See attached pic for problem. Has 2 parts- A and B

As given by the question

There are given that the the regular price is $15.99

Now,

If 40% off for today, then the price will be:

Then,

Hence, the price of pizza for toda is $9.59.

Answer:

between 6 and 7

Step-by-step explanation:

√39 = 6.244... which is between 6 and 7

also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.

Answer:

Product of given question is 6√5

Step-by-step explanation:

Given:

3√2(√10)

Find:

Product.

Computation:

⇒ 3√2(√10)

⇒ 3√20

⇒ 3√4×5

⇒ 3√2×2×5

⇒ 3×2√5

⇒ 6√5

Product of given question is 6√5

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

Read more about graphs at:

brainly.com/question/9353377

#SPJ9

To solve this problem, we need to use vector addition to find the resultant velocity of Julia.

Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.

The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.

The velocity of the river is 3 km/hr in the negative y-axis direction.

To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.

Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:

|V| = √(Vx² + Vy²)

where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.

Vx = 8 km/hr

Vy = -3 km/hr

|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr

The direction of the resultant velocity can be calculated as:

θ = tan⁻¹(Vy / Vx)

θ = tan⁻¹(-3 / 8) = -20.56°

The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).

Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer:

3:5

Step-by-step explanation:

To find the simplest ratio, divide each number by 2:

6/2

= 3

10/2

= 5

So, the simplest ratio of triangles to squares is 3:5

Answer:

42-9×9+64

=42-81+64

= 106-81

=25

The midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.

Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:

D = (B + C) / 2

E = (A + C) / 2

F = (A + B) / 2

To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:

1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)

Expanding the equation further:

1/3(a + b + c) = 1/3(3F - 2D - E + b + c)

= (F - (2/3)D - (1/3)E) + (1/3)(b + c)

Therefore, the point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

Substituting the midpoints:

P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)

= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)

= (b + c - B - C) / 2 + (1/3)(b + c)

Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

For such more questions on midpoint of three points.

https://brainly.com/question/18226052

#SPJ11

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The limit of Un as n approaches infinity is equal to 1/2(1+√5), confirming the given statement.

To prove that the limit of Un as n approaches infinity is equal to 1/2(1+√5), we can use the concept of limits and apply algebraic manipulation.

First, let's assume that the limit of Un as n approaches infinity is L. Mathematically, we can write:

lim (n→∞) Un = L

Since the given recurrence relation states that Un+1 = √(Un + 1)₁, we can substitute n+1 for n in the recurrence relation:

lim (n→∞) Un+1 = √(lim (n→∞) Un + 1)₁

Since the limit of Un as n approaches infinity is L, we can rewrite the equation as:

L = √(L + 1)₁

To solve for L, we can square both sides:

L^2 = L + 1

Rearranging the equation, we have:

L^2 - L - 1 = 0

This is a quadratic equation. By solving it using the quadratic formula, we find two possible values for L:

L = [1 ± √(1 + 4)] / 2

Simplifying the expression, we get:

L = [1 ± √5] / 2

The positive value, L = (1 + √5) / 2, corresponds to the golden ratio, which is approximately 1.618. The negative value can be ignored as the limit of Un cannot be negative.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer: 45

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 99 - 54 or 45. So the range of this data set is 45.

Answer:

Step-by-step explanation:

Given data:

83 , 71 , 62 , 86 , 90 , 95 , 61 , 60 , 87 , 72 , 95 , 74 , 82 , 54 , 99 , 62 , 78 , 76 , 84 , 92

largest value = 99

Smallest value = 54

Let's find the range:

Range = Largest value - smallest value

= 99 - 54

= 45

Extra information:

Range

It is the simple method of measuring the variations. A range is defined as the difference between the largest and the smallest value of distribution. If the data are arranged in ascending or descending order, then the difference between the largest and smallest value is called the range.

The range is defined by

Range = Largest value - smallest value i.e ( highest value - lowest value )

= L - S

Range is the absolute measure of dispersion = L - S

Thus, if a₁ , a₂ , a₃ ...............aₙ are n term in a sequence arranged in ascending order, the range is given by

R = aₙ - a₁ where a₁ is the smallest value and aₙ is the highest value or R = L - S , where L is the largest value and S is the smallest value.

Hope I helped!

Best regards!

Answer:

\(\huge\boxed{\text{2 hours, 54 minutes, and 58 seconds}}\)

Step-by-step explanation:

Logan can complete 1/5 of the job each hour, and Angis can complete 1/7 of the job each hour.  Thus, together, they complete 12/35 of the job per hour: (1/5 + 1/7 = 7/35 + 5/35 = 12/35).

In one hour they complete 12/35 of the job, so:

1 hour * 35 = 12/35 jobs

35 hours = 12 jobs

35 hours / 12 = 1 job

2.916 hours = 1 job

.916 hours = 54.96 minutes

.96 minutes = 57.6 seconds ≈ 58 seconds

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Step-by-step explanation:

Given expression:

It is the product of two factors, in other words it has two factors:

Correct choice is A

Step-by-step explanation:

Given expression = 5(m - 1)

5(m - 1) = 0

So, the factors are

5 and (m - 1)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Complete question is;

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes

Answer:

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

Step-by-step explanation:

From the study, the claim is that the true average number of minutes gotten from the population average in the past month that the adults had walked for the purpose of health or recreation is lower than the average of 873 minutes.

Now, the population study says it's equal to 873 minutes.

Thus, the hypotheses can be written as;

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

The value of the variables x, y , z are 28.75° , 135.5°, and 44.5° respectively .

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Corresponding angles are equal to each other. This means that (6x/5 +10)°=z= (2x-13)°

therefore( 6x/5 +10)° =(2x-13)°

collect like terms

10+13= 6x/5-2x

23= (10x-6x)/5

multiply both sides by 5

115=4x

x= 115/4= 28.75°

z= (2x-13)°

z= 2×28.75-13

z= 57.5-13

z= 44.5

z+y= 180( sum of angles on a straight line)

y= 180-44.5

y= 135.5

therefore the values x, y , z are 28.75° , 135.5°, and 44.5° respectively .

learn more about corresponding angles from

https://brainly.com/question/11853802

#SPJ1

Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

Answer:

\(4 {ft}^{3} \)

Step-by-step explanation:

\(2 \times \frac{1}{4} = 0.5 \\ v = lbh \\ 4 \times 2 \times 0.5 \\ = 8 \times 0.5 \\ = 4 {ft}^{3} \)

The volume of Luis’s cedar chest is 18 cubic feet.

The dimensions of Luis’s cedar chest are length=4 feet, width=2 feet and height=2 1/4 feet.

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height.

The formula to find the volume of the cuboid is l×b×h.

Where, l=length, b=breadth or width and h=height.

Now, volume=4×2×2.25=18 cubic feet.

Therefore, the volume of Luis’s cedar chest is 18 cubic feet.

To learn more about the volume of the cuboid visit:

https://brainly.com/question/23118276.

#SPJ2

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

Learn more about scale factor of a dilation here:

https://brainly.com/question/13005407

#SPJ1

Answer:

a. 50 turns

b. 0.0114 A

c. 0.25 A, 10 V

Step-by-step explanation:

Given:-

- The required current ( Is ) = 0.5 A

- The required voltage ( Vs ) = 5 V

- Transformer is 100% efficient ( ideal )

- The number of turns in the primary coil, ( Np ) = 2200

- The Voltage generated by power station, ( Vp ) = 220 V

Find:-

a. The number of turns in the secondary coil of the transformer

b. The current supplied by the power station

c. The effect on output current and voltage when the number of turns of secondary coil are doubled.

Solution:-

- For ideal transformers that consists of a ferromagnetic core with two ends wounded by a conductive wire i.e primary and secondary.

- The power generated at the stations is sent to home via power lines and step-down before the enter our homes.

- A household receives a voltage of 220 V at one of it outlets. We are to charge a phone that requires 0.5 A and 5V for the process.

- The outlet and any electronic device is in junction with a smaller transformer.

- All transformers have two transformation ratios for current ( I ) and voltage ( V ) that is related to the ratio of number of turns in the primary and secondary.

                     Voltage Transformation = \(\frac{N_p}{N_s} = \frac{V_p}{V_s}\)

Where,

                 Ns : The number of turns in secondary winding

- Plug in the values and evaluate ( Ns ):

                           \(N_s = N_p*\frac{V_s}{V_p} \\\\N_s = 2200*\frac{5}{220} \\\\N_s = 50\)

Answer a: The number of turns in the secondary coil should be Ns = 50 turns.

- Similarly, the current transformation is related to the inverse relation to the number of turns in the respective coil.

                  Current Transformation = \(\frac{N_p}{N_s} = \frac{I_s}{I_p}\)

Where,

                 Ip : The current in primary coil

- Plug in the values and evaluate ( Ip ):

                        \(I_p = \frac{N_s}{N_p}*I_s\\\\I_p = \frac{50}{2200}*0.5\\\\I_p = 0.0114\)  

Answer b: The current in the primary coil should be Ip = 0.0114 Amp.

- The number of turns in the secondary coil are doubled . From the transformation ratios we know that that voltage is proportional to the number of turns in the respective coils. So if the turns in the secondary are doubled then the output voltage is also doubled ( assuming all other design parameters remains the same ). Hence, the output voltage is = 2*5V = 10 V

- Similary, current transformation ratio suggests that the current is inversely proportional to the number of turns in the respective coils. So if the turns in the secondary are doubled then the output current is half of the required ( assuming all other design parameters remains the same ). Hence, the output current is = 0.5*0.5 A = 0.25 A

Answer:

So, we can write the equation:

2.2x = 132

To solve for x, we can divide both sides by 2.2:

x = 132 ÷ 2.2

x = 60

Therefore, 220% of 60 is 132

The entry to record this payment when the company’s estimated taxes for the first quarter total $50,000 will be:

Debit Income taxes payable $50000

Credit Cash $50000.

A journal is a book in which all of a company's transactions are recorded for the first time. Journaling is the process of recording transactions in a journal. Every transaction has two effects: one is debited and the other is credited.

The act of keeping or making records of any transaction, economic or non-economic, is referred to as journal entry. An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry may include multiple recordings, each of which is either a debit or a credit. A journal entry's purpose is to physically or digitally record every business transaction properly and accurately.

The journal entry based on the information is illustrated.

Learn more about journal entry on:

https://brainly.com/question/14279491

#SPJ1