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MissTica
4 years ago
11

Assume that y varies directly with x, then solve.

Mathematics
1 answer:
Volgvan4 years ago
8 0

Answer:

12

Step-by-step explanation:

y = kx

2⅔ = k(¼)

8/3 = k/4

k = 4×8/3 = 32/3

y = (32/3)x

y = (32/3)(1⅛)

y = (32/3)(9/8)

y = 3×4 = 12

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How do you find the least common multiple of two numbers?
ozzi

Answer:

Step-by-step explanation:

Let's say we wanted to find the LCM of 6 and 8.

First, write the prime factorization of both:

6 = 2×3

8 = 2³

Let's include all the exponents:

6 = 2¹×3¹

8 = 2³×3⁰

The LCM needs to have the prime factors with the highest exponents.  

So we need prime factors of 2 and 3.  The exponent of the 2 will be three, and the exponent of the 3 will be one.

LCM = 2³×3¹

LCM = 24

3 0
4 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
alukav5142 [94]

Answer:

use a2+b2=c2 so

Step-by-step explanation:

11(squared)+b(squared)=13(squared)

=121+b2=169

-121. -121

b2= 48

square root 48

Side B= 6.928

and then just round 6.928

hope this helped

3 0
3 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
RideAnS [48]

Step-by-step explanation:

The function is as follows :

f(x) = x^2 + 5x + 5

We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here,

b = 5

a = 1

c = 5

So,

x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}

Hence, the correct option is (c).

6 0
4 years ago
Solve for x using figure to the right. Pls answer this it is urgent
goldenfox [79]

Answer:

Therefore the value of x = 10 units

Step-by-step explanation:

Let label the Triangles first,

Δ ABC a right triangle at ∠ A =90°

Δ ADB andΔ ADC a right triangle at ∠ D =90°

Such that

AD = x

BD = 50

CD = 2

∴ BC = BD + DC = 50 + 2 = 52

To Find:

x = ?

Solution:

In right triangle  By Pythagoras Theorem,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

In right triangle Δ ADB andΔ ADC  By Pythagoras Theorem we will have,

AB² =  BD² + AD²

AB² = 50² + x²            ..................equation ( 1 )

and

AC² = DC² + AD²

AC² = 2² + x²             ...................equation ( 2 )

Now in right triangle Δ ABC,

BC² = AB² + AC²

Equating equation  (1 ) and ( 2 ) and the given value we get

52² = 50² + x² + 2² + x²

∴ 2x² = 2704 - 2504

∴ 2x² =200

∴ x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit

Therefore the value of x = 10 units

8 0
4 years ago
Jason ate 1/4th of a pizza during a birthday party. The pizza was a large that had a diameter of 12 inches. How much pizza did J
ser-zykov [4K]
3 slices because 1/4 of 12 is 3 because 4×3=12
8 0
3 years ago
Read 2 more answers
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