A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?​

Answer:

[tex]\sqrt{8}----- 2units,2units[/tex]

[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]

[tex]\sqrt{5}-------1unit,2units[/tex]

[tex]3------2units, \sqrt{5}units[/tex]

Step-by-step explanation:

Use pythagorean's theorem to solve each pair individually.

The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.

[tex]Formula: c^2=a^2+b^2[/tex]

1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]

Plug this into the formula.

[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]

The square here eliminates the roots.

[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]

2. [tex]a=\sqrt{3}, b=4[/tex]

[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]

3. [tex]a=2, b=\sqrt{5}[/tex]

[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]

4. [tex]a=2, b=2[/tex]

[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]

5. [tex]a=1, b=2[/tex]

[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]

Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

Answer:

[tex]x2 - 12 = 37[/tex]

Step-by-step explanation:

Add 12 to both sides:

[tex]x2 - 12 + 12 = 37 + 12[/tex]

Simpilfy:

[tex]x2 = 49[/tex]

Simplify:

[tex]2x^{2} = 49[/tex]

Simplify:

[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]

[tex]x^{2} = \frac{49}{2}[/tex]

For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]

x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]

-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]

x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

[tex]x = 7 \\ x = - 7[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]

Answer:

36 dollars

Step-by-step explanation:

We can use ratios to solve

5 boxes              20 boxes

------------------ = ---------------

9 dollars                x dollars

Using cross products

5x = 20*9

Divide each side by 5

5x/5 = 90*9/5

x = 36

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Answer:

17/45

Step-by-step explanation:

Answer:

is your brainly working?

Step-by-step explanation:

Answer:

Its B. y-5x+5

Step-by-step explanation:

Use the slope formula

The equation of the linear model is y = 5x + 5. The correct answer is option B.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We can find the equation of the linear model passing through two points using the slope-intercept form of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

Let (0, 5) be the first point, and (3, 20) be the second point:

m = (20 - 5) / (3 - 0) = 15 / 3 = 5

Now that we know the slope, we can plug in one of the points and solve for the y-intercept:

y = mx + b

5 = 5(0) + b

b = 5

Hence, the equation of the linear model is:

y = 5x + 5

Learn more about the equation here:

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#SPJ3

Answer:

E) the new price is going to be $3.92

   Work: 3.50 × 12 / 100 = 0.42

              3.50 + 0.42 = 3.92

F) Dont understand what this one is asking

G) You would save 1.03$ with the 10% off.

   Work: 10.3 x 10 / 100

               103 / 100

              $1.03

hope this helps

Answer:

aₙ = (-3) (-1)ⁿ⁻¹

limit does not exist

Step-by-step explanation:

-3, 3, -3, 3, ...

This is an alternating geometric series where the first term is -3 and the common ratio is -1.  The nth term is therefore:

aₙ = (-3) (-1)ⁿ⁻¹

Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.

Answer:

Step-by-step explanation:

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

[tex](5,0)[/tex]

Since the y-axis is cross on 5, that's the slope.

y=mx+5

To find x, let's use the formula;

[tex]m=\frac{rise}{run}[/tex]

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

Answer:

13 minutes 30 seconds.

Step-by-step explanation:

You just divide 10.8 by 0.8...

10.8÷0.8=13.5

Answer:

yes you are right it would be cylinder b

Step-by-step explanation:

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Answer:

4,8

Step-by-step explanation:

reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four

Answer:

-1-x

Step-by-step explanation:

i think im not sure

Answer:

Step-by-step explanation:

A(-1, 2)  ==> A'(-2, 4)

B(3,1) ==> B'(6,2)

C(1,-4) ==> C'(2,-8)

Based on the results of each set, the scale factor is 2

A(-1*2, 2*2)=  A'(-2, 4)

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

Read more about discounts and price at:

https://brainly.com/question/13651341

Answer:

5/7

Step-by-step explanation:

Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7

Answer:

sin theta = opp/ hypotenuse

Step-by-step explanation:

sin theta = opp/ hypotenuse

cos theta = adj/ hypotenuse

tan theta = opp/ adj

In this case we know the opposite  and the hypotenuse

Answer:

a

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

turn the percentage into a fraction

so 20% is equal to 2/10.

230 is the whole number so multiply is by the numerator which is 2

230 x 2=460

and divide it by the denominator which is 10

460/10=46

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

Answer:

The slope of the line is 1

Step-by-step explanation:

To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown

Answer:

225

Step-by-step explanation:

Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

6a

Step-by-step explanation:

The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.

In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:

6a

By taking 6a, you get:

6a([tex]x^2[/tex] + x + 1)

Answer:

Step-by-step explanation:

Given a rhombus ABCD

|AB|=|DC| (Opposite sides of a rhombus are equal)

|AB|=9s+29

|DC|=10s-16

Therefore:

9s+29=10s-16

Collect like terms

10s-9s=29+16

Recall: |AB|=9s+29

|AB|=9(45)+29=405+29=434 Units

Since all the sides of a rhombus are congruent

AB=AC=BD=CD

Therefore:

|BC|=434 Units

Answer:

s=45

ab=434

Step-by-step explanation: