Answer:
A) 2(9x - 2)
Step-by-step explanation:
The greatest common factor of 18x and -4 is 2.
B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.
C is wrong because 18x cannot be divided by 4 to produce a whole number.
D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.
Answer:
From our calculations the large jar is the best value for money because a penny buys more honey
Step-by-step explanation:
<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />
We will determine which has the best value for money using the quantity a pound can purchase.
firstly for the large jar.
if £4.10 will purchase 540g of honey then,
£1.00 will purchase xg
cross multiplying to find x will have


Hence for the large jar a penny would buy 131.7g of honey
secondly for the small jar
if £2.81 will purchase 360g of honey then,
£1.00 will purchase xg
cross multiplying to find x will have

Hence for the small jar a penny would buy 128.1g of honey
Answer:
12.5%
Step-by-step explanation:
The price increased from 800 to 900. So what is the PERCENTAGE INCREASE??
The increase is 900 - 800 = 100
To find this in terms of original, we need to divide 100 by 800 and multiply by 100 to get the "percentage". Let's do it:

So the increase is 12.5% and thus the general sales tax is 12.5%
Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.
Answer:
Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)
Step-by-step explanation:
The relationship between two lines AB and A’B’ is A'B'=3AB.
It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.
The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.
Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.
By cross multiplication we get
The length of segment A'B' is 3 times of AB.
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