MATHEMATICS HIGH SCHOOL

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

Answer 1

Answer:

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

Observe the variableterms from the given statement
Add/subtract required terms according to the word's 'total or difference' given in the statements
Multiply/divide required terms according to the words 'more or less given the statements
Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12 ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correctset of equations for the given system.

Learn more about writing equations from words here:

brainly.com/question/11567221

#SPJ2

Answer 2

Answer: I would go with the second answer

Related Questions

Twice the sum of 4 and x is less than -16
What is the simplified form of the quantity of x plus 4, all over 5 + the quantity of x plus 5, all over 5
Hello help 4 brainliest answer!
If 8+4= 12 then 12 =?
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Which of the following inequalities is graphed on the coordinate plane

Answers

Answer:

Equation of the inequality will be y ≥ -2x + 6

Step-by-step explanation:

In the figure attached graph of an inequality has been given.

So to find the equation of the inequality we will find the equation of a line first.

The line is passing through two points (0, 6) and (3, 0)

The line given will be in the form of y = mx + c

Here y intercept c = 6

and m = $(y-y')/(x-x')=(6-0)/(0-3)$

m = (-2)

The equation of the line will be y = (-2)x + 6

y = -2x + 6

As we can see shaded part is above the line and line is in solid form (not dotted) so the equation of the inequality will be y ≥ -2x + 6

Therefore, the given inequality in the graph will be y ≥ -2x + 6.

Even though you didn't bother to share the list of acceptable choices ...
that short group of inequalities that the question calls "the following" ...
we can give you the answer anyway.

The graph depicts the inequality

y > -2 x + 6 .

What is the value of the underlined digit? 56.(1)23

Answers

The value of the underlined digit would be the tens place

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

Can someone please answer this

Answers

$100\ ft\approx0.3\ m\n 0.3=-16t^2+100\n 16t^2=99.7\n t^2\approx6.23\n t\approx-2.5 \vee t\approx2.5 \Rightarrow B$

One of the two positive integers is 5 less than the other. If the product of the two integers is 24, find the integers.

Answers

Hello from MrBillDoesMath!

Answer:

3,8

Discussion:

Let "n" and "p" be the two positive integers. Then

n = p - 5 (*)

and

np = 24 (**)

Substituting (*) in (**) gives

np = 24 => as p = n+5

n(n+5) = 24 =>

n^2 + 5n - 24 = 0 => factor polynomial (n+8)(n-3)

So n = 3 or -8 but as n is positive, n = 3 Then p = n + 5 = 8

Check:

Is n (3) 5 less than p (8). Yes

Does np = 3 *8 24. Yes

Thank you,

MrB

Sara drives 96 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.5 gallons of gas?

Answers

1st to get the mpg we need to divide 96/3.2 = 30 mpg

now that we know it's 30 mpg we multiply by the gallons of gas

30 * 12.5 = 375 miles

Final answer:

Sara gets 30 miles per gallon of gas. Hence, with 12.5 gallons of gas, she can drive 375 miles.

Explanation:

To calculate how many miles Sara can drive per gallon of gas, we need to divide the total distance driven by the amount of gas used. In this case, it's 96 miles divided by 3.2 gallons. Using simple division, we find that Sara gets 30 miles per gallon of gas.

Now, to find out how far Sara can drive using 12.5 gallons, you just need to multiply the miles per gallon by the number of gallons available. In this case, it's 30 miles per gallon times 12.5 gallons. Hence, Sara can drive 375 miles on 12.5 gallons of gas.

Learn more about Miles per Gallon here:

brainly.com/question/35584121

#SPJ2

Other Questions

Write the equation for a parabola with the focus at(-1, 4) and the equation of the directrix x = 5.(x + 1)2 = 3(y-4)(y-4)2 = 12(x + 1)(y-2)2 = -3(x – 4)(y-4)2 = –12(x - 2)

Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically.(–1, –17) (1, –27) (–1, –17) and (1, –27) no solutions

Is 15.07 a rational or irrational numbers

)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?18 square feet 32.5 square feet 65 square feet 130.5 square feet