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olasank [31]
2 years ago
13

Solve for x: 7x-3/5x-2 = -2​

Mathematics
1 answer:
VMariaS [17]2 years ago
4 0

Step-by-step explanation:

<h3>★ Solution:-</h3>

\sf \leadsto \dfrac{7x - 3}{5x - 2} = -2

\sf \leadsto 7x - 3 = -2(5x - 2)

\sf \leadsto 7x - 3 = -10x + 4

\sf \leadsto 7x + 10x = 4 + 3

\sf \leadsto 17x = 7

\sf \leadsto x = \dfrac{7}{17}

Hence the value of x is 7/17

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When making cookies, Avery needs 15 minutes to prepare the dough and an additional 12 minutes of baking time for each batch of c
Tresset [83]

Answer: 1 27

2. 54

9 243

10. 270

Step-by-step explanation: for one batch, the total minutes will be 15 + 12, so 27. Multiply 27 times b, the number of batches.

There may be another solution IF he is starting to prepare the next batch while the preceding is in the oven. Since this is not stated, I won't offer that solution here.

5 0
3 years ago
Sarah’s stands on a ground and sights the top of a steep Clift at a 60 degree angle of elevation she then steps back 50 meters t
SashulF [63]

Answer:

Cliff is 45 m tall.

Step-by-step explanation:

Given:

Height of Sarah = 1.8 m

Angle of elevation = 60°

Angle of elevation 50 m back = 30°

As shown in the figure we have two right angled triangles SPQ and SPR.

Let the height of the cliff be h meters and h= h_1+h_s.

Using trigonometric ratios:

tan (Ф) = opposite/adjacent

In ΔSPQ.                                        In ΔSPR.

⇒ tan(60) = \frac{h_1}{x} ...equation (i)        ⇒ tan (30)=\frac{h_1}{x+50}  ...equation (ii)

Dividing equation (i) and (ii)

⇒ \frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}

⇒ 3 = \frac{x+50}{x}

⇒ 3x=x+50

⇒ 3x-x=50

⇒ 2x=50

⇒ x=\frac{50}{2}

⇒ x=25 meters

To find h_1 plugging x=25 in equation (i)

⇒ h_1=x\times tan(60)

⇒ h_1=25\times 1.73

⇒ h_1=43.25 meters

The height of the cliff from ground :

⇒ h= h_1+h_s

⇒ h= 43.25+1.8

⇒ h=45.05 meters

The cliff is 45 m tall to the nearest meter.

8 0
4 years ago
Whet is 2y+14x-7x+9y
matrenka [14]

Answer:

Step-by-step explanation:

2y + 14x - 7x + 9y

2y + 9y + 14x - 7x

11y + 7x

6 0
3 years ago
Read 2 more answers
Find four consecutive even integers whose sum is 190.
Snowcat [4.5K]
The answer would be 46,47,48,49
4 0
3 years ago
After a storm damage is the community center sent Kiya and her friends hold fundraising events to help pay for repairs after the
andrew-mc [135]

Answer: the total amount of money that they wanted to raise is $2400

Step-by-step explanation:

Let x represent the total amount of money that Keelan and her friends want to raise.

After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as

10/100 × x = 0.1 × x = 0.1x

Therefore,

0.1x = 240

Dividing both sides of the equation by 0.1, it becomes

x = 240/0.1

x = $2400

7 0
3 years ago
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