Tony's family owns a Chihuahua that gets 3 dog bones each day for doing tricks. Tony has a total of
16 dog bones he must give his dog for doing tricks. Write an algebraic equation that describes the
relationship between the number of days (d) and the number of bones remaining (b).

Answer:

f(x) = 2x² - 7x + 3

Step-by-step explanation:

Given the roots are x = [tex]\frac{1}{2}[/tex] and x = 3, then the corresponding factors are

(x - [tex]\frac{1}{2}[/tex] ) and (x - 3), that is

(2x - 1) and (x - 3)

The equation is then the product of the roots, that is

f(x) = (2x - 1)(x - 3) ← expand factors using FOIL

f(x) = 2x² - 7x + 3 ← in standard form

Answer:

B is the answer.

First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75

Answer:

8

Step-by-step explanation:

-4x+34>2

4x>34-2

4x>32

divide both sides by 4

x>8

Answer:

one solution = a, that is your answer

Answer:

D) No solution

Step-by-step explanation:

That is because...

x-y=4              2x-2y= -8

-y= -x+4          -2y= -2x-8

y= x-4              -y= -x -4

                       y=x+4

y=x-4 does not equal to y=x+4

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25

[tex]\sqrt[3]{8}[/tex] = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

Answer:

The pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Step-by-step explanation:

The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:

A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.

To multiply these two numbers, we get;

= 12 × 6¹⁰

= 12 × 60466176

= 725594112

Now, the pattern to use when multiplying a decimal by a power of ten.

A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.

Let say our decimal number is 1.2 and our number raised to the power of ten is   6¹⁰

Then, To multiply these two numbers, we get;

= 1.2 × 6¹⁰

= 1.2 × 60466176

= 72559411.2

Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Answer: 5 miles

Step-by-step explanation: Hope this helps :)

Answer:

Following the steps given below you can solve any inequality.

Step-by-step explanation:

I will give an example and explain you step by step of solving an inequality.

Consider an inequality: [tex]2x+4 > 8[/tex]

In this inequality we need to find the value of x.

Step 1: Write the inequality

[tex]2x+4 > 8[/tex]

Step 2: Subtract 4 on both sides of inequality

[tex]2x-4 > 8-4\\2x>4[/tex]

Step 3: Now, you have divide both sides by 2 to get value of 4

[tex]\frac{2x}{2}>\frac{4}{2}\\x>2[/tex]

So, solving the inequality we find value of x: [tex]x>2[/tex]

Following these steps you can solve any inequality.

I hope it will help you.

Answer:

The expression is

[tex]y=8.99+2.5x[/tex]

Step-by-step explanation:

Step one:

given data

cost per person for entry/admission= $8.99

cost per ride= $2.5

we are told that  Elian went on six rides

Step two:

let the number of rides be x

the linear function for the total cost at  the Gwinnett county fair for each person is

[tex]y=8.99+2.5x[/tex]

for x=6

y=8.99+2.5(6)

y=8.99+15

y=23.99

The total amount Elian spends is $23.99

Answer:

Okay, So neither a spade nor a jack.

Total no. of cards in adeck =52  

Number of spades =13  

Total number of non-spades out of  52  cards  =52−13=39  

Number of jack out of 52  cards =4  

Number of jack in each of three suits namely hearts, diamonds and clubs =  3  

[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is  3 ]

Neither a spade nor a jack  =39−3=36  cards in total.

Therefore, probability of getting ‘neither a spade nor a jack’=

NumberoffavorableoutcomesTotalnumberofpossibleoutcome  

=(362)/(522)  

=630/1326=105/221

Step-by-step explanation:

I hoped i helped i might have put to much but there u go!!

Answer:

12

Step-by-step explanation:

[tex]We\ know\ that\ distance\ between\ two\ points\ on\ a\ graph\ is\ given\ by\\\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\x_1=0\\x_2=1\\y_1=-5\\y_2=7\\Substituting\ them\ in\ our\ formula,\ we\ get:\\\sqrt{(1-0)^2+(7-(-5))^2}\\=\sqrt{1+(7+5)^2} \\=\sqrt{1+144}\\=\sqrt{145}\\=12.04\\Hence\ it\ rounds\ off\ to\ 12.\\[/tex]

Answer:

[tex] p = {8}^{7}[/tex]

Step-by-step explanation:

[tex](8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

If u mean :

[tex]3 \times {5}^{2} = [/tex]

[tex]3 \times 25 = 75[/tex]

_________________________________

If u mean :

[tex]( {3 \times 5})^{2} = [/tex]

[tex] {15}^{2} = 225[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

127.28 ft

Step-by-step explanation:

Using the Pythagorean Theorem we have the following:

90^2 + 90^2 = (distance)^2

8,100 + 8,100 = (distance)^2

16,200 = (distance)^2

(distance) = (sq root sign)16, 200 = (sq root sign)25 ∗ 648 = 5 (sq root sign)36 ∗ 18

(distance)^2 = 5 ∗ 6 (sq root sign)18 = 30 (sq root sign)9 ∗ 2 = 3 ∗ 30 (sq root sign)2

(distance)^2 = 90 (sq root sign)2 = 127.28 feet

i didnt know what to do for the square root sign lol but thats straight from my paper

either $0.50 × $1 or $0.50÷ $1 hope this answer helps

Answer:

5 minutes

Step-by-step explanation:

hope it helps

Answer:

A. 123 minutes

Step-by-step explanation:

Answer:

n=-6

Step-by-step explanation:

3n+14=-4

3n=-18

n=-6

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

Answer:

a

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If you rotate the triangle you can see that the base is 16 and since WX is the mid segment that means it's half of the base so half of 16 is 8.

Given :

Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.

To Find :

How many tickets were sold to students.

Solution :

Ticket sold to teachers, T = 563 .

Ticket sold to parents, P = 904 .

Let, ticket sold to students are S.

Now, it is given that :

S = T + 904

S = 563 + 904

S = 1467  students

Therefore, tickets sold to students are 1467 .

Hence, this is the required solution.

Answer:False, true, true, false

Step-by-step explanation:

The first one is false because 2 & 5 equal 180 together. B is true because they equal the same thing. C is true because they equal 180 together. And D is false because those don’t equal 180.

Answer:

24 hours

Step-by-step explanation:

Given that:

One time fee for renting the Jet ski = $50

Per hour charges to rent one Jet ski = $90

Total money available = $2210

To find:

Number hours [tex]X[/tex] it will take to spend the total money.

Solution:

Charges for renting the jet ski for one hour = $90

Charges for renting the jet ski for [tex]X[/tex] hours = $90[tex]X[/tex]

As per question statement, it can be written that:

One time Charges + Charges for renting the jet ski for [tex]X[/tex] hours = $2210

[tex]\Rightarrow 50 + 90X=2210\\\Rightarrow 5+9X=221\\\Rightarrow 9X=216\\\Rightarrow X =\bold{24\ hours}[/tex]

Answer:

Step-by-step explanation:

Function given

Each game costs $0.5 so 10 games cost 10*0.5 = $5

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

Answer: 96ft

Step-by-step explanation:

Width times hight equals area. So 12x8=96ft

Answer:

the answer 96 feet

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = [tex]\frac{10}{5}x[/tex]

y = 2x

Answer:A true

Step-by-step explanation: