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3 years ago

Find the nth term of the sequence: 9, 4, -1, -6, -11,.............

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

-15

Step-by-step explanation:

goes down -5 each time

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Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50

Archy [21]

Answer:

$\text{p}=\$1.20\text{c}-\$20$

Step-by-step explanation:

GIVEN: Catherine sells cupcakes c for $\$1.50$ each, The ingredients for each cupcake cost her $\$0.30$ , and the sum of all her other expenses is $\$20/\text{month}$ .

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake $=\$0.30$

sum of all other expenses $=\$20/\text{month}$

Selling price of each cupcake $=\$1.50$

Total cupcakes sold $=\text{c}$

Now,

As we know that $\text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}$

putting values,

$\text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20$

$\text{p}=\$1.20\text{c}-\$20$

Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is $\text{p}=\$1.20\text{c}-\$20$

8 0

3 years ago

Complete the table using the rule y=x-1/4

IgorLugansk [536]

If y=X-1/4 then this is what your chart will look like:

Y = X
1 = 0.75
2 = 1.75
3 = 2.75
4 = 3.75
5 = 4.75

Plz mark brainliest

3 0

3 years ago

Tom put 18 gallons of mid grade gas in his truck and filled up his empty five gallon gas tank with regular gas for his lawn mowe

LuckyWell [14K]

Answer:

Mid grade gas per gallon = $2.67

Regular gas per gallon = $2.37

Step-by-step explanation:

Let, x= mid grade gas, y=regular gas.

So, for 18 gallons of mid grade gas and 5 gallon of regular gas at $59.91, it can be expressed as,

$18x+5y=59.91$ ------------------(equation 1)

for 14 gallon of mid grade gas and 1 gallon of regular gas at 39.75, it can be expressed as,

$14x+y=39.75$ -------------------(equation 2)

$y=39.75-14x$ -------------------(equation 3)

Now substituting the value of y from (equation 3) in (equation 1) we get,

$18x+5y=59.91$

$18x+5(39.75-14x)=59.91$

$18x+198.75-70x=59.91$

$52x=198.75-59.91$

$52x=138.84$

$x=\frac{138.84}{52}$

$x=2.67$ -------------------------(equation 4)

Now substituting value of x from (equation 4) in (equation 3) we get,

$y=39.75-14x$

$y=39.75-(14\times2.67)$

$y=39.75-37.38$

$y=2.37$

Therefore price per gallon of mid grade gas is x = $2.67, and price per gallon of regular gas y = $2.37.

4 0

3 years ago

Which of the following expression is equivalent to a+(-b)

Leni [432]

Answer:

I can see any expressions

5 0

3 years ago

Help please if you know it

PSYCHO15rus [73]

See how there are two rectangle prisms? Find the area of both of them separate, and then add the two answers together.

Hope this helps!!

6 0

3 years ago