The Empire State Building in New York City is 1250 feet tall. It took 30,000 workers only 1 year and 45 days to build, which is a record for a skyscraper. On a scale model of the building, the height is 25 inches.

What is the scale of the Empire State Building model?

Answer:

In my opinion the answer is y = 6

Step-by-step explanation:

We have two unknowns from the equation therefore, two equations are needed. These equations are:

3x + y = 9  

y = –4x +10  

To solve for y, we first substitute the second equation to the first one.

3x + –4x +10= 9  

x = 1

We substitute the value of x to either of the equations and solve for y.

y = –4(1) +10  

y = 6

Answer:

y=6

Step-by-step explanation:

[tex]3x + y = 9[/tex]

[tex]y = -4x + 10[/tex]

Substitute the value of y in the first equation:

[tex]3x + (-4x + 10) = 9[/tex]

Apply the subtraction property of equality:

[tex]-x + 10 = 9[/tex]

[tex]-x=-1[/tex]

x=1

Substitute 1 for x in the given y equation

[tex]y = -4x + 10[/tex]

[tex]y = -4(1)+ 10[/tex]

y=6

Answer:

(fog)(-3) = 125

Step-by-step explanation:

So, we need to first evaluate g(-3) and then plug the value of g(-3) into f(x) to find (fog)(-3). So, let's do that:

[tex]g(-3) = -3-2 = -5[/tex]

[tex]f(g(-3)) = f(-5) = 5(-5)^2 = 5(25) = 125[/tex]

Thus, (fog)(-3) = 125.

Answer:

53 1/3 mph

Step-by-step explanation:

Speed equals distance over time.

She covered 300 miles in 60mph, which took 5 hours.

(300/60=5 )

She also covered 100 miles in 40mph, which means she took 2.5 hours.

(100/40=2.5)

So the total distance is 400miles and the total time is 7.5 hours.

s=d/t substitute values which gives you 400/7.5 which equals 53 1/3 mph

wednesday (9/11) has the most homework for Sarah. because it is equivalent to 90/110 which is greater than every other fraction answer given.

--mark brainliest please! thank you and i hope this helps

Sarah had the most homework on Wednesday.

The acronym LCM stands for the least common multiple or factor of any two or more specified integers. The least common multiple for the numbers 16 and 20 is 80, hence the LCM of those two numbers will be, for instance, 2 x 2 x 2 x 2 x 5 = 80.

Given

Sarah had the most homework on Wednesday. Least common multiple for 10, 5, 11 and 2 is 110.

Monday: 7/10 = (7*11)/(10*11) = 77/110

Tuesday: 3/5 = (3*22)/(5*22) = 66/110

Wednesday: 9/11 = (9*10)/(11*10) = 90/110

Thursday: 1/2 = (1*55)/(2*55) = 55/110

Since 90 > 77 > 66 > 55 it is clear that Sarah had the most homework on Wednesday.

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Explanation:

If we had a pit stop every 1 mile, then we would have 36 pit stops. Note how 36/1 = 36.

If we had a pit stop every 2 miles, then we would have 18 pit stops because 36/2 = 18

If we had a pit stop every 3 miles, then we would have 12 pit stops because 36/3 = 12

And so on.

As you can see, we divide the total length 36 over the number of miles between pit stops. This applies even to fractions as well

Divide 36 over 4/6 to get

[tex]36 \div \frac{4}{6} = 36 \times \frac{6}{4} = 36 \times 1.5 = 54[/tex]

Recall that when you divide by a fraction, you flip the second fraction and multiply. The action of "flipping" is known as applying the reciprocal.

So this means there are 54 pit stops in total.

An alternative method to get the answer is to note that 4/6 = 0.66666667 approximately, and 36/0.66666667 = 53.99999973 which is very close to 54 that we got above. The reason why its not exactly 54 is because of rounding error. The more decimal digits you use, the more accurate the result will be.

Answer:

y = 5

Step-by-step explanation:

7(y + 2) – (4y – 10) = 44 – 2y + 5

(7y+14) - (4y - 10) = 49 -2y

3y +24 = 49 -2y

5y +24 = 49

5y = 25

y = 5

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, distribute and combine like terms to simplify both sides of the equation. Isolate the variable y on one side of the equation by performing inverse operations. The solution to the equation is y = 3.

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, we need to simplify both sides by distributing and combining like terms. Starting with the left side, we distribute 7 to both y and 2 to get 7y + 14. Then, distribute -1 to both 4y and -10 to get -4y + 10. Combining like terms, we have 7y + 14 - 4y + 10 = 44 - 2y + 5. Simplifying further gives us 3y + 24 = 39 - 2y. To isolate the variable y, we need to get all the y terms on one side. Adding 2y to both sides gives us 5y + 24 = 39. Finally, subtracting 24 from both sides yields 5y = 15. Dividing both sides by 5 gives us y = 3. Therefore, the solution to the equation is y = 3.

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Answer:

Step-by-step explanation:

It depends on how many green and orange marbles their are...If their is 30 marbles in a bag and 10 of them are orange and green it would be 10/30 divide both of them by 10 and you would get 1/3 But that is just an example.

Hope my answer has helped you in any way!

Answer:0.04444

Step-by-step explanation:

Number of red balls = 5  

Number of orange balls = 2

Number of yellow balls = 1

Number of green balls = 2

Therefore total number of balls = 10.

Probability of getting a ball =

 P(choosing orange ball) =  

After picking an orange ball, we are left with 9 balls

P ( choosing a green ball) =

P(choosing an orange marble and a green marble) =

0.04444 is the approximate probability of choosing an orange marble and a green marble.

Answer:

61728394.5

Step-by-step explanation:

Using order of operations, you can either perform the multiplication first or the division first.

123,456,789 × 2 / 4 =

123,456,789 / 2 =

61728394.5

Answer:

61,728,394.5

Step-by-step explanation:

Remember to follow PEMDAS & left->right rule.

In this case, they are multiply & divide, so you can solve through left - > right rule:

123,456,789 x 2 = 246,913,578

246,913,578/4 = 61,728,394.5

61,728,394.5 is your answer.

~

Answer:

Step-by-step explanation:

46-21=25

Answer:  25 miles

Step-by-step explanation:

Given : The distance is remaining to travel to reach the beach from the sign = 21 miles

The distance between the beach and his house = 46 miles

Now, the distance Cameron traveled already is given by :-

[tex]\text{Total distance-Remaining distance}\\\\=46-21=25\text{ miles}[/tex]

Hence, Cameron already traveled 25 miles.

Answer:

The answer is C

Step-by-step explanation:

The correct option is c.

The following information should be considered:

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Answer:

Step-by-step explanation:

the area is :A= L×W

                   A= (2x²-x+3)(4x²+2x-1).....calculate

the perimeter is : P= 2(L+W)

                             P= 2(2x²-x+3)+(4x²+2x-1))....calculate

Answer:

x = - 2, x = 6

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

Solve

- 3x² + 12x + 36 = 0 ( divide through by - 3 )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

x = - 2 and x = 6 ← are the excluded values

Answer:

[tex]\frac{(6p+14)}{p}[/tex]

Step-by-step explanation:

[tex](p+\frac{7}{3})(\frac{6}{p})[/tex]

Making denominator same in first bracket we get

[tex](\frac{3p+7}{3})(\frac{6}{p})[/tex]

[tex](\frac{(3p+7)*6}{3*p})[/tex]

Dividing 6 by 3 we get 2

[tex](\frac{(3p+7)*2}{p})[/tex]

using distributive law

[tex](\frac{6p+14}{p})\\[/tex]

Hence this is our answer

Answer:

Option d. 2p +  [tex]\frac{14}{p}[/tex]

Step-by-step explanation:

We have to find the expression equivalent to the product of ( P + [tex]\frac{7}{3}[/tex]) and (  [tex]\frac{6}{p}[/tex] ) where p ≠ 0

( p +  [tex]\frac{7}{3}[/tex] ) × (  [tex]\frac{6}{p}[/tex] )

= p (  [tex]\frac{6}{p}[/tex] ) + (  [tex]\frac{7}{3}[/tex] ) ( [tex]\frac{6}{p}[/tex] ) [distributive law]

= 6 + ( [tex]\frac{14}{p}[/tex] )

=  [tex]\frac{(6p+14)}{p}[/tex]

Therefore, option D is the answer.

Answer: Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

[tex](x-h)^2+ (y-k)^2=r^2[/tex]

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D

Answer:

x =[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}-x=[tex]\frac{1}{4}[/tex]

⇒ Minus [tex]\frac{3}{8}[/tex] from both sides

- x =[tex]-\frac{1}{8}[/tex]

⇒ Multiply both sides by -1 to get rid of negative

x =[tex]\frac{1}{8}[/tex]

Answer:

x = 1/8.

Step-by-step explanation:

3/8 - x = 1/4

Subtract 3/8 from both sides:

- x = 1/4 - 3/8

-x = 2/8 - 3/8

-x = -1/8

Divide both sides by -1:

x = 1/8.

Answer:

x=1  y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8  

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8  

5x+2y=4

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

12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

Answer:

The best method is the elimination method. The solution is (1, -1/2).

Step-by-step explanation:

7x - 2y = 8

5x + 2y = 4

12x = 12

x = 1

7(1) - 2y = 8

7 - 2y = 8

-2y = 1

y = -1/2

Make sure to write the answer in the form of an ordered pair.

Note: Alternative methods are graphing and the substitution method.

Answer:

78 points

Step-by-step explanation:

Let x = sum of the 10 scores

x/10 = 67

x /10 *10 = 67* 10 = 670

The sum of the 10 scores is 670

Now we play 1 more game and score g

We want to find the average  for the 11 games

The average is 68

(670 + g)/11 = 68

Multiply each side by 11

(670+g)/11 *11 = 68*11

670+g =748

Subtract 670 from each side

670+g-670 = 748-670

g =78

-2 to -1 is the correct answer

Answer: First option, Second option, Third option  and Fourth option.

Step-by-step explanation:

You need to substitute each point into the inequality:

1) Point (-2,-5):

[tex]y > 2x - 4\\\\-5 > 2(-2) - 4\\\\-5>-8\ (This\ is\ true)[/tex]

 2) Point (0,4):

[tex]y > 2x - 4\\\\4 > 2(0) - 4\\\\4>-4\ (This\ is\ true)[/tex]

3) Point (1,1):

[tex]y > 2x - 4\\\\1 > 2(1) - 4\\\\1>-2\ (This\ is\ true)[/tex]

4) Point (3,5):

[tex]y > 2x - 4\\\\5 > 2(3) - 4\\\\5>2\ (This\ is\ true)[/tex]

5) Point (5,5)​:

[tex]y > 2x - 4\\\\5 > 2(5) - 4\\\\5>6\ (This\ is\ not\ true)[/tex]

Answer:1st 3rd and 4th

Step-by-step explanation:

Hope I helped

Answer:

Stanley factored it correctly.

Step-by-step explanation:

[tex]11x^3y^5[/tex]

We are given that Marie and Staley factored the above expression as follows and we are to determine who factored it correctly:

Marie: [tex]11x^3y^5[/tex] ---> [tex](8x^3)(3y^5)[/tex]

[tex](8x^3)(3y^5)[/tex] = [tex]24x^3y^3[/tex] so this is wrong.

Stanley: [tex]11x^3y^5[/tex] ---> [tex](11xy)(x^2y^4)[/tex]

[tex] ( 1 1 x y ) ( x ^ 2 y ^ 4 ) [/tex] = [tex] 1 1 x ^ 3 y ^ 5 [/tex]

Therefore, Stanley factored it correctly.

For this case we add the quantities of calories consumed per day, that is:

[tex]1,405 + 1,219 + 1,119 + 1,353 = 5,096[/tex]

So Serena consumed 5,096 calories in 4 days. If we want to know the average calorie content per day, we divide the amount obtained by 4:

[tex]\frac {5,096} {4} = 1,274[/tex]

ANswer:

5,096 total calories

Consumes on average 1,274 calories per day.

Answer:  see table below

Step-by-step explanation:

[tex]\left\begin{array}{c|l}T&\qquad w(t)\\1&\dfrac{1}{1^2}=1\implies 1.00\\\\2&\dfrac{1}{2^2}=\dfrac{1}{4}\implies 0.25\\\\10&\dfrac{1}{10^2}=\dfrac{1}{100}\implies 0.01\\\\50&\dfrac{1}{50^2}=\dfrac{1}{2500}\implies 0.0004\\\\100&\dfrac{1}{100^2}=\dfrac{1}{10000}\implies 0.0001\\\\200&\dfrac{1}{200^2}=\dfrac{1}{40000}\implies 0.000025\\\\500&\dfrac{1}{500^2}=\dfrac{1}{250000}\implies 0.000004\\\\1000&\dfrac{1}{1000^2}=\dfrac{1}{100000}\implies 0.000001\\\end{array}\right[/tex]

ANSWER

The correct answer is D

EXPLANATION

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function.

Based on this we conclude that,

[tex] - \frac{ 2}{5} [/tex]

is a potential rational root of

[tex]f(x) = 25 {x}^{4} - 7 {x}^{2} + x + 4[/tex]

The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

Answer: the correct answer is D

Answer:

25

Step-by-step explanation:

Just square root 625.  

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For more questions or more information, please comment below!

Answer:

1/5

Step-by-step explanation:

There are 10 marbles and two white marbles.

make a probability.

2/10

simplify= 1/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

i had the same problem on acellus and 1/5 was the right answer for me not 4/5

Answer:

-6b

Step-by-step explanation:

In this question, its simple math,how?

All the terms are alike, so just apply subtraction method;

[tex]=12b-17b-b\\\\\\\\=12b-18b\\\\=-6b[/tex]

For this case we have the following expression:

[tex]12b-17b-b=[/tex]

We have that by definition of Law of the Signs of the Sum that: Equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the greater is placed. So:

[tex]-5b-b =\\-6b[/tex]

Answer:

-6b

Answer:

answer : c    ( x = 1  , y = -1 , z = 1)

Step-by-step explanation:

put   x = 1  , y = -1 , z = 1

in this equations :

3(1)+3(-1)+6(1)=6 ........ 6=6 right

3(1)+2(-1)+4(1)=5 .....5=5  right

7(1)+3(-1)+3(1)=7......7=7  right

56 large boxes and 40 small boxes.

To solve this problem, we need to use the concept of multiples. By definition, a multiple of a number is that number multiplied by an integer. For instance, 3, 6, 9, 12 are multiples of 3. So let's do a chart and list the multiples of large and small boxes:

[tex]\begin{array}{cccccccccc}Number\,of\,boxes & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\Large & 8 & 16 & 24 & 32 & 40 & 48 & 56 & 64 & 72\\Small & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90\end{array}[/tex]

From this, our goal is to select the number of small and large boxes such that the sum is 96 boxes of hamburger burns and the number of large boxes is greater than the number of small boxes. From the table, the correct solution is:

56 large boxes and 40 small boxes, and this meets our requirement, because 56 + 40 = 96 and 56 > 40

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

When dividing fractions these are the steps you will take:

1. The first number in the expression stays the same  

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

2. Change the division sign into a multiplication sign

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-1}{3}[/tex]

3. Take the reciprocal (switch the places of numerator and denominator) of the second number in the expression

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-3}{1}[/tex]

4. Multiply across

[tex]\frac{-3*-3}{8*1}[/tex]

[tex]\frac{9}{8}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Final answer:

The quotient of -3/8 and negative 1/3 is 9/8. To get this result, multiply the first fraction by the reciprocal of the second fraction, and since both fractions are negative, the result is positive.

Explanation:

The question asks about the quotient when dividing two negative fractions, specifically -3/8 and negative 1/3. When dividing fractions, the rule is to multiply the first fraction by the reciprocal of the second fraction. Also, when dividing two negative numbers, the result is positive because a negative divided by a negative equals a positive.

To find the reciprocal of negative 1/3, we flip the numerator and denominator to get -3/1, which is -3. Then we keep the first fraction, change division to multiplication, and multiply by the reciprocal of the second fraction:

-3/8 × -3 (which is the reciprocal of negative 1/3)

When we multiply these, the negative signs cancel out and we get 3/8 × 3/1 = 9/8

Therefore, the quotient of -3/8 and negative 1/3 is 9/8, which is a positive number because the negatives cancel each other out as per the multiplication rules for signs.