A school counselor wanted to survey 50 seniors at her school to see what their intended major was for college. She found out that 20 chose business, 6 chose humanities, 16 chose science, and 8 chose other. Out of the 600 seniors at her school, what is a reasonable estimate of the number of seniors that will choose to major in business?

Answer:

Step-by-step explanation:

x=# of panels plant B produced

3x=# of panels plant A produced

2%(x)+5%(3x)=1360

0.02(x)+0.05(3x)=1360

0.02x+0.15x=1360

0.17x=1360

17x=136,000

x=136,000/17

x=8,000 panels were produced by plant B

Answer:

$45.5 or the price is  $115.50

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 70 = ? = 65/100 × 70 = ?

Therefore, the answer is 45.5

1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number \(ab\) such that

\(\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a\)

or

\(\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b\)

but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.

A 3-digit DDN \(abc\) is such that

\(\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a\)

or \(a+c=2b\) if the average is \(b\), or \(a+b=2c\) if the average is \(c\). The smallest possible value for \(a\) is 1 since we require 3 digits. Then \(b+c=2\), and we can pick \(b=0\) and \(c=2\) to get the smallest DDN, 102.

2. In a 4-digit DDN \(abcd\), we have

\(\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a\)

or \(a+c+d=3b\) or \(a+b+d=3c\) or \(a+b+c=3d\).

We're free to fix \(a=1\) and \(b=0\) to try to get the smallest DDN. This leaves us with \(c+d=3\) or \(c+d=-1\) or \(1+d=3c\) or \(c=3d\).

The first two cases are impossible - the only choices for \(c,d\) such that \(c+d=3\) are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of \(c\) is 2; this leaves us with \(1+d=6\) or \(2=3d\), but the latter case is impossible because 3 does not divide 2. So \(d=5\), and the smallest 4-digit DDN is 1025.

To find the largest DDN, start with the largest possible values for \(a\) and \(b\). Let \(a=9\) and \(b=8\). Then \(c+d=19\) or \(c+d=15\) or \(17+d=3c\) or \(17+c=3d\). At most, we can have \(c+d=13\) with 7 and 6, so the first two cases are impossible. If we maximize \(c=7\), then either \(17+d=21\implies d=4\) or \(24=3d\implies d=8\) (which we don't want). So the largest 3-digit DDN is 9874.

3. I don't have an analytical solution to this, but using brute force (program) the total count is 112.

4. It is possible; consider 1249 and 1250, with digital averages

\(\dfrac{1+2+4+9}4=4 \text{ and } \dfrac{1+2+5+0}4=2\)

which happens to be the smallest pair. (Also found with brute force.)

Answer:

Time = 1.27 x 10^1 minutes

Step-by-step explanation:

To calculate the approximate amount of time it takes for light to travel from the Sun to Mars, we can divide the distance between them by the speed of light.

Given:

Speed of light = 1.12 x 10^7 miles per minute

Distance between the Sun and Mars = 1.42 x 10^8 miles

Time = Distance / Speed

Time = (1.42 x 10^8 miles) / (1.12 x 10^7 miles per minute)

Time = (1.42 / 1.12) x 10^(8 - 7) minutes

Time = 1.27 x 10^1 minutes

Rounded to the nearest hundredth, the approximate amount of time for light to travel from the Sun to Mars is 12.70 minutes in scientific notation.

Answer:

if you have a demos or a school calculator you can put in “ graph and tables “ then you can out in the alone numbers 5,6,7,8 into the left side and on the top put X. Next to that X put Y and put -10 on each, then go to a purple one the answer should be x=2.8 etc. + another number. That should be your answer in X if thats is what its asking.

For the second one it should be the same except you will be using Y.

Answer:

325

Step-by-step explanation:

Answer:

2,925 divided by 9 is 325 and there is no remainder.  

Step-by-step explanation:

Answer:

I think c

Sory if it is wrong

Step-by-step explanation:

Answer: C

Step-by-step explanation:

rst is xy and yz

Answer:it is a scalene triangle

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

The required probability that William worked on last year was an anniversary party is 1/ 36.

As mentioned in the quesiton,
William is a very busy professional DJ. Last year, he worked at 10-anniversary parties and 26 other events.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 26 + 10 = 36
Number of favorable outcomes = 1
the probability that William worked on last year is was an anniversary party,
= Favorable outcome/sample space
= 1 / 36

Thus, the required probability that William worked last year is 1/ 36.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer;

I think you haven't inserted the actual question.

Otherwise it could be almost any number.

Step-by-step explanation:

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

Answer:

Yes you are right good Job

Step-by-step explanation:

For question 6 the answer is 91 just add the numbers

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

Answer:

124/67 and 1/3

Step-by-step explanation:

The second ratio is 1.5/4.5, which readily reduces to 1/3.

Dividing both numerator and denominator of 24.8 / 13.4 by 2 yields the simpler 12.4 / 6.7  or  124/67.  This latter result cannot be reduced.

Answer :

\(radius = 10\)

Answer:

b and j

Step-by-step explanation:

Answer:

A/m=-2. since x goes up by 2 on the table, y decreases by 4 on the table, but if the next part of x on the table was 6, then y would be -2.

Answer:

C.

Step-by-step explanation:

It is asking which choice shows that Kaia's mom will be having more than 1 boy in her set of triplets. As we know, M represents Male and F represents Female. So, now you need to look at your choices, or the results she can have at birth. The only one that shows more than one male is C: MFM, or two boys and a girl.

Hope this helps! :)

Answer: Hope this helps you!

A. |–4.8| > |2.5|

Step-by-step explanation:

When, you compare the distance between stuff, you always compare the absolute value of each thing. And even this equation does not ask for the distance between stuff, it still does require you to compare it with absolute value. The negative sign is only their because they are digging up the ground and not adding to the ground. However, when comparing it, we want to find what is deeper, so we use absolute value making it both positive to compare it fairly. However, if it asked which one was less deep you will use the negative signs. But based on this situation, you don't need to.

Answer: give the other person brainliest :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you do 876 divided by 24, you would get 36.5. Because the divisor is 24, and you got 36.5, that would mean in remainders, you would get 36 with a remainder of 12.

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Step-by-step explanation:

an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees

Answer:

108 units ².

Step-by-step explanation:

First find the area of the rectangle with dimensions 24 by 1. Then find the area of the rectangle with dimensions 25,24,7. use the formula ½bh=A and A= L×W

Answer:

Step-by-step explanation:

9x9

Answer:

(-1,0)

Step-by-step explanation:

May it will be correct

Answer:3
Explanation: For this question the answer sign will be positive so -12+15=15-12 which can be broken into 10-10=0 and 5-2=3 so the answer is 3