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Elena-2011 [213]
3 years ago
7

At their​ family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11

pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6​ hours, how many pizzas will they make in​ all?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

47 pizzas

Step-by-step explanation:

Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.

If the number of hours after the first hour  is represented as x, then the number of pizzas he makes after x hours is:

6 + 3x

Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:

11 + 3x

The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.

This means that:

x = 5

The total amount of pizzas that Dave and Lauren make is:

6 + 3x + 11 + 3x

=> 17 + 6x

Therefore, the total amount of pizza they make 5 hours after the first hour is:

17 + 6(5) = 17 + 30 = 47 pizzas

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#27

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3 years ago
Show the work please
Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

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rearrange the equation

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divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

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rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

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(x + 1/5)^2 = 5 + 1 by 25

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taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

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3 years ago
In order to estimate the average time spent on the computer terminals per student at a local university, data were collected fro
Ksju [112]

Answer:

d. 0.133

Step-by-step explanation:

-Standard error is  calculated using the formula:

E=\frac{\sigma}{\sqrt{n}}\\\\\sigma-=standard \ deviation\\n=sample \ size

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E=\frac{\sigma}{\sqrt{n}}\\\\=\frac{1.2}{\sqrt{81}}\\\\=0.133

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7 0
3 years ago
Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e
Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

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As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= 50\ miles - 7\ miles= 43\ miles

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

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Norma-Jean [14]

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

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Therefore, Shaneeka live from Phil 7/33 mile far.

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3 years ago
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