The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?

Answer:

n + 32

Step-by-step explanation:

More than indicates you are adding. 32 more than n is shown by the expression n + 32.

The algebraic expression for 32 more than a number n is 32 + n where n is the real number.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

32 more than a number n

Here n is the real number.

As we know,

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

The expression can be written mathematically,

32 more than a number n = 32 + n

Thus, the algebraic expression for 32 more than a number n is 32 + n where n is the real number.

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Solution:

Given, x=-3, y=6, and z=4

Putting these values in the given equation:

-15+(-x)+y

= -15+(-(-3)+6

= -15+3+6

= -15+9

= -6

Answer:

2x-7

Step-by-step explanation:

Answer:

2x-7

Step-by-step explanation:

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer:

-3q - 10

Step-by-step explanation:

-5q - 2 + 2q - 8

-5q + 2q - 2 - 8

-3q - 10

Answer:

x=-9

3x+1=5x+19

    -1        -1  

--------------------

3x=5x+18

-5x -5x

----------

-2x=18

x=-9

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

60° + 2x° + (2x+12)° = 180° { being a linear pair}.

or, 72° + 4x = 180°

4x = 180° - 70°

[tex]x = \frac{108}{4} [/tex]

Therefore, the value of x is 27°.

Now,

2x° = (2×27)°= 54°

(2x+12)° = 2×27°+12°= 66°.

(x+2)= 27+ 2= 29°

Now, The left angle is 27°.

Therefore, The answer is option A.

Hope it helps...

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

4 √ 10

The distance between points (-8, 5) and (4, 9) is 4√10.

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given points are,

P(-8, 5) and Q(4, 9)

To find the distance between points P(-8, 5) and Q(4, 9),

Use formula,

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance[tex]AB =\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]

Distance between P(-8, 5) and Q(4, 9),

[tex]PQ = \sqrt{(4+8)^2 + (9-5)^2}\\\\PQ = \sqrt{12^2+4^2}\\\\ PQ = \sqrt{144 + 16}\\\\PQ = \sqrt 160\\\\PQ = 4\sqrt10\\[/tex]

The distance between points P(-8, 5) and Q(4, 9) is 4√10.

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Answer:

$60.30

Step-by-step explanation:

0.45 x 134 = $60.30

Answer

5

Step-by-step explanation:

First you do whats in the parentheses

So it will look like this

14a+16=86 now you want to get 14a by itself so -16 from 86

then you get 14a=70

now divide 14a from 70 and your answer is 5

a=5

Answer:

[tex] \frac{3}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} \times \frac{1}{4} [/tex]

[tex] = \frac{3 \times 1}{5 \times 4} [/tex]

Simplify

[tex] = \frac{3}{20} [/tex]

If you have any more questions please let me know.

Answer:

[tex]$\large\boxed{\frac{3}{20} = 0.15} $[/tex]

Step-by-step explanation:

[tex]$\frac{3}{5} \cdot \frac{1}{4} = \frac{3 \cdot 1}{5 \cdot 4}=\frac{3}{20} = 0.15 $[/tex]

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Answer:

-9/5

Step-by-step explanation:

Suggestion:  If you are dividing by 6x - 11, enclose 6x - 11 inside parentheses to remove any doubt:

            9x

g(x) = -----------

          (6x - 11)

To find g(1) replace x with 1 in the following:

            9x

g(x) = -----------

          (6x - 11)

obtaining ...

            9(1)               -9

g(1) = -------------  =  ----------

          (6[1] - 11)           5

Answer:

Euh t years old means ?

Step-by-step explanation:

i don't get it

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14  ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

Answer: -3 and 5

Step-by-step explanation:

good luck!

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

Answer:

-4

Step-by-step explanation:

-5x-10=10

add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other

-5x=20

divide -5 into 20

x = -4

Answer:

the answer is 1

Step-by-step explanation:

Answer:

4t

Step-by-step explanation:

All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.

Answer:

The answer is D - cannot be determined

Step-by-step explanation:

Answer:

B. 14.0

Step-by-step explanation:

just took the test

Answer:

11/6 as an  improper fraction

Step-by-step explanation:

1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal  

Answer:

C (6*2)

Step-by-step explanation:

Answer:

6 times 2

Step-by-step explanation:

Im not completely confident though so check other answers

Answer:

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its interior opposite angles.If any side of a triangle is extended, then the exterior angle so formed is the sum of the two opposite interior angles of the triangle. In the given figure, the side BC of angle ABC is extended.

Answer:

50 Minutes

Step-by-step explanation:

For the empty tank to hold the same amount of water, we can simply take the total water of the full tank divided by the rate, divided by two to allow both tanks to be equal, aka, half.

500 L / 5 L per minute / 2

100 minutes / 2

50 minutes.

For both tanks to have the same amount of water, 250L, it would take 50 minutes with a flow rate of 5L per minutes.

Cheers.

Answer: Choice C

[tex]0 \le d \le 2[/tex]

Graph with filled in circles at d = 0 and d = 2, shading in between

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

Explanation:

d = amount downloaded in gigabytes

The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means [tex]0 \le d \le 2[/tex]

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

Answer:

False.

Step-by-step explanation:

This is false.

When we carry out the operation -7 + 9, this equals 2.

When we carry out the operation -9 + 7, this equals -2.

Therefore, this is false because of the Commutative Property. It states that

a + b = b + a. Therefore, the equation is only true if both a terms would be negative. It can also apply for b terms.

Answer: The equation is false.

Step-by-step explanation:

So we have this equation here:

-7 + 9 = -9 +7

This equation may look like the Commutative Property, but be CAREFUL! It is NOT the Commutative Property because the Commutative Property has the same numbers, not different numbers.

Here is an example of the Commutative Property:

7 - 8 = -8 + 7

5 + 6 = 6 + 5

Did you notice that if there is a negative sign, when it switches (or commutes) the number keeps the negative sign?

Well if this is the case, then let's apply it to this problem.

-7 + 9 = -9 + 7

-7 and 7 are two different numbers, as are -9 and 9

So it is not the same thing as:

-7 + 9 = 9 - 7

Notice that 7 keeps the negative sign.

Even if we solve this problem, it is false.

-7 + 9 = -9 + 7

2 = -2 is not a equality! 2 and -2 are NOT the same.

Therefore, the equation is false!

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (4,-2) and ( -1, 10)

The distance between them is

[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]

We have the final answer as

Hope this helps you

Answer:

Cylinder Volume = PI * radius^2 * height

Radius = Square Root [Volume / (PI * height)]

Radius = Square Root [ 134 / (3.14 * 7.1)]

Radius = 2.45103

Radius = 2.45

Step-by-step explanation: