Task 2 given the table and graph, evaluate the following functions:

whichWe define:

• A = original area = 100 sq units,

• A' = dilated area.

If we dilate a trapezoid in a scale factor k, the area scales as:

Using the area A = 100 sq units, we have:

This formula gives as the scale factor k for witch we must dilate the trapezoid to have an area A'.

1) For A' = 6400 sq units, we have:

2) For A' = 100 sq units, we have:

3) For A' = 25 sq units, we have:

4) For A' = 900 sq units, we have:

Answers

• 8

• 1

• 1/2

• 3

Answer:

8 people

Step-by-step explanation:

117.50 - 5.50 = 112

112 ÷ 14.8 = 7.56756756757, but you round it up to 8, so the answer is 8 people.

The two ways to write the expression k/3+16 are 1/3k + 16 and (k + 48)/3

From the question, the expression is given as

k/3+16

Start by factoring 1/3 out of the first term

So, we have the following expression

1/3k + 16

The above is one of the ways of rewriting the expression

Another way is by taking the LCM

So,we have

k/3+16 = (k + 48)/3

Hence, the equivalent expressions are 1/3k + 16 and (k + 48)/3

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The percentage of monthly budget should Jacob allocate for rent is 27.7%.

For the given question;

Jacob's two week earning is $1,350.

Jacob's one week earning will be $1,350/2 = $675.

Considering there are 5 weeks in a months.

Jacob's one month earning will be $675×5 = $3,375.

The total monthly rent = $936.

Let 'x' be the percentage Jacob pay for the rent.

Then,

x% of 3,375 = 936

Simplifying the expression.

3,375x/100 = 936

x = 93,600/3,375

x = 27.7 %

Thus, the percentage of monthly budget should Jacob allocate for rent is 27.7%.

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You have the following equation:

-8(y -7) = 2y + 6

In order to solve for y, proceed as follow:

-8(y -7) = 2y + 6 expand the factor right side

-8y + 56 = 2y + 6 subtract 2y and subtract 56 both sides

-8y - 2y = 6 - 56 simplify

-10y = -50 divide by -10 both sides

y = -50/(-10)

y = 5

Hence, the value of y is 5

The result of the given expression is one over three raised to the fourth power.

what is logarithmic equation ?

 Logarithm , the exponent or power to which a base must be raised to yield a given number.

Simplifying exponential equation

Exponential equations are inverse of logarithmic equation. Exponential equation is expressed as y = ab^x

Given the expression below;

(3⁴)⁻¹ = 3⁻⁴

According to the law of indices

a^-n = 1/a^n

Using this law above, this will be expressed as;

(3⁴)⁻¹ = 3⁻⁴ = 1/3⁴

Hence the result of the given expression is one over three raised to the fourth power

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Answer: 1.25

Step-by-step explanation: Divide 1,200 in 7 days and the aswer is 1.25

Answer:

177

Step-by-step explanation:

Answer: a_10 = 177147/65536. Write the general term through the pattern:: a_n = 36 3/4 n - 1 Substitute and calculate:: a_10 = 177.

Frank's gross capital gain was $2,100.

What is gross capital gain?

the discrepancy between the overall cost base of your asset and your capital gains. Your share of the capital gain - If more than one person owns this asset, your share of the gain is equal to the percentage of the asset that you personally hold.

You want the gross capital gain resulting from selling a stock purchased for $6,150 and sold for $8,250.

Capital Gain

The capital gain resulting from the sale is the difference between the selling price and the purchase price:

 gain = selling price - purchase price

 gain = $8,250 -6,150

 gain = $2,100

Frank's gross capital gain was $2,100.

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Using ratios, the sentences are completes as follows:

The ratio between two amounts a and b is given by the division of a by b, as follows:

r = a/b.

Between two amounts b and a, the ratio is given by the division of b by a, as follows:

r = b/a.

This means that the ratio between two amounts is not commutative, meaning that the order of the amounts matters.

A ladybug with 2 eyes and 6 spots, hence the first sentence is given as follows:

There are 6 spots for every 2 eyes. (ratio is the number of eyes for 6 spots).

The number of spots per eye is the ratio of the number of spots and the number of eyes, as follows:

Spots per eye = 6 spots/2 eyes = 3 spots per 1 eye.

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Answer:

the answer is A. (3,6)

Step-by-step explanation:

5x - 2y = 3

5x - 2(2x) = 3

5x - 4x = 3

x = 3

y = 2x

y = 2(3)

y = 6

2 5/8 as an equivalent percent is 262.50%.

Percentage is the rate of a number expressed as fraction out of 100. Percentage is a measure of frequency. The sign that represents percentage is %. In order to change a number to a percentage, multiply the number by 100.

A mixed number is a non-integer that is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.  An example of a mixed number is 2 5/8

In order to convert the mixed number to percentage, multiply it by 100:

2 5/8 x 100

21/8 x 100 = 262.50%

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Answer: Assuming interest rate is yearly, Ollie would have to pay back 6, 655 dollars :)

Step-by-step explanation:

The formula for compound interest is

Y = P(1 + r/m)^mt, with P being the initial deposit (5000), r being the interest rate (0.10), m being the amount of times it is compounded per year (1), and t being the number of years (3).

Answer : x = 39

We are given the equation

x - 17 = 12

First, isolate the value of x

When you isolate the value of x, the figure 17 cross the equality sign and change to positive

x = 12 + 17

x = 39

Answer:

115°

Step-by-step explanation:

The sum of the three angles in a triangle is always 180°

m∠A + m∠B + m∠C = 180°

m∠B = 180 - m∠A - m∠C

m∠B = 180 - 30 - 35 = 115

Answer:

hello fríend nose inglus

Graph 1 represents the solution x > 3.

In Graph 1, the line is highlighted from point 3 with a white dot which is used to assert that all the values from 3 to positive infinity but 3 would not be considered. The highlighted side is toward the positive side.

In Graph 2, the line is highlighted from point 3 with a white dot which is used to assert that all the values from 3 to negative infinity but 3 would not be considered. The highlighted side is toward the negative side.

In Graph 3, the line is highlighted from point 3 with a black dot which is used to assert that all the values from 3 to positive infinity and 3 would be considered as well. The highlighted side is toward the positive side.

In Graph 4, the line is highlighted from point 3 with a black dot which is used to assert that all the values from 3 to negative infinity and 3 would be considered as well. The highlighted side is toward the negative side.

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The graph of the inequality y < 1 - 3x is in the attachment below.

Given the inequality, y < 1 - 3x, we need to determine if the line of the inequality graph will be dashed or solid, the slope (m) of the line, and the y-intercept (b).

The slope (m) of the inequality y < 1 - 3x is -3. This means the line would be a declining line where the rise/run = -3.

The y-intercept (b) of the inequality y < 1 - 3x is 1. This means the line would intercept the y-axis at y = 1.

The boundary line of the inequality graph for y < 1 - 3x would be a dashed line because of the inequality sign "<". It also means the shaded part would be below the boundary line, because, the inequality sign, "<" means the the values are not included.

The graph that will represent the inequality given is the image attached below.

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A pyramid has an isosceles triangle base with sides of 25,25 and 48 units.

This tells us that our base's height is equal to two-thirds of its side because it is a square base.

Therefore, a pyramid has an isosceles triangle base with sides of 25,25, and 48 units.

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A formula that can be used to find the area of one triangular section of the door is; (1/2) * Area 0f rectangle

From the attachment, we can say let us;

Denote the Length as L

The width as w.

Area of a triangle is given by the formula;

A = 1/2 * base * height

The area of the rectangle is:

A = Length * Width

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle. Thus;

Area of Triangle = (1/2) * Area 0f rectangle

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Daisy has two measuring jugs, A and B. The volume of each measuring jug will be A and B will be 500 ml and 400 ml.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Daisy has two measuring jugs, A and B, that together have a capacity of 900 ml, A jug of water is filled by Daisy. Afterward, she transfers water from jug A into jug B. Following this, jug A has 500 ml of water left.

Total volume = volume in jug A + volume in Jug B

If there are 500 ml of water remaining in jug A.

900 ml = 500 ml + volume in Jug B

volume in Jug B = 900 - 500

volume in Jug B = 400 ml

Thus, Daisy has two measuring jugs, A and B. The volume of each measuring jug will be A and B will be 500 ml and 400 ml.

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SOLUTION

Let's list the values first. These are

48, 65, 60, 45, 54, 64, 70 and 45

Now, we have to arrange these values from the smallest to the largest. Doing this we have

45, 45, 48, 54, 60, 64, 65, 70.

The median will be between the middle items which are 54 and 60. So we will find the median by the following way

Therefore, the Median is 57°F

The sum of the interior angles of a polygon is given by the formula:

Sum = (n - 2)180

where n is the number of sides of the polygon

Since the polygon is a three-sided polygon, n = 3

Sum = (3 - 2)180

Sum = 1 x 180

Sum = 180

The student council’s expected profit as per given budget is equal to $25.

As given in the question,

Budget decided by the student council at Baker High School while planning a dance.

Total expenses on the items used for the dance

DJ fuze. : $250

Decorations.  : $125

Total expenses done by student council for dance

= $( 250 +125)

=$375

Total funds raised by dance performance is equal to

Dance tickets. $400

Total revenue =$400

Revenue >Expenses

Student council’s expected profit= $(400 -375)

                                                        = $25

Therefore, the student council’s expected profit as per given budget is equal to $25.

The complete question is:

The student council at Baker High School is planning a dance. The table shows their budget. What is the student council’s expected profit?

Funds raised:

Dance tickets : $400

Expenses:

DJ fuze. : $250

Decoration : $125

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Answer:

A. Yes, Rectangle A is a scaled copy of rectangle B.

B. Yes, Rectangle B is a scaled copy of rectangle A.

C. No, Rectangle A is not a scaled copy of rectangle C.

Step-by-step explanation:

Rectangle A has dimensions 12x8 and Rectangle B has length 15x10.

We see that sides of A and B are proportional because

[tex]\frac{12}{15} = \frac{8}{10}[/tex]

So we say that since sides are proportional A and B are similar or scaled copy of each other.

Since A is smaller and B is bigger, a is 0.8 scaled copy of B. Similarly B has an enlargement scale factor = 1.25 Rectangle C has 30x15, not proportion with sides of A and B. Hence we find that C is neither a scaled copy of A nor B

Hope this helps! :))

Answer:

Everything is right. No need to change anything.

The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of the principal amount, rate, and period.

The formula for simple interest is:

Simple Interest = (Principal × Rate × Time) / 100

Where I am interested

P ⇒ amount deposited.

R ⇒ interest rate

T ⇒ period for investing

Given that the time is 17 months = 17/12 years

1 and 1/8 = 1.125

I = 2,560 ×17/12 × 1.125/100

    = 2560 × 17/12 × 0.01125

     = $185.86667

The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90

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In three months, he will owe his father $2500 less $1200, or $1300.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

Tom's payment for 7 months is 400 * 7 = $2800.

He borrowed $5300 ($2500 plus $2800).

His monthly payment for three months is 400*3.

In three months, he will owe his father $2500 less $1200, or $1300.

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Answer:

Step-by-step explanation:

Step by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method x-5y+4z=27,4x-3y-z=23,3x+3y-6z=-9 Tiger Algebra Solver.