What is 4x+7z-x+5-(4z) when combining like terms

Answer:

15 L of water

Step-by-step explanation:

24 pots -------------> require 9L of water

1 pot -----------------> requires (9/24) L of water

40 pots -------------> (9/24) x 40 = 15 L of water

The amount of water already in the jug is 5.29 L. To fill the jug up to 5.85 L, 0.56 L more water is needed.

This is a simple arithmetic problem involving addition and subtraction. Given that you need to fill a jug with 5.85 L of water, you have already filled it with 2.45 L and then added 2.84 L more. The total amount of water in the jug now can be found by adding these two amounts together, giving 2.45 L + 2.84 L = 5.29 L. To find out how much more water you need, subtract this amount from the total capacity of the jug: 5.85 L - 5.29 L = 0.56 L. Therefore, you need 0.56 L more water to fill the jug.

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Answer:

The player throws 127.3 ft from second base to home plate.

Step-by-step explanation:

Given:

Distance from home to first base = 90 ft

Distance from first base to second base = 90 ft

We need to find the distance from second base to home.

Solution:

Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.

Now by using Pythagoras theorem which states that;

Square of the hypotenuse side is equal to sum of squares of other two sides.

framing in equation form we get;

distance from second base to home = [tex]\sqrt{90^2+90^2}= 127.27 \ ft[/tex]

Rounding to nearest tent we get;

distance from second base to home = 127.3 ft

Hence The player throws 127.3 ft from second base to home plate.

The distance from second base to home plate is calculated using the Pythagorean theorem because it's the diagonal of the square formed by the bases, which are 90 feet apart. The resulting diagonal (hypotenuse) is approximately 127.3 feet, rounding to the nearest tenth.

The question seems to imply that the distance is known in the context of a standard baseball diamond, but unfortunately, it has not provided us with the exact distance from second base to home plate. However, if we refer to the standard dimensions of a baseball field, the distance from home plate to second base is not a straight line but the diagonal of a square formed by the bases. Each base in professional baseball is 90 feet apart, so to find the distance from second base to home plate, which is the hypotenuse of the square (assuming perfect square dimensions), we would use the Pythagorean theorem.

Using the theorem a² + b² = c², where 'a' and 'b' are the sides of the square (90 feet each) and 'c' is the hypotenuse (distance from second base to home plate), we can calculate:

a² = b² = 90²

Therefore,
c² = 90² + 90² = 8100 + 8100 = 16200

Then, solving for 'c' gives us:

c = √16200 ≈ 127.3 feet

So the baseball player throws the ball approximately 127.3 feet from second base to home plate, rounding to the nearest tenth.

Answer:tall

Step-by-step explanation:

tall

Answer: The quotient = 10

Step-by-step explanation: A quotient is the result you get when a number is used to divide another number. e . g.

6¹/₄  ÷ ⁵/₈ ( where 5/8 is  the divisor )

First convert 6¹/₄ to improper fraction

                       =   25/4 ÷ 5/8

                       =   25/4 × 5/8

                       =    10

The quotient  =   10.

NOTE:  The 5/8 changed to 8/5 because when dividing fractions, immediately you applied the multiplication symbol, the denominator of the divisor becomes the numerator and vice versa

Answer:

-2

Step-by-step explanation:

-3+-5=-8+6= -2

Answer: y = 4x/z , y = 4.

Step-by-step explanation:

Recall ; from Variation,

y ∞ x ----------------------------- 1

y ∞ ¹/z ---------------------------2

Now , combine equation 1 & 2 together, it metamorphosed to

y  =  kx/z -------------------------- 3

Remember, k is a constant and the value  must be find first

K = yz/x

  = (20 x 3) /15

  = 4

 To get the equation that models the relationship, we substitute for k in equation 3

y = 4x/z.

To find the value of y , substitute for the values of k, x and z

y = ( 4 x 6 )/6

  = ²⁴/₆

 = 4

I'll do the first two problems (13 and 14) to get you started.

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Problem 13

I'm going to use square blocks instead of marbles. The same idea applies either way. I'm using blocks because they are easier to draw out.

Draw 9 square blocks that are connected end-to-end forming a long chain. Write O in the first four blocks to represent "orange". Write G in the remaining 5 blocks to represent "green". See figure 1 in the attached image below.

This diagram represents the fact that the orange and green blocks form a ratio of 4:5. There are 4 parts that are orange and 5 parts that are green.

If we have 6 rows of these blocks (see figure 2), then we'll have 6*5 = 30 green blocks overall. This leads to 6*4 = 24 orange blocks. So far we have 30+24 = 54 blocks that are green or orange.

-----

Let x be the total number of blocks

40% of the total x is the number of yellow

40% of x = 0.40*x

60% of x is the remaining number

0.60*x = 54

x = 54/0.60

x = 90

There are 90 blocks total

40% of 90 = 0.40*90 = 36 are yellow

60% of 90 = 0.60*90 = 54 are either green or orange

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Problem 14

Michael has 40 books. Susan has 50% more books than Michael. This means she has 1.5 times as many books

1.5*40 = 60

Susan has 60 books

If Michael buys 8 more books, then he will have 40+8 = 48, which is still less than 60. Susan still has more books.

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Let's compute the percentage difference

A = 48 is the amount of books Michael has

B = 60 is the amount Susan has

C = percent difference

C = 100*(B-A)/A

C = 100*(60-48)/48

C = 25%

Susan has 25% more books compared to Michael

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The act of storing toothpicks on shelves above food in storage can lead to a physcial contamination of the food stored.

Physical contamination of food is the direct contact of a foreign object with the food substance(s). This can affect us when eating because we might not know that such a foreign object has been prepared with the food.

It is advisable to keep foreign objects such as toothpicks away from our food storage or a place whereby they will not have the tendency of coming in contact with our food substance, either knowingly or unknowingly.

Learn more about physical contamination here:

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Answer:

[tex]0.76[/tex]

Step-by-step explanation:

Probability = Number of favorable outcomes / Number of possible outcomes

There are [tex]16[/tex] favorable outcomes ( the [tex]8+8=16[/tex] marables that are either blue or red).

There are [tex]21[/tex] possible outcomes (the [tex]8+5+8=21[/tex] total marables).

P (draw a blue or red marable) [tex]= \frac{16}{21}[/tex] ≈ [tex]0.76[/tex]

Answer:

267.3 in.

Step-by-step explanation:

Using the Sine Rule:

90 / sin 60 = BC/ sin 50

BC = 90 sin 50 / sin 60 = 79.6 in.

Angle C = 180 - 50 - 60 = 70 degrees.

90 / sin 60 = AB / sin 70

AB =  90 sin 70 / sin 60 = 97.7 in.

So the perimeter = 90+ 79.6 + 97.7

= 267.3 in.

Answer: 267

Step-by-step explanation:

Answer:

1.971

Step-by-step explanation:

7.211 - 5.24 = 1.971

Answer:

1.971

Step-by-step explanation:

Temporarily add a zero at the end of 5.24, so both numbers have 3 decimal places.  We get"

7.211 - 5.240, or

   7.211

- 5.240

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

   1.971

Answer:

[tex]-6\cdot6\cdot6=-\underbrace{6\cdot6\cdot6}_{3}=-6^3[/tex]

Step-by-step explanation:

[tex]a^n=\underbrace{a\cdot a\cdot a\cdot a\cdot ...\cdot a}_{n}[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{Is 120\% of 100 larger than 100?}[/tex]

[tex]\boxed{\text{The answer is: YES it is larger than 100}}\checkmark[/tex]

[tex]\text{Reason}\downarrow\\\text{The word "of" means multiply in mathematical terms}\\\text{120\% = 1.2}\\\text{Re-ask yourself: Is 1.2}\times\text{100 larger than 100?}\\\bf{1.2\times100 = 120}\\\text{120 is LARGER/BIGGER than 100}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The recursive rule for account balance at the beginning of the nth month will be given by [tex]b_{1} = 100[/tex] and [tex]b_{n + 1} = b_{n} + 76[/tex] where, n = 1, 2, 3, .....

Step-by-step explanation:

On January 1, 2006, I have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every month, I deposit $75 in the account, beginning in January.

So, at the end of the month of January, the added amount to the account is $75 and 1% of $100 i.e. 1$.

Then, total $(75 + 1) = $76 is being added at the end of each month.

So, the recursive rule for account balance at the beginning of the nth month will be given by [tex]b_{1} = 100[/tex] and [tex]b_{n + 1} = b_{n} + 76[/tex] where, n = 1, 2, 3, ..... (Answer)

Answer:

a)  9-5 over 4-0  is the CORRECT OPTION.

Step-by-step explanation:

Here, according to the given information:

x   0        4

y    5        9

⇒ when x = 0, y = 5 or (0,5) is a given point on function.

and when x  = 4, y = 9 or  (4,9) is a given point on function.

Now, if two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

So, here taking   (a,b) and (c,d)  as  (0,5)  and (4,9):

[tex]S = (\frac{9-5}{4-0} )[/tex]

Hence,  9-5 over 4-0  is the CORRECT OPTION.

Answer:

The answer is the first option 9-5/4-0

Step-by-step explanation:

Answer: d

Step-by-step explanation:

The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.

Checking through the options, only option D has a non-factor of 90 as its numerator.

The probability of randomly selecting a purple marble from the bag can be determined by dividing the number of purple marbles by the total number of marbles in the bag. Option a, 1/10, cannot be the correct probability value.

In order to determine which probability value cannot be correct, we need to find the total number of marbles in the bag and subtract the number of white, black, and beige marbles from it. The remaining number will represent the number of purple marbles in the bag. Then, we can find the probability of randomly selecting a purple marble by dividing the number of purple marbles by the total number of marbles in the bag.

Total number of marbles = white + black + beige + purple = 20 + 30 + 40 + purple
Total number of marbles = 90 + purple

Now, we can check which of the given probability values cannot be correct:

Let's solve each equation to find the value of purple:

Solving these equations, we find that the probability values given in options b, c, and d are all possible probabilities. Therefore, the correct answer is option a, 1/10, which cannot be the probability of randomly selecting a purple marble from the bag.

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Answer:

16(9-3)

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

Answer:

16(9-3)

thats your answer, you have to be in kindergarden to not understand this

Answer: 9 is the coefficient and 'y' is the variable.

Step-by-step explanation:

Price of the book in her store is $ 25

Solution:

Given that, The bookstore buys a book for 20$

She marked up the price by 25% to sell it in her store

To find: Price of book in her store

From given,

Cost price = $ 20

Markup rate = 25 %

Which means, 25 % of $ 20 is markup price

[tex]Markup\ Price = 25 \% \text{ of } 20\\\\Markup\ Price = \frac{25}{100} \times 20\\\\Markup\ Price = 0.25 \times 20\\\\Markup\ Price = 5[/tex]

Thus markup price is $ 5

Price of the book in her store = cost price + markup price

Price of the book in her store = 20 + 5 = 25

Thus Price of the book in her store is $ 25

Answer:

B

Step-by-step explanation:

The graph shows "days" in the x-axis and "cost" in the y-axis.

It says he left the car at airport for 5 days, so we need to find the cost he paid for 5 days.

We have to look at "5" in the x-axis. There is 4 and 6 given, so 5 would be between these two numbers. Now, from x = 5, we draw an imaginary straight line upwards towards the red line. That will approximately cross a little over $24 but a little lower than $30.

So, the cost would be between 24 and 30, but closer to 24.

From the answer choices, we can clearly see that this will be $26.00, answer choice B is right.

Answer:

[tex]2\frac{1}{10}[/tex] km

Step-by-step explanation:

We are given;

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           [tex]=\frac{7}{10} *\frac{3}{1}[/tex]

           [tex]=\frac{21}{10}[/tex]

           [tex]=2\frac{1}{10} km[/tex] (improper fraction)

Thus, the length of the rectangular park is [tex]2\frac{1}{10}[/tex] km

The length of the parking lot is 21/10 kilometers. This is found by rearranging the formula of the rectangular area to solve for length, substituting the given values and simplifying.

The problem is about finding the length of a rectangle when we know the area and the width. The formula of the area for a rectangle is the product of its length times its width. In this case, the area of the parking lot is 7/10 square kilometers and the width is 1/3 kilometers. The formula becomes: Area = Length * Width .

From this we can solve for length by dividing the area by the width, thus: Length = Area / Width. Substituting the values, we get: Length = (7/10) / (1/3), which simplifies to Length = (7/10) * (3/1) = (21/10) km.

So the length of the parking lot is 21/10 kilometers, or 2.1 kilometers written in decimal form.

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64x^2-121

Rewrite 64x^2 as 8x^2

Rewrite 121 as 11^2

Now you have 8x^2-11^2

Use the difference of squares formula, a^2- b^2 = (a+ b)( a-b) where a= 8x and b = 11

Answer is:

(8x+11)(8x-11)

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=8x and b=11

.

(8x+11)(8x−11)

Step-by-step explanation:

Answer:

The value of the expression is 80.

Step-by-step explanation:

14 - 6 = 8.

10 x 8 = 80.

Answer: 80

Step-by-step explanation:

Your original equation is 10(n - 6)

You know what the value of n is: 14

Now go into your equation since the value of n is 14, replace n with 14 giving you the expression

10(14 - 6)

Now do the subtraction inside the parentheses

10(8) = 80

That should be your answer I hope this helps you :)

Answer:

C

Step-by-step explanation:

Do the oppsite to both sides, which is divide.

Answer:

7÷5

1.4×5

Solution

7÷5=1.4

1.4×5=7

Answer:

b/4+9

Step-by-step explanation:

y = 4x - 10 is the equation of line with slope of 4 and passes through the point (5, 10)

Solution:

A line has a slope of 4 and passes through the point (5, 10)

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that,  Slope = m = 4

The line passes thorugh (5, 10)

Substitute m = 4 and (x, y) = (5, 10) in eqn 1

10 = 4(5) + c

10 = 20 + c

c = -10

Substitute c = -10 and m = 4 in eqn 1

y = 4x - 10

Thus the equation of line in slope intercept form is found

Answer:

No

Step-by-step explanation: