Mathematics High School

## Answers

**Answer 1**

A property map is drawn at a** **scale of 1:1000, if the distance between two points on the map is 4.9cm. then the actual** distance** is = 4.9 * [tex]10^{3}[/tex]

A property map is drawn at a scale of 1:1000

The distance between two points on the map is 4.9cm

Based on the given conditions, formulate :

= 4.9 * 1000/1

= 4.9 * 1000

Calculate the product or **quotient**,

= 4900

This alternative forms is,

= 4.9 * [tex]10^{3}[/tex]

Therefore,

The **actual** distance is = 4.9 * [tex]10^{3}[/tex], if the distance between two points on the map is 4.9cm.

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## Related Questions

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.

### Answers

The **integers **in the **solution set** of 3p − 10 ≥ 7p + 6 are -4 and -5

What are inequality expressions?

**Inequality expressions** are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

How to determine the integers in the set?

The set is given as

S: {−2, −3, −4, −5}

The **inequality expression **is given as

3p − 10 ≥ 7p + 6

We start by evaluating the **inequality expression **

So, we have

3p − 10 ≥ 7p + 6

Subtract 7p from both sides of the **inequality expression **

So, we have

-4p − 10 ≥ 6

Add 10 to both sides of the **inequality expression **

So, we have

-4p ≥ 16

Divide both sides of the **inequality expression **hy -4

So, we have

p ≤ -4

This means that the **integers **in the **solution set** are integers that do not exceed -4

These **integers **are -4 and -5

Hence, the **solution** is -4 and -5

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HELP PLS I NEED THIS DONE BY TOMORROW!!

PLS BE 100% CORRECT

### Answers

The answer to the following **verbal expressions **of **inequality** are:

A: x ≤ 69;

B: The option that shows the **graph **of the **inequality **d<2 is Option C.

C: The option that shows the graph of the inequality of x ≤ 5 is option B.

D: represents the graph of the **inequality** given in option C that is x > -8

E: The **inequality **that describes the situation is ≥ 49 (Option B)

What is inequality?

In mathematics, **inequality** is defined as a declaration of an order connection between two integers or **algebraic expressions **(greater than, **greater than** or equal to, less than, or **less than or equal to)**.

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5.) Claire deposited $32 each week for 8 weeks. How much money did she deposit after 8

weeks?

O $256

O-$256

O-$40

O $40

### Answers

ANSWER:

$256

EXPLANATION:

Deposited means to put in. So if Claire put in $32 each week for 8 weeks our work should look like this, 32 x 8. Withdrawal means to take out and we aren’t Withdrawing so our answer is $256

Bonjour, je vous demande de l'aide pour ce gros exercice de maths niveau seconde merci d'avance.

### Answers

**Answer:**

type in english

**Step-by-step explanation:**

english please

subtract 18 from the product of 7 and 13

### Answers

Hello!

**The product of something is the outcome of ADDITION.**

This means we will have to add 7 and 13.

7+13=20.

It says the subtract 18.

20-18=2.

**2 is your answer!!---------------------------------**

**this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3**

If ACDE were reflected across the line y = x, what would be the coordinates of AC'D'E?

### Answers

**Answer: D**

**Step-by-step explanation:**

Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].

[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]

2üssü15 artı 2 üssü 14

### Answers

**Answer:**

What is this, give context and I'll help you.

**Step-by-step explanation:**

Need more context.

Can someone explain how to do this to me!! Please thanks

### Answers

**Answer:**

MP = 19

**Step-by-step explanation:**

MP = MN + NO + OP

we require to find OP and MN before we can evaluate MP

NO + OP = NP , that is

8 + OP = 15 ( subtract 8 from both sides )

OP = 7

and

MN + NO = M0 , that is

MN + 8 = 12 ( subtract 8 from both sides )

MN = 4

Then

MP = MN + NO + OP = 4 + 8 + 7 = 19

Please help immediately!!

### Answers

2/5 is close to 4/5 and -0.2 is close to -3/5

Five CD’s cost 80. If each CD cost the same, how much does one cost

### Answers

Answer:

16

Step-by-step explanation:

Divide to find this answer.

If you're allowed to use a calculator, divide 80÷5 or

80/5 This will give you the answer 16.

If you are not permitted to use a calculator, see attached image for an example of a long division

surface area of a cuboid with dimensions of 9cm 5cm and 7cm

### Answers

I’m not sure of the answer but this might help

Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?

### Answers

She can translate the **measurement **into **metric unit system** of "meters" for her and her teacher to understand better.

As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a **measurement **the ball traveled "-700" feet.

We are required to provide a solution on how Jamie can translate this **measurement** so that, she and her teacher can understand it better.

To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the **metric unit system** of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,

700 feet = (700 * 0.305) meters,

or, 700 feet = 213.5 meters.

Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.

**Metric Unit System: **It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.

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3 In an election, a good candidate may lose because 40% of voters do not cast their votes due

to various reasons. Form an equation and draw the graph with data. From the graph, find:

(i) The total number of voters, if 720 voters cast their votes.

### Answers

The total number of **voters** is 1200, and out of that 720 voters cast their votes.

Let's take total voters = V

The **percentage** of voters do not cast their votes due to various reasons is 40%.

Therefore, Voters did not cast their votes = (40÷100)V = 0.4V

As 0.4V voters did not cast their votes. To calculate the total number of voters who cast votes, divide (total) by (non-casted-voters):

Voters casted their votes = V - 0.4V = 0.6V

0.6V = 720

=> V = 1200

The total number of voters is 1200 if 720 voters cast their votes.

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Karen is driving her moterhome. It uses 3 gallons of gas for every 24 milesComplete the table below showing the number of gallons used and the distance traveled.

( The table is 3,24 6, ? 7,? ? , 72 and 10, ?)

### Answers

**Answer: 6, 48 and 7, 56 and 9, 72 and 10,80**

**Step-by-step explanation:**

Mr. rodriguez is packing bags of snacks for his childrenâ€™s lunchboxes. he plans to use 20 blueberries and 30 grapes. each snack bag will have the same number of blueberries and grapes. how many bags can he make if each bag needs to be the same? 5 bags 10 bags 50 bags 60 bags

### Answers

The number of **bags **of **blueberries **and **grapes **that Mr. Rodriguez can make is 10.

How many bags can he make?

If the number of **blueberries **and **grapes **in the **bags **of **snacks **would be the same, the **common factor **of 20 and 30 have to be determined.

A **factor **is a number that divides another number evenly. For example, a factor of 200 is 10. A **common factor **is a factor that two or more number share. For example, a **common factor **of 10 and 20 is 5.

Factors of 20 = 1, 2, 4, 5, 10, 20

**Factors **of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Common factors = 1, 2, 3, 10

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**Answer:10 bag thank i m smart**

**Step-by-step explanation:**

The answer is????????

### Answers

**Answer:**

-7

**Step-by-step explanation:**

2(-9)+5=-7

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{xy + 5}\\\mathsf{= 2(-6) + 5}\\\mathsf{= -12 + 5}\\\mathsf{= -7}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is 40÷8175 PLEASE HELP ME H E L P

### Answers

**Answer:**

**Step-by-step explanation: 0.00489296636 if you divided by 40 to 8175 but if you wanted 8175 divided 40 it would equal 204.375 just letting you know i used a calculator so if these aren't it then i'm not sure**

In the figure below, m<2=43°. Find m<1.

m<1 =

### Answers

**Answer:**

137°

**Step-by-step explanation:**

Given: ∠2 = 43°

Find: ∠1 = ?

Solution:

∠1 + ∠2 = 180°

∠1 = 180° - ∠2

∠1 = 180° - 43°

∠1 = 137°

An ice cream truck driver sold 2,812 popsicles and 2,265 ice cream bars in one month. he had 422 treats left over. how many treats did he have to start with? 4,499 total treats 5,500 total treats 5,499 total treats 4,500 total treats

### Answers

**Answer: 5499**

**Step-by-step explanation:**

2812 + 2265 + 422 = 5499

What is the approximate of 0.000000005

### Answers

**Answer:**

**Step-by-step explanation:**

0.000000005% can be written as a fraction: 0.000000005 / 100

Solve the triangle. Round the side length to the nearest tenth and the angle measures to the nearest degree.

### Answers

**Answer: 41, 54, 6.1**

**Step-by-step explanation:**

By the law of Cosines,

[tex]b^2=4^2 +5^2 -2(4)(5)\cos 85^{\circ}\\\\b=\sqrt{4^2 +5^2 -2(4)(5)\cos 85^{\circ}} \\\\ =\sqrt{41-40 \cos 85^{\circ}}\\\\\approx 6.1[/tex]

By the law of sines,

[tex]\frac{\sin A}{a}=\frac{\sin C}{c}=\frac{\sin B}{b}\\\\\frac{\sin A}{4}=\frac{\sin C}{5}=\frac{\sin 85^{\circ}}{\sqrt{41-40 \cos (85^{\circ})}}\\\\\implies \sin A=\frac{4\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle A \approx 41^{\circ}\\\\\implies \sin C=\frac{5\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle C \approx 54^{\circ}[/tex]

okay soo.. Vance wants to determine if an old photo frame is still rectangular. The height of the frame is 8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still rectangular? how do you know?

### Answers

We can check this using **Pythagoras' theorem**.

**Explain Pythagoras' theorem?**

The **Pythagorean theorem**, sometimes known as **Pythagoras' theorem**, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It asserts that the area of the square with the hypotenuse (the side opposite the right angle) equals the sum of the areas of the squares with the other two sides. This theorem may be expressed as an equation linking the lengths of the legs a, b, and the hypotenuse c, which is known as the **Pythagorean equation**: a² + b² = c²

According to **Pythagoras' theorem**, as we see a² + b² = c²

6² + 8² = 10², so the photo frame is still a rectangle.

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The hypotenuse of a right triangle is 29.0 centimeters. the length of one of its legs is 20.0 centimeters. what is the length of the other leg? a. 49.0 centimeters b. 24.5 centimeters c. 21.0 centimeters d. 4.5 centimeters e. 9.0 centimeters

### Answers

We found the length of the other leg by using **Pythagoras’ theorem** y is equal to 21.0 centimeters when the length of one of its legs is 20.0 centimeters.

In this question we have to make an equation by using the** right triangle**'s value which is given in the question,

by putting these values in the Pythagoras’ theorem.

As given, the hypotenuse of a right triangle = 29.0 centimeters.

The length of one of its leg = 20.0 centimeters

Now, by using **Pythagoras’ theorem** we will find the length of the other leg:

**hypotenuse**^2 = base^2 + **perpendicular**^2,

We put the value according as given in question:

29^2 = 20^2 + y^2

After finding the square of number of both side:

841 = 400 + y^2

Now we will rearrange this equation:

y^2 = 841 - 400

y = 21 centimeters is the length of the other leg.

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HLEPSHAMUWGDBANSGSHD

### Answers

Check the picture below.

can someone answer this pls Im dying

### Answers

**Answer: The rectangle has 2, and the triangle has 3**

**Step-by-step explanation:**

What is the missing angle in the triangle?

A. 25

B.79

C. 126

D. 180

### Answers

**Answer:**

25

sum of the interior angles of triangle =180

101+54=155

155-180=25

a heap of rubbish in the shape of a cube is being compacted into a smaller cube. given that the volume decreases at a rate of 3 cubic meters per minute, find the rate of change of an edge, in meters per minute, of the cube when the volume is exactly 64 cubic meters.

### Answers

-1/16 meters per minute is the** rate of change** of an edge.

**What is the rate of change?**The rate at which one quantity changes in relation to another quantity is known as the **rate of change function. **Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.

So, the **Volume **of the **cube**: V = r³

Where the **edge **of the cube is represented as r.

Differentiate with respect to t (time) as follows:

[tex]\frac{d V}{d t}=3 r^2 \frac{d r}{d t}[/tex]

dV/dt = -3 : Cubic meters per minute

Also, V = 64 ⇒ r = ∛64 = 4

Now, substitute the values:

-3 = 3(4)² dr/dt-3 = 48 dr/dtdr/dt = -3/48 = -1/16

Therefore, -1/16 meters per minute is the** rate of change** of an edge.

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If the perimeter of the rectangle is 46, what is the value of x?

### Answers

**Answer: 5**

**Step-by-step explanation:**

perimeter = 2 x length + 2 x width

plug in the values

46 = 2(3x+2)+2(x+1)

distribute the 2 into the fraction by multiplying

46 = 6x+4+2x+2

add similar components

46 = 8x+6

subtract 6 to both sides

40 = 8x

divide by 8

5 = x

what is 10.88+10.88+10.88

### Answers

**Answer:**

32.64

**Step-by-step explanation:**

If f(x) = –3(1 – x – 4x2) give f-3.

### Answers

**Answer:**

12

**Step-by-step explanation:**

we enter -3 in for all the x's and rewrite the problem.

-3 (1 - (-3) -4 • 2)

then we calculate ending up with the next problem.

-3 • (-4)

then we simply multiply and end up with 12 as our answer, hope this helped!