Answer:
There are 2 cups in a pint is correct
Answer:
B. (3, -2)
Step-by-step explanation:
The solution of the system of the equations given, can be determined using the graph. The coordinate of the point where the two lines of both equations intersect is the solution.
Both lines intersect at x = 3, when y = -2.
Therefore, the solution would be (3, -2).
Answer:
x=7
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
2(x+13)=(x−2)⋅8
Solve the equation for x.
Simplify 2(x+13).
Start simplifying.
0+0+2(x+13)=(x−2)⋅8
Simplify by adding zeros.
2(x+13)=(x−2)⋅8
Apply the distributive property.
2x+2⋅13=(x−2)⋅8
Multiply 2 by 13
2x+26=(x−2)⋅8
Simplify (x−2)⋅8
Apply the distributive property.
2x+26=x⋅8−2⋅8
Simplify the expression.
Move 8 to the left of x
2x+26=8⋅x−2⋅8
Multiply −2 by 8
2x+26=8x−16
Move all terms containing x to the left side of the equation.
Subtract 8x from both sides of the equation
2x+26−8x=−16
Subtract 8x from 2x
−6x+26=−16
Move all terms not containing x to the right side of the equation.
Subtract 26 from both sides of the equation
−6x=−16−26
Subtract 26 from −16
−6x=−42
Divide each term in −6x=−42 by −6 and simplify
Divide each term in −6x=−42 by −6
Simplify the left side
Cancel the common factor of −6.
Divide x by 1.
Simplify the right side.
Divide −42 by −6.
x=7
Simple...there'a a LOT of combinations...
so to simply solve this;there is 5 appetizers, 7 entrees and 3 desserts....
Just take 5*7=35
and
35*3=105
Thu,s there is 105 combinations possible to make.
Thus, your answer, D.
<h3>
Answer:</h3>
m= 15
b= 45
y= 15x +45
<h3>
Concept:</h3>
<u>Overall equation</u>
The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.
<u>Slope, m</u>
The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.
where 
is the first coordinate and 
is the second coordinate
<u>y-intercept, b</u>
This is the y-value in which the line cuts through the y-axis (vertical axis).
<h3>Working:</h3>
<u>Slope, m</u>
Let's identify two pairs of coordinates on the line.
2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.
The 2 points are: (0, 45) and (5, 120)
Substitute the 2 points into the slope formula:
Slope
= 
<em>= </em>
= 15
Thus, m= 15.
<u>y-intercept, b</u>
From the graph, the line cuts through the y-axis at y= 45.
Thus, b= 45.
<u>Overall equation</u>
Substitute m= 15 & b= 45 into y= mx +b:
∴ The equation of the line is y= 15x +45.
<h3>Additional:</h3>
To learn more about slope-intercept form, do check out: brainly.com/question/26351470
