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creativ13 [48]
3 years ago
7

Writing expressions word problems

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0

Answer:

Money Possessed by Liam = $ 250

→Cost of Present , that Liam and his Classmate bought for their Teacher = $ 120

→Amount that Liam Paid for the present , is half of total Amount which is equal to,

    =\frac{120}{2}=60$

Money Left with Liam

   =$ 250 -$ 60

        =$ 190

olganol [36]3 years ago
4 0
The equation is:
250 - (120 ÷ x)

I hope this helps! :D

~PutarPotato
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What is the best fit equation for the trend line in the scatter plot?
nordsb [41]

Answer:

B the line goes down so its a negative gradient

and you do rise which is -1 over run which is 3

7 0
3 years ago
A student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes. Select the function that describes his distance fr
Rom4ik [11]
Alright, so we know that the race is 5 kilometers, so the equation will be 5-<some value>= <distance from finish line>. We also know that the student runs a kilometer every three minutes, so 3x=1km . Multiplying both sides by 5, we get 15y=5km (y being the number to make the equation make sense, or the slope). When the student has run 5km, the distance from the student to the finish line should be 0, so we get that 5-5=0, and plugging 15y in for 5 we get 5-15y=0. For 15x to equal 5, 3y=1 and y=1/3. Therefore, we plug that in for y, getting 5-15(1/3)=0. However, we have to make it for all times! Since 15 represents the minutes, we make that x, and since 0 represents the distance remaining, we make that the distance remaining, making it 5-(1/3)x=distance left. You can also think of y as the slope in y=mx+b - it stays constant that way.



5 0
3 years ago
The graph models the function y = −x2 − x + 6. Which attribute(s) of the graph tell you the root(s) of the function? Determine t
Alex73 [517]
In a graph the roots of the function are given by the cut points with the x axis.
 On the other hand, we have the following equation:
 y = -x2 - x + 6
 To find the roots, we equate to zero:
 -x2 - x + 6 = 0
 Rewriting we have:
 x2 + x - 6 = 0
 (x-2) (x + 3) = 0
 The roots are:
 x1 = 2
 x2 = -3
 Answer:
 
The roots are:
 
x1 = 2
 
x2 = -3
7 0
3 years ago
Read 2 more answers
Use the graph below to estimate the solution to the system of equations shown.
Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

y=-x-3 (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

y=2x-8 (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

y=-x-3\\y=2x-8

Substitute y=2x-8 in y=-x-3

2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )

So the answer is the second choice.

6 0
3 years ago
Find c.
Alexxx [7]

9514 1404 393

Answer:

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm

5 0
3 years ago
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