The local zoo nurses 15 species of cats. Last week, several species of cats were moved to other zoos due to lack of funding. The zoo now nurses only 7
species.
Let x represent the number of cats.
Which equation models the scenario?
x 7 = 15
x + 7 = 15
15 + x = 7
15-x = 7

Answer:

Step-by-step explanation:

You want the primary trig functions of angle H in right triangle FGH with sides FG=12, GH=9, FH=15.

The mnemonic SOH CAH TOA is intended to help you with problems like this. Its purpose is to remind you that ...

With respect to angle H, the sides are ...

Then the values you want are ...

  sin(H) = 12/15 = 4/5

  cos(H) = 9/15 = 3/5

  tan(H) = 12/9 = 4/3

B, C, E

--5 + 0 does not equal zero

--any value tomes zero equals zero

--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1

--2/3(5/9) = 10/27 not 7/12

--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666

Answer:

B, C, and E

Step-by-step explanation:

A is incorrect because any number plus zero results in that number, not 0.

         In equation form: [tex]x + 0 = x[/tex]

B is correct because any number multiplied by zero results in 0.

         In equation form: [tex]0(x) = 0[/tex]

C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.

[tex]1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1[/tex]

D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.

E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:

[tex]4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}[/tex]                [tex]5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}[/tex]

[tex]\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}[/tex]

Answer:

D.Sam he rides 14.5 meters per second which is over a meter per second faster than kevin

Step-by-step explanation:

Kevin:

Distance = 600m

Time = 45s

Speed = Distance/time = 600/45 = 13.33m/s

Sam:

Distance = 800m

Time = 55s

Speed = 800/55 = 14.54m/s

Therefore option D will be the answer

Answer:

see below

Step-by-step explanation:

memorize the following formula:

V = 1/3 * lenght * width * height = 1/3 * 3*6*4 =24

Answer:

27 and 13

Step-by-step explanation:

let the second number be x then the first number is x - 14

sum the 2 numbers and equate to 40

x - 14 + x = 40

2x - 14 = 40 ( add 14 to both sides )

2x = 54 ( divide both sides by 2 )

x = 27

x - 14 = 27 - 14 = 13

the first number is 27 and the second number is 13

Answer:

Equation: y = 1800 - 120x

Step-by-step explanation:

y = 1800 - mx           Where x = months after purchase of computer

                                            y = balance remaining

1800 = y-intercept because this is your initial balance remaining as it is the actual price of the computer.

The coefficient of ‘m’ will be negative for this equation because the value of y decreases as x increases. (NOTE:  y is NOT indirectly proportional to x as the line of the equation does not pass through the origin)

Next step is to determine 'm’:

m = slope of equation

Two sets of x and y values have been provided:

[tex](x_{2}, y_{2}) = (3, 1440)[/tex]

[tex](x_{3} ,y_{3})= (6, 1080)[/tex]

Use any set and substitute in the slope-intercept equation to determine the value of m:

1080 = 1800 - 6m

All the like terms are brought together and m needs to be isolated:

6m = 1800 - 1080

6m = 720

m = [tex]\frac{720}{6}[/tex]

m = 120

Therefore:

y = 1800 - 120x

Answer:

There are 18 more boys than girls.

Step-by-step explanation:

Let's think of the ratio 3 : 1 as 3x : x

If 3 : 1 added up is the total students in the class (36) then 4x = 36

Now we just divide 36 by 4

36/4 = 9

so x = 9

The number of boys is 3 * 9 = 27

The number of girls is 9

27 - 9 = 18.

There are 18 more boys than girls.

Answer:

There are 18 more bots than girls.

Step-by-step explanation:

total units=3+1

=4

4 units=36

1 unit=36÷4

=9

difference in units=3-1

=2

2 units=2×9

=18

The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. This is equal to 0 since α is a positive number.

The probability that the postman is never bitten by a dog is given by P(X > n), where X is the number of days until the postman sustains his first bite. This probability can be expressed as the product of all of the qi's from i=1 to n, which is equal to (1-α)^n, where qn = α for all n, and 0 < α < 1. The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. Since 0 < α < 1, (1-α)^∞ is equal to 0, meaning that the probability that the postman is never bitten by a dog is 0. This is because as n increases, the probability that the postman is not bitten by a dog on Day n decreases, and as n approaches infinity, it approaches 0.

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Answer:

15.4 min

Step-by-step explanation:

rate = liters/min = 2.5 l/min

time = liters/rate = 38.5 l / (2.5 l/min) = 15.4 min

The solution to the inequality 50 - 8f < 90 is f > -5

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Inequality is an expression that is used to show the non equal comparison of numbers and variables

Given the equation:

50 - 8f < 90

subtract 50 from both sides:

50 - 8f - 50 < 90 - 50

-8f < 40

Divide both sides by -8:

-8f / -8 < 40 / -8

f > -5

The solution to the inequality is f > -5

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Answer:

Step-by-step explanation:

4.1.1 "I am fifty years old" is an example of a discrete variable, as age is typically measured in whole numbers, not fractions or decimals.

4.1.2 "I can drink 400.5 ml of juice in a minute" is an example of a continuous variable, as the amount of juice consumed can be any value along a continuous range of possible values, including fractional amounts.

4.1.3 "I have 2 brothers and 1 sister" is an example of a discrete variable, as the number of siblings is typically measured in whole numbers.

In summary, 4.1.1 is a discrete variable, 4.1.2 is a continuous variable, and 4.1.3 is a discrete variable.

Therefore , the solution of the given problem of graph  comes out to be about 5,000 .

To rationally chart or graphically portray events or quantities, academics use graphs. A chart point is a typical tool for showing how various variables interact. Nodes, also known as vertices and lines, make up the non-linear storage arrangement known as a graph. The borders, also referred to as nodes, should be joined together using glue. (4.5) Visualizations, such as flowcharts, graphs, and bar graphs, that graphically depict explosive development within data.

Here,

Based on the graph,

it appears that in 2010, about 5,000 women were involved in accidents while riding in a two-wheeler.

Therefore , the solution of the given problem of graph  comes out to be about 5,000 .

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The distance of barn B from the north end of pipe 27 is 258 ft to the nearest foot.

Let's call the distance from Barn B to the north end of pipe 2 as "d".

The distance from the barn to the south end of pipe 1 is 111 ft, the distance from there to the south end of pipe 2 is 23 ft, and the distance from the barn to the north end of pipe 1 is 127 ft.

So the total distance from barn B to the south end of pipe 2 is 111 + 23 = 134 ft.

Since the distance from barn B to the north end of pipe 1 is 127 ft, then the distance from the north end of pipe 1 to the north end of pipe 2 is d - 127 ft.

Since the distance from barn B to the south end of pipe 2 is 134 ft, then the distance from the south end of pipe 2 to the south end of pipe 1 is 134 - d ft.

Now, two right triangles with legs (d - 127) ft and (134 - d) ft.

By the Pythagorean Theorem, we have: (d - 127)² + (134 - d)² = 25²

Expanding and simplifying the equation gives us:

d² - 260d + 17296 = 625

d² - 260d + 16671 = 0

Using the quadratic formula:

d = (260 ± √(260² - 4 x 16671)) / 2

d = (260 ± √(677600 - 66768)) / 2

d = (260 ± √(61032)) / 2

d = (260 ± 246.9) / 2

d = 258 ± 123.5

So, the distance from barn B to the north end of pipe 2 is 258 ft or 381 ft.

Since the question asks to round the answer to the nearest foot, we can conclude that the answer is 258 ft.

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Answer:

19%

Please mark it the brainiest.

Answer:

two plus two equals five

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

He spent (8500+ 1500) = 10 000   then sold it for 2000 MORE
Profit = 2000 / 10 000   * 100% = 20%

The real interest rate is the interest rate that has been adjusted for inflation.

By reducing the principal by both the interest rate, by duration of time, and other factors, simple interest is derived. Simple return = principal plus interest plus hours is really the concept used in marketing. The easiest way to compute tax is by using this procedure. The most typical method of calculating income is as a portion of the outstanding sum. For illustration, if he borrows $100 from a buddy and pledges to pay back the loan at 5% interest, he will just pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you should pay interest, and you must collect interest when they lend it. Typically, interest is computed as a percentage of the loan total. The loan's interest is the name given to this percentage.

given

The interest rate charged on a loan expressed in dollars is called the nominal interest rate. The interest rate after accounting for inflation is known as the real interest rate. The nominal interest rate less the inflation rate equals the real interest rate.

The price of the candy bar increased sixfold while the total price level doubled, resulting in a threefold increase in the candy bar's real price (price adjusted for inflation).

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Answer:

Below

Step-by-step explanation:

1 qt = .9463529 L

3 Qt  * .9463529 L/Qt  = 2.84 Liters

The new route will require the oil to travel 28 extra miles, for a total of 60 miles.

Miles is unit of distance that is commonly used in mega the distance between 2.1 map of the link of that is divided for the letting word measurements. It is sometimes also referred to as as statute mile.

This is because the old route was 32 miles long and the new route is 60 miles long. This means that the extra distance traveled is 28 miles. The extra distance is necessary to ensure that the pipeline does not interfere with the wildlife preserve.

One can determine distance in miles assuming that you already understand the speed and the time it takes to travel a specific distance. Easily calculate the time by the speed. For example - A automobile travelling at 64 miles per hour for two hours will have driven 130 miles.

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Answer: C. x>6

Step-by-step explanation:

2x-5 >7 (Move the constant to the right)

2x >7+5 (Calculate)

2x >12 (Divide both sides by 2)

x> 6 Answer

Answer:

Step-by-step explanation:

You want to know the Social Security and Medicare taxes on an annual income of $122,300, given the respective tax rates are 6.2% and 1.45%.

The income is less than the Social Security maximum of 128,400, so the 6.2% tax applies to the full amount. Each tax amount is found by multiplying the income by the tax rate:

  SS: $122,300 × 0.062 = $7582.60 . . . . Social Security tax

  Med: $122,300 × 0.0145 = $1773.35 . . .Medicare tax

Answer: The expression Y = 4 / (x + sqrt(x) + 0.2) - 5x represents a mathematical function that maps values of x to values of Y. The input x represents the independent variable and Y represents the dependent variable. For any given value of x, the expression calculates the value of Y.

Step-by-step explanation:

Answer:

0.2060

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

First, multiply both the numerator and the denominator by 1000.

[tex]\frac{1.942}{9.43}[/tex] × 1000 = [tex]\frac{1942}{9430}[/tex]

Now, reduce the fraction to lowest terms. (Extract and cancel out 2.)

[tex]\frac{971}{4715}[/tex]

Convert to decimal.

[tex]\frac{971}{4715}[/tex] ≈ 0.205938494

Round to 4 decimal places.

0.2060

Therefore, 1.942 ÷ 9.53 = 0.2060

An expression for the product (√6)(‾‾‾√15)without a perfect square factor in the radicand is -3√10. Option A

It is important to note that surds are expressions that includes a square root, cube root or any other root symbol.

They are used to write irrational numbers  because the decimals of irrational numbers do not  recur, they cannot be written  in decimal form.

From the information given, we have the surds;

(√6)(‾‾‾√15)

expand the bracket, we get;

-√90

Find the square root of the value and allow others in radical forms, we get;

- √9 × √10

Find the perfect square, we get;

-3√10

Hence, the value is -3√10

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The graph of the function g(x) = a |x| includes the point (1, 16). (-1, 16) is another point on the graph of the function.

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.

Given that,

g(x) = a |x|

In a absolute value graph the value of y is the same in -x and x.

Then if the coordinates (x,y) one point is (1, 16), the graph have another point in (- 1, 16).

To find the value of a you use one of the points (x,y) in the general form of absolute value:

( 1 , 16) x = 1 f(x) = y = 16

16 = a | 1 |

As, |±a| = a

we get:

16 = a . 1

then, a = 16

The equation for the graph with points (1 , 16) and ( -1, 16) is:

g(x) = 16 |x|

a = 16

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Answer:

1; can't say for certain

2: well, the chances of getting a yellow starburst are 1/8th but those are immediately increased depending on how many packs you buy though I can't say for certain how much because I do not know the variable of how many you may possibly buy.

3; the chance of getting 2 yellows in a pack are 1/8ths or 1/16ths as for there's a 1/8th chance of getting one yellow in a pack.

4,5,6;well, considering orange seems most abundant there would be at least a 3/4ths chance of getting orange a 2/4ths chance of getting pink and for the other colors a 1/4th chance of getting yellow or red

Step-by-step explanation:

Answer:

Let x be the number of tickets sold.

Jaelyn's account balance after selling tickets: 150 + 58x

Erik's account balance after selling tickets: 480 + 6x

For both accounts to have the same amount, we set their balance equal to each other and solve for x:

150 + 58x = 480 + 6x

52x = 330

x = 330/52 = 6.25

So 6.25 tickets had to be sold before both accounts had the same amount of money.

If the arrow on spinner is spun once, then the probability that the arrow do not stop on number which is divisible by 3 is (c) 3/4.

We know that the spinner contains 8 numbers and each number is equally likely to be selected. Out of the 8 numbers, the numbers which are divisible by 3 are {3, 6}.

So, the numbers which are not-divisible by 3 are {1, 2, 4, 5, 7, 8},

We select one of the 6 numbers that are not divisible by 3 out of the total 8 numbers. so, the probability is :

⇒ Probability = (Number of favorable outcomes)/(Total number of outcomes),

⇒ Probability = 6/8,

⇒ Probability = 3/4,

Therefore, the correct option is (c).

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