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3 years ago

If 2c - d = 3d - 2c, what is d in terms of c

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

Answer:

4c=4d

-remember to change the signs/symbols and do the like terms

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PLEASE ANSWER WITH AN EXPLANATION! THANK YOU

lubasha [3.4K]

Answer:

$\large\boxed{A=153\ cm^2}$

Step-by-step explanation:

Look at the picture.

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

$A=a^2$

Substitute:

$A_I=9^2=81\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2$

The formula of an area of a right triangle:

$A=\dfrac{l_1l_2}{2}$

Substitute:

$A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2$

The area of the shape:

$A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2$

8 0

3 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

1. If the spinner below is spun once, find each probability.

CaHeK987 [17]

Answer:

I don't know what kind of questions is this but first you need to show your spinner

6 0

3 years ago

9. A recent study examining the effects of sugar consumption on a middle

ExtremeBDS [4]

Answer:

(B) Because the confidence interval includes 0, we don't have convincing evidence that sugar causes faster reading times, on average.

Step-by-step explanation:

Confidence Interval for the population mean difference in reading is basically an interval of range of values where the true population mean difference in reading time can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

In using confidence interval of population mean difference in reading times for hypothesis testing, if the interval obtained contains a value of 0, it means the population mean difference in reading times can take on a value of 0 and indicate that there isn't enough evidence to conclude that there is a significant difference in the two quantities being compared. (The null hypothesis is true).

If the interval doesn't contain a 0, then it can be concluded that there is enough evidence to conclude that there is significant difference in the two quantities being compared.

Hope this Helps!!!

6 0

3 years ago

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?

slega [8]

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

8 0

3 years ago