Answers
Answer:
1. B
2.c
3. E
4.d
5.A
Step-by-step explanation:
Answer:
we conclude that:
5/7 - 3/7: B 2/7
1/6+3/6: C 2/3
1/2+1/4: E 3/4
1/5+1/2: D 7/10
1/6-1/8: A 1/24
Step-by-step explanation:
1)
Given the expression
[tex]\frac{5}{7}-\frac{3}{7}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]\frac{5}{7}-\frac{3}{7}=\frac{5-3}{7}[/tex]
Add the numbers: [tex]5-3=2[/tex]
[tex]=\frac{2}{7}[/tex]
2)
Given the expression
[tex]\frac{1}{6}+\frac{3}{6}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]\frac{1}{6}+\frac{3}{6}=\frac{1+3}{6}[/tex]
Add the numbers: [tex]1+3=4[/tex]
[tex]=\frac{4}{6}[/tex]
Cancel 4/6: 2/3
[tex]=\frac{2}{3}[/tex]
3)
Given the expression
[tex]\frac{1}{2}+\frac{1}{4}[/tex]
Lease common multiplier of 2, 4: 4
Adjust fractions based on LCM
[tex]\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]\frac{2}{4}+\frac{1}{4}=\frac{2+1}{4}[/tex]
Add the numbers: [tex]2+1=3[/tex]
[tex]=\frac{3}{4}[/tex]
4)
[tex]\frac{1}{5}+\frac{1}{2}[/tex]
Lease common multiplier of 5, 2: 10
Adjust fractions based on LCM
[tex]\frac{1}{5}+\frac{1}{2}=\frac{2}{10}+\frac{5}{10}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]\frac{2}{10}+\frac{5}{10}=\frac{2+5}{10}[/tex]
Add the numbers: 2+5 = 7
[tex]=\frac{7}{10}[/tex]
5)
Given the expression
[tex]\frac{1}{6}-\frac{1}{8}[/tex]
Lease common multiplier of 6, 8: 24
Adjust fractions based on LCM
[tex]\frac{1}{6}-\frac{1}{8}=\frac{4}{24}-\frac{3}{24}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]\frac{4}{24}-\frac{3}{24}=\frac{4-3}{24}[/tex]
[tex]=\frac{1}{24}[/tex]
Therefore, we conclude that:
5/7 - 3/7: B 2/7
1/6+3/6: C 2/3
1/2+1/4: E 3/4
1/5+1/2: D 7/10
1/6-1/8: A 1/24
Related Questions
what is 1.25-3.42 equal what
Answers
Answer:
-2.17
Step-by-step explanation:
Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyrone works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint: Assume that there are 4 pay periods per month.)
a.
$273.60
b.
$1,080.00
c.
$1,800.00
d.
$2,073.60
Answers
His total monthly cash inflow is $2073.6 which is the correct answer would be option (D).
What are Arithmetic operations?
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Tyrone’s hourly wage is $18
And he spends about $1,800 on his monthly expenses
Since Tyrone works 40 hours per week
So Monthly hours worked would be: 40 × 4 = 160
To determine the total wage
We have multiplied the hours worked by the wage rate
So total wage = hours worked × wage rate
Total Wage = 160 × 18 = 2880
Tyrone's net salary is 72% of his total income, as determined by the formula below:
Tyrone's net salary = 72% of the total Wage
Tyrone's net salary = 0.72× 2880
Tyrone's net salary = 2073.6
Therefore, His total monthly cash inflow is $2073.6 which is the correct answer would be an option (D).
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Select the correct answer. What are the roots of this quadratic equation? 3x^2 + 10 = 4x
A.x=-4±6i√26
B.x=-2±i√26/3
C.x=2±i√26/2
D.x=2±i√26/3
Answers
If point A is located at -8 on a number line and point B is located at 3 what is the distance between the two points?
Answers
Answer:
5
Step-by-step explanation:
you just have to subtract 3 by 8 and then you get 5
Answer:
11
Step-by-step explanation:
You are finding the space between them so we are going to make them absolute values and then add them:
|-8| + |3| = 8+3 = 11
solve for sin3theta
Answers
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
Since someone said my work to easy iam keep it cmon on some gansta
Answers
Estimate the difference of 450.012 and 57.876 to the nearest hundredth. A. 392.1 B. 392.13 C. 392.136 D. 392.14
Answers
Answer:
C
Step-by-step explanation:
Sorry if im wrong i tried my best
Answer:
450.012 - 57.876 = 392.136
392.136 rounds to 392.14,so your answer would be D
1 kilogram = 2.2 pounds
Answers
Answer:
Correct
Step-by-step explanation:
You are correct 1 Pound (lb) is equal to 0.45359237 kilogram (kg)
please help i will mark brainliest
Answers
Answer: 6 cars; 4 vans
Step-by-step explanation:
Answer:
6 cars and 4vans
Step-by-step explanation:
PLS HELP ASAP Solve the system of linear equations by substitution. show work
Answers
Answer:
(-2,8)
Step-by-step explanation:
To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.
1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.
[tex](-4x) = 3x + 14\\-7x = 14\\x = -2[/tex]
2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:
[tex]y = -4(-2) \\y = 8[/tex]
3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).
Angle x is (2n+12) and angle y is 3n+18 find the measure of angle x
Answers
Answer:
I have a solution.
Step-by-step explanation:
(2n+12) and 3n+18
=2n+12=3n+18
=2n+3n=12+18
=5n=30
=n=30÷5
=n=6
therefore,x=n=6
Factor the trinomial. Factor out the GCF first.
5h^2k^2 – 15hk^3 – 200k^4
Answers
Answer:
The factored form is: [tex]5k^2(h^2 - 3hk - 40k^2)[/tex]
Step-by-step explanation:
The factorization of the trinomial is given by the multiplication of the greatest common factor of each coefficient(numeric, h and k), put it in front, and divide each term by it.
Numeric:
GCF between 5, 15 and 200.
We keep dividing while all factors can be divided by the same number
5 - 15 - 200|5
1 - 3 - 40
No other possible division, so the numeric GCF is 5.
Coefficient h
To the 2, to the 1, and does not appear(to the 0). So the GCF is 0.
Coefficient k
2, 3 and 4. The GCF is 2.
So
[tex]5k^2(\frac{5h^2k^2}{5k^2} - \frac{15hk^3}{5k^2} - \frac{200k^4}{5k^2}) = 5k^2(h^2 - 3hk - 40k^2)[/tex]
The factored form is: [tex]5k^2(h^2 - 3hk - 40k^2)[/tex]
Question 8 (2 points)
\large x=\frac{1}{2}
is the solution to the equation:
\large 4x+12-8x=-1+2x+10.
True
False
Answers
Answer:
[tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
The statement is true.
Option A is correct.
Step-by-step explanation:
We need to determine if [tex]x=\frac{1}{2}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
Solving the equation first to find value of x
[tex]4x+12-8x=-1+2x+10[/tex]
Combining like terms:
[tex]4x-8x+12=2x+10-1\\-4x+12=2x+9[/tex]
Subtracting 2x on both sides
[tex]-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9[/tex]
Now, subtracting 12 on both sides
[tex]-6x+12-12=9-12\\-6x=-3\\[/tex]
Divide both sides by -6
[tex]\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}[/tex]
So, we get [tex]\mathbf{x=\frac{1}{2}}[/tex]
Therefore we can say that [tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
The statement is true.
Option A is correct.
You deposit $10,000 in an account earning 8% interest, compounded semi-monthly (twice a month). You plan to leave the account untouched for 25 years. How much interest will you earn over the 25 years?
Answers
Answer:
Po=10,000
10,000((1+.05/24)^600=34858.07, but $10000 must be subtracted because it was principal.
Interest is $24,858.07
Step-by-step explanation:
Mr Rumpole believes that the mean income of lawyers is now more than $65 thousand per year. Which is the correct set of hypotheses to test this belief?
Answers
Answer:
d. Hо:μ ≤ 65,000; H1:μ > 65,000
Step-by-step explanation:
Note: The multiple option to the question is attached as picture below
Null Hypothesis ----> Hо:μ ≤ 65,000
Alternate Hypothesis ----> H1:μ > 65,000
So, option D is correct.
The set of hypotheses that Mr. Rumpole can use to test the stated belief is:
D. H0:μ ≤ 65,000; H1:μ > 65,000
Recall:
We have two types of hypothesis, which are, the null hypothesis and the alternative hypothesis.
The null hypothesis states no statistical relationship or difference exist between two variables. It is denoted by the sign, H0.The alternative hypothesis states there is statistical relationship or difference that exist between two variables. It is denoted by the sign, H1.Therefore, the set of hypotheses that Mr. Rumpole can use to test the stated belief is:
D. H0:μ ≤ 65,000; H1:μ > 65,000
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the pair of figures are similar, find the missing side.
Answers
Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°
Answers
Pls mark me BRAINLIEST pls pls pls pls pls
The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
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What is the slope of the line that contains the points (-1, 2) and (4, 3)?
O A. -5
O B. -
B. -
O C. 5
OD.
PLEASE HELP ME
Answers
Answer:
1/5 = slope = y =1/5x
In the following equation f(n) = 2n + 3, what value represents the growth?
Answers
Answer:
3 represent growth it is the ans of this qn
Step-by-step explanation:
bcz 3 is increasing eqn by 3
What is the volume of the rectangular prism?
Answers
Step-by-step explanation:
The volume of a rectangular prism is the measure of the space the fills it. A rectangular prism is a 3-dimensional object with six rectangular faces. A rectangular prism is also referred to as a cuboid, rectangular hexahedron, right rectangular prism or a rectangular parallelepiped.Its formula is V=W×H×L.
Compare 0.789 to 0.774.
Use
Answers
Answer:
0.789 [tex]\geq[/tex] 0.774
Step-by-step explanation:
0.789 is greater than 0.774
at a pumpkin patch celeste bought a pumpkin that weighed 5,585 grams how many kilograms did the pumpkin weigh
Answers
Answer:
5.58
Step-by-step explanation:
Help please telll wheather each statement is true or false
Answers
Answer:
for a its false
for B its true
for C its false
for D it true
Answer:
Look Below
Step-by-step explanation:
A. True
B. False
C. False
D. False
86
Work out the size of angle x.
51
Answers
x + 51 = 180
x + 51 - 51 = 180 - 51
x = 129
the angle below 51 degrees would be complementary angles with x and so it would also have 51 degrees above x. 51 degrees and x are supplementary angles. supplementary angles are two angles that have a sum of 180.
hope that helps!!
The measure of angle x is 129 degrees.
Given that the two parallel lines making angles 51° and x°, these are consecutive angles between the parallel we need to find the measure of x,
So, we know that,
If two lines are parallel, the consecutive interior angles formed by a transversal are supplementary, meaning their measures add up to 180 degrees.
In this case, we have one angle measuring 51 degrees. Let's denote the other angle as x degrees.
Since the angles are consecutive, their measures add up to 180 degrees:
51° + x° = 180°
To find the value of x, we can solve this equation by isolating x:
x° = 180° - 51°
x° = 129°
Therefore, the measure of angle x is 129 degrees.
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On a coordinate plane, how are the locations of the points (-99) and (-99) related?
СА. reflection across the y-axis
B. locations unrelated
reflection across both axes
D.
reflection across the x-axis
Answers
Answer:
A. Reflection across the y-axis
Step-by-step explanation:
Which shortcut can be used to prove the triangles are congruent?
Answers
Answer:
Option 2: AAS is the right answer
Step-by-step explanation:
In the diagram, two triangles are given with two angle measurements and one non-included side.
It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.
AAS Postulate:
"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."
Hence,
Option 2: AAS is the right answer
14. The screen size of a television is measured along
the diagonal of the screen from one corner to
another. If a television has a length of 28 inches
and a diagonal that measures 32 inches, what is
the height of the television set to the nearest
tenth?
Answers
Answer:
15.5 inches
Step-by-step explanation:
height² = diagonal² - length²
height = √(32² - 28²) ≅ 15.5 inches
At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors, 9 juniors, 12 sophomores and 7 freshmen running, in how many ways can the student government be selected?
Answers
Answer:
32598720Step-by-step explanation:
Combination for the school government requires:
5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 564 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 1263 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 2202 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21So number of total ways is:
56*126*220*21 = 32598720-30=5(x+1) x=? Solve for X
Answers
Answer:
=-7
Step-by-step explanation:
-30=5(x+1)
-30=5x+5
-35=5x
= -7
A market sells 6 cans of food for every 7 boxes of food. The market sold a total of 26 cans and boxes today. How many
of each kind did the market sell?
6 cans and 20 boxes
12 cans and 14 boxes
14 cans and 12 boxes
20 cans and 6 boxes
