Answer:
The correct option is 4.
Step-by-step explanation:
If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.
In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.
In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.
Therefore the correct option is 4.
Answer:
see below
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
We can substitute the second equation into the first equation
Which one-variable linear equation can be formed using the substitution method?
1.5(4y-2) +5y = 1152
Distribute
6y -3 +5y = 1152
Combine like terms
11y-3 = 1152
Add 3 to each side
11y-3+3 = 1152+3
11y = 1155
Divide each side by 11
11y/11 = 1155/11
y = 105
How many $5 raffle tickets were sold?
105 5 dollar tickets were sold
Now we need to find the number of 1.50 tickets
Which equation can be used to determine how many $1.50 raffle tickets were sold?
x = 4y – 2
x = 4(105) -2
=420-2
= 418
How many $1.50 raffle tickets were sold?
418 $1.50 tickets were sold
Answer:
It will take Ellie 64 minutes to put as many boxes as possible.
Step-by-step explanation:
Let us work with meters.
The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:
<em>
</em>
Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume
is:

So the amount of boxes that Ellie can put in the van is equal to the volume of the van
divided by the volume
of each box:

So 192 boxes can be put into the van.
Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

So it takes Ellie 64 minutes to put as many boxes into the van as she can.
If the original price tag of the video game is $128, to get its discounted price at 15%, that means what Leiff paid for was (100-15) = 85% of the original price.
So, the price of the video game then becomes
(0.85 x 128) = $108.80.
Since Leiff has to pay an additional 5.3% of the new price, that's (100 + 5.3) = 105.3% of the new price which is
(1.053 x 108.8) = $114.57
Adding the shipping fee for the videogame,
114.57 + 4.75 = $119.32
Thus, the total price is <span>$119.32</span>