Ranjit has $220.35 in his account before making any transactions. Over the course of the week, Ranjit makes the transactions shown. At the end of the week, how much is in Ranjit's account?

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

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The total cost of 3 one scoop sundaes and 2 two scoop sundaes by evaluating an expression  2.75(3)+ 4.25(2)  is 16.75.

An expression in two variables is a combination of  numbers and two variables using mathematical operation +,-,/,*. It will a linear expression when the maximum power of variables is only one in the expression.

Let x and y are two variables and a, b, c are some numbers. Then a linear two expression can be given by ax+ by+ c

Given the cost of one scoop sundae is 2.75 and a cost of a two scoop sundae is 4.25

Let the number of sundaes of one scoop sundae be x and the numbers of sundaes be y

Then the total cost of these sundaes is given as by expression 2.75x + 4.25y

Given that there are 3 one scoop sundaes and 2 two scoop sundaes

Thus, x= 3 and y = 2

Total cost  is given by expression= 2.75(3)+ 4.25(2)= 16.75

Therefore, he total cost of 3 one scoop sundaes and 2 two scoop sundaes    is 16.75

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Answer:

131.25 hope this helps

Step-by-step explanation:

use a calculator

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer: Therefore, the answer is (G) 1/2.

Step-by-step explanation:  Let's first express the perimeter of the square and the equilateral triangle in terms of x:

Perimeter of the square: 4(2x+2) = 8x + 8

Perimeter of the equilateral triangle: 3(4) = 12

Since the two shapes have equal perimeters, we can set the two expressions equal to each other and solve for x:

8x + 8 = 12

8x = 4

x = 1/2

Answer:

-6

Step-by-step explanation:

Answer:

x = 0.59 to the nearest hundredth

Step-by-step explanation:

Look at the attached figure

∵ There are 5 small squares between every 2 numbers on the x-axis

∴ Each square represents 0.2

∵ There are 5 small squares between every 2 numbers on the y-axis

∴ Each square represents 0.2

∵ The point of intersection between the 2 graphs is nearest to

   the 3rd small square after the zero on the x-axis

∵ 0.2 × 3 = 0.6

∴ The x-coordinate of the point is approximately located at 0.59

∴ x = 0.59 to the nearest hundredth

Levi pays $3.99 for her ride as per the values given in the problem.

A percentage is a value that indicates 100th part of any quantity. A percentage can be converted into a fraction or a decimal by dividing it by 100. In the same manner a fraction being multiplied by 100 becomes percent.

The charge for the uber ride is given as $19.95.

And, the percent value of the tip is 20%.

Now, the amount of tip can be calculated by taking the percent value of the total charge as follows,

20% × Uber charge for ride  

⇒ 20% × 19.95

⇒ 20/100 × 19.95

⇒ 3.99

Hence, the required money to be paid by Levi is given as $3.99.

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Answer:

C. 2000 years

Step-by-step explanation:

Data provided in the question

Half life = 1,000 years

Number of homer moles contained = 2

And, for lisa = 6

Based on the above information, the computation is shown below:

But before that we need to do the following calculations

Total moles by combing the homer and lisa is

= 2 moles + 6 moles

= 8 moles

Now the present fraction of homer is

\(= \frac{2\ moles}{8\ moles}\)

\(= \frac{1}{4}\)

\(= \frac{1}{2^2}\)

Therefore the approximate age of rocks is

\(= 1,000\ years \times 2\)

= 2,000 years

Hence, the correct option is c.

The random numbers can take any value randomly.

A simple random sample is selected in such a manner that each unit has the equal probability of being included in the sample.

The possible outcomes of the given experiment are

(1, 1)  ,(1, 2) , (1, 3) , (2, 1) , (2, 2) , (2, 3)                                      

The first procedure requires either one or two separate steps.

This means it cannot take the third step in the first procedure.

Let 1 take the first  and the second  step.

So if 1 occurs then 1,2,  can occur and 3 cannot occur.

Similarly

If 2 occurs then 1,2, and 3 can occur.

The second procedure requires either one, two, or three steps.

Therefore

Experimental Outcomes         Value of  x

(1)                                                         0   Not possible  2 process required

(2)                                                     0          Not possible

(3)                                                        0        Not possible

(1, 1)                                           2

(1, 2)                                          3

(1, 3)                                         4

(2, 1)                                        3

(2, 2)                                        4

(2, 3)                                       5

(3, 1)                                      0                  Not possible  process 1 cannot take 3

(3, 2)                                     0               Not possible

(3, 3)                                     0               Not possible

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Hi

let's call X amount of second going and Y the height reach by the ballon.

so Y=8X+94

f(x) = 8X+94

If you want to know how high will the ballon be in 25 seconds, remplace X by 25 and do the math. Have fun .

Answer:

I'm assuming you want to find the slope.

If so, the answer is: m = 4

Hope this helps! <3

Explanation:

The zero-factor property states that if ab=0, then either a = 0 or b = 0 (or both). A product of factors is zero if and only if one or more factors is zero.

From these options only B and D have factors, but B equals to 3. In D we have that (3x-2) = 0 or the other factor is zero (or both)

Answer:

The correct answer is option D

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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If x = -2 is a zero with a multiplicity of one, x = 3 is a zero with a multiplicity of two, and x = 1 is a zero with a multiplicity of one, then the polynomial can be written in factored form as:

\(f(x) = (x + 2)(x - 3)^2(x - 1)\)

To find the polynomial in expanded form, we can use the distributive property and the rules of exponents:

\(f(x) = (x + 2)(x - 3)(x - 3)(x - 1)\\= (x^2 - x - 6)(x - 3)(x - 1)\\= (x^3 - 4x^2 + 3x + 18)(x - 1)\\= x^4 - 5x^3 + 6x^2 + 4x + 18\)

Therefore, the polynomial that has a lead coefficient of one and exactly three distinct zeros, with x = -2 as a zero with multiplicity of one, x = 3 as a zero with multiplicity of two, and x = 1 as a zero with multiplicity of one, is:

\(f(x) = x^4 - 5x^3 + 6x^2 + 4x + 18\)

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Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

\( = \frac{15}{100} \times 1200 \\ = 180\)

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

Answer:

\(3x + 2y = 6 \\ 6 - 3x = 2y \\ y = \frac{6 - 3x}{2} \\ \\ thank \: you\)

Answer:

1). (0, 1)

2). (1, a)

3). Above

Step-by-step explanation:

This question is not complete; here is the complete question.

The graph of an exponential function of the form y = f(x) = \(a^{x}\) passes through the points 1).               and 2).              . The graph lies 3).             x-axis.

1). (0.a), (0,1), (0,2), (0,-1)

2). (1,0), (1,1), (1,a), (1,-2)

3). (above), (below), (on the)

Given exponential function is f(x) = \(a^{x}\)

1). For x = 0,

  f(0) = \(a^{0}\) = 1

  Therefore, the given exponential function passes through a point (0, 1).

2). For x = 1,

  f(1) = \(a^{1}\)

  f(1) = a

  Therefore, graph of the exponential function passes through (1, a)

3).For y = 0

  0 = \(a^{x}\)

  But for any value of 'x', f(x) will never be zero. Therefore, there is no x-intercept.

  The graph lies above the x-axis.

As the sum of the interior angles of a triangle equals 180°, we can build the following relation:

Replacing the expressions given:

Simplifying the equation we get:

Then, to get the value of each angle we have to substitute this value in each expression given.

• m∠K

• m∠L

• m∠M

Answer:

• Equation

• m∠K = 28°

• m∠L = 89°

• m∠M = 63°

9514 1404 393

Explanation:

The three Reasons tell you what to look for to put in the Statement blank.

1. We are given that RE = 2AR and RT = 2GR.

2. The only vertical angles in the figure are ...

  ∠GRA ≅ ∠TRE

3. Using the given relation between the sides, we can write the proportion ...

  RE/RA = RT/RG = 2

It is nice, though maybe not absolutely essential, to write the segment names in order of corresponding vertices.

4. Having shown that two sides are proportional and the angle between them is congruent, we can claim similarity using the SAS Theorem.

The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.

Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.

The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.

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Thus, the solution of the given cosine function is obtained for the angles-  θ = 30º and θ = 330º between the intervals of [0,2pi).

The ratio of the triangle's side next to the angle to the hypotenuse is known as the cosine function. Thus, the cosine function does have a period of 2π, we can say.

Normally, radians rather than degrees are used when examining the cosine function in this manner. The common unit of measurement for angles in mathematics is the radian. 360° is equivalent to two radians, or one full circle.

Given data:

1-cosθ = (2-√3)/2

cosθ = 1-(2-√3)/2

isolating the cosθ function:

cosθ = 1-(1-[√3/2])

cosθ = 1-1+√3/2

cosθ = √3/2

Now,

cos is  √3/2 for ∏/6 = 30º and for 11∏/6 = 330º (Interval - [0,2pi))

Thus, the solution of the given cosine function is obtained for the angles-

θ = 30º and θ = 330º between the intervals of [0,2pi).

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Answer:

76

Step-by-step explanation:

angle FGH = 120, angle FGV = 44, and angles VGH and FGV add up to angle FGH. These are the givens. Since VGH + FGV = FGH, then FGH - FGV = VGH. That can be rewritten as 120 - 44 = VGH. 120 - 44 = 76, so VGH = 76

We can make a drawing to see better:

In the picture above, we can see the sides AC and BC are equals because triangle ABC is isosceles, and also the segments AD and DB are equals for the same reason.

We can calculate the lenght of segment AD as:

With the lenght of segment AD we can calculate the lenght of AB as:

The correct answer is in yellow.

Answer:

y=-2

Step-by-step explanation:

5 (y-1)+6= -9

Subtract 6 from each side

5 (y-1)+6-6= -9-6

5 ( y-1) = -15

Divide by 5

5(y-1)/5 = -15/5

y-1 = -3

Add 1 to each side

y-1+1 = -3+1

y = -2

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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