Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package.



If we want one hot dog for each bun for a picnic, with none left over, what is the least amount of each we need to buy?



How many packages of each item would we have to buy?

Answer:

- 4, 13, - 21, 47

Step-by-step explanation:

Using the recursive rule and a₁ = - 4 , then

a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13

a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21

a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47

Thus the first 4 terms are - 4, 13, - 21, 47

Answer:

m = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-8 = m/-10 - 16

Step 2: Solve for m

Answer:

We have this equation:

-8 = m/-10 -1

We can add 8 at both sides:

-8 + 8 = m/-10 -16 + 8

0 = m/-10 -8

Now, we can multiply -8 by -10 with the objective of having the same denominator (-10) in all numbers:

0 = m/-10 - 8*(-10)/-10

0 = m/-10 +80/-10

Now, we can delete all denominators

0 = m + 80

And we can say m = -80

Now, we can replace it to see if it's true:

-80/-10 - 16 = -8, so we know that's true

-80/-10 -16 = 8 - 16 = -8 ..

Answer:

69

Step-by-step explanation:

just cause

Answer: 131

Step-by-step explanation: that one is good

Answer:

From the graph, it is clear that the point of intersection is:

And the x-coordinate of the point of intersection for the two lines is:

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

[tex]2x-5y=-3[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=-9}[/tex]

[tex]-6y=6[/tex]

so

[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]

solving for y

[tex]-6y=6[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-1=-9[/tex]

[tex]2x=-8[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]

[tex]x=-4[/tex]

Thus, the x-coordinate of the point of intersection for the two lines below will be:

[tex]x=-4[/tex]

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

And the x-coordinate of the point of intersection for the two lines is:

Answer:

23.826

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

There are 3 terms

Step-by-step explanation:

5x, 3y, and 10 are terms so there are three. Terms a separated by signs (like + or -)

Answer:

Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

For the cube first we find the surface on one side which is 3x3=9ft^2

we have 6 sides 9x6=54ft^2

For the pyramid first we find the surface of the base which is 15x15=225in^2

next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2

210+225=435in^2

Answer:

435 inches for pyramid 54ft for cube

Step-by-step explanation:

52.5 x 4=210

15 x 15 = 225

cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft

Answer:

D) 3.0

Hope this helped

Answer:

Oat cereal cost less per oz.

Step-by-step explanation:

OC: 4.37/19=0.23

RC:  3.77/13=0.29

oat cereal shows up as less for one ounce

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

x= 4 or -4

Step-by-step explanation:

take the root of both sides then solve

hope this helped♥

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Answer:

-0.375

Step-by-step explanation:

You can write fractions as equations and solve for a decimal.

-3/8 = -3 ÷ 8

-3 ÷ 8 = -0.375

Answer:

I got you bro

Step-by-step explanation:

-0.38

Answer:

1/3

Step-by-step explanation:

I have a certain way of doing this, I will start from the Y-intercept, let's say its (0, 2), then, if the next point is (3, 4) i will count up 1, to get to point 3 on the graph, then count left/right to point 4. Thus making my slope 1/2.

Hope that made sense!

Answer:

y=1.125x

Step-by-step explanation:

9/8 is the ratio

so, I would do 9/8 which is 1.125. so, one euro is worth 1.125 dollar

y(dollars)=1.125x(euros)

TEST

27 dollars=1.125 • 24

done

Answer:

3x^2+6x+4

Step-by-step explanation:

6x+7+x^2+2x^2-3

3x^2+(7-3)+6x

3x^2+6x+4

Answer: 14 per hour

Step-by-step explanation: divide amount earned by hours worked

Answer:

B. 11+11=10+12

Step-by-step explanation:

11+11 is 22

And 10+12 is 22

So the statement is true because both sides are equal

Answer:

x = -8

y = 5

Step-by-step explanation:

2x = -3y-1

x = (-3y-1)/2

3x + 4y = -4

3[(-3y-1)/2]+4y = -4

(-9y-3/2)+4y = -4 (x2 all)

-9y-3+8y = -8

-9y+8y = -8+3

-y = -5

y = 5

3x+4.5 = -4

3x+20 = -4

3x = -24

x = -8

checking:

2.(-8)+3.5 = -1

-16+15 = -1 (checked)

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

https://brainly.com/question/21449807