at 43 years old, your uncle is 6 years younger than your mother. How old is your mother. Write an expression

Divide (6-q+8q^3-4q^2)/(2q-2)

mestny [16]

Answer:

Step-by-step explanation:

4q2 + 2q + 3

(2q - 2) l _ 8q3 - 4q2 - q + 6

8q3 - 8q2

_ 4q2 - q

4q2 - 4q

_ 3q + 6

6q + 6

-3q (remainder)

4q2 + 2q + 3 -3q / (2q - 2)

hope this helps

4 0

3 years ago

ben earns $9 per hour and $6 for each deilvery he makes.he wants to earn more than $155 in an 8-hour workday.what is the least n

barxatty [35]

So in a 8 hour workday he would make $72... 9x8=72
now 155-72= 83
83/6= a little over 13
so he would at least have to make 14 deliveries
:)

7 0

4 years ago

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

a.

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

b.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago

Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of w

Leviafan [203]

5 parts of water plus 2 parts of vinegar.

1 part of water = (2/5) parts of vinegar

= 0.40 parts of vinegar.

So Tim mixed 0.40 parts of vinegar with each (1) part of water.

3 0

3 years ago

What’s the element?

FromTheMoon [43]

Explanations and Steps:

How to find the elements:

*Take every element (either one capital letter OR two letters with the first capital and second lowercase)

*Reference the periodic table to find the element name

The number of reactants:

*Reactants are on the left side, what there is before the reaction

*Each reactant is separated by the + sign

*They may be more than one element

The number of products:

*Products are on the right side, what there is after the reaction

*Each product is separated with the + sign

*They may be more than one element

Is it balanced:

Count the number of each element on both sides. It is balanced if both sides have the same number of every element.

*Write out each of the element symbols for each side

*Remember the multiply subscripts (little numbers) by coefficients (big numbers)

Answers:

6.

The elements are:

H - hydrogen

Cl - chlorine

Ca - calcium

O - oxygen

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

H 4

Cl 2

Ca 1

O 2

Products:

H 2

Cl 2

Ca 1

O 1

It's not balanced because H and O have different numbers of atoms in the reactants and products.

7.

The elements are:

K - potassium

Cl - chlorine

O - oxygen

# of reactants: 1

# of products: 2

Is it balanced?

Reactants:

K 1

Cl 1

O 3

Products:

K 1

Cl 1

O 2

It's not balanced because there are three oxygen atoms for reactants but only two oxygen atoms in the product.

8.

The elements are:

K - potassium

P - phosphorus

O - oxygen

H - hydrogen

Cl - chlorine

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

K 3

P 1

O 4

H 1

Cl 1

Products:

K 3

P 1

O 4

H 3

Cl 3

It's not balanced because H and Cl have different numbers of atoms.

9.

The elements are:

S - sulphur

O - oxygen

# of reactants: 2

# of products: 1

Is it balanced?

Reactants:

S 2

O 6

Products:

S 2

O 6

It's balanced because both sides have 2 sulphur atoms and six oxygen atoms.

10.

The elements are:

K - potassium

I - iodine

Pb - lead

N - nitrogen

O - oxygen

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

K 2

I 2

Pb 1

N 2

O 6

Products:

K 1

I 2

Pb 1

N 1

O 3

It's not balanced because K, N and O have different numbers of atoms.

4 0

4 years ago