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Karo-lina-s [1.5K]
3 years ago
11

-6×-15=4×+35 i need help with this problem​

Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer:

x = -5

Step-by-step explanation:

-6x - 15 = 4x + 35

      + 15        + 15

-6x = 4x + 50

-4x   - 4x

-10x = 50

-10x/-10 = 50/-10

x = -5

Burka [1]3 years ago
3 0
Isolate the variable by dividing each side by factors that don't contain the variable.

-6x-15+15=4x+35+15

-6x=4x+50
(Subtract 4 on both sides)

-10x=50
(Divide by 10 on both sides)

x=5
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laila [671]

Answer:

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8 0
3 years ago
a vase has 6 flowers in it. there are 3 roses, 1/3 are peonies, and the rest are lilies. what fraction of the flowers are lilies
Rudik [331]
Hi there!

We can start off by taking out some key information from this problem.

- 6 flowers in the vase.
- 3 are roses. (3/6)
- 2 are peonies. (2/6)
- 1 is a Lily. (1/6)

By converting all of the flowers to have a common denominator we can clearly see that 1/6 of the flowers are lilies.
4 0
3 years ago
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Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
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EleoNora [17]

Answer:

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Step-by-step explanation:

20 divided by 4 = 5

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laila [671]

Answer:

i think its 700

Step-by-step explanation:

7%of 2000 is 140 and 140 x 5 is 700

8 0
3 years ago
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