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SVEN [57.7K]
2 years ago
11

Ms. Hartman spent $31.50 on pies for a party. Each pie costs the same amount. Ms. Hartman bought 6 pies. How much did she spend

on each pie?
Mathematics
2 answers:
TiliK225 [7]2 years ago
6 0

Answer:

it cost 5.25 because if u divide 31.50 by 6 it gives u that

9966 [12]2 years ago
4 0

Answer:

$5.25

Explanation:

$31.50/6 = $5.25

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Given that R = 3x + 9y
Bingel [31]

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

7 0
3 years ago
Factor the expression completely: 4x - 48
kherson [118]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas
Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as \sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} }  ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\

Using these result in equation a we get

f(x) = \sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = f '(x)=\sqrt{2}  \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2  => x<π/4  => x∈[0,π/4]

2) π/4 + x > 3π/2  => x > 5π/4  => x∈[5π/4,2π]

from conditions 1 and 2 we have  x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0
3 years ago
A box contains 5 purple marbles, 3 green marbles, and 2 orange marbles. Two consecutive draws are made from the box without plac
lana66690 [7]
There are 2 orange marbles, 3 green marbles, & 5 purple marbles

two consecutives draws <em>without</em> replacement

Orange first, green second

Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of <em>Orange first, green second</em>

Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or <em>44% chance of both being purple</em>

first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of <em>first purple, then anything but purple</em>


hope this helps
4 0
3 years ago
Y = −5x + 3<br><br> slope = −5<br> −3<br> 5
Aleks04 [339]
First ypu solve the yintercept amd then the x intercept
8 0
3 years ago
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