step by set
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Answer:  [tex]5n + 10d \ge 100[/tex]

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Explanation:

5n represents the value of all the nickels, where n is the number of nickels. Let's say he had 8 nickels. This would mean 5n = 5*8 = 40 cents is from just the nickels.

The 10d represents the value of all the dimes. For example, if he had d = 2 dimes, then he has 20 cents from those dimes because 10d = 10*2 = 20.

Combining the two expressions leads to 5n+10d as the total value of both types of coins. This total value is in cents. We want this value to be 100 cents or more. This is why we set 5n+10d to be greater than or equal to 100. That's how we arrive to [tex]5n+10d \ge 100[/tex]

Optionally we can divide each term by 5 to get [tex]n + 2d \ge 20[/tex] ,but I'll put the other inequality as the answer because it seems more descriptive in my opinion. Keeping 5n shows each nickel is 5 cents, and 10d shows each dime is 10 cents. Something like n+2d loses a bit of its descriptive nature.

The inequality for the given situation is 5n+10d≥100.

Given that, Matthew has n nickels and d dimes. He has a minimum of $1 worth of coins altogether.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

We know that,

A nickel is worth 5 cents. A dime is worth 10 cents. A dollar is worth 100 cents.

Now, the inequality 5n+10d≥100

Therefore, the inequality for the given situation is 5n+10d≥100.

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Answer:

(1.135)^[tex]^1/12[/tex]

Step-by-step explanation:

The monthly interest rate is 1.125%

What is rate of change?

The rate of change of a function is the rate at which the output values change over the input value.

The rate of change of a function is one degree less than the actual function.

Here, it is given that :

a credit card company charges 13.5% yearly interest

therefore, to find the rate of interest charged per month divide 13.5% with 12 :

rate of interest charged per month = 13.5%/12

rate of interest charged per month = 1.125%

Therefore, the monthly interest rate is 1.125%

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Answer:

x=11

Step-by-step explanation:

2x + 40 = 62

      -40   -40

2x= 22

/2     /2

x=11

Answer:

It's 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12x-19=9x+5  Equation/Question

Step 2

12x-19=9x+5  Simplify

12x-19=9x+5

Step 3

12x-19=9x+5  Subtract 9x

3x-19=5

Step 4

3x-19=5  add 19

3x=24

Step 5

3x=24  Divide by 3

answer

x=8

Hope this helps

Answer:

-6x+10=4x+12+8

-6x10= 4x+20

-6x=4x+10

-10x=10

x=-1

Answer:

the width of the rectangle is [tex]\frac{3}{5}[/tex] inches

Step-by-step explanation:

The computation of the width is as followS:

As we know that

Area of rectangle  = Length × width

Let us assume the width be x

So

[tex]\frac{2}{5} = \frac{2}{3} \times x \\\\\frac{2}{5} = \frac{2x}{3} \\\\10x = 6\\\\x = \frac{6}{10} \\\\= \frac{3}{5}[/tex]

hence, the width of the rectangle is [tex]\frac{3}{5}[/tex] inches

Answer:

a)  [tex]AE=4\sqrt{3}[/tex]

b) [tex]A_s=16(4\sqrt{3}-\pi)\ cm^2[/tex]

Step-by-step explanation:

Lines in a Circle

(a)

Points AEO form a right triangle, which hypotenuse is the radius of the larger circle (8 cm) and one of its legs is the radius of the smaller circle (4 cm).

Thus, the distance AE is calculated by using the Pythagora's Theorem:

[tex]AE^2=8^2-4^2[/tex]

[tex]AE^2=64-16=48[/tex]

[tex]AE=\sqrt{48}[/tex]

Since 48=16*3:

[tex]AE=\sqrt{16}\sqrt{3}[/tex]

[tex]\boxed{AE=4\sqrt{3}}[/tex]

(b)

The shaded area is the area of the rectangle ABCD minus the area of the smaller circle:

[tex]A_s=A_r-A_c[/tex]

The rectangle has a length of twice AE:

[tex]L=8\sqrt{3}\ cm[/tex]

And a width equal to the diameter of the smaller circle:

[tex]W=8\ cm[/tex]

The area of the rectangle is:

[tex]A_r=8\sqrt{3}\ cm*8\ cm[/tex]

[tex]A_r=64\sqrt{3}\ cm^2[/tex]

The area of the smaller circle is:

[tex]A_c=\pi\ r^2[/tex]

[tex]A_c=\pi\ 4^2\ cm^2[/tex]

[tex]A_c=16\pi\ cm^2[/tex]

Thus, the shaded area is:

[tex]A_s=(64\sqrt{3}-16\pi)\ cm^2[/tex]

Factoring:

[tex]\boxed{A_s=16(4\sqrt{3}-\pi)\ cm^2}[/tex]

a. the length of AE is: 6.9 cm

b. the shaded area is: 60.13 sq. cm.

Recall:

a. Find AE:

Considering right triangle AOE, apply the Pythagorean Theorem to find AE, given that,

EO = 4 cm

AO = 8 cm

Thus:

AE = √(AO² - EO²)

AE = √(8² - 4²)

AE = 6.9 cm

b. Shaded Area = Area of rectangle - area of circle

Area of rectangle = length × width = 2(6.9) × 2(4) = 110.4 sq. cm

Area of circle = π(4)² = 50.27 sq. cm

Shaded Area = 110.4 - 50.27 = 60.13 sq. cm.

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If there are two hydrogen atom molecules in one atom of water you'd do 51 times 2, getting you 102 hydrogen atoms in 51 water molecules.

There are 102 atoms of hydrogen are there in 51 molecules of water.

Given that,

There are two atoms of hydrogen and one atom of oxygen in one molecule of water.

We have to find,

How many atoms of hydrogen are there in 51 molecules of water.

According to the question,

There are two atoms of hydrogen and one atom of oxygen in one molecule of water.

Therefore,

Atoms of hydrogen are there in 51 molecules of water is,

= 2 × 51 = 102 atoms of hydrogen

Hence, there are 102 atoms of hydrogen are there in 51 molecules of water.

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Answer:

slope is 5 hope it helps lol lol lol lol

Answer:

Area = 64 cm² ; Perimeter = 32 cm

Step-by-step explanation:

Since we know that the side lengths of a square are all equal, this means that all 4 square lengths are 8 cm. Knowing that, we could simply square one of the side lengths to find the area:

8² = 64 cm²

To find the perimeter, just add all the side lengths. There are four sides to a square so we can just multiply the side length by 4:

8 · 4 = 32 cm

Answer: The first one and the last one

Step-by-step explanation:

Answer:

The answer is c.

Step-by-step explanation: i took the test

im 100% sure

Answer:

28

Step-by-step explanation:

Multiply 70 * 0.4

Answer:

28

Step-by-step explanation:

half of 70- 10% of that

Answer:

the remaining money is $1189.22

Step-by-step explanation:

Answer:

formula: a squared + b squared= c squared

6 squared+ 8 squared= c squared

36+64= c squared

100= c squared

Square root both sides

You get 10= c

Answer:

likley

Step-by-step explanation: edge 2021 on the quiz for me its question 6

Answer:

C. likely

Step-by-step explanation:

It is likely because if the bag holds red and green grapes then its not impossible to get a green grape because there are green grapes in the bag. It is not unlikly because there are 11/15 green grapes there, so there are more green grapes than red. But its still not certain that you will get a green grape, remember there are still quite a few red grapes too! So you would likely get a green grape.

I hope this helps!

Answer:

816 videos

Step-by-step explanation:

The computation of the total videos rented is as follows:

= Monday + tuesday + wednesday + thursday + friday + saturday + sunday + monday

= 130 + 124 + 80 + 74 + 130 + 124 + 80 + 74

= 816 videos

Here we assume that the question asked for total number of days i.e. 8 days

So according to that we calculate it

Answer: 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have,

55 + 35

To find, the distributive property to factor out the greatest common factor,

55 + 35 = ?

We know that,

The distributive property of multiplycation,

The factors of 55 = 1, 5, 11 and 55 and

The factors of 35 = 1, 5, 7 and 35

The greatest common factor of 55 and 35 = 5

Using distributive property of multiplycation,

The greatest common factor = 5

Hence, the greatest common factor of 55 and 35 is .

Answer:

The answer is 1,200 meters

Step-by-step explanation:

So what I did was find the rate so we want to know how much Sheila can do in just 1 minute first so you would have to do 6,000/ 15 which gives you 400 so he does 400 meters in just 1 minute. So then you would have to multiply 400 by 3 which gives you 1,200, making that your answer.

hope that helped!

Answer: 800 meters

Step-by-step explanation:

We first find the speed of Sheila by the speed equation, which is:

v =d/t

d is the total distance traveled

t is the total time taken

And so, we get:

v = 6000m/ 15min

= 400m/min

Now, we find the distance traveled in 2 minutes by solving for distance in the speed equation, which becomes:

d=v⋅t

Inputting our values, we get:

400m/min ⋅ 2min=800

Answer:

The answer should be -5.

Step-by-step explanation:

Remember that if there are two negative signs next to each other then it will turn into a positive sign, in which you get the equation -9 + 4.  Your answer should be -5 when you add 4 from -9.

Answer:

slope = - 4

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 4(x - 5) ← is in point- slope form

with slope m = - 4

Answer:

-4

Step-by-step explanation:

First express it in the form of y=mx+b where m is the slope and b is the y-intercept

y-3=-4x+20

y=-4x+20+3

y=-4x+23 then m=-4 which is the slope

Answer:

I think it's B

Step-by-step explanation:

I hope you get it right

Answer:

a) Let's suppose that player 1 chooses rock, and the selection of player 2 can be thought as random.

If player 2 randomly selects rock, the result of the game is a draw.

if player 2 randomly selects papers, player 1 loses.

if player 2 randomly selects scissors, player 1 wins.

Then we have 3 options with the same probability, that will be:

1/3

This is, the probability of winning is equal to the quotient between the number of outcomes that make player one win (1, in this case, scissors) and the total number of outcomes (3) = 1/3

the probability of a draw is equal to the quotient between the number of outcomes that make a draw (1, in this case, rock) and the total number of outcomes (3) = 1/3

the probability of losing is equal to the quotient between the number of outcomes that make player one lose (1, in this case, paper) and the total number of outcomes (3) = 1/3

And remember that this will be the same for any selection of the player 1.

b) As we already found, the probability of winning for any selection is 1/3 = 0.333..

Answer:

"Y" will be at ( 7 , 8 )

Step-by-step explanation:

"R" is moved up 4, to the right 1.

Doing this to "Y" leads to the answer.

Answer:I’m not able to see your Image

Step-by-step explanation:

Answer:

7(4) - (10+18)

28 - 28

0

Step-by-step explanation:

Step-by-step explanation:

okay, 7 (n) if n = 4 that means 7 times 4 so that equals 28 BUT we do (m + 18) first so if m= 10 that means (10 + 18) would be 28, so

28 - 28= 0