what is the slope of the line? (Slope from equation)
7x+2y=5
thanks.

The difference is 9 degrees

To find the two numbers, we can assign a variable and set up an equation based on the given information. By solving the equation algebraically, we can determine that the two numbers are 52 and 73.

To solve this problem, we can assign a variable to one of the numbers.

Let's say the first number is x.

Then, the second number would be 125 - x, since the sum of two numbers is 125.

Next, we can set up an equation with the given information: 5x - 3(125-x) = 41.

Simplifying this equation, we get 5x - 375 + 3x = 41.

Combining like terms, we have 8x - 375 = 41.

Adding 375 to both sides, we get 8x = 416. Finally, dividing both sides by 8, we find that x = 52. Therefore, the two numbers are 52 and 73 (125-52).

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9,990 first digit is like 1, then 10, then 100, then 1000 so the fourth digit being 1 goes to 0 when rounding

When rounding to the nearest thousand, you look at the following number to know if you go up or stay. In the case of 9,991:

9,991     If the 2nd largest digit is ≥ 5, then round up.

10,000

Therefore, you would round 9.991 to 10,000.

Hope this helps! :)

Edit: I literally solved for the wrong thing earlier lol; fixed it.

A=TX

Rewrite it

Tx=a

Divide t both sides to get x alone

Tx/t=a/t

Solve

X= a/t

-1  1/64

Hope that helps!!

[tex]- \frac{65}{64}[/tex] as a mixed nombre, The correct answer is [tex]-1 \frac{1}{64}[/tex]

Answer: The answer to this question is 38 in.

Step-by-step explanation: All we have to do here is to add all the sides and here's the formula P=s+s+s where s stands for side. We substitute in the values P= 14+8=16 and the result is P= 38 in. Hope this helps!

14 is a multiple of 7 and 14.

It is also the least common multiple of 7 and 14.

14 is a multiple of 7 and 14

The statement that "14 is a multiple of 7 and 14" is accurate because 14 can be evenly divided by both 7 and 14. A multiple of a number is the result of multiplying that number by any integer. In this case, 7 multiplied by 2 equals 14, making 14 a multiple of 7. Similarly, 14 multiplied by 1 equals 14, making it a multiple of itself.

Regarding the claim that "14 is the least common multiple of 7 and 14," it is actually incorrect. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. In this case, the LCM of 7 and 14 is 14, not 14 itself.

The correct statement would be that 14 is a common multiple of 7 and 14, but it is not the least common multiple. The LCM is the smallest positive integer that is divisible by both numbers, and in this case, it is 14.

To learn more about multiple

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4+2=6 then you bring the 6 to the other side so you have combine like terms. 6-6=0 so its 0

A = 36

Check:

6 = 36/4 + 2

6 = 36/ 6

6 = 6 (True)

Answer:

The numbers are 1, 2 ,3, 4, 5 and 6.

Therefore 4 of the 6 numbers are greater than 2 so the probability is 4 out of 6 or 2/3.

Step-by-step explanation:

The question relates to probability while rolling a six-sided die for a number greater than 2. There are four favorable outcomes; 3, 4, 5, or 6. Therefore, the probability of this event is 4/6 or 2/3.

The question you asked pertains to the concept of probability, specifically within the context of a fair, six-sided die. In this experiment, there are 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6. When asked for the probability of rolling a number greater than 2, the outcomes we consider favorable are 3, 4, 5, and 6. That's 4 favorable outcomes. So, to calculate the probability of this event, you must divide the number of favorable outcomes by the total number of possible outcomes. Thus, the probability of rolling a number greater than 2 on a six-sided die is 4/6 or reducing to its simplest form becomes 2/3.

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Final answer:

The sequence 5-8-14-23-55 does not follow a clear linear or geometric pattern rule based on the differences between its terms. A simple pattern is not evident, and more context is required to determine if there's a complex rule or an error with the given numbers.

Explanation:

The sequence provided, 5-8-14-23-55, does not have a clear linear or geometric progression that is immediately evident. To determine the pattern rule, we need to look at the differences between successive terms:

8 - 5 = 3

14 - 8 = 6

23 - 14 = 9

55 - 23 = 32

The differences between the first few terms are incremental by 3, but the last increment does not follow this progression. Therefore, there is no single common pattern rule applicable to the entire sequence given. If more context or additional numbers in the sequence are provided, it may be possible to discern a more complex rule or recognize if the last term is an error.

Solution

The 1st term = -3

15th term = 53

15th term = a + d(n-1)

53 = -3 + d(15- 1)                       [Here n = 15)

53 + 3 = d(14)

14d = 56

d = 4

The common difference is 4.

Hey there!!

Given equation :

... 4x² ( -3x )

... We know, 4 times -3 would be -12 and x² times x would be x³.

Hence,

the answer of 4x² × -3x is

... -12x³

Hope my answer helps!!

Answer:

Answer:

I believe it is 3/13

Im not sure...

Correct Me if im wrong...

When I had these kinds of problems, I'd count how many negatives there were. If there more or less negatives to positives, then it is negative. If there's the same amount of positives and negatives, then it's positive since they cancel out! The answer to this is A. (-2)(-4)(8)(-1)=-64.

In mathematics, the product −2⋅(−4)⋅8⋅(−1) is negative. This occurs because it has an odd number (three) of negative numbers being multiplied, leading to a negative product. The other options will give either a positive product or zero.

In the realm of mathematics, when we multiply equal numbers of positive and negative values, we arrive at positive products. However, when we multiply an unequal number of positive and negative values, the product is negative. Let's apply this rule to the given products:

Among the provided choices, only the first product, −2⋅(−4)⋅8⋅(−1), will yield a negative product.

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Hello...

The sum of twice a number six is the same as three subtracted from the number itself.

Answer - 2x + 6 = 3 - x

Answer:

22/100 divided by 2 equals 11/50

Step-by-step explanation:

22/100=11/50

22/100=22%

22/100=0.22

[tex]f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12[/tex]

To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area. Therefore, options B and D can be considered as reasonable amounts of tile for Mandana to order.

To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area.

15% of 119.9 square feet is 0.15 * 119.9 = 17.985 (approximately 18 square feet).

20% of 119.9 square feet is 0.20 * 119.9 = 23.98 (approximately 24 square feet).

Adding the additional tile to the original area, the reasonable amounts of tile for Mandana to order would be:

Therefore, both options B and D, which are 140 and 145 square feet respectively, can be considered as reasonable amounts of tile for Mandana to order.

Final answer:

To find a reasonable amount of tile for Mandana to order, calculate the range of 15% to 20% extra of the materials by multiplying the area of the floor by each percentage. Add the extra amount to the area of the floor to get the reasonable amount of tile to order.

Explanation:

To find a reasonable amount of tile for Mandana to order, we need to calculate the range of 15% to 20% extra of the materials she needs. First, we find the extra amount by multiplying the area of the floor by each percentage. The extra amount ranges from 17.985 to 23.98 square feet. Finally, we add the extra amount to the area of the floor to get the reasonable amount of tile to order, which ranges from 137.985 to 143.98 square feet. Therefore, option C (137 square feet) is a reasonable amount of tile for Mandana to order.

Answer.

The Answer is C.

Step-by-step explanation:

1.) The average nightly ticket sales can be calculated as

Average sales = Average no. of customers per night x Charge per ticket

For the second night, we have

$1750 = (N)($7)

This gives us N = 250.

So, the average number of customers decreased as a result of the price increase.

To calculate the percentage change, we use the following formula:

% change = [tex]\frac{250 -300}{300} X 100[/tex]

We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.

2.) % change in prices = [tex]\frac{Final price - Initial price}{Initial price} X100[/tex]

Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.

3.) Elasticity of Demand = [tex]\frac{ percentage change in quantity demanded}{percentage change in price}[/tex]

Hence, we have [tex]\frac{-17}{40}[/tex] = -0.425

This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.

4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.

false

hope this helps :)

Isolate the y. Note the equal sign. What you do to one side, you do to the other. Subtract 4.58 form both sides

4.58 (-4.58) + y = 2.5 (-4.58)

y = 2.5 - 4.58

y = -2.08

-2.08 is your answer

hope this helps

Answer:

Colton will rake and fill [tex]\frac{237}{5}[/tex] bags of leaves.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that Colton can rake [tex]\frac{79}{10}[/tex] bags of leaves each hour.

2. Then, to calculate the amount of bags of leaves that he will rake and fill in 6 hours (which you can call [tex]x[/tex]), you must multiply these hours by the amount of bags he can rake in 1 hour:

[tex]x=(6)(\frac{79}{10})\\x=\frac{474}{10}[/tex]

3. Simplify:

[tex]x=\frac{237}{5}[/tex] bags of leaves.

Colton can rake and fill 47.4 bags of leaves in 6 hours.

The student has asked how many bags of leaves Colton can rake in 6 hours if he can rake 79/10 bags of leaves each hour. To find the total bags Colton can rake, we need to multiply the number of bags Colton can rake per hour by the total number of hours he works. Here is the calculation step-by-step:

Therefore, Colton can rake and fill 47.4 bags of leaves in 6 hours.

Answer:D

Step-by-step explanation:

2 1/2

2.4

2.35

2 1/8

Exactly how you had it

When rotating a figure in the first quadrant 180 degrees clockwise, the x-coordinates and y-coordinates of the points are negated.

When an object in the first quadrant is rotated 180 degrees clockwise, its position is reflected across both the x-axis and y-axis. This means that the x-coordinates are negated and the y-coordinates are also negated.

For example, if a point A is located at (3, 4) in the first quadrant, after rotating it 180 degrees clockwise, it will be reflected across the x-axis and y-axis to the position (-3, -4).

Therefore, all points in the figure will have their coordinates negated when rotated 180 degrees clockwise in the first quadrant.

7x + 8 = 120

Subtract 8 from both sides.

7x = 112

Divide both sides by 7.

x = 16

Answer: Number of children is 5268

Step-by-step explanation:

Since we have given that

The ratio of men to women to children is given by

17:9:12

So,

Number of men be 17x

Number of women be 9x

Number of children 12x

According to question, we have there are 3512 more men than women ,

so,

[tex]17x-9x=3512\\\\8x=3512\\\\x=\frac{3512}{8}\\\\x=439[/tex]

So, Number of children is given by

[tex]12x=12\times 439=5268[/tex]

The number of children who attend the game are:

                   5268

The ratio of number of men to number of women to the number of children is given by:

           17:9:12

Let x be a constant such that we may define:

Number of men are: 17x

Number of women are: 9x

and the number of children are: 12x

There are 3512 more men than women.

This means that:

        17x-9x=3512

i.e.    8x=3512

i.e.  x=439

Hence, the number of children who attend the game are:

           12x=12×439

               = 5268

The vertical angles have equal measures.

Therefore, if ∠ a and ∠b are vertical angles, then m∠a = m∠b.

Answer: m∠b = 115°