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vredina [299]
2 years ago
11

Divide 60 crayons between 2 pupils so that get twice as many as the other​

Mathematics
2 answers:
Neko [114]2 years ago
4 0

Answer:

While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.

vovangra [49]2 years ago
4 0

Answer:

First pupil will have 40 crayons

Second pupil will have 20 crayons

Step-by-step explanation:

Ratio will be 2:1, total ratio = 2+1 = 3

First pupil

= { \tt{ \frac{2}{3} \times 60 }} \\  \\  = { \tt{40 \: crayons}}

Second pupil

= { \tt{ \frac{1}{3}  \times 60}} \\  \\  = { \tt{20 \: crayons}}

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Megan is checking her tax bill for the last year.
Tanya [424]
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45% 
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>

Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>

Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>

Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800

Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
8 0
2 years ago
Ava, Kate, and Jin bring all the food to a picnic. Ava brings 34, Kate brings 16, and Jin brings 112. Enter a numerical expressi
juin [17]

Answer:

Step-by-step explanation:

Given that:

Ava bring 34 food to the picnic

Kate bring 16 food to the picnic

JIn brings 112 food to the picnic

To enter these digits by applying equivalent fractions with a denominator of 12;

Their respective numerical expression is:

Ava = \dfrac{34}{12}

Ava brought 2 \dfrac{5}{6} food to the picnic

Kate = \dfrac{16}{12}

Kate brought 1 \dfrac{1}{3} food to the picnic

Jin = \dfrac{112}{12}

Jin brought 9 \dfrac{1}{3} food to the picnic

6 0
2 years ago
Read 2 more answers
A boat is sighted from a 50-meter observation tower on the shoreline at an angle of depression of 4 degrees moving directly towa
MAXImum [283]

Answer:

  5.76 km/h

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).

  Tan = Opposite/Adjacent

  tan(4°) = (height of tower)/(distance from shore)

  tan(4°) = (50 m)/(distance from shore)

Then the distance from shore is ...

  distance from shore = (50 m)/tan(4°) ≈ 715.03 m

__

At the second sighting, the distance from shore is ...

  distance from shore = (50 m)/tan(12°) ≈ 235.23 m

So, the distance traveled in 1/12 hour is ...

  715.03 m - 235.23 m = 479.80 m

and the speed in km per hour is ...

  speed = 0.4798 km/(1/12 h) = 5.7576 km/h

The speed of the boat is about 5.76 km per hour.

4 0
3 years ago
identify the kind of sample that is described. the superintendent of a large school district wants to test the effectiveness of
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The sample used in this problem is classified as cluster.

<h3>How are samples classified?</h3>

Samples may be classified as:

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  • Systematic: Every kth element is taken.
  • Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
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For this problem, a group of schools is selected, and then the new program is applied to all students in these school, meaning that all elements in the cluster are surveyed, so cluster sampling is used.

More can be learned about classification of samples at brainly.com/question/25122507

#SPJ1

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Sonja [21]

Answer:

BDC  and ADB

Step-by-step explanation:

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2 years ago
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