Mathematics High School

## Answers

**Answer 1**

**Answer:**

$22.26

**Step-by-step explanation:**

To solve, all we need to do is 28(1-.25) to get 21, then we set up the equation 21(1+.03) and we get our total for the price.

we subtract in the first place, because it is a discount, and we add in the second one because it is a sales tax.

please rate and mark as brainlest.

## Related Questions

What is the value of x?

### Answers

**Answer:**

30 degrees

**Step-by-step explanation:**

because if its 60 at the bottom and 30 on the left it only makes sense that it would be 30 on the right.

Also can you mark brainlyest you dont have to thoe

What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).

### Answers

The **general equation** of the s**ine functio**n is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The **sine **and **cosine** of an **acute angle **are utilized to find the **angle **of the **triangle**.

What is sin function?

The **sine **and **cosine** of an **angle** are **trigonometric functions**. In the **context **of a **right triangle**, the **sine **and **cosine** of an **acute angle **are used to find the **angle **of the **triangle**.

The **standard general equation** of a **sine function **is given as;

[tex]\rm y= AsinB(x-C)+D[/tex]

Where **A **denotes the **amplitude**,** B **is the **frequency**,** D** is the **vertical shift **and **C** is the **phase** **shift**.

The **given data **in the problem is;

**A** is the **amplitude**= 2

**B** is the **frequency**=2

**D **is the **vertical shift **=0

**C** is the **phase shift.**=[tex]\pi[/tex]

The** general equation i**s found as;

[tex]\rm y= 2sin(2(x-\pi)[/tex]

Hence the **general equation** of the s**ine functio**n is [tex]\rm y= 2sin(2(x-\pi)[/tex].

To learn more about the** sin function** refer to the link;

https://brainly.com/question/6826226

What is the area of the given triangle?

### Answers

**Answer:**

B 12

**Step-by-step explanation:**

4 x 6 = 24 divided by 2 = 12

The answer is 12

To find the area of a triangle you need to use this formula. Length x base and then divide in half.

So 6x4=24 and half of 24 is 12

I hope this was helpful :)

Rewrite 4 as a fraction.

4/4

4/1

1/4

### Answers

Answer:

4/1

Step-by-step explanation:

when you divide 4 by 1 you will get 4 which is your original answer.

what is the inequality shown

### Answers

Answer:

-4<x≤5

Step-by-step explanation:

An open circle means 'less than' or 'greater than' while a closed cirlce means 'less than or equal to' or 'greater than or equal to'

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.

### Answers

The **distance **between the **penguins **and the **stingrays **which is **parallel** to the **path **from the **whales **to the **sharks **is 28 ft.

What is proportional segment between parallel lines?

In two **triangle **in which the one side of the first **triangle **is parallel to the one side of the other triangle, two **similar **triangle formed.

Due to this similar triangle the **segment **formed by the **parallel **line are proportional **segment**.

The **path **from the whales to the sharks is **parallel **to the path from the penguins to the **stingrays**.

The **map **of the **zoo **is attached below.

The **distance **from whale to shark is 18 ft, and this side is **parallel **to the path from the penguins to the stingrays. **Suppose **the distance between the **penguins **and the **stingrays **is x meters.

Thus, in the given triangle, the ratio of these two **sides **will be equal to the **ratio **of their **corresponding **sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the **distance **between the **penguins **and the **stingrays **which is **parallel** to the **path **from the **whales **to the **sharks **is 28 ft.

Learn more about the **similar triangle** here;

https://brainly.com/question/14285697

**Answer:**

28

**Step-by-step explanation:**

Did on edge 2022

(-3, -2) (2, 1) Find the slope

### Answers

**Answer:**

for just the slope its 3/5 or in decimal its .6

**Step-by-step explanation:**

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Y2-Y1/x2-x1

Answer 3/5

The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?

### Answers

**Answer:**

**The measure of each angle will be 10° and 170°.**

**Step-by-step explanation:**

**A supplementary angle refers to an angle that has the sum to be equal to 180°.**

**Let the small angle be represented by x**

**Therefore, the big angle will be: = 17 × x = 17x**

**Therefore, the value of both angles will be:**

**x + 17x = 180**

**18x = 180**

**Divide both side by 18**

**18x/18 = 180/18**

**x = 10**

**Therefore, the bigger angle will be:**

**17x = 17 × 10 = 170**

**Therefore, the angles are 10° and 170°**

**Answer:**

**10 and 170 **degrees.

**Step-by-step explanation:**

If the angle is x degrees then its supplementary angle = 180-x degrees.

So x + 17x = 180

18x = 180

x = 10 degrees.

How to find the area of composite figure steps

### Answers

**Answer: To find the area of a composite figure or other irregular-shaped figure,divide it into simple, nonoverlapping figures.Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.**

**Step-by-step explanation:**

Need done ASAP

If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?

Please show work

### Answers

Solution SOLUTION

(

f

+

g

)

(

x

)

=

(

2

x

+

7

)

+

(

5

x

−

2

)

=

7

x

+

5

(f+g)(x)=(2x+7)+(5x−2)=7x+5

(

f

−

g

)

(

x

)

=

(

2

x

+

7

)

−

(

5

x

−

2

)

=

9

−

3

x

(f−g)(x)=(2x+7)−(5x−2)=9−3x

(

f

⋅

g

)

(

x

)

=

(

2

x

+

7

)

⋅

(

5

x

−

2

)

=

(

2

x

+

7

)

(

5

x

−

2

)

(f⋅g)(x)=(2x+7)⋅(5x−2)=(2x+7)(5x−2)

(

f

g

)

(

x

)

=

(

2

x

+

7

)

(

5

x

−

2

)

=

2

x

+

7

5

x

−

2

(

g

f

)(x)=

(5x−2)

(2x+7)

=

5x−2

2x+

Answer

5

(f+g)(x)=7x+5

(

f

−

g

)

(

x

)

=

9

−

3

x

(f−g)(x)=9−3x

(

f

⋅

g

)

(

x

)

=

(

2

x

+

7

)

(

5

x

−

2

)

(f⋅g)(x)=(2x+7)(5x−2)

(

f

g

)

(

x

)

=

2

x

+

7

5

x

−

2

(

g

f

)(x)=

In a school there are 1970 pupils. If there are 799 boys, how many more girls are there than boys?

### Answers

372.

Explanation:

Subtract 799 from 1970, and you get 1171.

Subtract 799 from 1171 and you get your answer, which is 372.

As per **linear equation**, there are 372 more **girls **in school than **boys**.

What is a linear equation?

"A **linear equation** is an **equation **in which the highest power of the **variable **is always 1. It is also known as a **one-degree equation**. The standard form of a **linear equation** in one **variable **is of the form Ax + B = 0. Here, x is a **variable**, A is a **coefficient **and B is constant."

Given, there are 1970 **pupils**.

There are 799 **boys **in the school.

Therefore, the number of **girls **in the school is

[tex]= (1970-799)\\= 1171[/tex]

Therefore, the number of **girls **more than **boys **in the school is

[tex]= (1171-799)\\= 372[/tex]

In that school , there are 372 more **girls **than total number of the **boys**.

Learn more about **linear equation** here: https://brainly.com/question/11897796

#SPJ2

Diego then says, “If we take half of the first number and double the second, the sum is 14.” Write an equation that represents this clue. What are Diego’s two numbers? I have the first part which is the equation, but i can’t figure out what his two numbers are. Please help! Thank you!

### Answers

so the equation is

X/2 + 2Y = 14

if we isolate X the equation becomes

X= 4Y - 28

we put the value of X inside of the first equation and it becomes

(4Y - 28)/2 = 14 - 2Y

the result of this equation is

Y = 7

we then put the value of Y inside of the first equation and X=0

so the numbers are 0 and 7

which is true because if you halve 0 and double 7 their sum is 14

Right equation of the line that is perpendicular to the line Y equals negative 3X +8 and passes through the point -2, 3. Right equation in point slope form

### Answers

hello!

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

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

In this case, we take [tex]\boxed{-3}[/tex], change its sign:

[tex]\boxed{3}[/tex]

3 can also be written as

[tex]\boxed{\frac{3}{1} }[/tex]

Now the numerator & denominator switch places:

[tex]\boxed{\frac{1}{3}}[/tex]

So that's the slope of the new line.

Now, let's write the equation in point-slope form:-

[tex]\bigstar{\underline{\boxed{\pmb{y-y_1=m(x-1)}}}[/tex]

Where

y₁ is the y-coordinate of the point (in this case, y₁ = 3)

m = slope (1/3)

x₁= the x-coordinate of the point (in this case, it's -2)

Plug in the values:-

[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x-(-2)}}[/tex]

[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x+2)} }\longleftarrow\sf{Point-Slope~Formula:)}}[/tex]

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

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm, to the nearest tenths place?

### Answers

**Answer:**

4021.76

**Step-by-step explanation:**

v= πr^2h

3.142x8×8×20

How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible

### Answers

2 flavors and 4 scoops

total different possibilities = 2^4 = 16

answer: 16

What is the word form for 407,219?

A

Four hundred seventy thousand and two hundred ninety

B

Four hundred seventeen thousand, two hundred nineteen

C

Four hundred seven thousand, two hundred nineteen

D

Four hundred seven thousand, two hundred and nineteen

### Answers

**Answer:**

C or D Both basically

**Step-by-step explanation:I read them**

C -four hundred seven thousand, two hundred nineteen

Determine the scale factor

LMNO Became HIJK

### Answers

**Answer:**

2

**Step-by-step explanation:**

The scake factor is 2

Answer is 2

help again thank you .

### Answers

**Answer:**

Left 2, up 1

**Step-by-step explanation:**

If you use slope, remember rise/run. You go up then left.

Answer: left 2 up 1

Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps

please help??????????????????????????????? so confused

8s-11s+6s

### Answers

**Answer: = 3 seconds**

**Step-by-step explanation: combine the like terms Hope it helps !!**

**To simplify: 8s - 11s + 6s. Simplify the like terms by combining them**

**Simplifying **8s - 11s + 6s will give 3s.

Given,

8s - 11s + 6s

Now,

**Expression **: 8s-11s+6s

To simplify the expression combine like **terms**. So, all the terms consists of variable s.

Combine all terms having same sign,

So,

Firstly apply **addition**

8s + 6s

= 14s

Now,

Apply **subtraction**,

14s - 11s

= 3s

Therefore the **simplified **version is 3s.

Know more about **expressions**,

https://brainly.com/question/22535683

#SPJ6

Find the measure of the arc or angle indicated

### Answers

**Answer:**

D) 130

**Step-by-step explanation:**

So there are three arc sections in this problem,

The first one is given: 158

To find the arc between S and R, you can use the angle of point T and double it.

So:

36 * 2 = 72

The second arc is 72

Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle

Like so:

360 - (158 + 72) = 130

**Answer:**

130

**Step-by-step explanation:**

I kinda need help : /

### Answers

**Answer:**

24 square units

**Step-by-step explanation:**

There are a couple of ways you can figure the **area of the frame**:

**subtract** the inner area from the outer area**multiply** the **width of the frame** by the **length of its centerline**

__

Subtract

The dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...

A = (8)(6) -(6)(4) = 48 -24 = **24 . . . . square units frame area**

__

Width by Length

The centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...

P = 2(L+W) = 2(7+5) = 24 . . . . units

Then the area of the frame is this length multiplied by the width of the frame:

A = (24)(1) = **24 . . . . square units frame area**

In a search engine, 40 000 searches are done every

minute.

How many searches are done in an hour?

Write your answer in standard index form.

### Answers

**Answer:**

The answer is 2.4 x 10^6

**Step-by-step explanation:**

You're going to multiply 40,000 by 60

40,000*60=2400000

Therefore the answer in standard index form will be 2.4 x 10^6

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

help..

Priya bought these items at the grocery store. Find each unit price.

12 eggs for $3. How much is the cost per egg?

3 pounds of peanuts for $7.50. How much is the cost per pound?

4 rolls of toilet paper for $2. How much is the cost per roll?

10 apples for $3.50. How much is the cost per apple?

### Answers

**Answer:**

egg: 4 eggs per dollar

peanuts: 0.4 pounds per dollar

t p: 2 rolls for a dollar

apples: 3 apples per dollar

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular

box with the dimensions shown below. He's trying to figure out how much gift wrap

he needs to cover the entire box. Should he calculate the total surface area or the

lateral surface area? Pick the right measurement and then calculate it for him.

In your answer, specify whether he should use total surface area or lateral surface

area. Calculate the one you choose, give that measurement of the box, and then

explain how you calculated it.

13 in

20 in

8 in

### Answers

Demarcus should calculate the total **surface area** of the **rectangular prism** and the measurement is **1,048 in²**

How to calculate the total surface area of a rectangular prism

Length = 20 inwidth = 8 inHeight = 13 in

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= **1,048 in²**

Learn more about **surface area:**

https://brainly.com/question/1310421

Please help ASAP!

The domain of this function is {-12, -6, 3, 15}.

y= 2/3x + 7

Complete the table based on the given domain.

### Answers

In order: 11, 3, -3, -12

The perimeter of a rectangular field is 322 m.

If the width of the field is 67 m, what is its length?

### Answers

**Answer:**

75

**Step-by-step explanation:**

322 = 2(86) + 2w

322 = 172 + 2w

322-172 = 172 +2w -172

150 = 2w

150/2 = 2w/2

w=75

Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)

### Answers

X = 18

Solve for x by simplifying both sides of the equation, then isolating the variable.

Eli was swimming upstream in a river and lost a plastic bottle at bridge A. He noticed the loss after swimming 10 minutes , so immediately started to swim downstream to catch it. He caught it at bridge B, which was 1 mile away from bridge A. What was the rate of water flow in miles per hour?

### Answers

Using **proportions**, it is found that the **rate **of water flow was of **6 miles per hour**.

What is a proportion?

A proportion is a **fraction **of a total amount, and the measures are related using a **rule of three**.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The *rule of three* is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying **cross multiplication:**

10x = 60

x = 60/10

x = 6.

Hence, the **rate **of water flow was of **6 miles per hour**.

More can be learned about **proportions **at https://brainly.com/question/24372153

Identify potential solutions of the inequality 3x + 4 < 13. Select all that apply.

### Answers

**Answer:**

3x+4<13

3x+4-4<13-4(3x<9) divide both sides by 33x/3< 9/3x < **3**

Can someone help me with these questions

### Answers

**Answer:**

**Step-by-step explanation:**

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]

For the first expression, we can use this proprtery to get:

[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]

Using exponent rules, you can combine the exponents by simply multiplying them to get:

[tex]a^\frac{x}{5}[/tex]

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]

The square root of 81 has a perfect root of 9. We have:

[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]

You can divide 9 and the square root of 3 by breaking up 9 into a product:

[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]

Simply by cancelling the 'a' terms to get:

[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]