Enter 4/5 and 1/3 as a pair of equivalent fractions with the least common denominator between the two fractions.

Answer:

1. 50 km/h

2. 900 km/h

3. 3 hours

Step-by-step explanation:

1. The distance the car travels, Δd = 300 km

For how long it takes the car to travel the 300 km, Δt = 6 hours

Average speed, [tex]\overline v[/tex], is given as follows;

[tex]\overline v = \dfrac{The \ total \ distance }{The \ total \ time \ it \ takes } = \dfrac{\Delta d}{\Delta t}[/tex],

[tex]\therefore \overline v = \dfrac{300 \ km}{6 \ hours} = 50 \ \dfrac{km}{hour}[/tex]

The average speed of the car, [tex]\overline v[/tex] = 50 km/h

2. The distance the jet plane flies, d = 8,100 km

For how long it takes the the jet plane to fly the 8,100 km, t = 9 hours

The speed, v, of the jet plane is given as follows;

[tex]Speed, \ v = \dfrac{Distance}{Time} = \dfrac{d}{t}[/tex]

[tex]v = \dfrac{The\ distance \ the \ jet plane \ flies}{The \ time \ it \ takes \ to \ fly \ thart \ distance } = \dfrac{d}{t }[/tex],

[tex]\therefore v = \dfrac{8,100 \ km}{9 \ hours} = 900 \ \dfrac{km}{hour}[/tex]

The speed of the jet plane, v = 900 km/h

3. The speed of the storm, v = 20 km/h

The distance of the storm from the house, d = 60 km

The time 't' it takes the storm to reach the house is given as follows;

[tex]Speed, \ v = \dfrac{d}{t}[/tex]

Therefore, by cross multiplying and dividing by 'v', we get;

[tex]Time, \ t = \dfrac{d}{v}[/tex]

Plugging in the known values of 'd' and 'v' gives;

[tex]Time, \ t = \dfrac{60 \ km}{20 \ \dfrac{km}{hour} } = 3 \ km \times \dfrac{hour}{km} = 3 \ hours[/tex]

The time it takes the storm to reach the house, t = 3 hours.

Answer:

6.9 Miles

Step-by-step explanation:

I took the test and got it right,

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

From the isosceles triangle:

h = 4sin30

h = 4(1/2)

h = 2 miles

From Pythagoras theorem:

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

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Answer:

6

Step-by-step explanation:

The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.

Answer:

1/5

Step-by-step explanation:

What's the question being asked here?

Have an amazing day :)

-yO mAmA

Answer:

Wegman's, roughly 3 cents

Step-by-step explanation:

Divide the price by the number of paper towels in the pack to get the unit price.

$15.72/12= $1.31

$13.35/10= $1.335, round since it's money, $1.34

$1.34-$1.31= $0.03 or 3 cents

Wegmans has the better buy, as their unit price is lower.

The difference in unit prices between the two stores is $0.03 per paper towel.

To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.

The unit price is the cost per paper towel.

For Wegmans:

Cost of 12 pack of paper towels = $15.72

Number of paper towels in the pack = 12

Unit price at Wegmans = Total cost / Number of paper towels

Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel

For Tops:

Cost of 10 pack of paper towels = $13.35

Number of paper towels in the pack = 10

Unit price at Tops = Total cost / Number of paper towels

Unit price at Tops = $13.35 / 10 = $1.34 per paper towel

Now, we compare the unit prices:

At Wegmans, the unit price is $1.31 per paper towel.

At Tops, the unit price is $1.34 per paper towel.

The store with the lower unit price has the better buy.

In this case, Wegmans has the better buy, as their unit price is lower.

To find the difference in unit prices:

Difference in unit prices = Unit price at Tops - Unit price at Wegmans

Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel

So, the difference in unit prices between the two stores is $0.03 per paper towel.

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Answer:

x2+7

Step-by-step explanation:

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Answer: 2.5 x 5.5 = 13.75

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

A- 4 yards

Step-by-step explanation:

Hope this helps!

Have a nice day <3

After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.

Given that,

Change the number 144 inches into yards.

Used the concept of measurement unit which stated that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 yards = 36 inches

1 inch = 1/36 yards

So, we can change the number 144 inches into yards,

1 inch = 1/36 yards

144 inches = 144/36 yards

= 4 yards

Therefore, 144 inches is equivalent to 4 inches.

Option (a) is true.

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Answer:

120

Step-by-step explanation:

Answer:

(0,-7)

Step-by-step explanation:

4x - y = 7

-y = -4x + 7

y = 4x - 7

-4x + (4x - 7) = -7

-4x + 4x - 7 = -7

x = 0

4(0) - y = 7

-y = 7

y = -7

Answer: 71.43 i think

Step-by-step explanation:

Answer:

27+9=36

Step-by-step explanation:

Hope this helps!

Answer:

3 - 13i

Step-by-step explanation:

3 - 6i - 7i

3 - 13i

Answer:

D)222 cm²

Step-by-step explanation:

(4)(3)+15(4+5+5)=222cm²

hope it helps

have a great day :)

Answer:

x = 2

Step-by-step explanation:

the radius is 5

both triangles are congruent because of the SAS theorem.

x = 2 because corresponding parts of congruent tringles are congruent.

Answer:

1. 1/3 pi r^2 h

2. pi r^2 h

3. 1/3 B h

4. lwh

5. Bh

Match the shape with the correct formula for finding the volume :-

SHAPES :-

FORMULAE :-

Answer:

12

Step-by-step explanation:

If Hannah bought 12 pens and brought them to school, then she would have brought 12 pens to use during school.

Step-by-step explanation:

So our m = (4+1)/(3+2) = 1

4 = -2 + b

b = 6

y = x + 6

Answer:

100 hours

Step-by-step explanation:

it's very simple just reduce it to 1 carpenter 1 hour and 1 chair

Answer:

1:6 = 7:42

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

let the number be x

15% of x= 0.15x

0.15x=30

(divide both sides by 0.15)

x= 200

25% of 200 = 25/100 *200

= 50

Answer: D. 2

Step-by-step explanation:

Given

y-1=2(x--2)

Change signs

y-1=2(x+2)

Expand parenthesis

y-1=2x+4

Add 1 on both sides to isolate "y"

y-1+1=2x+4+1

y=2x+4

So the slope is 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B. 7/30

Step-by-step explanation:

1st time to pick red is 8/16        8 red cubes out of 16 are red

2nd time to pick red is 7/15       7 red cubes out of 15 are red,

                                                      *if one red is picked already

8/16  x 7/15 = 7/30

Answer:

x=15

Step-by-step explanation:

30°=5

60°=10

SO right angle 90°=15

Answer:

a 3,5,5,11

b 3,3,37,3

- 2,269

d 113, as it is a prime factor

Answer:

she had a perfect score in 1/8 of all tests

she had a perfect score in 4 tests

Step-by-step explanation:

Tamara earned an A in 5/8 of all the tests she took.

In 1/5 of the those tests she got an A, she had a perfect score.

1/5 of 5/8 is 1/5 * 5/8 which equals 5/40 which can be reduced to 1/8.

That means that in 1/8 of all tests she took she got a perfect score.

She took a total of 32 spelling tests.

1/8 of 32 = 1/8 * 32 = 32/8 = 4

Answer:

she had a perfect score in 1/8 of all tests

she had a perfect score in 4 tests