Ellie is going to an amusement park. The price of admission into the park is $35, and once she is inside the park, she will have to pay $3 for every ride she rides on. How much money would Ellie have to pay in total if she goes on 14 rides? How much would she have to pay if she goes on (r) rides?
Answer:
she would have to pay 42 dollars for 14 rides
so $3 for each ride 3* 14 is 42 or just add 3, 14 times
Using the given scale factor and center dilate the following figures and state the new coordinates
See the attachment
Step-by-step explanation:Each of the points moves to 3 times the distance from A that it is currently.
For example, point B is 1 unit left and 2 units up from A. It moves to 3 units left and 6 units up from A.
If the sum of two or more mixed numbers is a whole number, then the sum of their fraction parts is a whole number. True or false? Please help
Which of the following theorems states, “If a line divides two sides of a triangle proportionally, it is parallel to the third side.”? Triangle Proportionality Theorem Converse of the Triangle Proportionality Theorem Pythagorean Theorem Converse of the Pythagorean Theorem.
Answer:
Converse of triangle proportionality theorem
Step-by-step explanation:
We are given that in a triangle ABC, D and E are some points in AB and AC respectively.
D and E divide AB and AC such that
AD/DB =AE/DC
To prove that DE is parallel to third side BC>
This can be proved using converse of triangle proportionality theorem
REcollect the triangle proportionality theorem that
If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion
So converse is is a line intersects the other sides make proportional intercepts then the line is parallel to the third side.
Answer:
The answer is Converse of the Pythagorean theorem
Step-by-step explanation:
the variables y and x have a proportinal relationship and y=12 when x=5 . what is the value of y when x=8?
Answer:
y = [tex]\frac{96}{5}[/tex]
Step-by-step explanation:
given that y and x are proportional then the equation relating them is
y = kx ← k is the constant of proportionality
to find k use the given condition y = 12 when x = 5
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{12}{5}[/tex]
y = [tex]\frac{12}{5}[/tex] x ← equation of proportionality
when x = 8, then
y = [tex]\frac{12}{5}[/tex] × 8 = [tex]\frac{96}{5}[/tex]
what other information must be given in order to be able to prove the two triangles congruent by AAS
Identify the value of the 7 in 7.724 (the one before the point)
I need help with 4 plz
Check out the attached image below. I've marked two red points on the line such that the points have whole number coordinates. This way I could compute the slope of this line to be -2/5
We move down 2 units (rise of -2) as shown by the blue arrows. Afterward, we move 5 units to the right as shown by the green arrows (which is the run). This gets us from the left red point to the right red point.
rise = -2, run = 5
slope = rise/run = -2/5
the original line shown has a slope of -2/5
----------------------------
Next we do two things to get the perpendicular slope.
Flip the fraction: -2/5 becomes -5/2
Flip the sign: -5/2 becomes +5/2 or simply 5/2
----------------------------
Final Answer: 5/2
Which of the following segments is a radius a circle A
Bc
Ac
Cm
Rs
Answer:
the segment that states the radius is AC.
Step-by-step explanation:
Evaluate the following expression.
6 -3
The simplification of the given expression is obtained as 1/216.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given expression is 6⁻³.
It can be simplified as below,
Rewrite the given expression as,
6⁻³ = ((6)⁻¹)³
Now, (6)⁻¹ = 1/6
⇒ 6⁻³ = (1/6)³
⇒ 1/6 × 1/6 × 1/6 = 1/216
Hence, the given expression can be simplified as 1/216.
To know more about exponents click on,
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The stem and lead plot below displays the ages of 30 attorneys at a small firm
Stems | Attorneys
2 | 99
3 | 00112589
4| 1234458
5| 1233458
6 | 0137
7 | 12
What is the age of the oldest attorney? What is the age of the youngest attorney?
What’s standard form of y=6x-4
To convert the slope-intercept form of a line, y = 6x - 4, to standard form, subtract 6x from both sides of the equation. The resulting standard form is -6x + y = -4.
Explanation:You asked about writing the equation y = 6x - 4 in standard form. The standard form for the equation of a line in mathematics is usually given as Ax + By = C, where A, B, and C are constants, and A should ideally be a positive integer. To convert the given equation into standard form, we want to rearrange it so that both x and y are on the same side of the equation and the constant is on the other side.
Here are the steps to convert y = 6x - 4 to standard form:
Subtract 6x from both sides of the equation to obtain -6x + y = -4.If necessary, multiply the entire equation by -1 to ensure the coefficient of x is positive. However, since standard form can also accommodate a negative A (it's just not preferred), we can leave the equation as is.Therefore, the standard form of the equation is -6x + y = -4.
prove that sin3a-cos3a/sina+cosa=2sin2a-1
Answer:
[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]
Step-by-step explanation:
we are given
[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]
we can simplify left side and make it equal to right side
we can use trig identity
[tex]sin(3a)=3sin(a)-4sin^3(a)[/tex]
[tex]cos(3a)=4cos^3(a)-3cos(a)[/tex]
now, we can plug values
[tex]\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)} [/tex]
now, we can simplify
[tex]\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)} [/tex]
[tex]\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)} [/tex]
[tex]\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)} [/tex]
now, we can factor it
[tex]\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)} [/tex]
[tex]\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)} [/tex]
we can use trig identity
[tex]sin^2(a)+cos^2(a)=1[/tex]
[tex]\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)} [/tex]
we can cancel terms
[tex]=3-4(1-sin(a)cos(a))[/tex]
now, we can simplify it further
[tex]=3-4+4sin(a)cos(a))[/tex]
[tex]=-1+4sin(a)cos(a))[/tex]
[tex]=4sin(a)cos(a)-1[/tex]
[tex]=2\times 2sin(a)cos(a)-1[/tex]
now, we can use trig identity
[tex]2sin(a)cos(a)=sin(2a)[/tex]
we can replace it
[tex]=2sin(2a)-1[/tex]
so,
[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]
Answer:
To prove : sin(3a)-cos(3a)/sin(a)+cos(a) = 2sin(2a)-1
Step-by-step explanation:
\frac{\sin3a-\cos3a}{\sin a+\cos a}=2\sin 2a-1\\\cos3a=4\cos^{3}a-3\cos a\\\sin 3a=3\sin a-4\sin ^{3}a\\substituting the value, we get\\L.H.S= \frac{3\sin a-4\sin ^{3}a-[4\cos ^{3}a-3\cos a]}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4(\sin ^{3}a+4\cos ^{3}a)}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4[(\cos a+\sin a)(\cos ^{2}a+\sin ^{2}a-\sin a\cos a)]}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4[(\cos a+\sin a)(1-\sin a\cos a)]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)[3-4(1-\sin a\cos a)]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)[3-4+4\sin a\cos a]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)(-1+4\sin a\cos a)}{\sin a+\cos a}\\-1+4\sin a\cos a\\-1+2\sin 2a\\2\sin 2a-1=R.H.S
Since, sin(2a)= 2sin(a)cos(a)
2sin(2a)= 4sin(a)cos(a)
in year 4 the store sold 112% of the total number of scooters sold during the previous three years combined determine the number of scooter sold in year 4
Answer:
2, 240
Step-by-step explanation:
In the table, the values should be
Year 1 725
Year 2 579
Year 3 696
Since Year 4 sold 112% of the previous 3 years combined, we add 725+579+696=2000. We can find 112% by writing a proportion.
[tex]\frac{112}{100} =\frac{x}{2000}[/tex]
We solve through cross multiplication of numerator and denominator of the opposite fraction.
[tex]112(2000)=100(x)\\224000=100x\\2,240=x[/tex]
f(x) = -3x^2 + 6x. Find f(2).
Answer:
f(2) = 0
Step-by-step explanation:
Evaluate the function at x = 2.
f(x) = -3x^2 + 6x
f(2) = -3(2^2) + 6 * 2
f(2) = -3(4) + 12
f(2) = 0
Answer for some points
Since you already know that two of the sides equal 10.8 mi which concludes to an isosceles triangle you'll add them which comes to 21.6 and lastly you just subtract 31 from 21.6 which is 9.4
translate this sentence into an equation. the product of janelles saving and 3 is 54 . use the variable j to represent janelles saving.
Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?
Answer:
Step-by-step explanation:
You have to use Point Slope Form:
y - Y1 = m (x - X1)m is the slopeY1 & X1 is a point on the lineThe form allows you to identify the slope & the point on the lineAbout Problem:
Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.-3 represents X1 in y - Y1 = m (x - X1) form-1 represents Y1 in y - Y1 = m (x - X1) formy - Y1 = m (x - X1)
y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form
If you want to solve it, & put it in Slope Intercept form, it would look like this:
y = mx + b
y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...
Really really sorry if I'm incorrect...
Answer: The required equation of the line is [tex]2x+3y+9=0.[/tex]
Step-by-step explanation: We are given to find the equation of a line that has a slope of [tex]-\dfrac{2}{3}[/tex] and passes through point (-3,-1).
SLOPE-INTERCEPT FORM :
The equation of a line having slope m and passing through the point (a, b) is given by
[tex]y-b=m(x-a).[/tex]
For the given line, we have
[tex]m=-\dfrac{2}{3},\\\\\\(a,b)=(-3,-1).[/tex]
Therefore, the equation of the line is given by
[tex]y-b=m(x-a)\\\\\Rightarrow y-(-1)=-\dfrac{2}{3}(x-(-3))\\\\\\\Rightarrow y+1=-\dfrac{2}{3}(x+3)\\\\\Rightarrow 3y+3=-2x-6\\\\\Rightarrow 2x+3y+9=0.[/tex]
Thus, the required equation of the line is [tex]2x+3y+9=0.[/tex]
can yall help me????
Hi There!
--------------------------------------------
Remember to follow PEMDAS.
--------------------------------------------
Problem #1:
= (25 - 6.25) + (5 · 3)²
= (18.75) + (15)²
= 18.75 + 225
= 243.75
--------------------------------------------
Problem #2:
= (8 + 3)² + 10 · (-4)
= (11²) + 10 · (-4)
= 121 + 10 · (-4)
= 121 + (-40)
= 81
--------------------------------------------
Hope This Helps :)
During Reconstruction, the Black Codes
A) protected the Constitutional rights and liberties of freed slaves.
B) forced Congress to do the bidding of former Confederate politicians.
C) were enacted by the Radical Republicans to prevent racial discrimination in the South.
Eliminate
D) were laws passed by mainly Southern states to keep African Americans in a system of virtual slavery.
Answer:
D) were laws passed by mainly Southern states to keep African Americans in a system of virtual slavery.
Step-by-step explanation:
The Black Codes were created by the Southern States and were extremely similar to slavery, in which the African Americans were not allowed many of their newly gotten rights, such as a right to education, voting, etc, and the African Americans had to endure a lot of codes that were created to make them feel inferior.
~
Answer: D) were laws passed by mainly Southern states to keep African Americans in a system of virtual slavery.
A friend is having trouble finding the sum of -84 and 28. A) What is the solution to this problem and B) what explanation would you give your friend to help them solve this problem?
Question: A) What is the solution to -84 + 28 =
B) What explanation would you give your friend to help them solve this problem?
Answer:
A) -56
Step-by-step explanation:
B) First, you have to ignore the plus sign, and recognize that the second negative number means you are subtracting that number.
If this is correct, please like the comment so others can know, too!
T(p) is a function that models the average yearly temperature based on the degree latitude(p) of the location on earth. The lines of latitude run from East to West, but they are measured in terms of North and South, extending from −90° to +90°. Which domain is appropriate for this function?
Answer:
All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].
Step-by-step explanation:
T(p) models the average yearly temperature based on degree latitude of the location.
Since the lines of latitude runs from East to West and extending from [tex]-90^\circ[/tex] to [tex]+90^\circ[/tex], they can be included in the domain.
Also, the degrees of latitude can be fractional units, positive units, or negative units. Therefore, the domain appropriate for this function is All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].
Answer:
D = all real numbers between ± 90, inclusive
Step-by-step explanation:
Degrees of latitude can be fractional units, positive units, or negative units.
**If you are on USA Test prep, the correct answer choice should be DIs 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.
Answer:
Yes, x + 12
Step-by-step explanation:
Simplify the following:
3 x - 2 x + 12
Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:
(3 x - 2 x) + 12
3 x - 2 x = x:
Answer: x + 12
Answer:
Yes, it is.
Step-by-step explanation:
3x + 12 - 2x =
Use the commutative property of addition to change the order of the addition.
= 12 + 3x - 2x
Use the distributive property of addition over multiplication in reverse (which is factoring).
= 12 + x(3 - 2)
Do the operation: 3 - 2 = 1
= 12 + x * 1
Simplify x * 1 to just x.
= 12 + x
Use the commutative property of addition.
= x + 12
There you have x + 12 from 3x + 12 - 2x by using properties and operations.
Mr.Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary after his raise?
Final answer:
Mr. Jimerson will earn $27.60 per hour after receiving a 15% raise on his original $24 per hour salary, resulting in a $3.60 increase per hour.
Explanation:
Mr. Jimerson earns $24 per hour working and qualifies for a 15% raise in salary. To calculate his new hourly salary after the raise, first determine the amount of the raise by finding 15% of his current hourly wage. Since 15% can be written as 0.15, we multiply his current wage by 0.15 to find the raise amount.
0.15 × $24 = $3.60
Next, add this raise amount to his original hourly wage to find his new salary:
$24 + $3.60 = $27.60 per hour
Therefore, Mr. Jimerson's salary after the raise will be $27.60 per hour.
If one crate of apples weighs 85 pounds, how much less do 13 crates of apples weigh than 15 crates of apples?
The calculation shows that 13 crates weigh 170 pounds less than 15 crates.
To find out how much less 13 crates of apples weigh than 15 crates of apples, we need to first determine the weight of the two different amounts of crates.
We know that one crate weighs 85 pounds.
So, for 15 crates, we multiply 15 by 85 to get the total weight:
= 15 crates x 85 pounds per crate = 1275 pounds
Next, we calculate the weight for 13 crates:
= 13 crates x 85 pounds per crate = 1105 pounds
Now, we subtract the weight of 13 crates from the weight of 15 crates:
= 1275 pounds - 1105 pounds = 170 pounds
Therefore, 13 crates of apples weigh 170 pounds less than 15 crates of apples.
Suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to go to the movies and buy one of each item. what is the total cost for all three people?
Answer:
3x = t and it costs 15 dollars in total with x = 5.
Step-by-step explanation:
The 3 represents her friends and x represents the cost of one ticket. The variable t represents the total cost or tickets. If x equals 5, then it would be 15 because of 3x.
Hope it helps :)
Answer:$52.50
Step-by-step explanation:
Help me with this please
Answer:
(4,2)
Step-by-step explanation:
An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found—one at position (1,4) and the other at (5,2) how far apart were the two artifacts? Round to the nearest tenth of a unit if necessary
Answer:
aproximatley 6 units
Step-by-step explanation:
Using synthetic division, what is the quotient (3x^3 + 4x − 32) ÷ (x − 2)?
Answer:
q1 = 3x^2 + 6x + 16
Step-by-step explanation:
2 || 3 0 4 - 32
6 12 32
========================
3 6 16 0
q(x) + r(x)/(x - 2)
r(x) = 0
q(x) = 3x^2 + 6x + 16
This does not factor down any further unless you have take complex number. The only real root isw
x = 2
Just in case you have done complex numbers
x2 = -1 + 2.0817i
x3 = -1 - 2.0817i
HELPP PLEASE I WILL CROWN YOU!!!!!
(Solve for X)
Please make sure it correct
Thank you
Answer:
x=9
Step-by-step explanation:
These two angles are equal because they are corresponding angles and the two lines are parallel.
13x-7 = 11x+11
Subtract 11x from each side
13x-11x -7 = 11x-11x+11
2x-7 = 11
Add 7 to each side
2x-7+7 = 11+7
2x = 18
Divide each side by 2
2x/2 = 18/2
x =9