Answer:
-7/18
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
( -1/2 × 9/9) + (1/9 × 2/2) = ?
Complete the multiplication and the equation becomes:
-9/18 + 2/18 = ?
Then:
-9+2/18 = -7/18
Therefore:
-1/2 + 1/9 = -7/18
HELP ILL MARK AS BRAINliEST
Answer: it's A.12 \ 3 =4 if worrg do D.16\4=4 i hop this help's you
i did this one long time ago it was ether one so ya i forgotten it sorry
5. Look at the model and fill in each blank with the correct answer.
bigger
smaller
?
5526
3496
?
(a) The smaller number is
(b) The difference between the two numbers is
(c) The sum of the two numbers is_
The smaller number is 3496
The difference between the two numbers is 2030
The sum of the two numbers is 9022
Given no.
5526,3496
The difference between the two numbers is 5526-3496=2030
The sum of the two numbers is 5526+3496=9022
The process of combining two or more objects is known as addition. The procedure of determining the sum of two or more integers in mathematics is known as addition. It is a basic mathematical operation that we all employ on a daily basis. When we work with money, compute our shopping bills, or calculate the time, we employ addition frequently.
Addition is a mathematical procedure that is used to add numbers. The sum of the provided numbers is the outcome of adding the supplied numbers. For instance, if we add 2 and 3, (2 + 3), the result is 5. We used the addition function on two integers, 2 and 3, to produce the sum, 5.
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Help please with my math
The percentage of the actual salary that actual mortgage is is 30%.
What is the percentage of actual mortgage?Percentage is the fraction of an amount that is expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to show percentage is %.
In order to transform a number into a percentage, express it as a fraction of a total amount and multiply by 100. So, actual mortgage would be divided by actual budget, the fraction would then be multiplied by 100.
Percentage of actual salary that is actual mortgage = (actual mortgage / actual salary) x 100
(1080 / 3600) x 100 = 30%
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Why is there one decimal in 0.25x0.4
Answer:
this is since the decimal point moves
Step-by-step explanation:
forget about the decimal point for right now
025
04
-------
0
8
20
0
0
0
+
-----
100
now there are 3 numbers behind the decimal points (2,5,and 4) so put the decimal point where 3 numbers are behind it.
.100 or .1
Which fraction is equivalent to 3/7?
Answer:
6/14,9/21
Step-by-step explanation:
those two are equavalent to 3/7
Income Tax Expenses (at 25%= 4,375 and if income tax expense had been23% what would the net income have been
Based on the calculation below, the net income would have been 13,475 if income tax expense had been 23%.
How do we calculate net income?The net income when the tax rate is 23% can be calculated as follows:
Income before tax = Income tax expenses at 25% tax rate / Tax tax rate = 4,375 / 25% = 17,500
Net income at 23% tax rate = Income before tax * (100% - Tax rate of 23%)
Net income at 23% tax rate = 17,500 * (100% - 23%)
Net income at 23% tax rate = 17,500 * 77%
Net income at 23% tax rate = 13,475
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Write as a Rate.
2 teachers for every 19 students
Suppose that the width of a certain rectangle is 1 inch more than one-fourth of its length. The perimeter of the rectangle is 52 inches. Find the
length
width
The length of the rectangle is 82.4 inches and the width of the rectangle is 21.6 inches.
Let the length of the rectangle be x inches.
So, the width of the rectangle will be:
Width = 1 / 4 x + 1 inches.
Now, the perimeter = 52 inches.
Now, the formula for the perimeter is:
P = 2 (l + b)
Substituting the values in the formula, we get that:
52 = 2 ( x + 1 / 4 x + 1)
104 = 5 / 4 x + 1
103 = 5 / 4 x
x = 103 × 4 / 5
x = 82.4 inches.
Length = 82.4 inches
Width = 1 / 4 x + 1 = 21.6 inches.
Therefore, we get that, the length of the rectangle is 82.4 inches and the width of the rectangle is 21.6 inches.
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Suppose that between the ages of 22 and 40, you contribute $3000 per year to a 401(k) and your employer contributes $1500 per year on your behalf. The interest rate is 8.3% compounded annually. What is the value of the 401(k) rounded to the nearest dollar after 18 years? b) Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money to the nearest dollar, will you have in the plan when you reach 65? c) What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
The amount of money accumulated after 18 years at compound interest is $192429.71 . At 65 there will be $1412484.01 in the account.
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
The compounding interest formula when there are annual contributions is:
[tex]A=P(1 + r)^Y + c[ ((1 + r)^Y - 1) / r ][/tex]
Where P is the principal amount which is 4500,
r is 8.3% = 0.083
Y is the number of years which is 18 .
and C is the annual contributions which is equal to P
Therefore:
[tex]A=4500(1 + 0.083)^{18} + 4500[ ((1 + 0.083)^{18} - 1) / 0.083 ]\\\\A=192429.71[/tex]
Hence the amount of money in the account is $192429.71
Now the principal is $192429.71 and the rate is 0.083 , now it is a compound interest and time is 65 - 40 = 25 years.
[tex]A = P(1+0.083)^{25}[/tex]
[tex]A = 192429.71(1+0.083)^{25}\\\\A= 1412484.01[/tex]
Hence the total money accumulated is $1412484.01
c) Total money put in the account = 3000 × 18 = 54000
Difference = $1412484.01 - $ 54000 = $ 1358484.01
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-3x+2<8 and 1/2x-5<-3
The values of x in the inequalities are x< -2 and x < 4
How to determine the valuesGiven the inequalities;
-3x+2<81/2x-5<-3To determine the value of x for each, we have;
-3x + 2 < 8
collect like terms
-3x < 8 - 2
-3x < 6
Make 'x' the subject
x < 6/ -3
x< -2
1/2x - 5 < -3
Find the Lowest common multiple
x - 10 / 2 < -3
cross multiply
x - 10 < -3 × 2
x - 10 < -6
collect like terms
x < - 6 + 10
x < 4
Thus, the values of x in the inequalities are x< -2 and x < 4
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Today, Sarah counted all of the wheels of all of the cycles in the shop. She found that there were 30 wheels in all. There were the same number of bikes as there were trikes. How many bikes were there? How many trikes were there? Show how you figured it out.
Answer:
Step-by-step explanation:
Bicycles have two wheels whereas Trikes have 3 wheels. Let x be the number of bicycles2x=30[tex]\frac{2x}{2} =\frac{30}{2} \\x=15[/tex]There were 15 bicyclesLet y be the number of trikes3x=30 since there were same number of trikes as bicycles[tex]\frac{3y}{3} =\frac{30}{3} \\y=10[/tex]There were 10 Trikes!! NEED HELP ASAP !! 35 POINTS!! Which shapes are similar to shape A?
The shapes which are similar to shape A are the shape in pink color, the shape in blue color inside the square and the shape in voilet color inside the square.
From the given figure, we can find the similar shapes
From shape A to shape in pink color, the translation is rotation about the origin at 90° counterclockwise.
From shape A to shape the shape in blue color inside the square, the translation is diminishment with the scale factor 0.5 and opposite rotation about an origin 90° clockwise.
From shape A to the shape in voilet color inside the square, the translation is enlargement with the scale factor 1.5 and opposite.
What is a scale factor?Shapes in various dimensions are scaled using the scale factor. In geometry, we study a variety of two- and three-dimensional geometrical shapes. A measurement for similar figures that appear the same but have distinct scales or measures is the scale factor.
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find the 31st term 2,10,18
Answer:
242
Step-by-step explanation:
please help
please hurry
find the volume of cylinder with radius 15mm and height 63mm
Which expression has the greatest value?
O 24+ 16 ÷ 4
O (24+16) ÷ 4
O 24 ÷ 4+2
O 24 ÷ (4+2) PLS HELP
Answer:
24 +16÷4=00
(24+16)÷4=00
24÷(4+2)=42
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS = 11x-4, ST = 70
What is the value of x?
What is the length of the side RS
Answer:
c.x=9sr=95
THATS THE ANSWER PO.
The value of the variable x will be 88. Then the length of the side RS will be 84.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If two triangles are similar, then the ratio of the corresponding sides will remain constant.
Triangle BCD has the following side lengths: BC = 60, CD = 50.
Triangle RST has the following side lengths: RS = 11x-4, ST = 70.
The triangle BCD and RST are similar triangles. Then we have
RS / ST = BC / CD
11x - 4 / 70 = 60 / 50
11x - 4 = 84
11x = 88
x = 8
Then the length of the side RS will be
RS = 11x - 4
RS = 11 × 8 - 4
RS = 88 - 4
RS = 84
The value of the variable x will be 88. Then the length of the side RS will be 84.
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A retaining wall requires 36.8 cu yd of concrete. The combined amounts of cement, sand, and gavel should be 1 1/2 times the of concrete needed. What total amount of cement, sand, and gavel will be required?
Using proportions, it is found that the total amount of cement, sand, and gavel required is of 55.2 cubic yards.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The decimal equivalent to the mixed number 1 1/2 is given by:
1 + 1/2 = 1 + 0.5 = 1.5.
1.5 times 36.8 cubic yards is:
1.5 x 36.8 = 55.2.
The total amount of cement, sand, and gavel required is of 55.2 cubic yards.
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In the diagram below, m/CAD = 47°, m/CAB = 77° and
m/ADB = 105°. Find m/B.
Step
1
2
3
try
Angle
m/CAD = 47°
m/CAB = 77°
(hover here to see on figure)
m/ADB = 105°
m/
B
O
Select a Reason
105°
Reason
Given
Given
Given
C
47°
A
(
4) m∠BAD=30° (angle subtraction postulate)
5) m∠B=45° (sum of angles in a triangle)
Tom developed the following scientific question Do boys score higher on IQ than girls He gives the same IQ tests to two 12 years old boys and two 12 years old girls. After checking the IQ scores on the tests he realizes that the two girls had a much higher average score than the two boys He concluded that girls have higher IQs than boys
What is wrong with the experiment:
Not Ethical
not a random example
biased replication needed sample size too small
needs a control
did not use safety skills
more than one independent variable
Data does not make sense with problem statement
Conclusion does not make sense with the data and problem statement
Name:
Independent Variable
Dependent Variable
Constant
Control
How can you improve the experiment
1. The experiment conducted by Tom is wrong because of the following:
Not a random example (sample)Sample size is too small.2. The independent variable is the IQ test while the dependent variables are the IQ scores of the four boys and girls. The constant is the number of testers. There is no control.
3. To improve the experiment, Tom needs to increase the sample sizes of boys and girls to at least 50 boys and 50 girls to make the generalization reasonable. He should obtain the IQ scores of girls as a control to compare the IQ scores of boys.
What is an experiment?An experiment is a scientific study conducted to support or refute a hypothesis.
An experiment involves observations and actions performed to solve a problem or make a discovery.
Thus, Tom's experiment should be improved with research methodologies.
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What value of d makes the equation -4-11i+2i= 3i-(4-di) true?
Answer:
d = -12
Step-by-step explanation:
[tex]3i-4-di = -4-11i+2i\\3i-4-di = -4-9i\\3i-\left(4-di\right)-3i = -4-9i-3i\\-\left(4-di\right)=-4-12i\\\frac{- 4 - di}{-1} = -\frac{4}{-1}-\frac{12i}{-1}\\\frac{-\left(4-di\right)}{-1}\\= \frac{\left(4-di\right)}{1}\\=4-id\\=\frac{- 4 - 12i}{-1}\\=-\frac{- 4-12i}{1}\\=-( - 4)-( - 12i)\\=-\left(-4\right)-\left(-12i\right)\\= 4 + 12i\\4-(id) = 4 + 12i\\4 - id - 4 = 4 + 12i - 4\\- id=12i\\\frac{-id}{-i} = \frac{12i}{-i}\\\frac{id}{i}\\= d\\- \frac{12i}{i}\\= - 12[/tex]
How to write three hundred eight and sixty thousandths in decimal number
Answer: 308.0006
Step-by-step explanation:
Hay 12 estudiantes en una clase que se presentan en el concierto de la escuela. Esto representa el 40% de la clase. ¿Cuántos estudiantes hay en la clase?
Mediante el uso de porcentajes, concluimos que la clase tiene una población total de 30 estudiantes.
¿Cuál es la cantidad de estudiantes de la clase?
En este problema tenemos a 12 estudiantes procedentes de una clase que participan en un evento cultural de su escuela y también se conoce que equivalen al 40 por ciento de su clase. El total de estudiantes de la clase se obtiene al dividir el número de estudiantes por el porcentaje:
x = 12 / 40 %
x = (12 · 100) / 40
x = 30
La clase tiene una población total de 30 estudiantes.
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(y + 2)² when y=-7, z = 19
Answer:
Step-by-step explanation:
if y=-7 you can plug it in the equation[tex]=(-7+2)^{2} \\=(-5)^{2} \\=25[/tex]Select all that have a value of 0.
cos π/2
cos 0
sin 0
sin 3π/2
tan π
Answer:
cos(π/2)sin(0)tan(π)Step-by-step explanation:
You want to know which trig functions on the given list have a value of zero.
Trig functionsSine
The sine function is zero at x=0 and multiples of π.
Cosine
The cosine function is zero at x = π/2 and for odd multiples of π.
Tangent
The tangent function is zero at x=0 and multiples of π. It is zero in the same places the sine function is zero.
List valuesThese values are zero:
cos(π/2)sin(0)tan(π)These function values are something different:
cos(0) = 1sin(3π/2) = -1the value of 86 in a dataset with the mean 101 and the standard deviation 19
The z-score of the value is -0.79
How to determine the z-score of the value?The given parameters are
Value = 86
Mean = 101
Standard deviation = 19
The z-score of the value is calculated using
z= (Value - Mean)/Standard deviation
This gives
z = (86 - 101)/19
Evaluate
z = -0.79
Hence, the z-score of the value is -0.79
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Megan wants to purchase 2
1/2
pounds of chocolate pretzels for lunch this week. If each pound cost $3.48, how much will she
spend on pretzels?
PLEASE WORK OUT ANSWER
Answer: $8.70
Step-by-step explanation: $3.48 x 2 for the 2 pounds. You divide 3.48/2 to get the half pound. 3.48 x 2 = 6.96. 3.48/2=1.74. 1.74 + 6.96 = $8.70
Answer:
Step-by-step explanation:
$3.48 x 2 for the 2 pounds. You divide 3.48/2 to get the half pound. 3.48 x 2 = 6.96. 3.48/2=1.74. 1.74 + 6.96 = $8.70
Fill in the blanks below in order to justify whether or not the mapping down represents a function
Answer:
The mapping diagram above represents a function since there is one number in Set A (the input) where there is only one mapping to Set B (the output).
Step-by-step explanation:
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function.
NB. The relation is a function IF AND ONLY IF each input value has only 1 output value.
The area of a triangle is 75 square units with a scale factor of 1 to 4 Find the area of the preimage preimage
The area of the pre-image is 300 square units
Area of triangleA triangle is a 2D shape that has a 3 sides and angles. The formula for calculating the area is expressed as;
Area= 1/2 * bh
where
b is the base of the triangle
h is the height of the triangle
Given the following parameters
Area of triangle = 75 square inches
If the area is increased with with a scale factor of 1 to 4, then
Area of pre-image = 4 * 75
Area of pre-image = 300 square units
Hence the area of the pre-image is 300 square units
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For which value of x is line l parallel to line m?
X=
The value of x should be 20 for the line l to be parallel to the line m
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet.
Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.
Therefore, for the line l to be parallel to the line m, the angles formed are corresponding angles.
Corresponding angles are equal.
Therefore,
3x - 20 = 2x + 10
3x - 2x = 10 + 20
x = 20
Therefore, the value of x should be 20 for the line l to be parallel to the line m.
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