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3 years ago

Solve the proportion N/5=7/10

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

The answer is 3.5 hope it helps

cricket20 [7]3 years ago

6 0

N 7
--- = ----
5 10

10n = 35
n = 35/10
n = 3.5

hope this helps :)

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A diagram of a swimming

NeTakaya

The correct answer is 50

7.5×2 = 15

25×2 = 50

6 0

3 years ago

Rationalise the denominator of 1/(2√5 + √3)

wlad13 [49]

Answer:

$\bf ➤ \underline{Solution-} \\$

$\sf \: \: \: \dfrac{1}{ 2 \sqrt{5} + \sqrt{3} }$

On rationalising,

$\sf \implies\dfrac{1}{ 2 \sqrt{5} + \sqrt{3} } \times \dfrac{2 \sqrt{5} - \sqrt{3}}{2 \sqrt{5} - \sqrt{3}}$

Combine the fractions,

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{(2 \sqrt{5} + \sqrt{3})(2 \sqrt{5} - \sqrt{3})}$

We know that,

$\sf \implies (a + b)(a - b) = (a)^{2} - (b)^{2}$

So,

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{(2 \sqrt{5} )^{2} - (\sqrt{3})^{2} }$

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{20 - 3 }$

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{17 }$

$\sf \implies \dfrac{2 \sqrt{5} - \sqrt{3}}{17 }$

Hence,

On rationalising we got,

$\bf \implies\dfrac{2 \sqrt{5} - \sqrt{3}}{17 }$

3 0

2 years ago

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

Amiraneli [1.4K]

Answer:

The temperature of the part won’t reach or exceed 141℉

Step-by-step explanation:

Substituting the value of T= 141 the given equation becomes

$\begin{array}{l}{141=-0.005 x^{2}+0.45 x+125} \\ {-0.005 x^{2}+0.45 x+125-141=0} \\ {-0.005 x^{2}+0.45 x-16=0}\end{array}$

we know that discriminant D = $b^{2}-4 a c$

Three conditions: - D < 0: imaginary roots, D = 0: real and equal roots,

D > 0: two real and unequal roots Substituting a = -0.005, b = 0.045 and c = -16, $\mathrm{D}=0.045^{2}-4(-0.005)(-16) \mathrm{D}=-0.317975 \mathrm{D}=-0.32(\text { approx. })$ Therefore, it won't reach the temperature.

6 0

3 years ago

Read 2 more answers

the graph of a liner function passes through the two gives ponits on the coordintes plne (3,15) (6,21) what is the rate of chang

slega [8]

Answer:

The rate of change of the function is 2.

Step-by-step explanation:

As we know that if the graph of a liner function passes through the two gives points on the coordinate plane, then the rate of change of the function will be the slope of the given line.

The points are:

(3, 15)

(6, 21)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:15\right),\:\left(x_2,\:y_2\right)=\left(6,\:21\right)$

$m=\frac{21-15}{6-3}$

$m=2$

Therefore, the rate of change of the function is 2.

8 0

3 years ago

If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is

soldi70 [24.7K]

<span>1) First, you need to calculate the total labor cost: 2 workers * $8/(hour) * 40 hour / worker = $640. 2) Second, now you can calculate how much percent is 640 of the revenue, 2000: [640 / 2000] * 100 = 32%. 3) And the answer is that the labor cost is 32% of the revenue.</span>

3 0

3 years ago