Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
Answer:
$52091.95
Step-by-step explanation:
From the given information:
The number of cities visited = 14
Cost of each cooking demonstration = $3450
The total cost of cooking demonstration = $3450 × 14
= $48300
Book signing material = $1475
∴
The total cost of cooking demonstration and book material is:
= $48300 + $1475 = $49775 ---- (i)
Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles
However; suppose the weekly rental fee fine = $x &
the change per mile = $y
Then
y*540 + x = 1188.15 --- (ii)
y*880 + x = 1310.55 --- (iii)
From equation (ii) and (iii)
y *340 = 122.4
y = 122.4/340
y = 0.36
From (ii)
y × 540 + x = 1188.15
(0.36)540 + x = 1188.15
x = 1188.15 - (0.36)540
x = 993.75
Hence, the total cost of travelling by RV camper = $1993.75 + 3120 × (0.36)
= $2116.95
Thus, the total amount the publisher should budget = $49975.0 + $2116.95
= $52091.95
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.
Exact form:
5/7
Decimal form:
0.71428571...
Answer:
She should have substituted y = 17 - 2x in the first equation
Step-by-step explanation:
3x + 4y = 33
2x + y = 17
y = 17 - 2x
3x + 4(17 - 2x) = 33
3x + 68 - 8x = 33
5x = 35
x = 7
y = 17 - 2(7)
y = 3
x = 7, y = 3
Only one solution
