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3 years ago

Make arguments. Sue said that 200+20+23 is the same as 200+30+3. Is she correct? Explain.

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

No she is not correct if she said 200+20+23 was the same as 200+40+3 she would have been correct.

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A car is traveling at a speed of 25 meters per second what is the cars speed in kilometers per hour how many kilometers will the

Likurg_2 [28]

Answer:

90 km/h
180 km

Step-by-step explanation:

There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...

$\dfrac{25\,m}{s}\cdot\dfrac{1\,km}{1000\,m}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{90\,km}{h}$

The car's speed is 90 km/h.

In 2 hours, the car will travel ...

distance = speed · time = (90 km/h)(2 h) = 180 km

7 0

3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

2 years ago

The ratio of green food coloring to blue food coloring is 1:2. If we use 6 drops of blue, how many drops of green will we need?

labwork [276]

1:2 means for every 1 drop of green there was 2 blue

6/2 = 3

3 drops of green

6 0

3 years ago

Help me answer this thanks

patriot [66]

The first fourth and sixth would be the answer

3 0

3 years ago

June gavyn and Alex share some sweets in the ratio 3:5:4 June gets 39 sweets how many sweets are there altogether?

NeX [460]

Answer:

146

Step-by-step explanation:

j=3 13 = 39

g=5 13 = 65

a=4 13 = 42

6 0

3 years ago

Read 2 more answers