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2 years ago

Write and solve an equation to find your final score. Use x to represent your final score.

1 answer:

8 0

Let your final bowling score be x. It is 14 pins less than your friends final score. Your friends final bowling score is 105. Then x is 14 pins less than 105.
1 way: This means that 105 is greater than x by 14. Mathematically,
105-x=14,
-x=14-105,
-x=-91,
x=91.
2 way: When you add 14 to x, you'll get 105.
x+14=105,
x=105-14,
x=91.
Answer: Your final score is 91.

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Rom4ik [11]

Answer:

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2 years ago

You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of

mr Goodwill [35]

Step 1: Assign variable for the unknown that you need to find.

$d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles \\ t \; \rightarrow \; Time \; Taken \; in \; hours$

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

$d_w+d_c=12$

Your Walking rate and your friends Cycling rate is given below:

$r_w=4mph\\r_c=11mph$

Step 3: Set up an equation using the relationship between distance, time and rate.

$Distance=Rate \times Time$

$d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t$

Substituting the above in equation 1

$4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours$

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

$d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles$

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3 years ago

Please help!!! I don’t understand!

coldgirl [10]

Answer:

Step-by-step explanation:

Each system has a different purpose. one for the cost, and one for the pounds.

x+y=12 is for the pounds

since each pound of dried fruit cost $6 and each pound of nuts cost $2, and you can only spend $40,

6x+2y=40

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2 years ago

The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se

Ksenya-84 [330]

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope $m$ of the graph from 16 to 24:

$m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s$

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope $m$ :

$m= \dfrac{45-5}{28-24}= 10mph/s$

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

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3 years ago

Read 2 more answers

What are the solutions to the equation? 3x2+6x=45

daser333 [38]

Answer:

x = 3, -5

Step-by-step explanation:

hope this helps plz give brainiest

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2 years ago