Answer:
*See below*
Step-by-step explanation:
<u>Identify and Explain Error</u>
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
<u>Correct Work/Solution</u>
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
<u>Share Strategy</u>
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
<span>Slope-intercept form is Y = MX + B. This is in standard form, AX + BY = C. You have to move the X to the other side of the equation and simplify it. </span>
<span>10x - 2y = 10 </span>
<span>- 10x - 10x Subtract 10x from both sides </span>
<span>- 2y = - 10x + 10 Now everything is in the right place, but it still needs to be simplified. </span>
<span>Divide each term by -2, in order to isolate the variable Y. </span>
<span>- 2y/ - 2 = - 10x/ - 2 + 10/ - 2 </span>
<span>The answer is: y = 5x - 5</span>
<span>commutative property of addition
answer is
</span><span>A. 12 + 6 + 15 = 12 + 15 + 6</span>
A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
brainly.com/question/13176891
To find x, you figure out which ratio would be easiest to use.The cosine of the angle (22*) would be x/ll, since cosine is adjacent leg/hypotenuse. Type into a graphing calculator: 11cos(22)
The answer is 10.2. Make sure your calculator is in degree mode!
