Peter has one of each of the following coins in his pocket: a penny, a nickel, a dime, a quarter, and a half-dollar. Four of these coins are taken out of the pocket and the sum of their values is calculated. How many different sums are possible?

Answer:

yes

The statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Step-by-step explanation:

A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because

A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.

In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.

Therefore, the statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Keywords: plane, point, line, ray

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Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

This is the same as writing  v = sqrt(ar)

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

Work Shown:

[tex]a = \frac{v^2}{r}\\\\ar = v^2\\\\v^2 = ar\\\\v = \sqrt{ar}\\\\[/tex]

I multiplied both sides by r to isolate the v^2 term, then I applied the square root to fully isolate v.

Answer:

60

Step-by-step explanation:

Hello!

Since p(x) turns into p(11) we put 11 in for x

p(11) = 5(11 + 1)

Follow PEMDAS

p(11) = 5(12) = 60

The answer is 60

Hope this helps!

Answer:

5(11^2+1)+16

5(121+1)+16

5(122)+16

610+16

p(11)=626

The answer is 626

hoped i helped

Please rate me or leave a like

Answer:

A

Step-by-step explanation:

[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]

[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]

[tex]m>14 \wedge m\leq -4[/tex]

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42  and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4   and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12  and 6m > = 30

m > = 3   and m > =5

m > = 5

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

Answer:

- 1/ 4 > -1 2/3

Step-by-step explanation:

-1 /4 is closer to zero than - 1 2/3.

Answer:

-14>-1 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour[/tex]

Answer:

4200 beat per hour

Step-by-step explanation:

70 beat per min to beat per hour

70 beat      60 min

    -------  x -----------  =  4200 beat per hour

     min       1 hour

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

Answer:

y=2x+1

Step-by-step explanation:

there's nothing to show, sorry

ask me if you have question

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

[tex]V=\pi r^2h[/tex]

Where, r = radius

h = height

Put the value into the formula

[tex]V=\pi\times(2)^2\times13[/tex]

[tex]V=163.3\ cm^3[/tex]

Hence, The volume of the cylinder is 163.3 cm³.

Answer:

He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

Divide-center method is the method which involves dividing the data on the graph into two equal parts and then fin the line of best fit. The center of each group is approximated and then a line is constructed between two centers which is estimated as line of best fit.

Answer: p = 3.

Step-by-step explanation:

Ok, this must be:

p and p^4 + 8

ok, it may be useful to remember the first prime numbers:

2, 3, 5, 7, 11, 13...

So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:

First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.

now let's try p = 3.

3^4 + 8 =  81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.

Answer:

The center of the circle is

Step-by-step explanation:

Equation of a circle is given by

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

Hope this helps you

Answer:

9

Step-by-step explanation:

i did 8x4 which is 32

and knowing how to do averages i knew the total of the numbers was going to be divided by the amount of numbers, so i knew that it had to add up to 50 because 50/10 is 5.

so i knew i needed 18 more points, 18/2 = 9 so

4(8) + 9(2) = 32 + 18 = 50

Answer:

n^2-8 is the answer

Step-by-step explanation:

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

The volume of the first equals:

Volume = Length x Width x Height

While the volume of the cube is:

[tex]Volume = a^{3}[/tex] where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]

Thus the length of an edge of the cube is 10 centimeters

Step-by-step explanation:

Hello!!!!

According to the question,

distance covered (d)= 45km.

time taken (t)= 1 hr and 15 mins.

now,

let's find answer of this question no. i).

》answer :

speed (s)= distance by time taken

= 45 /1.25

so, the speed is 36 km/hr.

now, for 2nd question,

time (t)= 2hrs and 40 mins.

speed (s)= 36km / hr

now,

distance (d)= s×t

= 36×2.6666666667

= 96km....is yourrequired answer.

Hope it helps...

Six hundred thousand

Hope it helps :)

Answer:

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100

The Significance level  for this test = 10 % = 0.1

For one tailed test ∝= 0.1 the value of Z∝= ±1.28

Since it a normal distribution the test statistic used is

Z= X= u / σ/√n   ( taking n= 1)

1.28 = X- 500/100/√1

128 + 500 = X

or X = 628

The minimum score necessary to be in the top 10% of the distribution is 628.

Answer:

Length = 3.2feets ; width = 6feets

Step-by-step explanation:

Given the following :

Actual dimension of Mural:

8feets by 15feets

Scale drawing ratio of Mural :

2feets : 5feets

This means :

2 Feets on paper equals 5 Feets of actual drawing:

Therefore, with actual dimension of Length = 8feets ;

Length of scale drawing = (2/5) * 8 = 3.2feets

Actual dimension of width 15feets ;

Width of scale drawing = (2/5) * 15 = 6 Feets

Answer:

13/2 = a

Step-by-step explanation:

27 – 4 + 2a = 4a + 10

Combine like terms

23 +2a = 4a +10

Subtract 2a from each side

23+2a-2a = 4a-2a +10

23 = 2a+10

Subtract 10 from each side

23-10 = 2a+10-10

13 = 2a

Divide by 2

13/2 = a

Answer: a = 13/2

I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!

Answer: zero of the zero polynomial is additive identity where all the coefficients including constant are zero.

hope you understand. Pls make me in brainliest

Step-by-step explanation:

Answer:

A zero polynomial is a a constant polynomial, whose coefficients all equal 0. There are an infinite number of 0's in a zero polynomial. Any value of x can be a zero of a zero polynomial, which is why there are an infinite number of 0's in a zero polynomial.

Step-by-step explanation:

Answer:

Here is the equation 4x6/8=3

Answer:

4 x q ÷ 8 = 3

4 x 6 ÷ 8 = 3

(24) ÷ 8 = 3

Answer:

The answer is 4

Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

Answer:

-15÷35 is different from 4÷-6

Step-by-step explanation:

-15÷35=-3/7

4÷-6=-2/3

-3/7 is different from -2/3

Answer:

20boys and 15girls

Step-by-step explanation:

Let no of boys be 4x

no of girls be 3x

4x+3x=35

7x=35

x=35/7

x=5

no of boys=4×5=20

no of girls=3×5=15

20+15=35 students