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daser333 [38]
3 years ago
14

Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

The constraints are

x+y\geq 14

2y+x\leq 20

x\geq 0

y\geq 0

Step-by-step explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

x+y\geq 14 --------> inequality A

2y+x\leq 20 -------> inequality B

x\geq 0 -------> inequality C  (cannot be a negative number)

y\geq 0 ------> inequality D  (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure

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zavuch27 [327]

Answer:

9) \$1236.27\,10)\,\$6451.07\, 11)\,\$10,152.87 \,12)\,\$907.95 \,13)\,\$4957.69

Step-by-step explanation:

9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:

A=P(1+\frac{r}{n})^{nt} ⇒ Amount (A), Principle (P), rate (r) in decimal form, number of compoundings (n) a year and t, in year or its fractions.

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=1200(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A=\$1236.27

10) Aubrey Daniel's case:

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=5725(1+\frac{0.04}{4})^{4*3}\Rightarrow A\approx \$6451.07

11) As for Angelo, similarly to Alicia.

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=9855(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$10,152.87

12) Simpson's. For semiannual n=2

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=860(1+\frac{0.055}{2})^{2*1}\Rightarrow A\approx \$907.95

13) Jana Lacey amount:

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=4860(1+\frac{0.04}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$4957.69

6 0
3 years ago
1. Locate a menu for your favorite restaurant and pick three items for yourself and each friend.
ddd [48]

Answer:

Wat the heck?

Step-by-step explanation:

Is this hw cus I feel bad for ya!

6 0
3 years ago
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Martha changed 350 US dollars into 385 Australian dollars. How many Australian dollars did she receive for each US dollar?
Leni [432]

Answer:

For each US dollar she gets 1.1 AUS dollars

Step-by-step explanation:

350US for 385AUS

350:385 divide by 350

1 : 1.1

6 0
3 years ago
The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have? 9 16 18 20
notka56 [123]
The polygon would have 18 sides. Hope this helps!
8 0
3 years ago
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There were 3232 volunteers to donate blood. Unfortunately, nn of the volunteers did not meet the health requirements, so they co
Degger [83]

Answer:

\frac{470}{32-n}  

Step-by-step explanation:  

We have been given that there were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate.            

So the number of volunteers that donated blood will be 32-n.

We are also told that the rest of the volunteers donated 470 milliliters each.

To find the units of blood donated by each of the volunteers we will divide total units of donated blood by number of volunteers, who donated the blood (32-n).

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Therefore, each of the volunteers donated \frac{470}{32-n} millimeters of blood.  

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3 years ago
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