Answers
Answer:
1) x = 30
2) x = 11.6
Step-by-step explanation:
1) 2x = 4x - 60 (vertical angles are equal)
subtract 4x from each side of the equation:
-2x = - 60
divide both sides by -2:
x = 30
2) 7x + 16 + 3x + 48 = 180° (supplementary angles add up to 180°)
combine like terms:
10x + 64 = 180
subtract 64 from both sides of the equation:
10x = 116
divide both sides by 10:
x = 11.6
Related Questions
find the midpoint and distance between (5,1) and (-15,11)
Answers
Answer:
look i think is -5.005 I don't really know but I hope you get it right. Have a good day
(50 POINTS^^ JUST NEED HELP ^^)
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
A)The graph of g(x) is the graph of f(x) translated 5 units up.
B) The graph of g(x) is the graph of f(x) translated 5 units right.
C) The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
D) The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
2. The graph of function g(x) is a vertical stretch of the graph of function f(x)=x by a factor of 6.
Which equation describes function g(x)?
A) g(x)=6f(x)
B) g(x)=f(x)−6
C) g(x)=16f(x)
D) g(x)=f(x)+6
Answers
2: A; g(x)=6f(x)
Hope this helps :)
Marsha has $400 in a savings account. The interest rate is 5% per year and is not compounded. How much will she have in total in 1 year?
Answers
The total amount in the account after 1 year will be $420
Based on the information given, the following can be deduced:
Principal = $400
Interest rate = 5%
Time = 1 year
Therefore, the simple Interest will be:
= PRT/100
= ($400 × 5 × 1)/100
= $2000/100
= $20
Therefore, the amount will then be:
= Principal + Interest
= $400 + $20
= $420
Therefore, the total amount is $420
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Enter the number in scientific notation. 33,254 = x10
Answers
Answer:
33254=3.3254*10^4
Step-by-step explanation:
You use the hint
simplify the expression 6(a-4+2b)
Answers
Answer:
6a + 12b - 24
Step-by-step explanation:
I need help!! it is very confusing.
Answers
scribe
de exponente.
1- 2 x 2 x 2 x 2 =
2-3x3-
3-2/x 4 X 4 X 4 x 4 =
A 5x5 =
Answers
Answer:
1 - 2 exponent 4
2 - 3 exponent 2
A - 5 exponent 2
I don't understand 3
Step-by-step explanation:
Jon is training for a bike race and is attempting to improve his average speed. With his old trainer, Jon averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 22 MPH. By what percent did his average speed increase?
Answers
Answer:
Jon is now 10% faster.
Step-by-step explanation:
Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1
10% is the percent form of 0.1
please help thank you
Answers
Answer:
[tex]x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5[/tex]
enjoy it
The curve above the graph of a sinusoidal function. It goes through the points (-11,0) and (3,0). Find a sinusoidal function that matches the given graph.if needed you can enter pi=3.1416… as pi in your answer otherwise use at least 3 decimal digits.
F(x)=
Answers
Considering the zeros, the graph for the sinusoidal function is:
[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]
The zeros given for the function are: [tex]x = -11, x = 3[/tex].For practicality, we are going to define a sine function, which has a zero at x = 0, so we use shifting.The sine function is given by:
[tex]F(x) = A\sin{Bx}[/tex]
In which:
The amplitude is A.The period is [tex]T = \frac{2\pi}{B}[/tex].In this problem:
We suppose an amplitude of 1, thus [tex]A = 1[/tex].The difference between the zeros is 14, so we use a period of 14, thus [tex]T = 14[/tex], and:[tex]\frac{2\pi}{B} = 14[/tex]
[tex]B = \frac{2\pi}{14}[/tex]
[tex]B = \frac{\pi}{7}[/tex]
Thus:
[tex]F(x) = \sin{\frac{\pi}{7}x}[/tex]
Like this, the zeros are at [tex]x = -14[/tex] and [tex]x = 0[/tex]. We want it at [tex]x = -11, x = 3[/tex], thus, we shift the function 3 units to the right, that is, the function is:
[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]
The graph is sketched at the end of this answer, and has the desired behavior, which are points (-11,0) and (3,0).
A similar problem is given at https://brainly.com/question/22136310
Do 10-13 and make my life easier please answer it please
Answers
#10
[tex]\\ \sf\longmapsto 8^1=8[/tex]
#11
[tex]\\ \sf\longmapsto 1^8=1[/tex]
#12
[tex]\\ \sf\longmapsto (-5)^3=-125[/tex]
#13
[tex]\\ \sf\longmapsto (-5)^4=625[/tex]
Answer:
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
how to order 4,\pi ,8 from least to greatest
Answers
Answer:
pi, 4, 8
Step-by-step explanation:
BRAINLIST!!!!!
Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.
The longer piece of wood has dimensions of 2 inches by 2 inches by 6 inches. The shorter piece of wood has dimensions of 5 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?
A.
74 square inches
B.
96 square inches
C.
104 square inches
D.
100 square inches
Answers
Answer:
The 52 square inches of purple paint will Lisa use to paint her letter L, If she plans to paint all sides of it purple, including the base, the longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches and the shorter piece of wood has dimensions of 3 inches by 1 inch by 1 inch.
Step-by-step explanation: The given is, Lisa glued two pieces of wood together to make the letter L The longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches.
A college student has $240 to use for laundry money. Each time he does laundry, he spends $7.50. Which equation represents the amount of money, M, he has after he has done laundry “x” times?
A) M= 7.50x - 240
B) M= 240 - 7.50x
C) M= 7.50 - 240x
D) M= 240x - 7.50
Answers
Answer:
B
Step-by-step explanation:
x = the number of times he does laundry.
Let's say he does the laundry 5 times then x = 5.
Each time costs $7,50.
If you want to know how much money he has spent after 5 times, you have to calculate 5 times $7,50. 7,5 times 5 = 37.5.
M stands for how much money he still has left from the 240 dollars.
If you apply the formula it would be 'M = 240 - 7.50x (7.50 times 5) = 240 - 37.5 = 202.5'
Therefore, the correct answer is B (M = 240 - 7.50x).
*IS MY ANSWER CORRECT?!? IF NOT PLEASE TELL ME THE CORRECT ONE.*
[[ READ ATTACHMENTS ]]
Answers
Answer:
As I analysed it for me yes it is
Question Progress
Homework Progress
10/47
Find the nth term of this quadratic sequence
4, 7, 12, 19, 28,...
Answers
Answer:
4 7 12. 19 28 then and is 39
Given the system of equations, what is the solution?
2x + y = 7
2x - 3y = -1
Answers
Answer:
[tex](\frac{5}{2}, 2)[/tex]
Step-by-step explanation:
Hi there!
We are given this system of equations:
2x + y = 7
2x - 3y = -1
And we want to find the solution
There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one
Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0
We can multiply the equations beforehand if needed in order to manipulate the numbers.
For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:
-1(2x-3y=-1)
-2x+3y=1
Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:
2x + y = 7
-2x + 3y = 1
Add the equations together
4y = 8
Divide both sides by 4
y=2
Now let's use 2 as y to solve for x
In the first equation, substitute 2 for y:
2x + 2 = 7
Subtract 2 from both sides
2x = 5
Divide both sides by 2
[tex]x=\frac{5}{2}[/tex]
As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]
Hope this helps!
if 1/3 of taffy cost $2.10 how much is one pound of taffy?
Answers
Answer:
$6.30
Step-by-step explanation:
since 1/3 is considered 1/3 of a pound, you can multiply 2.10 by 3.
2.10 x 3 = 6.30
Answer:
$6.30
Step-by-step explanation:
3 × 2.10 = 6.30
You know you got the question right if you divide 6.30 by 3 because it's 1/3
Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.
Answers
Answer:
4 hours = 98miles
x hours = 245miles
4Hours × 245miles
-----------------------
98miles
= 10hours
=
represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width
Answers
1. If the square of a number is added to 8 times the number, the result is 100.
Let x be the number.
Equation: x² + 8x - 100 = 0
2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.
Area: 30ft²
Length: 7w
Width: w
Area of a rectangle: LW
(7w)w = 30ft²
Equation: 7w² - 30 = 0
Jamal's parents give him $20 to spend at camp . Jamal spends the same amount of money on snacks each day . After 4 days he has $12 left . What rate is Jamal spending money ? Calculate the slope using the formula
Answers
Step-by-step explanation:
20 - 12 = 8 so he spent 8$ in 4 days.
8 ÷ 4 = 2, so he spent 2$ each day
The rate of Jaman spending money every day will be $2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jamal's parents give him $20 to spend at camp. Jamal spends the same amount of money on snacks each day. After 4 days he has $12 left .
The rate of spending money every day will be calculated as,
Spending in 4 days, 20 - 12 =$8
Rate of spending = 8 ÷ 4 = $2
Therefore, the rate of Jaman spending money every day will be $2.
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How to solve linear equation
Answers
You can use elimination and substitution method
EXAMPLE :
Given :
2x + y = 5
3x - 5y = 1
2x + y = 5 (× -5)
3x - 5y = 1
__________
-10x - 5y = - 25
3x - 5y = 1
____________ _ (elimination)
-13x = - 26
x = - 26/-13
x = 2
Substitution x = 2 to 2x + y = 5 :
2x + y = 5
2(2) + y = 5
4 + y = 5
y = 5 - 4
y = 1
Write the equation of the line that passes through the points (9,3)(9,3) and (-7,-7)
Answers
Answer:
y=5/8x-21/8
Step-by-step explanation:
Will mark brainliest, plss help
Answers
Answer
C and A
Step-by-step explanation:
Someone help I really cannot get my brain to function
Answers
Answer:
21
Step-by-step explanation:
for the 42.
21×2=42
t t t t t t. t tt. t t t. r r r 4 4 4. r r r t t t t t t t t r r r r r r t. tt t t f f. re enne e r r r
6. Carla runs 3 miles in 30 minutes.
Find the number of miles Carla runs each minute. Show your work using mathematics.
Find the number of minutes Carla runs for each mile. Show your work using mathematics.
Answers
Answer:
Carla ran 0.1 miles per minute.
Step-by-step explanation:
To solve this, we need to use the distance formula.
The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.
d=rt
3=(r)(30)
Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.
3/30=(r)(30/30)
0.1=r
The rate is 0.1. Carla ran 0.1 miles per minute.
Select the circumstance when the expression (a <= b and a >= b) is true. a = −1, b = −2 a = 1, b = 1 a = 1, b = 2 a = 2, b = 1
Answers
Answer:
b = 1 a = 1
or
b = 2 a = 2
Step-by-step explanation:
PLZ HELP!!
Tim explained a function in words and Paul wrote an equation.
Tim
The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.
Paul
y−1,400=56(x+26)
Whose function has the smaller y-intercept?
Tim’s with a y-intercept of $2,700
Paul’s with a y-intercept of $2,856
Paul’s with a y-intercept of $2,800
Tim’s with a y-intercept of $2,780
Answers
Answer:
Tim's with a y-intercept of $2,780
Step-by-step explanation:
To find Paul's y-intercept, solve the equation y-1400=56(x+26) for y. Then use the standard format for a linear equation y=mx+b to determine the y-intercept which would be b.
Step 1. Get y by itself by adding 1,400 to both sides.
y-1400 + 1400 = y
56(x+26) + 1400 = 56(x+26) + 1400
New equation y = 56(x+26) + 1400
Step 2. Distribute 56(x+26)
56(x+26) = 56 * x + 56 * 26 = 56x + 1456
New equation y = 56x + 1456 + 1400
Step 3. Simplify.
y = 56x + 2856
Paul's y-intercept would be 2856 because when y=0 x=2856
To Find Tim's y-intercept, subtract 225 * 8 from 4580.
225 * 8 = 1800
4580 - 1800 = 2780
Answer:D or answer 4 or 2,780 dollars.
Step-by-step explanation:
test
Please help me out I can’t not afford to fail math right now I will mark brainliest when it lets me
Answers
that's because 5 to the power of 2 is 25
Answer:
x = 5, -5
Step-by-step explanation:
17+x^2=42
-17 -17
x^2 = 25
x = + or - root of 25
x = 5,-5
"The quotient of
a number and 6
minus 3 is l”
Answers
Answer:
3
Step-by-step explanation:
6-3=3
8-5=3
so that is the answer