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3 years ago

8

Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are t

here? 6 5 3

2 answers:

valentinak56 [21]3 years ago

7 0

Answer:

6

Step-by-step explanation:

42/7 = 6

There are 6 toppings

Anestetic [448]3 years ago

6 0

There are 6 toppings

42/7 =6

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Sally can paint a room in 7 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the

mash [69]

Sally paints at a rate of 1/7th room / hour

Steve paints at a rate of 1/6th room / hour

If they both painted together, they would paint 1/7 + 1/6 = 13/42 room/hour

so to paint the whole room, it would take 1/(13/42) = 42/13 =
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3.23 hours (3 significant figures)</u>

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3 years ago

How much weight does the women in the video lose in a year? 80 pounds 90 pounds 50 pounds 20 pounds

Alex Ar [27]

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

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An equation is an expression that shows the relationship between two or more numbers and variables.

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2 years ago

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).

gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative $\frac{dy}{dx}$ at that point. By the chain rule,

$\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}$

Differentiate the given parametric equations with respect to $t$ :

$x = 4t \implies \dfrac{dx}{dt} = 4$

$y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}$

Then

$\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}$

We have $x=8$ and $y=2$ when $t=2$ , so the slope at the given point is $\frac{dy}{dx} = -\frac14$ .

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

$y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}$

Alternatively, we can eliminate the parameter and express $y$ explicitly in terms of $x$ :

$x = 4t \implies t = \dfrac x4 \implies y = \dfrac4t = \dfrac4{\frac x4} = \dfrac{16}x$

Then the slope of the tangent line is

$\dfrac{dy}{dx} = -\dfrac{16}{x^2}$

At $x = 8$ , the slope is again $-\frac{16}{64}=-\frac14$ , so the normal has slope +4, and so on.

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2 years ago

System with 3 variable. solve pleaseeee<br><br> x+4y-5z=-7<br> 3x+2y+3z=7<br> 2x+y+5z=8

7nadin3 [17]

To solve this we need to form 2 equations with only 2 variables.
x+4y-5z=-7
2x+y+5z=8
3x+5y=1

15x+10y+15z=35
6x+3y+15z=24
9x+7y=11

Now we need to use these to find x and y
9x+15y=3
9x+7y=11
8y=-8
y=-1
Therefore:
x=2
From this we can find that:
2(2)-1+5z=8
Therefore z=1
The answer is x=2, y=-1, z=1

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3 years ago

Why does Y equals 5X plus one have a bigger slope then y equals 2X +5

jolli1 [7]

Slope intercept form is y = mx + b, where m is the slope. 5 is greater than 2 so that’s why y = 5x + 1 has a greater slope than y = /x + 5

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3 years ago