Answer:x=-16
Step-by-step explanation:
Subtract 6 from both sides
x/8=-2
Multiply the number by 8 on both sides to get x by itself
x=-16
Hope you are having a good day and if you could, brainliest would be nice
Find three rational number between 2/3 and 3/4.
First pls
Answer:
21/30, 22/30, 23/30
Step-by-step explanation:
If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?
Answer:$1.20
Step-by-step explanation: Find 4% of 30
I am using a calculator, but you can get the same result if you multiply .04 and 30
You should get 1.2 or $1.20
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
please answer this for me love
Answer:
Step-by-step explanation:
x-intercept is the 3rd box, and y-intercept is the 6th box
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2
Answer:
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
Step-by-step explanation:
We are given the following integral:
[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]
Trigonometric substitution:
We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.
In this case, the substitution is given by:
[tex]x = a\sin{\theta}[/tex]
So
[tex]dx = a\cos{\theta}d\theta[/tex]
In this question:
[tex]a = 3[/tex]
[tex]x = 3\sin{\theta}[/tex]
[tex]dx = 3\cos{\theta}d\theta[/tex]
So
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]
We have the following trigonometric identity:
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
So
[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]
Replacing into the integral:
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]
Coming back to x:
We have that:
[tex]x = 3\sin{\theta}[/tex]
So
[tex]\sin{\theta} = \frac{x}{3}[/tex]
Applying the arcsine(inverse sine) function to both sides, we get that:
[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
plz help me with this problem
Answer:
2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11
Step-by-step explanation:
To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11
Which pair shows equivalent expressions?
A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10
Answer:
its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.
Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!
9514 1404 393
Answer:
B. 1.5 = 2p
Step-by-step explanation:
If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...
2p = 1.5
or
1.5 = 2p . . . . . . matches choice B
_____
Additional comment
Some of us would "cut to the chase" and compute the fraction directly:
p = (price of hotdog)/(price of pizza) = 1.5/2
No such choice is offered, so the next best is the equation you get when you multiply this by 2:
2p = 1.5
Three friends, Maria, Sarah, and Ruth, spend $356.50, $365.50, and $356.60,
respectively, at a shopping mall. Calculate who spent the most?
Answer:
Im guessing ruth...
Step-by-step explanation:
not very clear on question
15 points!!!
Write an
equation of the parabola shown.
Answer:
y=1/2x-4
Step-by-step explanation:
find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,
Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982
Answer:
Try 60
Step-by-step explanation:
982-922=60
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
*!!!* please help me!! i’ll mark brainliest if the answer is right!
Answer
Roundworm is 9ft long and the tapeworm is 60 feet long
Step-by-step explanation:
If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)
5/8÷1/3 do you now the answer
Answer:
15/8
Step-by-step explanation:
This is a fraction so when dividing fractions you can multiply by the reciprocal.
5/8*3/1= 5*3/8*1 = 15/8
Which inequality is represented by the number line graph?
Answer:
We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.
Step-by-step explanation:
your welcome
Represent the following Percent as a decimal, 87.5%
FIND THE VALUE OF X PLEASE HELP ME
Answer:
x = 18
Step-by-step explanation:
4(18) = 72
2(18) - 10 = 26
4(18) + 10 = 82
72 + 26 + 82 = 180
I need this for extra credit please!!
What is the second step in solving the following equation?
-3x + 5 = 20
Subtract 5 from both sides
O Divide both sides by-3
o add 3x to both sides
O Divide both sides by 3
A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?
Can someone help? :D
Answer:
I believe the answer is A
Step-by-step explanation:
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
Answer:
y = -7x + 2
Step-by-step explanation:
Help pls I don’t understand this my teacher didn’t teach this
Answer:
x = 60
Step-by-step explanation:
The tip of the triangle's angle is 100 (b/c 180-80)
x + 100 + 20 = 180
x + 120 = 180
x = 60
Answer:
Step-by-step explanation:
X=60
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).
Answer:
[tex]P(Cable\ TV\ only) = 50\%[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Step-by-step explanation:
Given
[tex]Cable\ TV = 80\%[/tex]
[tex]Internet = 44\%[/tex]
[tex]Telephone = 29\%[/tex]
[tex]Cable\ TV\ and\ Internet = 25\%[/tex]
[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]
[tex]Internet\ and\ Telephone = 23\%[/tex]
[tex]All\ Services = 15\%[/tex]
Solving (a): A) P(cable TV only).
First, we calculate n(cable TV only)
This is calculated as:
[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]
[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]
[tex]n(cable\ TV\ only) = 50\%[/tex]
The probability is:
[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = 50\%[/tex]
Solving (b): P(Internet | cable TV).
This is calculated as:
[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
Solving (c): P(exactly 2 services).
This is calculated as:
[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]
[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]
[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
Solving (d): P(Internet and cable TV only).
This is calculated as:
[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
[tex]c^{2}=a^{2} +b^{2}[/tex]
[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = [tex]\frac{10}{10.19}[/tex]
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = [tex]\frac{2}{10.19}[/tex]
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = [tex]\frac{10}{2}[/tex]
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
Learn more about Trigonometric functions and Pythagorean theorem here
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What is the value of the t in the following equation? t + 1/4 = 2 7/12 A. t = 3/7 B. t = 1 2/3 C. t = 2 1/3
D. t = 3 2/3
Answer: it’s C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the n term? A 5.8 - 3n B -- 3 -- 5.8 C8.2 -- 5.8 D 5.8 - 8.2n
Answer: C, 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,
At x = 1, y is 2.4.
2.4 = m + c ...1
At x = 2, y is -3.4.
-3.4 = 2m + c ...2
From equations 1 and 2, then we have
m = -3.4 - 2.4
m = - 5.8
Then the value of 'c' is given s,
2.4 = -5.8 + c
c = 8.2
Then the equation is given as,
y = 8.2 - 5.8x
If the pattern continues. Then the expression for the nth term is given as,
y = 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
More about the linear equation link is given below.
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