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3 years ago

Solve the equation 9r - 2 = 16 for r. A) 1 B) 2 C) 4 D) 6

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

9r - 2 = 16

9r = 16 + 2

9r = 18

r = 2

Answer : B) 2

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Angelina_Jolie [31]

Answer:

A is correct ..............

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2 years ago

Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r

zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

I = prt, where I = interest, p = principal amount, r = interest rate and t = time. Plugging in the values from the problem:

p = $7,050

r = 8.4% or 0.084

t = 6 years

I = (7050)(0.84)(6) = $3,553.20

To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0

3 years ago

Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 unit

Archy [21]

Answer-

Perimeter of the kite is 16.2 units

Solution-

As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY

So, perimeter of the kite WXYZ is,

$=2(\overline{WX}+\overline{WZ})$

And

$\overline{WX}=\sqrt{(1-3)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}$

$\overline{WZ}=\sqrt{(1-3)^2+(1+3)^2}=\sqrt{(-2)^2+(4)^2}=\sqrt{4+16}=\sqrt{20}$

So, perimeter will be,

$P=2(\sqrt{13}+\sqrt{20})=16.15\approx 16.2\ units$

4 0

2 years ago

Read 2 more answers

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

The length of a rectangle is 3 times the width. If the length is decreased by 4 meters and the width is increased by 1 meter, th

olga nikolaevna [1]

Good morning☕️

______

Answer:

w is the width

L is the length

p is the perimeter

w=9

L=27

___________________

Step-by-step explanation:

p=2[(L-4) + (w+1)]

⇔p=2[(3w-4) + (w+1)]

⇔p=2[4w-3]

⇔p=8w-6

⇔66=8w-6

⇔8w=72

⇔w=9

Then L=3w=27

6 0

3 years ago