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Vadim26 [7]
3 years ago
11

9. The basketball team sold t-shirts and hats at a fundraiser. They sold a total of 23 items and made a

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

t-shirts = 8, hats= 15

Step-by-step explanation:

let the no of of t-shirt be x

and the no of hats be y

x+y= 23-----------1

8x+10y= 154---------2

solving equations 1 and 2 simultaneously we have

multiplying equation 1 by 8 and subtracting from 2 we have

8x+8y=184-------------4\\-8x+10y=154------------2  

=0x-2y=30

y=\frac{-30}{2} \\y=-15

y= 15

substituting y= 15 in equation 1 to find x we have

x+15=23\\x=23-15\\x= 8

x=8

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(3x²+3x+5)+(7x²-9x=8)=10x²-12x=13
Brilliant_brown [7]

The value of x is equal to -5/6

To solve this question, we have to add two polynomials together. The polynomials are;

  • 3x^2+3x+5
  • 7x^2-9x=8
<h3>Addition of Polynomials</h3>

This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.

In this given question, let's add the polynomials together.

(3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3

Now, let's equate this with the last polynomial given

10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10

Let's solve for x

12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}

The value of x is equal to -5/6

Learn more on addition of polynomials here;

brainly.com/question/4142886

8 0
2 years ago
Find the equation of this line.<br>HELP​
Mumz [18]

Answer:

Step-by-step explanation:

(5,4) ;  (-3, -2)

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-4}{-3-5}\\\\=\frac{-6}{-8}\\\\=\frac{3}{4}

(5,4) & m = (3/4)

y -y1 = m(x-x1)

y - 4 = (3/4)(x - 5)

y-4=\frac{3}{4}x-\frac{3}{4}*5\\\\y-4=\frac{3}{4}x-\frac{15}{4}\\\\y=\frac{3}{4}x-\frac{15}{4}+4\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{4*4}{1*4}\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{16}{4}\\\\y=\frac{3}{4}x+\frac{1}{4}

7 0
3 years ago
The low temperature was -1.8 yesterday and -2.1 today. Use the symbols do you show the relationship between the temperature
Sonbull [250]

Answer:

all you have to do is find your answer off of bainly

8 0
3 years ago
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

Period ,  t=5 years

C(t)=C(0)(1-r)^t

Substitute the values we get

C(5)=16000(1-0.045)^5

=16000(0.955)^5

=16000(0.7943)

∴ C(5)=12708.8

<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
3 0
3 years ago
Is this a right triangle??? Show work
podryga [215]

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

6 0
3 years ago
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