Mathematics High School

## Answers

**Answer 1**

Answer:

Step-by-step explanation:

15x - 10 = 10 + 6 + 2x

15x - 10 = 16 + 2x

Bringing like terms on one side

15x - 2x = 16 + 10

13x = 26

x = 26/13

x = 2

**Answer 2**

The **value** of x in the **equation** is 2.

Option C is the correct answer.

What is an equation?

An **equation** is a mathematical statement that shows that two **expressions** are equal.

It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. **Equations** are used to solve problems and find unknown values.

We have,

We are given the **equation** 2.5(6x - 4) = 10 + 4(1.5 + 0.5x) and we need to find the **value** of x that satisfies this equation.

First, we can **simplify** both sides of the equation by using the distributive property of multiplication.

This gives us:

15x - 10 = 10 + 6 + 2x

Next, we can **combine** like terms on both sides of the equation. Specifically, we can combine the constants on the right-hand side:

15x - 10 = 16 + 2x

Now, we want to **isolate** the term with x on one side of the equation.

We can do this by **subtracting** 2x from both sides of the equation:

13x - 10 = 16

Finally, we can **solve** for x by adding 10 to both sides of the equation and then dividing both sides by 13:

13x = 26

x = 2

Therefore,

The **value** of x in the **equation** is 2.

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## Related Questions

Which shows the difference (p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2) ?

### Answers

**Answer:**

-9p²+6p+2/4p²

**Step-by-step explanation:**

Given the expression

(p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2)

Find the LCM

The LCM = 4p²

[p²+6p+2 - (10p²)]/4p²

Expand

p²-10p²+6p+2/4p²

-9p²+6p+2/4p²

**hence the required expression is -9p²+6p+2/4p²**

7. Calculate Rock A contains

10% quartz and 45% calcite.

The rest of the rock is mica.

What percentage of the rock

is mica?

### Answers

**Answer:**

45% of the rock is mica

**Step-by-step **

**10% + 45% = 55%. 100% - 55% = 45%**

distributive property to find (7x-3)(4x+6)

### Answers

**Answer:**

2

8

2

+

3

−

1

8

**Step-by-step explanation:**

i don't know why its upright

which of the following represents a function of protein within a organism ?

A.storing genetic information

B.storing energy

C.generating heat

D.fighting infection

### Answers

**Answer:**

A

**Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT**

whats 5x=2x+9 i need this asap

### Answers

**Answer:**

How to solve your question

Subtract

22x2x

from both sides of the equation5=2+95−2=2+9−22

Simplify

Combine like terms

3=93

Divide both sides of the equation by the same term

3=933=934

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=3

**Solution**

**=3**

Quick check 3

Find slope

### Answers

**Answer:**

I believe its C.

**Step-by-step explanation:**

Slope is always y over x. Since the numbers are positive, i believe its C

Find a ratio for the tangent of 32

### Answers

**Answer:tan c**

**Step-by-step explanation:**

Can I have some please

### Answers

**Answer:**

A:x=7.5 or 7 and 1/2

b:x=1

**Step-by-step explanation:**

The areas of the squares adjacent to two sides of a right triangle are shown below.

? units?

35 units

50 units

What is the area of the square adjacent to the third side of the triangle?

### Answers

**Answer:**

85

**Step-by-step explanation:**

All you do is add 35 units and 50 units together.

**Area **of the square **adjacent **to the third **side **of the **triangle **is 85 units square

What is Pythagoras theorem?

**Pythagoras **theorem states that a right-angled **triangle**, the **square **of one side is equal to the sum of the **squares **of the other two **sides**.

Given that **areas **of the squares **adjacent **to two sides of a right triangle are :

35 sq units

50 sq units

To determine the area of the square **adjacent **to the third side of the **triangle**

According to Pythagoras theorem,

Hypotenuse² = Base² + Perpendicular²

As figure is missing assuming given sides are **perpendicular **sides

Then Area of the square **adjacent **to the third side of the **triangle **= 35 + 50

= 85 units square

Now, assuming 50 sq unit is an area on **hypotenuse**

Then Area of the square adjacent to the third side of the triangle = 35 - 50

= 15 units square

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Understanding Transversals

Use the diagram to complete the statements

Angles 1 and 5 are supplementary because they

are

angles

3

2

Angles 4 and 6 are

are

because they

4

S

angles

7

6

8

### Answers

**Answer:**

8

**Step-by-step explanation:**

7 and 8 are the angles so we need to find the decimal in the problem

Tory read her book and rate of 4/5 of a chapter her 2/3 of an hour. How many chapters can she read in one hour

### Answers

**Answer: **She can read 1.2 chapters of her book in one hour.

**Step-by-step explanation:**

When we have a relation of: "doing something" in a given "amount of time"

The rate at which you can do that activity per unit of time is:

R = (how much you did)/(time it took)

In this case, we know that

"Tory reads 4/5 of a chapter in 2/3 of an hour"

Then the rate, in this case, could be calculated as:

R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.

This means she can read 1.2 chapters of her book in one hour.

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

14 + 18 ÷ 2 x 18 – 7

15 x 10 + 12 ÷ 3 + 9

8 x 4 + 9 – 9 + 18

2 - 1 + 5 x 4 x 11

60 – 9 x 8 ÷ 8 x 6

(10 ÷ 5)3 + 100 – 9 x 11

3 x 8 x 2 – 42 + 5

14 ÷ 2 -1 + 3

### Answers

**Answer:**

**1.) 169**

**2.) 63**

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

**Step-by-step explanation:**

**sorry i dont have time for the explanation. :( i hope i helped you still**

In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours,to the nearest whole number?

### Answers

**Answer:**

12,720

**Step-by-step explanation:**

5300 times 2.4 = 12,720

Find the solution to the system by graphing

### Answers

After graphing the lines, you can see that the solution is (4, -1)

HELP PLS PLS PLS PLS

### Answers

**Answer:**

7x - x

**Step-by-step explanation:**

i think so oof oof oof oof oof

The answer is 7+x*x

Gl

7.6 cm

Diagram NOT

accurately drawn

A circle has a radius of 7.6 cm.

Work out the area of the circle.

Give your answer correct to 3 significant figures.

### Answers

**Answer:**

**181cm²**

**Step-by-step explanation:**

Given

Radius of a circle = 7.6cm

Area of the circle = \pi r²

Substitute

Area of the circle = 3.14(7.6)²

Area of the circle = 3.14(57.76)

Area of the circle = 181.3664cm²

**Area of the circle to 3sf is 181cm²**

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

### Answers

**Answer:**

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

**Step-by-step explanation:**

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

**Answer:**

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

**Step-by-step explanation:**

A chef uses 1/2 cup of tomatoes for every 1/8 cup of onions to make salsa. How many cups of onions will the chef need for 1 cup of tomatoes? Enter the answer as a decimal.

### Answers

**Answer:**

0.25cups

**Step-by-step explanation:**

if it is 1 cup then we are doubling the amount of onions so

1/8 x 2= 1/4= 0.25cups

PLZ HELP!!!! WILL GIVE BRAINLIEST IF CORRECT! The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:

All teachers in the school

All boys in each grade

All students in each grade

All students in the social studies club

Which group best represents the population he should take a random sample from to get the best results for his survey? (5 points)

Question 1 options:

1)

All teachers in the school

2)

All boys in each grade

3)

All students in each grade

4)

All students in the social studies club

### Answers

**3 is the answer**

**you're welcome **

**Step-by-step explanation:**

4 is the answer since the question asks if the student would prefer so to get a better opinion you'd have to ask ever student in all grade

Use the triangle to find the missing angle. Round to the tenths if necessary.

### Answers

Answer:

Step-by-step explanation:

69

Can someone please helpppppppp

### Answers

**Answer:**

first one

**Step-by-step explanation:**

hhhhjnbbbnhhh

Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school

lunches. At this rate, how much did Dante spend on school lunches after 5 days?

### Answers

**Answer:**

12.5

**Step-by-step explanation:**

37.50÷15=2.5

2.5×5=12.5

**Answer: $12.50**

**Step-by-step explanation:**

You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2

### Answers

**Answer:**

㏒(2x²) = ㏒(2) + 2㏒(x)

**Step-by-step explanation:**

As given, ㏒(2x²)

As we know that ㏒(MN) = ㏒(M) + ㏒(N)

⇒㏒(2x²) = ㏒(2) + ㏒(x²)

As we know that ㏒(xⁿ) = n㏒(x)

⇒㏒(2x²) = ㏒(2) + 2㏒(x)

∴ we get

㏒(2x²) = ㏒(2) + 2㏒(x)

Please someone help me

### Answers

Answer: C

Explanation:

0.15-> 15%

0.25-> 25%

15%+25%=40%

Solve each equation.

1) -20 = -4x - 6x

### Answers

**Answer:**

X= 2

Why

-20=-4x-6x

-20=-10x

-20/x=-10x/x

2=x

**Answer:**

i love algebra anyways

The ans is in the picture and the stops how i got it

(hope that helps can i plz have brainlist it will make my day :D hehe)

**Step-by-step explanation:**

In the following figure, the value of x is...

### Answers

**Answer:**

8.3

**Step-by-step explanation:**

AA'B'C' is a reflection of AABC. Which best describes the reflection?

### Answers

**Answer:**

A reflection over the line y = 3.

**Step-by-step explanation:**

You will draw a straight vertical line on 3 and then count the spaces. If you have equal space on both sides then your answer is right.

HELLLLLPPPPPPPPPPPPPPPp ASPAPppp plzzz

### Answers

**Step-by-step explanation:**

2+b《3b.

hope u got it....

**Answer:**

2+b<3b

**Step-by-step explanation:**

sum means addition. so the sum of b and 2 would mean 2+b. triple the number b literally means b times 3. so, that is the answer.

What is the answer to this question it is urgent

### Answers

the answer is D scnagntwhwth

A

Use the drop-down menus to identify the parts of the

coordinate plane

Line A is the

В

Region BIS

Point C is the originy

Line D is the

### Answers

**Answer:**

Line A is the: ✔ y-axis

Region B is: ✔ a quadrant

Point C is the: ✔origin

Line D is the: ✔ x-axis

**Step-by-step explanation:**

Did it on Edgen

For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, **origin **and **x-axis** respectively.

What is a coordinate plane?

A **coordinate plane** can be defined as the surface formed by two perpendicular lines which **intersect **each other. The vertical and horizontal lines are known as y and x axis respectively.

The intersection of these lines is known as the origin.

The **diagram **of the coordinate plane can be analysed as,

(a) Line A is the vertical **perpendicular **line.

It can be called as y-axis.

(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.

It is known as the** first quadrant**.

(c) Point C lies at the intersection of two lines perpendicular to each other.

It can be said the origin.

(d) Line D is the horizontal line.

It can be called as x-axis.

Hence, the given letters A, B, C and D represent the y-axis, **first quadrant**, origin and x-axis respectively.

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The missing diagram is attached here.