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wolverine [178]
3 years ago
6

Someone, pls. I need ur help.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer: 48°

Step-by-step explanation: AD=AB, ∠ADC=∠ABC.

(5x-147)°=2x°, 3x=147, x=49.

So, ∠ADC=∠ABC=98°,

∠DCB=360°-{116°+2(98°)}

=360°-(116°+196°)

=360°-312°

=48°

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Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
podryga [215]

Answer:

  • 35%

Explanation:

<u>1. Cost of each liter of yellow paint:</u>

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

<u>2. Cost of each liter of blue paint:</u>

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

<u>3. Cost of each liter of green paint.</u>

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint:     3 liter × £4.8 / liter = £14.4

                                 ==========              ========

5 liters green paint:   5 liter                        £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

<u>4. Profit</u>

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 =  35.08% = 35%

4 0
4 years ago
James bought a plant that was 3 inches tall. Each week the plant
sattari [20]

Answer:

1.5 inches/ week

Step-by-step explanation

Given

Height of he plant = 3in

If the plant grows by 2in every week

The rate of change = Height of plant/weekly increase

The rate of change = 3/2 = 1.5 inches/ week

6 0
3 years ago
A rectangular picture frame has a width of 9 cm and a length of x cm.
VladimirAG [237]
We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.

The formula for the Perimeter of a rectangle is given by
P=2L+2W

where L is the length and W is the width of the rectangle.

Hence,
P=2(x)+2(9)
Simplifying this values would give us a result of,
P=2x+18

Therefore, 2x+18 is the expression that represent the perimeter of the picture frame.
3 0
3 years ago
Read 2 more answers
To amend U.S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve an amendment, will the Constit
Elodia [21]
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
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<span>35/50 >= 3/4
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7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
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we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
5 0
3 years ago
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UNO [17]

Answer:

at least 51,569 blocks ( same as 51569)

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3 0
3 years ago
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