Answers
Answer:
6a+10= 3a+55
6a-3a= 55-10
3a= 45
a= 45/3
a= 15
The answer is (A) 15
Hope this helps^°^
Answer:
A. 15
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.
[tex]6a+10=3a+55[/tex]
Now, solve for a. We must get a by itself on one side of the equation.
First, subtract 3a from both sides of the equation.
[tex]6a-3a+10=3a-3a+55[/tex]
[tex](6a-3a)+10=55[/tex]
[tex]3a+10=55[/tex]
Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.
[tex]3a+10-10=55-10[/tex]
[tex]3a=55-10[/tex]
[tex]3a=45[/tex]
3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3
[tex]3a/3=45/3[/tex]
[tex]a=45/3[/tex]
[tex]a=15[/tex]
The value of a is 15 and choice A is correct.
Related Questions
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work
Answers
Answer:
3 hours
Step-by-step explanation:
Speed is the ratio of distance traveled to time taken, it is given as:
Speed = distance / time
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.
Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.
For car:
Speed = distance / time
35 = distance ([tex]d_1[/tex]) / t
[tex]d_1=35t[/tex]
For helicopter:
Speed = distance / time
78 = distance ([tex]d_2[/tex]) / t
[tex]d_2=78t[/tex]
The total distance traveled = 169.5 miles
[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]
The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours
DONT ANSWER!! am i right? 20 points!
Answers
Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
Hi, there!!!
It's so simple,
so, let's simply work with it;
Here, the given equation is;
4d-4 = 5d-8
so, let's take "4d" to right side and -8 to left side. we get,
-4+8 = 5d-4d
or, 4 = d
Therefore, the value of d is 4.
{here, we simply simplified to get answer}
YOU ARE ABSOLUTELY RIGHT...
Hope it helps....
hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)
Answers
Answer:
a rectangular prism
Step-by-step explanation:
consists of 6 faces which are rectangles
A farmer is packing eggs. Each box holds six eggs. The farmer has 860 eggs to pack. I. How many boxes can the farmer fill? 2. How many eggs will be leftover?
Answers
Answer:
1. boxes filled= 860/ 6
=143.3
= 143 boxes will be filled.
2. leftover eggs = 2
Step-by-step explanation:
Answer:
1. 143 2. 3
Step-by-step explanation:
860 divided by 6 is 143.3, so the .3 will be 3 leftover eggs
1% social security tax is charged up to the annual income of Rs 3,50,000 to an unmarried individual. If the monthly salary of an individual is Rs 16,400, how much social security tax should he pay in a year?
Answers
Answer:
Rs. 1968
Step-by-step explanation:
Tax rate = 1%
Monthly income of the person = rs. 16400
Now,
Yearly income of individual = rs. 16400×12=rs196800
Tax = tax rate × yearly income
= 1% × rs. 196800
= Rs.1968
Was the question this simple
Or I misunderstood the question :-(
Given: m || n and p is a transversal
Prove: mAngle2 = mAngle7
Horizontal and parallel lines m and n are cut by transversal p. On line m where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line n where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
What is the missing reason in the proof?
Statement Reason
1. m || n and p is a transversal 1. given
2. ∠2 ≅ ∠3 2. ver. ∠s theorem
3. m∠2 = m∠3 3. def. of congruent
4. ∠3 ≅ ∠7 4. corr. ∠s theorem
5. m∠3 = m∠7 5. def. of congruent
6. m∠2 = m∠7 6. ?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property
Answers
Answer:
∠2 ≅ ∠6
Step-by-step explanation:
Can someone solve -5x +2y=10
Answers
Answer:
[tex]x=\frac{2}{5}y-2[/tex]
Step-by-step explanation:
[tex]-5x+2y=10\\-5x+2y-2y=10-2y\\-5x=2y-10\\\frac{-5x}{-5}=\frac{2y-10}{5}\\ x=\frac{2}{5}y-2[/tex]
I think I not really sure
kristen and melissa spent 35% of their $32 on movie tickets. how much money did they spend
Answers
Answer:
11.2$
Step-by-step explanation:
Kristina and Melissa had 32$ at total
● 32$ => 100%
They have spent 35%
Let x be that amount
● x => 35%
●32 => 100
● x => 35
● x = (35×32)/100 = 11.2$
They have spent 11.2$
Answer:
They spent $20.80
Step-by-step explanation:
Since they had $32 and spent 35% of it you would do 32 * 35%
then you would get 11.2
now that is not the answer because that is just what 35% of 32 is
to get the answer you would then subtract 11.2 from 32 to get 20.8
and since this is a matter of money you would write 20.8 as $20.80.
Write an algebraic expression for the pair of numbers such that one is 33% more than the other one
Answers
Answer:
x = 1.33y
Step-by-step explanation:
33% is equal to 0.33. If a number x is 33% more than a number y, then x is 133% of y. 133% = 1.33
Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.
Answers
Answer:
Step-by-step explanation:
option A , angle B is congruent to angle E { SINCE IT IS AA POSTULATE
Answer:
B=E (b)
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answers
===================================================
Explanation:
Convert the mixed number 3 & 2/3 to an improper fraction
3 & 2/3 = 3 + 2/3
3 & 2/3 = 9/3 + 2/3
3 & 2/3 = (9+2)/3
3 & 2/3 = 11/3
The prism has a base area of 9 square units and a height of 11/3 units.
Multiply the base area by the height to get the volume
volume = (base area)*(height)
volume = (9)*(11/3)
volume = 99/3
volume = 33 cubic units
------------
You could choose to not convert to an improper fraction, and your steps may look like this
volume = (base area)*(height)
volume = (9)*(3 + 2/3)
volume = 9*3 + 9*(2/3) .... distribute
volume = 27 + 18/3
volume = 27 + 6
volume = 33 cubic units
Either way we get the same volume.
PLEASE HELP ME WITHT HIS QUESTION I NEED IT FOR HOMEWORK!!!!!
Answers
Answer: the answers are both A and B
Step-by-step explanation:
square root of 64 is 8 and the square root is 225 is 15. It can be both positive and negative
Me need big brain to answer this question c:
Answers
Answer:
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Step-by-step explanation:
Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.
As per the question , we have
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answers
Answer:
a=3
b=5
c=-8
3+5+-8=0
Step-by-step explanation:
3+5=8
5+-8=-3
3+-8=-5
i think thia is correct you can double check
(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)
Answers
Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answers
Answer:
-6723cw
Step by Step:
(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15
A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360
Answers
Answer:
B
Step-by-step explanation:
f(x) = [tex]\sqrt{x+7} -\sqrt{x^2+2x-15}[/tex] find the domain
Answers
Answer:
x >= -7 ................(1a)
x >= 3 ...............(2a1)
Step-by-step explanation:
f(x) = [tex]\sqrt{x+7}-\sqrt{x^2+2x-15}[/tex] .............(0)
find the domain.
To find the (real) domain, we need to ensure that each term remains a real number.
which means the following conditions must be met
x+7 >= 0 .....................(1)
AND
x^2+2x-15 >= 0 ..........(2)
To satisfy (1), x >= -7 .....................(1a) by transposition of (1)
To satisfy (2), we need first to find the roots of (2)
factor (2)
(x+5)(x-3) >= 0
This implis
(x+5) >= 0 AND (x-3) >= 0.....................(2a)
OR
(x+5) <= 0 AND (x-3) <= 0 ...................(2b)
(2a) is satisfied with x >= 3 ...............(2a1)
(2b) is satisfied with x <= -5 ................(2b1)
Combine the conditions (1a), (2a1), and (2b1),
x >= -7 ................(1a)
AND
(
x >= 3 ...............(2a1)
OR
x <= -5 ................(2b1)
)
which expands to
(1a) and (2a1) OR (1a) and (2b1)
( x >= -7 and x >= 3 ) OR ( x >= -7 and x <= -5 )
Simplifying, we have
x >= 3 OR ( -7 <= x <= -5 )
Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.
find the domain
Please Answer ASAP!!!
-343x , x = -2
g(x) { (x-1)(x+2) , x = -1
x^3 - x^2 + 1 , x is not equal to -2, -1
What is g(1) ???
Answers
Answer: g(1) is 1.
Step-by-step explanation:
If we are solving for g of 1 then the first equation can't be used to solve for g of 1 because it only works in x is equal to -2.
The same way the second function will not work because x has to equal to -1.
But in the last function which is written as a polynomial it will work for this situation because x is not equal to -2 or -1 so apart from those numbers every number will work the same way 1 will work.
So plot 1 into the function and solve for it .
g(1) = 1^3 - 1^2 + 1
g(1)= 1 - 1 + 1
g(1)= 1
A dance studio charges $12 per dance class. The studio is offering a 15% discount if you pay a set of 5 classes now. How much does it cost to buy 5 classes with this offer?
Answers
Answer:
The cost might be or would be$53.00
The function f is defined by f(x) = (x + 3)(x + 1).
The graph of f in the xy-plane is a parabola. Which
of the following intervals contains the x-coordinate
of the vertex of the graph of f?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The zeroes ( = x-intercepts) are x = -3 and x = -1.
So the x -coordinate of the vertex is between x = -3 and x = -1.
The actual x-coordinate is halfway between these value: at x = -2.
Answer:
x = -3 or x = -1
Step-by-step explanation:
f(x) = (x + 3)(x + 1)
⇒ x = -3 or x = -1
Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters Reset Next
Answers
C : 35
---------------------
Factor this expression.
3x2 - 6x
Answers
Answer:
3x(x - 2)
Step-by-step explanation:
Both terms have a GCF (greatest common factor) of 3x so factoring that out, we get 3x(x - 2).
Answer:
3x ( x - 2 )
Step-by-step explanation:
First we hv to find wat is common in both of them.....
As we can see " 3x " is common in both of them
so....
If we take 3x from both the terms.... It will become....
3x square = 3x ( x )
-6x - 3x ( -2 )
Therefore the expression will become....
3 x square - 6x
= 3x ( x - 2 )
Hope this helps...
HAVE A GOOD DAY !!! ( no the biscuit ) (lol)
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointsWrite a equation representing the area Bruce covered, y, in terms of the number of tiles he used,x.
Answers
Step by step explanation:
If each tile is ¼ of a square foot then y (in terms of square feet) will be equal to x / 4 meaning that the equation would be y = 4x
A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation
According to the question
The area Bruce covered shows by y axis
The number of tiles he used is x axis .
The tiles Bruce used is 1/4 of a square foot in area .
Therefore,
Area of tiles in square foot = 4 number of titles
= 4x
now,
Equation will be :
y = 4x
Hence, A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x
To know more about equation here:
https://brainly.com/question/10413253
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In the following diagram CDFG ~ HJLK. use this information to find the value x.
Answers
Answer:
x=2.25
Step-by-step explanation:
4x=3 x 3
Solve the equation using the multiplication property of equality and the reciprocal of
1
4
.
1
4
( r −
5
2
) =
1
8
Answers
WILL GIVE BRAINLY!!!!PLEASE HELP!!!!
What are the domain and range of f(x) = 4x – 8?
domain: {x | x is a real number}; range: {y | y > –8}
domain: {x | x is a real number}; range: {y | y > 8}
domain: {x | x > 4}; range: {y | y > –8}
domain: {x | x > –4}; range: {y | y > 8}
Answers
Answer:
None of the above
Step-by-step explanation:
A graph of the function f(x) = 4x- 8 is straight line passing through (0,-8) on y axis and (2,0) on x axis.
Thus, we observe that both Domain and Range belongs R (real no.), but none of above options states that.
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!!!!!Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)
Answers
Answer:
f(x) = −6(x + 1)(x + 5)
Step-by-step explanation:
f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.
=
x
2
−
6
x
+
5
and
(
1
,
0
)
,
(
5
,
1. Association Suppose you were to collect data for each pair of
variables. You want to make a scatterplot. Which variable would
you use as the explanatory variable and which as the response
variable? Why? What would you expect to see in the scatter-
plot? Discuss the likely direction, form, and strength.
a) Apples: weight in grams, weight in ounces
b) For each week: ice cream cone sales, air-conditioner sales
c) College freshmen: shoe size, grade point average
d) Gasoline: number of miles you drove since filling up, gallons
remaining in your tank
Answers
Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?
Answers
Answer:
B
Step-by-step explanation:
This is the correct answer.
From The diagrams shown here, the option that does not fully define a translation is B.
What is a translation in mathematics?
In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.
The translation in this question is option B given the definition that we have above.
Read more on translation here: https://brainly.com/question/1046778
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