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harina [27]
2 years ago
9

If 6:2=8:x, then a. 6x = 16 b. 6x = 10 c. 2x = 48 d. 2x = 14

Mathematics
1 answer:
stellarik [79]2 years ago
7 0

Answer:

6x = 16

Step-by-step explanation:

Given:

\displaystyle \large{6:2 = 8:x}

The equation can be rewritten as:

\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}

Multiply both sides by 2x.

\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}

Simplify the equation in simplest form.

\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

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The amount of a radioactive isotope decays in half every year the amount of the isotope can be modeled by f(x)=3461/2x and f(1)=
pychu [463]

Answer:

1 represents the number of years passed.

step -by-step explanation:

The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346 (1/2)x and f(1) = 173

Here 1 represents the number of years that passed.

So 1 represents the number of years.

Hope this will helpful.

Thank you.

4 0
3 years ago
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
Verizon [17]

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
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Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

a=-\frac{2000}{7}*(-355)

a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

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3 years ago
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The given theorem If two distinct planes intersect, then they intersect in exactly one line is true as theorem is a statement that has been proved and it has been proved that if  two distinct planes intersect, then they intersect in exactly one line.

The figures are drawn to prove them.

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