Six times a number decreased by ten is eight. Find the number.
Let's denote the number as $x$. We are given that $6x-10=8$. Adding 10 to both sides of the equation, we have $6x=18$. Finally, dividing both sides by 6, we find $x=\boxed{3}$.
Jocelyn and Andy were purchasing items for their quarterly project. Jocelyn picked out 6
pens,2
posters and a glue stick. Andy picked out4
pens, 1
poster and a glue stick. Andy wants to split the bill between the two. Jocelyn states that Andy would not have to pay as much as she would. The total the two spent was$23.61
. The prices were as follows.
Pen $1.19
each
Poster $3.57
each
Glue Sticks were on sale 3 for a $1
Which equation represents the situation and solves for x, the cost of each glue stick?
Let's denote the cost of each glue stick as $x$.
Jocelyn purchased 6 pens at a cost of $1.19 each, so the total cost of pens for Jocelyn is $6 \cdot 1.19 = 7.14$.
Jocelyn also purchased 2 posters at a cost of $3.57 each, so the total cost of posters for Jocelyn is $2 \cdot 3.57 = 7.14$.
Jocelyn purchased 1 glue stick, so the cost of the glue stick for Jocelyn is $1 \cdot x = x$.
Andy purchased 4 pens at a cost of $1.19 each, so the total cost of pens for Andy is $4 \cdot 1.19 = 4.76$.
Andy also purchased 1 poster at a cost of $3.57, so the total cost of posters for Andy is $1 \cdot 3.57 = 3.57$.
Andy purchased 1 glue stick, so the cost of the glue stick for Andy is $1 \cdot x = x$.
The total cost the two spent is $7.14 + 7.14 + x + 4.76 + 3.57 + x = 23.61$.
Combining like terms, we have $2x + 22.61 = 23.61$.
Subtracting $22.61$ from both sides of the equation, we have $2x = 1$.
Finally, dividing both sides by 2, we find $x = \boxed{0.50}$.
A x3+10($1.19)+3($3.57)=$23.61
x over 3 plus 10 times open paren 1 point 1 9 dollars close paren plus 3 times open paren 3 point 5 7 dollars close paren is equal to 23 point 6 1 dollars
B 10(1.19)+3(3.57)+3x=$23.61
10 times 1 point 1 9 plus 3 times 3 point 5 7 plus 3 x is equal to 23 point 6 1 dollars
C $23.61−3x=$1.00
23 point 6 1 dollars minus 3 x is equal to 1 point 0 0 dollars
D 10(1.19)+3(3.57)−(1.00÷3)=x
The correct answer is D.
Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
Responses
Since each frozen meal has the same cost, we can find the cost of each frozen meal by dividing the total amount Aniyah spent on the meals by the number of meals she bought (which is 2).
Therefore, the correct sequence of steps is:
1. Subtract the amount spent on paper towels from the total spent: $22 - $9 = $<<22-9=13>>13.
2. Divide the remaining amount by the number of frozen meals bought: $13 / 2 = $<<13/2=6.50>>6.50.
So, the cost of each frozen meal is $6.50.
The correct response is: "Subtract the amount spent on paper towels from the total spent, then divide the remaining amount by the number of frozen meals bought."
Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
Responses
A Multiply 9 by 2, then subtract the result from 22Multiply 9 by 2, then subtract the result from 22
B Subtract 9 from 22, then divide by 2Subtract 9 from 22, then divide by 2
C Divide 22 by 2, then subtract 9Divide 22 by 2, then subtract 9
D Subtract 9 from 22, then subtract 2
The correct sequence of steps to find the cost of each frozen meal is as follows:
B) Subtract 9 from 22, then divide by 2.
Explanation:
Aniyah spends $9 on paper towels. To find the total amount spent on the frozen meals, we subtract the amount spent on paper towels ($9) from the total spent ($22): $22 - $9 = $13.
Next, we divide the remaining amount ($13) by the number of frozen meals bought (2): $13 / 2 = $6.50.
Therefore, the cost of each frozen meal is $6.50.
The correct response is: "Subtract 9 from 22, then divide by 2."