Shawna won 40 super bouncy balls playing
horseshoes at the county fair. At school she
gave three to every student in her math
class. She only has 1 remaining. How
many students are in her class?

Answer:

Option 1 and 4

Step-by-step explanation:

The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

Then, the number of n can be computed as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

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The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.

Now, suppose n represents the number of n-digit positive integers.

1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.

Then, the number of n can be calculated as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

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0.595

= 595/1000

= 119/200

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Radius ~

[tex]\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:r \approx 11.28 \: ft[/tex]

I hope you understood the whole procedure, let me know if you have doubts ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

4.1 meters each

1000 milileters go into 1 meter

Step-by-step explanation:

Answer:

Step-by-step explanation:

12300/3= 4100    1 meter = 1000 millimeters

4100/1000=4.1 meters

Answer:

∠BAC = 35°

AC = 5 cm

BD = 2.4 cm

Step-by-step explanation:

As ΔABC ~ ΔBDC then ∠CBD ≅ ∠BAC

As ∠CBD = 35° then ∠BAC = 35°

Using Pythagoras' Theorem

CB² + AB² = AC²

⇒ 3² + 4² = AC²

⇒ 25 = AC²

⇒ AC = 5 cm

As ΔABC ~ ΔBDC then

AB : AC = BD : BC

⇒ 4 : 5 = BD : 3

[tex]\sf \implies \dfrac45=\dfrac{BD}{3}[/tex]

[tex]\sf \implies BD=\dfrac{12}{5}=2.4\:cm[/tex]

**A right triangle with legs of 3cm and 4cm, and a perpendicular line from the hypotenuse to the right angle vertex, does not have an internal angle CBD of 35°.  It should be 36.87°.  So if you use SOHCAHTOA to find the length of BD, it will be incorrect. See attached diagram**

Answer:

Step-by-step explanation:

Given

Corresponding angles are congruent

Use Pythagorean to find the length of AC

The ratio of corresponding sides is equal

Answer:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

Step-by-step explanation:

Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.

Here, we can make the following approximations:

  √17 -2 ≈ 2.12

  1 +π/2 ≈ 2.57

Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

__

Your calculator can help with this.

Answer:

5/11.

Step-by-step explanation:

The number of ways 2 balls can be selected = 12P2

= 12!/10!

= 12*11

= 132.

There are 6 even numbers and 6 odd numbers in the bag.

If both numbers drawn are even there are 6P2 = 30 ways that sum is even.

If the 2 numbers are odd there are also 30 ways that sum is even.

Any other combination wil be odd.

So the required probabilit = 2(3) / 132

= 60/132

= 5/11.

Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².

If we compare the function of the two graphs,

[tex]g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\[/tex]

As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.

Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.

If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.

Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

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Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's

correct on edge 2023 have a good day :)

Answer:

B = (5, 1).

Step-by-step explanation:

From the formula for the midpoint of  a line :-

(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2)    where x and y are the coordinates of B.

so (-1 + x)/2 = 6/2

-1 + x = 6

x = 5.

and (5 + y)/2 = 6/2

5 +  y = 6

y =  1.

Answer:

it will land on "1" exactly 12 times

Step-by-step explanation:

y = 4

2x + 3y = 6

1) 2x + (3 x 4) = 6

2) 2x + 12 = 6

3) 2x = -6

4) x = -3

Answer:

1. 2x + 3(4) = 6, 2. 2x + 12 = 6, 3. 2x = -6, 4. x = -3

Step-by-step explanation:

Step 1: 2x + 3(4) = 6
Step 2: 2x + 12 = 6
Step 3: 2x = -6
Step 4: x = -3

Hope this helps :)

Answer: 18.0 feet

Step-by-step explanation:

Answer

Let's get to it!

Step-by-step explanation:

1) There are 15 pounds of chees on that platter. (3+5+3+4=15)

2) The total weight is 32 ounces and 6 pounds.

3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)

4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)

5) There is a total of 4/8 or 1/2 of an ounce

6) 2/8 ounces of oregano is left.

7) This recipe requires 1 and 1/2 pounds of meat.

(This is all I could do without paper) sorry, hope this helps.

Answer:

5/26

Step-by-step explanation:

There are 26 letters in the english alphabet then out of that 26 there are 5 vowels so the probability is 5/26

Answer:

w

Step-by-step explanation:

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.

Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.

There are 1.2 × 10² months in 10 years.

1.81 ≈ 2 and 1.2 ≈ 1

The number of shoes in 10 years will be

→ (2 × 10⁴)(1 × 10²)

→ 2 × 10⁶

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

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Answer:

The measure of angle PRT would be:
B.) 90 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer


The angle letters PRT all will connect at one point which is the angle we will measure.
Angle PRT = 90 degrees

Answer:

[tex]A=2000e^{0.085t}[/tex]

Step-by-step explanation:

Make sure you understand the formula for continuous compounding first. The formula is:

[tex]A=Pe^{rt}[/tex] where

A= Total

P= Principal (or the amount invested at beginning)

r= Interest rate (as a decimal)

t= Time (in years)

Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.

Find the values that you are given:

A= What you are looking for

P= 2000

r= 8.5% as a decimal = 0.085

t= What you change

Plug these into the equation:

[tex]A=2000e^{0.085t}[/tex]

This is the answer!

The amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

A discount refers to an amount deducted from the normal selling price of an object.

Let x be the original price of one game and y be the original price of one security program.

Given pay $35.70 each for two games and $22.96 for a security program.

The total pay with discount

$35.70 + $22.96 = $58.66

Also, 100% - 15% = 85%

100% - 18% = 82%

here, we have

0.85 (2x) = 35.70

1.70x = 35.70

x = $21

0.82 y = 22.96

y = $28

the total pay without discount

2x + y = 2 (21) + 28

          = $70

The amount saved is 70 - 58.66 = 11.34

Therefore, the amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

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Answer:

d. $11.34

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

Similar Triangles... Yes

QR similar to SR

ang. QRP = ang. SRT

ang. p = ang. t

=> similar

Answer: Each person gets 1 1/4 of a sandwich.

Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too.  Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone.  So, each person gets 1 and 1/4 of a sandwich.

Hope this helps! :)

If each person gets the same amount of sandwich then each person get

is 5/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have,

Total sandwiches = 5

Total number of people = 3

Now, we have to equally divide 5 sandwiches among 3 Friends.

So, Each person get

= 1 full sandwich and 2/3 part

= 1 2/3 parts

= 5/3

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For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :

[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]

Which suits the B) option

Hence, Option B) is correct

Answer:

  a. (A, B, C) = (90°, 65°, 25°)

  b. BCD = 155°

Step-by-step explanation:

The interior acute angles of the right triangle can be found by writing an equation representing the relation between them. The exterior angle can be found using the relations between exterior angles and interior angles.

__

Angle A is given as a right angle, so measures 90°. Let C represent the measure of angle C in degrees. Then angle B has measure 3C-10. Those two angles are complementary, so ...

  C +(3C-10) = 90

  4C = 100

  C = 25

  B = 3(25) -10 = 65

The angle measures are ...

__

Angle BCD is the exterior angle adjacent to interior angle C. As such, it is supplementary to angle C:

  BCD = 180° -C = 180° -25° = 155°

An exterior angle is equal to the sum of the remote interior angles. That means ...

  BCD = A +B = 90° +65° = 155°

_____

Additional comment

An exterior angle is equal to the sum of the remote interior angles, because both the exterior angle and the sum of the remote interior angles are supplementary to the adjacent interior angle. Angles supplementary to the same angle have the same measure.

Answer:

part b is 155

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

hope its help^^

Answer:

use a kittykat proportion

Step-by-step explanation:

Answer:

3x² is "monomial" according to the number of term(s) and "Quadratic" based on degree

The probability that the three they choose will consist of each of their favorite movies is 1/29791.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31 movies.

Total number of outcomes = 31

They choose three movies out of 31

Let us assume that  Finn, Michael, and Chris have 1 favorite movie out of 31.

The probability that the three they choose will consist of each of their favorite movies:

= (1/31)(1/31)(1/31)

= 1/29791

Thus, the probability that the three they choose will consist of each of their favorite movies is 1/29791.

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The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.

An equation is an expression that shows the relationship between two or more numbers and variables.

Sum of each row = sum of each column = x + 2 + x + 2 = 2x + 4

Hence:

a + x + 2 + 2 - x = 2x + 4

a = 2x

b + 5 - x + x = 2x + 4

b = 2x - 1

c + 5 - x + 2x = 2x + 4

c = x - 1

d + 2 + x - 1 = 2x + 4

d = x + 3

The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.

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