What is the answer to this problem, -3.2r + 0.57= -2.95
What you do to one side, do the same to the other side.
–3.2r + 0.57 = –2.95
–3.2r + 0.57 – 0.57 = –2.95 – 0.57
–3.2r = –3.52
–3.2r / –3.2 = –3.52 / –3.2
r = +1.1
.
what is -19 to the fifth power * -19 to the 11th power?
To multiply exponential expressions with the same base, keep the base and add the exponents.
(–19)5 • (–19)11 = (–19)(5 +11) = –1916
I misspoke. The opportunity to edit has already passed.
Of course, I meant either p or (q + r) has to be positive.
The triangle with vertices at (1,0), (0,1), and (k,k) has area 1/2. Find k.
A triangle with vertices (1,0), (0,1), and (0,0) has area 1/2.
So does a triangle with vertices (1,0), (0,1), and (1,1)
That would make k equal either 0 or 1.
Distinct prime numbers p, q, and r satisfy the equation p(q + r) = 16.
Which of the following prime numbers must either q or r be equal to? 2 3 5 7 11
For p(q + r) to produce a positive product – that is, 16 – both p and (q + r) have to be positive.
The only way p can be positive is if it is 2. The only way the product can be 16 is if (q + r) = 8.
So p(q + r) is either 2(3 + 5) or 2(5 + 3). Either q or r is either 3 or 5.
3+6*5+4/2-7 add parentheses so that the value of the expression is 38
3 + 6 • ( 5 + 4 / 2 ) – 7
3 + (6 • 7) – 7
3 + 42 – 7
42 – 4
38
Elita bought a jacket that was on sale for 45% off the original price.
If she paid $110 for the jacket when she checked out, what was the original price of the jacket?
OP – 0.45 OP = 110
0.55 OP = 110
OP = 110 / 0.55
OP = 200
Nora and Renata had an equal number of polished stones at first.
After Nora received 65 more stones and Renata lost 23 stones,
Nora had three times as many stones as Renata.
How many stones did they have altogether at first?
N = R
N + 65 = 3 (R – 23) —> N + 65 = 3 (N – 23)
N + 65 = 3N – 69
134 = 2N
N = 67
N = R so R = 67
altogether 134
check answer
N + 65 = 3 (R – 23)
Does 67 + 65 = 3 (67 – 23) ?
132 = 201 – 69
132 = 132 True
If (2x + 5)(x + 3) = 14, find the sum of the possible values of x.
(2x + 5) = 0 —> 2x = –5 —> x = –2.5
( x + 3) = 0 —> x = –3.0
total of the two x's –5.5
