what if 1/3 years = -------- month

Answer:

Yes, Elias got his food before reaching the potluck.

Step-by-step explanation:

Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?

Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)

When the two meet, it means that the distance is equal. Remember, distance = time * speed.

Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.

We can write this equation for the distance Elias traveled.

0.25 * 12 + 12 * x

And this equation for the distance his parent traveled.

30 * x

These equations need to be equal so that the two meet.

0.25 * 12 + 12 * x = 30 * x

Simplify.

3 + 12x = 30x

Subtract 12x from both sides.

3 = 18x

Divide both sides by 18.

x = 1/6

So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.

If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.

Plug 1/6 in for x.

0.25 * 12 + 12 * 1/6 =

3 + 2 = 5

Elias traveled 5 miles before his parent met him.

So, Elias did get his food before reaching Leaders.

Just in case, let's double-check this answer.

Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.

Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:

(1/6 + 1/4) * 12 =

(4/24 + 6/24) * 12 =

10/24 * 12 =

120/24 = 5 miles

Thus, the previous answer is right.

I hope this helps! Feel free to ask any questions!

Answer:

60

Step-by-step explanation:

(20x15)0.5

Answer:

it most likely would be 260 degrees

Answer:

59/5

Step-by-step explanation:

16 and 3/5 = 83/5

4 and 4/5 = 24/5

83/5 - 24/5 = 59/5

Answer:

c(t)=90+90×0,04t

c(t)=3,6t + 90

Answer:

A) 216in squared

Step-by-step explanation:

6 / 2 = 3

4 * 3 = 12

12 * 2 = 24

5 * 12 = 60

60 * 2 = 120

6 * 12 = 72

24 + 72 + 120 = 216in^2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i

From the question, we have the following parameters that can be used in our computation:

(i-3) +6i-3(8 - i)

Express properly

So, we have

(i - 3) + 6i - 3(8 - i)

When the brackets are opened, we have

(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i

Collect the like terms

So, we have

(i - 3) + 6i - 3(8 - i) = - 3  - 24 + i + 6i + 3i

Evaluate the like terms

So, we have

(i - 3) + 6i - 3(8 - i) = -27 + 10i

Hence, the complex expression when simplified is -27 + 10i

Read more about expression at

https://brainly.com/question/28792378

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Answer:

Normality assumptions are met.

The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.

Step-by-step explanation:

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

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Out of 1251 adult drivers, 641 of them have run at least one red light in the last month.

This means that [tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]

Normality assumptions:

We need that: [tex]n\pi[/tex] and [tex]n(1-\pi)[/tex] are 10 or greater. So

[tex]n\pi = 1251*0.5124 = 641[/tex]

[tex]n(1-\pi) = 1251*0.4876 = 610[/tex]

So the normality assumptions are met.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.4892[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.5356[/tex]

The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.

Answer:

∆EDA~∆ECB (AAA)

3÷ (15+3) = AB ÷ (12+AB)

AB = 2.4

Answer:

Store B

Step-by-step explanation:

Answer:

t = 35.13

Step-by-step explanation:

Simplifying

62.52 = 27.39 + t

Solving

62.52 = 27.39 + t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.

62.52 + -1t = 27.39 + t + -1t

Combine like terms: t + -1t = 0

62.52 + -1t = 27.39 + 0

62.52 + -1t = 27.39

Add '-62.52' to each side of the equation.

62.52 + -62.52 + -1t = 27.39 + -62.52

Combine like terms: 62.52 + -62.52 = 0.00

0.00 + -1t = 27.39 + -62.52

-1t = 27.39 + -62.52

Combine like terms: 27.39 + -62.52 = -35.13

-1t = -35.13

Divide each side by '-1'.

t = 35.13

Simplifying

t = 35.13

hope it helps !!!!!!!!!!!    :)

Answer:

a = 1.91

Step-by-step explanation:

12 = 2π(r)

12/2 = 2π(r)/2

dividing by 2

=

6 = π(r)

you then divide this by π, or 3.14

6/3.14 = π(r)/3.14

=

1.91

Answer:

1/2

Step-by-step explanation:

2*3=6

6/12=1/2

Answer:

[tex]\frac{1}{2}[/tex]--> 1/2

Step-by-step explanation:

3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2

Answer:

The washer costs 220 and the dryer costs 376! brainliest pls!

Step-by-step explanation:

Answer:

A two-sided alternative hypothesis would be more appropriate in this case

Step-by-step explanation:

A one-sided hypothesis is one that asserts that a given parameter is either smaller than the null hypothesis value or larger than the value presented by the null hypothesis.

However in a two sided hypothesis, the claim is made that a given parameter is not equal to the parameter given in the null hypothesis, such that the parameter can be either larger than than or lesser than the value of the null hypothesis and still satisfy the condition of the hypothesis

Therefore, given for that for there to be a conclusion, the test should be weather the number of people that think of an odd number are equal to the number of people that think of an even number, or weather the number of people that think of an odd number are not equal to the number of people that think of an even number

Therefore, a two-sided hypothesis should be used since the claim (that the numbers are not equal) is not equal to the value of the parameter in the null hypothesis (that the numbers are equal)

the angle of the tower would be the coifficent

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Answer:

2 and 6

Step-by-step explanation:

Answer:

x = 2 ± √34/5

Step-by-step explanation:

Move terms to the left side.

5x^2 - 4x = 6

5x^2 - 4x -6 = 0

Identify a, b, and c before plugging them into the quadratic formula.

a = 5

b = -4

c = -6

x = -(-4) ± √(-4)^2 - 4 * 5(-6)/2 * 5

Then simplify.

Answer:

110

Step-by-step explanation:

Answer:

A cube, rectangular prism, sphere, cone and cylinder are the basic 3-dimensional shapes we see around us.

Answer:

c

a

Step-by-step explanation:

Answer: d

≤

3

Step-by-step explanation: that’s the answer buddy

Answer: X is less than or equal to 3.

I am 100% sure it's right.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Plug all of the numbers in and they all work with the problem.

Answer:

I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry

Answer:

[tex]6\frac{7}{10}x + 9[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]

[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]

[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]

Step 2:  Combine Like Terms

[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]

[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]

[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]

[tex]9+\frac{67}{10}x[/tex]

[tex]6\frac{7}{10}x + 9[/tex]

Answer:  [tex]6\frac{7}{10}x + 9[/tex]

Please let me know if you need to make it more clear!  :)

Answer:

Step-by-step explanation:

From the first image attached below, we will see the sketch of the curve x = y² & x = 2y

In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:

[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]

Thus, the shaded region fall within the interval 0 ≤ y ≤ 2

Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.

For the cross-sectional area of the washer:

[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]

Finally, the volume of (solid) is:

[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]