Lucy buys 1.4 pounds of dog food. If each pound of dog food costs $2.70, how much will she pay for the dog food?

Answer:

Both A and B are true identities

Step-by-step explanation:

A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

 n ( n − 2 ) ( n + 2 ) = n(n² - 2²)     (difference of two squares)

                               = n³ - 2²n       (expanding the brackets)

                               = n³ - 4n         (simplifying)

So,                L.H.S  = R.H.S

B. ( x + 1 )² − 2x + y² = x² + y² + 1

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y²   (expanding the brackets)

                             = x² + 2x - 2x + 1  + y²   (collecting like terms)

                             = x² + 1 + y²        

                             = x² + y² + 1                    (re-arranging)

So,              L.H.S  = R.H.S

So, both A and B are true identities since we have been able to show that L.H.S  = R.H.S in both situations.

Answer:

Mean x¯¯¯ 5

Median x˜ 5

Mode 6

Range 6

Minimum 2

Maximum 8

Count n 10

Sum 50

Quartiles Quartiles:

Q1 --> 3

Q2 --> 5

Q3 --> 6

Interquartile

Range IQR 3

Step-by-step explanation:

The value of "a" for a narrow graph will be equal to 7.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

GIven functions are:-

f(x)   =   ax²

f(x)   =   7

At the value of a=7 the graph of function f(x) =  7x² opens upward and is narrower than the graph of f(x) = x².

Hence the value of "a" for a narrow graph will be equal to 7.

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Answer: lesser x = 3.76 & greater x = 8.24

Step-by-step explanation: just took the test

For the given quadratic equation lesser x=3.765 and greater x=8.235.

The given quadratic equation is (x-6)²-5=0.

We need to find the solutions from least to greatest.

The formula to find the solution to the quadratic equation is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac }}{2a}[/tex].

Now, (x-6)²-5=0 can be written as x²-12x+31=0

Here, a=1, b=-12 and c=31

x=(12±√20)/2

⇒x=(12±4.47)/2

⇒x=3.765 or x=8.235

Therefore, lesser x=3.765 and greater x=8.235.

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-7x+6

thats the answer have fun:)

Answer:

5

Step-by-step explanation:

if you divide 15 by 3 you get 5

Step-by-step explanation:

Answer:

a) per year

Step-by-step explanation:

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

Answer:

write a note or letter , or just be gutsy and... tell them face to face if it doesn't work out just say it was a joke or there a joke , I mean the worst would be like her socking u in the face. so‍♀️

Step-by-step explanation:

DO IT I BELIEVE IN YOU

Answer:

D

Step-by-step explanation:

Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CA}{BE}[/tex] = [tex]\frac{DA}{AE}[/tex] , substitute values

[tex]\frac{18}{10}[/tex] = [tex]\frac{x+8}{8}[/tex] ( cross- multiply )

10(x + 8) = 144 ( divide both sides by 10 )

x + 8 = 14.4 ( subtract 8 from both sides )

x = 6.4 → D

The value of x is the length of BD, so x = 6.So, The correct answer is C. 6.

The value of x is the length of the altitude from vertex B to side AC. We can find this length by using the Pythagorean Theorem on right triangle ABD.

[tex]AB^2 + BD^2 = AD^2\\8^2 + BD^2 = 10^2\\BD^2 = 36\\BD = 6[/tex]

The altitude from vertex B to side AC is equal to the length of BD, so x = 6.

Here is a breakdown of the steps involved in solving for x:

We are given the lengths of sides AB and AC of triangle ABC.

We know that the altitude from vertex B to side AC will be perpendicular to side AC. We can use the Pythagorean Theorem on right triangle ABD to find the length of BD, which is the altitude from vertex B to side AC.

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Answer:

no because

Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

-6/3 is not an integer.

A number system is defined as a system of writing to express numbers.

We need to check whether -6/3 is a integer or not .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

The given number is a fraction which is not comes under the integers.

All whole numbers are integers but  but not all integers are whole numbers or natural numbers.

If the fraction is simplified we get -2 which will be an integer but the fraction form is not considered as integer.

Hence, -6/3 is not an integer.

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Answer:

160 plastic cubes

Step-by-step explanation:

first find the volume the box can hold so,

4 x 2.5 x 2 = 20ft^3

from their find the volume of each plastic cube so,

.5 x .5 x .5 = .125ft^3

then you can divide the volume of the box by the volume of the plastic cube to see how many will fit

20 ÷ 0.125 = 160 plastic cubes

Answer:

160 ;)

from k12

The weight in grams of the liquid in the container is required.

The weight in grams of the liquid that fills the container is 24.68 grams. The calculations to find this value is shown below.

V = Volume of liquid in the container = 182.8 milliliter

[tex]\rho[/tex] = Density of liquid = 0.135 grams over milliliter

The relation between volume, mass and density is given by

[tex]m=\rho V\\\Rightarrow m=0.135\times 182.8\\\Rightarrow m=24.678\approx 24.68\ \text{grams}[/tex]

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Answer:

if there both negatives it should only be one i believe. not sure though

Answer:

47378.31625 Liters

Step-by-step explanation:

A fountain holds 12500 7/8 gallons of water. Joe wants to calculate how many liters that is. Which proportion could he use to solve for the number of liters? (1 gal = 3.79 L)

From the above question,

1 gallon = 3.79 Liters

12500 7/8 gallons = x Liters

Cross Multiply

x Liters = 12500 7/8 × 3.79 Liters

x = 47378.31625 Liters

Therefore, the number of liters of water in the fountain is 47378.31625 Liters

formula 50 + 10 + x = 180

Answer:

7

Step-by-step explanation:

Ok so I have to assume that 10 is the base area, but honestly, I can't know for sure.

Answer:

14

Step-by-step explanation:

Lets break it down.

5 1/4 = 5 2/8 = 42/8

So great now we have 42/8

42 divided by 3 (the amount of frosting needed)

You get 14

Jasmine can make 14 cupcakes

Hope it helps :)

Answer:

d. 14 pieces

Step-by-step explanation:

3.5 ÷ 25 = 0.14 = 14

cuz the 0. doesn't have a value

Answer:

Answer would be D. $150

Step-by-step explanation:

If $500 is the amount invested at $3 simple interest, that would be $15 every year. Take 15 and times it by the 10 years, and that would be $150 for 10 years.

Therefore the answer is D, $150.

Hope this helped.

Answer:

figure it out lol

Step-by-step explanation:

u got oofed

Answer:

Step-by-step explanation:

The common ratio is a constant found by dividing any term by the previous term.

10/30=1/3

103/10=10.3

Since those fractions are not equal this is NOT a geometric sequence.

Answer:

I honestly don't quite understand the question but here is the pattern of the sequence.

Each time the number is added, the number that is being added raises by one. For example:

1+2=3

3+3=6

6+4=10

10+5=15

and so on so the name would be the next consecutive number added.

Sorry I couldn't directly answer your question. Hope this helps!

The product of the expression modeled by the tiles is likely to be (x + 1)(x + 3).

An expression in mathematics is a combination of numbers, variables, and operators that represent a value or a relationship between values. Expressions can be simple or complex, and they can be used to perform mathematical operations or to represent mathematical concepts. For example, the expression 2 + 3 is a simple expression that represents the sum of 2 and 3. The expression x + y is a more complex expression that contains variables, which can take on different values. The expression (x + y)² represents the square of the sum of x and y. In general, an expression can be evaluated to find its value. For example, if we assign the value of 3 to x and the value of 4 to y, then the expression (x + y)²  can be evaluated as (3 + 4)^2 = 7² = 49. Expressions play a fundamental role in mathematics, and they are used in a wide range of mathematical concepts, including algebra, calculus, and geometry.

Here,

This can be deduced from the fact that two tiles with the same x term are placed next to each other and the other two tiles have a constant term.

The product of these two tiles would then be expression (x + 1)(x + 3).

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