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lisov135 [29]
2 years ago
15

A ferry boat travels 178 miles in one week. How many miles does the boat travel in 4 weeks? Draw a diagram and use expanded form

to solve
Mathematics
2 answers:
Neko [114]2 years ago
7 0

Answer:

The ferry boat traveled 712 miles in 4 weeks.

Step-by-step explanation:

Ferry boat traveled in one week = 178 miles

It traveled in 4 weeks = 4 × 178

= 4 × (100 + 70 + 8)

= (4 × 100) + (4 × 70) + (4 × 8)

= 400 + 280 + 32

= 712

MArishka [77]2 years ago
4 0
I didn't draw a diagram, but this is simple multiplication.  178 x 4 = 712.  The boat traveled 712 miles in 4 weeks.  (I'm not good with expanded form, but that's the total miles.  Get a few more answers that may suggest a good expanded form.)
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You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec
andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

so

w+285\geq 500                

Solve for w                        

Subtract 285 both sides        

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

3 0
2 years ago
Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of
kkurt [141]

Answer:

<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>

Step-by-step explanation:

Given central angle PQR = 45°

Total angle in a circle = 360°

Ratio of the measure of central angle PQR to the measure of the entire circle is \frac{45}{360} = \frac{1}{8}. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.

Area of a sector = \frac{\theta}{360}*\pi r^{2}

\theta = central angle (in degree) = 45°

r = radius of the circle = 6

Area of the sector

= \frac{45}{360}*\pi (6)^{2}\\ = \frac{1}{8}*36 \pi\\  = 4.5\pi units^{2}

<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>

From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>

Since Area of the circle = πr²

Area of the circle = 36πunits²

The ratio of the area of the shaded sector to the area of the circle = \frac{4.5\pi }{36 \pi } = \frac{1}{8}

For length of an arc

= \frac{45}{360}*2\pi r\\= \frac{45}{360}*2\pi (6)\\= \frac{45}{360}*12 \pi \\= \frac{12\pi }{8} \\= \frac{3\pi }{2} units

ratio of the length of the arc to the area of the circle = \frac{\frac{3\pi}{2} }{36\pi} = \frac{3}{72} =\frac{1}{24}

It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle

5 0
2 years ago
Read 2 more answers
Mika estimated the sum of 189.27, 15.8, and 11.2 by rounding each number to the nearest whole.
shutvik [7]

Answer:

<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>

Step-by-step explanation:

Let's find the rounded sum and the actual sum, as follows:

Rounding each number to the nearest whole:

189.27 ⇒ 189

15.8 ⇒ 16

11.2 ⇒ 11

Sum = 189 + 16 + 11

Sum = 216

Actual sum:

Actual sum = 189.27 + 15.8 + 11.2

Actual sum = 216.27

<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>

7 0
2 years ago
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of
lisov135 [29]

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

7 0
2 years ago
A circle has a circumference of \blue{12}12start color #6495ed, 12, end color #6495ed. It has an arc of length \dfrac{8}{5} 5 8
Thepotemich [5.8K]

Answer:

Therefore,

The Central Angle is 48°.

Step-by-step explanation:

Given:

Circumference = 12 units

Arc\ length = \dfrac{8}{5}= 1.6\ unit

To Find:

Central angle = θ = ?

Solution:

If "θ" the central angle is in degree then arc of length is given by

Arc\ length = \dfrac{\theta}{360}\times Circumference

Substituting the values we get

1.6 = \dfrac{\theta}{360}\times 12\\\\\theta = 48\°

Therefore,

The Central Angle is 48°.

6 0
2 years ago
Read 2 more answers
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