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3 years ago

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= _____.

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

Remove the fraction by multiplying (d +3) on both sides:

$c(d + 3) = 4 - d$

Expand:

$cd + 3c = 4 - d$

Bring all the d terms to one side and move the others to the other side of the equation:

$cd + d = 4 - 3c$

Factorise d out:

$d(c + 1) = 4 - 3c$

Divide by (c +1) on both sides:

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

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If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup.

kompoz [17]

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%

7 0

2 years ago

Read 2 more answers

What is the length of AC?

Otrada [13]

Answer:

Length of AC = 12units.

Step-by-step explanation:

$\sf\large{\star Given:-}$

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

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

$\rightarrow$ Base of the triangle.

$\sf\large{\star Solution:-}$

$\rightarrow$ As 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,

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

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

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

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

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

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

Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.

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

7 0

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

aleksley [76]

Answer:

c = $130

Step-by-step explanation:

Given:

c = 100 + 0.30m

Where,

c = cost of renting a car (in dollars)

m = number of miles driven (in miles)

If m = 100 miles

c = 100 + 0.30m

= 100 + 0.30(100)

= 100 + 30

= 130

c = $130

7 0

3 years ago

Moes sells 10 tacos for $8.49 or Taco Bell sells 6 of the same kind of taco for $5.40. Which is a better deal? Clearly show the

Degger [83]

Answer:

The one that sells 10 tacos for $8.49

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

5 0

3 years ago

Read 2 more answers

An SRS of 450 450 high school seniors gained an average of ¯ x = 20 x¯=20 points in their second attempt at the SAT Mathematics

maria [59]

Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size.

$\sigma$ = standard deviation.

$\overline{x}$ = sample mean.

z*= Critical value.

Given : n= 450

$\overline{x}=20$

$\sigma=49$

Critical value for 95% confidence = z*=1.96 [From z-value table]

Then, the 95% confidence interval will be :-

$20\pm (1.96)\dfrac{49}{\sqrt{450}}$

$\approx 20\pm (1.96)(2.31)$

$\approx 20\pm 4.53$

$=(20-4.53,\ 20+4.53)=(15.47,\ 24.53)$

Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)

3 0

3 years ago

How to do this question plz answer me ​

How to do this question plz answer me