Answer:
The correct sequence of operation is multiply each side by (-3), add 15 to each side.
Therefore, option (B) is the correct answer.
Step-by-step explanation:
Multiply each side by -3
Adding 15 to both sides
x = 27.
So, the correct sequence of operation is multiply each side by (-3), add 15 to each side.
Therefore, option (B) is the correct answer.
Answer:
D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.
Step-by-step explanation:
The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.
The algebraic expression of the dilation is:
Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)
And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.
Therefore, the right answer is D.
The formula tells you
.. V = constant * T/P
That is, volume is proportional to absolute temperature and inversely proportional to pressure.
When temperature increases from 273 K to 300 K, volume is increased by the factor 300/273.
When pressure increases from 2 atm to 3 atm, volume is changed by the factor 2/3.
The new volume will be
.. (10 L) * (300/273) * (2/3) = 2000/273 L ≈ 7.3 L
Hi there!
To find the percent discount, we need to divide the new price by the original price without the discount:
18 / 25 = 0.72
Now, we convert this into a percentage, so we can find the <em>percent </em>discount:
0.72 = 72%
Now, we subtract from 100%:
100% - 72% = 28%
So, the answer is 28%.
Hope this helps!
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.
</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.
A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.
12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.
Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.
Shape C is a <em>prism.</em>
Shape D is a <em>pyramid.
</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.
A cube is a 3-D shape with six sides, all made up of squares of the same size.
The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.
This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.
1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.
To find the number of layers needed to fill the box, you divide 120 by 24.
120 ÷ 24 = 5
The answer to #13 is 5 layers.
