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3 years ago

Distributive property of 18+24

Mathematics

1 answer:

Stolb23 [73]3 years ago

3 0

Distributive property: a(b + c) = ab + ac.

We have 18 + 24

18 = 6 · 3

24 = 6 · 4

Therefore

18 + 24 = 6 · 3 + 6 · 4 = 6 · (3 + 4)

<h3>Answer: 18 + 24 = 6 · (3 + 4)</h3>

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The length of the line segment AB equals 3x+1 BC equals 4x-5 AC equals 8x-9

yanalaym [24]

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

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3 years ago

Help Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

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3 years ago

What is 400000, 13000, 1100, 4 ones in standard form

Lesechka [4]

413,114

i think... lol

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3 years ago

Perfect Pizza has 12 toppings listed on their menuHow many ways could customer choose a pizza that contains 4 different toppings

Feliz [49]

Answer:

Step-by-step explanation:

i would say 3 different ways because 4 x 3 = 12

Hope this helps!

6 0

2 years ago

there are 148 juniors and 272 seniors attending prom this year. if there must be three chaperones per 60 students, how many chap

valkas [14]

21 chaperones are needed for 420 students.

Step-by-step explanation:

No. of juniors = 148

No. of seniors = 272

Total = 148+272 = 420 students

3 chaperones = 60 students

1 chaperone = $\frac{60}{3}=20\ students$

Ratio of chaperon to students = 1:20

Let,

x be the number of chaperons for 420 students.

Ration of chaperones to students = x:420

Using proportion

Ratio of chaperones to students :: Ratio of chaperons to students

$1:20::x:420$

Product of mean = Product of extreme

$20*x=420*1\\20x=420\\$

Dividing both sides by 20

$\frac{20x}{20}=\frac{420}{20}\\x=21$

21 chaperones are needed for 420 students.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

3 0

3 years ago