The correct evaluation for the expression 2⋅(36⋅3−5) under the order of operations is 206, which is not one of the provided options A: 2/3, B:3, C:6, D:18.
Explanation:The subject is Mathematics and the question belongs to the Middle School grade. The problem given is to evaluate the expression: 2⋅(36⋅3−5). Here, we will use the order of operations, also known as BIDMAS or PEMDAS, which stands for Brackets, Indices (or exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
First, we evaluate the operation in the parentheses: 36 times 3 minus 5, which simplifies to 108-5 = 103. Next, this value is multiplied by 2 according to the expression, resulting in a final answer of 2*103= 206. Hence, the correct evaluation of the expression 2⋅(36⋅3−5) is 206. The options provided in the question A: 2/3, B:3, C:6, D:18 do not match the correct answer.
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The graph of a linear function is shown which word describes the slope of the line the choices and graph is below
negative
ExplanationLet's find the slope of our line using the slope formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where
[tex]m[/tex] is the slope of the line
[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line
[tex](x_{2},y_{2})[/tex] are the coordinates of the second point
From the graph we can get the points (-2, 1) and (2, -1), so [tex]x_{1}=-2[/tex], [tex]y_{1}=1[/tex], [tex]x_{2}=2[/tex], and [tex]y_{2}=-1[/tex]. Let's replace the values in our formula to find [tex]m[/tex]:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-1-1}{2-(-2)}[/tex]
[tex]m=\frac{-2}{2+2}[/tex]
[tex]m=\frac{-2}{4}[/tex]
[tex]m=-\frac{2}{4}[/tex]
[tex]m=-\frac{1}{2}[/tex]
The slope of the graph of the linear function is [tex]-\frac{1}{2}[/tex]; since [tex]-\frac{1}{2}[/tex] is a negative number, the slope of the graph is negative.
PLEASE HELP ME !!!!!! IM DESPERATE. i'll give 20 points . PROMISE!!
At Southside Middle School, 40% of the students play an instrument. There are 305 students. How many students play an instrument? 40 students 140 students 122 students 256 students
Brittany says that to determine the distance between 180 and 34, you can just subtract 180 - 34.
Is it true in this case? Why or why not?
It is true in this case, because you are trying to find the distance between two points. That also means you are trying to find the difference between two points, and to find the difference, you subtract. That is why what Brittany says is true.
Absolute value is always positive because absolute value represent distance and distance can not be negative.
Yes it is true, To determine the distance between 180 and 34, you can just subtract 180 - 34.
Since, absolute value is represent distance between two points
and absolute value is always greater or equal to zero.
Now, To determine the distance between 180 and 34, just subtract 180 - 34.
and then take absolute value.
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Simplify the expression (7+47+3)[5×(2×3)]. Use properties to judtify eachstep.
what is the formula for finding circumference
C=2 πr which is the formula for circumference
solve the simultaneous equations
3x + 4y = 5
2x - 3y = 9
We label each equation
3x + 4y = 5 (1)
2x – 3y = 9 (2)
We now want to get rid of one of the variables (x or y). Lets get rid of x:
We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's
6x + 8y = 10 (1)*2
6x - 9y = 27 (2)*3
Now to get rid of the x's we take one of the equations from the other. It is easier to do (2)*3 -(1)*2
6x - 9y = 27 (2)*3
6x + 8y = 10 (1)*2
-17y = 17
If we devide this equation by -17 we get
y = -1
We can plug this value of y into (1) to get
3x -4 = 5
add 4 to both sides of the equation
3x = 9
Divide by 3
x = 3
Now to check put x and y into (2)
6 - (-3) = 9
As this is true, we have the solution
x = 3, y = -1
each troop of 33 girl scouts eats 11 pounds of cereal a week . if there are 90 girl scouts at a scout camp how many pounds of cereal should be purchased
Answer:
990 pounds
Step-by-step explanation:
If one troop eats 11 pounds and there are 90 troops, you only need to multiply 90 by 11.
1. Direct variation
A. Write an equation for the following statements.
B. Write an equation when y varies directly as x.
1. y=63 when x=9
2. y=121 when x=11
3. y=36 when x=4
4. y=224 when x=8
(1) y = 7x , (2) y = 11x , (3) y = 9x , (4) y = 28x
given y varies directly as x then y = kx ( k is the constant of variation )
(1) find k using the given conditions k = [tex]\frac{y}{x}[/tex] = [tex]\frac{63}{9}[/tex] = 7
equation is y = 7x
(2) k = [tex]\frac{121}{11}[/tex] = 11
equation is y = 11x
(3) k = [tex]\frac{36}{4}[/tex] = 9
equation is y = 9x
(4) k = [tex]\frac{224}{8}[/tex] = 28
equation is y = 28x
maple street is 3 times as long as pine street . how long is pine street?
maple street length 21
The length of pine street would be; 7.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We have been given that maple street is 3 times as long as pine street.
We need to find the length of pine street.
Therefore,
We have to divide 21 divided by 3 which is;
21/3 = 7
Hence, A pine street would be; 7.
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can anyone help me with 15a b c
a. The independent variable is r. The dependent variable is m.
b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.
c. I can't do it online.
True or false, to convert square meters to square yards, multiply 3 by 9.29 x 10^-2
The Answer to this is: True.
12 r - 18 = 13 r + 18
The solution of expresison is, r = - 38
We have to give that,
An expression to simplify,
12r - 18 = 13r + 18
Now, We can simplify the expression as,
12r - 18 = 13r + 18
Subtract 12r on both sides,
12r - 18 - 12r = 13r - 12r + 18
- 18 = r + 18
Subtract 18 on both sides,
- 18 - 18 = r
r = - 36
Therefore, The solution is, r = - 36
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Which ordered pair represents the solution to the system of linear equations?
(2,3)
(x,y)
x=2
y=3
This is because both lines meet at this direct point on the graph.
Answer:
Yes, the lines will intersect because the slopes are different. Also, both lines have a y-intercept of -7, so they both include the point (0, –7).
Step-by-step explanation:
2k+10 show all the steps
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓
First, rewrite 10 as 2*5
[tex]2k+2*5[/tex]
Then, factor out common term 2.
[tex]=2(k+5)[/tex]
Answer⇒⇒⇒⇒2(k+5)
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
I need help with these .help me plz
Answer:
The answer to your question would be Area = 280.13
Step-by-step explanation:
Area of the circle without the square: 380.13
Area of the square: 100
380.13 - 100 = 280.13
A family’s monthly budget is 1000.00. If only 8% is spent on transportation, how much is left for other things
$920 is left
$1,000/.08=$80
$1,000-$80=$920
simplify 20+4(3)÷(-8)
PEMDAS:
20 + [tex]4^{3}[/tex] ÷ -8
Exponent
20 + 64 ÷ -8
Divide
20 + -8
Add
20 + -8 = 12
hope this helps :)
The value of [tex]20+4^{3} /(-8)[/tex] is 12.
How to solve the equation by the PEMDAS rule?Given:
[tex]20+4^{3} /(-8)[/tex]
Simplifying the equation by the PEMDAS rule
We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
[tex]$\quad 4=2^{2}$[/tex]
[tex]$(4)^{3}=\left(2^{2}\right)^{3}=2^{6}$[/tex]
Substituting the values in the given equation,
[tex]$20+\frac{2^{6}}{-8}$$[/tex]
Dividing exponents as
[tex]$2^{6}$[/tex] divided by [tex]$2^{3}=2^{(6-3)}=2^{3}$[/tex]
[tex]$20+-8$$[/tex]
Simplify,
[tex]$20+-8$$[/tex]
Therefore, the value of [tex]20+4^{3} /(-8)[/tex] is 12.
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Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary. Mary buys 17 extra sheep and Sam sells 8 of his sheep. Sam still has more sheep than Mary. Form an inequality, in terms of n. Solve the inequality to find the least value of n. You must show all your working.
Answer:
The least value of n is, 9.
Step-by-step explanation:
Let n be the number of sheep in Integer.
Mary(M) owned the number of sheep is n i.e, M = n sheep
Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep
As per the given condition Mary buys 17 extra sheep
Now, Mary has total number of sheep, M = n +17 sheep
And Sam sells 8 of his sheep that means he has now,
[tex]S = 4n -8[/tex]
But, Sam still has more sheep than Mary i.e, [tex]4n-8 > n+17[/tex]
Solve an inequality: [tex]4n-8 > n+17[/tex]
Add 8 both sides we get;
[tex]4n-8+8>n+17+8[/tex]
Simplify:
[tex]4n>n+25[/tex]
Now, subtract n from both the side, we get;
[tex]4n -n>n+25-n[/tex]
Simplify:
[tex]3n>25[/tex] or [tex]n>\frac{25}{3}=8.33333333[/tex]
Since n is the number of sheep in integer,
then the least value of n is, 9.
How many times does 9 go into 260
9 goes into 260, 28.8 repeating times. hope this helps!
28.8 is your answer.
jack popped some popcorn, but 3 of the 150 did not pop. Determine whether or not each popcorn snack below has the same ratio of unpopped to total kernals as Jack's popcorn
Answer:
b and c
Step-by-step explanation:
Jack popped some popcorn, but 3 of the 150 did not pop.
the ratio of the jack's popcorn = [tex]\frac{3}{150}[/tex]
= [tex]\frac{1}{50}[/tex]
= 1 : 50
We will go through all the other given ratio to find whether they are same ratio of Jack's or not.
a. 2 unpopped out of 75 kernels = [tex]\frac{2}{75}[/tex]
= 2 : 75 This is not a match
b. 2 unpopped out of 200 kernels = [tex]\frac{4}{200}[/tex]
= [tex]\frac{1}{50}[/tex]
= 1 : 50 This is same
c. 1 unpopped out of 50 kernels = [tex]\frac{1}{50}[/tex]
= 1 : 50 This is also same
So b and c has the same ratio of unpopped to total kernels as Jack's popcorn.
what property does this demonstrate -1/4 = -0.25 then -0.25 = -1/4
A: Reflexive property
B: symmetric property
C: associative property
D: transitive property
Answer: B: symmetric property
Reflexive property states that for every real number x, x = x.
symmetric property states that for all real numbers x and y, if x = y then y = x.
associative property states that you can add or multiply regardless of how the numbers are grouped. =(like adding/multiplying like terms.
Transitive property states that for all real numbers x,y, and z, if x = y and y = z then x = z.
The equation -1/4 = -0.25 then -0.25 = -1/4 demonstrates the Symmetric Property of equality, which means order does not matter in an equation for it to be true.
Explanation:The equation you provided, -1/4 = -0.25 then -0.25 = -1/4, demonstrates the Symmetric Property of equality.
This property essentially says if a = b, then b = a. It shows that order does not matter in an equation; the elements can be flip-flopped, and the equality will still hold true. In your case, -1/4 = -0.25, and if you switch the order, -0.25 = -1/4, the equation still stays true. That's why we say it shows the symmetric property.
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Find the rate of change for the situation. A Chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken 68 people
Answer:
The rate of change is of 0.25 lbs / person
Step-by-step explanation:
According to my research the formula for the Rate of Change is the following
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
In this situation we can use y for lbs and x for people. Since all the information was given to us in the question we can just plug the values into the formula above and solve for the rate of change.
[tex]\frac{17lbs-9lbs}{68-36} = \frac{8lbs}{32people} = 0.25lbs/person[/tex]
So we can see that the rate of change is of 0.25 lbs / person
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
An article fills 5/8 of a magizine page. A related photo takes up 1/4 of the article. how much of the page is taken up by the photo?
the photo takes up 2/8 of the page
what is the answer
[tex] {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} [/tex]
Hey there!!
Simple equation :
mᵃ × mᵇ = m ᵃ⁺ᵇ
We have :
5⁻⁷ * 5¹² * 5⁻²
... 5⁻⁷⁺¹²⁻²
... 5¹²⁻⁹
... 5³
... 125
Hope my answer helps!!
The angles in a triangle are such that one angle is 78 degrees more than the smallest angle, while the third angle is 4 times as large as the smallest angle. Find the measures of all three angles.
Let the angles are x, y and z.
Let the smallest angle is x
one angle is 78 degrees more than the smallest angle.⇒ y = x + 78 → (1)
the third angle is 4 times as large as the smallest angle. ⇒ z = 4 x → (2)
we should know that the sum of the angles of the triangle = 180°
∴ x + y + z = 180 →(3)
substitute from (1) and (2) at (3)
∴ x + ( x +78) + (4x) = 180
∴ 6x = 180 - 78 = 102
∴ x = 102 ÷ 6 = 17°
∴ y = 17 + 78 = 95°
∴ z = 4x = 68°
So, the measures of all three angles are 17°, 95° and 68°
is anyone good with algebra I?
Yes. I take algebra 1 honors
8(x/4)>4 solve the inequality
ANSWER
[tex]x>2[/tex]
EXPLANATION
We have the inequality
[tex]8(\frac{x}{4})>4[/tex]
We can cancel directly to get;
[tex]2(\frac{x}{1})>4[/tex]
[tex]\Rightarrow 2x>4[/tex]
We now divide both sides by 2,
[tex]\Rightarrow x>\frac{4}{2}[/tex]
[tex]x>2[/tex]
See graph in attachment
Solve for x. -3x = -15 x = -5 x = 5 x = -45
-3x = -15 divide both sides by (-3)
-3x:(-3)=-15:(-3)
x = 5
Answer:
The answer is b, 5
Step-by-step explanation:
-3x = -15
(it sometimes helps to flip it, so that's what I'm going to do here to help it to make more sense)
x(-3) = -15
x(-3) devided by (-3) = -15 devided by (-3)
when you devide a negitive by a negative the answer will be positive
the absolute value of 15 devided by three is 5
your answer is a positive five, or just 5
Question1, shop A normal price £85 1/3 off and shop B normal price £80 30% off
Question2, in a sale all items are reduced by 30% on the final day the sale price are reduced by 20% work out the final day price of a sofa that was priced at £290 before the sale started
The number of girls who work at Super shopper is 2 more than 3 times the number of boys. If 30 boys work at super shopper; how many girls work there?
***Please Help Me***
The number of girls who work there are:
92
Step-by-step explanation:It is given that:
The number of girls who work at Super shopper is 2 more than 3 times the number of boys.
This means that:
If the number of boys= x
Then the number of girls= 3x+2
If 30 boys work at super shopper.
i.e. x=30
Then 3x+2=92
Hence, the number of girls who work there are: 92