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serious [3.7K]
3 years ago
7

Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and swims at a rate of 3 feet per

second. John swims at a rate of 4 feet per second in the same direction as Ricardo. which equation could you solve to find how long it would take John to catch up with Ricardo?
A. 4t+3=3t
B. 4t+60=3t
C. 3t+3=4t
D. 3t+45=4t
Mathematics
1 answer:
laila [671]3 years ago
3 0
Speed=distance / time; ⇒distance=speed *  time
Distance traveled by Ricardo
Distance (Ricardo)= (3 ft / s) * 15s+3 ft/s * time=45 ft+3 ft/s*t=45+3t

Distance traveled by John:
Distance(John)=(4 ft/s) * time=4t

Distance traveled by Ricardo=Distance traveled by John
3t+45=4t

Answer: D.  3t+45=4t
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What is the solution to the system of equations? X+3y=18 x+2y=14
MrRa [10]

Answer:

Solution to system is

x = 6 and y= 4

S.set={6,4}

Step-by-step explanation:

The given equations are

x + 3y = 18                      ................(i)

x + 2y=14                        .................(ii)

Subtracting both equation

(x+3y)-(x+2y)=18-14

x+3y-x-2y = 4

y = 4

put the value of y in equation (i)

the equation becomes

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x + 12 = 18

subtracting 12 from both sides

x + 12 -12 = 18-12

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Solution to system is

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3 0
4 years ago
Solve and graph the inequality on a number line: −19 > g − 24
Phantasy [73]

Answer:

5 >g

Open circle at 5 line going to the left

Step-by-step explanation:

−19 > g − 24

Add 24 to each side

−19+24 > g − 24+24

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5 0
3 years ago
B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20
ahrayia [7]
<h3>Answer:</h3>

AB = \frac{67}{4}\\

<h3>Step-by-step explanation:</h3>

If B is the midpoint of \overline{AC} then AB is just half of AC and also, BC is just half of AC. This means that AB must be equal to BC. Essentially, 9x +7 = -3x +20 and we can solve for the of x from that equation.

9x +7 = -3x +20 \\ 9x +7 +3x = -3x +20 +3x \\ 12x +7 = 20 \\ 12x +7 -7 = 20 -7 \\ 12x = 13 \\ \frac{12x}{12} = \frac{13}{12} \\ x = \frac{13}{12}

Now we can solve for AB

AB = 9(\frac{13}{12}) +7 \\ AB = 3(\frac{13}{4}) +7 \\ AB = \frac{39}{4} +7 \\ AB = \frac{39}{4} +\frac{28}{4} \\ AB = \frac{67}{4}

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