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Kamila [148]
2 years ago
5

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

ected during the two days.
{
12x + 4y = 152
32x + 12y = 420
12x + 4y = 15232x + 12y = 420


In the equations,
x
x
represents the cost of a chicken lunch and
y
y
represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?
Mathematics
1 answer:
Likurg_2 [28]2 years ago
5 0
It will be a kid getting hit in the leg by the kids in the lunch table so it will be 4
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James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, wha
SIZIF [17.4K]

Answer:

16%

Step-by-step explanation:

To find the percent, add the total for each meal to find the total dollars spent.

23.59 + 40.65 + 30.50 + 15.68 = 110.42

Divide the tip amount 17.67 by 110.42.

17.67/110.42 = 0.16

Multiply the decimal by 100 to convert to a percent.

0.16*100 = 16%

6 0
2 years ago
Let T W Rn ! Rm be a linear transformation. Show that if T maps two linearly independent vectors onto a linearly dependent set,
Mandarinka [93]

Answer:

The solution proves that the equation has a non-trivial solution.  

Step-by-step explanation:

We want to show that the equation has nontrivial solutions for which c_{1} T(v_{1} ) + c_{2} T(v_{2} ) + c_{3} T(v_{3}) = 0

Let c_{i} be a set of non-zero numbers such that that c_{1} v_{1}  + c_{2} v_{2} + c_{3} v_{3}  = 0

Because T is a linear solution:

c_{1}T(v_{1} ) + c_{2} T (v_{2} ) + c_{3} T (v_{3} ) = T (c_{1} v_{1} ) + T(c_{2}v_{2} ) + T(c_{3} v_{3} )

                                            = T(c_{1}v_{1}  + c_{2} v_{2}  + c_{3} v_{3} )

                                            = T(0)

                                            = T (00)

                                            = 0T(0)

                                            = 0

This shows that T( v_{1} ) are linearly independent with the mapping resulting in a non-trivial solution.

6 0
1 year ago
Jennifer deposited $1750 in a savings account that earns 1.9% simple interest. How much interest has Jennifer earned at the end
myrzilka [38]
<span>$1750 * 0.019 = $33.25

interest earned first year was $33.25

answer is </span><span>B: $33.25</span>
7 0
1 year ago
Read 2 more answers
Jack's father drives to work in 30 minutes when driving at his usual speed. When traffic is bad, he drives 30 miles per hour slo
weqwewe [10]

Answer:

22.5 miles

Step-by-step explanation:

No traffic :

Let speed = x

Time taken = 30 = 30/60 = 0.5 hour

Speed = distance / time

Distance = d

x = d / 0.5 - - - (1)

With traffic :

Speed = x - 30

Time taken = 1 hour 30 minutes = 1.5 hour

x - 30 = d / 1.5

x = d/1.5 + 30 - - - - (2)

Equating (1) and (2)

d / 0.5 = d/1.5 + 30

d /0.5 - d /1.5 = 30

(1.5d - 0.5d) / 0.75 = 30

1.5d - 0.5d = 22.5

1d = 22.5

Hence,

d = 22.5 miles

6 0
1 year ago
A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
2 years ago
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