solve using substitution

The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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Answer:

A

Step-by-step explanation:

The graph is actually

y \(\leq\) 2x - 3 Points on the line are included as solutions.

(3,3) You can see that this point in on the line, so it is a solution.

(-4,-11) You cannot see this on the graph

y \(\leq\) 2x -3

-11\(\leq\)2(-4) - 3

-11≤-8 - 3

-11\(\leq\)-11 This is a true statement, so (-4,-11) is a solution.

(-1,-8)

y\(\leq\) 2x - 3

-8\(\leq\)2(-1) - 3

-8\(\leq\)-2-3

-8\(\leq\)-5 This is a true statement, so (-1,-8) is a solution.

(5,0) You can see that this point in on the line, so it is a solution.

Helping in the name of Jesus.

The mean and standard deviation of the data sets are;

a. 60.83, 15.11

b. 44, 4.03

c. 7.2, 3.7

d. 114.4, 10.74

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The mean of a data is the average of the data across the points.

a. data set; 35, 50, 60, 75, 65, 80

mean = 60.83

standard deviation = 15.11

b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39

mean = 44

standard deviation = 4.03

c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7

mean = 7.2

standard deviation = 3.7

d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125

mean = 114.4

standard deviation = 10.74

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Answer:Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.

So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.

For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.

Any number that is strictly greater than 11/16 and strictly less than 15/16 belongs to this interval.

In mathematics, inequalities are statements that cοmpare twο values and indicate whether οne value is greater than, less than, οr equal tο the οther value.

Tο find the numbers that are greater than 11/16 and less than 15/16, we need tο cοnsider all numbers between these twο values, excluding the endpοints. That is,

11/16 < x < 15/16

where x represents the number we are looking for. We can also write this using interval notation as:

(11/16, 15/16)

Hence, any number that is strictly greater than 11/16 and strictly less than 15/16 belongs to this interval.

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According tot the question we have the height of the can is approximately 15 centimeters.

To find the height of the can, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the cylinder and h is its height. We know that the diameter of the can is 8 centimeters, which means the radius is 4 centimeters. We also know that the can holds 753.6 cubic centimeters of juice. So, we can set up the equation as follows:

753.6 = π(4)^2h

Simplifying this equation, we get:

753.6 = 16πh

Dividing both sides by 16π, we get:

h = 753.6 / (16π)

Using 3.14 for π, we can calculate:

h = 753.6 / (16 x 3.14)

h ≈ 15 centimeters

Therefore, the height of the can is approximately 15 centimeters.

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The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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The volume (V) of a cylinder with radius (r) and height (h) is:

Given the values of radius and height:

r = 8 cm

h = 11 cm

To find V, substitute the "r" and "h" in the equation.

The volume of the cylinder is 704π cm².

Required methods are (a) can be easily solved by factoring, (b) can be easily solved by completing the square, and (c) will require the quadratic formula to solve.

To determine which method is most suitable for solving a quadratic equation, we need to consider the coefficient values of the equation. If the coefficient of x² is 1, then the equation can be solved by factoring, as it is easier to factorize. If the coefficient of x² is not 1, then we need to complete the square to solve it. Completing the square is a suitable method for solving quadratic equations with a coefficient value other than 1. If the equation is not easily solvable by factoring or completing the square, we use the quadratic formula to solve it. Therefore, (a) can be easily solved by factoring, (b) can be easily solved by completing the square, and (c) will require the quadratic formula to solve.

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From the problem, we have :

Subtract 1 to both sides of the equation :

Square both sides :

Note that the imaginary number i = √-1

and i^2 = (√-1)^2 = -1

We can replace the right side of the equation as :

The answer is i^2

Answer:

17 units

Step-by-step explanation:

Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular

There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.

Using Pythagoras' identity in this right angle

r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )

r = \(\sqrt{289}\) = 17

Answer:

25%

Step-by-step explanation:

m perpendicular to q is the correct answer

Answer:

A, C and D

they all connect at a right angle. it is not b because p and q are parallel.

Answer:

158.33cm^3

Step-by-step explanation:

The volume formula for a square based pyramid is:

V=a^2(h/3)

This is where a is the length of the base edge, and h is the height.

That said, given the information in our question, we can simply plug our values in.

V=(5^2)(19/3)

Simplify

V=25(19/3)

V=475/3

V≈158.33

Volume is expressed in cubic units, so our final answer is V=158.33cm^3

Answer:

(3x,3y) if you're representing the dilation from A' -> A

Step-by-step explanation:

I think that it would be (3x, 3y) bc the original point was dilated by 1/3 (3 x 1/3 = 1, 9 x 1/3= 3), so I'm wondering which dilation it specifies for exactly, b/c if its for A', then the answer would be Betty. Hope this helps somewhat tho

Answer:

59,850

Step-by-step explanation:

cost: 57,000

what is 5%?

57,000 * .05 = 2,850

so, add the cost and tax together

57,000 + 2850 = 59,850

Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.

Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.

There are several ways to score 3 of the 4 free throws.

Miss Hit Hit Hit

Hit Miss Hit Hit

Hit Hit Hit Hit Hit

So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.

Hence, Eve had to make 42 free throws for getting 27 throws are mied.

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The area is increased by  204  ft².

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Initial length l= 4 ft

Initial width l= 17 ft

Area = l*w = 4*17 = 68 ft²

When length and width of the rectangle are doubled:

l=2*4=8 ft

w= 2*17= 34 ft

Area= 8*34= 272 ft²

Difference = 272 - 68 = 204  ft²

Thus, the area is increased by  204  ft².

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Answer:

144.78cm

Step-by-step explanation:

4ft 9in is 57 inches

so 57x2.54 is 144.78

Answer:

Mario is 12.446 cm

Step-by-step explanation:

Answer:

The second one, the third one.

Step-by-step explanation:

Answer:

The answer is 81

Step-by-step explanation:

b = 9

9 X 9 = 81

Answer:

If b=9 then b*9= 9*9=81

Step-by-step explanation:

Answer:

the Answer is B 107⁰ its 180⁰-73⁰

Answer:

Fractional Expression for how much each person pays = (64.04/4)

Each person pays $16.01.

Step-by-step explanation:

Complete Question

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

The total of the bill is $64.04 and there are 4 people splitting the bill.

Solution

Total amount to be shared equally by 4 persons = $64.04

Fractional Expression for how much each person pays = (64.04/4)

Long division method to do this division.

     16.01  

4 | 64.04

      4  

    24

    24

      00

    0

    04

      4

    0

Each person pays $16.01.

Hope this Helps!!!

The limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

In this series, each term consists of the expression (5n⁵) divided by (\($4n^{5.5}$\)). We can simplify this expression by canceling out common factors:

\(\(\frac{{5n^5}}{{4n^{5.5}}} = \frac{5}{4} \cdot \frac{{n^5}}{{n^{5.5}}} = \frac{5}{4} \cdot \frac{1}{{n^{0.5}}} = \frac{5}{{4n^{0.5}}}\)\)

Now, let's analyze the behavior of the terms as n approaches infinity. As n increases, the denominator \($n^{0.5}$\) grows larger while the numerator remains constant. Consequently, the value of each term approaches zero.

Since the series consists of an infinite sum of terms approaching zero, the sum of the series also approaches zero as the number of terms increases.

Therefore, the limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

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Answer:

14

Step-by-step explanation:

THE ANSWER TO THE PROBLEM IS 14

Answer:

\(\frac{2}{3} \sqrt{3}\)

Step-by-step explanation:

We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.

The side opposite to the 90 degree angle is 2 times of x.

The side opposite to the 60 degree angle is \(\sqrt{3}\) multiplied x.

We know the side opposite to 60 degree angle is 2, so x would be

\(\frac{2}{\sqrt{3}}\)

However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:

\(\frac{2}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}\)

which gives us \(\frac{2}{3} \sqrt{3}\)

I'm sorry that you don't understand this question but sadly I am unable to help since I don't understand this question and what is going on.