3x + 14 = 20 - 2x. What is x and how to solve it?

Basile [38]

39 > -7 (greater then)

4 0

3 years ago

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11

stepan [7]

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

5 0

4 years ago

Mrs. Taylor spent $420 on groceries for the week and paying bills. This is 30% of her income for the month. How much money does

natita [175]

Answer: Ms. Taylor earns $1400 a month (good for her)

Step-by-step explanation:

420/3 = $140

$140 x 10 = 1400

5 0

3 years ago

A survey of athletes at a high school is conducted, and the following facts are discovered: 33% of the athletes are football pla

sergejj [24]

Answer: 0.79 or 79%

Step-by-step explanation:

Given : The probability that the athletes are football players : P(A)=0.33

The probability that the athletes are basketball players: P(B)=0.66

The probability that the athletes play both football and basketball : P(A∩B)=0.20

Now, the probability that the athlete is either a football player or a basketball player is given by :-

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\=0.33+0.66-0.20=0.79$

Hence, the probability that the athlete is either a football player or a basketball player = 0.79

Or we can write it as 79%.

5 0

4 years ago

Read 2 more answers

Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9

Tomtit [17]

Step 1

Given;

$\begin{gathered} y=\frac{1}{8}x-9 \\ with\text{ points \lparen1,-6\rparen} \end{gathered}$

Required; Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9

Step 2

For perpendicular lines, the relationship between the slopes is;

$m_1=-\frac{1}{m_2}$ $\begin{gathered} m_1=\frac{1}{8} \\ \frac{1}{8}=-\frac{1}{m_2} \\ m_2=-8 \end{gathered}$

The y-intercept is found thus;

$\begin{gathered} y=-8x+b \\ b=y-intercept \\ y=-6 \\ x=1 \\ -6=-8(1)+b \\ b=-6+8=2 \end{gathered}$

Answer; The required equation will be;

$y=-8x+2$

4 0

1 year ago