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inysia [295]
2 years ago
8

6g+5 =-2(1+2g) ------------------

Mathematics
2 answers:
kozerog [31]2 years ago
7 0

Answer:

g= -7/2

Step-by-step explanation:

First expand the brackets

6g+5=-2+4g

minus the least number of g's to eliminate it on one side

-4g on both sides leaves us with

2g+5=-2

make g the subject

-5

2g= -2-5

2g= -7

÷2

g= -7/2

or

g= -7/2

Molodets [167]2 years ago
4 0

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

6g+5=-2\left(1+2g\right)

<u>Apply the distributive law:-</u>

-2\left(1+2g\right)

=-2-4g

6g+5=-2-4g

<u>Now, we´ll Subtract 5 from both sides :-</u>

6g+5-5=-2-4g-5

6g=-4g-7

<u>Add 4g to both sides :-</u>

6g+4g=-4g-7+4g

10g=-7

<u>Now, divide both sides by 10:-</u>

\frac{10g}{10}=\frac{-7}{10}

g=-\frac{7}{10}

<u>OAmalOHopeO</u>

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The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0
2 years ago
Which expression is equal to a + (b + c)?
stellarik [79]
A is the correct answer
7 0
2 years ago
Read 2 more answers
The inside ring of packing tape has a diameter of 80 mm. The tape surrounding the ring is 8 mm beyond the ring. What is the dist
Nutka1998 [239]

Answer:

301.44 mm

Step-by-step explanation:

Diameter of the inside ring of a packing tape = 80 mm

The tape surrounding the ring is 8 mm beyond the ring which means the diameter of the ring including the surrounding will be:

80 + 8 + 8 = 96 mm

and its radius will be = 96/2 = 48.

To find the distance around the outer edge of the tape, we need to calculate the circumference for the ring with the tape on it.

<em>Circumference = 2\pi r </em>

Circumference = 2 x 3.14 x 48 = 301.44 mm

Therefore,  the distance around the outer edge of the tape is 301.44 mm.

6 0
3 years ago
a washer and a dryer cost $970 combined . the washer costs $70 more than the dryer . what is the cost of the dryer ?
Reika [66]

Answer:

415

Step-by-step explanation:

970 divided by 2 = 485, 485 + 70 = 555

970 - 555 = 415, so your answer is 415

3 0
2 years ago
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The vertices of xyz are x (1,-4)
dexar [7]

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

#5

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

#6

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

6 0
3 years ago
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