Answer:
6/4 = 1 1/2
1 2/4
12/8
Step-by-step explanation:
Three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.
The given expression is 1/4 + 5/4.
We need to find three different expressions that are equivalent to the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
First, simplify the given expression.
That is, 1/4 + 5/4=6/4
=2/3=1 1/2
Therefore, three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.
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Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
The variance is therefore; 78.8/5 = 15.76Learn more on the variance of a set of data here: https://brainly.com/question/30701163
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hey i have a question! what is......
1+(23x40973178x7819039%1882944/18289795x.46193781989+638729-792808%97927979x0882980+(66868867786788987586a+10.988000197399)76297809867565456787564534534567586x986758647536424365476587687987867586475364524564758697%9867564534523647586978097867587465+t758647536457687987867564536454758679867564534654758679867564536768767564753645768756453546576879685432345680765483725346576x.68268)0
Answer:
its pi equals 21 bruh moment squared.
Step-by-step explanation:
7. If a rectangular den has an area of 68 3/4 square yards and one side
that's 8 1/4 yards long, how long is the other side? *
Answer:
26
Step-by-step explanation:
I 8 1/4 x 2 and I got 16 and 2/4 then I subtracted that and got 52 1/4 and then i divided it and got 26 so yh I dunno.
help me please❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥ ❥
if m-n=3 and mn=10, then find the value of m²-n²
please♡♡♡♡♡♡♡♡
21
Step-by-step explanation:
m=5n=2
5-2=3
5×2=10
5²-2²=
25-4=21
hope it helps
Зу = 2х + 15
Write in slope intercept form
Answer:
Slope Intercept Form: 2/3x + 5
Finding the x and y Intercepts: (-15/2 , 0)
Answer:
\(y=\frac{2}{3} x+5\)
Step-by-step explanation:
3y=2x+15
÷ all #'s by three
\(y=\frac{2}{3}x +5\)
Water is pumped out of the conical tank with vertex down and radius 8 ft and height 20 ft. If the volume is decreasing at a rate of 4 ft^3sec :
how fast is the depth of the water decreasing when the water is 9 ft deep? (Note: Don't approximate the answer and state its exact value in terms of π.)
It took approximately 151 seconds to decrease 9 ft water in conical tank.
The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h
When the water is 9 ft deep
= (1/3) ×3.14×(8)²×(9)
= 602.88 ft³
We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:
Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec
= 602.88/4
= 150.72 sec
Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
15. Are the two triangles similar?
Yes or no? I think yes.
How do you know? I said, "The corresponding angles are congruent."
16. Are the two triangles similar?
Yes or no?
How do you know?
17. Are the two triangles similar?
Yes or no?
How do you know?
18. Are the two triangles similar?
Yes or no? I said yes
How do you know? I said, "The corresponding angles are congruent."
Are my answers to 15 and 18 correct? what are the answers to the others? Thank you
Answer:
18 is correct. I cannot read 16. The sum of the interior angles must be 180.
16) The triangles are similar because the corresponding sides are proportional \(\frac{16}{8}\) = \(\frac{12}{6}\) = \(\frac{10}{5}\)
17) The triangles are not similar because the corresponding sides are not proportional \(\frac{20}{5}\)≠ \(\frac{18}{4}\) ≠ \(\frac{16}{3}\)
Step-by-step explanation:
WILL GIVE BRAINLEIST PLEASE HELP!
The solution of the given expression 2(x - 18) + 3x = 24 is,
⇒ x = 12
The given mathematical expression is,
2(x - 18) + 3x = 24
Now expand the given equation,
⇒ 2x - 36 + 3x = 24
We can write it as,
⇒ 5x - 36 = 24
Now add 36 both sides,
⇒ 5x - 36 + 36 = 24 + 36
⇒ 5x + 0 = 60
⇒ 5x = 60
Divide both sides by 5 we get,
⇒ x = 12
The required solution is,
⇒ x = 12
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-1/2(x+5)=-10 I WONT BREATHE UNTIL U ANSWER ME!!
Step-by-step explanation:
well don't breath just collect like terms and booom
Could you give a step by step answer to this calculation?
A labellled diagram of the triangle formed is shown below
The bearing of ship C from ship B is the angle x shown in the labelled diagram.
Looking at triangle ABC, we would find BC by applying the law of cosines which is expressed as
a^2 = b^2 + c^2 - 2bcCosA
In this case, we have
BC^2 = AB^2 + AC^2 - 2 * AB * AC * CosA
BC^2 = 150^2 + 275^2 - 2 * 150 * 275 * Cos120
BC^2 = 98125 - 82500Cos120 = 98125 + 41250 = 139375
BC = square root of 139375 = 373.33
We would find angle ABC by applying the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
a = 373.33, b = 275, A = 120, B = angle ABC
Thus, we have
373.33/Sin120 = 275/SinABC
By crossmultiplying, we have
373.33 SinABC = 275Sin120
SinABC = 275Sin120/373.33 = 0.638
We would find angle ABC by finding the sine inverse of 0.638
angle ABC = Sin^-1(0.638)
angle ABC = 39.64
Angle x and angle ABC are linear pairs. This means that their sum is 180 degrees. Thus,
angle x = 180 - 39.64 = 140.36
To the nearest degree, the bearing of ship C from ship B is 140 degrees
Heather goes to ballet three
times a week for 30 minutes
each time. She tap dances
twice a week for 45 minutes
each time. How much time in
all does she dance per week?
Answer: 1,260 minutes a week
Step-by-step explanation:
Ballet: 30 minutes, 21 times a week. 21 × 30 = 630 minutes a week
Tap Dancing: 45 minutes, 14 times a week. 45 × 14 = 630 minutes a week
630 + 630 = 1,260 minutes a week
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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what is the distance of an object traveling with a speed of 10m/s in 2 seconds
Write "six times 3 minus 3" as an expression.
Answer:
6(3)-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x(−3)
Question 16 of 25
Use the zeros and the labeled point to write the quadratic function shown in
the graph
30
(1,8)
O A. y=2x2+2x– 12
O B. y=-2 - X+6
O C. y=-272 - 2x + 12
O D. y=x+x-6
SUBMIT
Answer:
x+x-6
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
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Juan sold a bicycle at a discount of 15%. If the selling price was $340, find the usual price of the bicycle.
Answer: $400
Step-by-step explanation:
Discount = 15%
The original price/value of an item is always 100%
So selling price (%) = original price - discount = 100%-15% = 85%
We got selling price as 85%
This implies that 85% = 340
Let's find 1% first, then 100%
1% = 340÷85 = 4
100% = 4 × 100 = $400
The usual (normal/original) price is $400
Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's represent the usual price of the bicycle by P.
Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).
We can express this relationship as an equation:
S = 0.85P
We also know that the selling price of the bicycle was $340.
Substituting S = $340 into the equation above, we get:
$340 = 0.85P
To find P, we can solve for it:
P = $340 / 0.85
P = $400
Therefore, the usual price of the bicycle was $400.
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He makes a total of $500 for every 3 clients he
acquires.
How much money will 21 clients bring in?
Answer:
for every 3 client there is 500 that means that they make 60,100 or every three client im pretty sure im kinda new
Step-by-step expl
In this picture, the measure of angle ois 1 radian.
A. True
B. False
Answer: the answer is true I think
Step-by-step explanation:
Pythagorean Theorem with Known Legs
\(c {}^{2} = 7 {}^{2} + 9 {}^{2} \\ c {}^{2} = 49 + 81 \\ c {}^{2} = 130 \\ c = \sqrt{130} \)
Answer 130Can anyone solve this for me? If so please type the steps!
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet
Answer:
72ft²
Step-by-step explanation:
Calculate the area of each face and then sum them.
area of base = 4 × 5 = 20 ft²
area of back = 5 × 3 = 15 ft²
area of sloping face = 5 × 5 = 25 ft²
area of 2 triangular faces = 2 × × 4 × 3 = 4 × 3 = 12 ft²
Thus
surface area = 20 + 15 + 25 + 12 = 72 ft²
I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64
12. 101c - 5c +4c = its 100c
13. 12q - 4 + 10q - 4q +9 =
14. 21k - 20k + 3k =
15. 181x + 91x - 23x =
\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)
Neveah is baking pancakes. If each pancake requires 3/4 cups of flour, how many pancakes can she make with 4 cups of flour?
Answer:
3 pancakes
Step-by-step explanation:
Answer:
3 pancakes
Step-by-step explanation:
Multiply 3/4 by 4/1 and you get 12/4 (multiple the top numbers and the bottom numbers). Simplify that down, 12 divided by 4 is 3. So, 3 whole pancakes
A person ears $16,700 one year and gets a 5% raise in salary. What is the new salary?
Answer:
$17,535
Step-by-step explanation:
Original (old) salary: $16,700/year
+ raise: 0.05($16,700/year) = $835/year
---------------------------------------------------------------------------------
New salary: Original salary plus amount of raise:
$16,700/year + $835/year = $17,535
A faster but still valid approach to finding the new salary involves multiplying the original salary by 1.05:
1.05($16,700) = $17,535. Here the '1.00' represents the original salary and the '0.05) the raise.
Can someone show me the steps to solve these subtraction problems using base five notation
Answer:
a)
\(\boxed{22}\\\\\boxed{19} - \boxed{7} = \boxed{12}\)
b)
\(\boxed{ 243}\\\\\boxed{117} - \boxed{44} = \boxed{73}\)
Step-by-step explanation:
The easiest way is to convert each base 5 number in each expression to base 10, perform the calculations and then convert from base 10 back to base 5.
a) 34₅ - 12₅
34₅ = (3 x 5¹ + 4 x 5⁰) = (3 x 5) + (4 x 1) = 15 + 4 = 19₁₀
12₅ = (1 x 5¹ + 2 x 5⁰) = (1 x 5) + (2 x 1) = 5 + 2 = 7₁₀
There are online calculators to do this job so no one really goes through this exercise by hand
Conversion from base 10 to base 5 is rather more complex process of repeatedly dividing by 5 noting the quotients and remainders of each division and working backward through the remainders
Again online calculators are available to ease your pain of doing this
Let's illustrate with a number like 123₁₀
123÷ 5 : Quotient: 24; Remainder: 3
24 ÷ 5: Quotient 4 ; Remainder: 4
4 ÷ 5 : Quotient 0 ; Remainder: 4
Since quotient is 0, we stop
Going from bottom to top the remainders are 4, 4, 3 so 443 is the equivalent in base 5
We can check
443₅ = (4 x 5² + 4 x 5¹ + 3 x 5⁰) = 100 + 20 + 3 = 123₁₀
I am simply going to use a calculator to convert from base 10 to base 5
Final result
34₅ - 12₅ = 19₁₀ - 7₁₀ = 12₁₀
12₁₀ = 22₅
Answer
34₅ - 12₅ = 22₅
19₁₀ - 7₁₀ = 12₁₀
b)
432₅ - 134₅
432₅ = (4 x 5²) + (3 x 5¹) + (2 x 5⁰)
= 4 x 25 + 3 x 15 + 2 x 1
= 117₁₀
134₅ = (1 x 5²) + (3 x 5¹) + (4 x 5⁰)
= 25 + 15 + 4
= 44₁₀
So the equivalent computation in base 10 is
117₁₀ - 44₁₀ = 73₁₀
73₁₀ = 243₅
Answer:
432₅ - 134₅ = 243₅
117₁₀ - 44₁₀ = 73₁₀
Note I have been using 5 not five for the subscript. The final answer asks you only to enter the numbers in the boxes so it does not matter
The conversions of the number bases gives;
a) 12 ten
b) 73 ten
What is the number base?We have to note that the number base is the ground work upon which we can be able to perform mathematical operations. We know that in this case, we would have to change the numbers from base five to base 10.
For the first problem, we have;
34 five = 19 ten
12 five = 7 ten
We then have;
19 - 7 = 12 ten
For the second problem;
432 five = 117 ten
134 five = 44 ten
Then;
117 - 44 = 73 ten
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Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation: