Step-by-step explanation:
(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =
= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =
= 9m² - 24m + 16 + 24m - 16 = 9m²
so, there is seemingly something missing in your original expression.
going from 9m², the most likely solution would be 9m/4 and therefore B.
but we cannot be sure, because again, I don't know what you left out in the beginning.
Determine the equation of the circle graphed below.
Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
(h, k) = center of the circle
r = radius of the circle
Center = (2, 0)
Radius = 7
Equation: (x - 2)^2 + (y - 0)^2 = 49
Answer: (x - 2)^2 + y^2 = 49
Hope this helps!
A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?
The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number of adult tickets is x
So the number of student tickets is (x-73)
x + (x-73) = 337
2x—73 = 337
2x = 410
x = 205 tickets
Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
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Susan, Frank, and Dan sent a total of 83 text messages over their cell phones during the weekend. Susan sent 7 more messages than Frank. Dan sent 4 times
as many messages as Susan. How many messages did they each send?
Number of text messages Susan sent:
Number of text messages Frank sent:
Number of text messages Dan sent:
Step-by-step explanation:
Susan message=34.66
Frank message=27.6
Dan message=28
Suppose you buy 3 pizzas for a party. Each pizza is cut into 8slices. Twenty slices are eaten. How many pizzas
were eaten?
Answer:
2 and a half pizzas were eaten
Step-by-step explanation:
3 pizzas divided into 8 slices is equal to 24 slices. So if 20 slices were eaten, we can do simple math to solve this
There are two ways to do this:
A. divide 20 by 8 to get 2.5
B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten
What is the expansion of the series sum from n equals 1 to 4 of 2 to the n plus 1 power question mark
2 + 4 + 6 + 8
2 + 4 + 8 + 16
4 + 6 + 8 + 10
4 + 8 + 16 + 32
The expansion of the series is 2 + 6 + 8 + 10
How to determine the expansion?The summation expression is given as:
[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]
When n = 1, we have:
2(n + 1) = 2(1 + 1) = 4
When n = 2, we have:
2(n + 1) = 2(2 + 1) = 6
When n = 3, we have:
2(n + 1) = 2(3 + 1) = 8
When n = 4, we have:
2(n + 1) = 2(4 + 1) = 10
So, we have:
[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]
Hence, the expansion of the series is 2 + 6 + 8 + 10
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Answer:
The correct option is actually d. 4 + 8 + 16 + 32
Step-by-step explanation:
Tom volunteered 1 out of the last 12 days at the school store. Which shows the decimal form of this ratio?
Answer:
0.0833
Step-by-step explanation:
1 out of 12 can be written as a fraction 1/12
Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833
please help i dont understand how to find c i know about theorems but
Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.
Answer:
c = 57 degrees.
Step-by-step explanation:
This is the Alternate Segment theorem:
The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.
So c = 57 degrees.
How do you add negative numbers with positives
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
[tex]5 + ( - 2) = 5 - 2 = 3[/tex]
like here we put + in front of 3 as larger number 5 is positive
second[tex] - 7 + 5 = - 2[/tex]
we put negative because 7 is larger then 5 and 7 is negative
SOMEBODY PLS HELP ME
Answer:
I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.
( I hope I'm right ^^)
( I hope this helps ^^)
Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?
Answer:
105 feet
Step-by-step explanation:
Got it right
Answer:
105
Step-by-step explanation:
correct
find the surface area of the composite figure. 5 cm 6 cm 4 cm 20 cm 12 cm R6 cm 5 cm 4 cm
help pls fast
Answer:
644 cm^2
Step-by-step explanation:
20*5*2 = 200
6*5*2 = 60
20*6 = 120
6*8 = 48
12*4*2 = 96
6*4*2 = 48
12*6 = 72
The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answer:
Step-by-step explanation:
solve the inequality 1/2b+2≤8
1/2b+2≤8
1/2b≤6
b≤12
Any number less than or equal to 12 can solve the equation.
Answer
[tex]b\leq 12[/tex]
Step-by-step explanation
You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.
Hope this helps any!
A__ is the amount you pay for the purchase of a house that decreases the amount of the loan.
O A closing payment
B. closing cost
O C. origination payment
D. down payment
Answer:
Down payment
Step-by-step explanation:
Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N
The expected value of N will be given as:- Money = N² - 5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given in the question that:-
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spunThe game costs $5 to play.The number of dollars you win is the square of the number that comes up on the spinner.If the spinner comes up 3, you win $9.So from the given information, the expression will be:-
N be a random variable that corresponds to your net winnings in dollars.
Money = N² - 5.
From the above equation, we can calculate the amount earned by the spinner number that comes.
Therefore the expected value of N will be given as:- Money = N² - 5.
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Find the volume of a cone with a base diameter of 9 in and a height of 7 in.
Step-by-step explanation:
Formula:
[tex]v = \pi \:r {}^{2} \:h[/tex]
radius is 4.5 because 9÷2=4.5
so it would be
[tex]v = \pi \times \:4.5^{2} \times 7[/tex]
volume = 445.3 units³
The triangular prism below has a base area of 31 units^2
and a volume of 310 units^3
Find its height.
The height of the given triangular prism.
Solution:[tex]h = \frac{V}{ A_{B}}[/tex]
[tex]h = \frac{310}{31} [/tex]
[tex]\large\boxed{\sf{h=10 \: units}}[/tex]
Therefore, the height of the given triangular prism is 10 units.
h= 310/31
h= 10 units
hope this helps
This composite figure is made up of three simpler shapes. What is the area of
the figure? PLEASEE I NEED HELP
Answer:
D.94 square centimeters
Step-by-step explanation:
(10×4) + (8×6) + (1/2×6×2)
= 94 cm^2
Answer:
D. 94 square centimeters
Step-by-step explanation:
It mentions the composite figure is made up of three simpler shapes.
Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)
10 x 4 + 8 x 6 + 1/2 x 6 x 240 + 48 + 688 + 694 square centimetersThe altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units. 7 14
The length side of equilateral triangle is 8.08 units
What is Altitude?The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.
Here, let the side of the equilateral triangle be x units
given altitude of the equilateral triangle = 7 units
we know,
Altitude = √3/2 X side
7 = √3/2 X x
x = 7 X 2 / √3
x = 14/√3
x = 8.08 units
Thus, the length side of equilateral triangle is 8.08 units.
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The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.
Answer:
a) 540° b) 108°
Step-by-step explanation:
Formula: (n-2)×180°
a) (5-2)×180°
3×180°=540°
b) 540°÷5=108°
n means nr of sides
Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower food are used in the 8 centerpieces?
100 members in a band, 12 members play the flute. What percentage of the band plays the flute?
How do I write 780,000 in scientific notation.
I’m having finals and I need lots of help pls explain how u got it answer
the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say
78 and 4 zeros following it
or we can say
78 * 10⁴, if we get that product, is 780000
in scientific notation, we only leave one digit to the left of the decimal point
so the same thing above can be written as
78 * 10000, can be written as 78.0 * 10000
or as
7.8 * 100000
or as
0.78 * 1000000
check their product
7.8 * 100000, is really just 780000
because we moved the decimal to the left one more slot, it
became 7.8 * 100000
or in
scientific notation, 7.8 ⨉ 10⁵Answer:
780,000 [tex]=7.8 * 10^5[/tex]
Step-by-step explanation:
Don't worry! I hope you do great on your finals, goodluck<3.
What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:[tex]a * 10^{b}[/tex]
Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below
1 ≤ | a | < 10
Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.
[tex]7.8 * 10^b[/tex]
Assuming you know how powers work, if not I'll go over them very quickly.
What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.For example 8² = 8 * 8, 8³ = 8 * 8 * 8.
To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..
It's pretty obvious that our number is in the 100 thousands place.
Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.
remember the equation:
[tex]7.8 * 10^b[/tex]
We are trying to find b.
10 to what power is equal to 100,000
[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]
How I like to remember what a power equals is counting the 0's :)
How we know if our answer is correct is plugging it into our equation and solve:
[tex]7.8 * 10^5[/tex]
We know that 10 to the power of 5 equals 100,000.
[tex]7.8 * 100,000[/tex]
and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000
How do I solve for 4h=57.6
Pls explain bc I don’t understand Does h = 14.4
Answer:
h = 14.4
Step-by-step explanation:
4h=57.6
Divide each side by 4
4h/4 = 57.6/4
h = 14.4
Answer:
See explanation
Step-by-step explanation:
Always divide the constant by itself and the value it equals.
1) Divide both sides by 4.
[tex]h=\frac{57.6}{4}[/tex]
2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].
h = 14.4
To check our answer,
4h = 57.6
1) Let h = 14.4
4 * 14.4 = 57.6
2) Simplify 4 × 14.4 to 57.6.
57.6 = 57.6
What is the value of x in this figure?
O x=85
O x= 90
O x= 95
35° + 60° + x° = 180°
95° + x° = 180°
x° = 180° - 95°
x° = 85°
In any triangle, the sum of its interior angles measures 180º.
The store opened at 8:15 a.m. and closed at 11:45 p.m. how long was the store opened?
Answer:
3 hours and 30 minutes
Step-by-step explanation:
8:15+3=11:15
11:15+30=11:45
Answer:
15 hr 30 min
Step-by-step explanation:
8:15 - 9 am = 45 min
9 am to 11 pm = 14 hours
11pm - 11:45 pm = 45 min
90 min = 1 hr 30 min
14 hr + 1 hr 30 min = 15 hr 30 min
which expression shows the raltinship between 1 and 2 and 6 and 3
Step-by-step explanation:
THREE SOLUTION TO PROVE ITS FALSE
1:2
Multiply by 3 on each side
1*3 : 2*3 = 3:6
This is not the same as 6:3
3 apple:6 bananas is not the same as 6 apples: 3 bananas
1:2 is equivalent to 6:12 not 6:3
because 1x6=6 2×6=12 =6:12
3)
however when we solve mathematically
1/2=6/3
1/2=2
The sides are not equa so its false
Write inequalities to represent the situations below.
1.
At the airport, each piece of luggage to be checked in must not weigh more than 40 pounds.
Use w to represent the weight (in ponds) of a piece of luggage that can be checked in.
2. The distance to the nearest exit door is at most 200 ft.
Use d to represent the distance (in feet) to the nearest exit door
What are the integer solutions to the inequality below? 2 x < 3 x + 4 ≤ x + 6
Answer:
the answer is above pleaseI need help. Please and thank you
Answer:
3/4
Step-by-step explanation:
Subtract 3 2/4 from 2 3/4
- Multiply 3 and 4 to get 12.
- Add 12 and 2 to get 14.
- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.
- Multiply 2 and 4 to get 8.
- Add 8 and 3 to get 11.
- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4
- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators
- Subtract 11 from 14 to get 3