[tex]C = \frac{1}{4}n( \: a(1) \: + \: a(2) \: ) \\ [/tex]
Multiply sides by 4
[tex]4 \times C = 4 \times \frac{1}{4}n( \: a(1) + a(2) \: ) \\ [/tex]
[tex]4C = n( \: a(1) + a(2) \: )[/tex]
Divided sides by n
[tex] \frac{4C}{n} = \frac{n}{n}( \: a(1) + a(2) \: ) \\ [/tex]
[tex] \frac{4C}{n} = a(1) + a(2) \\ [/tex]
Subtract sides - a (2)
[tex] \frac{4C}{n} - a(2) = a(1) + a(2) - a(2) \\ [/tex]
[tex] \frac{4C}{n} - a(2) = a(1) \\ [/tex]
[tex]a(1) = \frac{4C}{n} - a(2) \\ [/tex]
_________________________________
Done ♥️♥️♥️♥️♥️
What is the fraction for the following decimal expansion?
0.125
A. 1/8
B. 1/4
C. 5/12
D. 1/25
Answer:
A=1/8
Step-by-step explanation:
used a calculator
Divide using a common factor of three to find an equivalent fraction for 9/12
- - - - - - - - - - - - - - - - - -
First, figure out how three goes into each number.
- - - - - - - - - - - - - - - - - -
3 x 3 = 9
3 x 4 = 12
- - - - - - - - - - - - - - - - - -
Now, divide each by three ⇣
9 / 3 = 3
12 / 3 = 4
Take each quotient (answer) and make a fraction.
3/4 ↩︎- - - - - - - - - - - - - - - - - -
Have a great day/night! :)
~pinetree
For Anthony's birthday, his mother is making cupcakes for his 8 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony's mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake?
Answer:
Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
Step-by-step explanation:
Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ([tex]\frac{3}{4}[/tex] dozens).
From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.
According to the recipe, the required amount of flour and cupcakes are, respectively:
Flour
[tex]3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups[/tex]
Cupcakes
[tex]2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens[/tex]
If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:
[tex]x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }[/tex]
[tex]x = \frac{3}{4}\,dozen[/tex]
In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
CAN SOMEONE PLS HELP ME WITH THIS
Answer:
B and Line HG
Step-by-step explanation:
1st One:
This one is kind of hard to explain without an image, but imagine the planes that those triangles are on went on forever. If you think about it, you'll realize that they intersect along line FG. You'll be able to learn how to do this with a little bit more practice.
2nd One:
The symbol above the HG stands for a line, because both ends go on forever. A ray would have one endpoint and one end going on forever, and a line segment would have two endpoints, so no arrows above it.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
It would be (2,5)
Step-by-step explanation:
Right 2
and flip
:)
Brainlist appreicated
PLEASE HELP!!! 30 POINTS!!!
Answer:
completing the square
Step-by-step explanation:
you have to complete it to get the awnser
Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-3y=−9
Answer:
Step-by-step explanation:
Slope-intercept from: y = mx +c
Here, m is the slope & c is the y-intercept.
So, we have to isolate y. To isolate y first subtract 2x from both sides.
2x - 3y = -9
-3y = -2x -9
Now, divide the entire equation by the co efficient of y (-3)
[tex]\dfrac{-3}{-3}y=\dfrac{-2}{-3}x-\dfrac{9}{-3}\\\\\\y=\dfrac{2}{3}x + 3[/tex]
which type of angle is pictured?
Answer:
acute angle
Step-by-step explanation:
An acute angle is less than 90 degrees.
Answer:
C. Acute
Step-by-step explanation:
There is no square so it's no a right.
It's not a straight because it's 180° which is a straight line.
It's not obtuse since it doesn't seem to be larger than 90°.
Your teacher will grade your response to ensure that you receive proper credit for your answer.
It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain using your knowledge of congruent triangles.
Answer:
The answer is
Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:
STATEMENTS | REASONS
(1) BC = CD | Given
m(2) AC = AC | Reflexive Property
(3) triangle ACD = triangle ACB | SAS Congruence
(4) AD = AB | CPCTC
when CPCTC means Congruent Parts of Congruent Triangles are Congruent.
Therefore, the distance from first base to home plate, and from home plate to third plate are equal.
webew7 and 240 more users found this answer helpful
THANKS
149
4.0
(91 votes)
Answer
3.0/5
Step-by-step explanation:
Answer:
The answer is
Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:
STATEMENTS | REASONS
(1) BC = CD | Given
m(2) AC = AC | Reflexive Property
(3) triangle ACD = triangle ACB | SAS Congruence
(4) AD = AB | CPCTC
when CPCTC means Congruent Parts of Congruent Triangles are Congruent.
Therefore, the distance from first base to home plate, and from home plate to third plate are equal.Step-by-step explanation:
translate the following phrase into a mathematical expression 12 fewer than triple the value of x
Answer:
3x- 12
Step-by-step explanation: :))) this is true because a number next to a variable means multiplying and then youd subtract 12 from that total
Consider the line 9x+6y= -3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
x= 27
y= 18
Step-by-step explanation:
Frank got a new job through Valley Employment Service. The job pays $71K per year, and the one time agency fee is equal to 38% of one month's pay. How much must Frank pay the agency? SHOW WORK
Answer:
$2248.33
Step-by-step explanation:
Salary = $71,000/yr
so salary per month:
12 --> months in a year
[tex] \frac{71000}{12} = 5916.67[/tex]
if the one time agency fee is 38% of monthly salary'
($5916.67) (0.38) = $2248.33
what ratio represents the ratio sin (A) in the diagram?
Answer:
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Step-by-step explanation:
what is 5/3 times 6/48
Answer:
The Answer is 0.20833333333
Step-by-step explanation:
Answer: The answer is 5/24
Step-by-step explanation: I just multiplied them.
Hope it helped : D
Which number is equivalent to 2−5⋅ 3 ⋅ 22 ⋅ 33
Answer:
-988
Step-by-step explanation:
see all u do is subtract 2-5 multiply 5 times 3 and 3 times 22 and 22 times 33 and end up getting -988
Evander is considering taking a $6,000
student loan that charges 3. 5% interest
compounded annually. Which amount is
closest to the total loan plus accumulated
interest in 4 years when he graduates?
F $6,885. 14 H $6,210. 00
G $6,840. 00 J $7,019. 15
Right answers only!
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885[/tex]
a
2a
3a
5a
The sum of the first five terms of this sequence is 228
Work out the value of a,
The value of x from the expression is 12
Fibonacci sequenceGiven the first five terms of a Fibonacci sequence expressed as:
a, 2a, 3a and 5a
If the sum of the first five terms is 228, hence;
a + 2a + 3a + 5a + 8a = 228
19a = 228
a = 228/19
a = 12
Hence the value of x from the expression is 12
Learn more on fibonacci sequence here: https://brainly.com/question/16934596
The cylinder shown has a volume of 619 cubic inches.
a. What is the radius of the cylinder?
Answer:
Areas and volumes of cylinders etc
Step-by-step explanation:
Given:
h = 10.7 in
V = 619 in^3
Volume (V) = π[tex]r^{2}[/tex]h
619 = 22/7×[tex]r^{2}[/tex]×10.7
∴[tex]r^{2}[/tex] = 619x7/ 22x10.7
r = 4,3 in approx.
Please check calculation for me but thats how one proceeds
The first two people to comment on this post and give me three ideas for a Christmas list for a 13-14 year old girl get's brainiest !!
Thanks for all the past recommendations !!
Step-by-step explanation:
Best Gifts for 13-Year-Old Girls!
Firefly String Lights.
Wreck this Journal.
Fujifilm Instax Mini 9 Camera.
Tulip 18 Color Tie-Dye Kit.
VicTsing Bluetooth Shower Speaker.
DIY Lip Balm Kit.
Mkay Wireless Over-Ear Headphones.
Becoming Me Journal.
American girl doll
Gymnastics set
Girl who's 14
Best Gifts for a 14 Year Old Girl
Money or Gift Cards.
Electronics, Gadgets and Accessories.
Clothes and Shoes.
A Good Book or Two if she's an avid reader.
For the movie loving girl.
Something for 14 year olds who love music.
For the Creative Mind.
For the Sport Loving Teen.
Answer:
hi
Step-by-step explanation:
Firefly String
Shoes.
iphone 11
What is the equation of a vertical line passing through the point (3, -5)?
Oy=-5
Ox= -5
O y = 3
Ox=3
Answer: Format of equation of vertical line: x = (x-coord of passing point.).
ANS : D.
A television's size is
measured by the
diagonal length of the
screen. If a television is
24 inches tall and 32
inches wide, Find its
diagonal length.
Answer:
This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.
As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]
We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]
Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:
[tex]\sqrt{1600} = b[/tex]; b = 40
The diagonal lenght is 40 inches r
A ball is thrown into the air with an upward velocity of 80 feet per second. The function
h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?
after 3 seconds
after 4 seconds
after 5 seconds
after 6 seconds
Answer:
C: after 5 seconds
Estimate the perimeter of the figure to the nearest whole number.
please help
will not click links
Answer:
The perimeter to the nearest integer is 9.
How many fluid ounces are in 12 1/4 cups?
A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pound of aluminum they paid $1.55. And for each pound of plasic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum, and 10 pounds of plastic. How mush money was he paid for his recyclables?
find the value of x.
Answer:
73 degrees
Step-by-step explanation
All quadrilaterals have interior angles that add up to 360 degrees
The sum of all the angles in a quadrilateral, a four-sided shape is 360 degrees, so we get the equation:
[tex]x + 127 +87 + 73 = 360\\x + 287 = 360\\x = 73[/tex]
Therefore x = 73.
Hope that helps!
charlie wakes up in the night and looks at his 12-hour digital watch. the time he sees can be read as a three-digit number. he remarks:"the digits add to six and, if you divide the number by six, the answer is a prime." what time could it be?
12345678765432123456543212345432
Factoring
16x^5+20x^4-12x^3+24x^2
The answer to your question is 4x²(x+2)(4x²-3x+3)
Solve the equation
|2x - 5| = -3x+4
Answer:
x= 5/9 or 0.5556
Step-by-step explanation:
|2x-5| = -3x+4
|5x-5|=4
|5x|=9
|x|=5/9 or 0.5556
x= 5/9 or 0.5556
helpppppp. Which statement correctly compares the function shown on this graph with
the function y=2x- 5?
Answer:
a
Step-by-step explanation: