MATHEMATICS HIGH SCHOOL

Three-fourths is
and
1 and one-half is
.

Answers

Answer 1
Answer:

Answer:

3/4 + 1/2 = 5/4 or 1 and 1/4

Step-by-step explanation:

Find a common denominator for the two fractions. 1/2 becomes 2/4 because you are multiplying top and bottom by 2 to get 4 since 3/4 already has 4.

Now it becomes 3/4 + 2/4. Add the numerators and keep the denominator. You get 5/4. To get a mixed number, divide 5 by 4. Four goes in once, and leaves a remainder of 1. Keep your original denominator and write 1 and 1/4.

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Triangle XYZ is translated 4 units up and 3 units left to yield triangle X'Y'Z'. What is the distance between any two corresponding points on triangle XYZ and triangle X'Y'Z'?

Answers

Answer

5 units


Explanation

The translation of the points X<Y and Z makes a right triangle with legs 3 units and 4 units.

The distance between the correspong is the hypotenuse of the triangle.

Using the Pythagoras theorem;

c² = a² + b²

Where a and b are the legs and c is the hypotenuse.

c²   = 3² + 4²

      = 9 + 16

       = 25

c    = √25

      = 5 units

If F'(x)=\sqrt{1+x^(3) } and F(1)=5, then F(3)= (A)1.230
(B)3.585
(C)6.230
(D)8.535
(E)11.230

Answers

Answer:

E

Step-by-step explanation:

Since the given expression is an elliptic integral, it's not easy to find F(x) explicitly. However, if we use a linear approximation, we can try to estimate F(3), though it won't be too close, since 3 is not very close to 1.

At the point (1,5) the slope of the tangent line is F'(1) = √(2)

So, using that line,

F(3) = F(1) + F'(1)(3-1) = 5+2√(2) = 7.828

Well, that didn't work out too well.

So, let's pull out our handy integral calculator, and we find that

\int\limits^0_1 {√(1+x^3) } \, dx = 1.111

But, we know that F(1) = 5. So we need to add C = 3.889

Now, integrating again,

\int\limits^0_3 √(1+x^3) \, dx = 7.341 + 3.889 = 11.229

Oops. I messed up the limits, but you get the idea.

Captionless Image
(1/3,0)
(0,-2)
(0, 1/3)
(-2,0)

Answers

Answer:

not getting your question

Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Answers

First multiply 50 and .25 to find out how much extra he is saving, $12.5 Then add that to 50 to get $62.5. Divide $375 by $62.5 to get 6. It will take 6 months to save the money. Hope this helps!

What should be added to 4c (– a + b + c) to obtain
3a (a + b + c) – 2b(a – b + c)?

Answers

Step-by-step explanation:

here hope it is helpful

the writing is not mine so yeah

4x-6=x+9
Solve the equation show all steps

Answers

Answer:

x= 5

Step-by-step explanation:

4x-6=x+9

Move the -6 to the other side of the equation by adding 6 to each side.

4x-6 + 6 =x+9 + 6

4x = x+15

Now move the x on the right side of the equation to the left side of the equation by subtracting x from each side.

4x - x = x + 15 - x

3x = 15

Now to isolate the x, divide both sides of the equation by 3.

3x/3 = 15/3

x = 5

Check your answer by substituting x = 5 into the original equation:

4x-6=x+9

4(5) - 6 = 5 + 9

20 - 6 = 14

14 = 14 >>> so this answer, x=5, is correct.
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