this rate, how much will the grape vine grow in 15
weeks?
Answer:
It will grow 37.5 inches
Step-by-step explanation:
It grew 7.5 in 3 weeks. Divide 7.5 by 3 and you'll get 2.5. So that means every week it grows 2.5 inches. So multiply 2.5 x 15 and you'll get 37.5 inches
If Charlie has 50 apples but devin ate 25 how many does Charlie have left?
Answer:
25
Step-by-step explanation:
50-25=25
A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?
Answer:
Step-by-step explanation:
Which is the most appropriate data display for the distance a person drives each month.
Answer:
How many miles that person has driven that day
Step-by-step explanation:
help needed! please and thank uuu! no links please!
Answer:
(2x×3x)+(3x×-3)
Area=L×W
Blue rectangle = 2x×3x
Pink rectangle = 3x×-3
(2x×3x)+(3x×-3)