B, 2 5/8.
2 and 5/8 times itself is 5 1/4, meaning its half of 5 1/4.
Dominics son is 45inches tall
<u>Step-by-step explanation:</u>
Let his sons height be 'h'
If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.
Then We can say that,
h = 50 x (72/60)
h = 45 inches
Dominics son is 45inches tall
To evaluate this expression you just have to substitue the value that is given.
so since we know m=2 x=7 y=5
and the expression is given mx-y
plug these values in as 2(7)-5 = 14-5 = 9
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
Answer:
Step-by-step explanation:
From the attachment, we can see that
<EBF = 33°
<EBD = 33°
<FED = 114°
<FBD = 66°
Part 2
The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h
The return speed is y + 10 = 70 + 10 = 80 km/h
Total time = 350/70 + 350/(70+10)
Total time = 5 + 4.375
Total time = 9.375 hr
