Answer:
-50
Step-by-step explanation:
42+=x-2x-8
42=-x-8
(add 8 to both sides)
50=-x
(divide by negative 1)
-50=x
what are the solutions to the equation -5x2 + 3x = -9
Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−
Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0
Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0
Solution=3±321 over 10
Step-by-step explanation:
Answer: 1/3 as an equation
Step-by-step explanation: file attached
what are ordered pairs
Answer:a pair of elements a, b having the property that (a, b) = (u, v) if and only if a = u, b = v.
A triangle has two sides of length 6 and 19. What is the largest possible whole-number length for the third side?
Answer: 18
Step-by-step explanation:
If 19 Is hypotenuse and 6 is one of the sides
Abel ran more than 8 miles this week. which set of steps shows how to write an inequality that represents the number of miles abel ran? identify the variable as the number of miles. identify the inequality symbol as less than. identify the constant as 8 miles. write the inequality as m less-than 8. identify the variable as the number of miles. identify the inequality symbol as less than. identify the constant as negative 8 miles. write the inequality as m less-than negative 8. identify the variable as the number of miles. identify the inequality symbol as greater than. identify the constant as negative 8 miles. write the inequality as m greater-than negative 8. identify the variable as the number of miles, m. identify the inequality symbol as greater than. identify the constant as 8 miles. write the inequality as m greater-than 8.
The inequality that represents the scenario is x > 8
How to determine the inequality?From the question, we understand that:
Abel ran more than 8 miles this week
Let the number of miles be x.
The text "more than" means that we make use of the greater than inequality symbol
So, the inequality that determines the steps is:
x > 8
Read more about inequality at:
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Answer:
m
Step-by-step explanation:
A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards?
Answer:
3 1/3 yd^3
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
ft. = 1/3 yd.
3/3 = 1 yd.
6/3 = 2 yd.
5/3 = 1 2/3 yd.
1*2*1 2/3
=2* 1 2/3
=2 4/3
= 3 1/3 yd.^3
[tex]5 = \frac{x}{3} + 2[/tex]
step by step please.
Answer:
9
Step-by-step explanation:
Given equation:
[tex]5 = \dfrac{x}{3} + 2[/tex]
To determine the solution (x) of the equation, we need to isolate it. To do this, we can subtract 2 both sides of the equation.
[tex]\implies 5 - 2 = \dfrac{x}{3} + 2 - 2[/tex]
[tex]\implies 3 = \dfrac{x}{3}[/tex]
To further isolate "x", we can use cross multiplication.
[tex]\implies 3 \times 3 = x[/tex]
Finally, simplify the expression on the left-hand-side to obtain the value of x.
[tex]\implies \boxed{9 = x}[/tex]
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 17%. What is the probability that it will rain on at least four of the five days they are there? Round your answer to the nearest thousandth.
Answer: 30%
Explanation: Every day is 30%.
- Jackson
solve the triangle.round to the nearest degree.
Answer:
30°, 60°
Step-by-step explanation: AB:BC:CA=√3:1:2
Rationalise the equation :
[tex] \frac{y ^{2} }{ \sqrt{x^{2} + y {}^{2} } + x} [/tex]
Answer:
[tex]\sqrt{x^2+y^2}-x[/tex]
Step-by-step explanation:
[tex]\textsf{Mulitply by}\quad\dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}:[/tex]
[tex]\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}[/tex]
[tex]\textsf{Cancel the common factor}\:y^2:[/tex]
[tex]\implies \sqrt{x^2+y^2}-x[/tex]
Rationalising the denominator of the given fraction means we need to multiply both the numerator and the denominator of the fraction by the conjugate of the expression in the denominator. For example:
[tex]\;\longrightarrow\dfrac{1}{a+b}[/tex]
Here the conjugate of denominator of the expression is a - b. So we need to multiply both the numerator and denominator with the fraction.
[tex]\;\longrightarrow \dfrac{1}{a+b} \times \dfrac{a-b}{a-b}[/tex]
Hence, this is what the rationalization means.
Elucidation:We have been given and equation and we have been asked to rationalise the equation.
The conjugate of the denominator of the given equation is √(x² + y²) - x. Therefore;
[tex]\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}[/tex]
[tex]\implies \boxed{\sqrt{x^2+y^2}}[/tex]
Hence, this is our required solution for this question.
Convert 0.54. to a decimal In base 3
Answer:
what does a this mean? .54 is a decimal
FREE BRAINLIEST IF CORRECT: Write the following without the absolute value sign: |a^2| if a>0
Answer:
Step-by-step explanation:
When you square a number, whether it's positive or negative, the square is always positive. That is, a2 is positive whether a is positive or negative. Examples:
12 = 1 x 1 = 1
(-1)2 = (-1) x (-1) = 1
52 = 5 x 5 = 25
(-5)2 = (-5) x (-5) = 25
Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.
hope this helps can i get brainly pls
Drag each model to show whether it is less than, equal to, or greater than 1/2.
Answer:
2/3=More
1/4=less
7/8=more
2/6=less
2/4=equal
Step-by-step explanation:
Look at each model that shows each fraction and also look at the denominators and the numerators of each fraction.
#1
2/3=4/61/2=3/6Greater than 1/2
#2
1/41/2=2/4Less than 1/2
#3
7/81/2=4/8Greater than 1/2
#4
2/61/2=3/6Less than 1/2
#5
2/4=1/2Equal to 1/2
Find the value of x.
Step-by-step explanation:
9x+5x+71+139+92=540
14x+302=540
14x=540-302=238
x=238/14
x=17
In an amphitheater, there are 20 seats in the front row, 23 seats in the second row, 26 seats in the third row, and so on, in an arithmetic sequenc A) Write an explicit formula to find an. The number of seats in the nº row.
B) The last row in the amphitheater has 83 seats in it. How many rows a seats are there?
C) Write an expression using sigma notation that represents the total number of seats in the amphitheater.
D) Evaluate this expression. How many total seats are there?
For the given arithmetic sequence we have:
A) [tex]A_n = 20 + (n - 1)*3[/tex]B) 22 rows.C) [tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]D) There are 1,133 seats in total.How to write the formula for the sequence?
We know that we have 20 seats on the front row, and then we add 3 more on each row, so the formula will be:
[tex]A_n = 20 + (n - 1)*3[/tex]
This gives the number of seats on the n-th row.
B) The last row has 83 seats, then we need to solve:
[tex]A_n = 20 + (n - 1)*3 = 83\\\\(n - 1)*3 = 83 - 20 = 63\\\\n - 1 = 63/3 = 21\\\\n = 21 + 1 = 22[/tex]
So we conclude that there are 22 rows.
C) The total number of seats will be:
[tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]
D) Instead of using the sum above (we should add 22 terms) we use the general formula for the sum of N terms in an arithmetic sequence:
[tex]S_N = (N/2)*(2A_1 + (N - 1)*d)[/tex]
In this case, we replace N by 22, and d is the common difference of the sequence, which we know is equal to 3, so we wil have:
[tex]S_{22} = (22/2)*(2*20+ (22 - 1)*3) = 11*(40 + 21*3) = 1,133[/tex]
There are 1,133 seats in total.
If you want to learn more about sequences, you can read:
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Can someone help me find the value of y and how to my got it
Explanation:
The tickmarks tell us that sides HG and FG are the same length. The triangle is isosceles. Directly from this, we know that the opposite angles F and H are congruent. Both are 4y-7 degrees.
Angle G is 90 degrees because of Thales' Theorem. This is because HF is the diameter of the circle. It's also the hypotenuse of the right triangle.
For any triangle, the three interior angles always add to 180 degrees.
F+G+H = 180
(4y-7) + (90) + (4y-7) = 180
8y + 76 = 180
8y = 180-76
8y = 104
y = 104/8
y = 13
What is the end behavior of the function f of x equals 3 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0
[tex]f(x) = 3 \sqrt[3]{x} [/tex]
[tex]lim f(x) = 3 \sqrt[3]{ - \infty } = - \infty \\ x = > - \infty [/tex]
[tex]limf(x) = 3 \sqrt[3]{ \infty } = \infty \\ x = > \infty [/tex]
Answer:
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
Step-by-step explanation:
I got it right on the test.
Line A is perpendicular to Line B. If the slope of Line A is 2/5, what is the slope of Line B?
The difference of two numbers is 9 if the larger number is one more than twice the smaller number find the larger number
Answer:
17
Step-by-step explanation:
let the two numbers be X and Y
let larger number = Y
from the first statement
Y - X = 9 equation (1)
from the second statement
Y = 1+ 2X equation (2)
substitute equation (2) into (1)
1+2X-X = 9
1+X= 9
X = 9-1 = 8
X= 8
put X = 8 into equation (2)
Y= 1+2X
Y= 1+2(8)
Y= 1+16 = 17
larger number = 17.
Directions: Simplify and write in standard form, letting f(x) = x2 + 2x + 1, g(x) = 3 - 2x,
h(x) = 2x2, and k(x) = x +4.
k(h(x))
Answer:
2x² + 4
Step-by-step explanation:
Check out the attached photo
Round to the nearest tenth if necessary.
Find the distance between the two points.
(2, 5) and (–1, –5)
Distance formula: sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-1 -2)^2 + (-5-5)^2)
distance = sqrt(109)
Distance = 10.44
percent discount
A $98.00 power inverter is on sale for $78.40
Answer: 20%
Step-by-step explanation:
98 - 78.40 = $19.6
Discount is 19.6/98 = 0.2
Percentage = 0.2 × 100/ 1
The rectangular prism below has a total surface area of 158 in^2. Use the net below to determine the missing dimension, x
A. 6 in
B. 8 in
C. 12in
D. 10 in
Answer:
b
Step-by-step explanation:
Please help me solve this with steps
Answer:
x = 1.5 or 3/2
Step-by-step explanation:
First, expand the equation.
(2x - 3)² = 0
(2x - 3)(2x - 3) = 0
In similar equations, we would solve for both pairs of parenthesis. However, since the equations inside both are the same, we only need to solve for ONE of them, bringing one correct answer.
2x - 3 = 0
Add 3 to both sides.
2x = 3
Divide both sides by 2.
x = 3/2 or 1.5.
Step-by-step explanation:
Mark me brainliest please i really need itWhich expression is equivalent to 5/8?
A. 8÷5
B. 8×5
C. 5÷8
D. 5×8
A fraction is equavalent to the top number divided by the bottom number.
5/8 is equivalent to 5 ÷ 8
Answer: C. 5 ÷ 8
A cone has a height of 6 yards and a radius of 3 yards. What is its volume? Use 3.14 and round your answer to the nearest hundredth.
Answer:
V = 56.52
Step-by-step explanation:
Formiula
V = (1/3) * pi * r^2 * h
Givens
pi = 3.14
r = 3 yard
h = 6 yards
Solution
V = (1/3) * 3.14 * 3^2 * 6 Multiply 1/3 * 6
V = 2 * 3.14 * 9
V = 56.52
2. a) How many months is one
quarter of a year?
Answer:
3
Step-by-step explanation:
A quarter is equal to four and since 12 divided by 4 = 3, 3 months is a quarter of a year
Have a great day!
Matthew and Anthony each have a video game collection. The number of video games in Matthew’s collection can be represented by x. The number of video games in Anthony’s collection is 5 times the number in Matthew’s collection. The total number of video games in both collections is 72. What is x, the number of video games in Matthew’s collection?
The number of video games in Matthew’s collection is 12
To solve the problem, we need to know what simultaneous equations are
What are simultaneous equations?These are a pair of equations which contain two variables.
Now, let
x = number of video games in Matthew's collection and y = number of video games in Anthony's collection.Given that the number of video games in Anthony’s collection is 5 times the number in Matthew’s collection, we have that y = 5x (1)
Also, the total number of video games in both collections is 72.
So, x + y = 72 (2)
Substituting equation (1) into (2), we have
x + 5x = 72
6x = 72
x = 72/6
x = 12
So, the number of video games in Matthew’s collection is 12
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what decimal part of $1 is 6 pennies
Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hour. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system.
Answer:
Step-by-step explanation:
I did this before. I'm 14 :D
E-
y=20x
Eli ironed 2 more hours and got 400 shirts.
S-
y=35x
Let x be the number of shirts ironed.
400/20x = 20.
20-2=18.
That means she ironed 360 shirts prior.
If both of them were at the same speed of 18 by (let x represent). Then Samantha ironed 630 shirts while Eli ironed 360 shirts, but ironed 2 more hours which got him to get 400 shirts.
Find the slope of the line y=5x+4y=5x+4.
Answer:
[tex]\huge\boxed{\sf Slope = m = 5}[/tex]
Step-by-step explanation:
Given slope equation:
y = 5x + 4
Comparing it with the standard form of slope equation
y = mx + b
Where m is slope and b is y-intercept
Hence,
by comparing both equation, we get:
Slope = m = 5
[tex]\rule[225]{225}{2}[/tex]