Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
Answer:
A:4.5
Step-by-step explanation:
all you need to do is count the spaces
Answer:
x = 12 and 2
Step-by-step explanation:
x^2 - 14x + 48 = 0
(x - 12)(x - 2) = 0
x = 12 x = 2
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7
