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3 years ago

(-2 + 1)² + 5(12 3) - 9. The value of the expression is ?

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Answer:

The total value of the given expression is 12.

Step-by-step explanation:

(-2 + 1)² + 5(12 ÷ 3) - 9

First, do the expressions within the parentheses.

(-1)² + 5(4) - 9

Next, simplify the exponents.

1 + 5(4) - 9

Next, multiply 5 by 4.

1 + 20 - 9

Add 1 and 20 together.

21 - 9

Subtract 9 from 21.

So, the final answer to this equation is 12.

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a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8

viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0

3 years ago

Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks

Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be $x$ , and let the number of pairs Lucy has be $y$ .

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

$\frac{1}{3}x + 4 = y$ .............................. equation 1

Also , Lucy has at most 9 pairs of socks , this means that

$y\leq 9$ ....................................... equation 2

Equating the two equations , we have

$\frac{1}{3}x + 4 \leq 9$

multiply through by 3

$x + 12\leq 27$

subtract 12 from both sides

$x\leq 15$

Therefore , the sister has at most 15 pairs of socks

4 0

3 years ago

4 3/4 divided by 1 1/6

ozzi

Answer:

$2\frac{13}{22}$

Step-by-step explanation:

$=\frac{19}{4}\div \frac{11}{6}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{19}{4}\times \frac{6}{11}$

$=\frac{19}{2}\times \frac{3}{11}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{19\times \:3}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57$

$=\frac{57}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22$

$=\frac{57}{22}$

$=2\frac{13}{22}$

5 0

2 years ago

An item is regularly priced at $50. It is on sale for 40% off the regular price. What is the sale price?

frez [133]

Answer:

30 dollars

Step-by-step explanation:

40% of 100 = 40. 40% of 50 = 20. 50-20 = 30.

8 0

2 years ago

Read 2 more answers

8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d

ira [324]

Step 1

Find the area of one equilateral triangle

Applying the law of sines

$Area=\frac{1}{2} *a*b*sin C$

in this problem

a=b=7 cm

C=60 degrees

$Area=\frac{1}{2} *7*7*sin 60$

$Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2} \\ Area=49*\frac{\sqrt{3}}{4}$ cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by $6$

$Area Hexagon=6*[49*\frac{\sqrt{3}}{4}] \\ Area Hexagon=73.5*\sqrt{3}$ cm²

therefore

the answer is the option

73.5 sqrt 3cm²

3 0

3 years ago

Read 2 more answers