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3 years ago

Idenify the prime numbers 5,7,12,11

Mathematics

2 answers:

alina1380 [7]3 years ago

6 0

The prime numbers in the list given are 5, 7, and 11. 12 is not one of the prime numbers.

ArbitrLikvidat [17]3 years ago

5 0

5, 7, and 11 are prime numbers.

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XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to

Strike441 [17]

9514 1404 393

Answer:

{20, 20, 20, 40} units to {A, B, C, D}
{0, 0, 0, 100}

minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

Then the remaining shipments are fulfilled from Plant 1.

Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

100×10 +20×24 +20×21 +20×19 +40×18

= 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost

6 0

2 years ago

At Michael's Craft Store, the paiat set that you

andrew11 [14]

Answer:

Step-by-step explanation:

10 percent off of 26 would be 23.4, then 40 percent off of 23.4 would be 9.36

8 0

3 years ago

How much water should be mixed with 237 ml of ammonia, whose strength is 100%, in order to create a mixture that is diluted to

Vedmedyk [2.9K]

Let the x ml of water be mixed with 237 ml of ammonia whose strength is 100%, in order to create a mixture of 75% strength.
The equation required to solve this will be:
237/(237+x)=75/100
solving for x we get:
237/(237+x)=3/4
237×4=3(237+x)
948=711+3x
3x+711=948
3x=948-711
3x=237
x=237/3
x=79 ml
therefore the amount of water to be added will be 79 ml

3 0

3 years ago

Read 2 more answers

Write and solve the equation. Show all work.

GarryVolchara [31]

X/2-20=22
440 is your answer

6 0

3 years ago

Read 2 more answers

Savannah earns $247.00. How many hours did she work?

vivado [14]

Answer:

1. 8.25

2. Savannah

Earnings of Savannah: $190

Earnings of Greg: $180

Earnings of Kevin: $165

4. 26 Hours

5. 55.55 hours (or 56 hours)

Step-by-step explanation:

Full Question Shown in the Image Attached.

Constant of Proportionality is the constant value (k) of two proportional quantities.

Here, it is hours vs. wage.

It is usually y divided by x.

In this problem, hours worked is "x" and wage is "y". We can take the first row of Kevin's wages from table and find the constant of proportionality.

$\frac{Wage}{Hour}=\frac{16.5}{2}=8.25$

Thus, the constant of proportionality is 8.25

We can find the highest hourly wage by first finding the unit rate, or the hourly wage for each person. Then we will compare between the 3 person.

For Savannah:

We divide the total wage (Earned Column) divided by Hours.

$\frac{19}{2}=9.5$

Hourly wage is 9.5

For Greg:

We do the similar division shown below:

$\frac{27}{3}=9$

Hourly wage is 9

For Kevin:

Again, doing the same process, we get:

$\frac{16.5}{2}=8.25$

Hourly wage is 8.25

By comparing the hourly wages of 3 people, we see that the highest hourly wage is that of Savannah's.

We know hourly wage for each person. To know how much each one makes if they work 20 hours, we have to multiply 20 with their respective hourly wages.

Earnings of Savannah: 20 * 9.5= $190

Earnings of Greg: 20 * 9 = $180

Earnings of Kevin: 20 * 8.25 = $165

Since she earn's $247 and her hourly wage is 9.5, we can find the hours she worked by dividing her earnings (247) by the hourly wage (9.5). Hence,

$\frac{247}{9.5}=26$

Thus, Savannah worked 26 hours

For Greg to earn 500 dollars, we need to divide his earnings (500) by his hourly wage, which is $9 per hour. Thus we have:

$\frac{500}{9}=55.55$

So, Greg needs to work 55.55 hours to earn $500. If fractional hours are not possible, then Greg needs to work 56 hours.

7 0

3 years ago