The expression obtained after solving the given expression is,\(\rm \frac{(15x+3)}{y}\)
What is a BODMAS rule?For the Bracket, Order, Division, Multiplication, Addition, and Subtraction rules, BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.
Given expression ;
9(5x + 1) ÷ 3y
Follow the BODMAS rule;
Step 1; Divide
\(\rm \frac{9(5x+1)}{3y} \\\\ \frac{3(5x+1)}{y} \\\\\)
Step 2; Multiply
\(\rm \frac{9(5x+1)}{3y} \\\\ \frac{(15x+3)}{y} \\\\\)
Hence the expression obtained after solving the given expression is,\(\rm \frac{(15x+3)}{y}\)
To learn more about the BODMAS rule, refer to https://brainly.com/question/23827397.
#SPJ1
2. Calculate the mean of the following
sample:
20, 15, 22, 13, 14, 18, 19, 11, 23, 17
Answer choices:
16.8
17.2
17.6
Answer:
what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.
Step-by-step explanation:
formula: addition of all values divided by the number of values given.
total number of values given = 10 ( count each number as one )
so ..
20+15+22+13+14+18+19+11+23+17 = 172
divided by 10
= 17.2 ( decimal)
or 17 whole number 1/5 ( mixed fraction )
or 86/5 ( improper fraction ).
Hope this helps.
Good luck .
whoever good at math pls help me
Answer:
hope this help you look it once
Consider this expression.
-4x^2 + 2x − 5 (1+x)
What expression is equivalent to the given expression?
__x^2 + ___ x +___
The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x² - 3x − 5
What expression is equivalent to the given expression?From the question, we have the following parameters that can be used in our computation:
-4x² + 2x − 5 (1+x)
Open the brackets
So, we have
-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x
Collect the like tsrms
So, we have
-4x² + 2x − 5 (1+x) = -4x² + 2x - 5x − 5
Evaluate the like terms
This gives
-4x² + 2x − 5 (1+x) = -4x² - 3x − 5
Hence, the expression that is equivalent to the given expression is -4x² - 3x − 5
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
In a company, 55% of the workers are men . If 1800 people work for the company who aren't men , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
4000 people id.k any other method
Step-by-step explanation:
55% = men
100-55=45
45% = 1800 (not men)
divide both by 45
1% = 40
times both by 55
55% = 2200 men
2200 + 1800 = 4000
The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?
The number of Jim's model car is 48
How to determine the number of JIm's carFrom the question, we have the following parameters that can be used in our computation:
Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6
This means that
Jim : Terrence = 8 : 6
Also from the question, we have
Terrence owns 36 models cars
This means that
Terrence = 36
Substitute the known values in the above equation, so, we have the following representation
Jim : 36 = 8 : 6
Multiply by 6
Jim : 36 = 48 : 36
So, we have
Jim = 48
Hence, the number of car is 48
Read more about ratio at
https://brainly.com/question/1781657
#SPJ1
you roll two 6-sided number cubes
where is the question I dont see it
what is the correct solution of
4 - 2x = -2
+4 +4
2x = 2
2 2
x = 6
2.
Petra deposited $3,000 into a savings account. If Petra's interest rate was 5%, how much interest
would she earn after 3 years? (7.13E)
A $150
B $450
C $1000
D $4500
Answer:
$450 please give brainliest
Step-by-step explanation:
3,000 + her interest rate would make the money 150 per year so after 3 years it would be 450.
Due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. Will the rock hit the water in 2 seconds?
Explain
If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?
How to find seconds the rock will hit the rock?Given data:
Object falls = 16t² feet in t seconds
Rock from a bridge = 75 feet above the water
So,
72 =16t²
t² = 72/16
t²= 4.5
t = √4.5
t = 2.12 seconds to hit the water
Therefore we can conclude that the rock will hit the water in 2 seconds.
Learn more about seconds the rock will hit the rock here:https://brainly.com/question/28163822
#SPJ1
I need the A B C, it’s due tonight plz help
Answer:
a = -2, b = -5, c = 1
I hope this helps
The function h(x) is a transformation of the square root parent function,
f(t) = t. What function is H(x)?
Answer:
A. \(h(x)=\sqrt{x-3}\)
Step-by-step explanation:
Step 1: DefinitionThe parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).
If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).
Step 2: ImplementationHere the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
\(h(x)=\sqrt{x-3}\)
Complete this sentence: In a triangle, the angle with the greatest measure is
always opposite the
A. second-longest side
B. angle with the smallest measure
C. shortest side
D. longest side
ok so the obtuse angle is always across from the acute angle so the answer is b
In a triangle, the angle with the greatest measure is always opposite the longest side. Option D is correct.
Incomplete statement to be completed that In a triangle, the angle with the greatest measure is always opposite the _____.
The triangle is a geometric shape that comprises 3 sides and sum of interior angle should not greater than 180°.
Here, In a triangle angle opposite the largest side is the greatest angle among the other two angles.
Thus, In a triangle, the angle with the greatest measure is always opposite the longest side.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ5
Multiply.
2 5/8⋅(−4 3/4) Multiply.
−12 15/32
−8 15/32
−7 3/8
−2 1/8
Step-by-step explanation:
Multiply:
2(5/8) × -4(3/4)
⇛(80/8) × (-48/4)
⇛20 × (-6)
⇛-120. Ans.
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
(X to the second power y to the fifth power)5
Answer:
\((x^2y^5)5 = 5x^2y^5\)
Step-by-step explanation:
Remove the parentheses to factor.
\(= x^2y^5 \times 5\)
Flip the expression, creating a leading term and simplifying the equation.
\(= 5x^2y^5\)
Divide $70 in the ratio 1:2:4
Answer:
Here Ratio=1:2:4
total money =$70
Step-by-step explanation:
let the ratio number be 1x,2x and4x
Now,
1x+2x+4x =$70
or, 7x. =$70
or, x. =$70÷7=$10
again,
1x=1×$10=$10,
2x=2×$10=$20 and
4x=4×$10=$40
What kind of angle is this/Solve for X
Based on the given parameters, the value of x such that the lines are parallel is 8
What are parallel lines?Parallel lines are lines that extend indefinitely and do not meet
How to determine the value of x?The given parameter is the lines in the figure
From the figure, we have the following angles:
50 and x + 58
The angles are vertical angles
Vertical angles are congruent
So, we have
x + 50 = 58
Collect the like terms
x = 58 - 8
Evaluate the like terms
x = 8
Hence, the value of x such that the lines are parallel is 8
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
Let the random variable X be a random number with the uniform density curve in the figure below. Find the following probabilities. O P(X 2 0.35) O P(X = 0.35) O P(0.35 < X < 1.25) O P(0.10 < X < 0.20 or 0.6 < X < 0.9) O X is not in the interval 0.5 to 0.6.
A continuous random variable is one that has a range of possible values. In other words, if a random variable adopts a value that fits within a specific range, it is said to be continuous.
Measurements like height, weight, and time are all represented by continuous random variables. A continuous random variable is represented as the area under a density curve. The concept of a continuous random variable, as well as its mean, variance, types, and related examples
P(X < 0.35) = 0.35
P(X = 0.35) = 0 since X is a continuous random variable and the probability of a specific value is 0.
P(0.35 < X < 1.25) = 1.25 - 0.35 = 0.9
P(0.10 < X < 0.20 or 0.6 < X < 0.9) = (0.20 - 0.10) + (0.9 - 0.6) = 0.3
P(X < 0.5 or X > 0.6) = (0.5 - 0) + (1 - 0.6) = 0.9
To know more about random variables refer to:
brainly.com/question/17238189
#SPJ4
Square ABCD has a side length of 10 centimeters. Find the area of the square. Type a numerical answer in the space provided. Do not include units or spaces in your answer.
Answer:
100
Step-by-step explanation:
Multiply two of the side lengths
10×10 = 100
Dan earns £273 over the course of a five-day week. How much is that per day?
Answer:
The answer is 54.6
Step-by-step explanation:
If dan earn 273 in five days then just divide the 5days and the money he earn in five days
Answer:
Its easy!
Just divide the number of money he earns a week ( £273) by how many days in that week he works (5)
273/5= 54.6
Dan earns £54.6 a day!
Step-by-step explanation:
Hope that helps! If you need anymore help just ask! :3
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
For such more questions on simplified form
https://brainly.com/question/28323654
#SPJ8
[6, 12, 16]
The dimension of the above matrix is 1 X 3
True
False
Answer:
Step-by-step explanation:
1. Find a basis for the row space, column space, and null space of the matrix given
below:
A =
3 4 0 7
1 −5 2 −2
−1 4 0 3
1 −1 2 2
Solution. reef(A) =
1 0 0 1
0 1 0 1
0 0 1 1
. Thus a basis for the row space of A is
{[1, 0, 0, 1], [0, 1, 0, 1], [0, 0, 1, 1]}. Since the first, second, and third columns of
rref(A) contain a pivot, a basis for the column space of A is {
3
1
−1
1
,
4
−5
4
−1
,
0
2
0
2
}.
If we solve Ax = 0, we find that x4 is a free variable, so we set x4 = r. We
obtain
x1
x2
x3
x4
= r
−1
−1
−1
1
, so {
−1
−1
−1
1
} is a basis for the nullspace of A.
2. What is the maximum number of linearly independent vectors that can be found
in the nullspace of
A =
1 2 0 3 1
2 4 −1 5 4
3 6 −1 8 5
4 8 −1 12 8
Solution. rref(A) has three columns with pivots and two columns without
pivots. Thus the dimension of the nullspace of A is 2, so at most 2 linearly
independent vectors can be found in the nullspace of A.
3. Let T : R3 → R3 be the linear transformation defined by
T([x1, x2, x3]) = [2x1 + 3x2, x3, 4x1 − 2x2].
Find the standard matrix representation of T. Is T invertible? If so, find a
formula for T
−1
.
Mathematics Department 1
Answer:
tthe dimension of the above matrix is 1 x 3 is true
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, a type of bun, a side order, and a type of fruit drink. Here are the possibilities for each choice. Choice Possibilities Size: junior, Small, Medium, Large Type of bun Plain bun, Sesame seed bun Side order Fries, Onion rings Fruit drink Orange, Grape, Cherry, Lemonade How many Kids' Lunches are possible?
The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.
What is combination in Math?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.
Hence,
The number of possible "Sizes" from the specified 4 sizes are ⁴C₁
The number of sorts of bun that is possible from the specified two bun types is: ²C₁
From the four sides, the number of possible side purchases is: ⁴C₁
Of the available four drinks, the number of the possible drinks is: ⁴C₁
Now the possible number of all lunches are:
⁴C₁ x ²C₁ x ⁴C₁ x ⁴C₁
= 4 x 2 x 4 x 4
= 128
Hence the number of Kid's Lunches that are possible are 128.
Learn more about combination:
https://brainly.com/question/20211959
#SPJ1
7 1/4 × 2²+(8 1/2-2)÷3
giving brainliest
Answer:
187/6
Step-by-step explanation:
Simplify the following:
(7 + 1/4) 2^2 + (8 + 1/2 - 2)/3
2^2 = 4:
(7 + 1/4) 4 + (8 + 1/2 - 2)/3
Put 7 + 1/4 over the common denominator 4. 7 + 1/4 = (4×7)/4 + 1/4:
(4×7)/4 + 1/4 4 + (8 + 1/2 - 2)/3
4×7 = 28:
(28/4 + 1/4) 4 + (8 + 1/2 - 2)/3
28/4 + 1/4 = (28 + 1)/4:
(28 + 1)/4×4 + (8 + 1/2 - 2)/3
28 + 1 = 29:
29/4×4 + (8 + 1/2 - 2)/3
29/4×4 = (29×4)/4:
(29×4)/4 + (8 + 1/2 - 2)/3
(29×4)/4 = 4/4×29 = 29:
29 + (8 + 1/2 - 2)/3
Put 8 + 1/2 - 2 over the common denominator 2. 8 + 1/2 - 2 = (2×8)/2 + 1/2 + (2 (-2))/2:
29 + ((2×8)/2 + 1/2 + (2 (-2))/2)/3
2×8 = 16:
29 + (16/2 + 1/2 + (2 (-2))/2)/3
2 (-2) = -4:
29 + (16/2 + 1/2 + (-4)/2)/3
16/2 + 1/2 - 4/2 = (16 + 1 - 4)/2:
29 + ((16 + 1 - 4)/2)/3
16 + 1 = 17:
29 + ((17 - 4)/2)/3
| 1 | 7
- | | 4
| 1 | 3:
29 + (13/2)/3
13/2×1/3 = 13/(2×3):
29 + 13/(2×3)
2×3 = 6:
29 + 13/6
Put 29 + 13/6 over the common denominator 6. 29 + 13/6 = (6×29)/6 + 13/6:
(6×29)/6 + 13/6
6×29 = 174:
174/6 + 13/6
174/6 + 13/6 = (174 + 13)/6:
(174 + 13)/6
| 1 | 7 | 4
+ | | 1 | 3
| 1 | 8 | 7:
Answer: 187/6
Answer:
31 1/6
Step-by-step explanation:
7 1/4 × 2²+(8 1/2-2)÷3
Using PEMDAS
Parentheses first
7 1/4 × 2²+(6 1/2)÷3
Then exponents
7 1/4 × 4+(6 1/2)÷3
Changing the mixed numbers to improper fractions
7 1/4 = (4*7+1)/4 = 29/4 and ( 2*6+1)/3 = 13/2
29/4 × 4+(13/2)÷3
Multiply and divide from left to right
29 + 13/2÷3
Using copy dot flip
29 + 13/2 * 1/3
29 + 13/6
Changing back to a mixed number
13/6 = 12/6 + 1/6 = 2 1/6
29 + 2 1/6
Add
31 1/6
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Step-by-step explanation:
Whats the value of 5/12 / 1 7/8? Please answer fast!
Answer:
i believe its 0.22222222222 im sorry if its incorrect qwq
Step-by-step explanation:
I NEED HELP PLEASE IM STRUGGLING!!?!?!?
You can use the DESMOS GRAPHING CALCULATOR to find the answers right away
Step-by-step explanation:
y2-y1/x2-x1
slope=rise/run
formula=y=mx+b
That's all you need to know to solve the questions
Find two numbers . A and B , that have the product of 64and the sum of 16
Answer:
8 and 8
Step-by-step explanation:
8+8 = 16
8*8=64
Complete the square to solve the equation below
MExact Form:
x
=
±
√
39
+
5
Decimal Form:
x
=
11.24499799
…
,
−
1.24499799
…
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
Answer:
0.12
Step-by-step explanation:
Given the frequencies of occurrence in the diagram, you want to know the probability of A and B.
ProbabilityThe probability of an event is the ratio of the number of times it occurs to the total number of trials.
The diagram shows the event (A and B) occurs 6 times out of a total of 6+6+20+20 = 52 trials.
P(A and B) = 6/52
P(A and B) ≈ 0.12
<95141404393>