Which expression has a negative value?

The quotient of 26,208 divided by 42 is 624. This is a straightforward division problem that can often be solved using a calculator or through long division by hand.

To find the quotient of 26,208 divided by 42, you need to perform a division operation. When you divide 26,208 by 42, you'll find that the answer is 624 without any remainder. This is a straightforward division problem that can often be solved using a calculator or through long division by hand.

Answer:

The nth term of the given arithmetic sequence is [tex]a_n=-17+(n-1)9[/tex]

Step-by-step explanation:

Given sequence is -17,-8,1,...

To find the nth term of the given sequence :

Let  [tex]a_1=-17,a_2=-8,a_3=1,...[/tex]

To find the common difference d :

[tex]d=a_2-a_1[/tex]

[tex]=-8-(-17)[/tex]

[tex]=-8+17[/tex]

Therefore d=9

[tex]d=a_3-a_2[/tex]

[tex]=1-(-8)[/tex]

[tex]=1+8[/tex]

Therefore d=9

The common difference d is 9

Therefore the given sequence is an arithmetic sequence

The nth term of an arithmetic sequence is given below

[tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=-17[/tex] and d=9 in the above equation we get

[tex]a_n=-17+(n-1)9[/tex]

Therefore the nth term of the given arithmetic sequence is [tex]a_n=-17+(n-1)9[/tex]

The formula for the nth term of the sequence -17, -8, 1 is a_n = 9n - 26, where n is the position of the term in the sequence.

The sequence provided is -17, -8, 1, which suggests that there is a common difference between terms since it is an arithmetic sequence. To find the nth term of an arithmetic sequence, we use the formula a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. In this case, the common difference is 9 (since -8 - (-17) = 9).

So, using the formula for the nth term of an arithmetic sequence:

Our formula becomes a_n = -17 + (n - 1) × 9. Simplifying this:

a_n = -17 + 9n - 9

a_n = 9n - 26

Therefore, the formula for the nth term of the given sequence is a_n = 9n - 26.

Answer:

n-21=31

Step-by-step explanation:

Just read it carefully, it is worded weirdly, but just think about it.

Answer:

52

Step-by-step explanation:

n-21=31

n=31+21

n=52

Answer:

(x-8)/10

Step-by-step explanation:

-------

(X - 8)/10 or (8 -X)/10

The unknown number can be given as X

The difference between the number and 8 can be given as 8 -X or X - 8

The dividing it by 10 will give (x-8)/10 or (8-x)/10 depending on the value of the unknown number X

Answer:

Step-by-step explanation:

Time taken = 9.77/100 = 0.0977 seconds

Step-by-step explanation:

so to find out how long you would first do 60-30 as this is how many extra minutes they workout. the answer is 30.

then you would divide 30 by 2 that makes 15 as there is 2 people then you would add 15 to 30 and you get 45

45mins on treadmill

freehand=60-45=15

60-30=30

30÷2=15

15+30=45

60-45=15

part A:

freehand=f

treadmill=t

x=y+30

that is what i believe the eqation is

Final answer:

After using 4 1/4 yards out of 5 3/4 yards of cloth to make curtains, 1 1/2 yards of cloth remain.

Explanation:

You are provided with 5 3/4 yards of cloth and you use 4 1/4 yards for making curtains. To find out how much cloth remains, you need to subtract the amount used from the total amount provided. You perform the subtraction by converting the mixed numbers to improper fractions or by subtracting the whole numbers and fractions separately.

First, subtract whole numbers:

Next, subtract the fractions:

Combine the whole number and the fraction for the final answer:

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}[/tex]

[tex]\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}[/tex]

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Work Shown:

3(x+9)-2

3*x+3*9 - 2 ..... distribute

3x+27-2 .... multiply

3x+25 .... combine like terms

Answer:3x+25

Step-by-step explanation:

Answer:

I think the answer is C

Step-by-step explanation:

from looking at the graph and how the lins intercept

Answer:

C is the correct answer.

Step-by-step explanation:

Answer:

6 seconds

Step-by-step explanation:

1/12 mile * 5280 feet/mile = 440 feet per train

50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second

one train has to travel 440 feet to pass the other train

440 feet * 1/(73 1/3) sec/ft = 6 seconds

The time it will take for the two trains to pass each other's rear car is 6 seconds.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Two passenger trains travelling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 50 mph.

Therefore, the total distance that the two train needs to cover is twice the size of a train.

Distance = 2 × 1/12miles = 1/6 miles

Also, the relative speed of the two trains moving in opposite directions is,

Speed = 50 mph + 50 mph = 100 mph

Now, the time that the two trains need to cover the entire distance is,

Time = (1/6 miles)/ 100mph = 1/600 hours

Converting the time to seconds,

Time = 1/600 hours × 3600 = 6 seconds

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Answer:

c

Step-by-step explanation:

c

Answer:

[tex]x=-50[/tex]

Step-by-step explanation:

we have

[tex]\frac{x}{5} =-10[/tex]

Solve for x

That means ----> isolate the variable x

Multiply by 5 both sides to remove the fraction

[tex]\frac{x}{5}(5) =-10(5)[/tex]

Simplify

[tex]x=-50[/tex]

4. take 110-80/4-2, this gives you 30/2, which is then 15. Therefore it is 15 dollars per hour

how many consecutive odd integers are there, or else I can't help you

==================================================

Work Shown:

x = some integer

2x = even integer

2x+1 = odd integer

(2x+1)+2 = 2x+3 = odd integer just after 2x+1

The integers 2x+1 and 2x+3 add to 36

(2x+1)+(2x+3) = 36

2x+2x+1+3 = 36

4x+4 = 36

4x+4-4 = 36-4 ... subtract 4 from both sides

4x = 32

4x/4 = 32/4 .... divide both sides by 4

x = 8

With x = 8, we can say

2x+1 = 2*8+1 = 17 is the first odd integer

2x+3 = 2*8+3 = 19 is the next odd integer

17+19 = 36, so the answer is confirmed

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

A non-algebraic way to get the answer is to divide 36 in half to get 18

Then try odd integers around 18, so 19+21 = 40 but thats too high

then maybe try 15+17 = 32, thats too low

17+19 = 36 is right on the money

Answer:

C none of the above

Step-by-step explanation:

x + z + y

is not going to be equal to x + y - z

Its like saying 10 + 5 - 4 = 11

To 10 + 5 + 4, they are not going to be equal

Answer:

C none of the above

Step-by-step explanation:

The quotient is [tex]\frac{3(y-5)}{2}[/tex]

Explanation:

The expression is [tex]\frac{2 y^{2}-6 y-20}{4 y+12} \div \frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex]

Now, reciprocal the term [tex]\frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex] and convert ÷ to ×

[tex]\frac{2 y^{2}-6 y-20}{4 y+12} \times \frac{3 y^{2}+18 y+27}{y^{2}+5 y+6}[/tex]

Taking the common terms out, we get,

[tex]\frac{2\left(y^{2}-3 y-10\right)}{4(y+3)} \times \frac{3\left(y^{2}+6 y+9\right)}{y^{2}+5 y+6}[/tex]

Factorizing each numerator and denominator, we get,

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

Multiplying the terms, we have,

[tex]\frac{6(y-5)(y+2)(y+3)^{2}}{4(y+3)^{2}(y+2)}[/tex]

Cancelling the common factors, we get,

[tex]\frac{3(y-5)}{2}[/tex]

Thus, the quotient is [tex]\frac{3(y-5)}{2}[/tex]

Answer:

B

Step-by-step explanation:

On edge 2021

Answer:

[tex]\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]

Step-by-step explanation:

In the first equality

[tex]5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],[/tex]

the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so

[tex]5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}[/tex]

For the second equality

[tex](H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),[/tex]

if [tex]H=[-2\ 3\ -1][/tex], then this equality represents the assotiative property of matrix addition.

Hence,

[tex]m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]

it had to be b cuz now all quadrilateral have straight sides

Question 3

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Explanation:

Note how in choice A we have repeated x values

x = 3 pairs up with y = 4 and y = 5 at the same time.

The input x = 3 must only pair up with one output only if we want a function to happen.

If you plotted the points (3,4) and (3,5), it is possible to draw a vertical line through them. So this fails the vertical line test.

The other answer choices do not have repeated x values, so they are all functions.

==========================================

Question 4

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If you plotted choice A and choice D on an xy coordinate system, you should see straight lines forming.

2x+3y = 10 turns into y = (-2/3)x+10/3 which is y = mx+b form.

Choice D's equation is equivalent to y = 0x+18, so its slope here is 0, making it a flat horizontal line.

Choice B does not count as an answer because while it is a linear vertical line, it is not a function for similar reasons back in question 3. The fact that x = 16 pairs up with infinitely many y values is what makes this not be a function.

Choice C is not a linear equation. Instead it is a quadratic equation because the largest exponent is 2.

Answer:

67000*.15=10,050

Step-by-step explanation:

The required down payment would be the amount of $10,050.

The percentage is defined as a ratio expressed as a fraction of 100.

Anna wants to buy a house for $67,000.

She will need a down payment of 15%.

We have to determine the evaluation of 15% of $67,000.

⇒ 15% of 67,000

15%  is expressed as 15/100 in fractional form

⇒ (15/100)(67,000)

15/100  is expressed as 0.15 in decimal form

⇒ (0.15)(67,000)

Apply the multiplication operation, and we get

⇒ 10,050

Therefore, the down payment would be $10,050.

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D.1998-2000

Step-by-step explanation:

Deflation describes the drop of prices for goods and services leading to slowing down of economic growth.During economic uncertainty, prices of goods and services can get very low causing the inflation rate to go lower than zero.CPI index shows inflation when it rises over a short period of time.CPI declines to mean deflation where there is a steady decrease in prices of goods and services.

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Answer:

The answer is 2

Step-by-step explanation:

4 + (-2) = 2

Answer:

2

Step-by-step explanation:

Given the expression : a + (-b)

where a = 4 and b = 2

Therefore: a + (-b) = 4 + (-2)

=4 - 2

= 2

she drinks 9/2 ounces of water in 1 hour

Step-by-step explanation:

On average, the person drinks 1/2 of a 6-ounce glass of water in 2/3 hour.

First of all, we have to rewrite the amount of water in a single fraction: we have

[tex]\frac{1}{2}\cdot 6 = \frac{6}{2}=3[/tex]

This means that the person drinks 3 ounces of water every 2/3 hours.

In order to find how much water she drinks in one hour, we use the following proportion:

[tex]\frac{3}{2/3}=\frac{x}{1}[/tex]

where

x is the amount of water she drinks in one hour.

Solving the equation for x,

[tex]x=\frac{3\cdot 1}{2/3}=\frac{3\cdot 1 \cdot 3}{2}=\frac{9}{2}[/tex]

Therefore, she drinks 9/2 ounces of water in 1 hour.

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Answer:

  13/10

Step-by-step explanation:

13/10 = 1.30 is a number between 1.25 and 1.50.

Final answer:

The weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 41/20 kg.

Explanation:

Let's assume the weight of each bag of equal weight is x kg. According to the question, the third bag is heavier than each of the equal bags by 1 1/5 kg, which can be written as 6/5 kg.

So, the weight of the third bag is x + 6/5 kg.

Now, we can set up an equation based on the given information:

2x + (x + 6/5) = 6 3/4

Simplifying the equation, we get:

3x + 6/5 = 27/4

Now, we can solve for x by multiplying both sides of the equation by 5 to get rid of the fraction:

15x + 6 = 135/4

15x = 135/4 - 6

15x = 135/4 - 24/4

15x = 111/4

Now, divide both sides of the equation by 15 to solve for x:

x = (111/4) / 15 = 111/60 = 37/20 = 1 17/20

Hence, the weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 17/20 + 6/5 = 1 17/20 + 24/20 = 1 41/20 kg.

Answer:

10 weeks

Step-by-step explanation:

Answer: 26 weeks

Step-by-step explanation:

This is an example of an arithmetic sequence.

The first term = 3.5

common difference = 0.5

Using the formula for calculating the nth term of an arithmetic sequence :

[tex]t_{n}[/tex] = a + (n - 1 ) d

Therefore :

16.5 = 3.5 + ( n - 1 ) x 0.5

16. 5 = 3.5 + 0.5n - 0.5

16.5 = 3 + 0.5n

16.5 - 3 = 0.5n

13.5 = 0.5n

n = 13.5/0.5

n = 27

Therefore , it will take the cat (n-1)  weeks to weigh 16.5 ounce, which will be 27 - 1 = 26

check:

3.5 + 26 ( 0.5)

= 3.5 + 13

= 16.5

The 3 inside angles need to equal 180.

Subtract E from 180 to find the sum of the other two angles:

180 - 104 = 76

Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2

Angle D = 38