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Leokris [45]
2 years ago
14

Translate story problems into equations. Solve equations. Translate story problems into inequalities.

Mathematics
2 answers:
Mashutka [201]2 years ago
7 0

Step-by-step explanation:

solve inequalities

by:

Add (or subtract) a number from both sides

Multiply (or divide) both sides by a positive number

Simplify a side

pochemuha2 years ago
3 0
Translate story problems into equations. Solve equations. Translate story problems into inequalities.
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0.52 because 52/100 is better than 52/1000 and 52/10000
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3 years ago
Estimate how many 12inches rulers will be about the same length as the flag
MAVERICK [17]
You would need 13/14 12in rulers to make it the size of the flag 
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3 years ago
Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the
docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let x be the miles in the circular park path, t_{L} the time Louisa takes to finish and t_{C} the time Calvin takes to finish both in hours.

Then x, the longitude is equal to the velocity times the time used to finish. So

x=5t_{L}

x=6t_{C}

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

t_{C}=t_{L}-0.5

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

5t_{L}=6t_{C}

In this last equation replace t_{C}  with the other equation and solve:

5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3

With Louisa's time find x:

x=5t_{L}\\ x=5(3)\\ x=15

7 0
3 years ago
A meteorologist measures the angle of elevation of a weather balloon is 41 degrees. A radio signal from the balloon indicates th
I am Lyosha [343]
You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m
4 0
3 years ago
A ladder is leaning against a vertical wall. The distance from the top of the ladder to the base of the wall is 17 feet. The dis
Gennadij [26K]

Answer:

18.4 feet

Step-by-step explanation:

-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.

-let the ladder be C, the wall be a, the base to the bottom be b.

-substitude into the equation, which will leave us with:

C^2 = 17^2 + 7^2

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C^2 = 338

C = square root of 338, which is 18.4 feet!

3 0
3 years ago
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