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3 years ago

Kelly rows a boat at the rate of 7040 yards per hour. How fast did Kelly row in miles?

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

Answer:

4 mph

Step-by-step explanation:

yard → mile = divide the length value by 1760

7040 / 1760 = 4 miles per hour

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A store is selling 4 dozen doughnuts for 24$. Based on this price, how many doughnuts could you buy for 1$

Vlad1618 [11]

Answer:

Step-by-step explanation:

So first, you know that 4 dozen doughnuts = 48 doughnuts. Next, to find how much you could get for one dollar you have the ratio $24:48 doughnuts and you can divide both sides of this ratio by 24 to get $1:2 doughnuts.

6 0

3 years ago

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Tasha is packing gift bags that include the same items. she has 72 glow sticks, 36 markers, and 24 bottles of bubbles. Tasha bel

Lelu [443]

Answer:

Step-by-step explanation:

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3 years ago

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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those

givi [52]

(1) Vertical asymptote: $x=-4$

(2) Domain: $x>-4$

(3) X intercept: $(-2,0)$ and Y intercept : $(0,1)$

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is $f(x)=\log _{2} x$

The transformed function is $g(x)=\log _{2}(x+4)-1$

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

$x+4=0$

Thus, $x=-4$

The vertical asymptote is $x=-4$

(2) Domain:

The domain of a function is the set of all independent x-values.

$x+4>0$

Thus, $x>-4$

The domain of a function is $x>-4$

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}$

Thus, the x intercept is $(-2,0)$

To determine the y intercept, let us substitute x=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}$

Thus, the y intercept is $(0,1)$

(4) To determine the transformation:

The transformed function $g(x)=\log _{2}(x+4)-1$ is shifted 4 units to the left and shifted 1 unit downwards.

4 0

3 years ago

In a recent survey of favorite sodas 7 students chose coke. If these students represent 17.5% of the students surveyed, how many

katovenus [111]

Answer:

Step-by-step explanation:

7 = 17.5% × Y

STEP 2 7 =

17.5

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 17.5 we will arrive at:

STEP 3 Y = 7 ×

100

17.5

STEP 4 Y = 7 × 100 ÷ 17.5

STEP 5 Y = 40

8 0

3 years ago

-13/10x - 3/2 (11/6x +1)

lukranit [14]

So first simplify 11/6x into 11x/6. Then -13/10x into -13x/10. So you should now have (-13x/10-11x/4)-3/2. Combine the like terms -13x/10 and -11x/4 to get -81x/20 and then with your left over -3/2= -81x/20-3/2

4 0

3 years ago