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vazorg [7]
3 years ago
10

Read each word problem and write an expression that would allow you to solve the problem.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

The answers for your 10-question problem are

Problem 1  

4 miles

Problem 2

y = 4*x + 2

Where y is the amount spent in dollars, and x is the price per one bag of vegetables.

Problem 3

She needs to sell 10 glasses

Problem 4

y = 2*x

Problem 5

y = 2*x

Problem 6

y = (1.5)*x

Problem 7

y = (7)*x

Problem 8

y = (12)*x

Problem 9

y = 30*x

Problem 10

the statement is TRUE, m can have any value

Step-by-step explanation:

Problem 1

Jenna walks 1 mile in 12 minutes

This means that she covers 1/12 th of a mile in one minute

The equation that represents this problem is

y = (1/12)*x

Where y is the number of miles covered, and x is the walking time in minutes.

If she walks 48 minutes, she will travel  y = (1/12)*48 = 4 miles

Problem 2

Loaf of bread ----> $2

4 bags of vegetables -- > Price unknown

TOTAL AMOUNT SPENT

y = 4*x + 2

Where y is the amount spent in dollars, and x is the price per one bag of vegetables.

Problem 3

$1 per glass of lemonade

$9 dollars per supply

y = 1*x - 9

Where y is the amount obtained in dollars, and x is the number of glasses of lemonade sold.

if y >0, she will make profit,  (y>9) This means she needs to sell 10 glasses

Problem 4

Assuming that John's dad doubles the amount John makes each week.

The expression is

y = 2*x

Where y is the amount obtained in dollars, and x is the amount saved by John himself each week.

Problem 5

The donor is giving Christina 2 dollars per mile

The expression that represents this condition is

y = 2*x

Where y is the amount obtained in dollars, and x is the number of miles traveled.

Problem 6

For each pound collected, Kenna will receive $1.50

The expression that represents this condition is

y = (1.5)*x

Where y is the amount obtained in dollars, and x is the number of pounds of magazines collected.

Problem 7

Graham made 7 pennants in an hour. Based on this relation, He will make 14 in two hours and 21 in three hours.

The expression that represents this condition is

y = (7)*x

Where y is the amount of pennants made, and x is the number of hours worked on a day.

Problem 8

Maddy earns $12 per hour. Based on this relation, she will make $24 in two hours and $36 in three hours.

The expression that represents this condition is

y = (12)*x

Where y is the amount obtained in dollars, and x is the number of hours worked in a night.

Problem 9

Steven practices his trumpet for 30 min each day. The amount of time practiced is given by the following relation

y = 30*x

Where y is the amount of time practiced in minutes, and x is the number of days of the month that he practiced in.

Problem 10

Determine whether the statement is true or false

In m + 8, the variable m can have any value.

Since there are no restrictions imposed on the value of m, and the expression is not part of a certain equation or condition, the statement is TRUE. m can have any value

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sdas [7]

Answer:

3.51

Step-by-step explanation:

i took 9.2 ÷ 4.14 to find how much they charged per oz. then i took 7.8 and multipled it by 45 cents per oz.

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3 years ago
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E If M P = Rs 420,SP. 405 then<br>find discount​
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discount=MP-SP

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6 0
3 years ago
Is the solution of this equation extraneous?
UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

\sqrt{x+7} - 1 = x  ( add 1 to both sides )

\sqrt{x+7} = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : \sqrt{-3+7} - 1 = \sqrt{4} - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : \sqrt{2+7} - 1  = \sqrt{9} - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

6 0
3 years ago
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What are the solutions to 6(x - 5) = 12 and 6y - 5 = 12?
zepelin [54]

Answer:x=7

y=2 5/6

Step-by-step explanation:

6(x-5)=12

6x-30=12

6x=12+30

6x=42

6x/6=42/6

x=7

6y-5=12

6y=12+5

6y=17

6y/6=17/6

y=2 5/6

7 0
3 years ago
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al
Alla [95]

Let's rewrite each equation in the Slope-Intercept Form of the Equation of a Line. First, let's start with the main equation:


\bullet \ 5x-2y=-6 \therefore y=\frac{5}{2}x+3


Then, our options are the following:

A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \therefore y=-\frac{2}{5}x-2 \\ \\ C) \ 2x-5y=-10 \therefore y=\frac{2}{5}x+2 \\ \\ D) \ y+4=-\frac{2}{5}(x-5) \therefore y=-\frac{2}{5}x-2 \\ \\ E) \ y-4=\frac{5}{2}(x + 5) \therefore y=\frac{5}{2}x+\frac{33}{2}


For two perpendicular lines it is true that the product of its slopes is:

m_{1}m_{2}=-1


m_{1}m_{2}=-1 \\ \\ m_{1} \ is \ the \ slope \ of \ y=\frac{5}{2}x+3, \ that \ is, \ m_{1}=\frac{5}{2} \\ \\ Then, \ the \ slope \ of \ a \ perpendicular \ line \ is: \\ \\ m_{2}=-\frac{2}{5}


According to this, only A) B) and D) might be the perpendicular lines we are looking for. Notice that these lines are the same. The other condition is that the line must pass through the point (5, -4). By substituting this point in the equation, we have:

y = -\frac{2}{5}x-2 \\ \\ -4=-\frac{2}{5}(5)-2 \\ \\ -4=-2-2 \\ \\ \boxed{-4=-4} \ True!


Finally, the right answer are:

A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \\ \\ D) \ y+4=-\frac{2}{5}(x-5)

8 0
3 years ago
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