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TiliK225 [7]
2 years ago
5

Riley and Jace work at a dry cleaners ironing shirts. Riley can iron 25 shirts per hour, and Jace can iron 30 shirts per hour. R

iley worked 3 more hours than Jace and they ironed 460 shirts between them. Write a system of equations that could be used to determine the number of hours Riley worked and the number of hours Jace worked. Define the variables that you use to write the system.
Mathematics
1 answer:
oee [108]2 years ago
5 0

Answer:

  • 25r +30j = 460
  • r - j = 3

Step-by-step explanation:

Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...

  25r +30j = 460

  r - j = 3

__

The solution is (r, j) = (10, 7).

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Leokris [45]

Where does that StartFraction ... mess come from? -- I've seen it in other questions.

x = \dfrac{- -10 \pm \sqrt{(-10)^2 - 4(7)(-2)}}{2(7)}

Comparing that to the general quadratic formula

x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}

we see b=-10 (agreeing in both places) a=7 (two places), c=-2

Answer: 7x² - 10x - 2 = 0

5 0
2 years ago
Read 2 more answers
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made
il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

Amount = 2900\times (1 + 0.0275 )^{2\times 1}

Amount = 2900\times (1.0275)^{2}

Amount = 2900\times 1.056\ (Approx)

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

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8 0
2 years ago
8.1.3 A random sample has been taken from a normal distribution and the following confidence intervals constructed using the sam
crimeas [40]

Answer:

a) The value of the sample mean is 50

b) (38.02, 61.98) is the 95% as it covers more values than the other.

Step-by-step explanation:

a) Upper and lower values for the confidence intervals are at the same distance from the mean, as they represent an upper and lower limit for the value, and the most probable value is the one in the middle, which, in a normal distribution is the mean.

As they derive from the same data, both pairs of values should give us the same mean:

\mbox {mean}=\frac{\mbox{upper value+lower value}}{\mbox{2} }\\\mbox {mean from the first set}=\frac{38.02+61.98}{2}=50 \\\mbox {mean from the first set}=\frac{39.95+60.05}{2}=50

b) The percentage of the confidence interval tells us which is the area below the bell curve (of the normal distribution) between the limits given.

One could give a value with a 100% CI, but limits should be minus and plus infinity, and as the interval gets smaller, less values are covered (less area), and less certain we are about our value being inside the interval.

Then, we can say that the widest interval must be the 95% CI, i.e. (38.02, 61.98).

8 0
2 years ago
Isoke is solving the quadratic equation by completing the square.10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13What is the
Elina [12.6K]

we have

10x^{2} + 40x - 13 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

10x^{2} + 40x =13

Factor the leading coefficient

10(x^{2} + 4x) =13 ----------> the value of A is 10

Complete the square. Remember to balance the equation by adding the same constants to each side

10(x^{2} + 4x+4) =13+40

10(x^{2} + 4x+4) =53

Rewrite as perfect squares

10(x+2)^{2} =53

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therefore

the answer is

the value of A is 10

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Answer:

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