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Ipatiy [6.2K]
3 years ago
9

Luke buys 7 new pencils. Now he has 21 pencils. How many pencils did Luke have at first?

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0

Answer:

21-7

14

Step-by-step explanation:

Luke had 14 pencil at first

Pani-rosa [81]3 years ago
5 0

Answer:

14

Step-by-step explanation:

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Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu
Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

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7 0
1 year ago
Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he ha
Alborosie

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

8 0
2 years ago
Drag each tile to the correct box. Each tile shows an investor's tax bracket along with the tax-free yield of a bond the investo
shusha [124]

The tax bracket and tax-free yield will be (18%, 3%) < (32%, 3%) < (32% , 4%) < (22% , 5%) < (24% , 6%) .

<h3>Taxable equivalent yield based problem:</h3>

The taxable equivalent yield will be:

= Tax-free yield / (100 - Tax bracket)

Taxable equivalent yield =  3 / (100 - 18) = 0.03659

Taxable equivalent yield = 6 / (100 - 24) = 0.07895

Taxable equivalent yield = 3 / (100 - 32) = 0.04412

Taxable equivalent yield = 5 / (100 - 22) = 0.06410

Taxable equivalent yield = 4 / (100 - 32) = 0.05882

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5 0
2 years ago
Keith recommends ordering 305 gray t-shirts and selling each t-shirt for $20. What is the financial risk of Keith’s recommendati
kap26 [50]

Answer:

do not sell them

Step-by-step explanation:

bc i  alredy did

8 0
2 years ago
Adi is t inches shorter than sunnee sunnee is n inches taller which expression repesent adies hight in inches
kramer

Answer:

adi's height = n-t inches

Step-by-step explanation:

from this question

we have Adi to be t inches shorter than sunnee.

sunnee's height = n inches tall

to get adis height, we have to subtract the height difference t from sunnee's height.

the height difference is how many inches by which Adi is shorter = t

adies height = sunnee's height, n - difference in height, t

= <em><u>(</u></em><em><u>n-t)</u></em><em><u> </u></em><em><u>inches</u></em>

<em><u>this </u></em><em><u>expression</u></em><em><u> </u></em><em><u>represents</u></em><em><u> </u></em><em><u>adis</u></em><em><u> height</u></em><em><u> </u></em><em><u>in </u></em><em><u>inches </u></em><em><u>.</u></em>

8 0
3 years ago
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