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3 years ago

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A recipe 2 1/2 of flour of each cake. Jenna 22 1/2 of flour. What is the maximum number of cakes Jenna can make with that amount

of flour

2 answers:

Lana71 [14]3 years ago

7 0

Answer:

9 lol

Step-by-step explanation:

jeyben [28]3 years ago

4 0

Answer:

9

Step-by-step explanation:

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I NEED THE ANSWER RIGHT NOW PLEASE!!!

strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4) Showing how to expand

= 5/3x + 35 - 3/2x + 12 Simplified above step by multiplying

= 5/3x - 3/2x + 47 Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47 Change fractions to the common denominator 6

= $\frac{10-9}{6}x$ + 47 Combine fractions with common denominator

= 1/6x + 47 Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

$\frac{5}{3}x = 1\frac{2}{3}x$ On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

$\frac{3}{2}x = 1\frac{1}{2}x$ On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.

6 0

3 years ago

Read 2 more answers

Change mixed fraction to improper fraction.

Andreas93 [3]

Answer:

2 3/4 = 11 /4

8 2/3 = 26/3

2 1/2 = 5/2

7 0

2 years ago

Read 2 more answers

15 POINTS!!!!!!! What is the equation of the line in slope-intercept form? Line on a coordinate plane. Line runs through points

suter [353]

Answer:

$y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

Step-by-step explanation:

Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.

First ordered pair: (-3,0)

Second ordered pair: (0,4)

We have two points and need to find equation of line in slope intercept form

$\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Slope (m)}=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}$

y-intercept, when x=0 , (0,4)

Equation of line in slope intercept form:

y=mx+b

where, $m=\frac{4}{3}$ and b=4

Required equation:

$y=\frac{4}{3}x+4$

Thus, $y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

3 0

2 years ago

Read 2 more answers

A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w

sergejj [24]

Answer:

a) $a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

b) $P(X \geq 3) = 1-P(X$

c) $P(\bar X \geq 225)=1- P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the cuts of a population, and for this case we know the distribution for X is given by:

$X \sim N(225,16.5)$

Where $\mu=225$ and $\sigma=16.5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674=\frac{a-225}{16.5}$

And if we solve for a we got

$a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

$X\sim Bin(n=10, p=0.25)$

And we want this probability:

$P(X \geq 3) = 1-P(X$

We can find the individual probabilities like this:

$P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563$

$P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877$

$P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816$

$P(X \geq 3) = 1-P(X$

Part c

For this case we know that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want this probability:

$P(\bar X \geq 225)$

And for this case we can use the complement rule and the z score given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$P(\bar X \geq 225)=1- P(\bar X$

4 0

3 years ago

fiona is heating water for a science experiment.the temperature of the water increases 4/5 of a degree every 2/5 of a minute.how

Scilla [17]

Answer:

4/5:2/5 = ratio of degrees to time

2/5*2.5 = 1 min

4/5*2.5 = 10/5 = 2

2 degrees every min

Step-by-step explanation:

3 0

2 years ago