Answer:
30
Step-by-step explanation:
6(2) + 10(3) - 2(2)(3)
12 + 30 - 2(6)
42 - 12
30
The value of the expression 6y + 10z - 2yz when y = 2 and z = 3 is 30.
What is the value of the expression when y=2 and z=3?Given the expression in the question:
6y + 10z - 2yz
y = 2
z = 3
To determine the value of the expression 6y + 10z - 2yz, we simply substitute y = 2 and z = 3 into the expression and then simplify.
6y + 10z - 2yz
Plug in y = 2:
6( 2 ) + 10z - 2(2)z
Plug in z = 3:
6( 2 ) + 10( 3 ) - 2(2)(3)
Simplifying, we get:
12 + 30 - 12
Add 12 and 30:
42 - 12
Subtract 12 from 42:
30
Therefore, the value of the expression is 30.
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A triangle has two sides of lengths 4 and 7. What value could the length of the third side be? Check all that apply
A.7
B.17
C.11
D.5
E.9
F.3
Answer: E
Step-by-step explanation:
4 x 4 = 16
7 x 7 = 49
16 + 49 = 65
8.062 is the square root of 65.
Round 8.062 I guess you could round it to 9 but I believe the actual answer should be 8.
PLEASE HELP ME ASAP!!!!!
What is the first step in making a frequency chart?
A) Doesn't matter
B) Write down numbers
C) Draw a box
D) Figure out what you are comparing
PLEASE HELP ME ASAP!!!!
Which of these is NOT a good use for a frequency chart?
A) Finding out how many pieces of pizza everyone ate
B) Finding out a percentage of a whole
C) Asking people where they went on vacation
D) All of these are good uses of a frequency chart.
Answer:
All are good ideas for a frequency chart.
But not 100% sure on A and C
Could someone please solve and explain this to me?
2ab^-2 • (b^2)^-2
(*if a number has ‘^’ before it, that means it’s an exponent).
Answer:
[tex]2ab^{(-6)}[/tex]
Step-by-step explanation:
Multiply exponents/group exponents
[tex]2ab^{(-2)} \times b^{(-4)}\\2ab^{-2 + -4}\\2ab^{-6}[/tex]
someone explain it step
The formula given in the question is Doughnuts are T=4 B+ 10C.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The given question is Doughnuts are sold in bags and cartoons.
It contains 4 bags of Doughnuts and cartoon hold 10 Doughnuts.
According to given question we have
Let the total Doughnuts be T.
Let the bags of Doughnuts be B
Let the carton of Doughnuts be C.
1 bags of Doughnuts = B
4 bags of Doughnuts =4 B
1 carton of Doughnuts = C.
10 carton of Doughnuts = 10C.
To write the formula we gave,
T=4 B+ 10C.
Therefore, the formula given in the question is Doughnuts are T=4 B+ 10C.
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Jeremy has volleyball practice every third day in soccer practice every 5th day today he had both practices and how many days will he have both practices on the same day again
Answer:
He will have it on the 15th day
If x= 5 and y = 2 work out the value of 2x2
The value of the expression 2x^2 where x = 5 and y = 2 is 8
How to work out the value of the expression 2x^2?The expression is given as
2x^2
From the question, we have the values of the x and y to be
x = 5 and y = 2
Substitute x = 5 and y = 2 in the expression 2x^2
So, we have
2x^2 = 2 x 2^2
Evaluate the exponent
So, we have
2x^2 = 2 x 4
Evaluate the product
So, we have
2x^2 = 8
Hence, the value of the expression 2x^2 where x = 5 and y = 2 is 8
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HELP ASAP!!! WILL MARK BRAINLIEST!!!
Line j: y = 2/3x + 1/2
Line k: y = 1/2x + 2/3
Line l: y = 2/3x + 3/2
Line m: y = 3/2x + 1/2
These four lines have been graphed on the same coordinate grid. Which lines are parallel to each other?
A. k & m
B. k & l
C. j & l
D. j & m
Answer:
line J and line L are parallel so C.
The parallel line are j and l.
Hence the correct answer is c.
Given are four lines that have been graphed on the same coordinate grid.
We need to check which of these are parallel to each other.
To determine which lines are parallel to each other, we need to compare their slopes. Parallel lines have the same slope.
The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Let's identify the slopes of the given lines:
Line j: y = (2/3)x + 1/2
Slope of j: 2/3
Line k: y = (1/2)x + 2/3
Slope of k: 1/2
Line l: y = (2/3)x + 3/2
Slope of l: 2/3
Line m: y = (3/2)x + 1/2
Slope of m: 3/2
Now, let's see which lines have the same slope:
A. k & m - The slopes are different (1/2 and 3/2). These lines are not parallel.
B. k & l - The slopes are different (1/2 and 2/3). These lines are not parallel.
C. j & l - The slopes are the same (2/3). These lines are parallel.
D. j & m - The slopes are different (2/3 and 3/2). These lines are not parallel.
So, the correct answer is:
C. j & l
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The larger of two numbers is three times the smaller. If ten is subtracted from the larger number then the result is eight more than the smaller number. What are the numbers?
The numbers are 8 and 24.
How to calculate the value?Let the smaller number be x.
Larger number = 3x
Therefore, the expression will be:
3x - 10 = x + 8
Collect like terms
3x - x = 8 + 10
2x = 18
Divide
x = 18/2
x = 9
The bigger number will be:
3x = 3 × 8 = 24
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A square ABCD (shown below) is rotated 90° clockwise of the origin match the corresponding coordinates after rotation
The square is rotated 90° clockwise about the origin to new points A'(2, 2), B'(4, 2), C'(4, 4) and D'(2, 4)
What is transformation?Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.
Rotation is the flipping of a figure about a fixed point.
Square ABCD have vertices at A(-2, 2), B(-2, 4), C(-4, 4) and D(-4, 2). The square is rotated 90° clockwise about the origin to new points A'(2, 2), B'(4, 2), C'(4, 4) and D'(2, 4)
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20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment. Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash and a credit card. Using this information, answer the following questions. 1. What is P(A), the probability that a customer has enough cash? 2. What is A(B), the probability that a customer has a credit card? 3. What is P(A and B), the probability that a customer has enough cash and a credit card? 4. What is P(A or B), the probability that a customer has enough cash or a credit card?
P(A) = 4 / 20, this is the probability that a customer has enough cash
P (B) =16 / 20, this is the probability that a customer has a credit card.
P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.
The probability that a customer has enough cash or a credit card is 0.85.
Probability is defined as the ratio of favorable outcomes to a total number of outcomes.
It is given that, 20 customers are eating dinner at a local restaurant.
The total number of customers = 20
Of the 20 customers,
4 have enough cash to pay for their meal
16 have a credit card and
3 have enough cash and a credit card.
Event A is the probability that a customer has enough cash
Event B is the probability that a customer has a credit card.
P(A) = 4 / 20 = 1 / 5, this is the probability that a customer has enough cash
P (B) =16 / 20 = 4 / 5, this is the probability that a customer has a credit card.
P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.
To find the probability that a customer has enough cash or a credit card :
The formula used is P(A or B) = P(A) + P(B) - P(A∪B)
P (A or B) = P(A) + P(B) - P (A and B)
= 4 / 20 + 16 /20 - 3 / 20
= 17 / 20
= 0.85
Therefore, The probability that a customer has enough cash or a credit card is 0.85.
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?(21)+?(4)=300 what is the answer
[tex]21x + 4y = 300[/tex]
We have infinitely many numbers that make this equation hold. For example:
[tex](x,y)=(69,-287.25) \\ (x,y)=(1,69.75) \\ (x,y)=(7,38.25)[/tex]
This could go on forever, so your question does not have a right answer.
Solve 5x-12-6x=-10x+7-1 (please fill out each step)
Step 1. Collect like terms
Step 2.Move variables to one side of the equation (addition/subtraction property of equalities)
Step 3. Move constant to the other side of equation (Addition/subtraction property of equalities)
Step 4.(multiplication/division property of equalities)
The solution to given equation 5x - 12 - 6x = -10x + 7 - 1 is x = 2.
In this question,
we have been given an equation 5x - 12 - 6x = -10x + 7 - 1
We need to solve above equation using given steps.
5x - 12 - 6x = -10x + 7 - 1 .................(Given equation)
Step 1. Collect like terms
⇒ (5x - 6x) - 12 = -10x + (7 - 1)
⇒ -x - 12 = -10x + 6
Step 2.Move variables to one side of the equation (addition/subtraction property of equalities)
⇒ -x + 10x -12 = 6
Step 3. Move constant to the other side of equation (Addition/subtraction property of equalities)
⇒ 9x = 6 + 12
⇒ 9x = 18
Step 4.(multiplication/division property of equalities)
⇒ x = 18 ÷ 9
⇒ x = 2
Therefore, the solution to given equation 5x - 12 - 6x = -10x + 7 - 1 is x = 2.
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Hello Please Help for Brainlist +20 points its a geometry Question !!! (Math)
20 degrees is your angle
If you can't help me with that answer then can you help me with this one please?
Answer:
73° & 107°
Step-by-step explanation:
1. Those angles are supplementary, so they add up to 180 degrees.
2. (8x - 20) + (8x + 8) = 180
3. You need to add both 8x's together to make 16x. Do the same with -20 & 8. That makes -18. This is binomial addition.
4. 16x - 18 = 180
5. Add 18 to both sides
6. 16x = 198
7. Divide both sides by 16
8. x = 12.375
9. Plug in your x for both angles.
What is the solution set for the open sentence with the given replacement set?
13 x 7, {4, 5, 6, 7}
1.4
2.5
3.6
4.7
The solution set for the open sentence with the given replacement set is; 6
What is the solution set of the given equation?
We are given the equation as;
13 - x = 7
To solve this , let us use subtraction property of equality to subtract 13 from both sides to get;
13 - 13 - x = 7 - 13
-x = -6
Use division property of equality to divide both sides by -1 to get;
x = 6
Now, the set of possible solutions is {4, 5, 6, 7}. Thus, our solution falls within the set.
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given that x is a number that is not negative, kelvin conjectured that x2>x 1. which value is a counterexample to kelvin's conjecture? −12 negative one half −2 negative 2 0 0 5
0 is a counterexample to Kelvin's conjecture.
Firstly rewriting the expression -
x²>x + 1
Now, we will use hit and trial method to find the counterexample to Kelvin's conjecture.
We can not use first two options, because question mentions that x is not negative. So, starting our hit and trial method from 0.
We will keep the value in expression to find the result -
0²>0 + 1
0 > 1
This contradicts or opposes Kevin's statement, as 0 is not greater than 1.
Trying the second number -
5²>5 + 1
25 > 6
This is in accordance with Kevin's conjecture or conclusion, as 25 is greater than 6.
Hence, 0 is the value which is a counterexample to Kelvin's conjecture.
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The complete question is -
Given that x is a number that is not negative, Kelvin conjectured that x^2>x+1 .
Which value is a counterexample to Kelvin's conjecture?
−12
−2
0
5
Find the perimeter when 121 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
Applying the arithmetic sequence formula, the perimeter of the triangle is: 123 cm.
How to Apply the Arithmetic Sequence?An arithmetic sequence formula is given as, T(n) = a + (n - 1)d, where a is the first term; n is the nth number of terms; d is the common difference.
Applying the arithmetic sequence formula to this problem, we have the following:
n = 121
a = 3
d = 1
Substitute
T(121) = 3 + (121 - 1)1
T(121) = 3 + (120)1
T(121) = 3 + 120
T(121) = 123
Therefore, applying the arithmetic sequence formula, the perimeter of the triangle is: 123 cm.
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The following list has a mean of 24.
What would be the new mean if 17 was
added to the list?
12, 30, 19, 27, 21, 35
The mean would be 23.
GIven that
list of observations is: (12, 30, 19, 27, 21, 35)
Number of observations = 6
What is a mean?
The mean is the average or the most common value in a collection of numbers.
Mean = Sum of the numbers / Total no. of observation
Mean = (12+ 30+ 19+27+ 21+ 35)/6
Mean = 144 / 6
Mean =24
If 17 was added to the list the number of observations = 7
new obersation list = (12, 30, 19, 27, 21, 35 , 17)
Sum of the new observation = 161
mean = 161 /7
mean = 23
Hence, the mean would be 23 if 17 were added to the given list.
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(1/5) to the power of 2 X (1/5) to the power of 2
Answer: 0.0016
Step by step explanation:
Answer:
=1/5⁴ = 1/625
Step-by-step explanation:
(1/5)² (1/5)² = (1/5)⁴
= 1⁴ / 5⁴
= 1 / 625
How do you write 4/25 as a percentage?
Answer: 16% :)
Step-by-step explanation: 25x4=100, and 4x4=16. so 16/100, which equals 16%
Answer:
[tex] \sf {\large{16 \: \%}}[/tex]
Step-by-step explanation:
We know that
4/25 is the same as 4÷25
Then using
Long Division for 4 divided by 25 gives us
0.16
Converting our number to a percentage:
0.16×100
=16%
Solve for X
-1/2+6/7 x+9.7
The equation solved for x gives -0. 61
What are algebraic expression?
Algebraic expressions are expressions that comprise variables, terms, factors, constants and coefficients.
They are also made up of certain arithmetic operations such as addition, subtraction, multiplication, division, bracket, parenthesis, etc.
Given the expression;
-1/2 + 6/7 = x + 9.7
Find the lowest common multiple
-7 + 12/14 = x + 9. 7
Add the numerators
5/ 14 = x + 9. 7
Find the quotient
0. 36 = x + 0. 97
collect like terms
x = 0. 36 - 0. 97
x = -0. 61
Thus, the equation solved for x gives -0. 61
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Write an inequality that represents the situation using the variable x. then write the inequality in interval notation. an essay contest requires that entries be within 50 words of 1000 words long. inequality: ___ the interval notation is: ___
An inequality that represents the situation is 50 ≤ x ≤ 1000
And the inequality in interval notation is [50, 1000]
In this question, we have been given a situation - an essay contest requires that entries be within 50 words of 1000 words long.
We need to write an inequality that represents the situation using the variable x.
Also, we need to write the inequality in interval notation.
Let x represents the number of words.
An essay contest requires that entries be within 50 words of 1000 words long.
So, we get an inequality,
50 ≤ x ≤ 1000
and the corresponding interval notation for above inequality would be,
[50, 1000]
Therefore, an inequality that represents the situation is 50 ≤ x ≤ 1000
And the inequality in interval notation is [50, 1000]
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work out the mean for this data set: 9.1, 1, 3.7, 6.1, 9.8
Answer: 5.94
Step-by-step explanation: In order to find the mean, you first add up all the values in the data set and then divide this number by the number of values!
Hope it helps ^^
What is the greatest common factor of 24 and 4?
Answer: 2
UvU This might help might not
How can representing sentences and phrases with symbols help you determine whether to apply the Law of Detachment or the Law of Syllogism
In the Law of Syllogism , Long sentences and phrases can occasionally be perplexing and written imprecisely at first glance.
What is the purpose of a syllogism?
The most typical format for organizing premises into a strong argument is a syllogism. In a syllogism, the conclusion derives from the truth of two or more premises, which is a type of deductive reasoning.Long sentences and phrases can occasionally be perplexing and written imprecisely at first glance.
Therefore, using symbols to denote various statements is quite helpful.
because the number of various statements we have and the relationship between them will then be much more obvious.
To put it another way, it would be simpler to decide which logical law to apply to a certain issue.
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In the morning, the temperature was 15°F. During the day, the temperature decreased 39°F. Which expression can be used to find the temperature at the end of the day?
Responses
The expression to find the temperature at the end of the day is Morning temperature + (Change in temperature) and we get the temperature as -24 degree Fahrenheit.
Given,
The Morning temperature = 15°F
Change in temperature during day time = fall by 39 degree Fahrenheit
The temperature of the end of the day:
Morning temperature + (change in temperature)
Fall by 39° = decrease in temperature by 39° = - 39°
Therefore,
Substitute the values in the expression:
That is,
15°F + (-39°F)
15°F - 39°F
= - 24°F
Therefore, the expression to find the temperature at the end of the day is Morning temperature + (Change in temperature) and we get the temperature as -24 degree Fahrenheit.
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Which statement explains the relationship between terms in the table? XOSO5 10 15 20 Each term in Pattern X is of the corresponding term in Pattern Y. Each term in Pattern X is of the corresponding term in Pattern Y. Y O 15 30 45 60 Each term in Pattern X is 3 times the corresponding term in Pattern Y. Each term in Pattern X is 5 times the corresponding term in Pattern Y.
Seven-tenths of half a century is please help me
The meaning and equivalent of the word phrase; seven-tenths of half a century as given in the task content is; 35 years.
What is the meaning and equivalent the word phrase; seven-tenths of half a century as given in the task content?According to the task content, it follows that the meaning and equivalent of seven-tenths of half of a century is to be determined.
On this note, since it follows from place value that seven-tenths means; 7 × (1/10) = 7/10.
Also, since half a century means; (1/2) × 100 years = 50 years.
Ultimately, the word phrase given in the task content is equivalent to;
= (7/10) × 50 years.
= 35 years.
Ultimately, the meaning and equivalent of the word phrase; seven-tenths of half a century as given in the task content is; 35 years.
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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=√x+2
The inverse function of f(x) = √x + 2 would be f⁻¹(x) = x² - 2.
The domain of the function would be {x ∈ R, x ≥ −2}.
The range would be {y ∈ R, y ≥ 0}.
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.
Considering f(x) = y, to find the inverse function, the x and y values are switched giving the new equation of
x = √y + 2
Simplifying the above equation, we get
x - 2 = √y
x² - 2 = y
x² - 2 = y is the inverse of the function f(x)=√x+2
The domain of the function would be all x, such that x + 2 ≥ 0, or x ≥ −2.
Hence it is {x∈R, x ≥ −2}
For range, consider y =√x + 2.
Since√x+2 ≥ 0, it is obvious that y ≥ 0.
The range would be {y ∈ R, y ≥ 0}
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