Which rational number represents the number of months that Callie has to pay off the bill? what does the sign on the number mean?

Answer:

the fourth option is correct

Step-by-step explanation:

the first equation represents that the cost of 6 bananas is the same as the cost of nine apples. therefore, y is the cost of a single banana and x is the cost of a single apple. the second equation represents the situation of you buying 4 bananas and 2 apples for $8. If x and y represent the cost of each fruit, then the point (x,y) = (1,1.5) means that x, the cost of an apple, is $1.00 and that y, the cost of a banana, is $1.50.

The slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The correct equation is given below.

−4x − 3y = 3

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line will be

−4x − 3y = 3

Then the equation of a line can be written as

4x + 3y = −3

       3y = −4x − 3

         y = −(4/3)x − 1

Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The graph is given below.

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Answer:

Calculator soup can help just search for whatever your learning and add a calculator at the end

The system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b

For the broken line, the coordinate points will be(0, 3) and (3, 0)

m = -3/3

m = -1

The equation of the line will be y >  -x + 3

For the solid line, the coordinate points will be(0, -2) and (1, 0)

m = 2/1

m = 2

The equation of the line will be y ≤  2x - 2

Hence the system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

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The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

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Answer:

3 hours 9 minutes

Answer:

The answer should be D.

Answer:

Step-by-step explanation:

The number of laps that Swimmer A swam was 50 laps.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we suppose that:

Swimmer A swam x laps

Swimmer B swam y laps.

Then, according to the given data, we have:

x    +    y   =   175   laps

y    =   25   +  2x  

(25 more than twice of laps of A is the number of laps of B).

Thus, we get a system of two equations:

x   +   25  +  2x  =   175

3x   +  25    =   175

3x   =   175  -  25  =  150

x   =   50

As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.

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Answer:

Ally

Step-by-step explanation:

The fastest time of the race will be the one lesser in value.

=============================================================

Comparing the tenths place :

⇒ Jill = 8 in the tenths place

⇒ Ally = 8 in the tenths place

⇒ Maria = 9 in the tenths place

Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.

===========================================================

Comparing the hundredths place (for Jill and Ally) :

⇒ Jill = 7 in the hundredths place

⇒ Ally = 2 in the hundredths place

Since Ally has the lower hundredths' place value, she has the fastest time.

#1

Volume

#2

Radius=10/2=5cm

Volume

#3

Volume

#4

#5

radius=8/2=4

Volume

Answer:

1)  314 cm³

2)  523.33 cm³

3)  87.92 in³

4)  11 cm

5)  502.4 cm³

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 5^2 \cdot 4\\& = 3.14 \cdot 25 \cdot 4\\& = 3.14 \cdot 100\\& = 314 \: \sf cm^3\end{aligned}[/tex]

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =\dfrac{4}{3} \cdot 3.14 \cdot 5^3 \\& =\dfrac{4}{3} \cdot 3.14 \cdot 125 \\& =\dfrac{500}{3} \cdot 3.14 \\& = 523.33\: \sf cm^3\:(2\:dp)\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 2^2 \cdot 7\\& = 3.14 \cdot 4 \cdot 7\\& = 3.14 \cdot 28\\& = 87.92\: \sf in^3\end{aligned}[/tex]

[tex]\textsf{Volume of a square pyramid}=\sf \dfrac{1}{3} a^2h \quad\textsf{(where a is the base edge and h is the height)}[/tex][tex]\textsf{Area of base of square pyramid}=\sf a^2 \quad\textsf{(where a is the base edge)}[/tex]

Given:

[tex]\implies 81=a^2[/tex]

[tex]\implies a=\sqrt{81}[/tex]

[tex]\implies a=9\: \sf cm[/tex]

Substitute the given values into the formula and solve for h:

[tex]\begin{aligned}\implies \textsf{297} & =\dfrac{1}{3} \cdot 9^2 \cdot h\\\\297 & =\dfrac{81}{3} h\\\\891 & =81 h\\\\h & = 11 \: \sf cm\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 4^2 \cdot 10\\& = 3.14 \cdot 16 \cdot 10\\& = 3.14 \cdot 160\\& = 502.4\: \sf cm^3\end{aligned}[/tex]

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

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Answer:

No, right answer is = 1017.36

Answer:

1017.36

Step-by-step explanation:

All your work is correct, but the final answer is not. In the problem it says to use 3.14 as pi, but when you multiplied you did:

[tex]\pi * 6^{2}*9 = 1017.88[/tex]

instead of

[tex]3.14*6^{2}*9 = 1017.36[/tex]

like you had written above. So the final is actually supposed to be 1017.36

Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

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Answer: -2

Step-by-step explanation: The answer is -2 because -1 x 8 = -8, and -8 x 4 = -32. Because multiplying two negatives cancels out and becomes positive, we can apply this same principle and figure out that -32 x -2 would give us positive 64. Hope this helps!

The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.

A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.

Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:

y(x) = (1/3)ˣ

substituting the values of x into the equation, we have:

y(-3) = (1/3) ⁻³ = 27

x = -2; thus

y(-2) =  (1/3) ⁻³ = 9

x = -1; thus

y(-1) =  (1/3) ⁻³ = 3

x = 0; thus

y(0) =  (1/3) ⁻⁰ = 1

x = 1; thus

y(1) =  (1/3) ¹ = 1/3

x = 2; thus

y(2) =  (1/3) ⁻² = 1/9

x = 3; thus

y(3) =  (1/3) ⁻³ = 1/27

Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y  = bˣ is table 2.

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Answer:

Mr. Garcia had 5 kilograms of blueberries at first

Step-by-step explanation:

to make this easiest, we can imagine that we're undoing mr. garcia's actions.

So, we can start by 'unpacking' mr garcia's bags

we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags

(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)

so,

1/4  x 9 = 9/4

(9 = 9/1 [if that is how you're used to multiplying a fraction])

Then, he also sold 2 3/4 kilograms

so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first

2 3/4 + 9/4 =  2 + 12/4

(12/4 = 3)

2 + 3 = 5

So, Mr. Garcia had 5 kilograms of blueberries at first

Answer:

Its Option C.

Step-by-step explanation:

I took this quiz and got this correct, atleast I think...??

To solve the theorem, we will  take the square of the longest side of a right triangle and equate to the sum of the squares of the other two sides

Pythagoras theorem states that the square of the longest side of a right triangle is equal to the sum of the squares of the other two sides

For instance, let;

According to the theorem above, mathematically;

c² = a² + b²

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Suppose that a sample is taken from a population whose mean value is 45,   the sample mean will approach

[tex]\mu=45[/tex]

Generally, the equation for the standard deviation is mathematically given as

Standard deviation sample mean  [tex]\mu = \frac{\sigma}{\sqrt{n}}[/tex]

Therefore, where a population whose mean value is 45 for any sample

size, Hence mean of the sample mean is

[tex]\mu = \=x[/tex]

[tex]\mu=45[/tex]

In conclusion, the value the sample mean approach is

[tex]\mu=45[/tex]

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Answer:

1.8 ounces

Step-by-step explanation:

Let :

⇒ weight of a can of juice = x

⇒ weight of an energy bar = y

=============================================================

Equations formed :

============================================================

Multiply Equation 1 by 2 :

⇒ 2 × (3x + 2y) = 2 × 33.6

⇒ 6x + 4y = 67.2 [Equation 3]

===========================================================

Subtract : Equation 3 - Equation 2

⇒ 6x + 4y - 4y - 2x = 67.2 - 27.2

⇒ 4x = 40

⇒ x = 10

===========================================================

Finding the weight of an energy bar :

⇒ 3(10) + 2y = 33.6

⇒ 2y = 3.6

⇒ y = 1.8 ounces

Answer:

-8

Step-by-step explanation:

If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.

Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.

The value of equation - 4 (3x - 4y) will be;

⇒ - 4 (3x - 4y) = - 8

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The true equation is,

⇒ 3x - 4y = 2

Now,

Since, The true equation is,

⇒ 3x - 4y = 2   .. (i)

Hence, The value of equation - 4 (3x - 4y) is,

⇒ - 4 (3x - 4y)

Substitute from (i), we get;

⇒ - 4 (3x - 4y) = - 4 × 2

                      = - 8

Thus, The value of equation - 4 (3x - 4y) = - 8

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Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:

g = C · (r/100)     (1)

Where:

If we know that g = 1500 and r = 3.1/12, then the invested money must be:

C = 100 · g/r

C = 100 · [1500/(3.1/12)]

C = 580645.16

Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

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The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6

The solution sets on the number line are given as:

x = {-8, -4}

Calculate the average of the solutions

Mean = (-8 - 4)/2

Mean = -6

Calculate the difference of the solutions divided by 2

Difference  = (-4 + 8)/2

Difference = 2

The absolute value equation is the represented as:

|Difference - x | = Mean

Substitute known values

|2 - x| = -6

Hence, the absolute value equation is |2 - x| = -6

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Answer:

|b+6|=2

Step-by-step explanation:

The dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.

From the information, given that the vertical line and a horizontal lines combined to form the L shape.

Row 1 has entries 2, 10, 1, 5.

Row 2 has entries -10, 0, -5.

In this situation, entry -5 is outside to the let of the shape.

Here, the dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.

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Answer:

step 1: 2 Step 2: 1

Step-by-step explanation:

Step 3: 2, -1, -2

Complete the division. The remainder is 0. The quotient is x^2 - x - 12.

Answer:

I think Option C is the correct answer

I think it will help you.

Answer:

about 127.28 feet

Step-by-step explanation:

The length of the hypotenuse of a right triangle with a base and a height of 90 feet each.

root (90)^2 + (90)^2

Answer:

The answer is c

Step-by-step explanation:

one add the numbers 108 & 96=204

then add the numbers from c which is 30+30=60 43+43=86 29+29=58

then add 60+86+58 which will be 204 so c is the answer your welcome

come

A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A number is divided in the ratio of 5:9. If the first part is 35, then we need to find the number.​

By unitary method

5x = 35

x = 7

Then the other number will be

9x = 9(7)

= 63

Thus, A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.

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