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4 years ago

(5p+11)-(3p+7)=-4

Mathematics

1 answer:

fiasKO [112]4 years ago

8 0

Step 1 :Pulling out like terms :

1.1 Pull out like factors :

2p + 8 = 2 • (p + 4)

Equation at the end of step 1 : Step 2 :Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.
 A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : p+4 = 0

Subtract 4 from both sides of the equation :
 p = -4

One solution was found : p = -4

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4 years ago

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A cookie recipe calls for 2 cups of sugar for every 3 cups of flour. Complete the table to show

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Answer:

4 cups of sugar 6 cups of flour. 8 cups of sugar 12 cups of flour.

Step-by-step explanation:

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3 years ago

The high school football team has a fundraiser selling t-shirts. It cost the team an initial $150 for the shirt order plus an ad

Alchen [17]

Answer:

$P(x)=8x-150$

Step-by-step explanation:

Let

x-----> the number of shirts

we know that

The equation of the cost is equal to

$C(x)=2x+150$

The equation of the sell is equal to

$S(x)=10x$

The equation of the profit is equal to

$P(x)=S(x)-C(x)$

substitute the values

$P(x)=10x-(2x+150)=8x-150$

8 0

3 years ago

Jeff invested $3000 in an account that earns 6.5% interest

goblinko [34]

Answer;

= $ 3623.85

Explanation;

To calculate compound interest we use the formula;

FV = OV( 1 + r/100)^n

FV=Future value which is what the value will be after the interest is calculated, this is what you are looking for.

OV=Original value, the amount of money you started with, in this case

3000

r=interest rate, in this case its 6.5

n=years its being compounded annually, in this case 3

= 3000(1 + 6.5/100)^3

= 3623.848875

≈ 3623.85

6 0

3 years ago

As a sales person Jonathan is paid 50 per week +3% of the total Amount he sells. This week he wants to earn at least 100. Write

steposvetlana [31]

Answer:

The Inequality with integer coefficient for the total sales is $5000+3x\geq 10000$

Hence Jonathan should make total sales of at least 1667 to earn at least 100.

Step-by-step explanation:

Given:

Amount paid per week = 50

Addition amount = 3% of Total sales.

Let the Total sales be 'x'.

∴ Additional amount = $\frac{3}{100}x$

Amount he wants to earn this week $\geq$ 100

We need to write the inequality with integer coefficient for the total sales and also to find the total sales.

Solution:

We cans say that;

Amount paid per week plus Additional amount should be greater than or equal to Amount he wants to earn this week.

framing in equation form we get;

$50+\frac{3}{100}x\geq 100$

Now we will make the denominator common using LCM we get;

$\frac{50\times100}{100}+\frac{3}{100}x\geq 100$

$\frac{5000}{100}+\frac{3}{100}x\geq 100$

$\frac{5000+3x}{100}\geq 100$

Multiplying both side by 100 we get;

$100 \times\frac{5000+3x}{100}\geq 100\times 100\\\\5000+3x\geq 10000$

Hence The Inequality with integer coefficient for the total sales is $5000+3x\geq 10000$

On solving the above equation we get;

Subtracting both side by 5000 we get;

$5000+3x-5000\geq 10000-5000\\\\3x\geq 5000$

Dividing both side by 3 we get;

$\frac{3x}{3}\geq \frac{5000}{3}\\\\x\geq 1666.67$

Hence Jonathan should make total sales of at least 1667 to earn at least 100.

5 0

4 years ago