Since there are 26 students in Mr. Carson's class, and each kid gets 3 pencils, that means we will multiply 26 and 3, in which we get 78. Now, since boxes of pencils only contain a dozen, which is 12 pencils, we will divide 78 by twelve, in which we get 6.5 boxes. You can't buy half a box, so he will need 7 boxes, since having 6 boxes means that you don't have enough pencils.
Hope this helps!
The true statements are:
- Tyson's expression is not equivalent to the original expression
- The equivalent expression is:
<h3>What are equivalent expressions?</h3>
Equivalent expressions are expressions that have equal values
The original expression is given as:
Collect like terms
Evaluate the like terms
Tyler's equivalent expression is given as:
Collect like terms
Evaluate the like terms
The simplified expressions of the original expression, and Tyson's equivalent expressions are not equal.
Hence, Tyson's expression is not equivalent to the original expression
Read more about equivalent expressions at:
brainly.com/question/9603710
The slope is the number next to the variable and the y intercept is the number after the slope.
#1. Slope= -3
Y-intercept=-3
#2. Slope=5/2
Y-intercept=-4
#3. Slope=1/3
Y-intercept=3
#4. Slope=-2
Y-intercept=2
#5. Slope=-2/5
Y-intercept=-2
#6. Slope=-2/3
Y-intercept=-2
Group the common terms together
3x + 5x - 5 + 1
then add or subtract them
8x - 4
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.
0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
