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VikaD [51]
3 years ago
7

How to do this question plz answer me ​

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

d =  \frac{4 - 3c}{c + 1}

Step-by-step explanation:

To make d the subject of formula, we need to rearrange the equation such that we arrive at d= _____.

c =  \frac{4 - d}{d + 3}

<em>Remove the fraction by multiplying (d +3) on both sides:</em>

c(d + 3) = 4 - d

<em>Expand</em><em>:</em>

<em>cd + 3c = 4 - d</em>

<em>Bring</em><em> </em><em>all</em><em> </em><em>the</em><em> </em><em>d</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>and</em><em> </em><em>move</em><em> </em><em>the</em><em> </em><em>others</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em> </em><em>side</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>equation</em><em>:</em>

cd + d = 4 - 3c

<em>Factorise</em><em> </em><em>d</em><em> </em><em>out</em><em>:</em>

<em>d(c + 1) = 4 - 3c</em>

<em>Divide</em><em> </em><em>by</em><em> </em><em>(</em><em>c</em><em> </em><em>+</em><em>1</em><em>)</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

<em>d =  \frac{4 - 3c}{c + 1}</em>

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Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

20% of 30 grams = 6grams of sugar

6 grams + 10 grams = 16 grams of 40% instead of 30 now

Therefore, 40g----------100%

                  16g-----------40%

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2 years ago
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What is the length of AC?
Otrada [13]

Answer:

Length of AC = <u>12units</u>.

Step-by-step explanation:

\sf\large{\star Given:-}

  • Hypotenuse of the triangle = \sf\pink{10\:units.}
  • Height of the triangle = \sf\pink{8 \: units.}

\sf\large{\star To\: Find:-}

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\sf\large{\star Solution:-}

\rightarrowAs we know that,

Pythagoras Theorem:

\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}

So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,

\rightarrow\sf{10^2\:=\: 8^2 + Base^2}

\rightarrow\sf{100\:=\: 64 + Base^2}

\rightarrow\sf{100-64\:=\:  Base^2}

\rightarrow\sf{36\:=\:  Base^2}

\rightarrow\sf{\sqrt{36}\:=\:  Base}

\rightarrow\sf{6\:=\:  Base}

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Therefore, length of AC of the given triangle = \sf\purple{12units.}

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2 years ago
The function c = 100 + 0.30m represents the cost c (in dollars) of renting a car after driving m miles. What would the cost be t
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Answer:

c = $130

Step-by-step explanation:

Given:

c = 100 + 0.30m

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c = 100 + 0.30m

= 100 + 0.30(100)

= 100 + 30

= 130

c = $130

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3 years ago
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Answer:

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To get the better deal, you should find the selling prices for a single tacos in both cases  and compare the amounts.

In the first one, 10 tacos for $8.49

This means 1 tacos sells for $8.49/10 = $0.849

In the second one, 6 for $5.40, this means for a single tacos, the selling price is $5.40/6 =$0.9

The better deal is the first one that sells one taco for $0.849 compared to the second one that sells one tacos for $0.9

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