Answer:
Please check the explanation.
Step-by-step explanation:
Given the statement:
''Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number''.
Let us break down the statement into an algebraic expression.
First Portion:
Let the number be: n
The difference of a number n and 2: n -2
Twice the difference of a number n and 2: 2(n-2)
Twice the difference of a number and 2 is added to 6 = 2(n-2) + 6
Second Portion:
3 times the number n: 3n
4 more than 3 times the number: 3n + 4
Combine the First portion and Second Portion:
Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number:
2(n - 2) + 6 = 3n + 4
Therefore, the required algebraic expression is:
2(n - 2) + 6 = 3n + 4BONUS SOLUTION to determine the number n
Let us solve the expression
2(n - 2) + 6 = 3n + 4
2n - 4 + 6 = 3n + 4
flip the equation
3n + 4 = 2n - 4 + 6
3n + 4 = 2n + 2
3n - 2n = 2 - 4
n = -2
Thus, the value of n = -2
WHO's BIRTHDAY was on 24 January?
my bday was yesterday
mentors can u please not remove this because i want this to be here and I WILL be VERy HApy
happy belated birthday!
Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%
Answer:
40.25 i believe
Step-by-step explanation:
9² • (1+4) + 7 – 3 • 4 =
Answer:
400.
Step-by-step explanation:
What is the line of best fit for these points?
(0, 6)(2, 10) (-2, 2)(-1,4)
Answer:
b
Step-by-step explanation:
This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)
at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.
Answer: 16 players in total
Step-by-step explanation:
12 divided by 3/4 is 16
12 / 3/4 = p
16 / p
Someone help fast! please
Answer:
48cm
Step-by-step explanation:
96/12=8
This means that 8 is the factor by which the diagram and the actual ramp vary
so then you multiply 8 times the height on the diagram to find the true height
8x6=48
Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. What is the total distance, in miles, that Ray walks to school?
Answer:
ray walks 3/8th of a mile
Step-by-step explanation:
1/4 multiplyed by 2/3 and you will get 3/8
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
I'm learning about sin, cos, and tan but I don't know how to use my calculator. My problem right now is -1.8=cos x and I need to solve for x but I don’t know what to do in my calculator.
Answer:
there is no solution for x
Step-by-step explanation:
BTW you can use math.way
Answer:
can you type out the entire equation? i'll do my best to solve it. don't screen shot the question tho because for some reason my laptop won't let me see them.
Step-by-step explanation:
Please help I’m running out of time!!!
After which event did General Douglas MacArthur take command of the US Army in the Pacific?
The Japanese invaded the Philippines.
O The US won the battle of Midway Island.
O The US and Japan fought for Guadalcanal.
O The Japanese almost won the battle of Iwo Jima.
Answer:
The answer is Battle of Midway
Step-by-step explanation:
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.
Answer:
4.835(I don't know unit.(m/in/cm)
Step-by-step explanation:
volume=πr^2h
136.78=22÷7×3^2×h
h=136.78×7÷(22×9)=4.835
a. Identify the series of transformations that would map Circle A onto Circle B.
b. Identify the series of transformations that would map Circle C onto Circle A.
Answer:
Step-by-step explanation:
Assumed Knowledge
Motivation
Content
Radii and chords
Angles in a semicircle
Angles at the centre and circumference
Cyclic quadrilaterals
The alternate segment theorem
Similarity and Circles
Links Forward
Converse of the circle theorems
Coordinate geometry
Calculus
History and Applications
The Euler line
The nine-point circle
Morley’s trisector theorem
Appendix − Converses to the Circle Theorems
Answers to Exercises
return to top
ASSUMED KNOWLEDGE
Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.
Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.
Ruler-and-compasses constructions.
The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.
The four standard similarity tests and their application.
Trigonometry with triangles.
return to top
MOTIVATION
Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.
The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.
The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.
a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.
a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.
Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.
Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.
Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.
Thus, Circle A-to-Circle B transformations are likely translations.
b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.
Rotation: To align Circles A and C, they must be rotated.
Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.
Thus, translating, rotating, and scaling map Circle C onto Circle A.
To know more about transformations
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27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
Find Cos b in the triangle
Answer:
3/5
Step-by-step explanation:
SOHCAHTOA
Cos- adjacent/hypotenuse
adjacent side: 3
hypotenuse: 5
adj/hyp: 3/5
Question 15 (5 points)
5
6
(2) There are two paths that one can choose to go from
Sarah's house to James house. One way is to take C street,
and the other way requires to take A street and then B
street. How much shorter is the direct path along C street?
(Using figure).
3
9
12
Sarah
house TTT
15
James
house
B Street
1.5 miles
C Street
A Street
2 miles
You and a friend join a gym. The registration fee is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?
Answer:
You payed for 18 months.
Step-by-step explanation:
420-60=360
360÷20=18
An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128
Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator
Answer:
4
Step-by-step explanation:
Answer:
Answer of this qn is. 4 hope it help s
Consider the complex number z shown in the graph.
Adding –2i to z results in a shift
.
The resulting number is
–
i.
Answer:
Down
3
2
Step-by-step explanation: on edge trust me.
Answer:
Adding –2i to z results in a shift ✔ down . The resulting number is ✔ 3 – ✔ 2 i.
Step-by-step explanation:
just did it on edge :)
good luck
please mark me brainliest!!
I’m literally gonna go insane from this TwT
A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?
1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite
Answer:
A Kite
Step-by-step explanation:
I know, almost 2 years late. It's a kite and I don't know why.
Which number is NOT in the solution set of x + 6 < 14?
Answer:
x < 8
Step-by-step explanation:
x + 6 < 14
x < 14-6
x < 8
hope it help u
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Tell me the answer in rows
Pasta 1.
2 and so on
Answer:
Pizza 5 4 9
Pasta 1 5 6
Salad 3 2 5
Total 9 11 20
are 2x3 and 4x4 like or unlike terms
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
An ice cream shop is choosing a milk delivery service. The Spotted Cow charges $2.80 per gallon, plus a $2 delivery fee. Dairy Farms charges $2.10 per gallon, plus a $10 delivery fee. If the ice cream shop uses 20 gallons a milk per week, which service is a better deal? Group of answer choices
Answer:
The Dairy Farm is better deal.
Step-by-step explanation:
Given that:
Per gallon charges of the Spotted Cow = $2.80
Delivery fee = $2
Let,
x be the gallons of milk.
S(x) = 2.80x + 2
Putting x = 20
S(20) = 2.80(20) + 2 = 56 + 2
S(20) = $58
Per gallon charges of the Dairy Farms = $2.10
Delivery fee = $10
D(x) = 2.10x + 10
Putting x = 20
D(20) = 2.10(20) + 10 = 42 + 10
D(20) = $52
Hence,
The Dairy Farm is better deal.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
10 three point and 14 5 point
Step-by-step explanation:
Ive answered this same question a lot
When ringing up a customer, a cashier needs 30 seconds to process payment as well as 3 seconds to scan each item being purchased. How long does it take to ring up a customer with 24 items? Write and solve an equation to find the answer.
complete the multiplication equation. (4) ( ) =-12
Answer:
-3
Step-by-step explanation:
If we substitute the blank in for x, it will make the problem easier.
(4)(x)=-12Divide each side by 4 to isolate x
x=-12/4Solve, negative 12 divided by four is 3. So:
x=-3Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?
Answer:
$0.25
Step-by-step explanation:
to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.