Help me with these math questions......

Answer:

150 feet

Step-by-step explanation:

in order to find the solution we have to take the L.C.M of 25 and 30

L.C.M of 25 and 30 is 150

so after 150 feet , they will both fall down

Answer: They will both fall down after 150 feet.

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple (LCM)

of 30 and 25:

To obtain the multiple of a number we have to multiply that number by another number (not zero) in the multiplication table order (by 1,by 2,by 3,etc)

30,60,90,120,150

25,50,75,100,125,150

The LCM is a number that appears on both lists, and is the smallest.

They will both fall down after 150 feet.

Feel free to ask for more if needed or if you did not understand something.

Answer:

[tex]12.5x-285[/tex].

Step-by-step explanation:

We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.

We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:

[tex]4.75\cdot (2x-60)=9.5x-285[/tex]  

To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.

[tex]\text{The total distance traveled}=3x+9.5x-285[/tex]

Upon combining like terms we will get,

[tex]\text{The total distance traveled}=(3+9.5)x-285[/tex]

[tex]\text{The total distance traveled}=12.5x-285[/tex]

Therefore, the total distance traveled in terms of x will be [tex]12.5x-285[/tex].

The total distance traveled in terms of x is the sum of the distances for each part of the trip: 3x miles for the first part and 9.5x - 285 miles for the second part, equating to a total distance of 12.5x - 285 miles.

To express the total distance traveled in terms of x, we need to use the distance formula d = vt, which states that distance (d) is equal to velocity (v) multiplied by time (t).

For the first part of the trip, the man drove at x miles per hour for 3 hours. Therefore, the distance for this part is:

d1 = x miles/hour * 3 hours = 3x miles

For the second part of the trip, he drove at (2x-60) miles per hour for 4.75 hours. So, the distance for this part is:

d2 = (2x-60 miles/hour) * 4.75 hours = 9.5x - 285 miles

To find the total distance traveled, we add the two distances together:

Total Distance = d1 + d2 = 3x miles + 9.5x - 285 miles = 12.5x - 285 miles

than anwser is 22% or 0.22

Answer:

m∡1 + m∡2 = 180

Step-by-step explanation:

m∡1 + m∡2 = 180

This is because supplementary means they add up to 180°.

Answer:

Number of metric tons of corn produced by country A = 373 million MT

Number of metric tons of corn produced by country B = 234 million MT

Number of metric tons of corn produced by country C = 57 million MT

Step-by-step explanation:

From the given information we have

A+B+C = 664 ____equation(1)

A = B+C+82 ____equation(2)

B = C + 177 ____equation(3)

1) Plugging in B=C+177 into equation 2, we get

A = B+C+82

=> A = (C+177) + C +82

=> A = C+177+C+82

=> A = C +C +177+82

=> A= 2C +  259 ____let it be equation (4)

2) Plugging in A=2C+259 from equation 4 and B=C+177 from equation 3 into the equation 1, we get

A+B+C = 664

=> (2C+259)+(C+177)+C = 664

=> 2C+C+C+259+177 = 664

=> 4C + 436 = 664

3) Subtracting 436 from both the sides, we have

4C + 436 - 436 = 664 - 436

4) Cancelling out +436 and -436 from the left side, we get

4C = 228

5) Dividing both the sides by 4, we get

[tex]\frac{4C}{4} = \frac{228}{4}[/tex]

6) Cancelling out the 4's from the left, we get

C = 57

7) Plugging in C=57 into the equation 3, we get

B = C + 177

=> B = 57+177

=> B = 234

8) Plugging in B=234 and C=57 into the equation 1, we get

A+B+C = 664

=> A+234+57=664

=> A + 291= 664

9) Subtracting 291 from both the sides, we get

A + 291 - 291 = 664 - 291

10) Cancelling out +291 and -291 from the left side, we get

A = 373

So, A = 373, B= 234, C=57

Answer:

D

Step-by-step explanation:

An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.

This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.

Answer D points to the right.

Answer:

The answer is D

Step-by-step explanation:

MrsStrong was correct!!!! Thank you

[tex]\begin{cases}4x+2\ge14\\-21x+1<22\end{cases}[/tex]

In the first inequality, we have

[tex]4x+2\ge14\implies4x\ge12\implies x\ge3[/tex]

In the second, we have

[tex]-21x+1<22\implies-21x<21\implies x>-1[/tex]

The solution to the system is the intersection of these two intervals, which would be [tex]x\ge3[/tex].

Answer:

The equation of the line would be y = -2x + 3

Step-by-step explanation:

In order to find the equation of the line, start by using point-slope form with the known information.

y - y1 = m(x -x1)

y - 1 = -2(x - 1)

Now that we have this, solve for y.

y - 1 = -2x + 2

y = -2x + 3

Answer:

1.  P ( tails) = 1/2

2.P (number greater than 4)   = 1/3

3.  P (2 die sum to 8) = 5/36

Step-by-step explanation:

A coin only has 2 possibilities, head or tails, and they are equally likely

So the probability of getting a tails is 1/2

P ( tails) = 1/2

A die has the numbers 1,2,3,4,5,6 .  There are 2 numbers greater than 4.  They are 5 and 6.  So there are 2 of the 6 choices that work.

P (number greater than 4)  = 2/6  = 1/3

See the dice chart

There are 36 possibilities when you roll the die.

There are 5 that sum to 8

P (2 die sum to 8) = 5/36

Answer:

Guy above is correct

Step-by-step explanation:

Answer:

y=-(3/4)x-5

Step-by-step explanation:

First we must write our equation in slope intercept form:

[tex]y=mx+b[/tex]

Where m is slope and b is the y-intercept.

[tex]4x-3y=12\\\\-3y=-4x+12\\\\y=\frac{4}{3}x-4[/tex]

Now we will find a line that is perpendicular to [tex]y=\frac{4}{3}x-4[/tex]

To do this we will get the negative inverse of our original slope which is 4/3 and the negative inverse is: [tex]-\frac{3}{4}[/tex].

Now we must determine our y-intercept for the perpendicular line by using the slope calculated above and plugging it in to the following equation:

[tex]y=m(x-x_1)+y_1[/tex]

Where m is the slope, x1 = -8 and y1=1 and so:

[tex]y=-\frac{3}{4}(x-(-8))+1\\\\y=-\frac{3}{4}x-\frac{24}{4}+1\\\\y=-\frac{3}{4}x-6+1\\\\y=-\frac{3}{4}x-5[/tex]

Answer:

10.82 is the answer

Step-by-step explanation:

Answer:

$33,476.00

Step-by-step explanation:

Just add them all together

Answer:

Total = 686000 meters for 10 weeks 7 days a week.

Step-by-step explanation:

Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7

a = 8000

n = 10

d = 400

Sum = (a + L)*n/2

Sum = (8000 + 11600)*10/2

Sum = 19600 * 10/2

Sum = 98000 meters.

This total represents 1 training day a week.

The total amount is 7 times this figure.

Total = 7 * 98000 = 686 000 meters.

Answer:

115+9=124 employees

Answer:

-15 is how many tests per hour i think, and 78 is how many tests total

Step-by-step explanation:

= 78 − 15ℎ

1 hour would be

78-(15x1)=63

2 hours would be

78-(15x2)=48

and so on.

Final answer:

The value 78 represents the initial number of tests Mrs. Hool has, while -15 represents the rate at which she grades tests per hour.

Explanation:

The values 78 and -15 in the equation represent the initial number of tests that Mrs. Hool has and the rate at which she grades the tests per hour, respectively.

The value 78 is the initial number of tests that Mrs. Hool has left to grade. This means that when she starts grading, she has 78 tests remaining.

The value -15 represents the rate at which Mrs. Hool grades the tests per hour. It indicates that for every hour she works on grading, she is able to complete 15 fewer tests than what she started with. In other words, the number of tests she has left decreases by 15 for every hour she works.

Answer:

n = 9 is the value in the replacement set is a solution to the equation [tex]3(n+7)=48[/tex]

Step-by-step explanation:

Given an equation: [tex]3(n+7)=48[/tex]                      .....[1]

Replacement set: {8, 9, 10}

For n = 8

Substitute in equation [1], we get;

[tex]3(8+7)=48[/tex]  

[tex]3(15)=48[/tex]

[tex]45=48[/tex]           False.

Similarly, For n = 9

Substitute in equation [1], we get;

[tex]3(9+7)=48[/tex]  

[tex]3(16)=48[/tex]

[tex]48=48[/tex]           True.

for n = 10

Substitute in equation [1], we get;

[tex]3(10+7)=48[/tex]  

[tex]3(17)=48[/tex]

[tex]51=48[/tex]           False.

Therefore, the value in the replacement set is a solution to this equation [tex]3(n+7)=48[/tex] is, 9

Answer:

9

Step-by-step explanation:

Answer:

HELLO :

f(4) = -1/2(4)+5 = -2+5=3

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer:

Adriano's this month earning is $1150

Step-by-step explanation:

Adriano's existing customers =200

Every customer Pays subscription fee = $5 per month

This month number of customers joined =40

And number of number of customers cancelled subscription =10

So this month addition of new customers = 40-10 =30

Therefore total numbers of subscribers =200+30 =230

And money earned this month = 230× $5

                                                   = $1150

Answer:

∠6 > ∠3 is TRUE.

Step-by-step explanation:

We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.

∠10 > ∠7

FALSE;

Because∠10 is acute while ∠7 is obtuse.

------------

∠6 > ∠3

TRUE;

Because∠3 is acute while ∠6 is obtuse.

------------

∠9 > ∠11

FALSE;

Because∠9 is acute while ∠11 is obtuse.

------------

∠8 > ∠11

FALSE;

Because∠8 is acute while ∠11 is obtuse.

------------

Answer:

Motorcycle will complete the 540 mile trip in 11.25 hr.

The car will complete it 2.25 hours less, or 9 hours.

The speed of the car therefore is 540/9 = 60 mph.

60t + 48t = 540

108t = 540

t = 5

So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles

and the car will have traveled 60*5 = 300 miles.

Hope this help

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

D=[tex]\sqrt{(8-4)^2+(1-4)^2}[/tex]

D=[tex]\sqrt{4^2+(-3)^2}[/tex]

D=[tex]\sqrt{16+9}[/tex]

D=[tex]\sqrt{25\\}[/tex]

D=5

Answer: B

Step-by-step explanation:

Use the distance formula: [tex]d = \sqrt{(x_2 -x_1)^{2}+(y_2-y_1)^{2}}[/tex]

[tex]d_{PQ} = \sqrt{(8-4)^{2}+(1-4)^{2}}[/tex]

         [tex] = \sqrt{(4)^{2}+(-3)^{2}}[/tex]

         [tex] = \sqrt{16+9}[/tex]

         [tex] = \sqrt{25}[/tex]

         [tex] = 5[/tex]

Answer:

75%

Step-by-step explanation:

To calculate the percent increase or decrease, we:

The population of the town originally had 8,000 in 1992. In 1997, the population is 14,000.

The towns population increase by 75%

To find the percent increase in the population from 1992 to 1997, subtract the initial population from the final population, divide by the initial population, and multiply by 100, resulting in a 75% increase.

To calculate the percent increase in the population of the town from 1992 to 1997, follow these steps:

Therefore, the percent increase in the population from 1992 to 1997 was 75%.