Explain how you know when 2 ratios are proportional.​

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

The equivalent expression is [tex]x^{16}y^{22}[/tex]

Answer:

525 minutes

Step-by-step explanation:

Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.

Her monthly budget is $29.50.

Let Tamara can make a maximum number of n minutes call in a month.

So, call charges for n minutes = $0.02n

Total monthly expenses on her phone = 19+0.02n

As her monthly budget is $29.50.

So, 19+0.02n=29.50

0.02n=29.50-19

0.02n=10.50

n=10.50/0.02

n=525

Hence, she can make a maximum of 525 minutes call.

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

Answer: -2.5,   -5.5

Step-by-step explanation:

5x - y= -7

3x - y= -2 multiply by -1

5x - y= -7

-3x + y= +2 we add both equations

2x=-7+2,  2x=-5,   x=5/2= -2.5

5(-2.5)-y=-7

- 12.5-y= -7 we simplify and get

-y=-7+12.5,             -y=5.5,    y=-5.5

Answer:

- 16x + 3y

Step-by-step explanation:

this can be done in two ways- vertical method or horizontal :

I did one:

( i hope this is right)

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer: no, because it’s he total distance of 32 miles is repeated in the table

Step-by-step explanation:

I passed the test

Answer:

The property used here is: Multiplication property of Equality

Step-by-step explanation:

Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways

Way 1: Solving using proportion:

[tex]\frac{x}{4}=\frac{36}{16}[/tex]

By cross multiplying:

[tex]16x=144[/tex]

Divide both sides by 16

[tex]x=9[/tex]

Way 2:

She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps

Multiply both sides by 4

[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]

We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]

The property used here is: Multiplication property of Equality

The property states that if A , B and C are real numbers then

A = B and AC = BC are equivalent.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

Answer:

Mean = 12.85714

Median = 15

Range = 15

Step-by-step explanation:

Mean:

5 + 15 + 10 + 20 + 15 + 10 + 15 = 90

90 / 7 = 12.85714

Median:

5, 10, 10, 15, 15, 15, 20

Median = 15

Range:

20 - 5 = 15

Answer:

The light blue/greenish one that says T=PV/K or Greeland

Step-by-step explanation:

We can make the equation more simplier by multiplying both sides by P to remove fractions.

It would become VP=KT

The only answer with VP or PV is B, or the T=PV/K

also, to isolate T, divide the VP=KT by K on both sides to isolate T.

VP/K=T

Answer:

A triangle has sides of lengths 9,7, and 12 is not a right triangle .

i believe the answer is  B.

Answer:

b = 12

Step-by-step explanation:

a² + b² = c²

a and b are the length of the sides in the right triangle and c is the hypotenuse.

since we know one leg and the hypotenuse, we can find the other leg.

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b² = 144

b = 12

Answer:

The answer is 12

Step-by-step explanation:

the formula is A^2+B^2=c^2

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b² = 144

b = 12

Answer:  c) 2x² - 2x + 4

Step-by-step explanation:

Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer:

9 pounds of chocolate candy

6 pounds of sugar candy

Step-by-step explanation:

x will represent pounds of chocolate candies used

y will represent pounds of sugar candies used

x + y = 15

x · $7.00 + $2.00 · y = $5.00 · 15

x = 15 - y

(15 - y) · $7.00 + $2.00 · y = $5.00 · 15

105 - $5.00 · y = 75

105 - 75 = $5.00 · y

$30 = $5.00 · y

$30 ÷ $5 = y

$30 ÷ $5 = 6

y = 6

x + y = 15

x + 6 = 15

x + 6 - 6 = 15 - 6

x = 9

Answer:

80%

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

yes dear. .............

Answer:

X intercepts (-30,0)

Y intercepts (0,-3)

Answer:

I believe the answer is D

Step-by-step explanation:

after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver

Answer:

The answer seems to be D

Step-by-step explanation:

I cannot really confirm but I am most certain it is D.

Answer:

y=x-5

Step-by-step explanation:

2x-2y=10

1.) subtract 2x from both sides

-2y=-2x+10

2.) Divide by -2 to get y by itself

y=x-5

Answer:

y= x+5

Step-by-step explanation:

y =mx+b is slope intercept form

Answer:

C

Step-by-step explanation:

The equatipn of the function that represents the same relationship is

h(x)=-3x-10.5

The slope intercept form of equation of line is y=mx+b

where m is the slope and b is the y intercept .

We are given with a table that represents the linear function

Pick any two points from the table to find out slope

(-3.5,0) and (-1,-7.5)

[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]

Now we find out y intercept b . use point slope form

[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]

The equation of the function that represents the same relationship is

h(x)=-3x-10.5

Learn more information about 'Equation of lines' here

brainly.com/question/27232782

Answer:

the answer is x ≥ 6

Step-by-step explanation:

x ≥ 8 - 2

x ≥ 6

Answer:

She spent 51 dollars on pants and 22 on t-shirts so she bought 4 shirts

Step-by-step explanation: