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Anvisha [2.4K]
4 years ago
12

5-7y/2+4y equals -8/7​

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
4 0

Answer:

\boxed{y = 3}

Step-by-step explanation:

=  > \frac{5 - 7y}{2 + 4y}  =  -  \frac{8}{7}  \\  \\  =  > 7(5 - 7y) =  - 8(2 + 4y) \\  \\  =  > (7 \times 5) - (7 \times 7y) = ( - 8 \times 2) + ( - 8 \times 4y) \\  \\  =  > 35 - 49y =  - 16  - 32y \\  \\  =  > 35 - 49y + 32y =  - 16 \\  \\  =  > 35 - 17y =  - 16 \\  \\  =  - 17y =  - 16 - 35 \\  \\  =  >   \cancel{- }17y =  \cancel{- } 51 \\  \\  =  > 17y = 51 \\  \\  =  > y =  \frac{51}{17}  \\  \\  =  > y = 3

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the angle theta is located in quadrant 1 and cos of theta is 3/8. what is the value of sin of theta ?
ra1l [238]

Answer: sin of theta = (√55)/8

Step-by-step explanation:

Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.

8 0
3 years ago
Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar
tino4ka555 [31]
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>


6 0
4 years ago
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve
jonny [76]

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

6 0
3 years ago
Read 2 more answers
When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will
PtichkaEL [24]

Answer:

The correct answer is 9 m per second^{2}

Step-by-step explanation:

Force is defined by mass of an object times it's acceleration.

Let the mass of the object be m kilograms.

When a force of 30 N acts on a certain object the acceleration of the object is 5 m per second^{2}

∴ 30 = m × 5

⇒ m = 6.

If the force is changed to 54 N, let the acceleration of the object be x  m per second^{2}.

∴ 54 = m × x

⇒ x = \frac{54}{6} = 9

Thus when the force is 54 N, the acceleration of the object is 9 m per second^{2}.

6 0
4 years ago
Which lists the fractions 9/5, 13/8, and 1 and 3/5 in order from least to greatest?
aleksklad [387]
3/5, 1, 13/8, 9/5 this is the answer to your question
5 0
4 years ago
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