Answer: See explanation
Step-by-step explanation:
Number of red marbles = 42
Number of blue marbles = 36
Total number of marbles = 42 + 36 = 78
There are 21 odd numbers between 1 - 42.
There are 18 odd numbers between 1 - 36.
(a) Probability that the marble is red will be:
P(red)= 42 / 78 = 7 / 13
(b) Probability that the marble is odd-numbered will be:
= 39 / 78 = 1/2
(c) Probability that the marble is red or odd-numbered will be:
P(red or odd) = P(red) + p(odd) - P(odd and red)
= (42/78) + (39/78) - (21/78)
= 60/78
= 10/13
(d) Probability that the marble is blue or even-numbered.
= P(blue) + P(even) - P(blue and even)
= 36/78 + 39/78 - 18/78
= 57/78
= 19/26
Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?
Answer:
Ricardo will have to pay $1776 at the end of the loan period.
I know this because if you multiply 12% to 1850 you get 222.
Now you multiply 222 to 8 which gives you an answer of 1776.
Hope this helps. :)
6th grade math i mark as brainliest
Answer:
16
Step-by-step explanation:
4*4
How many five card hands can
be dealt from a standard deck of
52 cards?
Answer:
2
Step-by-step explanation:
Write 0.651 as a fraction?
[tex]\frac{641}{1000}[/tex] If you read the decimal and the fraction, it both reads 651 thousandths. So, therefore this is the correct answer
Answer:
651/1000
Step-by-step explanation:
The decimal reads 651 thousandths so 651 would be your numerator and 1000 would be your denominator. The fraction is not reduceable.
1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO
Answer:
The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)
Let us use this rule to solve our question
∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)
∵ ΔDEF dilated by a scale factor 5
∴ k = 5
∵ The origin as the center of dilation
→ That means, multiply the coordinates of every point by 5
∴ D' = (8 × 5, 4 × 5)
∴ D' = (40, 20)
∴ E' = (2 × 5, 6 × 5)
∴ E' = (10, 30)
∴ F' = (3 × 5, 1 × 5)
∴ D' = (15, 5)
∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)
The daily attendance at a bowling alley was recorded for 15 days. The scatterplot
shows the number of lanes rented each day and the number of people who bowled
that day. Which statement is best supported by the sscatterplot?
HELP PLEASE :(
Answer:
I am gonna assume 4.
Step-by-step explanation:
As we can see the more people who rent out a lane, there are more people bowling.
The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing.
Given that daily attendance at a bowling alley was recorded for 15 days.
The scatterplot represents the number of lanes rented each day and the number of people who bowled that day.
By looking at the scatter plot graph we will have that there is a positive linear association between the number of lanes rented and the number of people who bowl.
The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.
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the length of the bos is 2 1/2m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4m^3
Answer:
h=1.3056 m
Step-by-step explanation:
L=2.5m
w=L(1 + 9/16)
w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m
v=Lwh
12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h
12.75m³=(9.765625m²)h
[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h
h=1.3056 m
Answer:
3 3/16
Step-by-step explanation:
If:
Length= 2 1/2
Width=2 1/2 divided by 1 9/16= 1 3/5
Volume=12 3/4
So then, 2 1/2 times 1 3/5=4
12 3/4 divided by 4= 3 3/16
Done!
Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^
Write the following ratio in simplest form: 2 to 4
Answer:it would be 1:2
Answer:
1 : 2
Step-by-step explanation:
2 : 4
A ratio is another way of expressing a fraction. Hence, if one divides both sides by the same number, it will be the equivalent of one reducing a fraction, and it will still be equivalent to the original value. Hence, to reduce this ratio; divide both sides by 2
1 : 2
PLEASE HELP!! WILL GIVE BRAINLIEST PLUS 30 POINTS IF CORRECT!!
The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip? (Hint: using factorization) (A) 65 (B) 64 (C) 63 (D) 66 (E) 67
Answer:
65
Step-by-step explanation:
From the given information:
Let consider p to be the total numbers of the cookies
If there are 1000 chocolate chips in the jar;
The number of chocolate chips if we remove one chocolate chips = 1000 -1
= 999
The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p
Thus, to achieve a whole number, p is required to be a factor of 999
By factorization of 999, we get:
36 > p > 12; Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27
Thus, the number of cookies in the jar "p"= 27
However, the number of chocolate chips on with the extra chocolate chip
= 999/p + 1
= 999/27 + 1
= 37 + 1
= 38
Thus, the sum of the number of cookies in the jar + the number of chocolate chips on with the extra chocolate chip
= 27 + 38
= 65
Can anybody do this for me please
Answer:
it very simple actually, just do it what its saying from any point it wont really matter youll still get it right
Step-by-step explanation:
Which table does NOT show direct variation?
Answer:
Tables 3. The one in the bottom left corner.
Step-by-step explanation:
The values of table C is not in variation.
What is variation?Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.
Given tables,
A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).
Relation for table A
y /x = -3/1 = -3
y /x = -9/3 = -3
y /x = -18/6 = -3
y /x = -36/12 = -3
relation is in variation.
Relation for table B
y /x = 3/1 = 3
y /x = 9/3 = 3
y /x = 18/6 = 3
y /x = 36/12 = 3
relation is in variation.
Relation for table C
y /x = 4/1 = 4
y /x = 6/3 = 2
y /x = 9/6 = 3/2
y /x = 15/12 = 5/3
Equation doesn't have a direct relationship between x and y.
Relation for table D
y /x = 2/1 =2
y /x = 6/3 = 2
y /x = 12/6 = 2
y /x = 24/12 = 2
relation is in variation.
Hence the table C is not in variation.
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PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
b. Does this situation represent exponential growth or decay? Explain how you know.
Answer:
a) y = 400(0.75) ^x
b) Exponential Decay
Step-by-step explanation:
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
This situation above is an exponential decay situation.
The forms is given as
y = a(1 - r) ^x
Where
y = the total amount of ibuprofen
a = initial amount of ibuprofen = 400mg
r = Decay rate = 25%
x = Time in hours
Hence, the Equation is written as
y = 400(1 - 0.25) ^x
y = 400(0.75)^x
b. Does this situation represent exponential growth or decay? Explain how you know
This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.
A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company charges $45. Write an equation to represent the total charge C for h hours of landscaping.
Answer:
C = $30 + $15h
Step-by-step explanation:
Given that:
Hourly rate = $15
One time fee = x
Amount charged for an hour of service = $45
Hence,
One time fee + $15* 1 = $45
One time fee = $45 - $15
One time fee = $30
Hence, total charge C for h hours of landscaping:
Total charge = one time fee + (hourly charge * number of hours)
C = $30 + $15h
Pls solve... will give brainliest... linear inequality
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :
[tex]3x^3+21x^2+36x=0[/tex]
Taking 3x common.
[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]
x = 3
[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]
Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
What is an area model of 15 times 11
Answer:
165
Step-by-step explanation:
you need to x it
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
Evaluate the following expression when x = 1/2 and y = -3.
-4xy
Answer:6
Step-by-step explanation:
-4xy
-4(1/2)(-3)
-4(-1.5)
6
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
Look at the corresponding pairs of numbers on the top and bottom number lines. Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons and 150 related? How are 1 gallon and 30 miles related?
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
help.............gigfjfgjfjf
Answer: B
Step-by-step explanation :}
The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.
Answer:
(100,1) (50,2) (25,4) (20,5) (10,10)
Step-by-step explanation:
Given
[tex]V = l * w * h[/tex]
[tex]h = 10cm[/tex]
[tex]V = 1000cm^3[/tex]
Required
Determine the possible values of l and w
We start by substituting 1000 for V and 10 for h in t he given formula
[tex]V = l * w * h[/tex]
[tex]1000 = l * w * 10[/tex]
Divide both sides by 10
[tex]100 = l * w[/tex]
Reorder
[tex]l * w = 100[/tex]
This implies that when the value of l and w are multiplied together, the result is always 100.
Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more
What number is 25% of 160? (worth lots of points because why not lol) help me-
Answer:
40
Step-by-step explanation:
This can be solved by changing the percentage to a decimal number, then multiplying by 160.
0.25×160=40
What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
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2/3x = 27
Solve for x
Answer:
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
81
2
Decimal Form:
x
=
40.5
Mixed Number Form:
x
=
40
1
2
Answer:
x = 81/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2/3x = 27
Step 2: Solve for x
Divide 2/3 on both sides: x = 81/2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2/3(81/2) = 27Multiply: 27 = 27Here we see that 27 does indeed equal 27.
∴ x = 81/2 is the solution to the equation.
Which of the following expression has a terminating decimal?
6556 divided by 55
9565 divided by 11
7986 divided by 18
4546 divided by 33
Answer:
1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394
Step-by-step explanation:
i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.
solve 2/3 = x/18 SOMEONE PLS HELP
Answer:
x = 12
Step-by-step explanation:
what you have to do is cross multiply::
3x = 36
and then single the x out
x = 12
Which of the following models the sequence -5, -7, -9, -11, ...?
Answer:
-13, -15, -17, -19, -21
Step-by-step explanation:
keep going but just add two :)