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lana66690 [7]
2 years ago
10

GIVING BRAINLIEST FOR BEST ANSWER! Write a story that could represent this math problem.

Mathematics
1 answer:
xenn [34]2 years ago
3 0

Answer:

Step-by-step explanation:

The third pig is only 2/3 of the way done with his strawberry house, the fourth pig builds a house out of sticks he’s only 2/3 of the way there, the last pig builds a house out of bricks he’s only 2/3 of the way there.

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The cost of 3 tacos and a juice is $7. The cost of 4 tacos and 2 juices is $10. If t = the cost of a taco and j = the cost of a
marin [14]

Answer:

t=2

j=1

Step-by-step explanation:

3 tacos and a juice is $7

3t+j=7

4 tacos and 2 juices is $10

4t+2j=10

We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used

3t+j=7 Equation 1

4t+2j=10 Equation 2

To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.

2(3t+j=7)

6t+2j=14 Equation 3

We now have

4t+2j=10 Equation 2

6t+2j=14 Equation 3

We subtract equation 2 from equation 3, to eliminate j

6t-4t=2t

2j-2j=0

14-10=4

We have 2t=4

Divide both sides by 2

2t/2=4/2

t=4/2

t=2

Substitute t for 2 in equation 1, to get j

3t+j=7

3(2)+j=7

6+j=7

j=7-6

j=1

One taco cost $2 while 1 juice cost $2

3 0
3 years ago
"A parabola has the equation = ^ + − . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE AN
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Answer:

1

Step-by-step explanation:

1

8 0
3 years ago
79%
REY [17]

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

8 0
3 years ago
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Kamila [148]
The blank space is 9
8 0
4 years ago
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You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
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