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3 years ago

PLEASE ANSWER ASAP!! Will give brainliest!!

Mathematics

1 answer:

OLga [1]3 years ago

3 0

Answer:

B.(2,1)

Step-by-step explanation:

The line segment AB will translate onto segment AB' by the translation,

(x+2, y+1)

You add 2 to the x value and 1 to the y value of segment AB.

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An item is priced at $14.61. If the sales tax is 8%, what does the item cost including sales tax?

liubo4ka [24]

Answer:

(1.08)($14.61) = $15.78

4 0

3 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

6 0

3 years ago

Find the equation (in terms of x) of the line through the points (-2,4) and (2,0)<br> y =

solong [7]

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )

m = $\frac{0-4}{2-(-2)}$ = $\frac{-4}{2+2}$ = $\frac{-4}{4}$ = - 1 , then

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

7 0

3 years ago

Read 2 more answers

Water flows at the rate of 5 m per minute through a cylindrical pipe, whose diameter is 7 cm. How long it will take to fill the

NARA [144]

Answer:

It will take 1200 hrs to fill the vessel.

Step-by-step explanation:

Given:

diameter of the base of the conical vessel = 21 m

radius of the base of the conical vessel r = $\frac{21}{2}\ m$

height of the conical vessel = 12 m

Now we know the formula of Volume of conical vessel

volume of the conical vessel = $\frac{1}{3} \pi r^2h$

Substituting the values we get;

volume of the conical vessel = $\frac{1}{3} \times \pi \times\frac{21}{2} \times \frac{21}{2} \times12 \ \ \ \ \ equation\ 1$

Also Given:

Diameter of Cylindrical pipe = 7 cm

Radius of Cylindrical pipe = $\frac{7}{2} \ cm$

Now we know that 1 cm = 0.01 m

Hence Radius of Cylindrical pipe = $\frac{7}{200} \ m$

Let the conical vessel is filled in x minutes.

Then, length if the water column = $5x\ m$

Hence water column forms a cylinder of length $5x\ m$ and radius $\frac{7}{200} \ m$

So, Volume of water that flows in x minutes is given by = $\pi r^2h$

Volume of Water that flows in x minutes = $\pi \times \frac{7}{200} \times \frac{7}{200} \times 5x$

We will find the value of x by saying volume of the conical vessel is equal to Volume of Water that flows in x minutes.

Hence,

$\frac{1}{3} \times \pi \times\frac{21}{2} \times \frac{21}{2} \times12 = \pi \times \frac{7}{200} \times \frac{7}{200} \times 5x$

$x=72000\ mins$

Since 1 hour = 60 min

$x = \frac{72000}{60}= 1200 \ hrs$

Hence it will take 1200 hrs to fill the vessel.

3 0

3 years ago

I got this paper and it had different graphing calculator questions and on one it says check your answer and I don't know what t

dmitriy555 [2]

Answer:

The "check your answer" probably means check your answer by graphing.

Step-by-step explanation:

7 0

3 years ago