A group wants to visit a water park over
the summer. Tickets cost $10 for each
child and $15 for each adult. The group
has a total of $90 to spend on tickets to
the water park. The equation
10x + 15y = 90 represents the total
cost of the water park tickets and is
graphed below.

Answer:

x = 18

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 15 when x = 9 , then

15 = 9x ( divide both sides by 9 )

[tex]\frac{15}{9}[/tex] = x , that is

x = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of variation

when y = 30 , then

30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

90 = 5x ( divide both sides by 5 )

18 = x

Answer:

Step-by-step explanation:

22000-18700=3300

3300/22000x100=15%

Answer:

It is a 15 percent decrease

Step-by-step explanation:

Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.

According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.

A line plot is a graph that uses check marks above a number line, to show the frequency of each value.

In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.

The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1

The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3

The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4

Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)

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Hey there!

12 1/2 * 4

= 12 1/2 * 4/1

= 12 * 2 + 1 / 2 * 4/1

= 24 + 1 / 2 * 4/1

= 25/2 * 4/1

= 25(4) / 2(1)

= 100 / 2

= 100 ÷ 2 / 2 ÷ 2

= 50 / 1

= 50

EASIER UNDERSTANDING….

= 25 + 25 + 25 + 25 / 2 + 0

= 50 + 50 / 2 + 0

= 100 / 2

= 100 ÷ 2

= 50

Therefore, your answer is: 50

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.

The total surface area of a rectangular prism is given by the formula,

Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]

Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,

[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]

                              [tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]

Hence, the total surface area of the rectangular prism is 203.2 units².

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Answer:

.5x+.5-1/3x-1/3

Step-by-step explanation:

You then would combine like terms and get x

Answer:

12.7

Step-by-step explanation:

9^2+9^2=162

square root of 162 equals roughly 12.7

Use the pythagorean theorem

Answer:

12.5

Step-by-step explanation:

.25 x 50= 12.5

Answer:

-3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1 so put you numbers in and you get

-6-6/-9+5

-12/4

and then -3

Answer:

-3

Step-by-step explanation:

[tex]y=mx+b[/tex] is equation of a straight line.

Here, the slope is m.

[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]

Answer:

y-intercept = (-2,0)

Step-by-step explanation:

the "C" is the answer

Answer:

she should get in change $5.55

Answer:

B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.

Step-by-step explanation:

The side on the top is parallel with the side on the bottom.

It could not be A because there is only one pair of parallel sides.

It can’t be C or D because the shape is a trapazoid.

Answer:

B

Step-by-step explanation:

!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.

##Have a lovely day today ^^!

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

Answer:

The radius is 4.5cm.

Step-by-step explanation:

Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:

C = pi•d OR

C = 2•pi•r

Since we are looking for radius, use the second formula.

C = 2•pi•r

28.26 = 2pi•r

Divide by 2pi.

28.26/2pi = r

r = 4.5

The radius is 4.5 cm.

Answer:

12 1/6

It wants me to add more but there's nothing to add

Answer:

It would be the last one

Step-by-step explanation:

Answer:

The surface area of cone = 54π cm²

Step-by-step explanation:

Given ;

Radius = 3 cm

slant height = 15cm

The surface area of cone = πr ( r + l )

=> π × 3 ( 3 + 15)

=> π × 3 ( 18)

=> 54 π cm²

Answer:

Option a

Explanation :

check out my attached work

Hope it helps, let me know if you have any questions !

Have a nice rest of your day :)

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

The distance from the United States to Europe is 5200miles.

We have given that the,

There is a map of the world on the wall in Mr. Smith's classroom.

The scale on the map

lists 1 inch to 400 miles.

On his map, Mr. Smith measured 13 inches between the United States and Europe.

The value of one inch is 400 miles.

We have to determine the 13 inches in miles

We have given that

1inch=400miles

Therefore multiply both side by 13 so we get

13inches=13(400)miles

             =5200miles

Therefore we get, the distance from the United States to Europe is 5200miles.

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Answer:

5200

Step-by-step explanation:

If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:

Distance in miles = Number of inches * Scale

Distance in miles = 13 inches * 400 miles/inch

Distance in miles = 5200 miles

Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.

Answer:

x=30

Step-by-step explanation:

5=x/6

30=x

Answer:

It is attached

Step-by-step explanation:

Answer:

the answer is 75%

each dot represents 25% of the data

Below 345 meters are 3 points

so, 3 * 25% = 75%

[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]

[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]

Answer:

B

Step-by-step explanation:

[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]

[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]

[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]

[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]

[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]

[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]

Answer:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

Step-by-step explanation:

Answer:

494

Step-by-step explanation:

931-437=494 :)

Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

Answer:

4.375

Step-by-step explanation:

Answer:

-4.375

Step-by-step explanation:

7/2=3.5

1/4=0.25

5/8=0.625

5/8+1/4=0.875

-7/2-(5/8+1/4)= -4.375

Answer:

2πxy^2 unit^2

Step-by-step explanation:

area of circle=πr^2

=π×2xy^2

=2πxy^2