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3 years ago

How would you translate this situation below into an algebraic expression?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

Dime value: $0.10
Nickel value: $0.05

For this word problem, you are asked to create an algebraic expression (an equation) for the unknown variables.

Now, we know that a dime is worth $0.10 or 10 cents and a nickel is worth $0.05 or 5 cents. So, all you would have to do is create an equation that takes those values into account.
5n + 10d

Your algebraic expression would be B. 5n + 10d

I hope this helps!

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Please help me with this question

mihalych1998 [28]

Answer:

John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.

Step-by-step explanation:

Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:

3.5x + 2x = 46.75, where the coefficients equals the amount of hours.

Let's solve for x!

5.5x=46.75

x = 46.75/5.5 = 17/2 = 8.5

John and Pam are paid 8.5 dollars per each hour worked.

To figure out John's share of the money, we will multiply the wage by the hours he worked.

8.5 x 3.5 = 29.75

8 0

3 years ago

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

egoroff_w [7]

A. Constant of proportionality in this proportional relationship is; k=5

B. Equation to represent this proportional relationship is : c=t/k

Step-by-step explanation:

A.Given that : the amount she pays each month for international text messages is proportional to the number of international texts she sends, then

$3.20 k = 16 ---------where k is the constant of proportionality

k= 16/3.20 =5

k=5

B. Let c be the cost of sending the texts per month and t be the number of texts sent per month , so

c=t/k

c=t/5 ---------- is the proportionality relationship.

For t=16 , c= 16/5 =$3.20

Learn More

Proportionality :brainly.com/question/11490054

Keywords: cell phone plan, month, international texts, proportional,paid

#LearnwithBrainly

4 0

3 years ago

The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi

Advocard [28]

For this case we have:

Cost of manufactures of T-shirts $C(x)=10.5x$

where x represents the number of T-shirts

Part A:

Substituting $x = 8$ in the total cost equation you have to:

$C (8) = (10.5) (8)\\\\C (8) = 84\\$

Thus, the cost of 8 shirts will be $C (8) = 84\\$

Part B:

If $x = 12$ then

$C (12) = (10.5) (12)\\\\C (12) = 126\\$

Thus, the cost of 12 shirts will be $C (12) = 126\\$

Answer:

$C (8) = 84\\\\C (12) = 126\\\\$

8 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (4, -6)<br>and (8, -4)

QveST [7]

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-4+6}{4}\implies \cfrac{2}{4}\implies \cfrac{1}{2}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+6=\cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x-8$

3 0

3 years ago

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You have a mean score of 84 after taking five 100-point tests. What do you need to score on the sixth 100-point test to have a m

kap26 [50]

The mean of n numbers is the sum of the numbers divided by n.

You have a mean score of 84 after taking 5 tests. Let x be the sum of scores.
$\frac{x}{5}=84 \\
x=84 \times 5 \\
x=420$
You scored a total of 420 points on five tests.

You need to have a mean score of 85 after taking 6 tests. Let y be the score you need to obtain. Your total score on 6 tests is 420+y.
$\frac{420+y}{6}=85 \\
420+y=85 \times 6 \\
420+y=510 \\
y=510-420 \\
y=90$

You need to score 90 points on the sixth test.

8 0

3 years ago

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