At the beginning of this month, Paul had $654.23 in digital money. So far this month he has made deposits of $67.66, $23.67, and $98.43 into his account, while he has made withdrawals of $55.28, $34.11, and $34.38. How much digital money does Paul have now?

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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The response scale will yield: nominal data.

Nominal scale is a scale of measurement of data that uses numbers to identify or label groups of data, however, the numbers have no numerical value other than for identification purposes.

In the response scale given, the numbers are only used for identification, and they therefore have no numerical value.

Therefore, the response scale will yield: nominal data.

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Answer:

Veronica's age now =8 years

Step-by-step explanation:

Veronica's age now = x years

Georgia's age now = 5x  - 7

Veronica age after 6 year = 14

x + 6  = 14

       x  = 14 - 6

       x = 8 years

Answer:

x=3 and y=-4

(3,-4)

Step-by-step explanation:

I searched it up :/

Answer:

x = 3 and y = -4

Step-by-step explanation:

Solve y = 2x-10 for y:

y=2x-10

Substitute 2x-10 for y in y = -3x+5:

y=-3x+5

2x-10=-3x+5

2x-10+3x=-3x+5+3x (add 3x to both sides)

5x-10=5

5x-10+10=5+10 (add 10 to both sides)

5x=15

5x/5=15/5 (divide both sides by 5)

x = 3

Substitute 3 for x in y = 2x-10:

y=2x-10

y=(2)(3)-10

y=-4 (simplify both sides of the equation.

Therefore your answer is x = 3 and y = -4.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Based on the information provided, we have the following:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Next, we would determine whether or not the given values of variable x are solutions to the given inequality by evaluating as follows:

When x = 10, we have:

15 < 10; No, it is not a solution.

When x = 16, we have:

15 < 16; Yes, it is not a solution.

When x = 13, we have:

15 < 13; No, it is not a solution.

When x = 20, we have:

15 < 20; Yes, it is not a solution.

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Complete Question:

For each value of x, determine whether it is a solution to  15 < x.

Is it a solution?

10: yes or no

16: yes or no

13: yes or no

20: yes or no

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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12 : 48 : 24

thats the answer

12 passion fruit

48 grapefruit

24 grape juice

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

-1040 feet

Step-by-step explanation:

Since the altitude decreases at 40 feet per second, we can find the change in altitude by multiplying -40 by the number of seconds:

So, multiply -40 by 26:

-40(26)

= -1040

So, the change in altitude will be -1040 feet

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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Answer:

\(P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256\)

And replacing we got:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744\)

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

\(X \sim Binom(n=2, p=1-0.16=0.84)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

And we can find this probability:

\( P(X \geq 1)\)

And we can solve this probability like this:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)\)

And if we use the probability mass function we got:

\(P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256\)

And replacing we got:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744\)

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.4

Trust me

Sorry if wrong

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 3x + 4 = 25, the first step for solving for x will be to subtract 4 from both sides of the equation. This gives us 3x + 4 - 4 = 25 - 4, or 3x + 0 = 21, or 3x = 21. Now take 21 (from the right side of the equation) and divide by 3 (from the left side of the equation) to come up with x = 7.

Answer:

3(x-4)(x-2)

Step-by-step explanation:

Hope this helps! Please mark brainliest. :)

Answer:

8x-7y=6

or, -7y=-8x+6

or, y=8x/7-6/7

so the slope is 8/7

8x-y=-8

or, -y=-8x-8

or, y=8x+8

So the slope is 8

Both has different slope and they don't satisfy the property of being perpendicular to each others, so they're neither parallel nor perpendicular.

Answered by GAUTHMATH

The student used 6 toonies (worth $12) and 8 $10 bills (worth $80) to pay for the bike.

what is distribution?

Distribution can refer to various things depending on the context, but in general, it means the act of dividing or sharing something among a group of people or things.

In mathematics and statistics, distribution refers to the pattern or spread of values of a variable in a population or a sample. It describes how the values of a variable are distributed or arranged, and can be represented by a probability distribution or a frequency distribution.

In business and economics, distribution refers to the process of getting products or services from the manufacturer or producer to the consumer or end user. It involves various activities such as transportation, warehousing, and retailing, and is an important part of the supply chain management.

In politics and social sciences, distribution can refer to the allocation of resources or benefits among individuals or groups in a society. It can involve issues such as income distribution, wealth distribution, and resource allocation, and is a key concern in social justice and welfare policies.

In general, distribution is a fundamental concept that involves the division or sharing of something, and can be applied in various fields and contexts.

Let's start by using algebra to solve the problem. Let x be the number of toonies and x + 2 be the number of $10 bills.

The total cost of the bike is $92, which is equivalent to 9200 cents. The number of toonies is x, which is worth 200 cents each, so the total value of the toonies is 200x cents. The number of $10 bills is x + 2, which is worth 1000 cents each, so the total value of the $10 bills is 1000(x + 2) cents. Therefore, we can write the equation:

200x + 1000(x + 2) = 9200

Simplifying and solving for x:

1200x + 2000 = 9200

1200x = 7200

x = 6

Therefore, the student used 6 toonies (worth $12) and 8 $10 bills (worth $80) to pay for the bike.

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Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

The value of f(g(2)) from the given functions f(x) and g(x) is 3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=2x²+1 and g(x)=3x-5.

We need to find f(g(2)).

Put x=2 in the function g(x)=3x-5, we get

g(2)=3×2-5

= 6-5

= 1

So, g(2)=1

Put x=1 in the function f(x)=2x²+1, we get

f(g(2))=2(1)²+1

= 2+1

=3

Therefore, the value of f(g(2)) is 3.

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I'll answer this question in a bit, I am busy with some other things right now.

If Pete works for  45.25 hours during the week and 5.75 hours on Saturday, his earning will be]$981.68

From the question, Pete's regular work week is 40 hours and his regular salary is $15.77/h.

To determine how much Pete will make if he works 45.25 hours during the week and 5.75 hours on Saturday,

If he worked 45.25 hours during the week, then he has worked 5.25 hours overtime, since his regular work week is 40 hours.

From the question, he earns time and a half for overtime hours worked during the week (Monday to Friday), that is,

∴ For working 5.25 hours overtime, he will earn for 5.25hours × 1.5 = 7.875 hours

Also, from the question, he earns double time and half if he has to work on a Saturday

∴ For working 5.75 hours on Saturday, he will earn for 5.75 hours × 2.5 = 14.375 hours

Since his regular salary is $15.77/h,

Therefore, Pete will earn

40 × $15.77 = $630.8 (for his regular work week)

7.875 × $15.77 = $124.18875 (for overtime hours worked during the week)  

and 14.375 × $15.77 = $226.69375 (for working on Saturday)

Hence,  if Pete works for  45.25 hours during the week and 5.75 hours on Saturday, his earning will be $630.8 + $124.18875 + $226.69375 = $981.6825 ≅ $981.68

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The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

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Answer:

1/6

Step-by-step explanation: