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Greeley [361]
3 years ago
5

Mrs. onusko made 60 cookies for a bake sale she sold 2/3 and gave 3/4 of the remaining cookies to the students working at the sa

le how many cookies did she have left
Mathematics
2 answers:
Ber [7]3 years ago
5 0
She had 5 cookies left. 
2/3 of 60 is 40 that she sold leaving 20, she then gave away 3/4 of them
3/4 of 20 is 15, that she gave away so she has 5 left
andreev551 [17]3 years ago
5 0

There are 5 cookies left.

<h3>Further Explanation</h3>

<u>Given:</u>

  • Mrs. Onusko made 60 cookies
  • She sold \frac{2}{3} of the cookies
  • She gave \frac{3}{4} of the remaining to the students

<u>Question:</u>

How many cookies did she have left?

Based on the information above, first we are going to calculate the number of cookies that were sold:

\boxed {\frac{2}{3}  \times60 = \frac{120}{30} =  40 cookies}

so the remaining cookies would be:

= total cookies made - total cookies sold = 60-40 = 20 cookies

Mrs. Onusko gave \frac{3}{4} of the remaining cookies to the students:

\boxed {\frac{3}{4} \times20 = 15 cookies }

so, now the number of cookies left:

\boxed {20-15 = 5 cookies }

<h3>Learn more</h3>

Additional fraction brainly.com/question/1123562

Fraction additional brainly.com/question/11894522

Mixed fraction (part to whole relationship) brainly.com/question/2954545

<h3 />

Keywords: fraction, subtraction, part to whole relationship, additional fraction

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lys-0071 [83]

Answer:

-30

Step-by-step explanation:

\frac{N}{-3} -2 =8 ( Add 2 on both sides)

\frac{N}{-3} = 10 ( Multiply by -3 on both sides)

N = -30

<u>Verify:</u>

<u />\frac{-30}{-3} =10 (Correct<u>)</u>

7 0
3 years ago
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Either use technology to find the P-value or use
Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

The statistic is given by: t = -0.024

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

7 0
4 years ago
Simplify<br>1)5x+3=x+13<br>2)5/2x-1/X =1/6​
Artyom0805 [142]

Step-by-step explanation (Question 1):        

<u>Step 1: (Question 1): Subtract x from both sides.</u>

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

<u>Step 2: (Question 1): Subtract 3 from both sides.</u>

4x+3−3=13−3

4x=10

<u>Step 3: (Question 1): Divide both sides by 4.</u>

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

<u>Step 1: (Question 2): Multiply by LCM</u>

15x^2 - 6 = x

<u>Step 2: (Question 2): Solve 15x^2</u>

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x = -3/5

<u>Step 3: (Question 2): Solve</u>

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=−0.6

 

Hope this helps.

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Answer:

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