lucy and her father share the same birthday. When lucy turned fifteen, her father was 3 times her age. On their bday this year, Lucky's father turned exactly twice as old as she turned. How old did lucy turn this year?

The missing partial products are:

10 x 2 = 20

6 x 50 = 300

6 x 2 = 12

The sum of the  partial products is,

16 x 52 = 500 + 300 + 20 + 12 = 832

Here the partial products method is used to find the product of two two digit numbers 16 and 52.

For this a table of the form given in the figure is constructed in which the partial products are found.

For this first split 16 and 52 into 10 + 6 = 16 and 50 + 2 = 52.

Then take the partial products between 10 and 50, 10 and 2, 6 and 50, 6 and 2. Then take the sum of all these four values to get the final answer. This is the method of partial products.

So finding the partial products,

10 x 50 = 500

10 x 2 = 20

6 x 50 = 300

6 x 2 = 12

To find the final answer, take the sum of these products.

500 + 300 + 20 + 12 = 832

⇒ 16 x 52 = 832

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Answer:

54.6

Step-by-step explanation:

Answer:

54.6

Step-by-step explanation:

Multiply 4.55 by 12 to get 54.6.

Then divide it by 12 to get 4.55

Answer:

Step-by-step explanation:

1)  p - m = n

     p = n + m

p - n = m

p - m = n  ;  p = n + m and p - n = m represents same relationship.

2)

[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]

3)

[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

2([tex]\frac{2}{5}[/tex] ) + 2(- [tex]\frac{1}{5}[/tex] )

= [tex]\frac{4}{5}[/tex] + (- [tex]\frac{2}{5}[/tex] )

= [tex]\frac{4}{5}[/tex] - [tex]\frac{2}{5}[/tex]

= [tex]\frac{2}{5}[/tex]

Answer:

30/75 = 2/5 or 2:5

Hope this helps!!!

The expression for the product of 2 and the difference of a number and 5 is 2x - 10

An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants

These expressions also known to be made up of various mathematical or arithmetic operations, such as;

From the information given, we have;

The product of 2 and the difference of a number and 5.

Let the number be x

This can be represented thus;

2(x- 5)

expand the bracket, we have;

2x - 10

Hence, the expression is 2x - 10

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Complete question:

Write the expression for

The true statement is option A, They show that the equation represents the same line.

Given,

Two equations:

Equation A : 4y - 3x = 4

Equation B : -2x - 8y = 8

These lines intersect at a single point (-2, -0.5)

We have to find the true statement which satisfies the values x as -2 and y as -0.5.

Lets check

x = -2

y = - 0.5

Equation A:

4y - 3x = 4

4 × (-0.5) - 3 × (-2)

= -2 - (-6)

=  - 2 + 6

= 4

Here, the values satisfies Equation A.

Now,

Equation B:

-2x - 8y = 8

= - 2 × (-2) - 8 × (-0.5)

= 4 + 4

= 8

Here also, the values satisfies the Equation B.

So, the true statement will be,

Option A, They show that the equation represents the same line.

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Answer:

22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question

3/5 is equal to 0.6 not 0.66666666

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Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

Given Data

The remaining length (L) of 120-inch rope after x inches have been cut off: 120- x = L.

The fact that

If a relationship between two variables, x and y, can be written as or, then it represents a proportionate variation.

y = kx

The line passes through the origin, and the constant of proportionality, k, is equal to the slope of the line, m.

There are

The length (L) of a 120-inch rope that is left after x inches have been removed.

There are

The dependent variable is L —->. (output variable)

The independent variable is x. (input variable)

The linear formula is

L = 120-x

Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.

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Step-by-step explanation:

a. f(x) = 6x+5 and g(x) = x--5/6

f(g(x)) = 6x + 5

Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))

f(g(x)) = 6(x--5/6) + 5

Open bracket

f(g(x)) = 6(x -- 5/6) + 5

f(g(x)) = x -- 5 + 5

f(g(x) = x

b. g(f(x) = x--5/6

g(f(x) = (6x+5) -- 5/6

g(f(x)) = 6x + 5 -- 5/6

g(f(x)) = 6x/6

g(f(x)) = x...

To check for inverse

1/g(f(x) = 1/x

1/f(g(x) = 1/x

Meaning 1/f(g(x) = 1/g(f(x) inverse of each other

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The answer in hours is 8.91 hours.

Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.

Given: 8 hours 20 minutes and 36 seconds

20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours

because as mentioned above 1 hour = 60 min

and 36 seconds in hours can be written as 36/ 60X60  = 1/ 100 hours or 0.01 hours .

because 1 min = 60 seconds and 1 hour = 60 min

thus 1 hour = 60 X 60 seconds

Thus the final answer is 8+0.9+0.01 hours = 8.91 hours

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There are 200 fishes estimated.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

captures 20 fish out of a small lake behind his college.

Now,

He again catches 20 fishes out of which 2 have markers

let the estimated fish are x.

So,

2/ 20 = 20 /x

20 x 20 = 2x

400 = 2x

x= 400/ 2

x= 200

Hence, there are 200 fishes estimated.

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Answer: x+-3

Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3

Hope this helped!!!!

Answer:

This is the most optimal way to resolve the problem:

Step-by-step explanation:

15/n+2 = 3n/n

15/n+2 = 3

3 (n+2) = 15

n = 5 - 2

n = 3

Answer:

[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]

[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]

Step-by-step explanation:

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a negative leading coefficient, the parabola opens downwards.   Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is positive is:

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a positive leading coefficient, the parabola opens upwards.   Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is negative is:

We have to find the side of a square with a diagonal with length 12√10 ft.

We can sketch this as:

We can apply the Pythagorean theorem as:

Answer: the square side length is 12√5

The solution set to the inequality, -1/2m ≥ 7/11, is: m ≤ -14/11.

See attachment for the graph.

If the possible set of values to an inequality is "greater than or equal to" (≥), or "less than or equal to" (≤), then a closed circle is used to indicate the point on the graph.

On the other hand, an open circle is used for "< or >".

If it is "> or ≥" the shaded arrow is drawn to the right, if "< or ≤", it is drawn to the left of the inequality graph.

Given the inequality, -1/2m ≥ 7/11, solve for m:

-1/2m(-2) ≥ 7/11(-2)

m ≤ -14/11 [the sign changes because we are multiplying both sides by negative number]

The solution to the inequality is: m ≤ -14/11.

The graph is given below for m ≤ -14/11.

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Answer:

D

Step-by-step explanation: the answer is D with the arrow pointing to the left.

Hope this helps!

In a square, if the side is 8 cm and the square is having all its sides equal. Therefore, the area will be 8×8 = 64 cm²

Square: A plane-closed figure with four sides, having all four sides equal and connected with one another at 90° which creates four right angles.

unlike a rectangle that has both length and breadth and all sides are not equal, rather rectangle has two opposite sides equal.

if, length = breadth, this will result in the formation of a square.

Therefore, Breadth in the square doesn't exist as all sides are equal in the square. Area of a square = side× side

⇒ 8×8 = 64 cm².

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The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0. The solutions exists x = -4, x = -2, x = 1.

The zero-product property in algebra asserts that two nonzero items cannot be multiplied together to produce zero.

The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0 (or both). A product of factors exists zero if and only if one or more of the factors exists zero.

Let the given equation be (x+4)(x+2)(x-1)=0

By using the Zero Factor Principle, we get

If ab = 0 then a = 0 or b = 0

then x + 4 = 0 or x + 2 = 0 or x - 1 = 0

Solve x + 4 = 0

⇒ x = -4

Solve x + 2 = 0

⇒ x = -2

Solve x - 1 = 0

⇒ x = 1

The solutions are x = -4, x = -2, x = 1

Therefore, the correct options exists:

b) 1

c) -4

e) -2

The complete question is:

An equation is shown below.

(x + 4)(x + 2)(x - 1) = 0

Select all of the following values that make the equation true.

a) 4

b) 1

c) -4

d) 0

e) -2

f) 2

g) -1

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Answer:

Step-by-step explanation:

so if this = that then this = x plus five 5 into 9

is

6 9 420 = 69x so pls go away 4848]

568393=334-0i34-0 o

Answer:

The correct equation is 2x + 6 = 24.

Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6

Answer:

how i understand this is:

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by

100    

=125%?

(correct me if am wrong)

Answer:

x=18

Step-by-step explanation:

multiply both sides of the equation by 6/5

simplify

yw

Answer:

$15

Step-by-step explanation:

25÷100×40=10

25-10=15

Answer:

Discount is 40 % so Mohamad will pay 60%

25x 60/100

=1 x 60/4

=60/4

=15

60% of $25 is= $15

Mohamad pays $15

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The number of seconds that the magician hold his breath when he first tried is 90 seconds.

With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.

Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:

= x + (60% × x) = 144

x + 0.6x = 144

1.6x = 144

Divide

x = 144 / 1.6

x = 90

Therefore, the first try is 90 seconds.

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a.) In Line 1 Kylie made her error.

b.) Kylie's error is that she opened the bracket -2(x - 5) in the first line and did not change the negative sign to a positive sign as she multiplied -2 and -5 as a negative number multiplied by a negative number is a positive number.

c.) The correct solution to the problem is given by,

Given: 6x - 2(x - 5) = 22

6x - 2x + 10 = 22

4x = 22 - 10

4x = 12

x = 12/4

x = 3

Hence, the value of x is 3 and not 8.

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The expression that represents the distance is |-1/4 - 3/4|

From the question, the endpoints are given as

-1/4 and 3/4

Rewrite the endpoints properly

This is done as follows

Endpoint 1 =  -1/4

Endpoint 2 =  3/4

The distance expression between the endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2 |

Substitute the known values in the above equation

So, we have the following equation

Distance = |-1/4 - 3/4|

Hence, the disance expression is |-1/4 - 3/4|

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Answer:

the first opinion is  the right answer

Step-by-step explanation:

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