Answer:
$68.80
Step-by-step explanation:
First you need to find 60% of 48 which is 28.8. Then you add the 28.8 and 48 to get a total of $68.80.
Hope this helped :)
Algebric question
Subtract:
18x+21y from 22x-3y
Step-by-step explanation:
18x+21y
-
22x-3y
__________
= - 4x+24y
18x-(22x)=-4x
21y-(-3y)=24y // - * - = +
Jeremy bought 5/10 kg of mangoes, 3/4 kg of bananas and 1/2 kg of papayas. How many kilograms of fruits did he buy in all?
Answer:
add 5/10+3/4+1/2 you add number i will give you hint
You pay 5.65% on the first 110,000 of income and 1.45% in excess of $110,000. Calculate the FICA tax for an employee who earns 60,000 a year
Answer:
The FICA tax for an employee who earns 60,000 a year is $ 3,390.
Step-by-step explanation:
Given that you pay 5.65% on the first 110,000 of income and 1.45% in excess of $ 110,000, to calculate the FICA tax for an employee who earns 60,000 a year the following calculation must be performed:
60,000 <110,000
60,000 x 0.0565 = X
3,390 = X
Therefore, the FICA tax for an employee who earns 60,000 a year is $ 3,390.
In a class, we have 61 students of different majors. There are 23 chemistry majors (C), 12 math majors (M), 9 engineering majors (E), and 17 students who are undecided (U). Of these students, 4 of them have declared both math and engineering majors. A student will randomly be chosen to win a scholarship.
Suppose that we decide to award three scholarships. What is the probability that the first winner is a chemistry major, the second winner is a chemistry major, and the third winner is an undecided major? (A student cannot win more than one scholarship).
a. 0.3096.
b. 1.0319.
c. 0.0398.
d. 0.9604.
Answer:
c. 0.0398.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we find each separate probability, and then multiply them.
First winner is a chemistry major
23 chemistry majors out of 61 students. So
[tex]P(A) = \frac{23}{61}[/tex]
Second winner is a chemistry major:
Considering the first event, 22 chemistry majors out of 60 students. So
[tex]P(B) = \frac{22}{60}[/tex]
Third winner is an undecided major;
Considering the first two events, 17 undecided out of 59 students. So
[tex]P(C) = \frac{17}{59}[/tex]
Desired probability:
[tex]P(A \cap B \cap B) = P(A)P(B)P(C) = \frac{23}{61} \times \frac{22}{60} \times \frac{17}{59} = \frac{23*22*17}{61*60*59} = 0.0398[/tex]
So option c.
Can someone help me please!!!!!
Mr. Bonet has a fair coin labeled “heads” and “tails.” He will flip the coin 6 times and record his results. What is the probability that the coin will land face-up on “tails” on all six flips?
Answer:
The probability of it landing tails on all 6 flips is 1/6 chance.
Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
Answer:
[tex]Cost= \$3520[/tex]
Step-by-step explanation:
Given
[tex]l = \frac{1}{4}in[/tex]
[tex]Unit\ Cost = \$11[/tex] per ft^2
Required
Cost of dining room
Start by calculating its area.
We have:
[tex]Area = 4l * 5l[/tex] ---- the squares
Substitute [tex]l = \frac{1}{4}in[/tex]
[tex]Area = 4 * \frac{1}{4} * 5* \frac{1}{4}[/tex]
[tex]Area = \frac{5}{4}in^2[/tex]
Convert to [tex]ft^2[/tex]
[tex]Area = \frac{5}{4} * (16ft)^2[/tex]
[tex]Area = \frac{5}{4} * 256ft^2[/tex]
[tex]Area = 320ft^2[/tex]
So, the cost is:
[tex]Cost = Unit\ Cost * Area[/tex]
[tex]Cost= \$11/ft^2 * 320ft^2[/tex]
[tex]Cost= \$11 * 320[/tex]
[tex]Cost= \$3520[/tex]
jazmine made 3 1/3 cups of jam. she will separate the jam into jars that hold 2/5 cup. How many jars of jam can Jasmine make ?
Given:
Jazmine made [tex]3\dfrac{1}{3}[/tex] cups of jam.
One jar can hold [tex]\dfrac{2}{5}[/tex] cup.
To find:
Number of jars of jam can Jasmine make.
Solution:
We have,
Capacity of each jar = [tex]\dfrac{2}{5}[/tex] cup
Total jam made by Jazmine = [tex]3\dfrac{1}{3}[/tex] cups
= [tex]\dfrac{3(3)+1}{3}[/tex] cups
= [tex]\dfrac{10}{3}[/tex] cups
Now,
[tex]\text{Number of Jars of jam}=\dfrac{\text{Total jam made by Jazmine}}{\text{Capacity of each jar}}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{5}}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{10}{3}\times \dfrac{5}{2}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{25}{3}[/tex]
[tex]\text{Number of Jars of jam}=8\dfrac{1}{3}[/tex]
Approx the value to the next integer.
[tex]\text{Number of Jars of jam}\approx 9[/tex]
Therefore, Jasmine make 9 cups of jam in which 8 are completely filled and one is filled one third.
. Complete the congruence statement.
Answer: angle N
Step-by-step explanation:
The order of the triangle names HAS to indicate which angles are congruent. First letters are congruent (D and M), second letters are congruent (E and N), and third are congruent (F and O). Also, the diagram shows that the triangles are reflections of each other. reflect one triangle onto the other, and you see that E and N overlap.
pythagorean theorem!! pls help me
The unknown side is part of the 90 degree angle, so it is not the hypotenuse.
Using the Pythagorean theorem:
x = sqrt(14^2 - 10^2)
x = sqrt(196-100)
x = sqrt(96)
x = 9.7979 ( round as needed)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x + 111 + 42 = 180 ( sum of all measures is 180 degree)
x + 153 = 180
x = 180 – 153
x = 27 degree
A card is drawn from a well-shuffled deck of cards and then returned to the deck,
which is then shuffled again. A count of the number of times a card is selected
until an ace is drawn is best modeled by which distribution?
A:geometric
B:poisson
C:binomial
D:normal
A count of the number of times a card is selected until an ace is drawn is best modeled by Poisson distribution. Then the correct option is B.
What is Poisson distribution?A finite frequency distribution that estimates the likelihood that many independent occurrences will take place at the same moment.
A variable that plots symmetrically in the figure of a globe is the distribution of numerous unknown parameters.
A card is drawn from a well-shuffled deck of cards and then returned to the deck, which is then shuffled again.
A count of the number of times a card is selected until an ace is drawn is best modeled by Poisson distribution.
Then the correct option is B.
More about the Poisson distribution link is given below.
https://brainly.com/question/17280826
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find square of (6m-5n) by using formula.
Answer:
36m² -60mn +25n²
Step-by-step explanation:
Formula=(a-b)²=a²-2ab+b²
(6m-5n)²
=(6m)²- 2×6m×5n + (5n)²
=36m² -60mn +25n²
The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $3300. What are the domain and range of the cost function, C(x)? (In interval Notation)
im struggling with C terribly i Just dont understand it
When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000).
9514 1404 393
Answer:
a) $800
b) $1050
c) D: [0, 250]; R: [800, 3300]
Step-by-step explanation:
a) The problem statement tells you the fixed cost is ...
C(0) = 800 . . . . dollars
__
b) The cost of making 25 items is ...
C(25) = 10·25 +800 = 250 +800 = 1050 . . . . dollars
__
c) You cannot make fewer than 0 items. The limit on cost means the most you can make is ...
3300 = 10x + 800
2500 = 10x
250 = x . . . . . . . . maximum number of items that can be made
So, the domain of the function -- the values of x to which it pertains -- is ...
0 ≤ x ≤ 250
In interval notation, this is [0, 250] . . . domain of C(x).
The range of C(x) is the set of cost values the function may have. We already know the minimum is 800. The problem statement tells us the maximum is 3300. The cost may have any value between those limits, so ...
800 ≤ C(x) ≤ 3300
In interval notation, this is [800, 3300] . . . range of C(x).
_____
Additional comment
Square brackets are used in interval notation when the "or equal to" case is part of the limit.
We could be more specific regarding domain and range, since the domain values are integers only, and the range values are multiples of 10 only. Here, we ignore that little detail.
What is the value of the expression below when z = 5
You failed to include the expression.
HELPPPP will be appreciated PLEASEEEE
What is the inverse of the function h(x)=\dfrac{3}{2}(x-11)h(x)=
2
3
(x−11)h, left parenthesis, x, right parenthesis, equals, start fraction, 3, divided by, 2, end fraction, left parenthesis, x, minus, 11, right parenthesis?
h^{-1}(x)=h
−1
(x)=h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis, equals
Answer:
[tex]\boxed{\red{\sf h^{-1}(x)=\dfrac{4}{3}x+22}}[/tex]
Step-by-step explanation:
Given :-
h(x) = 3/2 ( x - 11)And we need to find the Inverse of the function . So for that firstly replace h(x) with y , we have ,
[tex]:\implies[/tex] h(x) = 3/2 ( x -11)
[tex]:\implies[/tex] y = 3/2 ( x - 11)
[tex]:\implies[/tex] y = 3/2x - 33/2
Now replace x and y.[tex]:\implies[/tex] x = 3/2y - 33/2
Now solve out for y .[tex]:\implies[/tex] x + 33/2 = y × 3/2
[tex]:\implies[/tex] y = (2x + 33)×2/3
[tex]:\implies[/tex] y = 4x/3 + 22
Replacing y with h-¹(x)[tex]:\implies[/tex] h-¹(x) = 4x/3 + 22
Hence the inverse of the function is 4x/3 + 22
Please help me fast. I’m confused.
Find the value of x.
168
x = [? ]°
Answer: 84
Step-by-step explanation:
The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees
Circle geometry.From the figure given, the horizontal line is the line tangential to a circle.
Given the following parameter
measure of minor arc = 168 degrees
Required
angle at the vertex "x"
Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;
x =1/2 minor arc
x= 1/2 (168)
x = 84 degrees
Hence the measure of the missing angle "x" is 84 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
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what is the discriminant of x^2=-14x-40
Answer:
Explanation:
x2+14x+40
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅40=40
and,
N1+N2=b=14
After trying out a few numbers we get N1=10 and N2=4
10⋅4=40, and 10+4=14
x2+14x+40=x2+10x+4x+40
=x(x+10)+4(x+10)
Here (x+10) is common to both terms.
So the factorised form is=(x+4)(x+10)
find the degree of the polynomial 2x3+x4-3x+5
Answer:
7x+5
Step-by-step explanation:
or, 2x3+x4-3x+5
or, 6x+x4-3x+5
or, 10x-3x+5
or, 7x+5
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
What is the name of this polygon? rectangle square trapezoid rhombus A quadrilateral. Each side has one tick mark.
Answer:
Rhombus
Step-by-step explanation:
Trapezoids have only one pair of parallel sides, therefore this isn't a trapezoid. Squares and rectangles, on the other hand, have two pairs of parallel lines like this shape. However, squares and rectangles cannot have slanted sides, and this shape does.
Help me?!?!?! Giving brainliest
Find the missing side of each triangle.
Help please !!
Answer:
1)12²+9²=225
X=15km
2)12²+x²=13²
x²= 169-144
x²=25
x=5mi
pls help and thanks a lot
Answer:
1 right angle
Step-by-step explanation:
angle TSR has a right angle, that's it.
I hope this helped!
find the area of each circle
Answer:
1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86
Step-by-step explanation:
For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26
For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985
What is the surface area of the composite solid?
6 m
6 m
8 m
8 m
25 m
10 m
15m
Sorry I don't know if I did well I'm in 3rd grade but that's bn because my sister loat 10I hope you find it useful. have a good day ❤️
The surface area of the composite solid is the combination of the triangular prism and rectangular prism. Then the surface area of the composite solid is 1658 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The surface area of the composite solid is the combination of the triangular prism and rectangular prism.
Surface area = surface area of rectangular prism + triangular prism
The surface area of the rectangular prism will be
[tex]\rm Surface \ area = 2(25 \times 10 + 25 \times 15) + 10 \times 15\\\\Surface \ area = 1250+150\\\\Surface \ area = 1400[/tex]
The surface area of the triangular prism will be
[tex]\rm Surface \ area = 2 \times \dfrac{1}{2} \times 6 \times 8 + 15\times 8+15\times 6\\\\Surface \ area = 48+210\\\\Surface \ area = 258[/tex]
Then the area of the composite solid will be
Surface area of the composite solid = 1400 + 258
Surface area of the composite solid = 1658 square meters
More about the geometry link is given below.
https://brainly.com/question/7558603
Help pls pls help pls
Answer:
c
Step-by-step explanation:
Answer:
D. 24.5
Step-by-step explanation:
5x + 8° + 3x - 24° = 180° { Being linear pair}
8x - 16° = 180°
8x = 196°
x = 196° / 8
x = 24.5°
Hope it will help :)❤
Help pls I have 3 mins
Answer:
B or (0,8)
Step-by-step explanation:
Answer:
(0,8)
Step-by-step explanation: