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ivann1987 [24]
2 years ago
15

One large jar and five small jars can hold 26 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the

given matrix equation to solve for the number of ounces of jam that each jar can hold. Explain the steps that you took to solve this problem.
A matrix with 2 rows and 2 columns, where row 1 is 1 and 5 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 26 and row 2 is 2.
Mathematics
1 answer:
Lesechka [4]2 years ago
4 0

Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable l: Weight that a large jar holds.
  • Variable s: Weight that a small jar holds.

One large jar and five small jars can hold 26 ounces of jam, hence:

l + 5s = 26, which is the first equation in matrix form.

Then:

l = 26 - 5s.

One large jar minus one small jar can hold 2 ounces of jam, hence:

l - s = 2, which is the second equation in matrix form:

Then:

l = 2 + s = 26 - 5s

2 + s = 26 - 5s

6s = 24

s = 4.

l = 26 - 5s = 6.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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Elena receives ​$131 per year in simple interest from three investments totaling ​$3000. Part is invested at​ 3%, part at​ 4% an
ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0
3 years ago
Need help solving for X
Stels [109]
I hope this helps you



x=108/6


x=18

4 0
3 years ago
Please help! ! Timed !******
lord [1]

Answer:

(fоg)(x) =  x

Step-by-step explanation:

f(x) = (x-1)/3

g(x)=3x+1

(fоg)(x) = f(g(x)) = ((3x+1)-1) / 3 = 3x / 3 = x

3 0
3 years ago
Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

5 0
3 years ago
Find the sum : <br> 3/8 + 22.5
rewona [7]

Answer:
183/8 or 22.875

Step-by-step explanation:

Take 22.5 and put it over 1 so 22.5/1

And then multiply by 8 to get a common denominator (180/8) then add the 3/8 and you get 183/8 or 22.875

4 0
2 years ago
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