Answer:
C
Step-by-step explanation:
Total number of notebooks and pencils= 19
Assuming that she bought notebooks only,
amount spent
= 19($2.05)
= $38.95
Difference in actual amount spent
= $38.95 -$31.80
= $7.15
This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.
Cost difference of each notebook compared to a pencil
= $2.05 -$1.50
= $0.55
This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.
Number of sets of extra $0.55
= $7.15 ÷$0.55
= 13
Thus, she bought 13 pencils.
Amount of notebooks bought
= 19 -13
= 6
Let's check our work!
If Joanna bought 13 pencils and 6 notebooks,
total amount spent
= 13($1.50) +6($2.05)
= $19.50 +$12.30
= $31.80
Thus option C is indeed correct as it is given from the question that she spent $31.80.
Answer:
correct answer is c
Step-by-step explanation:
lucy rolls 2 fair dice and adds the results from each. work out the probability of getting a total of 10
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Answer:
3/36 = 1/12
Step-by-step explanation:
Total Outcome - 36
Possible Outcome - 4,6 5,5 6,4 : 3
Omar had 7goldfish in his fish tank. He has 3 fewer redfish than goldfish in his tank. Omar also has 8 more black fish than goldfish in his tank. How many fish does Omar have in all?
Answer:
Omar has 27 fish in all.
Step-by-step explanation:
Goldfish: OOOOOOO
Redfish: 7-3=4 OOOO
Black fish: 7+8=15 OOOOOOOOOOOOOOO
Add all of those and you get this many:
OOOOOOOOOOOOOOOOOOOOOOOOOO=27
Hope this helped lots and lots,
sincerely, me
Write the equation of the line that is parallel to the line and through the given point y=-2x+1 point (0,5)
Answer:
y = -2x+5
Step-by-step explanation:
y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept
-2 is the slope
Parallel lines have the same slope so our new line will have the same slope
y = -2x+b
The point given is the y intercept (value when x is zero)
b = 5
y = -2x+5
Marking Brainliest!
Which transformations were used to create triangle J'K'L?
Answer:
I believe it's the second one
Step-by-step explanation:
A dilation factor of 1/2 and reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L' which is the correct answer would be an option (C)
What is the Dilation?Dilation is a process for creating similar figures by changing the size.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Here triangle JKL is dilated to form triangle J'K'L
Given that the coordinates for each of the shapes:
Regular:
J = -8, 6
K = -4, 6
L = -6, 2
Prime notation:
J' = -4, -3
K' = -2, -3
L' = -3, -1
We have to determine the dilation factor.
As we know dilation factor is the ratio of sides in the original image and the image after dilation.
Dilation factor = J'K'/JK
Dilation factor = 2/4 = 1/2
Hence, a dilation factor of 1/2 reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L'
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A card is drawn randomly from nine cards labeled 1 through 9. What is the
probability of picking a 5 or an even number.
The probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].
Important information:
A card is drawn randomly from nine cards labeled 1 through 9.Probability:One card of number 5 between 1 and 9.
Even cards between 1 and 9 are 2, 4, 6, 8.
Possible outcomes for picking a 5 or an even number is 4 + 1 = 5.
Total number of cards is 9.
The probability of picking a 5 or an even number is:
[tex]P=\dfrac{5}{9}[/tex]
Therefore, the probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].
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I need help on this please
Your answer would be the last option, 0.71.
To find the probability of the next pizza not being a cheese pizza, we need to find how many pizzas in the sample weren't cheese by adding them up. This gives us:
14 + 23 + 14 = 51
The total number of pizzas made is 21 + 14 + 23 + 14 = 72.
Therefore the probability of not making a cheese pizza would be 51/72 = 0.708 = 0.71
I hope this helps!
Which expression has (x – a) as one of its factors?
A.–(x + a) – 2
B.–2(x + a)
C.(x – a) + 2
D.2(x – a)
i dont get this at all pls help im so lonely and confused...
Answer:
D
Step-by-step explanation:
When an expression is divided by its factor, there are no remainders.
Let's look at the number 6.
6= 1(6)= 2(3)
Thus, the factors of 6 are 1,2,3 and 6.
This is because 6 is divisible by all those numbers to give no remainders.
Let's look at the question again.
D. 2(x-a) is divisible by (x-a) since
[tex] \frac{2(x - a)}{x - a} = 2[/tex]
A.
[tex] \frac{ - (x + a) - 2}{x - a}[/tex]
This fraction cannot be simplified further
B.
[tex] \frac{ - 2(x + a)}{x - a} [/tex]
This fraction cannot be simplified either
C.
[tex] \frac{(x - a) + 2}{x - a} \\ = \frac{x - a}{x - a} + \frac{2}{x - a} \\ = 1 + \frac{2}{x - a} [/tex]
There is a remainder of 2 since 2 cannot be divided by (x-a). Thus, (x-a) is not a factor of this fraction.
plzzzzzzzzzzzzzzzzz help me
Answer:D
Step-by-step explanation:
A bicycle depreciates at a rate of 15%. Theresa bought a bicycle for $250. How much should it be worth 6 years later?
Final answer:
The bicycle should be worth a value of $79.16 after 6 years.
Explanation:
To calculate the value of the bicycle 6 years later, we need to find the depreciated price. The bicycle depreciates at a rate of 15% per year, so after 6 years, it will be worth 85% of its original value.
First, we calculate the value after one year: $250 * 0.85 = $212.50. Then, for each subsequent year, we multiply the previous year's value by 0.85 to calculate the new value.
Therefore, the bicycle should be worth $212.50 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = $79.16 after 6 years.
Find the surface area of the composite solid.
Answer:
190 ft^2
Step-by-step explanation:
Area of base of cube = 5x5x2
Area of sides of cube = 5x4x4
Area of triangle top = 5x6/2 then x4
Hope this helps! Good luck :)
Answer:
pretty sure its 49ft
Step-by-step explanation:
because 5x5 =25 and 6x4=24 and that equals 49ft
Find the product of 5jk(k – 2j)
Answer:
5jk²-10j²k
Step-by-step explanation:
We simply distribute the 5jk to both terms.
5jk(k) = 5jk²
5jk(-2j) = -10j²k
And then we write them together: 5jk²-10j²k
Answer:
Here is the answer. Please rate it.
Plz help me with this
Your answer would be the second option, (-4,5).
We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.
For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.
For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.
I hope this helps!
Answer:
(0,3)
Step-by-step explanation:
image 1
Image 2
image 3
Which is a scatter plot
I seriously have no idea how to do these, plz help :(
Answer:
hi :)
Step-by-step explanation:
whats 300 times 400??
then add 500
Answer:
120,500
Step-by-step explanation:
300×400=120,000
120,000+500=120,500
300 × 400= 120000
120000+500= 120500
Hope it helps!2 Points
True or false? To begin an indirect proof, you assume the inverse of what you
intend to prove is true.
O A. True
OB. False
SUBMIT
Melissa has $1,000.00 to invest for 5 years. She can choose either simple interest at 6.4% interest, or compound interest at 12.8% interest, compounded annually.
Which is the better investment?
A. A compound interest investment would be better, because Melissa would earn $826.19 in compound interest.
B. A simple interest investment would be better, because Melissa would earn $826.19 in simple interest.
C. A simple interest investment would be better, because Melissa would earn $320.00 in simple interest.
D. A compound interest investment would be better, because Melissa would earn $320.00 in compound interest.
Answer:
A
Step-by-step explanation:
simple interest
1000 x 6.4% x 5 = 320
compound int
1000(1+12.8/100)^5 - 1000=826.188
helppppppppppp plzzzzzzzzz
Answer:
6,250
Step-by-step explanation:
(4.3+8.2)500
12.5(500)
6,250
Hope this helps! Please mark brainliest :)
The area of the figure is ____ square units
Answer:
80 units
Step-by-step explanation:
Start with the rectangle of 8×6 which is 48.
Then start with a base, 2×6=12 and add 4, 2 per triangle. One base equals 16 and because it's 2 bases multiply by 2 equals 32.
32+48=80
The answer would be 80.
Hope this help and have a fabulous day!
I need help. Graph -4x + 4y = 1
Answer:
Step-by-step explanation:
Can someone please find the volume of this shape and show work for how you did it??
Answer:
[tex]221.4m^{3}[/tex]
Step-by-step explanation:
To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4[tex]m^{3}[/tex]
1) Multiply 12 by 4.1.
[tex]12*4.1=49.2[/tex]
2) Divide 49.2 by 2.
[tex]49.2/2=24.6[/tex]
3) Multiply 24.6 by 9.
[tex]24.6*9=221.4m^{3}[/tex]
Please help. Its my last, please show at least some steps as I need to show work. Tysm
From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?
A)1/13
B)1/26
C)1/4
D)1/52
Answer:
D)1/52
Step-by-step explanation:
because their is only one 5 of diamonds in each standerd 52 pack of cards
Answer: The dude below or above me is so wrong the answer for this question is c) 1/4.
Have a great day guys. ✌
Step-by-step explanation:
In circle P, the measure of arc BDC is 260, what is the measure of angle 1?
A. 100
B. 60
C. 50
D. 80
Answer:
C. 50 deg
Step-by-step explanation:
m(arc)BDC = 260 deg
Since a full circle has an arc measure of 360 deg, we can find the measure of arc BC.
m(arc)BC = 360 deg - 260 deg = 100 deg
Angle 1 is formed by a tangent to the circle and a chord of the circle and has a vertex on the circle. Its measure is half the measure of the intercepted arc.
m<1 = (1/2)m(arc)BC = (1/2) * 100 deg = 50 deg
Answer: C. 50 deg
What type of graph best displays medians?
Answer:
A Bar Graph. Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.
Step-by-step explanation:
(happy to help)
Find the missing factor.
6x2 + x - 1 = (2x + 1)(
)
Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be
used to find c her cousin's age?
Answer:
Add 4 to 17, then divide both sides by 3.
Step-by-step explanation:
Given that :
Suri's age is 4 less than 3 times her cousin's age
Suri is 17 years old
Let her cousin's age be c
Then ;
3c - 4 = 17
By adding 4 to 17; we have
3c = 17 + 4
3c = 21
Now, dividing both sides by 3 ; we have
3c/3 = 21/3
c = 7
The age of her cousin is 7 years
Answer:
Algebraic equation
Step-by-step explanation:
We would use an algebraic equation.
An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.
In this case the algebraic equation consists of constant, variables and algebraic operation.
One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.
We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.
Suri's age = 17years old
Let Suri's cousin's age = x
3 times her cousin's age = 3x
Suri's age = 4 less than 3 times her cousin's age = 3x-4
17 = 3x-4
3x = 17+4 = 21
x = 21/3
x = 7
Her cousins age = 3x = 3×7
Her cousins age = 21 years
How many different 10-letter code words can be constructed from the English alphabet?
A permutation is an arrangement of a set of objects in a specific order. The number of permutations of 10 objects taken 10 at a time is given by 10!, which is equal to 3,628,800. Thus, there are 3,628,800 different 10-letter words that can be formed from the given letters.
simplify (3c^2y^3/z^3)^3
Answer:
a
Step-by-step explanation:
Answer:
B 27x^6y^9/z^9
Step-by-step explanation:
Examine the system of equations. y = 2x – 3, y = –3 Which statement about the system of linear equations is true?
(A) The lines have different slopes.
(B) There is no solution to the system.
(C) The lines have the same slope, but different y-intercepts.
(D) The solution is (–3, –9).
Answer: A
Step-by-step explanation:
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A the lines have different slopes.
What is the System of equations?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System;
For a system of the equation to be a Dependent Consistent System, the system should have multiple solutions for which the lines of the equation must be coinciding.
For a system of the equation to be an Independent Consistent System, the system should have one unique solution for which the lines of the equation must intersect at a particular.
If the two of the given system of equations are plotted on the graph, y = 2x – 3, y = –3
Then it can be seen that the two lines have different slopes. Therefore, the correct option is A.
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