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miv72 [106K]
2 years ago
14

Mrs. Kong uses 1 over 3 of a stick of butter in a sauce she then uses 5 over 8 of the butter to make garlic bread what fraction

of the stick of butter is left?
Mathematics
1 answer:
Allisa [31]2 years ago
8 0
Answer=1/24

1/3+5/8=
to solve for this, we need the denominators of the fractions to match.

The LCM of 3 and 8 is 24

1/3=8/24
5/8=15/24

8/24+15/24=23/24

Now if we're using 23/24, then only 1/24 is left.

24/24-23/24=1/24
You might be interested in
Workers have packed 1,400 glasses in 7 boxes. If they pack 3 more boxes, how many glasses will they have packed in all?
Alexandra [31]
2000


1box = 1400/7 = 200
200×3=600
1400+600=2000


Step-by-step explanation:
Given :Workers have packed 1,400 glasses in 7 boxes.
To Find :If they pack 3 more boxes, how many glasses will they have packed in all?
Solution:
Workers packed no. of glasses in 7 boxes = 1400
Workers packed no. of glasses in 1 box =
Workers packed no. of glasses in 3 boxes =
                                                                      =
So, initially they packed 1400 glasses
If they pack 3 more boxes so, the pack 600 glasses more
So, The total no. of glasses have packed by workers = 1400+600 = 2000
Hence they have packed 2000 glasses in all.
5 0
2 years ago
The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n
wariber [46]

Answer:

<em>Mean of the sample = 27.83</em>

<em> The variance of the the sample = 106.96</em>

<em> </em><em>Standard deviation of the sample = 10.34</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given random sample of six employees

x     26    32    29    16     45    19

mean of the sample

x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83

Mean of the given data = 27.83

<u>Step(ii):-</u>

<u>Given data</u>

x           :       26         32           29           16           45        19

x - x⁻     :      -1.83      4.17        1.17       -11.83     17.17    -8.83

(x - x⁻)²  :    3.3489   17.3889   1.3689   139.9489  294.80 77.9689

∑ (x-x⁻)²  =   534.8245

Given sample size 'n' =6

The variance of given data

           S²  = ∑(x-x⁻)² / n-1  

           S^{2}  = \frac{534.8245}{6-1} = 106.9649

The variance of the given sample = 106.9649

<u> Step(iii):-</u>

Standard deviation of the given data

S = \sqrt{variance} = \sqrt{106.9649} =10.3423

Standard deviation of the sample = 10.3423

8 0
2 years ago
El producto de dos números consecutivos es 552 cuáles son esos números?
lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

7 0
1 year ago
The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social me
Rashid [163]

Answer: The proportion of students spending at least 2 hours on social media equals 0.7257 .

Step-by-step explanation:

Given : The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social media.

The distribution of time on social media is known to be Normal.

Let x be the number of minutes spent on social media.

Then, the probability that students spending at least 2 hours (2 hours = 120 minutes as 1 hour = 60 minutes) on social media would be:

P(x\geq120)=1-P(x

Hence, the proportion of students spending at least 2 hours on social media equals 0.7257 .

4 0
2 years ago
5. You deposit $300 in an account Urat pays 1.48% annual interest. What is the balance after 1 year if the
kirill [66]

Answer:

The correct option is (A) $304.47.

Step-by-step explanation:

The formula to compute the future value (<em>FV</em>) of an amount (A), compounded daily at an interest rate of <em>r</em>%, for a period of <em>n</em> years is:

FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

The information provided is:

A = $300

r% = 1.48%

n = 1 year

Compute the future value as follows:

FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

      =300\times [1+\frac{0.0148}{365}]^{365}\\\\=300\times (1.00004055)^{365}\\\\=300\times 1.014911\\\\=304.4733\\\\\approx \$304.47

Thus, the balance after 1 year is $304.47.

The correct option is (A).

8 0
1 year ago
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