Answer:
A) $4 for each $1 bet
Step-by-step explanation:
For example, 3:2 would be $3 for each $2 bet.
It's A!
help with math problem.
Answer:
Number of logs:
1. 48
2. 14
3. 90
4. 48
5. 100
Total: 300
Step-by-step explanation:
Just multiply the height with the number of trees then divide by 6. This is in theory if the length of all the trees were conjoined, as there would most likely just be less, then 300. This is because the remainder would be that of the multiplied trees height instead of getting the remainder of wood from each tree. So in case you want to try doing that option, simply divide the height first in feet by 8, then multiply that by the number of trees to give you an accurate answer of logs.
Answer:
see attached
total: 300 logs
Step-by-step explanation:
When calculations are repetitive, it is convenient to let a spreadsheet do them.
Here, the number of logs per tree is found by dividing the tree height by 8 feet. The number of logs from trees that height will be found by multiplying the number of trees by the number of logs that height will give.
The total number of logs is the sum of the numbers from all the tree heights.
__
The total number of logs is 300. (The rightmost column of the attached spreadsheet matches the rightmost column of your table.)
2 Richard and Jason each begin filling pools at the same time.
• Richard fills his pool at a rate of 6 gallons per minute.
• Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per
minute.
The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
What are gallons?
A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.
It is given in the question that:-
Richard fills his pool at a rate of 6 gallons per minute.
Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.
After 20 minutes the amount of liquid in the tank will be:-
For Richard = 6 gallons per minute. x 20 minutes= 120 gallons
For Jason= 2 gallons per minute x 20 =40 gallons
Jason has 200 gallons already in the tank
So it will become = 200+24=240 gallons.
Hence quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
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Rewrite the following expression using the properties of loy
log2 z + 2 log2 x+ 4 log9 y + 12 log9 x - 2 log2 y
[tex]\\ \rm\Rrightarrow log_2z+2log_2x+4log_9y+12log_9x-2log_2y[/tex]
log_a^b=blogalog_a(bc)=log_a b+log_a cSo
[tex]\\ \rm\Rrightarrow log_2z+log_2x^2-log_2y^2+log_9y^4+log_9x^{12}[/tex]
[tex]\\ \rm\Rrightarrow log_2(zx^2)-log_2y^2+log_9(y^4x^{12})[/tex]
[tex]\\ \rm\Rrightarrow log_2\left(\dfrac{zx^2}{y^2}\right)+log_9(y^4x^{12})[/tex]
Answer:
[tex]\log_2\dfrac{x^2z}{y^2}+\log_9x^{12}y^4[/tex]
Step-by-step explanation:
Log laws
[tex]\textsf{Product law}: \quad \log_axy=\log_ax + \log_ay[/tex]
[tex]\textsf{Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]
[tex]\textsf{Power law}: \quad \log_ax^n=n\log_ax[/tex]
Given expression:
[tex]\log_2z+2\log_2x+4\log_9y+12\log_9x-2\log_2y[/tex]
Group terms with same log base:
[tex]\implies \log_2z+2\log_2x-2\log_2y+4\log_9y+12\log_9x[/tex]
Apply the power law:
[tex]\implies \log_2z+\log_2x^2-\log_2y^2+\log_9y^4+\log_9x^{12}[/tex]
Apply the product law:
[tex]\implies \log_2x^2z-\log_2y^2+\log_9x^{12}y^4[/tex]
Apply the quotient law:
[tex]\implies \log_2\dfrac{x^2z}{y^2}+\log_9x^{12}y^4[/tex]
A board is 6 1/2 feet long. You cut off a 1 3/4-foot piece and a 2 2/3 foot piece. How much of the original board is left?
Step-by-step explanation:
The feet long that the board is
[tex] = 6 \frac{1}{2} \\ [/tex]
The piece of board cut off
[tex] = 1 \frac{3}{4} + 2 \frac{2}{3} \\ [/tex]
[tex] = \frac{1 \times 4 + 3}{4} + \frac{2 \times 3 + 2}{3} \\ [/tex]
[tex] = \frac{7}{4} + \frac{8}{3} \\ [/tex]
[tex] = \frac{7}{4} \times \frac{3}{3} + \frac{8}{3} \times \frac{4}{4} \\ [/tex]
[tex] = \frac{21}{12} + \frac{32}{12} \\ [/tex]
[tex] = \frac{53}{12} \\ [/tex]
The original board left
[tex] = 6 \frac{1}{2} - \frac{53}{12} \\ [/tex]
[tex] = \frac{13}{2} - \frac{53}{12} \\ [/tex]
[tex]= \frac{13}{2} \times \frac{6}{6} - \frac{53}{12} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{78 - 53}{12} \\ [/tex]
[tex] = \frac{25}{12} \\ [/tex]
[tex] = 2 \frac{1}{12} \\ [/tex]
hope it helped !!!
A wiring job requires 5,127 feet of cable. If the cable comes in 250-foot coils, how many coils of cable are required?
Answer:
20.58 (21)
Step-by-step explanation:
5127/250 = 20.58
if the coils are only be imported in full form your gonna need 21
Answer:
21 cables
Step-by-step explanation:
Because the cables come in 250-foot coils, you cannot have a piece of one cable. So, if you take the total amount of cable you need (5,127 feet) and divide it by how long a single cable is (250 feet).
5,127 divided by 250 is 20.508, but you cannot have a piece of one cable. So, you round up to the nearest whole number, 21.
A quadratic function has zeros −3 and 5 and contains the point (4, 14).
a) Find the equation of the quadratic function in standard form.
b) Complete the square to determine the vertex of the function.
c) Find the equation of a second quadratic function in the same family as the function in part that contains the point (1, −48).
The quadratic function which has zeros −3 and 5 and contains the point (4, 14) is 2x²+4x+30 and the vertex points are (-1,28).
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
ax²+bx+c=0
Here,(a,b, c) is the real numbers and (x) is the variable.
A quadratic function has zeros −3 and 5 and contains the point (4, 14). The factored form of quadratic equation is,
f(x)=a(x-z₁)(x-z₂)
Here, z₁ and z₂ are the zeros. Thus,
f(x)=a(x-z₁)(x-z₂)
f(x)=a(x-(-3))(x-5)
f(x)=a(x+3)(x-5)
This equation contains the point (4,14). Thus,
14=a(4+3)(4-5)
14=a(7)(-1)
a=14/-7
a=-2
Put the value in above equation and solve it further:
f(x)=-2(x+3)(x-5)
f(x)=-2(x²-5x+3x-15)
f(x)=-2x²-4x-30
Change the sign,
f(x)=2x²+4x+30
The equation of the quadratic function in standard form is,
f(x)=2(x+1)²+28
Thus, the vertex point are -1 and 28. Similarly, the section equation which contains the point (1, −48) can be solved.
Hence, the quadratic function which has zeros −3 and 5 and contains the point (4, 14) is 2x²+4x+30 and the vertex points are (-1,28).
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1. A rectangle has a length of 5cm and a height of 4cm.
a. Find the area of the rectangle
b. Find the perimeter of the rectangle.
c. A scale factor of .5 is used to reduce the rectangle. What is the new area?
d. A scaled factor of 2 is used to increase the triangle. What is the new area?
Answer:
a
20cm squared
b
18cm
c
5cm
d
80cm
Step-by-step explanation:
a
Area is height multiplied by length in a regular quadrilateral
b
Perimeter is calculated by adding all the sides together
c
0.5 is effectively halving, so instead of 4 multiplied by 5 it is 2 multiplied by 2.5
d
2 is effectively doubling, so instead of 4 multiplied by 5 it is 8 multiplied by 10
Answer:
20 cm²18 cm5 cm²80 cm²Step-by-step explanation:
Q1(a)
Area = length x heightArea = 5 x 4Area = 20 cm²Q1(b)
Perimeter = 2(length + height)Perimeter = 2(5 + 4) = 2(9)Perimeter = 18 cmQ1(c)
New dimensions are : 5/2 = 2.5 and 4/2 = 2New Area = 2.5 x 2New Area = 5 cm²Q1(d)
New dimensions are : 2 x 5 = 10 and 2 x 4 = 8New Area = 10 x 8New Area = 80 cm²A jar contains 100 marbles. There are 7 blue marbles, 4 green marbles,
46 red marbles, and 43 yellow
marbles. What is the probability of
randomly selecting a yellow marble?
Enter the correct answer.
Answer:
43%
Step-by-step explanation:
If there are 43 yellow marbles out of 100 total, the fraction that will be used is 43/100. The percentage is found by dividing the numerator (top) by the denominator (bottom). The percentage is the first two numbers in the decimal. For future reference, if a decimal were to have more than 2 or 3 digits, the number would be rounded to the 4th and the decimal point would be placed between the 2nd and 3rd digits.
Yesenia eats 3 cookies. Maria eats 4 cookies. Jocelynn eats twice as many cookies as Yesenia. What is the ratio of the number of cookies Jocelynn eats to the number of cookies Yesenia eats?
A:4 to 3
B:2 to 3
C:2 to 1
D:3 to 4
Answer:
C: 2 to 1.
Step-by-step explanation:
Jocelyn eats 3*2 = 6 cookies.
So required ratio = 6:3
= 2:1.
Which is the graph of the linear inequality 2x – 3y < 12?
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
What are the characteristics of the graph of the inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
Characteristics of the graph of the inequality-
Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.The linear inequality given in the problem is,
[tex]2x - 3y < 12[/tex]
The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.
Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
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whats the perimeter of the figure square with 3 semi circles? rounded to the nearest 100th
Answer:
3.1415
×=18
×=(2)
2 If you need something else?
a pet store has 2 gray rabbits. one eight of the rabbits at the pet store are gray. how many rabbits does the pet store have?
2 = 1/8
2 x 8 = 16
16 = 8/8
2 gray rabbits is 1/8 of 16. The store has 16 rabbits.
because if 2 rabbits are gray. and is those two = 1 eighth. then two rabbits would equal 1 out of eight. so whats two x eight? 16. it just seems like the logical answer.
help again, im in class lol
Answer:
56.55
Step-by-step explanation:
a=3.14*r^2/2
r=6
3.14*6^2/2
3.14*36/2
113.04/2
56.55
Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction
First would be subtraction ( do inside parentheses first)
2ndwould be multiplication
3rd would be division
4th would be addition
7 x 6 / (13-10) + 4
7 x 6 / 3 + 4
42 / 3 + 4
14 + 4 = 18
How many times wood a wood chuck chuck if a wood chuck could chuck wood.
Answer: about 700 pounds
According to the Poetry Foundation, a woodchuck would chuck As much wood as a woodchuck could chuck, If a woodchuck could chuck wood Researchers at Cornell determined that a woodchuck could chuck about 700 pounds.
1, 8, 5, 4, 1, 8, 5, 4 mean media mode
Answer:
see below
Step-by-step explanation:
mean: 4.5
median: 1,1,4,4,5,5,8,8
mode: 4.5
Find the slope of a line with equation 4y + x = 8.
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
write a growth/decay function to model the situation A car was purchased in 2000 for $22,500. It has depreciated at a rate of 5% per year. What was the value of the car in 2011
If the price of the car is $22,500 in 2000. Then the value of the car in 2011 with a decay of 5% every year is $12,798.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A car was purchased in 2000 for $22,500.
It has depreciated at a rate of 5% per year.
Then the price of the car in 2011 will be
The decay function is modeled as
[tex]\rm A = P(1-r)^t[/tex]
The number of years has been passed is 11.
Then we have
[tex]\rm A = 22,500(1-0.05)^{11}\\\\A = \$ \ 12798[/tex]
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Un círculo con circunferencia igual a 20 tiene un arco con ángulo central igual a 72°.
¿Cuánto mide la longitud del arco?
Answer:
4
Step-by-step explanation:
[tex]\frac{20}{360}=\frac{x}{72}\\x = 4[/tex]
can you please help me I give you extra points
Answer:
( -2 , 0 ) , (1 , 0 ) , (-2 , 3 )
I'm pretty sure on this!
Juan is arranging three flavors of ice cream in his cooler: chocolate, cookie dough, and mint. If chosen at random, what is the probability that Juan will place mint in the middle?
help i will give brainliest
Answer:
if there's only one ice cream flavor the chances are 100%, if there are two ice cream flavors the chance will be the half of the first one which will make it 50%. if there are three it'll be the ⅓ of the first one which will make it 33.3%. So the probability that Juan will place the mint flavor will be 33.3% (I don't know I just say it.)
Find the slope pls help giving brainlest
Answer:
(3,-9)
Step-by-step explanation:
Please give brainliest please and good luck :)
The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. The table shows the data.
Game 13, 14 15, 16, 17, 18
Attendance 348, 435, 552, 609, 696, 783
State the type of function that best fits the given data. Justify your choice of a function type.
The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given data:
Game(x): 13 14 15 16 17 18
Attendance(y): 348 435 552 609 696 783
If plot these points on a coordinate plane, we will see these points will align in a straight line.
We know we can find a line equation with two points:
(13, 348) and (14, 435)
[tex]\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)[/tex]
y - 435 =87(x-14)
y = 87x - 783
Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
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please help! will give brainliest!
what is 12 is 15 % of what?
Answer:
15% of eighty is equal to twelve
So I’m stuck on these 3 problems can anyone help me? If you can pls simplify the problems are: 20/26 ÷ 5 =? 28/56 ÷ 2 =? 75/90 ÷ 3 =?
Answer:
2/13 or 0.15 , 1/4 and 5 /18 or 0.28
Step-by-step explanation:
20/26 ÷ 5 =?
10/13 ÷ 5 = 2/13 or 0.15
28/56 ÷ 2 =?
1/2 ÷ 2 = 1/4
75/90 ÷ 3 =?
5/6 ÷ 3 =5 /18 or 0.28
a new tile floor in school cafeteria has been installed within a checkerboard alternating of black and white only. there is a total of 25 tiles including 22 White tiles what is the ratio of black tiles to White tiles
The ratio of the black tiles to White tiles in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.
What is a ratio of two numbers?The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
A new tile floor in the school cafeteria has been installed within a checkerboard alternating of black and white only.
There is a total of 25 tiles including 22 White tiles. Here,
Total number of white tiles is 22.The total number of tiles is 25.Thus, the total number of white tiles is,
[tex]25-22=3[/tex]
Thus, there is total 3 white tiles. The ratio of black tiles to White tiles is,
[tex]r=\dfrac{3}{22}\\[/tex]
Thus, the ratio of the black tiles to White tiles in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.
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What type of answers to open questions require?
A. A written response
B. A long speech in response
C. Encourage more detail answers
D. Short answers
Answer:
a. written response
Step-by-step explanation:
an open question uses what the reader gathers :)
pls help me with this math problem
Answer:
Step-by-step explanation:
3,2
the lines meet at 2 y, and 3 x
X goes first, and y goes second
During the first four weeks of her life a baby girl increases her mass from 3.2kg to 4.7th what percentage increase does this represent give your answer to 3 so. F
Answer:
46.875%
Step-by-step explanation:
increase mass = 4.7 - 3.2 = 1.5kg
percentage increase = 1.5/3.2 = 46.875%
