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amm1812
4 years ago
8

translate this sentence into an equation. the product of janelles saving and 3 is 54 . use the variable j to represent janelles

saving.
Mathematics
1 answer:
gladu [14]4 years ago
7 0
J+3=54
Janelles savings plus 3 is 54 ?
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Simplify the expression
Molodets [167]

Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.

So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

8x^8/3 y^4 - The first option.

Hope this helped!

7 0
3 years ago
SINE COSINE and TANGENT ratios <br>(Type an integer or simplified fraction)
katen-ka-za [31]

Answer:

<em>17 / 8</em>

Step-by-step explanation:

sec A = \frac{1}{cos A}

cos A = \frac{40}{85} = \frac{8}{17} ⇒ <em>sec A = </em>\frac{17}{8}<em> </em>

6 0
3 years ago
HELP THIS IS THE LAST ONE I HOPE..​
saveliy_v [14]
Your answer is either 11/3 or -11/3
7 0
3 years ago
Read 2 more answers
In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
scoundrel [369]

Answer:

m∠B = 97^{o}.

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

b^{2} = a^{2} + c^{2} - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

680^{2} = 660^{2} + 100^{2} -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

                        = -16800

Cos B = \frac{-16800}{132000}

         = -0.1273

B = Cos^{-1} -0.1273

  = 97^{o}

Thus, measure of ∠B is 97^{o}.

7 0
3 years ago
Read 2 more answers
Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of
Lubov Fominskaja [6]

Answer:

G. 6 months

Step-by-step explanation:

1. 495-165 to remove the one-time payment = 330

2. 330/55 to find the number of months = 6

4 0
4 years ago
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