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3 years ago

A map has a scale of 3 cm: 18 km. If Riverside and Smithville are 54 km apart then how many cm is that on a map?

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

9 cm

Step-by-step explanation:

If the scale is 3cm:18 km, then x cm : 54km will be the distance between Riverside and Smithville. Since 18 *3 = 54 then 3cm * 3 = 9cm. On the map they are 9 cm apart.

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Rewrite -4/15 as an equivalent fraction

timofeeve [1]

$(\frac{-4}{5} )$ in the form of Equivalent Fraction can be written as $\frac{-4x}{15x}$ , where "x" is any integer.

As per the question statement, we are provided with a fraction, $(\frac{-4}{5} )$ .

We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.

To solve this question, we need to know what an equivalent fraction is.

Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.

For example, $(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})$ all equate to $\frac{1}{2}$ when simplified.

Now, for this case, equivalent fractions of $(\frac{-4}{5} )$ are $(\frac{-8}{30}, \frac{-12}{45}, \frac{-16}{60},...)$ , where

$\frac{-8}{30}=\frac{(-4)*2}{15*2}\\\frac{-12}{45}=\frac{(-4)*3}{15*3}\\ \frac{-16}{60}=\frac{(-4)*4}{15*4}$

i.e., the equivalent fractions of $(\frac{-4}{5} )$ are in the form of $\frac{-4x}{15x}$ , where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)

Fractions: In mathematics, a fraction is a numerical entity that is not a whole number.

To learn more about fractions, click on the link below.

brainly.com/question/17912

#SPJ9

5 0

1 year ago

Write a polynomial as the sum of the monomials and write it in standard form. For each of the above specify the degree of the re

klio [65]

Answer:

2b³ +2a -2c . . . . degree 3 polynomial

Step-by-step explanation:

The monomials are ...

... 4a . . . . degree 1 in a

... -5b·b² = -5b³ . . . . degree 3 in b

... -3c . . . . degree 1 in c

... 7b³ . . . . degee 3 in b (like term with -5b³)

... +c . . . . degree 1 in c (like term with -3c)

... -2a . . . . degree 1 in a (like term with 4a)

So, we have 3 pairs of like terms. The like terms can be combined by summing their coefficients.

The degree of the polynomial is that of the highest-degree term. (Here, the b³ term makes it a polynomial of degree 3.)

... 4a -2a = (4-2)a = 2a . . . . combining the "a" terms

... -5b³ +7b³ = (-5+7)b³ = 2b³ . . . . combining the b³ terms

... -3c +c = (-3 +1)c = -2c . . . . combining the "c" terms

In standard form, we write the highest-degree term first. Follwing terms are in order by decreasing degree. It is convenient, but perhaps not required, to then write the terms of the same degree in alphabetical order.

... = 2b³ +2a -2c . . . . a 3rd degree polynomial

7 0

2 years ago

A donation center had filled up 44 small bins with canned food with each bin containing 24 cans. They plan to send the cans out

Valentin [98]

Each food bank would receive 264 cans.

44 Bins with 24 cans. 44•24= 1,056

n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank

8 0

3 years ago

Rewrite the expression 2(x + 5) using the Distributive Property.

ehidna [41]

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) multiply the number outside the bracket i.e. in this case '2', with the values inside the brackets.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

2(x + 5)

= (2*x)+(2*5)

=2x+10

extention note: be careful when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

5 0

2 years ago

Find the mean 9,1,8,3,2,1 graphically.

adelina 88 [10]

10+11+3
21+3
24
24/6
The mean is 4

4 0

3 years ago