Answer:
[tex]4\frac{23}{33}[/tex]
Step-by-step explanation:
[tex]5 \frac{2}{12}[/tex] × [tex]\frac{10}{11}[/tex]
[tex]\frac{62}{12}[/tex] × [tex]\frac{10}{11}[/tex]
[tex]\frac{62*10}{12*11}[/tex]
[tex]\frac{620}{132}[/tex]
Divide both sides by 4
[tex]\frac{155}{33}[/tex]
Now let us write it as a mixed number
[tex]4\frac{23}{33}[/tex]
Hope this helps you :-)
Answer:
Question :[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]
Solution :[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]
Coverting 5-1/2 into improper fraction :
[tex] \dashrightarrow{\dfrac{(5 \times 12) + (2)}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{(60) + (2)}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{60 + 2}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{62}{12} \times \dfrac{10}{11}}[/tex]
Performing multiplication :
[tex] \dashrightarrow{\dfrac{62 \times 10}{12 \times 11}}[/tex]
[tex] \dashrightarrow{\dfrac{620}{132}}[/tex]
Cutting the fraction into simplest form :
[tex] \dashrightarrow{ \cancel{\dfrac{620}{132}}}[/tex]
[tex] \dashrightarrow{ \dfrac{155}{33}}[/tex]
Coverting the improper fraction into mixed fraction :
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{4 \dfrac{22}{33}}}}}}}[/tex]
Hence, the answer is [tex]\bf{4 \dfrac{22}{33}}[/tex].
Factor
x ^ 3 + 2x ^ 2 – 5x - 10 = 0
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
What is the number of solutions to the system of
equations?
Infinitely Many
Solutions
No Solution
One Solution
Two Solutions
Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
rotated clockwise about the origin through 270° Identify the vertices of the triangle after
these transformations
When a shape is rotated, it must be rotated through a point.
The vertices of the triangle would remain unchanged after both transformations
Assume the coordinates of triangle ABC is (x,y).
The first rotation is 90 degrees clockwise rotation.
The rule of this transformation is:
[tex](x,y) \to (y,-x)[/tex]
Next, the triangle is rotated 270 degrees clockwise.
The rule of this transformation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex](y,-x) \to (x,y)[/tex]
Hence, the vertices of the triangle would remain unchanged after both transformations
Read more about transformation at:
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Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
merry Christmas y'all
Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.
A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+
Answer:
(8x+3)<23 is the same as -(-8x-3)<23
Step-by-step explanation:
-(-8x-3)<23 Original equation
(8x+3)<23 [Remove the parentheses]
It is the same equation as the chosen answer: (8x+3)<23
Answer:
Choice E.
Step-by-step explanation:
-(-8x – 3) < 23
-8x - 3 > -23
-8x > -20
x < 20/8
x < 2.5.
E:-
(8x + 3) < 23
8x < 20
x < 2.5.
I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS
A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?
Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52
Answer:
67 gallons at 335 minutes
81 gallons at 405 minutes
Step-by-step explanation:
I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.
In the form of y=mx+b,
this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x
y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.
The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:
At 335 minutes, y = (1/5)(335), or 67 gallons
At 405 minutes, y = (1/5)(405) = 81 gallons
Plz solve the problem.
Answer:
x = 7
Step-by-step explanation:
A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
27/50
Step-by-step explanation:
You would have to subtract 50 and 23 to find out how many adult tickets there was
need help on this one
Answer:
[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]
Step-by-step explanation:
[tex]x=2\sqrt[3]{y-3} +4[/tex]
switch the x and y, then use order of opperations
I have to find out which quadratic equations are in standard form?
Answer:
See image
Step-by-step explanation:
In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)
Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.
Answer:
142
Step-by-step explanation:
Hope this helps
Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =
Answer:
y = -5x - 4
Step-by-step explanation:
yeah-ya............ right?
Ayudaaaaaa es para hoy
Answer:
Step-by-step explanation:
a (2³)² = 2³ˣ² = 2⁶
b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1
c (5⁶)³ = 5⁶ˣ³ = 5¹⁸
d (6²)⁴ = 6²ˣ⁴ = 6⁸
e (8³)⁴ = 8³ˣ⁴ = 8¹²
f (4³)² = 4³ˣ² = 4⁶
g (9¹)² = 9¹ˣ² = 9² = 81
h (3⁷)² = 3⁷ˣ² = 3¹⁴
i (10²)³ = 10²ˣ³ = 10⁶
j (11²)⁴ = 11²ˣ⁴ = 11⁸
Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?
Answer:
He worked 7 hours each day, last week
Step-by-step explanation:
-$420 earned last week
-He worked for 5 days (420 / 5)
-He earns $12 per hour
- How many hours he worked is unknown (x)
Equation
12x = 420/5
12x = 84
x = 7
32-?-10+4=16 what is the missing number?
What is the square root of -7
Answer:
negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc
M is the midpoint of the segment. Find the length of CG
What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm
Answer:2*225*pie/360*3
Step-by-step explanation:
The required length of the arc is 11.78cm
Angle θ = 225 degrees
radius = 3 cm
arc = ?
What is an arc?
Arc is the measure of angle on the circumference of circle.
Length of an Arc = θ × (π/180) × r
Length of an Arc =225 × (π/180) ×3
= 11.78
Thus, the required length of the arc is 11.78 cm
Learn more about arc here:
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Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents
Answer: $7 and 50 cents
Four movie tickets cost $30.00
1 movie ticket will cost 30.00/4 = $7.50
A certain stock sold for $56.12 on Monday. On Tuesday it sold for $60.19. Find the increase in the price of the stock from Monday to Tuesday
Answer:
$ 4.07
Step-by-step explanation:
The problem is asking for the Increase in the stock price from Monday to Tuesday, meaning they want to know the difference between the stock price on Monday and Tuesday.
So we subtract Monday's price from Tuesday's price.
$60.19- 56.12 = $4.07
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5
f(x) = -3x – 12
g(x) = 3x2 – 2x – 14
Answer:x
=
2
3
,
−
1
Step-by-step explanation:
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
27 ounces
Step-by-step explanation:
36 / 4 = 9 x 3 = 27
Sara bought 12 roses for $30. Find the unit price
can someone help me :
Answer:
A: yes
B: yes
C: no
D: no
E: no
Hope This Helps!!!
Answer:
s = -2
s = -8
Step-by-step explanation:
negative numbers get smaller and smaller the farther they are from zero
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
PLZ HELP MEEEEE GIVEING BRAINLYEST
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
4
x
2
y
3
Step-by-step explanation:
Answer:
[tex]4x^3y^4[/tex]
Step-by-step explanation:
Find the area of each figure
Help please just this 1-5 please answer correctly but real people only answer correctly I'll do anything
Answer: Check the answers below
Step-by-step explanation:
Remember: slope is rise/run
1) 3/15 = 0.2 ft
2) 4/3
3) 2
4) 6/8
5) 2/9