There were 15 zebras at the children’s zoo. There were 2 more monkeys than zebras. There were 5 less goats than monkeys. How many zebras , goats , and monkeys altogether?

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0,6

Answer:

8x + 20 or 4(2x + 5)

Step-by-step explanation:

Perimeter equals length + width times 2. If the width is 3x + 4, and the length is x+6, you first add 3x + 4 + x + 6. You first add the like terms, 3x and x, which is 4x. Now you add 4 and 6, which equals ten. Now, you get 4x + 10. Lastly, you have to multiply it by two. 4x + 10 + 4x + 10 equals to 8x + 20. You add up the like terms 4x and 4x and 10 and 10, to get the total of 8x + 20.

The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]p=a\times b[/tex]

Here, (a, b) are the real numbers.

The binomial equation given in the problem is,

[tex]a+ 3[/tex]

The second equation given in the problem is,

[tex]-2a^2 +15a+ 6b^2[/tex]

The product of these two equations are,

[tex]p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2[/tex]

Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

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Answer:

OPTION C

−2a3+9a2+45a+6ab2+18b2

Step-by-step explanation:

100 on edg im swag like tht

Answer:

∠S = 58°

Step-by-step explanation:

RA = AD

∠BAD = ∠SRA

∠BAD + ∠RAB = straight line, 180° (supplementary angles)

Solve for x

∠BAD + ∠RAB = 180°

(6x + 8) + (9x + 7) = 180°

15x + 15 = 180

15x = 165

x = 11

Find ∠S

∠S = 4x + 14

∠S = 4(11) + 14

∠S = 44 + 14

∠S = 58°

I hope this helps!

Answer:

Mario's unit rate is 900

Step-by-step explanation:

hooe this helps

Answer:

4mi/hr

Step-by-step explanation:

Mario's walking rate is (2/3mi)/(10min)

Convert minutes to hours:

(2/3mi)/(10min)  *  (60min)/(1hr) =

(2/3mi*6min)/hr=

4mi/hr

Answer:

Please see the analysis below.

Step-by-step explanation:

Answer:

A) 3 1/2

Explanation:

[tex]\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

rewrite the following

[tex]\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{7*4}{8}[/tex]

multiply

[tex]\hookrightarrow \sf \dfrac{28}{8}[/tex]

simplify the following

[tex]\hookrightarrow \sf \dfrac{7}{2}[/tex]

turn into mixed fraction

[tex]\hookrightarrow \sf 3\dfrac{1}{2}[/tex]

Answer:

[tex]\dfrac{7}{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{7}{8} \div \dfrac{1}{4}[/tex]

Simplify the expression:

[tex]\implies \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

[tex]\implies \dfrac{7 \div 1}{8 \div 4}[/tex]

[tex]\implies \dfrac{7}{2}[/tex]

The equivalent expression to given expression 1/a⁷ is a⁻⁷. So, correct option is A.

The equivalent expression to 1/a⁷ can be found using the rule of exponents.

The rule states that when a non-zero number is raised to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent.

In this case, the expression 1/a⁷ has a negative exponent, which means it can be written as the reciprocal of a raised to the positive exponent:

1/a⁷ = a⁻⁷

So, the correct equivalent expression is option a) a⁻⁷.

Option b) 7ᵃ is not equivalent to 1/a⁷. 7ᵃ means "7 raised to the power of a," which is different from 1/a⁷.

Option c) None of the above is also not correct because option a) a⁻⁷ is indeed the equivalent expression to 1/a⁷.

In summary, the equivalent expression to 1/a⁷ is a⁻⁷, which is option a).

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Complete question is:

Select the equivalent expression,1/a⁷=?

a) a⁻⁷

b) 7ᵃ

c) None of the above

Based on the data given on the amounts Chris and Sam are paid, we can infer that Chris earns $0.75 more per hour than Sam.

Chris earns $8.25 an hour according to the equation that shows how he is paid of y = 8.25x.

The amount earned by Sam can be found as:

= Any value of y / Corresponding value of x

= 30 / 4

= $7.50 per hour.

The difference between their pay is:

= 8.25 - 7.50

= $0.75

In conclusion, Chris earns $0.75 more.

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The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively.

In this question we must analyze periodic functions to determine the most appropriate model that best fit with the graph, the determination of the model will determine the inherent characteristics of the model. The graph seem to be a sinusoidal function.

Sinusoidal functions are bounded functions characterized by use of trigonometric expressions and the presence a lower and a upper bound, a period and phase. The entire formula is described below:

y = r + 0.5*(M-m) · sin [2π · (x-F)/T]     (1)

Where:

The period is the time in which a sinusoidal function completes a cycle and the phase is a horizontal translation applied to a canonical sinusoidal function.

If we know that r = 5, m = 2, M = 8, T = 8 and F = -2, then the sinusoidal function is:

y = 5 + 3 · sin [π · (x+2)/4]

The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively. [tex]\blacksquare[/tex]

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Answer:

hello ace!

we can talk on this answer since that person wont leave the other one =-=

also im not sure sorryy

Step-by-step explanation:

Answer:

hypotenues =base square + height square then squareroot answer

Answer:

B.) y = 5x

Step-by-step explanation:

The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.

First point: (1,5)      Second Point: (-2,-10)

y₁ - y₂ = m(x₁ - x₂) -----> (y₁ - y₂) / (x₁ - x₂) = m  

(5 - (-10)) / (1 - (-2)) = m

(15) / (3) = m

5 = m

The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.

Point: (-2,-10)            Slope: 5

mx + b = y

5(-2) + b = -10

-10 + b = -10

0 = b

After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five

Answer:

366 cm^3

Step-by-step explanation:

V = lwh

1st rectangle (L) = 3 x 6 x 15 = 270 cm^3

2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3

270 + 96 = 366 cm^3

Hope this helps

Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

The solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.

To obtain the solution of an equation, the similar terms should be arranged together and then mathematical operation need to be performed to simplify it.

The equation which is provided to solve is,

[tex]2x - 3 +4x = 21[/tex]

To solve this equation, arrange the like terms as,

[tex]2x - 3 +4x = 21\\2x +4x - 3 = 21\\6x-3=21[/tex]

Add number 3 both side of the equation as,

[tex]6x-3+3=21+3\\6x=24[/tex]

Divide both side of the equation with number 6, we get,

[tex]x=\dfrac{24}{6}\\x=4[/tex]

Hence, the solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.

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Answer:

the value of n is 9

Step-by-step explanation:

7:2=each interior angle/each exterior angle

7:2= (n-2)180/360

7/2=(n-2)/2

14=2n-4

2n=18

n=9

Answer:

250

Step-by-step explanation:

1. Find the total amount of people interviewed

You asked 15 students over 4 periods of lunch. That means you have to multiply:

15 x 4 = 60. You asked 60 people total.

2. Solve

You know that 25 people chose pizza out of the 60 people that you interviewed. That would make a fraction: 25/60

Now, there are 600 people, and the question is asking you how many people will get pizza based on the ratio of 25/60

So, in this case, 25/60 = x/600

You have to multiply 60 by 10 to get 600 as your denominator.

So, similarly, you have to multiply 25 by 10 to keep the same ratio.  

25 x 10 = 250

Hence, 250/600 people will buy pizza.

Hope this helps,

-jp524

Answer:

>

Step-by-step explanation:

110% of 3 is 3.3

0.9% of 300 is 2.7

Hence, 110% of 3 is > then 0.9% of 300

Answer:

5.5 hours

Step-by-step explanation:

1. Understand

A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?

a. What is asked?  How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph

b. What are the given facts?

Current Speed = 40 mph

New Speed = 40 mph + 50% of 40 mph

Distance = 330 miles

2. Plan

Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time

What is the formula to solve the problem?

Distance = Speed x Time

3. Solve

Show your solution.

Original Speed = 40 mph

New Speed = 40 + (0.5)*(40):  New = 60 mph

Time at New Speed is:

Distance = Speed x Time

330 miles = (60 mph)*(Time)

Time = (330 miles)/(60 miles/hour)

Time = 5.5 hours

4. Check

Distance = Speed x Time

How far does a person travel going 60 miles/hour for 5.5 hours?  Is it 330 miles?

Distance = (60 mph)*(5.5 hours)

Distance = 330 miles

YES

Answer:5,200ft and 145in is less than a mile and 40in

Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212

Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212

Hope this Helps!

Answer:

36   1/2bh=   12*6/2

24   4+8+12

Step-by-step explanation:

Answer:

if 41 is 100% of 41, then divide 41 by 0.30 to get 136.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be 'x'

0.30% of x = 41

[tex]\sf \dfrac{0.30}{100}*x = 41\\\\ x = 41*\dfrac{100}{0.3}[/tex]

x = 13666

Answer:

Step-by-step explanation:

They have the same amount

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

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[tex]f(x)=3x+2\\\\f(5)=3(5)+2 =15+2=17[/tex]

Answer:

D

Step-by-step explanation:

f(g(x)) = x when the two functions are inverses

A. f(g(x)) = 2/((x+6)/2) - 6 = (4/(x+6)) - 6 = (4 - 6x - 36)/(x+6) = -(6x+32)/(x+6), wrong

B. f(g(x)) = [tex]\frac{\sqrt[3]{5x^{3} } }{5}[/tex] = x[tex]\frac{\sqrt[3]{5} }{5}[/tex], wrong

C. f(g(x)) = (3x-4)/3 + 4 = x + (8/3), wrong

D. f(g(x)) = 2((x+9)/2) - 9 = x

Answer:

Yes

Step-by-step explanation:

[tex]\sqrt{\frac{2x}{9} }={\frac{\sqrt{2x} }\sqrt{} {9} } =\frac{\sqrt{2x} }{3}=\frac{1}{3}\sqrt{2x}[/tex]

The coordinates of point Q is the location of point Q in the parallelogram

The coordinates of point Q is (2b + 2a,2c)

The coordinates are given as:

P(2b, 2c) Q(?, ?)  S(0, 0) R(2a, 0)

Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.

The distance RS is calculated as:

RS = (2a - 0, 0 - 0)

This gives

RS = (2a, 0)

The coordinates of  Q is then calculated using:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

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