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.

Let the small , medium and large baskets be denoted by s,m & l

Formulating the equations

s+m+l= 80--------- equation1

$15.75s+ $25 m + $32.5l = $2086.25------equation2

2s=l---------equation 3

Using the technology  s=15, m=35 and l= 30

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

2(15)=(30)---------equation 3

Yes because multiple variables can be easily calculated through matrices using technology

In Matrix form

[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]     = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]

Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]    

B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Z= A⁻¹ B

A⁻¹= A mod/ det A

det A= -1

Using the technology  s=15, m=35 and l= 30

15 small baskets,

35 medium baskets

30 large baskets were sold.

Part C:

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

236.25+ 875+ 975=$2086.25

$2086.25=$2086.25

2(15)=(30)---------equation 3

Answer 2:

Yes because multiple variables can be easily calculated using technology.

N.B There is a typing error in question its $2086.25 not 52086.25

In the figure below, line / line m. If the measure of Z1 =125° and the measure of <=50', then what is the measure of
25 ?
5
34
m
05
O 75
O 55
O 105

d. 3h =
h = 3.66 hours
2. Jane can run 2 miles per hour around the Belmont Track. He
needs to run a total of 10 miles and has already done 3
miles. Which equation and answer shows the number of
hours (h) it will take for him to run the rest of the miles?
e. 2h + 3 = 10; h = 3.5 hours
f. 3h + 2 = 10; h = 2.66 hours
g. 2h = 10 ; h = 5 hours
h. 3h = 10 ; h = 3.33 hours
(hp

Acellus
Complete the data table for the function
f(x) = (x + 2 - 6.
X
-2
-1
2
Y
[?]
Enter

10) Joe's farm has 2 pumpkin fields with a total area of 5 3/4 , acres. The big field
yields 2 1/3 Tons of pumpkins and the small field yields 1 2/5 Tons of pumpkins
a) what is the total yield of both fields?
b) what is the total yield per acre for both fields combined?

help me please I need help to my question
[tex] \sqrt{50} + \sqrt[]{18} - 8 \sqrt[]{2} [/tex]
​

Markus has 4 white hats and 5 black hats in his closet. If he
randomly takes 1 of these 9 hats from his closet, what is the
probability that the hat that Markus takes is black?

If x=1/8 what is the value of y when 2/x = y/4

please help me for my homework​

hey please help i’ll give brain

plz answer this question for me

Solve for x. Show all your work to receive full credit.

How much time has passed from the first clock to the second clock?
The time passed is less than 12 hours. 4:20 and 8:55

A polynomial function h(x) has a zero of x = 2 + 7i with a multiplicity of one. Certain values of h(x) are given in the following table. x h(x) –5 0 –2 3 –1 –1 1 2 4 0 7 6 10 0 If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)? 3

what is ordered pair​

PSSSSS HELPPPP MEEEE

Consider the graphs of f (x) = l x l + 1 and g (x) = 1/x^3. The composite functions f(g(x)) and g(f(x)) are not commutative, based on which observation?

please help it is midpoint

Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

You are given line AB and point C. Construct a line parallel to line AB that passes through point C.

Student A Steps:
1. Draw a line that intersects points B and C.
2. Draw a line through point C and point G.
3. Keep the compass at the same width, and place it on point C.
4. Keeping the compass at the same width, place it on point F.
5. Mark the intersection of the two arcs as point G.
6. Open the compass to the width between points D and E.
7. Place the compass on point B, and swing an arc that crosses line AB and line BC.
8. Label the points D and E.
9. Swing an arc that crosses line BC, and label the point F.
10. Swing an arc that intersects the arc created from line BC at point C.

Student B Steps:
1. Draw a line that intersects points B and C.
2. Place the compass on point B, and swing an arc that crosses line AB and line BC.
3. Label the points D and E.
4. Keep the compass at the same width, and place it on point C.
5. Swing an arc that crosses line BC, and label the point F.
6. Open the compass to the width between points D and E.
7. Keeping the compass at the same width, place it on point F.
8. Swing an arc that intersects the arc created from line BC at point C.
9. Mark the intersection of the two arcs as point G.
10. Draw a line through point C and point G.

midpoint (10,5), endpoint (4, - 1)

A receptionist named Tanner spends 3 minutes routing each incoming phone call. In all,
how many phone calls does Tanner have to route to spend a total of 21 minutes on the
phone?

Work out 3% of 860kg

need this asap!!!

30 Oreo cookies for $2.99
Unit rate

simplify 6a+4b+8+3b-4a+9

find the radius of a circle that has an area of 803.84 cm squared

Given f(x)=9x^2 find f(-3)

can anyone solve this please it's an urgent ​

There is a plant whose growth can be represented by a linear function. At 1 week it is
2 inches tall and at 2 weeks it is 4 inches tall. Write a linear equation to represent the
growth of the plant.
O y = 2x + 2
O y = 2x
O y = 4x + 2

if two rectangles have the same perimeter, do they have to be congruent??​

The Sierpinski triangle (pictured below) is a fractal image. The original figure is an equilateral triangle. In each step, the computer splits every triangle in the design into 444 congruent equilateral triangles, and removes the center one from the design. The area remaining in a particular design after nnn steps can be shown using the following expression:
\qquad\dfrac{25\sqrt{3}}{2}\cdot\left(\dfrac{3}{4}\right)^n
2
25
3
​

​
⋅(
4
3
​
)
n
start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction, dot, left parenthesis, start fraction, 3, divided by, 4, end fraction, right parenthesis, start superscript, n, end superscript
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations.
The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations. The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
What does \dfrac{25\sqrt{3}}{2}
2
25
3
​

​
start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction signify in the expression?

A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing speed?