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kow [346]
3 years ago
11

Need help please !!Solve the inequality. Show your work please(: 5y +16≤56

Mathematics
2 answers:
castortr0y [4]3 years ago
6 0

Answer:

y ≤  8

Step-by-step explanation:

given equation,

       5 y   +  16   ≤  56........................(1)

to solve the equation (1)

subtract both side by 16

       5 y   +  16 - 16    ≤  56 - 16

                          5 y   ≤  40

dividing both  the side  by 5

                     \dfrac{5y}{5} \leq \dfrac{40}{5}

                       y ≤  8

hence,on solving equation we get y ≤  8

yan [13]3 years ago
3 0
Hope this can help u

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Mars2501 [29]

Answer:

BC=12.8,\\AC=15.1

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

\tan 58^{\circ}=\frac{BC}{8}

Solving, we get:

BC=8\tan 58^{\circ}\approx \boxed{12.8}

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark

6 0
2 years ago
3(6p-1)=11p-45 heeelp
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Step-by-step explanation:

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4 0
2 years ago
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R/16 + 6 = 7 pLEASE HELP WITHIN A HOUR OR TWO
cestrela7 [59]

Solution:

<u>Simplify the equation and solve for r.</u>

  • r/16 + 6 = 7
  • => r/16 = 7 - 6
  • => r/16 = 1
  • => r = 16

The value of r is 16.

<u>Check:</u>

  • r/16 + 6 = 7
  • => 16/16 + 6 = 7
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7 0
2 years ago
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Algebraic expression for 12 divided by t ?
Dimas [21]

Answer:

\frac{12}{t}

Step-by-step explanation:

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debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

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Then the size of the final payment would be $1,304.70

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