Answer:
p+q = 10...... 1
0.05p+0.10q = 0.85 ..... 2
Step-by-step explanation:
The question is incomplete. Here is the complete question.
A student has 10 coins in her pocket that have a value of $0.85. The coins are either nickels or dimes. If each nickel costs $0.05 and each dime costs $0.10. Which system of linear equations represents this scenario?
Let the number of nickel in the pocket of the student be p
Let the number of dime in the pocket of the student be q
If there are 10 coins in her pocket, then the total coins in her pocket will be represented by the equation;
p+q = 10...... 1
If each nickel costs $0.05, p nickels will cost $0.05×p = $0.05p
If each dime costs $0.10, q nickel will costs $0.10×q = $0.10q
Total amount will be $0.05p+$0.10q
Now if the total coins in her pocket has a value of $0.85, then the we will equate $0.05p+$0.10q to $0.85 to give our second linear equation as:
$0.05p+$0.10q = $0.85 ....... 2
Therefore, the system of linear equations represents this scenario are:
p+q = 10...... 1
0.05p+0.10q = 0.85 ..... 2
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.
Answer:
the line crosses the parabola at (-2,4) and (3,9)
Step-by-step explanation:
y=x^2
y=x+6
set them equal to each other
x^2=x+6, now set it equal to zero
x^2-x-6=0, now find the root
(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept
at x= -2, y=(-2)^2=4, so one point is (-2,4)
at x=3, y=(3)^2=9, so other point is (3,9)
the line crosses the parabola at (-2,4) and (3,9)
Answer:
97/4
Step-by-step explanation:
There are 2 methods you are taught in Middle School.
Elimination and Substitution.
