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3 years ago

Solve for w: 10 4 W +6 16

Mathematics

1 answer:

Vesna [10]3 years ago

3 0

Answer:

Step-by-step explanation:

The chords, when cut anywhere along their length so that there is one intersection point, will produce the following relationship for this question.

(w + 6)*4 = 16*10 Remove the brackets

4*w + 24 = 160 Subtract 24 from both sides

4w = 160 - 24 Combine the right

4w = 136 Divide by 4

w = 136/4

w = 34

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Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin

myrzilka [38]

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

5 0

3 years ago

A three-dimensional figure with one circular or elliptical base and a curved surface that joins the base to the vertex is called

babunello [35]

Answer:

a cone

Step-by-step explanation:

If the base is circular, then the cone is said to be a "regular" or "circular" cone, much like an ice cream cone.

If the base is elliptical, then it becomes an "elliptical" cone.

Both shapes can be right (where the perpendicular line dropping from the vertex lands on the exact center of the base) or oblique (when the line dropping from the vertex doesn't land on the center of the base)

3 0

3 years ago

Find the common difference of the arithmetic sequence -6, 2, 10

Butoxors [25]

Step-by-step explanation:

-6+8=2 by -6 will cut from 8 and remain 2.

2+8=10 by same way 8 will added to 2 and got 10.

I hope it will help you

7 0

3 years ago

List all possible rational roots. Then use synthetic division to confirm which rational roots exist:

Kisachek [45]

Answer:

$\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}$

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

$\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}$

In your function, the constant term is -10 and the leading coefficient is 2, so

$\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}$

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

$\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}$

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

$\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}$

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0

4 years ago

Katherine is considering two new cell phone plans. She doesn't want to spend more for minutes she won't use. One plan allows up

mojhsa [17]

Answer:

The first plan of $49 will be best plan for her.

Step-by-step explanation:

Katherine used 1479 minutes call in the last 6 months.

So, the average monthly call that Katherine made is $\frac{1479}{6} =246.5$ minutes.

Now, there are two plans for mobile recharge.

One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.

Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)

8 0

4 years ago