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3 years ago

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When Nathan’s mother drives him to school, it takes ⅕ hour. When Nathan walks to school, it takes him 4 times as long to get to

school.
How long does it take Nathan to walk to school?

1 answer:

guajiro [1.7K]3 years ago

3 0

Answer: 4/5 of an hour

Step-by-step explanation: 1/5 times 4 is 4/5

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The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What

ahrayia [7]

Answer : The 5th day = 3 Celsius

Explanation:
the average of the first 4 day is 8
Which mean the combine temp on the first 4 day is 8 x 4 = 32

Now on the first 5 day the average temp is 7

Then the combine temp on the first 5 day is 7 x 5 = 35

Find the 5th day

4 days combine temp + 5th day = the combine temp of 5 days

32 + 5th day = 35
5th day = 35-32
5th day temp = 3C

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3 years ago

Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca

Ganezh [65]

Answer:

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

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3 years ago

Read 2 more answers

Ross drives 340 miles in 5 hour if ross continues to drive at the same rate how many miles can he drive in 10 hours?

yKpoI14uk [10]

He can drive about 680 miles in 10 hours.

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3 years ago

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

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3 years ago

24/10 as a decimal on a math paper

11Alexandr11 [23.1K]

Answer:

2.40

Step-by-step explanation:

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3 years ago