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3 years ago

Sign numbers, ratios & Proportion (+10) + (+6) = ?

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Putting a + in front of a number indicates that the number is positive. so we are just going to add it up.

10+6=16

10:6=5:3

Hope it helps:)

larisa [96]3 years ago

3 0

16 because 10 + 6 is 16

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The mass of the sun is 21.3525×102921.3525×1029 kg. the mass of mercy is 328.5×1021328.5×1021 kg.how many times larger is the ma

Liono4ka [1.6K]

This is basically a simple problem to understand. The only thing that needs to be done is to divide the mass of the sun by the mass of mercury. It will give the required result.

Number of times the mass of sun is greater than
the mass of mercury = 21.3525×102921.3525×1029/<span>328.5×1021328.5×1021
= </span><span>7.1783629e+15
I hope that this is the answer that you were looking for and it has come to your great help.</span>

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3 years ago

Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions

DENIUS [597]

Answer:

t < $\frac{38}{17}$

Step-by-step explanation:

Add '5t' to both sides

12t - 2 +5t < -5t +36 +5t

17t -2 < 36

Add ' 2' to both sides

17t -2 +2 < 36 + 2

17t < 38

Dividing '17' on both sides

$\frac{17t}{17}$ < $\frac{38}{17}$

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3 years ago

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Help me out, please. Thank you!!

andrezito [222]

Answer:

y=-2/3+3

Step-by-step explanation:

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3 years ago

Emma bought 5 peices of candy from a candy disencer. Each peice of candy costs $0.75. How much money did she spend on candy?

Jlenok [28]

Answer:

$3.75

Step-by-step explanation:

5*0.75 = 3.75

Just multiply the two numbers together.

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3 years ago

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Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

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3 years ago