Pilar paid $2.40 for 2 cans of dog food at the pet store. leo visited the same pet store and spent $3.60 on 3 cans of dog food. write an equation to represent the proportional relationship between cans of dog food, x, and total cost, y.

Assuming a linear relationship, the missing value in the table above is equal to 3.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

By critically observing the values in the table above, we can logically deduce that there exist a linear relationship between the data set. Therefore, the value of x increases by 1 while the value of y increases by 3.

Also, we can determine the slope of the given data set as follows:

Slope = Δy/Δx

Slope = (7 - 4)/(2 - 1)

Slope = 3/1

Slope = 3.

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The area and perimeter of the triangle are:

B. 12x; 5x + 14

The area of the triangle in the image is calculated using the formula, area = 1/2(b)(h), where:

Substitute

Area of the triangle = 1/2(8)(3x)

Area of the triangle = 4(3x)

Area of the triangle = 12x units²

The perimeter of the triangle in the image is calculated by adding the length of all three sides of the triangle, which is:

Perimeter = (x + 9) + 8 + (4x - 3)

Perimeter = x + 9 + 8 + 4x - 3

Combine like terms

Perimeter = 5x + 14 units

In conclusion: the area and perimeter of the triangle are:

B. 12x; 5x + 14

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Answer:

x = 28.75

Step-by-step explanation:

RZ and RT will have the same length since Z is a midpoint

8x - 10 = 220

Add 10 to both sides

8x = 230

Divide both sides by 8

x = 28.75

Answer:

Step-by-step explanation:

Answer:

It will cost $1,645 to recarpet the room

Step-by-step explanation:

room 5 meters by 7 meters is 35 m^2

Therefore, 35*47.00 = $1,645

Answer: (^ represents the exponent)

a) 10^x-1

b) 10^4x

c) c^6

Step-by-step explanation:

a) When you divide powers, you subtract their exponents. Since c = 10^x and it is being divided by 10^1, it would be the equivalent of 10^x-1

b) c= 10^x. c^4 would be equal to (10^x)^4 or [tex](10^{x})^{4}[/tex]. When powers are placed this way, you multiply their exponents. For instance [tex](3^{2})^{4}[/tex] would be [tex]3^{8}[/tex].

C) This is the same concept as part b, but reversed. 10^6x is equal to (10^x)^6, which is equal to c^6.

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.

For example:

If we are measuring the difference in distance of two points below sea level.

One point is at -6 feet

Another point is at -14 feet

The difference between these points is:

= -14 - (-6)

= -14 + 6

= -8

We can have a negative difference in elevation but the absolute value will always give a positive value.

Therefore,

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

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Expanded form of logarithm  log√x²-4 / (x+3)² is 1/2log(x²-4)-2log (x+3).

By considering the given logarithm function

log√x²-4 / (x+3)²

log√x²-4 -log (x+3)²

1/2log(x²-4)-2log (x+3)

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.

Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).

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Answer:

[tex] \frac{2b}{a} [/tex]

Step-by-step explanation:

[tex] \frac{2}{a} \div \frac{1}{b} [/tex]

[tex]\frac{2}{a} \: \times \:b[/tex]

[tex] \frac{2b}{a} [/tex]

The 50% value is 13.

The longest hours studied is 20.

The shortest hours studied is 5.

The 75% number is 17.

The five number summary is the summary of a dataset that contains information on the minimum number, the 25th percentile, the median, the 75th percentile and the maximum number.

The median is the number at the center of the dataset. The median is 13. The maximum number provides information on the longest number of hours studies. The  minimum  number is the shortest number studied by anyone. The minimum number is 5. The 75th percentile is 17.

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The number of adult tickets sold for $50 is 990 and the number of children tickets sold for $10 is  450

How do we represent adult tickets and children's tickets?

The adult tickets can be represented by x whereas the children's tickets are represented by y, hence, the sum of x and y gives 1440 tickets

x+y=1440.......... equation 1

50x+10y=54000........ equation 2

solve for x in equation 1

x=1440-y

substitute for x in equation 2

50(1440-y)+10y=54000

72000-50y+10y=54000

72000-54000=50y-10y

18000=40y

y=18000/40

y=450

x+y=1440

x+450=1440

x=1440-450

x=990

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The functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

We are given that:

Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.

If a customer registers for the store member, he get a discount = 15 %.

Now, let the regular priced CD purchased be x and the application for store member be y.

So, the functions will become:

For rebate:

R (x) = 5 x

For discount:

M (y) = 15 % of x

M (y) = 0.15 x

Therefore, we get that, the functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

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Answer: 2014 was a great year for my family

Step-by-step explanation:

2014; my family came together that year

2015; my family fell apart that year

The circumference of the circle with the radius is 50.24 inches

The figure represents the given parameter

On the figure, we have the diameter (d) to be

d = 16 inches

The radius of the circle is calculated using

r = d/2

So, we have

r = 16/2

Evaluate the quotient

r = 8

The circumference of the circle is then calculated as

C = 2πr

Where π is given as

π = 3.14

So, we have

C = 2 * 3.14 * 8

Evaluate the product

C = 50.24

Evaluate the product

C = 50.24

Hence, the circumference of the circle with the radius is 50.24 inches

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Answer: 3, -1, 1/2, -1/2, 3

Step-by-step explanation:

The common ratio is the number you must multiply the preceding term by to get the next term.

No , investing $ 2000 in an account that pays 5% annual interest compounded continuously is not same as investing $ 1000 at 4 % and $ 1000 at 6% .

It is given that principal is $2000 , annual interest rate is 5 % , time is 1 years

Putting [tex]P=\$2000 , \ r= 5\% , \ t=1 \ year[/tex] in equation (1) , we get

          [tex]A=2000\times 2.71^{0.5 \times 1}\\A=2000\times 2.71^{0.5}\\ \ A=2000\times1.64872 \\A =\$3297.44[/tex]

It is given that principal is $1000 , annual interest rate is 4 % , time is 1 years

Putting [tex]P=\$1000 , \ r= 4\% , \ t=1 \ year[/tex] in equation (1) , we get

        [tex]A=1000\times 2.71^{0.4 \times 1}\\A=1000\times 2.71^{0.4}\\ \ A=1000\times1.49182 \\A =\$1491.82[/tex]

It is given that principal is $1000 , annual interest rate is 6 % , time is 1 years

Putting [tex]P=\$1000 , \ r= 6\% , \ t=1 \ year[/tex] in equation (1) , we get

          [tex]A=1000\times 2.71^{0.6 \times 1}\\A=1000\times 2.71^{0.6}\\ \ A=1000\times1.82211 \\A =\$1822.11[/tex]

Adding the above amounts , we get

[tex]A=1491.82+1822.11=\$3313.93\neq 3297.44[/tex]

which is not equal to amount investing $ 2000 in an account that pays 5% annual interest compounded continuously .

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Answer:

B

Step-by-step explanation:

the total number of adult/ children tickets sold was 95 , then

a + c = 95

the ticket sales totalled $1380 , then

9a + 16c = 1380

the system of equations is

a + c = 95 , 9a + 16c = 1380

The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

The average elevation of Louisiana denoted as an integer is -8 feet.

An integer is a real number which is not a fraction. Examples of integers are -4,0,7,26.

The elevation above sea-level of a place is represented by a number and it is calculated by length above or below the average water level of all water bodies on earth.

Places above sea level are denoted by a positive numbers while places below the average sea-level are denoted by negative numbers.

Here the height of Louisiana is 8 feet below the sea-level , so to denote the height of Louisiana we us the negative integer -8 feet.

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Answer:

5/32, 5/64, 5/128

Step-by-step explanation:

Multiply the denominator by 2

Answer:

I think it's an error it should be correct and in the right spot or whatever it an error

1.9 pounds of metal was refused of her collection.

Given that

To find

So according to the question

We have,

For finding the remaining metal of her collection, we have to subtract the metal buy by recycling center from her total collection

So, we can say that

        remaining metal = her total collection - he metal buy by recycling center

Now, putting the values from question

        remaining metal = 20.3 - 18.4

                                    = 1.9 pounds of metal.

Answer:

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Answer:

liam will have 7 chairs leftover

Step-by-step explanation:

Answer:

X=1

Search it up on a calculator next time

Answer:

solution:

x=1

Step-by-step explanation:

2x + 6=4x+4

2x -4x +6-4=0

-2x +2 =0

-2x = -2

x = -2/-2

× = 1

The value of the expression [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] after rationalizing the denominator is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a square root or a cube root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

Now, let [tex]y=\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by √5.

[tex]y=\frac{2+\sqrt{5} }{\sqrt{5} } \times \frac{\sqrt{5} }{\sqrt{5} }[/tex]

[tex]y=\frac{2\sqrt{5}+(\sqrt{5} )^{2} }{(\sqrt{5} )^{2}}[/tex]

[tex]y=\frac{2\sqrt{5}+5 }{5}[/tex]

The value of the expression when rationalized [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

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Answer:

I believe b but not 100%

Step-by-step explanation:

xoxo

Answer:

Bro Im not gonna give u answer but im gonna give hint. I think u should make a chart with all possibilties and see how many of them can add upt o 11.

Answer:

a

Step-by-step explanation:

Answer:

9/24 and 21/56

Step-by-step explanation:

9/24 = 0.375 or 3/8

21/56 = 0.375 or 3/8