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2 years ago

Can somebody teach me how to do this?

Mathematics

1 answer:

galina1969 [7]2 years ago

4 0

Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.

I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.

3 / 1 = 6 / 2 = 9 / 3 = 30 / 10

...And so on

Another example, 5:6 = 5 / 6.

5 / 6 = 10 / 12 = 15 / 18 = 30 / 36

To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.

Hope this helps!

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Toni can carry up to 18 Ib in her backpack. Her lunch weighs 1 1b,her gym clothes weigh 2 1b, and her books (b) weigh 31b each.H

Goshia [24]

Answer:

5 books.

Step-by-step explanation:

She can carry 18 pounds in total. She already has her lunch and her gym clothes inside her bag, which take up 1 + 2 = 3 pounds. Since 3 pounds are taken, that leaves 18 - 3 = 15 pounds for her books. Each book is 3 pounds, so she can carry 15/3 = 5 books in her backpack.

4 0

3 years ago

How to find (c,d,e)<br>Please do a step by step working.Thank you.

Natasha2012 [34]

(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
   $\frac{t + 1}{2}$ = y
Answer for (a): $g^{-1}(t)$ = $\frac{t + 1}{2}$

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: $y =\frac{t - 3}{4}$

Answer for (b): $h^{-1}(t)$ = $\frac{t - 3}{4}$

(c)
$g^{-1} ( h^{-1}(t)) = g^{-1} (\frac{t - 3}{4})$
replace all t's in the $g^{-1}(t)$ equation with $\frac{t - 3}{4}$
$g^{-1} (\frac{t - 3}{4})$ = $\frac{ \frac{t-3}{4} + 1}{2}$
= $\frac{ \frac{t-3}{4} + \frac{4}{4}}{2}$ = $\frac{ \frac{t - 3 + 4}{4}}{2}$ = $\frac{ \frac{t + 1}{4}}{2} = \frac{t + 1}{8}$
Answer for (c): $g^{-1} ( h^{-1}(t))$ = $\frac{t + 1}{8}$

(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
t + 1 = 8y
$\frac{t + 1}{8}$ = y
Answer for (e): inverse of h(g(t)) = $\frac{t + 1}{8}$

8 0

3 years ago

A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competit

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

got it right

3 0

3 years ago

Read 2 more answers

En una fábrica, dos trabajadores llenan envases de gel

mojhsa [17]

Responder:

Contenedor 24

Explicación paso a paso:

Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;

Múltiplos de:

8: 8, 16, 24, 32, 40, 48, 56, ...

12:12, 24, 26, 48, 60, ....

Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.

Llenarán 24 contenedores

4 0

3 years ago

A hose is able to fill a pool in 17 hours. The drain in the bottom of the pool will drain a pool in 32 hours. If both

Alisiya [41]

Answer:

36hr 16min

Step-by-step explanation:

1pool/17hr - 1pool/32hr = 1 pool/xhr

1/17 - 1/32 = 1/x

Use common denomminator of 17*32 = 544

32/544 - 17/544 = 1/x

15/544 = 1/x

x = 544/15

x = 36 4/15 hr

x = 36hr 16min

8 0

3 years ago