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melisa1 [442]
3 years ago
14

Kathy wants to do a fundraising for her school. She can’t sell more than 6 pies of cheese pizza and she can sell at least most 5

pies of pepperoni pizza. Kathy can only have a total of 10 pizza pies. Hint: Kathy can’t sell negative pies of pizzas.
What is the two inequalities?
Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

x≤6

y≤5

x+y≤10

Step-by-step explanation:

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Dmitry [639]
(1) Using trigonometric ratios:
sin(30) = \frac{YZ}{50}
YZ = 25

(2) Using Pythagoras' Theorem:
cos(30) = \frac{XY}{50}
50cos(30) = XY
50^{2} - 50^{2}cos^{2}(30) = YZ^{2}
2500 - 2500cos^{2}(30) = YZ^{2}
YZ = 25

(3) Using sine rule:
\frac{50}{sin(90)} = \frac{YZ}{sin(30)}
50 = \frac{YZ}{sin(30)}
50sin(30) = YZ
YZ = 25
7 0
3 years ago
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You invest $5,000 in a savings account paying 4% interest compounded quarterly. How much is in the account after 5 years if ther
Hitman42 [59]
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2 years is $5408
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3 years ago
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LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?
Mazyrski [523]

Answer:

LN = 55

Step-by-step explanation:

Given

LN = 12w + 7

LP = 15w - 5

Required

Determine LN

Since LM is a bisector, then we have:

LP = LN (See attachment for illustration)

15w - 5 = 12w + 7

Collect Like Terms

15w - 12w = 5 +7

3w = 12

Solve for w

w = 12/3

w = 4

LN is calculated as thus:

LN = 12w + 7

Substitute 4 for w

LN = 12 * 4 + 7

LN = 48 + 7

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8 0
3 years ago
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 wo
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Solution :

a). The point estimate of proportion of college graduates among women who work at home,

$\hat p =\frac{166}{506}$

  = 0.3281

99.5% confidence interval

$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$

$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times  (1- 0.3281)}{506}} \right)$

$=(0.3281 \pm 0.0586)$

$=(0.2695, 0.3867)$

6 0
3 years ago
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lora16 [44]

Answer:

The mass is greater by 10.502 grams. If you subtract 27.33 from 16.718, you get  10.502. Therefore, the mass of the second coin is greater than the first coin by 10.502 grams.

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