Answer:
P(blue given large)=1/2
Step-by-step explanation:
Marble being blue=1/4
Large Marble=2/5
Both blue and large=1/5
2/5x=1/5
x=1/5*5/2
x=1/2
Therefore, 1/2
Which equation demonstatres the distributive property?
A. 39 + 9 = 45
B. 39 + 3 = 39(12 + 3)
C. 36 times 9 = 9 times 36
D. (12 + 3)3 = 3(12 + 3)
Answer:
B
Step-by-step explanation:
The distributive property states that:
a(b + c) = ab + ac
Look at the choices:
A: 39 + 9 = 45
There's nothing of this form; in fact, there aren't even any parentheses, so eliminate A.
C: 36 times 9 = 9 times 36
This is saying 36 * 9 = 9 * 36. Again, there aren't any parentheses. Actually, this demonstrates the commutative property.
D: (12 + 3)3 = 3(12 + 3)
There are parentheses, but they're on both sides, so this can't be right, either. In fact, this is the associative property.
By elimination, the answer is thus B.
The rule of distributive property states that [ a(b + c) = ab + ac ].
So, we need to find an answer choice that contains that specific format.
Option A is incorrect because there is nothing to solve for on the right side.
Option B is correct because it contains the same format as the rule stated above.
Option C is incorrect because its the same as [ 36 * 9 = 9 * 36 ] and it's not in the same format as the rule.
Although Option D has half of the format in the rule, it doesn't have the other half containing what it looks like after the distributive property is appplied. So, this is incorrect as well.
Therefore, the answer is B.
Best of Luck!
Which of the following could be a solution to x^2 = 400
a. -200
b. -20
c. 40
d. 100
Answer:
a. -200
Step-by-step explanation:
Square root both sides:
x = +/- 200
x = -200, 200
x = -200
Answer:
b
Step-by-step explanation:
Given
x² = 400 ( take the square root of both sides )
x = ± [tex]\sqrt{400}[/tex] = ± 20
Thus x = - 20 is a solution of the equation → b
3х +2y = 12 + у
4y — 7t = 10
Solving systems of equations
numbers 3x + 2y = 12
y = x + 1
Substitution Method
Since y is already isolated in the second equation we can use that value, to substitute for y in the first equation.
3x + 2 (x + 1) = 12
3x + 2x + 2 = 12
5x = 12 − 2
5x = 10
x = 2
Substitute the computed value of x to the second equation to determine the value of y.
y = 2 + 1
y = 3
Elimination Method
3x + 2y = 12
x − y = −1
Multiply the second equation by 2 to eliminate
x or you can also multiply the second equation by 3 to eliminate y. However since it is easier to multiply by 2, I will follow the first method.
3x + 2y = 12
2x − 2y = −2
Adding the two equations eliminates the y variable.
5x = 10
x = 2
Substitute the computed value of x to the second equation to determine the value of y.
y = 2 + 1
y = 3
Solution Set:
(2,3)
please give me a hand
Answer:
x=5? im not really sure what the question is its all fuzzy
Step-by-step explanation:
Your answer is x = 9.
To solve this equation we just need to expand the brackets and then rearrange the equation to have x on one side and the numbers on the other:
2(x + 5) - 7 = 3(x - 2)
2x + 10 - 7 = 3x - 6
2x + 3 = 3x - 6
- 2x
3 = x - 6
+ 6
9 = x
I hope this helps!
PLZ HELP ME I WILL GIVE BRAINLIEST....
A scientist wants to find the average mass of fish living in a large pond. So she will use the masses of a sample of fish from the pond to find the average mass.
Answer the questions below.
(a) Which unit(s) could be used for the unit of measurement? Check all that apply.
1.) minutes
2.) kilograms
3.) grams
4.) milligrams
5.) seconds
(b) Which of the procedures below would be the best way to find the average mass?
1.) Pick 2 fish from a shallow region of the pond and weigh each of them.
2.) Pick 42 fish from a shallow region of the pond and estimate their masses.
3.) Randomly pick 2 fish from the entire pond and estimate their masses.
4.) Randomly pick 42 fish from the entire pond and weigh each of them.
Answer:
A. 2, 3, and 4
B: 4
Step-by-step explanation:
Average mass is defined as, adding masses of all bodies and then divide by number of bodies.
(a). Kilograms, grams and milligrams
(b) Randomly pick 42 fish from the entire pond and weigh each of them.
(a). Since we are interested in the masses of the fish and not the time
so that, only unit of mass is to be considered.
Therefore, Kilograms, grams and milligrams are used to find the average mass.
(b). Since, Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen
Therefore, Randomly pick 42 fish from the entire pond and measure their masses. This will provide a representative sample with no bias.
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The measures of the interior angles of a convex hexagon form an increasing arithmetic sequence. How many such sequences are possible if the hexagon is not equiangular and all of the angle degree measures are positive integers less than degrees?
Answer:24
Step-by-step explanation:
Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
A.4
B.5
C.8
D.9
Answer:
B. 5
Step-by-step explanation:
I had this exact question on a test and got it right
The maximum number of large binders she can buy is 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.
Given that:-
Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?From the given data we can form the equation let n1 and n2 are the numbers of the small and the large binders and Sb and Lb are the cost of each binder.
n₁Sb + n₂Lb = 45 ................................1
n₁ + n₂ = 12
Now put the value of n₁ in equation 1.
( 12 - n₂ )3 + 5n₂ = 45
36 - 3n₂ + 5n₂ = 45
2n₂ = 9
n₂ = 4.5
n₂ ≅ 5
Therefore the maximum number of large binders she can buy is 5.
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I need some help with this. If you could help me, that would be great.
Answer:
.31 g / mL
Step-by-step explanation:
Density = mass / volume
Sample 3
mass = 7 1/4 = 7.25
Volume 23.1
Density = 7.25/ 23.1 = .313852814
To the nearest hundredth
.31 g / mL
Analyze the set below and complete the instructions that follow.
C= {x|x<-42}
Use set-builder notation to define the complement of the set. U=R.
A. C^c=Ø
B. C^c={c|c<=-42}
C. C^c={x|x>=-42}
D. C^c={x|xeR}
Answer:
C
Step-by-step explanation:
Given: the set is defined as [tex]C=\left \{ x|x<-42 \right \}[/tex]
To find: Set builder form of the complement of the set C.
Solution:
A set is a well-defined collection of objects. Set-builder form is used to denote the elements of the set. This form can also be used to express sets using an interval or an equation.
Complement of set A refers to elements not in A.
For [tex]C=\left \{ x|x<-42 \right \}[/tex],
[tex]C^c=\left \{ x|x\geq -42 \right \}[/tex]
Option C is correct.
Evaluate the expression when a=-15 and b=-5 .
b+14
----------
3
Step-by-step explanation:
I'm not 100% sure but I believe the answer is 6 and 1/3
an event with a probability of 0 is called
A.certain
B.likely
C.impossible
Answer:
c
Step-by-step explanation:
it is impossible with a probability of 0
Answer:
Option C
Step-by-step explanation:
An event with a probability of 0 is impossible. There is no chance of the event happening. This makes A and B wrong.
The correct answer is C.
Brainilest Appreciated!
You have $20 to spend. You buy socks that cost $3 per pair. Write an algebraic expression for the amount of money you have left after buying s pairs of socks.
Answer:
20-3s
Step-by-step explanation:
20-3s
Answer: 20-3s
Step-by-step explanation:
20 dollars minus 3 dollars per pair (s)
Which of the following rational numbers has the smallest absolute value?
-1.5
8
-4
0.5
Answer:
0.5
Step-by-step explanation:
In a simple explanation, absolute value basically gets rid of negative signs, 0.5 is less than any of these answers in terms of being closer to zero.
Answer:
0.5
Step-by-step explanation:
Anyone know the answer and explanation? thank you!!
Answer:
The answer is 10
Step-by-step explanation: So first we divided 15 by 3 which is 5. Then we times 4 and 5 which is 20. 10+x=20, so x = to 10
Answer:
x = 10
Step-by-step explanation:
4/3 = (x+10)/15
Using cross products
15*4 = 3*(x+10)
60 = 3(x+10)
Divide each side by 3
60/3 = 3/3(x+10)
20 = x+10
Subtract 10 from each side
20-10 = x+10-10
10 = x
What two geometric properties do all polygons share?
Answer:
all sides equal and.
all angles equal.
A line graph has Number of Turns of a Large Tire on the x-axis, and Number of Turns of a Small Tire on the y-axis. For every 2 turns on a large tire, there are 10 turns on a small tire; 4, 20; 6, 30; 8, 40. Find the constant of proportionality from the proportional relationship shown on the graph.
Answer:
5
Step-by-step explanation:
Need help with these two questions no work needed just he answer thank you
Answer:
NoYesI hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
Please anwser ASAP, question below
Answer:
12/32 = 3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Please help me with this question.
Answer:
150.72
Step-by-step explanation:
v=1/3 * 3.14 *4² * 9
v=1/3 * 3.14 * 16 * 9
v=1/3 * 50.24 * 9
v=1/3 * 452.16
v=150.72
Evaluate
√18/30= what numders
Answer:
0.77745966692... (a repetitive decimal)
Rounded to the nearest hundredth is 0.78.
Step-by-step explanation:
Divide 18/30 which is 0.6.
You can use the calculator to square root 0.6.
The finalized answer is 0.777459666924...
Whether you decide to round it is up to you.
6. Find the lateral area and surface area of the
cylinder. Round to the nearest tenth.
12 cm
6 cm
Answer:
I don't know
Step-by-step explanation:
i don't know
i don't know
i don't know
i don't know
A giraffe at the zoo is 5 meters tall. Name something else that is about 5 meters tall.
Answer:
telephone pole
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the third term when you complete the square for the polynomial
x^2 + 8x?
4
8
16
64
Answer:
x^2 + 8x+16 is (x+4)^2
Step-by-step explanation:
What is the following correctly express the number below in scientific notation 395,000,000
A. 395•10⁸
B. 3.95•10⁹
C. 395•10¹⁰
D. 39.6•10⁹
E. 3.95•10⁸
F. 3.95•10⁷
Answer:
the answer would be E 3.95•10^8
(z^4+z^2-2)÷(z+3) please help
Answer: z^3 - 3z^2 + 10 z - 30
In the figure, the radius of the partial circle with center Ais 4 feet.
The perimeter of the figure is feet, and the area of the figure is
Assume 1 = 3.14, and round your answers to the nearest hundredth.
square feet
1)24.50 ;))))))))))
2)45.68 ;)))))))))
The perimeter of the figure is, 25.12 feet
And, the area of the figure is, 50.24 feet²
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The radius of the partial circle with center A is,
⇒ 4 feet.
Now,
We know that;
Perimeter of circle = 2πr
Here, r = 4 feet
⇒ Perimeter of circle = 2πr
⇒ Perimeter of circle = 2 × 3.14 × 4
⇒ Perimeter of circle = 25.12 feet
And, Area of circle = πr²
⇒ Area of circle = 3.14 × 4²
⇒ Area of circle = 50.24 feet²
Thus, The perimeter of the figure is, 25.12 feet
And, the area of the figure is, 50.24 feet²
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Matthew has 9 feet of board.He wants to cut it into 12 equal pieces . Find the length of each piece
7.5 ft
1.75 ft
1.5ft
0.75 ft
Answer:
0.75 ft
Step-by-step explanation:
Just do [tex]\frac{9}{12}[/tex]
Simplify that to [tex]\frac{3}{4}[/tex]
That's 0.75
Answer:
0.75 feet
Step-by-step explanation:
9/12 = 0.75 feet
Hope it helps !!
A rectangle's length is 4 more than twice its width. Its
area is 240 square centimeters.
Complete the work to find the dimensions of the
rectangle.
w(2w + 4) = 240
2w2 + 4w = 240
2w2 + 4w - 240 = 0
2(w + 12)(w - 10) = 0
What is the width of the rectangle?
2w + 4 A = 240 cm2
What is the length of the rectangle?
w
Answer:
Step-by-step explanation:
width = w
Length = 2w + 4
Area = 240 sq. cm
length * width = 240
(2w + 4) * w = 240
2w *w + 4*w = 240
2w² + 4w = 240
2w² + 4w -240 = 0
2(w²+2w - 120) = 0
2(w² + 12w - 10w - 10*12)=0
2 (w[w + 12] - 10[w + 12] ) = 0
2 (w + 12) (w-10) = 0
Ignore (w + 12) because measurement wont be in negative value
w - 10 = 0
w = 10
Width = 10 cm
length = 2w + 4 = 2*10 + 4 = 20 + 4
Length = 24 cm
Answer:
Width = 10
Length = 24
Step-by-step explanation:
PLEASE HELP IMAGE BELOW WITH QUESTION!!!
Answer:
2
Step-by-step explanation:
Because the base of the first is 6 and the second is 3 so 6/3 = 2
Answer:
1/2
Step-by-step explanation:
scale factor=(3 horizontal squares)/(6 horizontal squares)=1/2
You create four t-shirt options and send them to your family to vote on their favorite design. Half of the votes were design #1 . The remaining votes were split evenly between the other three designs. What fraction of the votes did each of the other designs get?
Answer:
1/6
Step-by-step explanation:
1/2=3/6
3 other designs
1/6+1/6+1/6=3/6
3/6+3/6=1
The fraction of the votes each of the other designs get is x/6.
Given that, you create four t-shirt options and send them to your family to vote on their favorite design.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the number of family members be x.
Half of the votes were design #1.
So, x/2 members voted for design #1.
Remaining family members x/2 voted evenly between the other three designs.
Thus, x/2 ÷ 3
= x/6
Therefore, the fraction of the votes each of the other designs get is x/6.
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