Answer: 4 players can play and still have 8 cards each.
39÷8=4.875
Answer:
4 people
Step-by-step explanation:
39 cards / 8 cards = 4.87500
each person must have 8 cards, so only 4 people can play
Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?
segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMNEbony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?
segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMN
Answer:
NM=FG
Step-by-step explanation:
Answer:
Segment EG and segment OM
Step-by-step explanation:
Comparing the lengths of segment EG and segment OM satisfies the side-side correspondence required for AAS congruence.
May someone help with this?
Help please! (If you could explain too that would be great, no need to tho.)
8) What is their rate of
change (speed) in Section
D (Hours 7-
10)? Remember to
include units
Remember rate of
change = slope = rise/run
Answer:-2/1
Step-by-step explanation:
rise is -2 and 1 is run
Determine whether each logarithm is a common logarithm.
b. (log 64)
The logarithm function ( log 64 ) is not a common logarithm function as it does not have a base 10 but ahs a base e.
In mathematics, the common logarithm is the logarithm with base 10.
It is also known as the decadic logarithm and as the decimal logarithm function.
Here, we have the logarithm function as:
( log 64 )
Now, we can see that:
It does not have a base.
So, we will take the base as e.
So, it will not be a common logarithm function as having base 10 is an important characteristic of a common logarithm function.
Therefore, we get that, the logarithm function ( log 64 ) is not a common logarithm function as it does not have a base 10.
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Find the perimeter of the figure below, in centimeters.
1537x242 multiply by multi digit
Use the Change of Base Formula to evaluate each expression.
log₃33
Using the change of base formula the evaluated value of [tex]log_{3} 33[/tex] is 3.184
Change of base formula is used to change the base of logarithm. It is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm.
According to the change of base formula :
[tex]log_{a} b = \frac{log_{x} b}{log_{x} a}[/tex]
where base x is base 10
According to the question, we have to find the value of [tex]log_{3} 33[/tex]
Thus applying change of base formula we get
[tex]log_{3} 33 = \frac{log_{10} 33}{log_{10} 3}[/tex]
calculating the value of log from the calculator we get,
[tex]log_{3} 33 = \frac{1.519}{0.477}\\log_{3} 33 = 3.184[/tex]
Thus using the change of base formula the evaluated value of [tex]log_{3} 33[/tex] is 3.184
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Complete the identities.
1+cot²θ=
Answer:
[tex]\csc ^2(\theta)[/tex]
Step-by-step explanation:
Using Pythagorean identity,
[tex]\mathrm{1+\cot ^2(x)=\csc ^2(x)}\\\mathrm{=\csc ^2(\theta)}[/tex]
Answer:
1 + cot² θ = sec² θ
Step-by-step explanation:
1 + cot²θ =
I know this identity to be true:
sin² θ + cos² θ = 1
Divide both sides by sin² θ.
sin² θ / sin² θ + cos² θ / sin² θ = 1 / sin² θ
1 + cot² θ = sec² θ
What is the base if the portion is $4,560 and the rate is 65%? Solve for the base (in $). Round to hundredths when necessary.
The base of the $4,560 which is 65% of the base is $7,015.38.
What is percentage?This represented by the symbol %, is the division of any number by 100. The expression 25%, for example, means that 25 parts of a whole were divided into 100 parts.
The portion of 65% means that the amount given as $4,560 is only a part of the whole amount known as base, which is unknown as the base, in other words, the base amount can be determined the portion divided by the percentage of the portion:
65%=$4560
1%=$4560/65
1%=$70.1538461538462
100%=$70.1538461538462*100
100%=$ 7,015.38
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Find the coordinate of point X such that the ratio of MX to XJ is 1:1
The coordinates of the midpoint are:
x = (A + C) / 2
y = (B + D) / 2
Where (A, B) and (C, D) are the coordinates of the points M and J.
What is the midpoint of a line?The midpoint is the middle point of a line segment and it is equidistant from both endpoints.
We have,
M_______X_______J
MX : XJ = 1 : 1
The formula for finding the coordinates of the midpoint is:
x = (a + c ) / 2
y = ( b + d ) / 2
(x, y) = coordinates of the midpoint.
Where (a, b) and (c, d) are the coordinates of the two endpoints.
We can consider,
M = (A, B)
J = (C, D)
X = (x, y)
Thus the coordinates of the midpoint X are:
x = (A + C) / 2
y = (B + D) / 2
Where (A, B) and (C, D) are the coordinates of the points M and J.
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1/6y+3/8x=24 rate of change
The constant average rates of change of 1/6y + 3/8x = 24 is -9/4
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the constant average rates of change?The linear equation is given as
1/6y + 3/8x = 24
Multiply through the equation 1/6y+3/8x=24 by 24 to eliminate the fraction
So, we have
24 * 1/6y + 24 * 3/8x = 24 * 24
Evaluate the product
So, we have
4y + 9x = 576
Rewrite the equation as
So, we have
4y = - 9x + 576
Divide through the equation by 4
So, we have
y = - 9/4x + 144
A linear equation is represented as
y = mx + c
Where
m = rate of change
So, we have
m = -9/4
Hence, the constant average rates of change of 1/6y + 3/8x = 24 is -9/4
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Find an equation for the perpendicular bisector of the line segment whose endpoints
are (7,5) and (-1,9).
Check the picture below.
keeping in mind that perpendicular lines have negative reciprocal slopes, and that we also know that the line is a perpendicular bisector, namely it cuts that segment into two equal halves as you can see in the picture, so it really passes through the midpoint of that segment, so let's get the slope of that green segment
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{7}}} \implies \cfrac{4}{-8}\implies -\cfrac{1}{2}[/tex]
so for the perpendicular bisector that'd be
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-1}\implies 2}}[/tex]
now let's check for the midpoint of the green segment
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -1 +7}{2}~~~ ,~~~ \cfrac{ 9 +5}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 14 }{2} \right)\implies (3~~,~~7)[/tex]
so we're really looking for the equation of a line whose slope is 2 and that it passes through (3 , 7)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-7=2x-6\implies {\LARGE \begin{array}{llll} y=2x+1 \end{array}}[/tex]
find the distance between B and H
The distance between the points B and H on the coordinate plane is 4.48 units
What is the distance between the points B and H?See below for the complete question
The coordinates of the points B and H are given as:
(-2.63, 7) and (1.85,7)
Rewrite properly as
B = (-2.63, 7)
H = (1.85,7)
The distance between any two points on a coordinate plane is calculated using the following distance formula
d = √(x2 - x1)^2 + (y2 -y1)^2
Substitute the known values in the above distance equation
So, we have
d = √(-2.63 - 1.85)^2 + (7 - 7)^2
Evaluate the exponents
So, we have
d = √20.0704 + 0
Evaluate the sum
So, we have
d = √20.0704
Evaluate the exponent
So, we have
d = 4.48
Hence, the distance between the points B and H on the coordinate plane is 4.48 units
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Possible question
Find the distance between B (-2.63, 7) and H (1.85,7)
Question
What value of x makes the equation x+5=2x true?
Answer:
5
Step-by-step explanation:
5+5=2(5)
10=10
Every weekend, Sue bikes to the park to play disc golf with her friends. Before leaving home, she fills her water bottle to the top. This weekend, Sue drinks of a liter on the way to the 1 2 park. Now there is only of a liter remaining in Sue's water bottle. 4 Use an equation to find the amount of water that Sue's water bottle holds. To write a fraction, use a slash (/) to separate the numerator and denominator. liters
The equation is [tex]\frac{1}{2}x + \frac{1}{2}x[/tex]
Let the amounts of water that Sue's water bottle holds = x
According to the question,
given that,
Sue's water bottle holds the water = [tex]\frac{1}{2}x + \frac{1}{2}x[/tex] = [tex]\frac{2}{2}x[/tex] = x
Thus, assumption is true
Hence, the equation is [tex]\frac{1}{2}x + \frac{1}{2}x[/tex]
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
Different Types of Equations:
Some of the math equations used in algebra are:
Linear Equation
A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Quadratic Equation
This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.
Example:
[tex]a x^{2}[/tex] + b x + c = 0
Cubic Equation
This is a third-order equation. In cubic equations, at least one of the variables should be raised to exponent 3.
Example:
[tex]a x^{3}[/tex] + [tex]b x^{2}[/tex]+ cx + d = 0
[tex]a^{3}[/tex] – 27 = 0
Rational Equation
A rational equation is an equation that contains fractions with a variable in the numerator, denominator, or both.
Example:
[tex]\frac{x}{2}[/tex] = [tex]\frac{x + c}{4}[/tex]
How to prove an equation
One way to prove that an equation is true is to start with one side (say, the left-hand side) and to convert it, by a sequence of equality-preserving transformations, into the other side. But remember that a proof must be easy to check, so each step deserves a justification. We keep the steps elementary, based on known facts of algebra. Also, a proof should always start with a statement of the claim that is being proved.
.
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What statement is true about the sum of two rational numbers
Answer: The sum is always a rational number.
Step-by-step explanation:
Step-by-step explanation:
Given, sum of two rational numbers is always a rational number
We have to determine if the given statement is true or false
Consider two rational numbers 2/3 and 4/5
Sum of two numbers = 2/3 + 4/5
= [2(5) + 4(3)]/3(5)
= (10 + 12)/15
= 22/15
22/15 is a rational number.
Consider two rational numbers 2/3 and 1/3
Here, the denominators are same
Sum of two numbers = 2/3 + 1/3
= (2 + 1)/3
= 3/3
= 1/1
1/1 is also a rational number
Therefore, the given statement is true.
1. 20 pens cost 300 and 50 pens cost 750
a. is the cost of pens directly proportional to the number of pens
b. calculate the cost of buying 80 pens
ii.) calculate the number of pens if the cost is 1335
Solve the inequality and describe the graph of the solution. 3x+27>=-5
The solution to the inequality is x ≥ -10 2/3. On the graph, the solution to the inequality is to the right of the line
From the question, we are to solve the given inequality
The given inequality is
3x + 27 ≥ -5
Solving the inequality
3x + 27 ≥ -5
Subtract 27 from both sides of the inequality
3x + 27 -27 ≥ -5 - 27
3x ≥ -32
Divide both sides of the inequality by 3
3x/3 ≥ -32/3
x ≥ -10 2/3
The graph of the inequality is shown below
Hence, the solution to the inequality is x ≥ -10 2/3. On the graph, the solution to the inequality is to the right of the line
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Two men shared the cost of a business in the ratio 2:3. if the smaller share is 75000, find the total cost of the business?
The total cost of business is 1,87,500
We are given the ratio of shares of two men. So, let the share of first person be 2x and share of second person be 3x.
It is also stated that smaller share is 75000. Out of the two shares, 2x is the smaller one. So, relating the two statements -
2x = 75000
x = 75000 ÷ 2
Performing division
x = 37500
So, finding the larger share now -
Larger share = 3x
Larger share = 3×37500
Performing multiplication
Larger share = 112500
Total cost of business = Smaller share + Larger share
Total cost of business = 75000 + 112500
Total cost of business = 1,87,500
Hence, the total cost of business is 1,87,500.
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WILL GIVE U BRAINLIEST NEED HELP PLEASE
CAN SOMEONE HELP I DONT UNDERSTAND (CRYS)
Answer:
1) [tex]m[/tex]∠JKL = 145°
2) [tex]m[/tex]∠IHG = 164°
3) [tex]m[/tex]∠NME = 50°
4) [tex]m[/tex]∠TUV = 178°
I hope this helps! (✿◠‿◠)
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 10 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
The value of y when we make y the subject of the formula in 5x - 5y = 40 will be B. y = -3x - 8
How to illustrate the information?It should be noted that an equation is simply used to show the relationship that exists between the variables that are given.
In this situation, the equation given s
is illustrated as:
-15x - 5y = 40
Divide through by -5
-3x - y = 8
Then make y the subject of the formula
y = -3x - 8
Therefore, value of y when we make y the subject of the formula in 5x - 5y = 40 will be y = -3x - 8.
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MP Persevere with Problems Explain how
you can write 25 % as a decimal.
25% in the decimal number system is 0.25.
What are decimal numbers?The base-10 number system, arguably the most widely used number system, is referred to as decimal. The ten single-digit numbers in the decimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following nine is 10. 19 is followed by 20, and so on.Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, we need to divide the number by 100 and we want to convert a number in percentage into decimals.
Then,
25/100 = 0.25Therefore, 25% in decimals is 0.25.
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If a serving size of
corn is ½ cup and
contains 45 calories,
how many calories in
3.5 servings?
Answer:
78.75 or 78 3/4
Step-by-step explanation:
Find the ratio of 5 hours to 25 minutes.
Answer:
1:12
Step-by-step explanation:
You have to convert both value to the same measurement, so you gonna find how many minutes is in 5 hours which is (300 minutes) then you put 25/300 then cancel out
b) Estimate the value of √97.5 + 1.96
The correct answer is 11.834.
Decimal Fraction Math refers to the mathematical expression of a fraction or mixed number where the denominator is a power of 10, such as 10, 100, or 1000, etc. Mathematical operations can be performed on fractions more easily when they are expressed in decimal form.
From 0 to 9, single-digit numerals are read exactly as they are written. However, when two numerals are involved, the left digit implies 10 times what the right digit indicates. In the number 24, that is, 4 is 4 and 2 is 20. Together, they make 24.
The rightmost digit of a three-digit number has the same meaning as the middle one, which is ten times the digit, and the leftmost digit, which is 100 times the digit.
√97.5 + 1.96
= 9.874 + 1.96
= 9874/1000 + 1960/1000
= 11834/1000
= 11.834
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Round 12,345.6789 to the nearest hundred
Answer:
12,300
Step-by-step explanation:
To round to the nearest hundred look at the tens place and if the number is a 5 or above add 1 to the hundreds place, in this case though the number is below 5 so you drop all the numbers behind it and nothing happens to the hundreds place
12,(3)46.6789
this is the hundreds place
12,3[4]6.6789
go to the tenths place and since the number is a 4 you drop it and the other numbers behind it.
Giving you the answer 12,300
is this number rational or irrational
Answer: rational
explain
Create a division problem, we’re both the divisor in division are decimals. Call Sean must be a whole number greater than one.
The divisions problem are:
3234 ÷ 19.611945 ÷ 0.054068 ÷ 0.37424 ÷ 0.824629 ÷ 0.1117.9056 ÷ 1.9What are decimals?A decimal is a number that consists of a whole and a fractional part.
Given:
we have the condition as divisor in division are decimals
So, we know in division we have main two parts: Dividend and Divisor.
we have to take the divisor as decimals.
So let us take the example
4068 / 0.03
So, for solving it we can proceed as
4068 * 100 /3
= 1356 * 100
=135600
Similarly, there many like
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What is the best description of the relationship in the scatterplot below?
A) Positive linear association
B) Negative linear association
C) Nonlinear association
D) No association
I NEED HELP!!! MARKING BRAINLIEST LATER
Answer:
what is the question?
Step-by-step explanation:
There is no picture or question
Answer: Question
Step-by-step explanation: