What is the 7th term in the geometric sequence described by this explicit
formula?
an = 800 - (0.5)(n-1)

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Correct Question

A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.

Answer:

What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?

28 identical dental care bags

Describe the contents of each bag.

2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Step-by-step explanation:

We solve for this using greatest common factor method

Step 1

Find the factors of 56, 84 and 112

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The greatest common factor amongst them is = 28

Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.

Describe the contents of each bag.

Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Answer:

x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Step-by-step explanation:

Let x = number of miles traveled on Monday

Let y = number of miles traveled on Tuesday

Let z = number of miles traveled on Wednesday

Given:

⇒ y = 2x - 5

Given:

⇒ z = x² + 40

Given:

⇒ x + y + z = 1024

Substitute  y = 2x - 5  and  z = x² + 40  into x + y + z = 1024:

⇒ x + 2x - 5 + x² + 40 = 1024

⇒ x² + 3x + 35 = 1024

⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Answer:

13

Step-by-step explanation:

6+4=10

10+3

13

Answer:

the answer is 103

Step-by-step explanation:

(6+4)+3+30(3)

(10)+3+90

103

Answer: See below for totals:

Step-by-step explanation:

P(blue and red) = [tex]\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}[/tex]

P(yellow and green) = [tex]\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}[/tex]

P(blue or yellow, green) = [tex]\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}[/tex]

P(green and blue and red) =​[tex]\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}[/tex]

Hope this helps!

Answer: First option

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4^2 +3^2 = 5^2

Answer:

sqrt([4 * 4] + [3 * 3]) = 5

Step-by-step explanation:

Fill in the parameters for the Pythagorean Theorem and solve it.

Answer:

9

Step-by-step explanation:

h(x)=| 2x+7|

h(-8)= |2(-8)+7|

= |-16+7|

=|-9|

=9

Answer:

0.67

Step-by-step explanation:

m is the slope

The formula is m=[tex]\frac{y_{2}-y_1}{x_2-x_1}[/tex]

m= [tex]\frac{4-2}{6-3}[/tex]

m= [tex]\frac{2}{3}[/tex]

2÷3=0.66666...≈0.67

Answer:

true

Step-by-step explanation:

example: $10 for 10 chocolate

10.00÷10=1.00

Answer:

a) [tex]a_n=3n-1[/tex]

b) [tex]a_n=2n+7[/tex]

Step-by-step explanation:

a)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

14 - 11 = 3

11 - 8 = 3

8 - 5 = 3

5 - 2 = 3

(so the common difference = 3)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]\implies a_n=2+(n-1)3[/tex]

[tex]\implies a_n=2+3n-3[/tex]

[tex]\implies a_n=3n-1[/tex]

b)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

17 - 15 = 2

15 - 13 = 2

13 - 11 = 2

11 - 9 = 2

(so the common difference = 2)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]\implies a_n=9+(n-1)2[/tex]

[tex]\implies a_n=9+2n-2[/tex]

[tex]\implies a_n=2n+7[/tex]

Answer:

it's giving B.

I can really explain why but it's giving B 5/6 is greater than da amount..

Answer:Adult tickets sold is the variable a.Child tickets sold is the variable c.a + c = 1756.40a + 1.35c = 564.50The first equation can be rewritten asc = 175 - aReplace c in the second equation with what it is equal to6.40a + 1.35(175 - a) = 564.50Apply the distributive property6.40a + 236.25 - 1.35a = 564.50Combine like terms5.05a + 236.25 = 564.55.05a = 328.25a = 65c = 175 -65c = 110The sold 65 adult tickets and 110 child tickets

Step-by-step explanation:

Step-by-step explanation:

This is geogebra app which graph the equations...

I graphed the equation for you...

Answer:

B.) 5%

Step-by-step explanation:

You'll need to multiply 0.05 by 100. Since 100 = 1, we are only multiplying by 1 and not changing the value of our number.

0.05 × 100 = 5

5/100 is 5 over 100 and means 5 per 100. 5 "per 100" means 5 "percent" or 5%

Therefore, 0.05 = 5%

I hope this helps! ^-^

Answer:

A

Step-by-step explanation:

Forget the number line for a moment. It seems to be confusing you. Just get the answer.

-1/2 = - 2/4

5/4 = 5/4    There's nothing more you can do to this that's constructive.

Sum = (-2 + 5 ) / 4

Sum = 3/4

Now which like gives that result? It's A isn't it?

Answer:

$650+$150x

Step-by-step explanation:

Base number and 150 is added per month.

Answer:

x = 30°

Step-by-step explanation:

2sinx - 1 = 0

2sinx = 1

sinx = 1/2

x = 30°

Answer:

x = nπ + ( -1 )π π/6, where n is the integer

Step-by-step explanation:

Answer:

First, let's set up the equation

· We know the least total he's got in one month is $124.92

· In that one month, he was charged an additional $30 dollar fee.

· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').

It would look like this;

30 + 0.07m = 124.92

where $30 is the additional fee

$0.07 is the money he is charged per unknown minutes otherwise known as 'm'

$124.92 is the total of that whole month (which has been the least amount of money he used)

So now we solve for m:

30 + 0.07m = 124.92

-30                   -30(get rid of any constants first by performing the inverse operation of addition, subtraction)

0.07m = 94.92

/0.07     /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)

m = 1,356 minutes

Answer:

[tex]12s-120[/tex]

Step-by-step explanation:

Given the following question:

[tex]12(s-10)[/tex]

To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.

[tex]12(s-10)[/tex]
[tex]12\timess=12s[/tex]
[tex]12s-10\times12[/tex]
[tex]10\times12=120[/tex]
[tex]12s-120[/tex]

Your answer is "12s - 120."

Hope this helps.

Answer:

8/12 and 4/12

Step-by-step explanation:

simplified to 2/6 and 1/6

Answer:

not possible

Step-by-step explanation:

the two congruent sides do not include the angle in between them, which makes the rule that makes them congruent SSA, which is a rule that doesn’t not exist. Ur welcome :)

Answer

Step-by-step explanation:

This is exponential growth, so we would use the following equation

y=a(b)^x

500(1.005)^15

1. Initial amount is $500, since that's what we started with.

2. Add the following percentage by 100%

100%+0.5%= 1.005

3. We need to find the account balance after 15 months so raise it to the 15th power.

y= 500(1.005)^15

The balance after 15 months will be $538.84.

bye~~

Answer:

y = 1/3 x + 8.

or in standard form:

x - 3y = -24.

Step-by-step explanation:

To answer this we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Here we have m = 1/3 and (x1, y1) = (-3, 7), so:

y - 7 = 1/3(x - (-3))

y - 7 = 1/3( x + 3)

y - 7 = 1/3 x + 1

y = 1/3 x + 8 .

This is the slope-intercept form of the equation.

Converting to standard form, we first multiply by 3:-

3y = x + 24

- x + 3y = 24

x - 3y = -24.

Answer:

[tex]600(1.08)^x[/tex]

Step-by-step explanation:

you would plug in the amount of months for x, not sure what you are really looking for? but 12 months would be [tex]600(1.08)^12=1510.90[/tex]

not sure why the 12 looks weird, but that is to the power of 12.

Answer:

170 yards

Step-by-step explanation:

First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)

1st: Up along the width |

2nd: sideways along the length ----

3rd: diagonally back to the starting point /

This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.

Equation representation:
60 + 80 = 140 yards

x = 60 divided by 2
x = 30 yards

60 + 80 + 30 = 170 yards




Have a great rest of your day
#TheWizzer

Answer:

10 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

p = k / sqrt(q)

The first job is to find k.

p = 12

q = 36

Solution for k

12 = k / sqrt(36)

sqrt(36) = +/- 6

Multiply both sides by +/-6

12 * +/- 6 = k

k = +/- 72

Solution for q = 16

p = +/-72/ sqrt(16)

p  = +/- 72 / sqrt(16)

p = +/- 72 / +/-4

p = 18

Answer:

Don't Understand.

Step-by-step explanation:

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