Answers:
5. 296
6. 479
7. 801
8. 920
9. $281
Step-by-step explanation:
For 5-8, you add the 2 numbers. Line up the numbers by their place value.
For 9, it says she starts with $233. She worked for 6 hours today. She makes $8 for every hour. First, you have to find how much she made today. 6 hrs times $8 for every hr is $48. In total, she has $281 because we added the amount she starts with, and the amount she earned today.
Angle Q and angle S equal 61
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
Answer:
200.96 ft²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = 3.14 × 8² = 3.14 × 64 = 200.96 ft²
Let the width = x then length = x + 11 inches
Perimeter of a rectangle = 2*width + 2*length so we have the equation:-
( letting P = perimeter , L = length and W = width)
P = 2L + 2W
86 = 2(x + 11)) + 2x
86 = 4x + 22
4x = 86-22 = 64
x = 64 / 4 = 16 inches
Therefore the length of the rectangle = 16 + x
= 16 + 11 = 27 inches Answer
