Answer:

Step-by-step explanation:
ST = w + 6,
PR = w
From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:
PR = ½ of ST
Plug in the values into the equation and solve for w.

(distributive property of equality)
(subtraction property of equality)
(multiplication property of equality)

(subtraction property of equality)

Divide both sides by -1


Answer:
x=4
Step-by-step explanation:
8x+5=10x-3
+3. +3
8x+8=10x
-8. -8
8=2x
/2. /2
x=4
Answer:
h(2)+g(2) = -3
Step-by-step explanation:

Replace the variable (t) with (
2) in the expression.
h (2) = 3 - 5
Replace the variable (t) with (
2) in the expression.
g(2) = 2(2) -5
Replace the function designators in h(2) +g(2) with the actual functions.
h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)
Remove parentheses.
3 - 5 + 2(2)
Multiply 2 by 2
3 - 5 + 4 - 5
Subtract 5 from 3
.
-2 + 4 - 5
Add -2 and 4
2 - 5
Subtract 5 from 2
-3
Answer:


Step-by-step explanation:
Given
--- not more than
spending
Solving (a): Represent as an inequality
Not more than means <
So, the inequality is:


Solving (b): The first two possible solutions
These are the numbers closest to 150 i.e. 149 and 148
Hence, 