Answer:
There are 5 different outcomes, $30, $21, $20, $16 and $11.
Step-by-step explanation:
Bonnie has a total of 6 bills in her pocket. If she takes 3 random bills, this means that there are 20 different possibilities but the five dollar bills and ten dollar bills are not indistinctive so the number is not 20 for this example.
She can take the 1 dollar bill and the two 5 dollar bills which would make 11 dollars.
She can take the 1 dollar bill and the two 10 dollar bills which would make 21 dollars.
She can take the 1 dollar bill, one 5 dollar bill and one 10 dollar bills which would make 16 dollars.
She can take two 5 dollar bills and one 10 dollar bill which would make 20 dollars.
She can take two 10 dollar bills and one 5 dollar bill which would make 30 dollars.
So there are 5 different outcomes, $30, $21, $20, $16 and $11.
I hope this answer helps.
Final answer:
Bonnie could have possibly drawn $11, $21, $20, or $25 by selecting any 3 bills out of 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.
Explanation:
The question concerns the amount of money Bonnie could have taken from her pocket after randomly selecting 3 bills. To answer this, let's consider her initial set of bills: 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.
Here are the possible combinations of 3 bills she could draw:
1 one-dollar bill and 2 five-dollar bills: $1 + $5 + $5 = $11
1 one-dollar bill and 2 ten-dollar bills: $1 + $10 + $10 = $21
2 five-dollar bills and 1 ten-dollar bill: $5 + $5 + $10 = $20
1 five-dollar bill and 2 ten-dollar bills: $5 + $10 + $10 = $25
Therefore, the amounts of money Bonnie could have drawn are $11, $21, $20, and $25.
Maude evaluated the expression (32)–3. 1. 32 • (−3) 2. 36 3. 729 Analyze Maude’s work. Is she correct? If not, what was her mistake? Yes, she is correct. No, she should have added the exponents instead of multiplying. No, her exponent should be a negative value No, when evaluating 36, she should have found the product of 3 and 6.
Answer
3 one
Step-by-step explanation:
Answer:
Option 3. No, her exponent should be a negative value
Step-by-step explanation:
1. Yes, she is correct ❌
2. No, she should have added that exponents instead of multiplying ❌
3. No, her exponent should be a negative value✅
4. No, when evaluating 36, she should have found the product of 6 and 3❌
I NEED HELP
mean, median, and mode are all measures of central tendency. When does each measure most accurately represent a set of data?
What is the value of x in the equation -6x = 5x+ 22?
-22
0 -2
02
O 22
Answer:
x = -2
Step-by-step explanation:
Solve -6x = 5x + 22
add 6x to both sides
0 = 6x + 5x + 22
0 = 11x + 22
11x = -22
x = -22/11
x = -2
Solve.
(2/3) (1/4) =
You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.
numerator (top number): 2 * 1 = 2
denominator (bottom number): 3 * 4 = 12
Now, we have 2/12 which can be simplified to 1/6.
1/6please help asap! its needed badly
Answer:
can u retake the photo
Step-by-step explanation:
Which equations explain why Mya's claim must be true?
Answer:
(4) (M∠1 + m∠2) = 180 and (m∠3 + m∠4 + m∠2) = 180
Step-by-step explanation:
The correct equation which represent Mya's claim must be true is,
⇒ m ∠1 + m ∠2 = 180°
And, m ∠3 + m ∠4 + m ∠2 = 180°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degree.
Given that;
Mya claims that,
⇒ m ∠3 + m ∠4 = m ∠1
We know that;
Sum of all interior angles in triangle are 180 degree.
And, Sum of opposite angles of a triangle is equal to its exterior angle.
Hence, We get;
The correct equation which represent Mya's claim must be true is,
⇒ m ∠1 + m ∠2 = 180°
And, m ∠3 + m ∠4 + m ∠2 = 180°
Learn more about the triangle visit;
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8 is 2/3 of what number?
Answer:
12
Step-by-step explanation:
the number = x
2/3 of x =8
2x/3 = 8
2x= 24
x=12
Answer:
12
Step-by-step explanation:
8 is 1/3 of 24
so it's 2/3 of 12
A bank offers a savings account which pays 3% interest per year. The amount of money in the account after t years is represented by the expression P(1 + I/n)^nt, where P represents the initial amount of money invested, n represents the number of times per year the interest is compounded, i represents the interest rate, and t represents the number of years the money has been invested. Which statement describes what happens with the savings account when the interest is compounded monthly instead of yearly? Select two that apply.
Compounding interest monthly on a bank's savings account results in the annual interest being divided into 12 parts and applied each month, leading to a greater amount of compound interest as interest is earned on previously accumulated interest more frequently.
When a bank's savings account pays a certain percentage of interest per year and compounds monthly instead of yearly, two things happen:
The interest gets divided into 12 parts, since there are 12 months in a year. For a 3% annual rate, the monthly rate becomes 0.25% (3% divided by 12).
The smaller monthly interest rate is applied more frequently (12 times a year), which results in compound interest. This means interest is earned not only on the initial deposit (the principal) but also on the interest accumulated from previous months. The end result is that your balance grows at a faster rate compared to yearly compounding because you're earning interest on top of interest more frequently.
The given expression for the amount after t years is P(1 + I/n)¹nt. If n increases, the value inside the parentheses becomes closer to 1, but since it's raised to the power of nt, the overall effect is that the compound interest increases the total amount more quickly than if it were compounded annually (yearly compounding).
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Answer:
b =7
Step-by-step explanation:
8b+15=71
Subtract 15 from each side
8b+15-15 =71-15
8b = 56
Divide each side by 8
8b/8 = 56/8
b = 7
Answer:
I believe b equals 7.
Step-by-step explanation:
8b +15= 71
-15. -15
8b = 56
56/8
7
b=7
If y - 12 = 23, what would you do to solve for x? *
option 1 - add the 12 to both sides
option 2 - subtract the 12 from both sides
option 3 - subtract 23
Answer:
Option 1 - add the 12 to both sides.
Step-by-step explanation:
If you meant solve for the variable, y, then you should:
Option 1 - add the 12 to both sides.
y - 12 = 23
Isolate the variable, y. Add 12 to both sides:
y - 12 (+12) = 23 (+12)
y = 23 + 12
Simplify:
y = 23 + 12
y = 35
~
How many seconds are in 3 minutes
The caribou’s spring migration takes 2 weeks. The longest recorded migration was 838 miles. How far did the caribou travel per day?
Answer:
59.85714285714286 miles a day ≈ 60 miles a day
Step-by-step explanation:
To find this, we'd have to make the weeks into days.
2 weeks * 7 days = 14 days
Now we need to divide the miles traveled by the days:
838/14=59.85714285714286 miles a day or about 60 miles per day
Answer:
~ 60 days
Step-by-step explanation:
We have 2 weeks. Since there are 7 days a week, 2 weeks is 14 days.
To find the number of miles walked per day, we need to divide the total number of miles by the total number of days:
838 / 14 ≈ 59.9 ≈ 60 days
The system of equations shown below is graphed on a coordinate grid:
3y + x = 4
2y − x = 6
Which statement is true about the coordinates of the point that is the solution to the system of equations?
It is (−2, 2) and lies on both lines.
It is (−5, 3) and lies on both lines.
It is (−5, 3) and does not lie on either line.
It is (−2, 2) and does not lie on either line.
Answer:
A) (-2,2) lies on both lines
Step-by-step explanation:
Your answer would be the first option, (-2, 2).
We can solve this system of equations by adding them together, as the +x and -x will cancel:
3y + x = 4
+2y - x = 6
5y = 10
y = 2
Now we can find the x value by substituting the y value into one of the equations:
3(2) + x = 4
6 + x = 4
x = -2
Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.
I hope this helps!
Kayla has 40 more stamps than Gabriel. Together, they have 138. How many stamps does Gabriel have?
Answer:
98
Step-by-step explanation:
Answer:
Gabriel has 98 stamps
Step-by-step explanation:
138-40=98
I need help can you please help me please I need it
3.
The two right triangular prisms are congruent. What is the area of their bases?
15 in.
V = 90 in.
The two cylinders are congruent What is the height of cylinder B?
Step-by-step explanation:
3. The prisms are congruent, so they have the same base, height, and volume.
Volume of a prism is:
V = Ah
Plugging in values and solving for A:
90 in³ = A (15 in)
A = 6 in²
4. The cylinders are congruent, so they have the same radius, height, and volume.
Volume of a cylinder is:
V = πr²h
Plugging in values and solving for h:
176π cm³ = π (4 cm)² h
h = 11 cm
PLEASE HELP I need explanation if you can’t provide it’s ok thanks anyways
Answer:
We have, volume of cone:
V = (1/3) x base area x height
= (1/3) x pi x radius^2 x height
= (1/3) x pi x 2^2 x 4
= 16.76 (mi3)
Option D is correct
Hope this helps!
:)
Answer:
16.76
Step-by-step explanation:
Volume= πr^2 h/3
so its π (2)^2 4/3
which equals 16.76 mi^3
What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?
Answer:
A
Step-by-step explanation:
Write the coordinates of one point that lies in the second quadrant of the coordinate plane.
Answer:
Examples are: (-1,1), (-2,1), and (-3,1).
Step-by-step explanation:
The second quadrant on a coordinate plane is located in the top left.
Which expression is equal to 2x7x6?
Answers:
(2x7) + (2x6)
(2+7) x (2+6)
7+2+6
7x2x6
what's the answer?
Answer:
Option D is correct.
Step-by-step explanation:
As commutative principle 2x7x6 = 7x2x6
Hope this helps!
:)
The required form of the given expression is obtained as 7 × 2 × 6. The correct option is (D).
What is the commutative property for multiplication?The commutative property for multiplication states that the order of multiplication is not a necessary condition to change the product,
For example the products obtained from both the expressions 2 × 3 and 3 × 2 are the same.
The given expression is 2 × 7 × 6.
As per the commutative property the order of multiplication does not change the product.
Thus, the given expression can be written as,
7 × 2 × 6
Hence, the given expression can be rewritten as 7 × 2 × 6.
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A rectangular park is 50 meters wide and 90 meters long. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answer:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]
Step-by-step explanation:
The formulas for the area and perimeter of a rectangle are, respectively:
[tex]A = w\cdot l[/tex]
[tex]p = 2\cdot (w + l)[/tex]
The perimeter is equal to:
[tex]p = 2\cdot (50\,m + 90\,m)[/tex]
[tex]p = 280\,m[/tex]
Area is likewise equal to:
[tex]A = (50\,m)\cdot (90\,m)[/tex]
[tex]A = 4500\,m^{2}[/tex]
Then, equations are now described:
[tex]A = w \cdot l[/tex]
[tex]140\,m = w + l[/tex]
Likewise, the equation of area is simplified afterwards:
[tex]A = (140\,m - l)\cdot l[/tex]
[tex]A = 140\cdot l - l^{2}[/tex]
The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]
If 3 pineapples equal one strawberry, and 1 strawberry times 1 equals 1 grape and then 2 grapes equal 24 and 1 watermelon plus 1 pineapple equals 6 what does 1 grape plus one strawberry plus one watermelon equal?
Answer:
26
Step-by-step explanation:
Let pineapple be P.
Let Strawberry be S.
Let Grape be G.
Let Watermelon be W.
3 pineapples equal 1 strawberry:
3P = S ____________ (1)
1 strawberry times 1 equals 1 grape:
S * 1 = G
S = G_____________(2)
2 grapes equal 24:
2G = 24
=> G = 24 / 2 = 12
=> From (2), S = 12
1 watermelon plus 1 pineapple equals 6:
W + P = 6_________________ (3)
From (1):
P = S / 3 = 12 / 3 = 4
Putting this in (3):
W + 4 = 6
=> W = 6 - 4 = 2
1 grape plus 1 strawberry plus 1 watermelon will be:
G + S + W
= 12 + 12 + 2
= 26
The answer is 26.
Answer:
26
Step-by-step explanation:
Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. Round to the nearest hundredth.
1. Regression equation: y = 1.178 x + 0.71. 2. Substitute 3 for y: 3 = 1.178 x + 0.71. 3. Subtract 0.71 from both sides: 2.29 = 1.178 x. 4. Divided both sides by 1.178: StartFraction 2.29 Over 1.178 EndFraction = StartFraction 1.178 Over 1.178 EndFraction x.
About
hours of weekly aerobic activity will result in 3 pounds of monthly weight loss.
Answer: 1.94
Step-by-step explanation:
Answer:
1.94
Step-by-step explanation:
trust me
An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be two-thirds of an inch ?
Answer:
12 pieces
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Sorry Brainly says my answer is too short
Answer:
12
Step-by-step explanation:
The tree diagram below shows all of the possible outcomes for flipping three coins.
1st coin
2nd coin
3rd coin
Outcomes
1 1 1
1
III I
1
1
LIII III
IIIIIIII
1
1 1
1 1
H---- (HHH)
- (HHT)
- (H,TH)
- (H,1,T)
- TH,H)
(T.HT)
- (TTH)
-- (TTT)
What is the probability of one of the coins landing on tails and two of them landing on heads?
Answer:
3/8
Step-by-step explanation:
Answer:3/8
Step-by-step explanation:
what’s the missing angle?
Answer:
113°
Step-by-step explanation:
Alternate exterior angle rule
When the lines are parallel, the alternate exterior (outside) angles are equal in measure.
The top of a ladder rest at a height of 15 feet against the side of a house. If the base of a ladder is 6 ft from the house what is the length of the ladder? round to the nearest foot.
Answer:
16 feet
Step-by-step explanation:
We use Pythagorean Theorem to find the height.
leg of triangle= height of ladder = 15 feet
The hypotenuse of the formed triangle = length of ladder = L
base = 6 feet
What is length of ladder?
L^2 = 15^2 + 6^2 = 225 + 36 = 261
L = root(261) = 16.155 feet
If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
Answer:
11 gallons of gas is needed to travel 231 miles.
Step-by-step explanation:
We can set up a proportion for this problem.
For every 62 miles, you use 3 gallons of gas.
[tex]\frac{62}{3}*\frac{231}{?}[/tex]
Now, let's cross multiply.
[tex]\frac{693}{62}[/tex] ≈ [tex]11[/tex]
So, you will need about 11 gallons of gas to travel 231 miles.
Each octagon has eight sides. How many sides (S) does z octagons have?
Answer:
8z
Step-by-step explanation:
Each octagon has 8 sides
Multiply the number of octagons by the number number of sides to get the total number of sides
8*z
We have a total number of 8z sides
Answer:
z octogons have 8z sides
Step-by-step explanation:
Recipe for a cake needs 1 1/2 cups of milk. You are making 1/2 of the recipe. How much milk do you need
Answer:
3/4
Step-by-step explanation:
Answer:
3/4s
Step-by-step explanation:
1 1/2 is equal to 6/4 or 1 and 2/4 so divided by 2 equals 3/4