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3 years ago

Use your answer to the last two problems to complete this equation 7 - 4 equals 7 +

Mathematics

1 answer:

I am Lyosha [343]3 years ago

6 0

Answer:

7-4=7+(-4) this is what the equation is looking like when finished

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Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

 $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago

Fritz is recording the decay of radioactive material. The table displays the

damaskus [11]

Answer:

Every week, the radioactivity decreases by a factor of 5

After 1 week, it goes from 5,000 to 1,000

2 weeks 1,000 / 5 =200

3 weeks 200 / 5 = 40

4 weeks 40 / 5 = 8

5 weeks 8 / 5 = 1.6

6 weeks 1.6 / 5 = 0.064

7 weeks 0.064 / 5 = 0.0128

8 weeks .0128 / 5 = 0.00256

9 weeks 0.00256 / 5 = 0.000512

10 weeks 0.000512 / 5 = 0.0001024

Step-by-step explanation:

3 0

2 years ago

Alaina surveyed students on her bus about their homework.The data she gathered is shown in this two-way table.

Varvara68 [4.7K]

YOUR ANSWER MIGHT BE 2

5 0

3 years ago

Read 2 more answers

What is the smallest Square number using 5 roman numerals?

In-s [12.5K]

Answer:

The answer is "1"

Step-by-step explanation:

Let 5 roman numbers are:

$\to I=1\\\\\to II=2\\\\\to III=3\\\\\to IV= 4\\\\\to V=5$

There square values are as follows:

$\to 1^2=1\\\\\to 2^2=4\\\\\to 3^2=6\\\\\to 4^2=16\\\\\to 5^2=25$

The smallest square number is= 1.

3 0

3 years ago

a section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. what is the amount of gold per cubic meter? explai

I am Lyosha [343]

The answer

the amount of gold per cubic meter can be found by the ratio

0.78 g /1 .5 cubic meters = 0.52 g / cubic meter,
proof
it was said the amount of gold per cubic meter (Density)

7 0

3 years ago

Use your answer to the last two problems to complete this equation 7 - 4 equals 7 + ​

Use your answer to the last two problems to complete this equation 7 - 4 equals 7 +