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3 years ago

Kaley cuts half of a loaf of bread into 4 equal parts. What fraction of the whole loaf does each of the 4 parts represent?

Mathematics

2 answers:

morpeh [17]3 years ago

6 0

Answer:

The answer is 1/4

Step-by-step explanation:

When you split something into fourths, you each get 1/4 of it.

Makovka662 [10]3 years ago

4 0

For this case we have that the bread stick represents 1 unit.

Then half of a loaf of bread will be given by:

$\frac {1} {2}$

If that half is cut into 4 equal parts we have:

$\frac {\frac {1} {2}} {4} = \frac {1} {8}$

Thus, each part represents $\frac {1} {8}$ of the whole bread

Answer:

$\frac {1} {8}$

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2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same

vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = $\frac{1}{x}$

Another tap A when turned on, it takes time to fill the pool = x-5 hours

So in one hour part of the same pool filled = $\frac{1}{x-5}$

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

Part of the pool filled in one hour by both the taps = $\frac{1}{3}$

Now we form an equation

Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on

$\frac{1}{(x-5)}+\frac{1}{x}=\frac{1}{3}$

$\frac{x-5+1}{x(x-5)}=\frac{1}{3}$

$\frac{x-4}{x(x-5)}=\frac{1}{3}$

3(x - 4) = x(x - 5)

x² -5x = 3x - 12

x² - 8x + 12 = 0

x² - 6x - 2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

(x -2)(x - 6) = 0

x = 2, 6 hours

We will take higher value of x as x = 6 hours for tap B.

Time taken by tap A = 6 - 4 = 2 hours.

Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

4 0

3 years ago

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each ac

kherson [118]

Answer:

2 % amount = 12000 7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

then 13 000 - x = 7% amount

.02x + .07 (13000-x) = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000 then the 7% amount is 1000

4 0

2 years ago

Plz help asap !! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip

torisob [31]

Answer:

y = 2x - 200

Step-by-step explanation:

The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:

y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.

6 0

3 years ago

Read 2 more answers

X^3 ÷ x^5<br> a)x^8<br> b)x^2<br> c)x^-8<br> d)x^-2

tatiyna

Answer:

D....................

Step-by-step explanation:

7 0

3 years ago

Exercise 6.13 presents the results of a poll evaluating support for the health care public option in 2009, reporting that 52% of

sleet_krkn [62]

Answer:

A sample size of 6755 or higher would be appropriate.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.