A coin is tossed and a six-sided dice is rolled. Find the probability of getting a head on the coin and a 6 on the dice.
Answer:
coin=50%
dice=16.67%
Step-by-step explanation:
write -x^2+2xy-y^2 as the opposite of the square of a binomial
ANSWER
x+y)^2=x^2+y^2+2xy -eq1
because
first we will take the LHS of eq1, i.e,
(x+y)^2
(x+y)(x+y)
x(x+y)+y(x+y)
x^2+xy+xy+y^2
x^2+2xy+y^2
Or
x^2+2xy+y^2
Hence, LHS=RHS
ITS 25 POINTS PLEASE ANSWER
Answer:
17 rows
Step-by-step explanation:
We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.
Since we are given the total number of spaces of 408. We let f(x) = 408
2x² - 10x = 408
Now we solve as a quadratic, subtract 408 to both sides
2x² - 10x - 408 = 0
Divide 2 on both sides
x² - 5x - 204 = 0
We look for terms that multiply to -204 and add to -5.
Those terms are -17 and 12
x² - 17x + 12x - 204 = 0
x(x-17) + 12(x-17)
(x+12)(x-17)
x = -12 x = 17
We can not have -12 rows but we can have 17 rows.
17 rows is the answer.
Find the x- and y-intercepts of the equation 5x-y=10.
Definition of X-intercept: a point where the y-value of the point is equal to 0
[tex]5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2[/tex]
Therefore the x-intercept is (2,0).
Definition of Y-intercept: a point where the x-value of the point is equal to 0
[tex]5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10[/tex]
Therefore the y-intercept is (0,-10).
Hope that helps!
One pack of sliced cheese weighs 350 grams. How many packages would you need to
buy to have at least 1 kilogram of cheese?
RIGHT ANSWERS ONLY!!!!!!!
Answer:
3 packages
Step-by-step explanation:
350+350=700
700+350=1100
1000 grams = 1 kilogram
Answer:
the answer is 3 pg and 1 kg
Step-by-step explanation:
Which is the larger amount? a) 7/10 of 40 cm OR 2/3 of 36 cm? Select the correct option.
Answer:
40 7/10 is larger
Step-by-step explanation:
Answer:
7/10 of 40.
Step-by-step explanation:
It would be 7/10 of 40 because do you know what they equal because I bet If I Said what they equal it would be easier for you.
7/10 or 70% of 40=28
And for 2/3 or 66.67 of 36=24 so 28 is a bigger number than 24 so 7/10 of 40 is bigger.
hope this helps have a great day:)
Which of the following is a factor of 9x^2-81?
x-27
3x-3
x-3
x-9
[tex]Hello[/tex] [tex]There![/tex]
I'll be helping your question today!
Let's do this step-by-step explanation!
[tex]9x^2-81[/tex]
Factor out common term 9: [tex]9(x^2-9)[/tex]
[tex]=9(x^2-9)[/tex]
Factor:[tex]x^2-9:(x+3)(x-3)[/tex]
[tex]=9(x+3)(x-3)[/tex]
Answer:
[tex]9(x+3)(x-3)[/tex]
The real answer is:
[tex]3x-3[/tex]
Hopefully, this helps you!!
#LearnWithBrainlyAlways~
[tex]SokkaBanned[/tex]
The factorization of [tex]9x^2 - 81[/tex] is given 9(x-3)(x+3). Therefore, (c) is the correct option.
Factorization is the method of simplification of algebraic expressions which contains variables and constants into form that can not be divided into further factors.
To factorize, we first check if any variable or constant can be taken common. Next we check for algebraic identities.
Given in the question,
[tex]= 9x^2 - 81\\\\= 9(x^2 - 9)\\\\=9(x^2-3^2)\\\\=9(x-3)(x+3)[/tex]
identity used : [tex](a^2-b^2) = (a-b)(a+b)[/tex]
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What is a fraction equivalent to 2/3 that has a denominator if 6
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ( multiply numerator/ denominator by 2 )
= [tex]\frac{4}{6}[/tex]
Please help me find the answer!!
Picture ⬇️
Answer:
(1) y≥-3x + 4
Answer:
ASWER ( 1 )
Step-by-step explanation:
[tex]y\geq -3x+4[/tex]
HOPE THAT HELP'S !
Can someone please factor this for me?
4x^2-12x+9 and give a step-by-step explanation? I really don't understand how to do this.
Answer:
[tex]\left(2x-3\right)^2[/tex]
Step-by-step explanation:
[tex]4x^2-12x+9[/tex]
[tex]\mathrm{Rewrite\:in\:the\:form\:of}\:a^2+2ab+b^2:[/tex]
[tex]4x^2=(2x)^2[/tex]
[tex]9=3^2[/tex]
[tex]-12x=-2\cdot 2x\cdot 3[/tex]
[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2[/tex]
[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \:a^2-2ab+b^2=\left(a-b\right)^2[/tex]
[tex]\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2=\left(2x-3\right)^2[/tex]
[tex]=\left(2x-3\right)^2[/tex]
~Learn with Lenvy~
[tex]\\ \rm\Rrightarrow 4x^2-12x+9[/tex]
[tex]\\ \rm\Rrightarrow (2x)^2-2(2x)(3)+3^2[/tex]
So
(a-b)²=a²-2ab+b²[tex]\\ \rm\Rrightarrow (2x-3)^2[/tex]
[tex]\\ \rm\Rrightarrow (2x-3)(2x-3)[/tex]
5) You roll a six-sided die twice. What is the probability of rolling an even number and then an odd number?
A)1/16
B)1/8
C)1/5
D)1/2
The lengths, in seconds, of four folk songs are
128, 165, 182, and 141.
The lengths, in seconds, of four pop songs are
90, 98, 102, and 94.
What is the mean absolute deviation, in
seconds, of the folk songs?
A. 18
C. 19.5
B. 18.25
D. 19.75
Answer:
C. 19.5
Step-by-step explanation:
Find the square root
Answer:
Square root of 169 is 13.
Step-by-step explanation:
13*13=169
Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Simplify your answer. ).
The value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
What is composite function?When a function is written inside the another function, then such function is called the composite function.
The first function given in the problem is,
[tex]f(x) = x^2 - x - 2[/tex]
The second function given,
[tex]g(x) = - 6x - 8[/tex]
To find out the value of g(2), put the 2 on place of variable x in the above equation as,
[tex]g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20[/tex]
The composite function f(g(x)) can be given as,
[tex]f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418[/tex]
Thus, the value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
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find the value of x in the triangle shown below
Answer:
61
Step-by-step explanation:
We see that the triangle is isosceles as the two sides of it are 6.
In an isosceles triangle, you have two sides that are the same and two angles that are the same.
The two congruent angles will be opposite to the congruent sides.
So, we know that both angles must be x.
The Angles of a triangle add up to 180 degrees.
2x + 58 = 180
2x = 122
x = 61 ddegrees
Solution:
We know that:
Sum of interior angles of triangle: 180°We can see that the two lines of the triangle are equivalent.
This means that:
The triangle is an isosceles triangle.The bottom angles must be equivalent.Equation created: 58 + x + x = 180
Simplify the LHS.
58 + x + x = 180=> 58 + 2x = 180Subtract 58 both sides.
=> 58 - 58 + 2x = 180 - 58=> 2x = 122Divide 2 both sides.
2x = 122=> 2x/2 = 122/2=> x = 122/2 = 61Sherman counted up all his hockey player
cards and realized he had 100. He recently
purchased a book to organize them that
holds 5 cards on a page. If he puts 5 pages
in a section, how many sections will be have
in his book?
Answer:
4
Step-by-step explanation:
because 5 times 5 is 25 which 25 is how many cards fit in one section so 100-25=75 and so you could say that 100 divided by 25 is 4 so he will need 4 sections hope you find this helpful! :D
If a regular rectangle has 15 cm as the length and 20 cm as the breadth, then find the Are of rectangle ?
Question :-
If the Reactangle has length of 15 cm and the Breadth of 20 cm . Calculate the Area of Rectangle .Answer :-
Area of Rectangle is 300 cm² .Explanation :-
As per the provided information in the given question, we have been given that a Rectangle has the Length as 15 cm and it's Breadth is given 20 cm . And, we have been asked to calculate the Area of Rectangle .
For calculating the Area of Rectangle , we will use the Formula :-
[tex] \bigstar \: \: \boxed {\sf {Area \: of \: Rectangle = Length \times Breadth}} [/tex]
Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Length × Breadth
⇒ Area of Rectangle = 20 × 15
⇒ [tex] \textbf {\textsf {Area of Rectangle = 300 cm²}} [/tex]
[tex] \underline {\rule {180pt} {4pt}} [/tex]
The area of the given rectangle.
Solution:[tex]area = length \times width[/tex]
[tex]a = 15 \times 20[/tex]
[tex]a = 300 \: {cm}^{2} [/tex]
Therefore, the area of the given rectangle is 300 square centimeters.
I'll give you brainlies if you help me on this!
Answer:
5/4 ounces.
Step-by-step explanation:
There are 4 marks. So 1/4 is the smallest one. There are 5 of them. 5x1/4 is 5/4 or 1 1/4
[tex]\tt \dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}+1+\dfrac{5}{4}=\dfrac{15}{4}[/tex]
Work out the sum of 1/3, 1/5 and 3/10
Give your answer in its simplest form.
Answer:
5/6
Step-by-step explanation:
1/3 x 1/5 = 8/15 then add to 3/10 and you get 5/6 simplifed
The sum of 1/3, 1/5, and 3/10 is 5/6.
How to estimate the simplest form?
Based on the given conditions, formulate 1/3 + 1/5 +3/10
To estimate the common denominator and note the numerators above the common denominator, then we get
10 + 6 + 9/30
Calculate the sum or difference in the above equation, we get
10 + 6 + 9/30 = 25/30
Decrease the fraction to the lower term by canceling the greatest common factor, we get
25/30 = 5/6
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work out the missing numbers for a b and c mathwatch fractions adding subtracting
find the value of x and y
Answer:
Supplementary to x is a 90° angle (right angle) which means that both x and the right angle will have to equal 180 degrees:
90 + x = 180
-90 -90
x = 90°
Let's find the angle measure that is supplementary to y.
A 5 sided shape is equal to 540 degrees (you could find this by using the formula: (n - 2) x 180 where n is the number of sides)
so given interior angles:
90 + 80 + 98(supplementary to angle 82 degrees) + 136 + 136(two equal angle measures in the polygon that are missing)
= 540(which is correct), so now we know the two missing angles, 136, besides the angle supplementary to 82 degrees.
136 is supplementary to y so:
136 + y = 180
-136 -136
y = 44°
My calculator does not have a 3 key that works! How can I use this broken calculator to do 23 x 45.
[tex]\longrightarrow[/tex] This problem can be tackled by using distributive property of multiplication .
It states for any three numbers a,b and c
[tex]\green{ \underline { \boxed{ \sf{(a±b)\times c = a \times c±b\times c}}}}[/tex]
Similarly,
[tex]\quad[/tex]23 × 45
[tex]\longrightarrow[/tex](21+2) ×45
[tex]\longrightarrow[/tex]21×45+2×45
[tex]\longrightarrow[/tex]945 + 90
[tex]\longrightarrow[/tex] 1035
It can also be done as-
[tex]\quad[/tex]23 × 45
[tex]\longrightarrow[/tex](25-2) ×45
[tex]\longrightarrow[/tex]25×45-2×45
[tex]\longrightarrow[/tex]1125-90
[tex]\longrightarrow[/tex] 1035
Hector has started growing orchids in a greenhouse. He has kept a record how many new blossoms his orchids have grown each week, which may be seen in the graph below. A bar graph titled New Blossoms has week on the x-axis and number on the y-axis. Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16. Between which two weeks did the greatest increase in new blossoms occur? a. 1 and 2 b. 4 and 5 c. 5 and 6 d. 8 and 9.
The greatest increase occurred in week 4 and 5, as there was an increase of 6
we have given that,Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16.
What is the formula for the difference between two weeks?
Formula for difference is,
[tex]difference =week 1-week 2[/tex]
Therefore by using formula we get,
Week 1 and 2
Week 1: 8
Week 2: 11
11-8=3
Week 4 and 5
Week 4: 14
Week 5: 20
20-14=6
Week 5 and 6
Week 5: 20
Week 6: 24
24-20=4
Week 8 and 9
Week 8: 22
Week 9: 18
22-19=4
Therefore,the greatest increase occurred in week 4 and 5, as there was an increase of 6
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Yesterday,Reuben had 78 baseball cards. Today, he got b more. Using b, write an expression for the total number of baseball cards he has now.
Answer:
78 + b
Step-by-step explanation:
he had 78 and he added the unknown amount or b
pls mark brainliest
6 friends are selling crafts at a show. They each need to pay $7.20 to cover the table rental. They each sell 3 items. If every item is the same price, and the 6 friends make a total of $25.20, what was the sale price of each item?
Answer:
$1.40
Step-by-step explanation:
you just divide 25.20 by 18 (6 friends x 3 items) and thats it
Plss help if you I don’t how to find the answer
answer
11x = 480
i dont know
Which statement accurately describes the graph 2y = 4x + 8?
-
A
an increasing line that passes through (0, 4)
B
a decreasing line that passes through (0,0)
С
an increasing line that passes through (0,8)
D
a decreasing line that passes through (0, 2) ?
Answer:
its the 3rd one :
Step-by-step explanation:
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation
this is because the equation is y^1 - y^2 / x^1 - x^2
brainiest
I will mark brainiest whoever answers the question first i promise
Find the LCM of 36,72,90. please help me
360 is the lcm of 36 72 and 90
7. Write equations that show how these cost variables depend on the
number n of customers for the two-day tours.
a. bike rental B
b. lunch and snacks L
c. hotel rooms H
d. rental of the tour support van V
100 POINTS WILL GIVE BRAINLIEST TOO FIRST RESPONSE
Answer:
58
Step-by-step explanation:
Angle D is an inscribed angle that intercepts arc ZBC, so the measure of angle D is half the measure of arc ZBC.
m<D = (1/2)[m(arc)ZBC]
10x + 16 = (1/2)(7x - 5 + 154)
20x + 32 = 7x + 149
13x = 117
x = 9
m(arc)BZ = 7x - 5 = 7(9) - 5 = 63 - 5 = 58