<img src="https://tex.z-dn.net/?f=3%286%20-%204y%29%20-%202y%20%3E%205y%20-%20153" id="TexFormula1" title="3(6 - 4y)

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bekas [8.4K]

3 years ago

y - 153" alt="3(6 - 4y) - 2y > 5y - 153" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

lord [1]3 years ago

7 0

Solve for Y: y < 9

I don't know if you want me to solve for Y or not

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(2x+2y=10)+(-x+y=1)

ruslelena [56]

$\bf \begin{cases}
2x+2y=10\\
-x+y=1
\end{cases}\\\\
-------------------------------\\\\
-x+y=1\implies y=1+x\impliedby \textit{let's plug that in the first equation}
\\\\\\
2x+2(\stackrel{y}{1+x})=10\implies 2x+2+2x=10\implies 4x=8
\\\\\\
x=\cfrac{8}{4}\implies \boxed{x=2}\impliedby \textit{let's plug that in the second one}
\\\\\\
-(\stackrel{x}{2})+y=1\implies \boxed{y=3}$

7 0

3 years ago

How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?

Dmitriy789 [7]

Formula for triangle perimeter is: a + b + c. In this scenario we have:

a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet

a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in

We know that 1 foot is 12 inches, so we can simplify the result to this form:

10 ft + 6 in

or:

<u>10.5 feet</u>

4 0

3 years ago

9. If f(x)=x². g(x)=2x-1. and h(x) =find the following.

postnew [5]

Answer:

Please see the attached picture ! :D

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8 0

2 years ago

Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco

HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

For the considered case, we're given that:

Initial amount Laura deposited = $5,500 = P
Type of interest: Compound interest
Unit of time: Annually
Rate of interest = 1.6% annually = R
Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

$A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)$

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

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5 0

2 years ago

Please help me with this question

Trava [24]

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

<h3>What is the Area of a Sector?</h3>

Area of a sector of a circle = ∅/360 × πr²

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = 9 cm
Length of arc = 6π cm
Area of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

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4 0

2 years ago