Answer:
Step-by-step explanation:
The sign of a product or quotient cannot be determined by the positive number (t), so we can ignore it. The sign of the expression will be negative if and only if there are an odd number of negative factors.
Here, there are 67 (an odd number) negative factors, so the expression will be negative.
Answer: blank 1: 26 blanks 2: 2
Step-by-step explanation:
If you divide 39 by 6 you get 6.5 which is how many cups is in each pizza. Now you multiply 6.5 times 4 and you get 26. Now you take 13 and divide it by 6.5 and get 2.
Answer:
e = 7
Step-by-step explanation:
Eliminate parentheses using the distributive property.
18e -48 = 5e +43
13e -48 = 43 . . . . . . . . subtract 5e from both sides
13e = 91 . . . . . . . . . . . . add 48 to both sides
e = 7 . . . . . . . . . . . . . . divide both sides by 13
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<em>Comment on equation solving</em>
If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.
After the numbers in the equation are mainly integers or decimals, the next step is to look to see where the variable of interest is located. You want to do what it necessary to put all of the variable terms on one side of the equal sign, and everything else on the other side. The procedure generally is to decide what you don't want, and subtract that from both sides of the equation.
Finally, you divide by the coefficient of the variable, so the variable stands alone on one side of the equal sign. This shows you the solution.
Answer:
2y I think ( I am not sure tho)
Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
