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4 years ago

3.2 cm on the map correspond to 4 km in the actual distance?

Mathematics

1 answer:

geniusboy [140]4 years ago

6 0

Answer:

Step-by-step explanation:

Here, 3.2 centimeters on the map is equivalent to 4 kilometers. We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to. Using the unitary method: Therefore, the scale of map represents 1.25 kilometers for each centimeter.

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If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30

4 0

2 years ago

A parabola y=1/2x^2-4x+21 can you help me find the vertex form of this parabola please and thank you :)

ale4655 [162]

Ok
First factor out the first 2 terms as follows:-

y = 1/2(x^2 - 8x) + 21

Now complete the square on x^2 - 8x:-

y = 1/2[ (x - 4)^2 - 16] + 21

y = 1/2(x - 4)^2 - 8 + 21

y = 1/2(x - 4)^2 + 13 Answer

3 0

3 years ago

Wh8ch equation represents a linear function: A, y=2x^+1 B, y^=3x+1 C, y=5x-1 D y=4x^^-1

Gemiola [76]

C is your answer since it is the only one without any exponents

4 0

3 years ago

Find the first six terms of the sequence. a1 = -3, an = 2 ● an-1

Sindrei [870]

The first term of the sequence is -3.

According to the formula each next term will be obtained by multiplying the previous term by 2.

So, next terms will be:

Second term = 2 x First Term = 2 x (-3) = - 6

Third term = 2 x (-6) = -12

Fourth term = -24

Fifth term = -48

Sixth term = -96

So, the sequence will be:

-3, -6, -12, -24, -48, -96 ...

5 0

3 years ago

You put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6% simple interest. How long will it take to earn $3

Minchanka [31]

Answer:

2 years

Step-by-step explanation:

I=prt

336=3000 x .056 x t

336= t x 168

336/168=t

t= 2 years

6 0

3 years ago