A school paid $248 for new basketballs and soccer balls. The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased. Basketballs cost $28 each and soccer balls cost $20 each. How many soccer balls did the school purchase?​

Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

26x+63=36(Simplify both sides of the equation)

26x+63+−63=36+−63(Add -63 to both sides)

26x=−27

26x

26

=

−27

26

(Divide both sides by 26)

Answer:

45 I'm pretty sure. so it 45

Answer:

The figure is 5.5in^2.

Step-by-step explanation:

To find the area of the triangle portion, we will use the formula for area of a triangle, [tex]\frac{bh}{2}[/tex], where b = base and h = height.

So lets find our variables,

b = 3

h = 3

So we can plug that into our equation and find the area,

3 · 3 = 9 and 9 ÷ 2 = 4.5

So the area of the triangle is 4.5in^2

To find the area of the square portion, we will use the formula for the area of a square or rectangle, l · w, where l = length and w = width

So lets find our variables,

l = 1

w = 1

So 1 · 1 = 1in^2

To find the total area we will add the areas of the two components together,

4.5 + 1 = 5.5in^2

So the area of the total figure is 5.5in^2.

Answer:

C

Step-by-step explanation:

Hope this helps

Answer: 45

Step-by-step explanation:

Answer:

f(3)=21

g(-4)=-14

Step-by-step explanation:

Hope this helps

Answer:

pohujnkmhugyfdtr

Step-by-step explanation:

The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250

using the geometric sequence formula,

where

a = first term = 2

r = common ratio  = 5

let find the remaining 3 terms

The 2nd term can be found below

The 3rd term can be found below

The 4th term can be found as follows

Therefore, the first 4 terms are 2, 10, 50, 250.

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Given :

Martin drinks 1/4 of a litre of juice each day.

Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.

To Find :

Martin buys enough juice to last for 2 weeks (14 days).

What is the lowest price Martin can pay for this juice.

Solution :

Amount of litre used in 14 days is :

V = 14× ( 1/4 )

V = 3.5 liter

Lowest price to pay is :

P = 2 × Cost of one 2 L carton

P = £(2 × 3.60)

P = £7.2

The lowest price Martin can pay for this juice is £7.2 .

Hence, this is the required solution.

Answer:

x = 10

Step-by-step explanation:

x + 5 = 15

x = 15 - 5

x = 10

Thus, x = 10

-TheUnknownScientist

Answer:

I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80

Answer:

1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].

2. Increasing exponential growth functions will rise much quicker than increasing linear functions.

3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

Answer:

Linear functions are written in the form  whereas exponential functions are written in the form .

Step-by-step explanation:

Answer: x = -1/2

-x + 5 - 5x = 8

⇔ -6x + 5 = 8

⇔ -6x = 3

⇔ x = 3/(-6) = -1/2

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

-x +5-5x=8

-6x= 3

Answer:

Step-by-step explanation:

Answer:

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Step-by-step explanation:

As we know that

sinФ = opposite ÷ hypotenuse

Given the triangle with

The length of the hypotenuse of a right triangle can be calculated as:

[tex]c=\sqrt{a^2+b^2}[/tex]

[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]

[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]

[tex]c=\sqrt{18+80}[/tex]

[tex]c=\sqrt{98}[/tex]

[tex]c=\sqrt{7^2\cdot \:2}[/tex]

[tex]c=\sqrt{2}\sqrt{7^2}[/tex]

[tex]c=7\sqrt{2}[/tex]

so

sinФ = opposite ÷ hypotenuse

substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Therefore,

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Answer:

6 Boxes

Step-by-step explanation:

6 Boxes

1 Poster and 1 Banner in each box

Answer: domain and range are all real numbers!

Step-by-step explanation:

Answer:

a. 1/2

b. 5/3

c. 0

d. undefined

Step-by-step explanation:

Answer:

both negative 1 over two

Step-by-step explanation:

Answer:

-10/5 for green line aka -2x

and the parallel line would be the same -2x

the equations would be

y= =2x- 6

and the other would be

y= -2x-6

(this should be right)

Answer:

the answer is 5

Step-by-step explanation:

Answer:

3/8 I believe.

Step-by-step explanation:

Answer:

500mph

Step-by-step explanation:

5784.4 miles --> estimates to 6000 miles

6000/12=500

500mph

Answer:

$482.50

Step-by-step explanation:

Base salary: $400

5% of 1,650 is 82.50

.05 x 1,650 = 82.50

Commission : $82.50

Equation: 400 + 82.50 = $482.50

Answer:

slope is -55 balance decreases by $55 each month

Step-by-step explanation:

solve for slope using slope formula:

(620-895)/(6-1) = -275/5 = -55

decreases by $55 since that's the slope

Answer:

4/9 ..................

Answer:

(-6,-4)

Step-by-step explanation:

to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2

Answer:

24a

Step-by-step explanation:

Answer:

Step-by-step explanation:

21) CD -  chord   (segment)

22)FG - line

23) EC  - segment -  diameter

24) AB - segment - radius

25) H - Point

26) A - Point

Answer:

the answer is x= -3

y = -14

Answer:

A

Step-by-step explanation:.................