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3 years ago

Can someone please help me solve this with showing work

1 answer:

6 0

We substitute the numbers first.

(315)/5 - 10(-2^5)

Divide and do the exponent.

70 - 10(-32)

Now multiply 10(-32)

70 - (-320)

Double negative turns to positive.

390

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big pictures are 56$ each small ones are 34$. 97 were sold at the total of 4,376. how many big and small pictures were sold

iVinArrow [24]

Answer:

The number of big pictures are 49 and number of small pictures are 48 .

Step-by-step explanation:

Let us assume that the number of big pictures are x .

Let us assume that the number of small pictures are y .

As given

Big pictures are 56$ each small ones are 34$.

97 were sold at the total of $4,376.

Equations becomes

x + y = 97

56x + 34y = 4376

Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .

56x - 56x + 34y - 56y = 4376 - 5432

-22y = - 1056

22y = 1056

$y = \frac{1056}{22}$

y = 48

Put value of y in the equation x + y = 97

x + 48 =97

x = 97 - 48

x = 49

Therefore the number of big pictures are 49 and number of small pictures are 48 .

6 0

4 years ago

Find the distance from point A to the given line.

VMariaS [17]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the distance between the line which formed like :

$ax + by + c = 0$

and the point which is like :

$h = \binom{m}{n} \\$

we use following equation :

$d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\$

_________________________________ Step (2)

$y = - x + 4$

$x + y - 4 = 0$

So ;

$a = 1$

$b = 1$

$c = - 4$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\$

$d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\$

$d = \frac{3}{ \sqrt{2} } \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0

3 years ago

The function y = f(x) is graphed below. What is the average rate of change of the

stepladder [879]

Answer:

Average rate of change = 1

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is defined by,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4

Therefore, average rate of change of the function = $\frac{f(4) - f(2)}{4-2}$

From the graph attached,

f(4) = 4

f(2) = 2

Average rate of change = $\frac{4-2}{4-2}$

= 1

Therefore, average rate of change of the function in the given interval is 1.

7 0

3 years ago

an electrician charges $90 to identify a problem and $85 per hour to fix a problem. Write an equation to express the relationshi

JulsSmile [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

If point D is the midpoint of segment BC then what are the coordinates of point D given B(5,-2) and C (-7,-2)

Neko [114]

Point d is at (-1, -2) find the average of the values to get the midpoint

5 0

3 years ago