Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:

Answer:

Option B

Step-by-step explanation:

Given the following question:

[tex]5^2\times5^4[/tex]

In order to find the answer, we simply apply the exponent rule and add the exponents.

[tex]5^2\times5^4[/tex]
[tex]2+4=6[/tex]
[tex]=5^6[/tex]

The answer is option B or "5^6."

Hope this helps.

Answer:

Step-by-step explanation:

Divide 5 percent by One Hundred,

5/100 = 0.05

Multiply 0.05 by 64

0.05x64= 3.2

Step-by-step explanation:

okay hold up a sec

Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

Answer:

Note: Any number or variable(unknown) raised to the index or power zero (0)* is equal to one (1)*.

3. Solution

Given: x = 2 and y = 5

-4x^-2 + 3y^0

by substituting the values of x and y,

> -4(2)^-2 + 3(5)^0

> -4/(2)^2 + 3(5)^0

> -4/4 + 3(1)*

> -1 + 3 = 2

4. Solution

Given: x = 2 and y = 5

2x^0y^-2

by substituting the values of x and y

> 2(2)^0(5)^-2

>2(2)^0×1/(5)^2

>2(1)×1/25

>2×1/25

>2/25

Answer:

[tex]\frac{7}{3} =2\frac{1}{3}[/tex]

Step-by-step explanation:

For the problem:

[tex]\frac{5}{3} +\frac{4}{6} = ?[/tex]

The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

[tex]\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}[/tex]

Now that the fractions have like denominators, add the numerators:

[tex]\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}[/tex]

The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

[tex]\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}[/tex]

7 ÷ 3 = 2R1, therefore:

[tex]\frac{7}{3} =2\frac{1}{3}[/tex]

x=224/8

x=25+3=28

So: 28

Answer:

62°

Step-by-step explanation:

Angle KPO = 90°. If you add angles KPN and NPO together, you will get 90°. Set up an equation and solve for x.

2x + x - 3 = 90

3x - 3 = 90

3x - 3 + 3 = 90 + 3

3x = 93

3x/3 = 93/3

x = 31

Now solve for the measure of KPN by substituting 31 for x.

KPN = 2x

KPN = 2(31)

KPN = 62°

Answer:

D 62

Step-by-step explanation:

Good luck

Answer:

5 over 13

Step-by-step explanation:

adjacent over hypotenuse use trigo rules

(Toa Cah Soh)

Answer: 12/13

Step-by-step explanation:

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x  is donated where x is the number of donations

The total of donations is 25500.00

Add the donations  times the dollar amount  for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

Answer:

that guys smart

Step-by-step explanation:

Answer:

x = 2, y = -3

Step-by-step explanation:

Add them together and get

9x + 8y - 9x - 9y = -6 + 9

-y = 3

so y = -3.

Sub it into the first equation and get

9x + 8(-3) = -6

9x - 24 = -6

9x = -6 + 24 = 18

x = 18/9 = 2

Answer:

ready. took me 2 minutes

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

Answer:

120/97

Step-by-step explanation:

When you're turning a mixed fraction into an improper fraction, you keep the denominator (bottem number) the same, but you times the numerator (top number) by the whole number (non-fraction number/left number)

6 * 20 = 120

Therefore it should be 120/97

This can not be simplified though (if I recall)

Answer:

4k - 8

Step-by-step explanation:

Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.

Hope this helps!

Answer: x = -8

Step-by-step explanation:

Move all terms that don't contain x to the right side and then solve

Answer:

1¹/₈ hours

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

Step-by-step explanation:

Answer:

m=7 z=-12

Step-by-step explanation:

expand brackets:

8m+24=5m+45

Change sides:

8m-5m=45-24

3m=21

m=7

z-6    =  3

2z         4

Coss multiply:

4z-24=6z

4z-6z=24

-2z=24

Divide both sides by -2:

z=-12

The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet

Given Data

Length of Fence = 50 feet

Largest Whole number Radius = ??

In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.

We know that the expression for the perimeter of a circle is given as

Perimeter of Circle = 2πr

From here we can solve for the Radius r

50 = 2*3.142*r

50 = 6.284r

divide both sides by 6.284

r = 50/6.284

r = 7.956 feet

r = 8 feet

Learn more about circle here:

https://brainly.com/question/24375372

Answer:

isosceles triangle

Step-by-step explanation:

An isosceles triangle has 2 congruent sides

The triangle described here has 2 congruent sides of 8 cm

The triangle is isosceles

Answer:

if 2x-1 is a factor of the polynomial f(x)= 8^3 +4^2+kx+15 where is a constant find the value of k and factorise f(x) completely when k has this value

Answer:

The constant of proportionality is [tex]k=\frac{7}{9}[/tex]

Step-by-step explanation:

Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.

Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.

Answer:

1. This is a Quadrilateral.

(There're 4 sides)

2. This is a Pentagon.

(There're 5 sides)

The first polygon is a quadrilateral.

The second polygon is a pentagon.

Polygons are  flat or plane, two-dimensional closed shape with straight sides.

Polygons are classified base on the number of side they possess. For example polygon with 4 sides are called quadrilaterals, the ones with 8 sides are referred to as octagons.

Therefore, the  polygons above have 4 sides and 5 sides respectively.

The polygon with 4 sides is know as a quadrilateral.

The polygon with 5 sides is known as a pentagon

learn more on polygons here: https://brainly.com/question/7921826

Answer:

Their angles are equal and the sides are the same ratio

Step-by-step explanation:

Hope this helps (doesn't need much explanation)

Answer:

37.5%

Step-by-step explanation:

let 15 is X % of 40,

now,

x% of 40 =15

or,X/100 ×40 =15

or,X=(15×100)/40

or,X=1500/40

orX=37.5%

Answer:

Prime numbers:

11, 61, 43, and 29.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

For example:

13 has only two factors, itself and 1. So, it is a prime number.

4 has three factors, itself, 1, and 2. So, it is not a prime number.

Your other answers are correct.

Hope this helped!

Answer:

  (b)  16 ft²

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h . . . . . where b1, b2 are the base lengths, h is the height

Using the values shown on the diagram, we find the area to be ...

  A = 1/2(3 ft + 5 ft)(4 ft) = (1/2)(8 ft)(4 ft) = 16 ft²

The area of the trapezoid is 16 ft².

Answer:

31

Step-by-step explanation:

hope this helps