Answer:
30.6km/h
Step-by-step explanation:
To change from m/s to km/h needs to multiple by 36/10
36/10 × 8.5
=30.6km/h
how many 5-digit even numbers can be formed with the digits 1,2,3,4,5, and 6 if repetition is allowed?
Given:
The given digits are 1,2,3,4,5, and 6.
To find:
The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).
Solution:
To form an even number, we need multiples of 2 at ones place.
In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.
We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.
Total number of ways to form a 5 digit even number is:
[tex]Total=6\times 6\times 6\times 6\times 3[/tex]
[tex]Total=3888[/tex]
Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.
HELP WILL GIVE BRANLIEST! No links!!!
Answer:
11.5
Step-by-step explanation:
[tex]14^{2} - 8^{2} = 132\\\sqrt{132}= 2\sqrt{33} = 11.48912529\\answer-is -11.5[/tex]
Answer:
11.48
Step-by-step explanation:
Pythagoras Therum
8^2 + x^2 = 14^2
64 +×^2 = 196
x^2 = 132
sqrt both sides
11.48
Draw a diagram of x + 2, and a separate diagram of 3x, when x is 2.
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
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88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
The total number of students in the student body is 110.
How many students are in the student body?Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.
Number of students in the student body = number of students that watch TV everyday / percentage
88 / 80%
= 88 / 0.8 = 110
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Question 1-1
Barrett earns $15 per hour cutting grass and $10 per hour tutoring reading. In one month, Barrett needs to save at least $400 for a
new lawnmower but does not want to work more than 35 hours.
Part A: Let z represent the hours cutting grass and y represent the hours tutoring. Given z 20 and y ≥ 0, select all the inequalities
that represent the situation.
On solving the inequality we know, Barrett should work 25 hours tutoring and 10 hours cutting grass to make $400.
What exactly does inequality mean?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality results from a lack of balance.
Solution:-
given,
z=hours of cutting grass
y=hours of tutoring
Two equation can be made using given condition
15z+10y=400
and
z+y=35
Solving both equation simultaneously,
we get
y=25
z=10
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Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
(a) What is the expected value of the number shown when we draw a single slip of paper?
(b) What is the expected value of the number shown if we add one additional 3 to the bag?
(c) What is the expected value of the number shown if we add two additional 3's (instead of just one) to the bag?
The expected values for each experiment are:
A) 3.4
B) 3.36
C) 3.33
How to get the expected values?If we have an experiment with the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability:
{p₁, p₂, ..., pₙ}
Then the expected value of that experiment will be:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
A) in this case we have 10 slips of paper, 8 of them with the number 3, and 2 of them with the number 5.
So the outcomes are:
{3, 5}
The probabilities are:
{8/10, 2/10}
Then the expected value is:
EV = 3*(8/10) + 5*(2/10) = 3.4
B) If we add another slip of paper with a number 3 on it, the new probabilities are:
{9/11, 2/11}
Then the new expected value is:
EV = 3*(9/11) + 5*(2/11) = 3.36
C) Finally, if we add 2 slips of paper with the number 3, now we will have a total of 12 slips of paper, then the new probabilities are:
{10/12, 2/12}
So the new expected value is:
EV = 3*(10/12) + 5*(2/12) = 3.33
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Solve: 10y2+57y+35=0.
Answer: y = −0.7, -5
Step-by-step explanation:
Dan is trying to construct a bigger square by utilizing and putting together pieces of square-shaped pieces of paper with similar dimensions. Without tearing or cutting, what is the minimum number of pieces required to achieve his objective?
The minimum number of pieces dan requires to achieve his objective of constructing a bigger square is; 4 pieces
First of all we need to understand that the 4 sides of a square are equal.We are told that dan is trying to construct a bigger square with a smaller square. That all the smaller square-shaped pieces of paper have similar dimensions.
Now, if the length of a side of the small square shaped pieces is x, it means that if we join 2 of the smaller squares, we will have;Length = 2x
Width = x
Both sides above are not equal and as such we need to join 2 more squares the exact way the above was done. This means that if the 2 new squares are added adjacent to the incomplete side, we will now have;Length = 2x
Width = 2x
Thus, the minimum number of pieces dan will require to construct the bigger square is 4 squares.
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The formula for finding the perimeter of a rectangle is P = 2 × l + 2 × w.
For which of the following quadrilaterals could you NOT use this formula to find its perimeter?
A.
Parallelogram
B.
Rhombus
C.
Square
D.
Trapezoid
Answer:
D. trapezoid
Step-by-step explanation:
---------------
Can y’all help me?!
Answer:
4 is next in NUMBER OF DAYS
9 is the first in NUMBER OF TADPOLES
41 is the 2nd answer ON NUMBER OF TADPOLES
Step-by-step explanation:
hope this helps a lot!!
Three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?
The candy bar will each person get will be 4 / 15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally.
The amount of candy shared by each person will be,
Amount = ( 4 / 5 ) ÷ 3
Amount = 4 / 15
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Given the triangle below what is the length of the third side rounded to the nearest whole number?
Will Give brainliest
No links please.
Sorry I over complicated the answer that i wrote, I think the answer is 18
Solve for x.
x - 6 = 8
x = [?]
x=14
Step-by-step explanation:
the answer is 14
I just added 8 with 6
:)
onsider the transformation.
Which statement about the transformation is true?
O It is isometric because the side lengths remained the
same,
• It is isometric because all
angle measures remained
the same.
It is not isometric because the side
lengths did not
remain the same.
O It is not Isometric because the
not remain the same.
angle measures did
Mark this and return
Save and Exit
The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
What is isometric transformation?An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.
The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.
Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
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Combine terms: 12a + 26b -4b – 16a.
Answer:
The answer is -4a + 22b
Step-by-step explanation:
12a + 26b -4b -16a
12a - 16a + 26b - 4b
-4a + 22b
Thus, The answer is -4a + 22b
-TheUnknownScientist
Step-by-step explanation:
[tex] \mathfrak{SOLUTION} _{(By\:Mister360)} \begin{cases} \\ \rm \mapsto \: 12a + 26b - 4b - 16a \\ \\ \rm \mapsto \: 12a - 16a + 26b - 4b \\ \\ \rm \mapsto \: (12 - 16)a + (26 - 4)b \\ \\ \rm \mapsto \: - 4a + 22b \\ \\ \rm \mapsto \: - (4a - 22b) \end{cases}[/tex]
summarize how you can find the slope of a parallel line.
Summary of slope of parallel lines:
Parallel lines have equal slopes. The parallel lines are equally inclined with regard to the positive x-axis, and this is taken into account when calculating a line's slope.
If one line has a slope of m1, another line has a slope of m2, and both lines are parallel, then we get m1 = m2.
The coefficients for "x" and "y" in the equations that depict parallel lines are identical.
Ax + by + c2 = 0 is the line that is parallel to ax + by + c1 = 0. Observation reveals that the x and y coefficients in both equations are equivalent.
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A hexagon forms a semi-regular tessellation with which of the following
regular polygons?
A. Square and equilateral triangle
B. Dodecagon and equilateral triangle
C. Trapezoid and pentagon
D. Trapezoid and octagon
Answer:
A.
Step-by-step explanation:
Find the missing length indicated
Helppppppppppppppp!!!!!
Hi there!
[tex]\large\boxed{\text{ UVY} = 65^o, \text{ VYZ }= 65^o}[/tex]
We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
Two brothers are allowed to spend a maximum of 5.90 money as pocket money.the elder brother spent 2.97 money. How much was left for the younger brother?
A bakery sells cupcakes and cookies. No more than 750 total items
can be produced a day. Production costs cannot exceed $1200 per day. It costs
$0.50 to make a cupcake and $0.25 to make a cookie. Given that you have the
constraints0.5x +0.25y < 1200 and 2 + y < 750, how would you
write an additional constraint to represent that the bakery can produce at most 85
cookies?
Answer:
The question doesn't make since so random guess
If you multiply $0.50 by 750 you get 375
If you multiply $0.25 by 750 you get 187.5
divide that by 85 and you get 2.2.
Step-by-step explanation:
Determine whether the scenario involves independent or dependent events.
A basket contains seven apples and six peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
Pls help me out here
All of the equations that are true include the following:
B. 56 + 70 = 14(4 + 5).
C. 28 + 49 = 7(4 + 7).
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
How to determine the true equation?In order to determine the true equation, we would apply the distributive property of multiplication and then check whether or not the right-hand side is equal to the left-hand side.
By applying the distributive property of multiplication to the given mathematical expression, we have the following:
32 + 96 = 8(4 + 14)
32 + 96 = 32 + 112 (False).
56 + 70 = 14(4 + 5).
56 + 70 = 56 + 70 (True).
28 + 49 = 7(4 + 7).
28 + 49 = 28 + 49 (True).
27 + 36 = 3(9 + 13)
27 + 36 = 27 + 39 (False).
25 + 35 = 5(5 + 6)
25 + 35 = 25 + 30 (False).
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2 7/8 + 2 7/8 Answer pls
Answer:
5 + 3/4
Step-by-step explanation:
Answer:
23/4
Decimal Form:
5.75
Mixed Number Form:
5 3/4
Step-by-step explanation:
there ya goo
Help plz:)))I’ll mark u Brainliest
Answer:
h = 9
Step-by-step explanation:
cylinder A = [tex]\pi[/tex][tex]3^{2}[/tex]*4 = 113.0973355 [tex]m^{3}[/tex]
Cylinder B = 113.0973355 [tex]m^{3}[/tex]
113.0973355 [tex]m^{3}[/tex] = [tex]\pi[/tex][tex]2^{2}[/tex]*h
113.0973355 [tex]m^{3}[/tex] / 4[tex]\pi[/tex] = h
8.999999999998 = h
I think b/c of the rounding error of rounding off pi, that h= 9
pls help djehhxhxhxhxhxjjdndnd
Area of both the triangles :
= ½ × base × prepenicular
= ½ × 3 × 4
= 3 × 2
= 6 × 2 = 12 ( We have two triangles)
Area of semicircle :
= πr²/2
= 3.14 × 3 × 3 /2
= 28.26/2
= 14.13
Total area = 12 + 14.13 = 26.13 = 26.130
Bea T. Howen, a sophomore college student, lost her scholarship after receiving a D in her "Music Appreciation" course. She decided to buy a snow plow to supplement her income during the winter months. It cost her $6312.50. Fuel and standard maintenance will cost her an additional $8.75 for each hour of use. Find the cost function C(x) associated with operating the snow plow for x hours. C(x)= If she charges $34.00 per hour write the revenue function R(x) for the amount of revenue gained from x hours of use. R(x)= Find the profit function P(x) for the amount of profit gained from x hours of use. P(x)= How many hours will she need to work to break even? hours
Answer:
[tex](a)\ C(x) = 6312.50 + 8.75x[/tex]
[tex](b)\ R(x) = 34x[/tex]
[tex](c)\ P(x) = 6312.50 -25.25x[/tex]
[tex](d)\ Break\ Even = 250\ hours[/tex]
Step-by-step explanation:
Solving (a): The cost function.
Given
[tex]Cost = \$6312.50[/tex] --- cost of saxophone
[tex]Additional = \$8.75[/tex] per hour
The cost function is: sum of the cost of the saxophone and the extra cost per hour.
If an hour costs 8.75, then x hours will cost 8.75x
So, the cost function is:
[tex]C(x) = Cost + Additional[/tex]
[tex]C(x) = 6312.50 + 8.75x[/tex]
Solving (b): The revenue function
Given
[tex]Charges = \$34.00[/tex] per hour
The revenue function is the product of the unit charge by the number of hours.
If in an hour, she charges $34.00, then in x hours, she will cost 34x
So, the revenue function is:
[tex]R(x) = Charges * Hours[/tex]
[tex]R(x) = 34.00 * x[/tex]
[tex]R(x) = 34x[/tex]
Solving (c): The profit function
This is the difference between the cost function and the revenue function
i.e.
[tex]P(x) = C(x) - R(x)[/tex]
So, we have:
[tex]P(x) = 6312.50 + 8.75x - 34x[/tex]
[tex]P(x) = 6312.50 -25.25x[/tex]
Solving (d): The break even hours.
To do this, we simply equate the cost function and the revenue function, then solve for x
i.e.
[tex]C(x) =R(x)[/tex]
[tex]6312.50 + 8.75x = 34x[/tex]
Collect like terms
[tex]6312.50 =- 8.75x + 34x[/tex]
[tex]6312.50 = 25.25x[/tex]
Solve for x
[tex]x = \frac{6312.50}{25.25}[/tex]
[tex]x = 250[/tex]
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
6a. 0.02623
b. 0.5692
Thank you :)
PLEASE HELP!!
For the right triangles below, find the values of the side lengths c and b.
Round your answers to the nearest tenth.
Answer:
[tex]c = 3 \tan(60 \degree) \\ c = 5.2 \\ hypotenuse \: of \: first \: triangle : \\ = \frac{ 5.2 }{ \sin(60 \degree) } \\ = 6 \\ \\ \frac{6}{4} = \frac{c}{b} \\ \frac{6}{4} = \frac{5.2}{b} \\ b = \frac{5.2 \times 4}{6} \\ b = 3.5[/tex]
HELPPPPP! Points scored in a basketball game vary directly with shots taken. If a player scores 50 points , and takes 40 shots , how many would she score if she takes 60 shots? Round your answer down to the nearest points scored
Answer:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved
by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
4x = 50 × 60
Divide from both sides
x = 50 × 1.25 = 75
Answer is 75
Step-by-step explanation:
Here is a easier explanation if you didn't understand clearly:
It asked for how many 60 shots would score.
You would look at the first time he scored which is 50 and took 40 shots. Divide them
50 ÷ 40 = 1.25 or 1.5
So now you know each point scores 1.25 or 1.5
Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.
60 × 1.25 or 60 × 1.5
& They both end up equaling just the same, 75.
Hope it made sense :)