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expeople1 [14]
2 years ago
5

It takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies

Mathematics
1 answer:
wariber [46]2 years ago
4 0

keeping in mind that two dozen cookies is just 24 cookies, then

\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x

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Solve for x.
olga nikolaevna [1]

Answer:

\boxed{x=5},x=-9

Step-by-step explanation:

To rid the denominators, multiply both sides by (x-3)(x+1).

We get:

6(x+1)-12(x-3)=(x-3)(x+1)

Simplifying, we have:

6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0

Solving, we get:

x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9

Therefore, the solution with the greatest value is x=\boxed{5}

8 0
3 years ago
Ok i need yall help please <br> 15=x+23-2x
Elena L [17]
X = 8 and yeah that’s all

4 0
3 years ago
Which is equivalent to 21.76 grams per minute?
Tomtit [17]
1.3056 kg/hour

sorry i took so long
6 0
3 years ago
What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th
katrin2010 [14]

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

5 0
3 years ago
Two linear functions are shown. Which function has the greater initial​ value?
tangare [24]

Answer:

Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

Step-by-step explanation:

✔️Function A:

Initial value = y-intercept (b)

y-intercept is the value of y, when the corresponding value of x = 0

From the table, y = 6 when x = 0.

The y-intercept of function A = 6

Therefore, initial value for Function A = 6

✔️Function B:

y = 4x + 3 is given in the slope-intercept form, y = mx + b.

b = y-intercept = initial value.

Therefore

Initial value for Function B = 3

✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

4 0
3 years ago
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