Answer:
10
Step-by-step explanation:
(5x - 16) = 34
x = 10
Answer:
2x-3 < 7 = x ≤ 5 and 5 - x ≤ 8 = x ≥ - 3
Step-by-step explanation:
Answer:
9240 feet
Step-by-step explanation:
Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.
Step 1
The total distance Petrov ran in miles is calculated as:
1 lap = 1/4 mile
7 laps = x mile
Cross Multiply
x = 7 × 1/4 mile
x = 1.75 miles
Step 2
What is the total distance Petrov ran in feet?
1 mile = 5280 feet
1.75 miles = x
Cross Multiply
x = 1.75 × 5280 feet
x = 9240 feet
Therefore, the total distance Petrov ran in feet is 9240 feet
Answer:
1/3(5.2)h cm³
Step-by-step explanation:
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Volume of the pyramid = 1/3 × area × height
Area = 5.2 cm²
Height = h cm
Volume of the pyramid = 1/3 × 5.2 cm² × h cm
= 1/3(5.2)h cm³
Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
