At the Jackson Zoo, 1/2 of the animals are primates. Of the primates, 1/2 are monkeys. What fraction of the animals at the Jackson Zoo are monkeys?

After simplification, the cost of 1 spaghetti meal is 9.

In the given question,

Two people have the same amount of money to spend.

If person A buys 7 spaghetti meals, he has $2 left.

If person B buys 5 spaghetti meals, she has $20 left.

We have to find the cost of 1 spaghetti meal.

The both person have same amount of money to spend. So let both have $x to spend.

Let y be the cost of one spaghetti meals.

A buys 7 spaghetti meals and he has $2 left.

So the cost of 7 spaghetti meals is 7y.

Now he has $2 left so the total cost is equal to the sum of the cost of 7 spaghetti meals and $2.

The equation should be

7y+2=x......................(1)

B buys 5 spaghetti meals, she has $20 left.

So the cost of 5 spaghetti meals is 5y.

Now he has $20 left so the total cost is equal to the sum of the cost of 5 spaghetti meals and $20.

The equation should be

5y+20=x......................(2)

Now put the value of x from the equation 2 in equation 1.

So 7y+2=5y+20

Simplifying the equation.

Subtract 2 on both side

7y+2−2=5y+20−2

7y=5y+18

Subtract 5y on both side

7y−5y=5y+18−5y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the cost of 1 spaghetti meal is 9.

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From the given figure, measure of the required angle are as follow :

m∠h = 19° and Angle m∠c = 132°.

As given in the question,

From the given figure relation between the angles are as follow:

Angle a and 48° are linear pairs.

m ∠a + 48° = 180°

⇒ m ∠a = 132°

Two parallel lines and transversal is formed for the angle formed between them.

∠a and ∠c are pair alternate angles.

Measure of  ∠c = 132°

Measure of ∠d and 151° are linear pair .

m ∠d + 151° = 180°

⇒ m ∠d = 29°

m ∠h + m ∠c + m ∠d = 180°

⇒ m ∠h + 132° + 29° =180°

⇒ m ∠h = 19°

Therefore, from the given figure, measure of the required angle are as follow : m∠h = 19° and Angle m∠c = 132°.

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1. The tax percentage will be 4.5%.

2. An item that cost $20 would have a tax of $9.

3. Ray Bans cost $852.00, the total cost after tax would be $1,223.

Define percentage.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.

Solution Explained:

Given here,

The original cost of the Sunglasses = $10

Total cost = $10.45

Tax amount = 10.45 - 10 = $0.45

1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%

2. Using the tax percentage from (1),

Tax for an item that costs $20 is

= [tex]\frac{45}{100} X 20[/tex] = $9

3. Ray Bans cost = $852

Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25

Total after-tax = 852 + 371.25 = $1,223

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Answer:37/3

Step-by-step explanation:

the trick I always use is multiply your denominator by your whole number and add your numerator

The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

In this question, we can observe that

D(-3, 5) -> D(5, -3)

E(-3, 3) -> E'(3, -3)

F(1, 2) -> F'(2, 1)

This means, the coordinate (x, y) of preimage is transformed to (y, x)

This is nothing but reflection of triangle DEF about the line x = y

Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

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The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a[tex]x^2[/tex]+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 ([tex]x^2[/tex]+4x)

Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

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When the number is a natural number, the solution set is = 6,7,8,...

Correct choices are (A), (D), (E), (F).

In mathematics, an inequality depicts the relationship between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is greater than, greater than or equal to, less than, or less than or equal to another value.

Given inequality is,

12+11x/6 ≤ 5+3x

Solving the inequality is given by,

12+11x/6 ≤ 5+3x

12-5 ≤ 3x-11x/6

7 ≤ (18x-11x)/6

7 ≤ 7x/6

42 ≤ 7x

6 ≤ x

When it is natural number the solution set is = {6,7,8,...}

As a result, options (A), (D), (E), and (F) are correct.

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The number of adults surveyed until one who watches the Super Bowl is found.

Given information,

Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.

Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

Hence Random variable x is:

The number of adults surveyed until one who watches the Super Bowl is found.

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Someone who makes $40,000 in the United States would need to earn  $26,400 in Mexico

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Earning in the United States equals earning in Maxico.

By applying the formula, a person's estimated annual income in the United States is $30303 when their annual income in Mexico is $20,000.

hence when $30303 in United States = $20,000 in Maxico

$40,000 in United States = (20,000/30303) * 40,000 in Maxico = $26400 (Approx)

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It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

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Answer:

DC = 38 ; CM = 19

Step-by-step explanation:

DC = 2/3 DM

DC = 2/3 * 57

DC = 2 * 19

DC = 38

CM = 57 - 38 = 19

The sum of the angles, ∠1 and ∠4 is 250.

What is alternate exterior angles?

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

As given, the diagram of airport runway intersections show two parallel runways. A taxiway crosses both runways.

After crossing runways by taxiway the angles, ∠8 and ∠1 becomes same.

Since, ∠8 = 125  so ∠1 = 125.

Now ∠1 and ∠4 are alternate exterior angles.

It becomes ∠4 is same as ∠1.

Therefore, ∠1 = ∠4 = 125.

So the sum of angles, ∠1 and ∠4 is

125 + 125 = 250.

Hence, the sum of angles ∠1 and ∠4 is 250.

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Answer:

First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.

An amount of $ 23,479.45 after a period of 5 years.

In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:

C' = C · (1 + r / 100)ⁿ

Where:

Please notice that four quarters equals a year.

If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:

C' = 13,000 · (1 + 3 / 100)²⁰

C' = 23,479.45

The final amount of the money deposited is $ 23,479.45.

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The APR for the loan described below. purchase a living room set for $3,500 at 10% add-on interest for 3 years is 19.5%.

An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card. The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR) , APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment.

Given,

The following formula can be used to determine the annual percentage:

APR = 2Nr/N+1

N = number of payments,

Time is 12 x 3  years, or 36 months.

add-on interest rate (r) = 10% = 0.10

When we substitute our value to determine the APR, we obtain:

APR = 2 × 36×0.10/36+1

APR = 7.2/37

APR = 0.1945

APR = 19.5%

The APR for the loan described below. purchase a living room set for $3,500 at 10% add-on interest for 3 years is 19.5%.

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Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

Given that,

We have to find which rule best explains the arrangement of transformations that converts figure ABCDE into figure A"B"C"D"E.

The diagram is given in the image.

Figure ABCDE is changed to Figure A"B"C"D"E in the provided figure.

The reflected image of a figure travelling along a line is situated at the same angle from the line as the original figure.

To create the figure A'B'C'D'E', the figure ABCDE must first be mirrored through the line m. The x and y coordinates of a figure change position and the y sign is inverted when it is rotated by 180 degrees.

The figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

The final option, r m 0 Rc180°, is the correct one among all the others.

Therefore, Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

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Answer:

[tex]3x + 7y \geq 42[/tex]

Step-by-step explanation:

x = amount of naxvips sold

y = amount of corazs sold

We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.

There is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

At the null hypothesis, it is tested if the mean remains at 31.3, that is:

[tex]H_0: \mu = 31.3[/tex]

At the alternative hypothesis, it is tested if the mean has decreased, hence:

[tex]H_1: \mu < 31.3[/tex]

We have a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05 and 16 - 1 = 15 df.

The t-distribution is used, as we have the standard deviation only for the sample, hence, using a calculator, the critical value is of:

t = -1.75.

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters of the equation are listed as follows:

In the context of this problem, the values of those parameters are:

[tex]\overline{x} = 29.8, \mu = 31.3, s = 4.1, n = 16[/tex]

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29.8 - 31.3}{\frac{4.1}{\sqrt{16}}}[/tex]

t = -1.46.

The test statistic is greater than the critical value for the left tailed test, hence the null hypothesis is not rejected, meaning that there is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

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Answer:

c) 7(7 + 4)

Step-by-step explanation:

Given expression,

→ 49 + 28

Then equivalent expression is,

→ 7(7 + 4)

→ (7 × 7) + (7 × 4)

→ 49 + 28

Hence, the answer is 7(7 + 4).

Answer:7(7+4)

Step-by-step explanation:

There are a total of 9 items to divide among 3 people, so the number of ways to divide the items is 84.

In mathematics, a combination is a selection of elements from a bigger group where the arrangement of the elements is irrelevant. Consider a collection of three letters, A, B, and C, for illustration. Two of these letters, AB, AC, and BC, can be chosen in one of three ways. "Combinations" of the letters A, B, and C are what these three options are referred to as.

C(n, k)=n!/(k!*(n-k))!

where the product of all positive integers from 1 to n, denoted by the symbol n!, is the factorial of n. For instance, 5! equals 1 + 2 + 3 + 4 + 5 = 120.

For example, three people divide among themselves six identical apples, one orange, one plum, and one tangerine.

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Adrian pay $5.0 for all the fruits.

Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

We want to find the total amount Adrian should pay for the fruits.

The given grapes cost is $2.35 per pound.

The given orange cost is $ 0.99 per pound.

The given apple cost is $1.65 per pound.

We will find the total cost of the fruits by adding all the amounts of the fruits.

So,

Total cost=Cost of grapes+ Cost of orange+ Cost of apple

Total cost=2.35+0.99+1.65

Total cost=4.99 or 5.0(approx)

Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

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The value of c = 4.28 cm and the value of d = 30.3 cm

Consider the big triangle

The hypotenuse of the triangle = 39 cm

The base of the triangle = 25 cm

The vertical side = 7c

According to Pythagorean theorem

The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side

[tex]39^2=25^2+(7c)^2[/tex]

1521 = 625 + [tex]49c^2[/tex]

[tex]49c^2[/tex] = 1521 - 625

[tex]49c^2[/tex] = 896

[tex]c^2[/tex] = 896 / 49

[tex]c^2[/tex] = 128/7

c = 4.28 cm

Consider the small triangle

The vertical side = 4c

= 4 × 4.28

= 17.12 cm

[tex]d^2=25^2+17.12^2[/tex]

[tex]d^2[/tex] = 625 + 293.09

[tex]d^2[/tex] = 918.09

d = 30.3 cm

Hence, the value of c = 4.28 cm and the value of d = 30.3 cm

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Answer:

Range is basically the Y-Values,

so in this case: {-3, -1, 1, 3}

happy learning

The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.

What do we mean by expanded form?

The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.

For example, 783 in expanded form can be written as -

7x(100) + 8x(10) + 3x(1)

100, 10 and 1 are place values

7,8 and 3 are place values

According to the given data:

To write 966966 in expanded form

1. Write the number in standard form: 966,966

2. Multiply each digit with its place value.

9x(100,000)

6x(10,000)

6x(1,000)

9x(100)

6x(10)

6x(1)

3. Write the values in summation form to get the expanded form.

966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).

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The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Divide 4 5/6 and -2 1/7

4 5/6 = 35/6

-2 1/7 = -15/7

= (35/6)/(-15/7)

= (35/6)(-7/15)

= -245/90

= -49/18

= -2 13/18

Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

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Proved that The length of OP ≅ The length of OB

Consider the two triangles triangle OTP and triangle OCB

The given measurements are

The measure of angle T = The measure of angle C

The length of the side TP = The length of the side CB

The measure of angle O is common in both triangle

Here two angles and one side of the triangle OTP is equal to the two angles and one side of the triangle OCB, then the two triangles are congruent

Therefore the length of the OP is equal to the length of the triangle OB

Hence, proved that the length of OP ≅ The length of OB

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The required probability that the next 14 students to enroll should be an adult is 0.388.

Given that,
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total students enroll = 18 adult + 18 other student
Total student enroll = 36 students,
Next studentes = 14 adult
Probability of next students to be adult = 14 / 36 = 0.388

Thus, the required probability that the next 14 students to enroll should be an adult is 0.388.

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As per the concept of LCM, the smallest number of pumpkins she must have to make these groups is 36

LCM

LCM is also known as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD).

For example two integers a and b, denoted

LCM (a , b),

Here the LCM is the smallest positive integer that is evenly divisible by both a and b.

Given,

Mariana can make groups of 3, 4, or 9 pumpkins with none left over

Here we need o find the smallest number of pumpkins she must have to make these groups.

Here we have the number of pumpkins as 3, 4, and 9.

Now, we have to find the LCM of these number.

Find and list multiples of each number until the first common multiple is found.

This is the lowest common multiple.

Multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

Multiples of 9:

9, 18, 27, 36, 45, 54

Here the common multiple of the number 3,4, and 9 is 36.

Therefore, LCM(3, 4, 9) = 36

So, 36 is the smallest number of pumpkins she must have to make these groups.

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