How much does each piece cost individually?

Answer:

ok so it would be square root 2

Step-by-step explanation:

Using arithmetic sequences, it is found that there are:

a) 257 numbers that are are divisible by 5 and by 7.

b) 1543 numbers that are divisible by 5 but not by 7.

c) 1800 numbers that are divisible by 5.

d) 1286 numbers that are divisible by 7.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

We apply the general formula and solve for n, thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9975 = 1015 + 35(n-1)[/tex]

[tex]35n - 35 = 8960[/tex]

[tex]35n = 8995[/tex]

[tex]n = \frac{8995}{35}[/tex]

[tex]n = 257[/tex]

There are 257 numbers that are are divisible by 5 and by 7.

Item b:

First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9995 = 1000 + 5(n-1)[/tex]

[tex]5n - 5 = 8995[/tex]

[tex]5n = 9000[/tex]

[tex]n = \frac{9000}{5}[/tex]

[tex]n = 1800[/tex]

Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.

1800 - 257 = 1543.

There are 1543 numbers that are divisible by 5 but not by 7.

Item c:

From the previous item, there are 1800 numbers that are divisible by 5.

Item d:

We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9996 = 1001 + 7(n-1)[/tex]

[tex]7n - 7 = 8995[/tex]

[tex]7n = 9002[/tex]

[tex]n = \frac{9002}{7}[/tex]

[tex]n = 1286[/tex]

There are 1286 numbers that are divisible by 7.

A similar problem is given at https://brainly.com/question/23901992

Answer:

d)

Step-by-step explanation:

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.

our r here is -1 to get x + 1.

f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2

the remainder is -2.

and since the remainder is <> 0, the binomial cannot be a factor.

Answer:

$200,000

Step-by-step explanation:

They all won $10,000,000 and

each person got a 0.02 share of the $10,000,000

Each person received

10,000,000*0.02 = $200,000

Answer:

Answer A

Step-by-step explanation:

Alt Interior angles make two angles parallel

Answer:

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Because J is the midpoint of KL, it means that KJ ans JL are equal.

Think about it like this:

Hope this helps!

Step-by-step explanation:

the midpoint of a line splits the line into 2 equally long parts.

therefore, JI must be equally long to KJ.

x = 6

and with KJ = 6 and JI = 6, then KI = KJ + JI = 6+6 = 12

Answer:

No

Step-by-step explanation:

Kenji's kite uses more paper

Answer:

y=23

Step-by-step explanation:

y-x=11

x=12

y=x+11

y=12+11

y=23

Answer:

[tex]{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \rm{slope = \frac{9 - ( - 5)}{6 - ( - 1)} }} \\ \\ { \rm{slope = \frac{14}{7} }} \\ \\ { \boxed{ \rm{ \: \: slope = 2 \: \: }}}[/tex]

Answer:

5 9/10

Step-by-step

Have the fraction with common denominators: 5/10 and 4/10

Answer:

5 degrees Fahrenheit

Step-by-step explanation:

-6 + 11 = 5

Answer:

24 by 113

Step-by-step explanation:

43 + 46 + 24 = 113

the % of people with both is 24%, thus the answer will be 24 by 113

Hope its correct and helps ya :)

Answer:

Ako pilipino

Step-by-step explanation:

I'm on american hehe pilipino talaga ako

Answer:

3x + y = 15

Step-by-step explanation:

y/3 + x = 5

You can first move the x and y variable around so it fits the standard linear equation format.

x + y/3 = 5

In order to make it look more like the standard format, you can multiply both sides of the equation by 3 to get rid of the 3 in the denominator of the y variable.  It would look like this:

3 ( x +y/3) = 3 ( 5 )

When you multiply this out, you get this:

3x + y = 15

Answer:

Jina has $10,

Tony has $40,

and Henry has $20

Step-by-step explanation:

So if we use a little bit of algebra, let's say

Jina's amount = a.

Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount

(a + 10) by 2, and you get: 2(a + 10).

Here's to make things easier on the eye for you:

Jina's amount = a

Henry's amount = (a + 10)

Tony's amount : 2(a + 10)

Next, form an equation by adding each of the three's amounts together:

Jina's amount + Henry's amount + Tony's amount

= a + (a + 10) + 2(a + 10)

= a + a + 10 + 2a + 20

(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)

4a + 30 = 70

(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)

= 4a = 40

(and now, simplify by dividing by 4)

a = 10

Substitute 10 for a:

Jina: a = $10

Henry = (a + 10) = (10 + 10) = $20

Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40

Add them all up if you want to check if its correct:

$10 + $20 + $40 = 70$ ✔

Sorry if this explanation was a bit long, I hope you understand ^^.

Answer:

The answer would be c

Step-by-step explanation:

Answer:

B, if not then it's D

Step-by-step explanation:

Answer:

$2.80

Step-by-step explanation:

24.40-13.20=11.20

11.20/4=2.8

Answer: 250

Step-by-step explanation:

i took a test

Answer:

EZ answer 9+10=21

Step-by-step explanation:

Modeling the box representation Mathematically can be done using the multiplication sentence 0.06 × 4 = 0.24

The entire box has 100 holes ;

Each shading takes up 6 boxes which is 6/100 of the entire box ; Area per shading :

The number 6 set shading represented on the box = 4

The multiplication model :

0.06 × 4 = 0.24

Therefore, the multiplication sentence which represents the model is 0.06 × 4 = 0.24

Learn more : https://brainly.com/question/25310757

Answer:

x = 10

Step-by-step explanation:

a² + b² = c²

(5√2)² + (5√2)² = x²

50 + 50 = x²

x² = 100

x= 10

Answer:

Ummm no not really

Step-by-step explanation:

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

1/8 -> 0.125

25% -> 0.25

0.02 -> 0.02

0.1 -> 0.10

least -> greatest

Haley, 0.02 -> Diego, 0.1 -> Rishi, 1/8 -> Monique, 25%

Arranging the persons from least to greatest

Haley < Diego < Rishi < Monique

A number expressed as a quotient, in which a numerator is divided by a denominator.

Given:

Rishi paints = 1/8 = 0.125

Monique paints = 0.250

Haley paints = 0.020

Diego paints = 0.100

Now, arranging the persons from least to greatest

Haley < Diego < Rishi < Monique

Learn more about fraction here:

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#SPJ5

Answer:

75 marks

Step-by-step explanation:

one question worth 3 marks

so 25×3=75

Answer:

20 million

Step-by-step explanation:

5 million SUVs are 25% of the total number of vehicles.

0.25x = 5,000,000

x = 20,000,000

Answer: 20 million

The question is an illustration of proportions.

A total of 20 million vehicles were looked into

The proportions are given as:

[tex]SUV = 25\%[/tex]

[tex]Trucks= 10\%[/tex]

Let the total number of vehicles be v.

The number of SUVs is given as 5 million.

So, we have:

[tex]SUV = 25\% \times v[/tex]

Substitute 5 million for SUV

[tex]5\ million= 25\% \times v[/tex]

Express the percentage as decimal

[tex]5\ million= 0.25 \times v[/tex]

Divide both sides of the equation by 0.25

[tex]20\ million = v[/tex]

Rewrite the equation as

[tex]v =20\ million[/tex]

Hence, 20 million vehicles were looked into

Read more about proportions at:

https://brainly.com/question/16981404