[tex](\frac{-4}{5} )[/tex] in the form of Equivalent Fraction can be written as [tex]\frac{-4x}{15x}[/tex], where "x" is any integer.
As per the question statement, we are provided with a fraction, [tex](\frac{-4}{5} )[/tex].
We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.
To solve this question, we need to know what an equivalent fraction is.
Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.
For example, [tex](\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})[/tex] all equate to [tex]\frac{1}{2}[/tex] when simplified.
Now, for this case, equivalent fractions of [tex](\frac{-4}{5} )[/tex] are [tex](\frac{-8}{30}, \frac{-12}{45}, \frac{-16}{60},...)[/tex], where
[tex]\frac{-8}{30}=\frac{(-4)*2}{15*2}\\\frac{-12}{45}=\frac{(-4)*3}{15*3}\\ \frac{-16}{60}=\frac{(-4)*4}{15*4}[/tex]
i.e., the equivalent fractions of [tex](\frac{-4}{5} )[/tex] are in the form of [tex]\frac{-4x}{15x}[/tex], where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)
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Multiply the rational expressions
3(x-4)² 5(x + 4)5
8(x+4)³ 3(x-4)5
Simplify
9^4/9^24
Report your answer as a fraction.
The simplified fraction is [tex]\frac{1}{9^{20} }[/tex].
The fraction is [tex]\frac{9^{4} }{9^{24} }[/tex], we have to solve the fraction in the simplest form
[tex]\frac{9^{4} }{9^{24} }[/tex]
[tex]9^{4-24}[/tex]
As we know that, [tex]a^{m}[/tex]/[tex]a^{n}[/tex]= [tex]a^{m-n}[/tex]
[tex]9^{-20}[/tex]
1/[tex]9^{20}[/tex]
Therefore the simplified value is 1/[tex]9^{20}[/tex] which is in the form of a fraction.
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What is the expanded form of nine billion, eight hundred ninety-two million, eight hundred forty-six thousand, four hundred thirty-seven?
Answer:
9, 892, 846, 437
Step-by-step explanation:
9 billion = 9,000,000,000
8 hundred million = 800, 000, 000
9 ten million = 90, 000, 000
2 million = 2, 000, 000
8 hundred thousand = 800, 000
4 ten thousand = 40, 000
6 thousand = 6000
4 hundred = 400
3 ten = 30
7 one = 7
Add them all together = 9, 892, 846, 437
Hope this helped! ^^
Please help me simplify
Step-by-step explanation:
3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)
What is 51 rounded to the nearest tenth subtracted by 20?
A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. cost of goal total cost of soccer balls
The meaning of the terms and factors in the expression are
180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goalHow to determine what the different parts of the expression model represents?The expression is given as
180 + 15x
The above expression can be split as follows:
180 15xx180 + 15xThe meaning of the above terms and factors are
180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goalRead more about linear functions at
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Can you please help me solve these math problems questions 49-62
Answer:
The answer to your question is 16
6300 and 530. The value of 3
Answer:
300 and 30 respectively
Step-by-step explanation:
The 3 in each number can be valued at 3 with the same number of 0s as there are digits to the right of the 3.
For example, in 6300, the 3 stands for 300 because there are two digits (0 and 0) to the right of 3. So we know 3 stands for 300 because we add two 0s to the right of 3.
I need help I can’t find answer
Reason: It's 3 spaces from J to K, or vice versa.
We can subtract and use absolute value to get the same result
|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3
or
|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3
it's due by 12 am. please help as soon as possible
Answer:
Step-by-step explanation:
25. 5 < x < 7
Given: A= {2, 4, 6, 8}
B= {1, 3, 5, 7}
C= {3, 6, 9}
7. (A intersection to B) union C =
Please Answer pls I need it tomorrow
Wrong question.....................
If the measure of A is 28 less than three times the measure of B. A and B are a linear pair. Find the measure of A and B.
Measure of linear pair A and B are 86 and 38 respectively.
Let the measure of B = x
And measure of A = 3x – 28
As A and B are linear pair. Therefore their sum will be equal to 180
That is numerically,
A + B = 180
Putting the required values of A and B we will get
3x – 28 + x = 180
4x = 180-28
4x = 152
x = 38
Hence the measure of A = 3*38 – 28 = 86
And the measure of B = x = 38
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A(6-1) , В(2,3)
help pls
find the area of the figure. use 3.14 for pi
Answer:
38.13 m²
Step-by-step explanation:
area of triangle = 1/2 base × height
= 1/2 × 4 × 3
= 6 m²
Area of rectangle = length × width
= 6 × 3
= 18m²
Area of semi circle = 180/360 × π × radius²
= 180/360 × 3.14 × 3²
= 14.13 m²
Add all the areas together
6 + 18 + 14.13 = 38.13
Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above
The estimation of the value is A. 40000.
How to calculate the value?Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.
It should be noted that 18789 to the nearest ten thousand is 20000.
Also, 19019 to the nearest ten thousand will be 20000.
Therefore, the addition will be:
= 20000 + 20000
= 40000
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(a)-534° is found in quadrant
Answer: Quadrant 3
Step-by-step explanation:
Hard to explain.
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
It is required to find the measurements that could be the dimensions of rectangle B.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given :
Length=6 cm
width=4cm
According to given question we have,
Divide the length and the width of the rectangle we get=
k=Length/width
k=6/4
k=1.5
This means that a scaled copy of rectangle A must have a value of 1.5
when the dimensions are divided.
Possible rectangles are:
A. 12cm by 8cm
Divide the length and the width of the rectangle we get,
k=12/8
k=1.5
B. 48cm by 32cm
Divide the length and the width of the rectangle we get,
k=48/32
k=1.5
Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
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33. How many 3-cup servings are in 4 cups? A. 2 B. 3 C. C. 4 D. 12
I'm looking for the solution and answer, thanks :)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The function is given below.
f(x) = 7 / (x + 5)
The difference quotient in the form [f(x) - f(a)] / (x - a) will be
[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]
Further, simplify the expression, then we have
⇒ - 7 / (x + 5)(a + 5)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
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can someone help me with this
The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
numbers?
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
SetupLet x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
SolutionMultiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
__
Additional comment
The larger is (8/7)(28) = 32.
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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Help on this question please
Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Use a TI-83 Plus/TI-84 Plus calculator. Round your answers to at least one decimal place.
The variance and standard deviation for the frequency of pupils per teacher in some states of US is; Variance= 4.62 = 4.6 and Standard Deviation = 2.14 = 2.1
What is variance?Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data.
The standard deviation(σ) of a random variable, is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means;
Standard Deviation = √variance.
For the given data the sum of frequencies = 1+16+11+7+1+2= 38.
Midpoint is 12,15,18,21,24,27.
ni x mi = 12,240,198,147,24,54.
Sum of ni + mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)² is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)² = 175.62.
Variance = Sum of (mi - u)² / sum of frequencies
= 175.62/38
= 4.62 = 4.6.
Standard deviation = √variance.
= √4.62
= 2.14 = 2.1.
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Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Using it's concept, the relative frequencies are given as follows:
a) 124/639
b) 43/213
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
For this problem, the number of students is:
583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.
620 responded study hard, hence the relative frequency is given as follows:
620/3195 (simplifying by 5)
124/639
645 responded goal in mind, hence the relative frequency is given as follows:
645/3195 (simplifying by 5)
129/639 (simplifying by 3)
43/213
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Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
She will need 11 containers.
How to calculate the fraction?From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.
The containers needed will be:
= 8 ÷ 3/4
= 8 × 4/3
= 32/3
= 11
He will need 11 containers.
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ITS DUEE TODAY PLEASEDE
Answer:
scale factor from A to B = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original
scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )
2 + (-5) = ? I can't figure this out
Answer:
Step-by-step explanation:
2 + (-5)
just like subtracting
2-5
=-3
Answer:
-3
Step-by-step explanation:
I have had this question before, and -3 is the answer.