H(10) = 2(10) - 8
h(10) = 12
g(12) = root 12 - 4
g(12) = root 8
g(h(10)) = 2 root 2
Answer: 8a
23
b−5cd
3
−1792
2560
Step-by-step explanation:
Answer:
Keisha =$25
Scott =$19
Ryan = $57
Step-by-step explanation:
Let the amount each have be represented by A, B and C
Keisha = A
Scott = B
Ryan = C
Keisha , Scott and Ryan have a total of $101.
That’s
A + B + C = $101
Keisha has $6 more than Scott
A = 6 + B
Ryan has 3 times Scott
C = 3B
Substitute 6+B for A and 3B for C in the first equation.
That’s
A + B + C = 101
6 + B + B + 3B = 101
6 + 5B = 101
Subtract 6 from both sides
6 - 6 + 5B = 101 - 6
5B = 95
Divide both sides by 5
B = 95/5
B = 19
Scott has $19
Recall Keisha has $6 more than Scott B.
That’s A = 6 + B
A = $6 + $19
A = $25
Keisha has $25
Also, Ryan C has 3 times what Scott B has .
That’s
C = 3 x B
C = 3 x 19
C = $57
Therefore, Keisha has $25, Scott has $19 and Ryan has $57
Answer:
Step-by-step explanation:
The rule to know and follow is:
You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;
5a + b = 14
If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;
Firstly, we subtract b from both sides:
5a + b - b = 14 - b
5a = 14 - b
Then, divide both sides by 5:
Answer:
148º
Step-by-step explanation:
Use the information given:
- The measure of a straight line is 180º. So angle PST=180-(2R+8)
- Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
- The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
- Combine like terms, 212-R=180
- Subtract, -R=-32
- Convert to positive, R=32º
With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:
- 32º+72º+108º+STR=360º
- Combine like terms, 212º+STR=360º
- Subtract, STR=148º
