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3 years ago

How many solutions does this equation have y=8x+5/2 And y=5/4x+1/7

Mathematics

1 answer:

Firdavs [7]3 years ago

8 0

One solution.

They have different slopes and therefore have one solution.

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Your school’s band decides to sell cookie dough kits to raise money for a spring field trip. There is a Family Times Cookie Doug

nikitadnepr [17]

Answer:

Step-by-step explanation:

let the Cookie Dough kit be x

and Baker’s Delight kit be y

cost of Cookie Dough kit= $7

cost of Baker’s Delight= $15

x+y=220------------1

7x+15y=2100------2

solve for x and y we have

multiply eqn 1 by 7 and subtract

7x+7y=1540---------3

- 7x+15y=2100-------2

0x-8y=-560

8y=560

divide both sides by 8 we have

y=560/8

y=70

put y=70 in eqn 1 we have

x+70=220

x=220-70

x=150

x=220-70

x=150

A. How many of each type of kit should your band purchase to raise the most money

Cookie Dough kit= 150

Baker’s Delight= 70

B. What is the most money that your band can raise?

Cookie Dough kit profit= selling price-cost price= 12-7= $5

Baker’s Delight profit= selling price-cost price= 25-15= $10

Amount made for Cookie Dough = 150*5=$750

Amount made for Baker’s Delight = 70*10=$700

total= 750+700= $1450

3 0

3 years ago

Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The

vodomira [7]

Answer:

2) ABCD is a RECTANGLE.

Perimeter = 30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

$PQ = \sqrt{(c-a)^2 + (d-b)^2$

Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4) is given as:

$AB = \sqrt{(11-6)^2 + (-4-(-4))^2} = \sqrt{(5)^2 + 0} = 5$

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6) is given as:

$BC = \sqrt{(11-11)^2 + (6-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6) is given as:

$CD = \sqrt{(11-6)^2 + (6-6)^2} = \sqrt{(5)^2 + 0} = 5$

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6) is given as:

$AD = \sqrt{(6-6)^2 + (-4-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ AD = 10 units

Now, here AB = CD = 5 units, AD = BC = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is a RECTANGLE.

Perimeter = AB + BC+ CD + AD = 5 + 10 + 5 + 10 = 30 units

8 0

3 years ago

Solve for y 2x-3y=-9

labwork [276]

Answer:

y=3+2x/3

Step-by-step explanation:

− 3 y=− 9 − 2x

Divide each term by -3 and simplify.

7 0

3 years ago

What is the length of a rectangle who’s permitter is P if the width is 6

dolphi86 [110]

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

Step-by-step explanation:

Hope this helps!

8 0

3 years ago

It costs $9 to travel 60 miles. Find the unit rate (cost per mile). Write your answer as a decimal (do not include labels).

Lana71 [14]

Answer:

6.6

Step-by-step explanation:

use a calculator to find your answers it works well

3 0

3 years ago