1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.

Answer:

Solution given

-2u+(-1)=-13

open bracket

-2u-1=-13

add 1 on both side

-2u-1+1=-13+1

-2u=-12

divide both side by -2

-2u/-2=-12/-2

u=6

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{-2u + (-1) = -13}\\\textsf{-2u - 1 = -13}\\\large\text{ADD 1 to BOTH SIDES}\\\textsf{-2u - 1 + 1 = -13 + 1}\\\large\text{CANCEL out: -1 + 1}\\\large\text{KEEP: -13 + 1}\\\rightarrow\textsf{-2u = -12}\\\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2u}{-2}= \dfrac{-12}{-2}}\\\textsf{CANCEL out: }\mathsf{\dfrac{-2}{-2}}\\\textsf{KEEP: }\mathsf{\dfrac{-12}{-2}}\\\mathsf{u = \dfrac{-12}{-2}}\\\mathsf{u = \bf 6}\\\huge\boxed{\mathsf{Answer: u = 6}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]

Explanation:

Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.

There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.

Answer:

$163.8 more.

Step-by-step explanation:

Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.

Answer:

Step-by-step explanation:

[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]

Answer:

D) 8x - 1

Step-by-step explanation:

Let's say that x = 5.  That would mean Amelia put 15(5) - 4 gallons of gas in her car, which equals 71 gallons.  She used 7(5) - 3 gallons driving to work, which is 32 gallons used.  71 - 32 = 39 gallons left.  

What else equals 39, you might ask?

8(5) - 1

40 - 1

39.

Answer:

D is the answer

Step-by-step explanation:

The third answer

1 quarter, 6 dimes, 1 nickel, 7 pennies

Answer:

It's a statistical question.

and there between 250-300 feet.

Answer:

Step-by-step explanation:

200=2w²h

The equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

We have a prism and the formula to calculate its volume is given.

We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.

A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.

According to the question, we have -

Volume of Prism = 200 cubic centimeter

L = 2w

The formula to calculate the volume of prism equals to -

V = Lwh

Substituting values, we get -

200 = 2[tex]w^{2}[/tex]h

or

2w x w x h = 200

Hence, the equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

To solve more questions on prism, visit the link below-

https://brainly.com/question/17619973

#SPJ2

Answer:

41 cars and 86 trucks

Step-by-step explanation:

C+T=127

2C+4=T

C+(2C+4)=127

3C+4=127

3C=123

C=41When C=41,

41+T=127

T=127-41

T=86

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

Answer:

-49

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

f(x) = x -4

Step 1:

y = x - 4

Step 2: Replace y with x

x = y - 4

Step 3: Find y

x + 4 = y  

f(-x) = x + 4

f(x) + f(-x) = (x - 4)+ (x + 4) = 2x

Answer:

plz mark me brainliest

Step-by-step explanation:

thanks for question

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents

Answer:

12

Step-by-step explanation:

[tex]4 \sqrt{9} [/tex]

[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]

[tex]4 \times 3[/tex]

[tex] = 12[/tex]

Answer:

985

Step-by-step explanation:

The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.

Answer:

29.51%

Step-by-step explanation:

The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.

Answer:

a)2,3,4,5,6

b)-3,-1,1,3,5

Step-by-step explanation:

a) y(-2)=-2+4=2

  y(-1)=-1+4=3

   y(0)=0+4=4

  y(1)=1+4=5

  y(2)=2+4=6

b)y=2x+1

 y(-2)=2*(-2)+1=-3

 y(-1)=2*(-1)+1=-1

 y(0)=2*0+1=1

 y(1)=2*1+1=3

 y(2)=2*2+1=5

Answer:

200 each.

Step-by-step explanation:

400 divided by 2 is 200

Answer:

(new-old)/old * 100%

130.7-124/124 = .054 = 5.4%

Step-by-step explanation:

Answer:

∠ ABC = 48°

Step-by-step explanation:

∠ ABC + ∠ DBC = ∠ ABD , that is

6x - 6 + 3x + 8 =  83

9x + 2 = 83 ( subtract 2 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°

Answer:

It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.

In reality it would be 10.

You have to choose.  What has been done with other questions like this.

Step-by-step explanation:

1 can covers 55 square feet.

h = 10

w1 = 10 feet

w2 = 10 feet

w3 = 15 feet

w4 = 15 feet

Total area = Area of wall 1 + wall 2 + wall 3 + wall 4

Total area = 10*10 + 10*10 + 10*15 + 10* 15

Total area = 100  + 100 + 150 + 150

Total area = 500  feet^2

1 gallon / 55 ft^2 = x / 500 ft^2          Cross multiply

55 * x = 500                                       Divide by 55

x = 500/55

x = 9.1 gallons.

In real life you would buy another gallon.

Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

Therefore, elevator started from 14th level.  

Answer:

0>k

Step-by-step explanation:

0<4k-5k

Combine like terms

0<-k

Multiply each side by -1, remembering to flip the inequality

0>k

3/8 is smaller than 3/5.

3/8 is smaller than 3/5

Find the LCD of both fractions:

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, …

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, …

40 is the LCD of denominators 5 and 8.

Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:

3/8:

3 x 5 = 15

8 x 5 = 40

15/40

3/5:

3 x 8 = 24

5 x 8 = 40

24/40

15/40 < 24/40

Hope this helps