All categories

3 years ago

Slove all of it please 100 points

Mathematics

2 answers:

Gre4nikov [31]3 years ago

7 0

Answer:

$\boxed{\mathrm{view \: explanation}}$

Step-by-step explanation:

Question 1:

$5x+y-7=0$

Write in slope intercept form.

$y=-5x+7 \\m=-5,b=7\\9x+7y-14=0$

Write in slope intercept form.

$7y=14-9x\\y=-9x/7 +14/7\\y=-9/7 + 2\\m=-9/7, b=2$

Question 2:

$x+y=1000\\4x+3y=3600$

$3x+3y=3000\\4x+3y=3600\\3x+3y-(4x+3y) = 3000-3600\\3x+3y-4x-3y=-600\\-x=-600\\x=600$

$x+y=1000\\600+y=1000\\y=1000-600=400$

Tickets sold:

Adults:

$x=600$

Kids:

$y=400$

Katyanochek1 [597]3 years ago

4 0

Answer:

Step-by-step explanation:

5x+y-7=0 isolate y

y=-5x+7 (m=-5,b=7)

9x+7y-14=0

7y=14-9x ( divide both sides by 7)

y=-9x/7 +14/7

y=-9/7 + 2 (m=-9/7, b=2)

x+y=1000

4x+3y=3600 ( multiply the first equation by 3 to eliminate y)

3x+3y=3000

4x+3y=3600 ( subtract the two equations)

3x+3y-(4x+3y)=3000-3600

3x+3y-4x-3y=-600

-x=-600

x=600 ( substitute x in the equation)

x+y=1000

600+y=1000

y=1000-600=400

check : x+y=1000 , (600+400)=1000

check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600

how many tickets are sold :

adults x=600/4=150

kids (y)=400/3=133 tickets+1 dollars left

unless( x represent kids then x=200, y represent adult = 100)

You might be interested in

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

3 years ago

A store received a shipment of 4 boxes of peanuts. All four boxes were stacked on top of each other and measured 12 feet high. H

hram777 [196]

Answer: The store receive 3 ounces of peanuts. (Please tell me if you get the answer correct. ^^)

3 0

3 years ago

Read 2 more answers

Present the inequality x > 23 ?

Tanzania [10]

Answer:

x > 23 I think

Step-by-step explanation:

8 0

3 years ago

Please help I'm very confused and frustrated.

Ray Of Light [21]

Step-by-step explanation:

-36.8 + 9.2(2). [as the value of x is 2]

-36.8 + 18.4

= - 18.4 [as the number with the

Negative sign is greater]

7 0

3 years ago

Read 2 more answers

How do you write x+y=9 in y=mx+b?

Alina [70]

Y=-x+9 is the correct answer

4 0

3 years ago

Read 2 more answers