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3 years ago

What is the solution of the proportion 35=13x ? Round to the nearest tenth if necessary.

Mathematics

1 answer:

svetlana [45]3 years ago

6 0

Answer: x = 35/13

Step-by-step explanation:

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Anyone can help me with this

uysha [10]

Answer:

y = - 6x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, hence

y = - 6x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

7 = 6 + c ⇒ c = 7 - 6 = 1

y = - 6x + 1 ← equation of line

5 0

3 years ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

2 years ago

A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive

vova2212 [387]

Alice receives 9 out of the 24 pens.

7 0

3 years ago

Thomas goes to summer camp every year if his parents drive 155 miles to Camp to drop him off and then go back to pick him up in

prisoha [69]

I would say 465 since they go back and forth twice which is 155 x 3

8 0

2 years ago

MATH QUESTION, PLEASE HELP !!!<br> (will mark branliest )

Aleksandr [31]

Answer:

I am not certain if its right

Step-by-step explanation:

8 0

3 years ago