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3 years ago

Simplify each expressions: a) -72÷8+(-6)-2 b) -4+(-32)÷(-4×5)

1 answer:

3 0

$\bf -72\div 8+(-6)-2\implies \stackrel{\mathbb{PEMDAS}}{-72\div 8-6-2}\implies -9-6-2
\\\\\\
-15-2\implies -17\\\\
-------------------------------\\\\
-4+(-32)\div(-4\times 5)\implies \stackrel{\mathbb{PEMDAS}}{-4+(-32)\div(-20)}
\\\\\\
-4+1.6\implies -2.4$

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Find the arc length of the partial circle..

Gala2k [10]

Answer:

The arc length of the partial circle is $6\pi\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

In this problem we have a 3/4 of a circle

the circumference is equal to

$C=(\frac{3}{4})2\pi r$

$C=\frac{3}{2}\pi r$

we have

$r=4\ units$

substitute

$C=\frac{3}{2}\pi (4)$

$C=6\pi\ units$

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3 years ago

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co

laila [671]

For the answer to the two questions above,
3x + 2y = 36.50 (I)
2x + 5y = 50 (II)
Eliminating x from the two equations by subtraction:
first we multiply equation I by 2 and equation II by 3
6x + 4y = 73
6x + 15y = 150
Subtracting the two,
-11y = -77
y = 7
He earns $7 at the coffee cart
Substituting y into equation I,
3x + 14 = 36.5
x = $7.50

So we can conclude that, he earns a greater wage of $7.50 at the library,

6 0

3 years ago

Read 2 more answers

Given the equation y=2x+4, what is the value of y when x=5? *

Law Incorporation [45]

Y=2(5)+ 4
Y= 10+4
Y = 14

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2 years ago

Shapes A and B are similar.

kari74 [83]

The scale factor from A to B is 5/3 and the value of r is 33/5

<h3>The scale factor from A to B</h3>

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

<h3>The value of r</h3>

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5