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ELEN
1 month ago
7

Jerry drove 10 miles in half the time it took Marcy to drive 10 miles. If jerry average speed was r miles per hour what was Marc

y average speed in miles per hour
Mathematics
1 answer:
tester [12.3K]1 month ago
8 0

Answer:

0.5r

Step-by-step explanation:

If Jerry completed his journey in half the duration that Macy did, it implies Macy's time was twice as lengthy. Assuming Jerry’s speed is r, Macy’s speed would therefore be 0.5r, indicating she travels at half Jerry's pace and takes twice as long to cover the distance.

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Will works 7 hours a day, 6 days a week.
PIT_PIT [12445]

For one day:
= £9.20 × 7
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For six days:
£64.40 × 6 = £386.40

After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276

To purchase a car worth £1932:
£1932/£276 = 7

Thus, he needs 7 weeks to save enough for the car priced at £1932.

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1 month ago
Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80
Inessa [12570]
P(X \ Y) = P(X ∩ Y)/P(Y)
P(X ∩ Y) = 80/1000 = 0.08
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8 0
1 month ago
the moon is about 240,000 miles from earth .What is the distance written as a whole number multiplied by a power of ten?
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8 0
1 month ago
Read 2 more answers
Below is an attempt to derive the derivative of sec(x) using product rule, where x is in the domain of secx. In which step, if a
tester [12383]

The mistake is present in step 3. According to the product rule, we find

\dfrac{\mathrm d}{\mathrm dx}(\sec x\times\cos x)=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x+\sec x\times\dfrac{\mathrm d}{\mathrm dx}(\cos x)

=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x\boxed{+\sec x\times(-\sin x)}

=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x\boxed{-\sec x\times\sin x}

(meaning that a factor of \sin x is overlooked)

Then

\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x-\sec x\times\sin x=0

\implies\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x=\sec x\times\sin x

\implies\dfrac{\mathrm d}{\mathrm dx}(\sec x)=\dfrac{\sec x\times\sin x}{\cos x}

\implies\dfrac{\mathrm d}{\mathrm dx}(\sec x)=\sec x\times\tan x

6 0
18 days ago
Find a line that lies entirely in the set defined by the equation x2 + y2 − z2 = 1.
zzz [12365]

Response:

x=1\,,\,y=t\,,\,z=t

Step-by-step explanation:

A line is defined as a one-dimensional entity that lacks thickness and stretches infinitely in both directions.

A line segment contains two endpoints, while a ray consists of a single endpoint.

The equation given is x^2+y^2-z^2=1.

Objective: to identify a line completely within the set designated by this equation.

Solution:

Consider x=1\,,\,y=t\,,\,z=t.

Verification:

L.H.S=1^2+t^2-t^2=1+0=1=R.H.S.

Thus, x=1\,,\,y=t\,,\,z=t fulfills the criteria of the given equation.

8 0
1 month ago
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