All categories

1 year ago

The total number of reds, yellows, and

Mathematics

1 answer:

Alexeev081 [22]1 year ago

3 0

Using the total weight the number of red, green and yellow colour are 2, 4 and 3 respectively.

<h3>How to find each colour using total weight?</h3>

The total number of reds, yellows, and greens on a scale is 9.

The reds weighed 3 pounds each, the yellows weighed 6 pounds each, and the greens weighed 5 pounds each. The total weight is 44

pounds. There are 2 more greens than reds.

Therefore,

let

x = number of reds

number of greens = x + 2

y = number of yellow

Therefore,

x + x + 2 + y = 9

2x + y = 7

3x + 6y + 5(x + 2) = 44

3x + 6y + 5x + 10 = 44

8x + 6y = 34

Hence,

2x + y = 7

8x + 6y = 34

8x + 4y = 28

8x + 6y = 34

2y = 6

y = 6 / 2

y = 3

2x + 3 = 7

2x = 7 - 3

2x = 4

x = 4 / 2

x = 2

Therefore,

the number red colour = 2

the number of green colour = 2 + 2 = 4

the number of yellow colour = 3

learn more on total weight here: brainly.com/question/4310004

#SPJ1

You might be interested in

No links or i'll report

fiasKO [112]

Answer:

Step-by-step explanation:

you need to ask as many people as possible you cant just choose one grade. you need to sample multiple grades

3 0

2 years ago

Of 800 cars that drove on a street during a week, 0.75% exceeded the 25 miles per hour speed limit by more than 10 miles per hou

Murljashka [212]

.0075 * 800 = 6 cars

5 0

3 years ago

Read 2 more answers

To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0

5 months ago

What is the value of s in the equation 3r=10+5s when r=10

tatyana61 [14]

3*10 = 10+5*s
30 = 10+5s
20 = 5s
s = 4

5 0

2 years ago

Read 2 more answers

S(t) = -120t + 1,080 to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will

tester [92]

In order for S(t) to equal to 0, it would take 9 years. If you multiply 9 times the -120, you will get -1080, then you add that to the +1,080 and the answer is 0.

4 0

2 years ago