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2 years ago

Solve the proportion

Mathematics

1 answer:

Vlada [557]2 years ago

6 0

Answer:

$\boxed{\sf{{x=\dfrac{8}{5}=1.6}}}$

Step-by-step explanation:

All you have to do to solve this is isolate the term of x from one side of the equation.

$\sf{\dfrac{x}{4}=\dfrac{2}{5} }$

First, you multiply by 4 from both sides.

$\sf{\dfrac{4x}{4}=\dfrac{2*4}{5} }$

Then, solve.

$\sf{2*4=8}$

$\sf{=\dfrac{8}{5} }$

Also, you can divide.

8/5=1.6

Therefore, the answer is 8/5=1.6

I hope this helps! Let me know if my answer is wrong or not.

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HELP ME it's almost due find the length of the diagonals of rectangle QRST

Westkost [7]

Answer:

11.since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

8 0

2 years ago

The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled

Alex73 [517]

Answer:

[50, 410]

Step-by-step explanation:

If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.

If the plumber works 8 hours, his hourly charge of 8×$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.

The range of the function is $50 to $410.

4 0

3 years ago

Pls pls help I’m really confused could someone explain to me pls

kenny6666 [7]

Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

3 0

3 years ago

During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population.

NikAS [45]

Answer:

197.2 million

Step-by-step explanation:

The appropriate exponential equation for the population is ...

p(t) = 172.0e^(0.019t)

Then we can compute for t=7.2:

p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2

7.2 minutes from now, the population will be about 197.2 million.

___

For continuous growth (or continuous compounding), the exponential formula is ...

f(t) = (value at t=0)×e^(rt)

where r is the growth rate in one unit of time, and t is the number of time periods.

8 0

3 years ago

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t

Andreyy89

Answer:

Width of the rectangular Park = 11 feet

Step-by-step explanation:

Given that the total length of the fencing is 62 feet. As has to be fenced around a rectangular park , it would be the perimeter of the rectangular park.

Also Shana wants the length of the run to be 20 feet. Hence the length of the park is 20 feet.

Here we will use the formula for perimeter to find the width of the run

Perimeter = 2(l+w)

62=2(l+w)

l+w = $\frac{62}{2}$

l+w=31

20+w=31

w=31-20

w=11

Hence the width of the run for her dog in park would be 11 feet.

3 0

3 years ago

Read 2 more answers

Solve the proportion​

Solve the proportion