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3 years ago

12

A birthday candle costs $0.84. How much do 6 birthday candles cost?

2 answers:

spin [16.1K]3 years ago

4 0

Answer:

$5.04

Step-by-step explanation:

Take the cost of one candle and multiply the number of candles desired

6 *.84 =5.04

Aleksandr [31]3 years ago

3 0

Answer: $5.04

Step-by-step explanation:

If one candle costs 0.84, and you need 6 then you multiply 0.84 x 6=5.04.

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The temperature of a gas decreases 0.045°C every minute for 8 min. What is the change in the temperature of the gas? Use a posit

IrinaVladis [17]

0.045 divide 8= 0.005625

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7 0

2 years ago

Read 2 more answers

Pls help me identify the angle

Komok [63]

Answer:

x=45°

Step-by-step explanation:

By linear pair property

$x+135=180$

$x=180-135$

$x=45^o$

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2 years ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

3 years ago

What is the first step in solving the equation 2/3x+1/3+2=5?

julsineya [31]

The first step is combining like terms. On the left side of the equation add all the numbers together that don't have and x (1/3 +2)

Hope this helped! Let me know if there is anything else I can do!

7 0

3 years ago

Who is correct? Thanks for the help

Aleksandr-060686 [28]

I believe Hector is correct

Explanation: for every 1 hour the income is $10, therefore working 32 hours will give you $320 as Hector stated, while working 18 hours will not give you $160 as Hannah stated, it will give you $180

4 0

2 years ago