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2 years ago

Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Answer:

First step=13x+7x=18+42

Step-by-step explanation:

13x-42=18-7x

First step

It is to collect like terms of the equation

13x+7x=18+42

20x=60

x=60/20

x=3

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Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po

Hitman42 [59]

Answer:

$14\ pounds$

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is $10^3$ times the weight of a cat. Based on this we can write the following equation:

$e=10^3c$

If the weight in pounds of the elephant is:

$e=14,000$

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

$14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14$

3 0

2 years ago

Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) $x = 6.2\times 12$ Given.

2) $x = \left(6+0.2\right)\times 12$ Definition of addition.

3) $x = 6\times 12 + 0.2\times 12$ Distributive property.

4) $x = 72 + \frac{2}{10}\times 12$ Definitions of multiplication and decimal number.

5) $x = 72 +[2\cdot (10)^{-1}]\cdot 12$ Definition of division/Associative property.

6) $x = 72 + [2\cdot 12]\cdot (10)^{-1}$ Associative property.

7) $x = 72 + 24\cdot 10^{-1}$ Definition of multiplication.

8) $x = 72 + \frac{24}{10}$ Definition of divsion.

9) $x = 72 + 2.4$ Defintion of decimal number.

10) $x = 74.4$ Definition of addition/Result

Natalia's work is wrong.

5 0

2 years ago

Una fabrica produce 132 litros de yogurt diarios .Con 49 litros se llenan botellas de 0,25litros xada una y con el resto que que

nordsb [41]

Answer:

$z = 362\,botellas$

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)

La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:

$x = \frac{49\,L}{0.25\,\frac{L}{botella} }$

$x = 196\,botellas$

La cantidad remanente de yogurt es:

$V_{r} = 132\,litros - 49\,litros$

$V_{r} = 83\,litros$

Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:

$y = \frac{83\,litros}{0.5\,\frac{litros}{botella} }$

$y = 166\,botellas$

Finalmente, el total de botellas a llenar es:

$z = 196\,botellas + 166\,botellas$

$z = 362\,botellas$

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2 years ago

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long. What is its periodic interest rate?

gavmur [86]

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long its periodic interest rate would be 1.15%. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

8 0

2 years ago

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A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family

notka56 [123]

Answer:

Monthly household expenditures on groceries

Step-by-step explanation:

The response variable is the one for which measurements are desired and that depends on other variables.

In this case, family size, household income, and household neighborhood are independent variables, while the response variable is the monthly household expenditures on groceries.

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2 years ago