Find the distance between the two points rounding to the nearest tenth (if necessary).

Mathematics

1 answer:

scZoUnD [109]3 years ago

3 0

-8/-6 or 8/6 is your answer

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Solve by substitution -3x-2y=5.5 x+3y=7.5

Naddika [18.5K]

$\bf \begin{cases} -3x-2y=5.5\\[-0.5em] \hrulefill\\ x+3y=7.5\\ \boxed{x}=7.5-3y \end{cases}~\hspace{5em}\stackrel{\textit{substituting \underline{x} in the 1st equation}}{-3\left( \boxed{7.5-3y} \right)-2y=5.5} \\\\\\ -22.5+9y-2y=5.5\implies -22.5+7y=5.5\implies 7y=28 \\\\\\ y=\cfrac{28}{7}\implies y=4 \\\\\\ \stackrel{\textit{substituting the found \underline{y} in the 2nd equation}}{x+3(4)=7.5\implies x+12=7.5}\implies x=-4.5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-4.5,4)~\hfill$

5 0

3 years ago

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the

sashaice [31]

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

4 0

3 years ago

6/11 divided by 2/5

kow [346]

$\frac{6}{11} \div \frac{2}{5} = \frac{6}{11} \times \frac{5}{2} = \frac{3 \times 5}{11} = \frac{15}{11}$

7 0

3 years ago

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Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number

mamaluj [8]

Okay, so we start at 170

170

then we add 30 to reach the number 200

170+30=200

then we add 200 to reach the number 400

200+200=400

then we add 10 to reach 410

400+10=410

The benchmark numbers are bolded...

8 0

3 years ago

A total of 428 tickets sold for the school play. They were either adults tickets or student tickets. The number of students tick

Ulleksa [173]

107 Adult tickets were sold.

Total tickets sold = 428

428÷4=107 (split into four equal groups)

107×3=321 (amount of student tickets sold) (this is 3/4 of the total amount sold)

107×1=107 (amount of adult tickets sold) (this is 1/4 of the total amount sold)

321+107=428 (amount of tickets sold total)

321 (amount of student tickets sold) is three times the number of adult tickets sold. (107) 107×3=321

4 0

3 years ago