A 16- ounce bottle of fresh water is $1.76. A 20-ounce bottle of spring water is $2.40. Which statement about the unit price is true?
A. Spring water has a lower unit price of $0.12/ounce
B. Fresh water has a lower unit price of $0.11/ounce
C. Fresh water has a lower unit price of $0.12/ounce
D. Spring water has a lower unit price of $0.11/ounce

[tex](5x+3)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(5x)^2+2(5x)(3)+3^2\\\\=5^2x^2+30x+9\\\\=25x^2+30x+9\to D.[/tex]

Answer:

option D is correct

The result in standard form is,

[tex]25x^2+30x+9[/tex]

Step-by-step explanation:

The standard form of the equation is given by:

[tex]y = Ax^2+Bx+C[/tex] where, A, B and C are the coefficient and x is the variable.

Using the identity rule:

[tex](a+b)^2 = a^2+2ab+b^2[/tex]

Expand the expression:

[tex](5x+3)^2[/tex]

Apply the identity rule:

[tex](5x)^2+2(5x)(3)+3^2[/tex]

⇒[tex]25x^2+30x+9[/tex]

The result in standard form is, [tex]25x^2+30x+9[/tex]

Therefore, the result in standard form is, [tex]25x^2+30x+9[/tex]

The correct answer is (2,−1)

varies directly formula: [tex]\frac{r}{s} = k[/tex]

[tex]\frac{r}{2} = 13[/tex]

[tex](2)\frac{r}{2} = (2)13[/tex]

r = 26

Answer:

The three digit natural number is 789.

Step-by-step explanation:

Let the fist digit be x

The second digit will be x + 1

The third digit will be x + 2

So x + x + 1 + x + 2 = 24

3x = 24 - 3

3x = 21

x = 7

The first digit is 7, the second digit is 8 and the third digit is 9

The three digit natural number is 789.

Outbound Trip 120 miles 60 mph equals 2 hours

Return Trip 120 miles

Total Trip 240 miles at 45 mph average speed

Total time = distance / rate = 240 / 45 = 5.3333333333 Hours

The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)

Return Trip Speed = 120 / 3.333333333 = 36 miles per hour

The car's speed on its return trip from B to A was approximately 36mph, based on the given average round trip speed and the speed of the trip from A to B.

The subject of this question is the calculation of an unknown speed during a return trip. Let's first calculate the total time of the round trip. The time taken to journey from A to B (we'll call this 'Time1') can be calculated by distance/speed, which equals 120 miles / 60mph, and that equals 2 hours.

The total round trip time (we'll call this 'Total Time') can be calculated by distance/speed, which equals 240 miles / 45mph, and that equals roughly 5.33 hours.

The time taken to return from B to A (we'll call this 'Time2') is the difference between 'Total Time' and 'Time1', which equals roughly 5.33 hours - 2 hours, equaling 3.33 hours.

The speed on the return trip ('Speed2') is the distance divided by Time2, so 120 miles / 3.33 hours equals approximately 36 miles per hour.

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Hey there!!

Given equation :

4x² - 2

And x is given by 3

Now substitute the value of 3 in the equation :

... 4×(3)² - 2

... 4×3×3 -  2

... 12×3 - 2

... 36 - 2

Hence, the answer is 34.

Hope my answer helps!

The required expression is 34 when evaluating the given expression for x = 3.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The expression is given in the question following as:

4x² - 2

We have to evaluate the expression given 4x² - 2 when x = 3

As per the question, we have

⇒ 4x² - 2

We can substitute the value of x = 3 into the expression to get:

⇒ 4(3)² - 2

⇒ 4(9) - 2

⇒ 36 - 2

Apply the subtraction operation, and we get

⇒ 34

Therefore, the result of the expression when x = 3 is 34.

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Final answer:

The maximum number of concrete blocks that the elevator can lift is 107.

Explanation:

To find the maximum number of concrete blocks that the elevator can lift, we need to divide the maximum weight the elevator can lift by the weight of each concrete block.

Maximum weight the elevator can lift = 4400 lbs
Weight of each concrete block = 41 lbs

Now, we can use the division operation to find the maximum number of concrete blocks:

Maximum number of concrete blocks = 4400 lbs ÷ 41 lbs ≈ 107.317

Since we cannot have a fraction of a concrete block, we can conclude that the maximum number of concrete blocks that the elevator can lift is 107.

3 has a value of 'ones'

0 has a value of 'tens'

9 has a value of 'hundreds'

5 has a value of 'thousands'

6 has a value of 'ten thousands'

Rounding up 6, its greater than 5 so add 1 to 7 and make all the other figures zero to give:

Answer = 800,000

Answer:

765,903 rounded to the nearest 10,000 is 770,000.

Step-by-step explanation:

If it were rounded to the nearest thousand it would be 766,000, but 6 is not rounded, so it has to be rounded up to the next 10,000.

Answer:

Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.

Step-by-step explanation:

Suppose, the number of eggs his restaurant needs is  [tex]x[/tex]

Ryo ordered 240% as many eggs as his restaurant needs. So, the number of eggs he ordered [tex]= x\times 240\% = x\times \frac{240}{100}= 2.4x[/tex]

For finding the fraction of the number of eggs his restaurant needs, we just need to divide "number of eggs ordered" by the "number of eggs needed".

So, the fraction will be:  [tex]\frac{2.4x}{x}= 2.4 = \frac{24}{10}= \frac{12}{5}[/tex]

That means, Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.

Ryo ordered 12/5 of the number of eggs his restaurant needs.

Given that Ryo accidentally ordered 240% percent as many eggs as his restaurant needs, to determine what fraction of the number of eggs his restaurant needs did Ryo order, the following calculation must be performed:

Therefore, Ryo ordered 12/5 of the number of eggs his restaurant needs.

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4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.

Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.

Hope it helped. :)

~Noodles~

I believe the answer is A. Plane

The answer is Plane or A

Final answer:

To find the cost of four tickets for each route, multiply the price matrix [150 160 180] by the matrix [4], giving [600 640 720] as the cost matrix for four tickets to Chicago, Boston, and Dallas respectively.

Explanation:

To find the cost of four tickets for each of the three routes from Atlanta (Chicago, Boston, and Dallas), we need to multiply the given matrix representing the prices of each route by a matrix that contains the number of tickets for each route. The cost matrix for one ticket is [150 160 180]. To calculate the cost for four tickets, we can multiply this matrix by a column matrix that has the value 4 for each route since we want to buy four tickets for each destination.

The column matrix will thus be [4] since we only have one column (for the number of tickets) and three rows (one for each destination). The multiplication process is straightforward:

[150 160 180] x [4] = [600 640 720]

So, the matrix representing the cost of four tickets to each destination is: [600 640 720].

Answer:

(4, -6)

Step-by-step explanation:

4x + y = 10

4x + (-6) = 10

4x - 6 = 10

4x = 16

x = 4

Answer:

e=±3√T

Step-by-step explanation:

Triangles ΔWXY and ΔWVZ are similar because they are both isosceles with two pairs of congruent angles and a shared vertex angle, which satisfies the AA similarity criterion.

To prove that triangles ΔWXY and ΔWVZ are similar, we need to establish that they have the same angle measures and their sides are proportional. Since we know ΔWXY and ΔWVZ are both isosceles triangles, they have two angles of equal measure. Specifically, the base angles of an isosceles triangle are congruent, therefore in ΔWXY, angles WYX and WXV are equal, and in ΔWVZ, angles WZV and WVZ are equal.

We also know that these triangles share the vertex angle at W, which means ΔWXY and ΔWVZ both have the angle W in common. This establishes that all corresponding angles between ΔWXY and ΔWVZ are congruent. Since both triangles are isosceles and have two pairs of congruent angles (base angles) and a common vertex angle, they are similar by the AA (Angle-Angle) similarity criterion. The ratio of the sides opposite the equal angles in isosceles triangles should be constant, thereby confirming the similarity.

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Answer:

it is about 15 yd

Step-by-step explanation:

add the squares. about 15 squares. Just got this correct

The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.

k = number of keychains

each keychain is $2.25

2.25k ≥ 180

divide both sides by 2.25 to get the k alone

k ≥ 80

The answer is 2.25k ≥ 180, k ≥ 80

(Hope this isn't confusing)

Answer:

?? separate the equation more because i don't understand

Step-by-step explanation:

-6 *3=-18 .          

xxxxxxxxxxxxxxxxxxxxx  

We are given

p: 1 is the multiplicative identity

Firstly, we will verify whether it is true

Multiplicative identity:

[tex]A \cdot 1=A[/tex]

Here , 1 is the multiplicative identity

So, 1 is multiplicative identity

so, statement p is true

q: a · 0 = a

we know that whenever we multiply any expression by 0

It will result in 0

so, this statement is false

now, we will verify each options

option-A:

p \/ q

so, we can plug

T \/ F = T

so, this is TRUE

option-B:

p /\ q

so, we can plug

T /\ F = F

so, this is FALSE

option-C:

p --> q

we can plug

T-->F = F

so, this is FALSE

The statements p \/ q (p OR q) is true since the proposition p is true and hence the whole OR operation is true, p /\ q (p AND q) and p --> q (p implies q) are false since the proposition q is false.

The given propositions are "p: 1 is the multiplicative identity" and q: a · 0 = a. Let's analyze each proposed relation among them:

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Let every line = 1 unit:

Point C is located at (0,0)

Point D is located at (7, 12)

The slope is the change in Y over the change in X:

Slope = 12-0 / 7-0 =  12/7

The equation of the line from C to D using mx +b:

m = slope, which we already calculated as 12/7

To solve for b, replace m with 12/7 to get

y=12/7x +b

replace x with 0 ( from point C )

y = 12/7(0) +b

Replace y with 0 (also from point C)

0 = 12/7(0)+b

Solve for b:

b = 0

The equation becomes y= 12/7x

The Domain is the X values, which range from A to E, -12 to 13

Which is written as (-12,13) or -12≤x≤13

The range is the Y values, which range from A to D, 0 , 12

Which is written as (0,12) or 0≤y≤12

Set up a proportion like 64/x = 80/100 and solve for x. x=80

Final answer:

Explaining how to write and solve the equation to find 80% of 64.

Explanation:

Write the equation: 64 = 0.80x, where x represents the unknown value.

Solve for x: Divide both sides by 0.80 to isolate x. x = 64 / 0.80 = 80, so 64 is 80% of 80.

Answer: 64 is 80% of 80.

One way is to create a factor tree for each number.  Then see which factors they have in common.

Example:

   12                30

   ^                  ^

2    6             3  10

      ^                   ^

    2  3               2  5

The factors are the underlined numbers above:

12: 2 x 2 x 3

30: 2 x 3 x 5

The common factors are: 2, 3, and 6    why 6? because 2 x 3 = 6

The greatest common factor is: 6

To find the common factors and the greatest common factor (GCF) of numbers, list all factors of each number, find the common ones, and identify the largest as the GCF. The factor-label method can simplify locating the GCF.

To find the common factors and the greatest common factor (GCF) of two numbers, you start by listing all the factors of each number. These are whole numbers that can divide the numbers without a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, and the factors of 18 are 1, 2, 3, 6, 9, and 18.

Common factors are factors that the two numbers share. In our example, the common factors of 12 and 18 are 1, 2, 3, and 6.

The greatest common factor (GCF) is the largest of these common factors. This helps in multiplication and division of numbers, particularly when simplifying fractions. Here, the GCF of 12 and 18 is 6.

To find the GCF more quickly, you can use the factor-label method. Divide both numbers by a common factor and continue this process with the resulting numbers until you can't find any common factors other than 1. The GCF is the product of all the common factors you used to divide.

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Answer:

The answer is 44%

Step-by-step explanation:

Answer:

Bonus of Brianna = 125 $

Explanation:

 Amount of Brianna's yearly bonus = 155$

 Amount taken away for each customer care complaint = 2.50$

 Number of complaints received against Brianna in the year = 12

 Total amount lost by Brianna due to complaint = 12*2.50 = 30$

 Amount of bonus received by Brianna after reduction of complaint loss = 155-30 = 125$

  Bonus of Brianna = 125 $

Answer: 125 dollars

Step-by-step explanation:

x-intercept (48,0)

y intercept(0,6)

  From the graph attached, Options (1) and (3) represent the correct points (local minimum and global maximum).

    If there are multiple peaks and troughs in the graph of a function, highest peak will be the global maximum and lowest point will be the global minimum.

 From the graph attached,

(4, 4) is the highest but the lowest point is in the infinity.

Therefore, (4, 4) will be the global maximum and no global minimum.

Other point in the trough (-2, -2) will be local minimum and the points on  peaks (0, 2) and (-4, 3) will be local maximum.

  Therefore, Options (1) and (3) will be the correct options.

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The true statements about the extrema of the graphed function are: Options (1) and (3).

The highest point on the graph is at (4, 4), and this will be considered the highest point overall, which we call the "global maximum."

As the graph appears to continue downward indefinitely. In such cases, we say there is no "global minimum" because there isn't a single lowest point that stands out.

There are also some points within the peaks and troughs of the graph:

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