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Len [333]
3 years ago
9

A number is divided in the ratio 7:4.If the first part is 105,find the number

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
105/7 = 15
15x4= 60

105:60

I think
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PLEASE ANSWER CORRECTLY
inn [45]

Answer:

$76.32

Step-by-step explanation:

First, add up all the costs for everything:

17 + 30 + 25 = 72

Now, we need to add the sales tax. To do this we multiply 72 by 1.06. This is because the sales tax is 6% (the decimal form of 6% is 0.06), and we add it on to the 100% cost (which is 1 in decimal form).

(72)(1.06) = 76.32

Therefore the total cost of everything Walter bought plus the tax rate is $76.32.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

7 0
2 years ago
Find the inverse of f(x)=(x−5)/(−4x−2)
uysha [10]

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

f(x) =  \frac{x - 5}{ - 4x - 2}

Let

y =  \frac{x - 5}{ - 4x - 2}

Interchange x and y

x=  \frac{y- 5}{ - 4y - 2}

Cross multiply

x( - 4y - 2)= y- 5

Expand

- 4xy   - 2x= y- 5  \\ - 4xy  - y=  2x - 5 \\y( - 4x - 1)=  2x - 5

Solve for y;

y= \frac{  2x - 5}{ - 4x - 1}

or

y= \frac{  5 - 2x }{ 4x  + 1}

Therefore

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

7 0
3 years ago
Find the area of the shaded region.
lbvjy [14]

Answer:

48\pi\\\approx 150.796

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

A=(\pi)(r^2)

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. (\pi) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

A_l-A_s\\=64\pi - 16\pi\\=48\pi

\approx150.796

5 0
3 years ago
Monisha and Dave each sold more magazine subscriptions as part of a fundraiser Monisha rays have as much money as the rays toget
tatyana61 [14]
Monisha = x/2

Dave = x

x + (x/2) = 213.75

1. Solve for x.

2. Evaluate x/2 to find the total amount raised by Monisha.

Take it from here.
4 0
3 years ago
HELP ASAP PLEASE!
Genrish500 [490]

Step-by-step explanation:

lets take a look....

In order to find the perimeter of a triangle you have to get the sum of all sides. In other words,

Blue triangle:

p = (4x +2) + (7x + 7) + (5x  - 4) \\ p = 4x + 2 + 7x + 7 + 5x - 4 \\ p = 16x + 5

Red triangle:

p = (x + 3) + (2x - 5) + (x + 7) \\ p = x + 3 + 2x - 5 + x + 7 \\ p = 4x + 5

Difference:

d = (16x + 5) - (4x + 5) \\ d = 16x + 5 - 4x - 5 = 12x \\ d = 12x

4 0
3 years ago
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