NIE
VIEW
(Score for Question 3: of 5 points)
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:

Across

1 compass

2 shape

4 two pi to one

6 Pie x radius squared

8. arc

10 Point

11 radius

12 circumference

down

1 Chord

4major arc

5 Radii

7 degrees

9.circle

13 equidistant

hope this helps

Answer:

in the picture

Step-by-step explanation:

in the picture

Answer:

6.4 = b     and     7.8 = a

Step-by-step explanation:

Using the formula:

a^2 + b^2 = c^2

we can find the length of b

for the first triangle

now we just plug in the lengths.

5^2 + 4^2 = b^2

simplify into :

25 + 16 = b^2

add

41 = b^2

now in order to get rid of the ^2, we just find the square root of 41.

√41 ≈ 6.4

6.4 = b

Now we just need to solve for A

since we know

a^2 + b^2 = c^2 that must mean

c^2 - b^2 = a^2

so this is the formula we will be using.

now we just plug in the lengths of the second triangle into this equation.

10.5^2 - 7^2 = a^2

simplifies into

110.25 - 49 = a^2

subtract

61.25 = a^2

now we just find the square root of 61.25.

√61.25 = 7.8

7.8 = a

you can check this by putting it back in the formula

a^2 + b^2 = c^2

I will do this quickly (only for the second triangle)

we know

a = 7.8

b = 7

c = 10.5

7.8^2 + 7^2 = 10.5^2

simplifys into

60.84 + 49 = 110.25

60.84 + 49 ≈ 110

110.25 ≈ 110

110 = 110

which proves that this is correct.

Answer: Choice C and Choice D

========================================================

Explanation:

Answer:

[] Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.

[] Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.

Reasoning:

[✗] The first story, with Diego, does not work because the whole is $1 in the problem and $7 in the diagram.

[✗] The second story, with Elena, does not work because the 7 is ignored entirely and the x becomes a known value, 57.

[✓] The third story, with Noah, does work because he splits seven grapes equally among three friends (the x's) and eats one.

[✓] The fourth story, with Andre, does work because 7 hours were spent studying. One on English and the rest (three subjects) split evenly (x).

[✗] The fifth story, with Lin, does not work because the total is $3 when it should be 7.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

To solve for e, divide 10 from each side.. 1 divided by 10 e=0.1

Answer:

A

Step-by-step explanation:

(6-2)/(5+2)

4/7

Answer:

4/7              6 -2/2+5 = 4/7

simple

Step-by-step explanation:

Parallelogram formula: [tex]A=b(base)h(height)[/tex]

The value 6 is meant to trick you.

The height is 7, and the base is 10 1/4.

Multiply the base and height:

[tex]7 \times 10\frac{1}{4} = 71\frac{3}{4}[/tex]

The area equals: [tex]71\frac{3}{4}[/tex] [tex]ft^{2}[/tex]

Answer:

2) D

because:

[tex] \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4[/tex]

4) B

because:

[tex] \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8[/tex]

Answer: PART A.

y= remaining height of candle

x= rate the candle burns down in inches per hour

8= original height of candle

the function would be y=8- 0.5x because the candle starts at a height of 8 feet and loses half an inch per hour.

You can use this function to create ordered pairs by putting in number at x which indicates the time:

x=1

y=8- (.5×1)= 7.5

(1, 7.5)

you can then do this for other numbers and get:

(2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)

PART B.

This equation is a function because all of the x-values had different y-values as seen in the coordinates (1, 7.5) (2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)  

PART C.

If the rate was 0.4 inches an hour, it would still be a function because the rate is the only thing that changed making the new function y= 8- 0.4x.This equation would make coordinates of (0,8) (1, 7.6) (2, 7.2) (3, 6.8) and so on with each x value creating a different y value.

Step-by-step explanation: hope this helps

Step-by-step explanation:

area of the trapezoid = area of the 2 triangles +

area of the rectangle

i) area of triangle on left:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

ii) area of triangle on right:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

iii) area of rectangle = length × width

a = l × w

a = 12 × 9

a = 108 in²

iv) area of trapezoid = 9 + 9 + 108

= 126 in²

hope this helps you!

-s.

Answer:

Step-by-step explanation:

One off fee is 120 Dirhams and weekly charge is 200 Dirhams.

The equation for this relation is:

Answer:

[tex]x {}^{2} - 5x = - 3 \\ x( x - 5) = - 3 \\ x = - 3 \\ x - 5 = - 3 \\ x = 2[/tex]

part one is the first pic the second part is the one that starts with the result.

Answer:

2

Step-by-step explanation:

5x0.4=2

.4x2=5

Answer:2 pounds

Step-by-step explanation:
Multiply 5 with .4

Answer:

Any points across y=5. ex: (-2,5) (0,5) (1,5), (3,5) (4,5)

Step-By-Step Solution

(3y=15)/3 divide all by 3

and get y=5

any 5 points that gave y=5 will work

Answer:

Step-by-step explanation:

side length of the square : ( z + 5 )

[tex] {z}^{2} + 10z + 25 \\ {z}^{2} + 5z + 5z + 25 \\ z(z + 5) + 5(z + 5) \\ (z + 5)(z + 5) \\ [/tex]

perimeter of the square :

[tex](z + 5) \times 4 \\ 4z + 20 \\ [/tex]

Answer:

Equation: y = 0.4x + 3.

Step-by-step explanation:

picture

Answer:

1 year data analysis of input and output

Answer:

D

Step-by-step explanation:

D

0 is the y intercept and -4 is the slope.

Answer:

D. y = -4x

Step-by-step explanation:

First, find the slope:

m = (-8 - 0) / (2 - 0)

[tex]m = -\frac{8}{2}[/tex]

Use slope-intercept form:

[tex]y = -\frac{8}{2}x[/tex]

[tex]y = -4x[/tex]

Answer:

7 and 8

Step-by-step explanation:

7^2=49

8^2=64

49+64=113

Answer:

7 and 8

Step-by-step explanation:

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

Answer:

cone A= 20.9×5=104.5

cone B= 5×4=20

20×20.9=418

cone B -cone A = -313.5

Answer:

hi there the correct answer is b

Step-by-step explanation:

Answer:

The measure of angle MNI is 134 degrees

Step-by-step explanation:

That angle is equal to the sum of the opposite angles so I found x=7 and when you plug in 7 you get 135

Answer:

10 inches

Step-by-step explanation:

refer the image

Answer:

15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher

Step-by-step explanation:

We know that there are 3 ingredients.

3/4 apple juice

1/10 orange juice

We want to know how much cranberry juice to apple juice to orange juice.

First, let's start with getting common denominators.

The LCD (least common denominator) between these two fractions is 40. (4 * 10)

So:

3/4 * 10/10  = 30/40

1/10 * 4/4 = 4/40

Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.

40/40 - 30/40 - 4/40 = 6/40

Cranberry juice = 6/40 of the whole.

Now we can find the ratio in its simplest form.

30/40 : 4/40 : 6/40

Can we simplify these fractions? yes.

The can all be simplified by 2

15/20 : 2/20 : 3/20

Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.

or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.

The property of equality applied to solve the equation is division property of Equality.

Property of equality says that by performing any mathematical operation, of both sides of an expression does not change the original value of the equation.

The equation given in the problem is,

[tex]0.36 x = -1. 8[/tex]

This equation is solved further by dividing both side of the expression with decimal number 0.36 as,

[tex]\dfrac{0.36}{0.36}x = -\dfrac{1. 8}{0.36}\\x=-5[/tex]

Here, the division operation is performed both sides of the equation to solve the equation. This does not change the original value of the equation and gives the value of unknown number.

Thus, the property of equality applied to solve the equation is division property of Equality.

Learn more about the property of equality ehre;

https://brainly.com/question/1601404

Answer:

Step-by-step explanation;

3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)

Answer:

x ≈ 5.3

Step-by-step explanation:

a²+b²=c²

c is always the hypotenuse in a right angle triangle.

6² + x² = 8²

36 + x² = 64

64 - 36 = 28

x² = 28

x = √28

Use calculator from here.

√28 = 5.29150262213

5.29150262213 ≈ 5.3

Because the number after 2, which is 9, is greater than 5, the nearest tenth is 5.3, not 5.2.

Answer:

4(5x+4)

Step-by-step explanation:

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20x

Then the greatest common factor is 4.

Equivalent expressions are expressions with equal values

The equivalent expression is 16.5d+9

The expression is given as:

14.5d+8.5-1/2d+1/2+2.5d

Express the fractions as decimals

14.5d+8.5-0.5d+0.5+2.5d

Collect like terms

14.5d-0.5d+2.5d+8.5+0.5

Evaluate the like terms

16.5d+9

Hence, the equivalent expression is 16.5d+9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:16.5d+9

Step-by-step explanation:

Answer:

4 : 5

Step-by-step explanation:

tanya : sid = 1.6 : 2 ( divide both parts by 0.4 )

                  = 4 : 5