The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm

Answer:

21 and 30

Step-by-step explanation:

x + y = 51

x - y = 9

add the two equations and y's will cancel out

2x = 42  divide by 2

x = 21   so put 21 in for x in the top equation and solve

21 + y = 51

y = 30

Answer:

it is posible...because tha polynomial have expression than two algebriac

Answer:

n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.

Step-by-step explanation:

An integer is a number that is not a fraction.

Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:

18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.

From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:

√(18 x 17 x 34) = √(10404) = 102

The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17

The expression is given as:

[tex]\sqrt{18\cdot n \cdot 34}[/tex]

Expand the equation

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]

Express 8 as 3^2

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]

Rearrange the factors as follows:

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]

Express 2 * 2 as 2^2

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]

Evaluate all exponents

[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]

[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]

For the expression to be an integer, then the radical must be a perfect square.

Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least

i.e.

[tex]n = 17[/tex]

Hence, the least possible positive integer-value of n is 17

Read more about integers at:

https://brainly.com/question/13136492

Answer:

5,2

Step-by-step explanation:

Here, we want to find the point that is a solution to the system of inequalities

From what we have, the points that lie in the dark brown patch represent the solution to the system

Hence the coordinates lying in these parts are the solution to the system

An example of such coordinates is the point (5,2)

Answer: Choice C) 6x+5y = -20

You have the correct answer. Nice work.

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

Work Shown:

y = (-6/5)x - 4

5y = 5*( (-6/5)x - 4 )

5y = 5*(-6/5)x - 5*4

5y = -6x - 20

6x+5y = -20

-----------

Explanation:

In the second step, I multiplied both sides by 5 to clear out the denominator. Two steps later (step 4), we have 5*(-6/5)x turn into -6x, so the fraction goes away.

In the last step, I added 6x to both sides to get the equation into standard form Ax+By = C. In this case, A = 6, B = 5, and C = -20.

Answer:

2/3, 2 and 1/6, 9/2

3:4 or 3/4

38%, 19/50, 0.38

97%, 97/100, 0.97

Step-by-step explanation:

Answer:

Step-by-step explanation:

5) Red :  Green = 15 : 20 = 3 : 4

6) a) 28%

[tex]\frac{28}{100}[/tex]

0.28

b) 97%

97/100

0.97

Answer:

399.8 feet

Step-by-step explanation:

Since the angle of elevation of the top of the tower from the building is Ф = 37°, and the distance between the tower and the building is x = 275 feet. Let the upper part of the tower be h. These three components from a right-angled triangle with opposite side = h and adjacent side = x. So, by trigonometric ratios,

tanФ = h/x

h = xtanФ

= 275 feet × tan37°

= 275 feet × 0.7536

= 207.23 feet

Also, the angle of depression of the bottom of the tower from the building is Ф' = 35°, and the distance between the tower and the building is x = 275 feet. Let the lower part of the tower be h'. These three components from a right-angled triangle with opposite side = h' and adjacent side = x. So, by trigonometric ratios,

tanФ' = h'/x

h' = xtanФ'

= 275 feet × tan35°

= 275 feet × 0.7002

= 192.56 feet

So, the height of the tower, H = h + h'

= 207.23 feet + 192.56 feet

= 399.79 feet

≅ 399.8 feet

Answer:

The volume of a juice box is 18 cubic inches.

Step-by-step explanation:

Given the dimensions

Interpreting the dimensions such as:

Using the formula to determine the volume

[tex]V=\:l\:\times \:w\:\times \:h[/tex]

substitute l = 3, w = 3/2, h = 4

[tex]V=3\times \frac{3}{2}\times \:4[/tex]

[tex]V\:=\:\frac{36}{2}[/tex]

[tex]V = 18[/tex] cubic inches

Therefore, the volume of a juice box is 18 cubic inches.

Answer:

Step-by-step explanation:

4. D. 4

5. D. 10a + 10

6. 11 and 71

7.  27.5 and 39.25

Answer:

i think it is a but i am not sure please let me know

Step-by-step explanation:

good luck!

Answer:

dhjshsjshshhshsgsgsgsggdd

Answer:

$64.00

Step-by-step explanation:

64-75%

The value of the inverse function f⁻¹(x) at x = 3 is 0.631.

The inverse function is defined as a function obtained by reversing the given function.

The function f(x) = 3ˣ is a one-to-one function, which means it has an inverse function denoted by f⁻¹(x).

To find the value of f⁻¹(x) at x = 3, we need to solve the equation f(x) = 3ˣ = 3 for x.

3ˣ = 3

Divide both sides by 3:

3ˣ/3 = 3/3

Simplify:

3ˣ-1 = 1

Take the natural logarithm of both sides:

ln(3ˣ-1) = ln(1)

Simplify:

ln(3ˣ-1) = 0

Now we can solve for x:

ln(3ˣ-1) = 0

3ˣ-1 = e⁰ = 1

3ˣ = 2

x = log₃(2)

So, f⁻¹(3) = log₃(2) ≈ 0.631.

Therefore, the value of f⁻¹(x) at x = 3 is 0.631.

Learn more about inverse functions here:

brainly.com/question/2541698

#SPJ2

Answer:

Its gonna equal itself which is 14n^4

Step-by-step explanation:

14n4

=14*n4

=14*(n*n*n*n)

=14n4

Answer:

1.25X+3

Step-by-step explanation:

(-4,8) AND (4,-2)

Rise

-------

Run

8+2 =  10

-4-4=  -8

1.25

from the y intercept 0, the line is a 3, (0,3)

Answer:  So  Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727

So Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.

Step-by-step explanation: Have a blessed  day and hope this helps.

My reasoning is in there. I calculated I hope that is helps a lot. god bless you

Answer:

Well -19 is less than -21 so it's the other three.

So it's -30, -100 and -25

Answer:

6x+50 is the answer if u simplify it

Step-by-step explanation:

Answer:

6x+50

Step-by-step explanation:

Distribute the 5 and add

5x+50+x=6x+50

Answer:

Step-by-step explanation:

2193.67

10%=219.367

5%=109.6835

1%=21.9367

21.9367 +21.9367 +21.9367 +109.6835 +219.367=394.8606

394.87 rounded to 2dp

Answer: 4 miles = 16 min

4 miles : 16 min

Step-by-step explanation:

You have to multiply by the same number

The unit rate that describes Mr. Roble's trip to the store is 0.25 miles per minute.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Mr. Roble is traveling to the store and drives 4 miles in 16 minutes.

∴  The unit rate that describes Mr. Roble's trip to the store is,

= (4/16) miles per minute.

= 1/4 or 0.25 miles per minute.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ5

Answer:

262.50

i think thats the answer.

Answer:

$162.50

Step-by-step explanation:

75% of 150 is 112.5

112.5 + 150 = 162.5

Answer:

k=-2

Step-by-step explanation:

2(6k+8)-6k=4

12k+16-6k=4

6k+16=4

6k=-12

k=-2

Answer:

Additive inverse: a+(-a)=0

Additive identity: a+0=a

Multiplicative inverse: a•1/a=1

Multiplicative identity: a•1=a

Step-by-step explanation:

Answer:

219.50

Step-by-step explanation

9.75% can be converted into 0.0975 so multiply  0.0975 by 200 you get 19.5. add 19.5 to 200 and you get 219.50

Answer:

Follow the rule of BODMAS (brackets, of, division, multiplication, addition, subtraction)

Ans: 58

Step-by-step explanation:

42 + 4(6 - 2)                           Process --> 6 - 2 = 4

= 42 + 4 * 4                            Process --> 4 * 4 = 16

= 42 + 16                                Process --> 42 + 16 = 58

= 58

Hope this helps :)