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Harlamova29_29 [7]

2 years ago

12

Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of c

offee costs $1.50 and after buying 4 cups of coffee , the card had a $9 remaining balance. Write an equation for A in terms of x

1 answer:

german2 years ago

7 0

Answer:

A = (cost per cup of coffee * number of cups) + balance

$15

Step-by-step explanation:

Given that :

Cost per cup of coffee = $1.50

Number of cups purchased = 4

Balance on card = $9

Let A = worth of gift card

A = (cost per cup of coffee * number of cups) + balance

A = (1.50 * 4) + 9

A = 6 + 9

A = $15

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Answer:

$(a)\ x < 150$

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Step-by-step explanation:

Given

$Amount = 150$ --- not more than

$x \to$ spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

$Spending < Amount$

$x < 150$

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, $x = 149; x = 148$

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3 years ago

For f(x) = 3x + 1 and g(x) = x^2 - 7, find f(g(4)).

kodGreya [7K]

First, let's find g(4). After we find it, we can substitute the value into $f(x)$ .

To find g(4), we need to substitute x = 4 into the function $g(x)$ , as shown below:

$g(x) = x^2 - 7$

$g(4) = 4^2 - 7$

$g(4) = 9$

Now that we have found g(4) = 9, we can substitute this value in for $x$ in $f(x)$ .

$f(x) = 3x + 1$

$f(9) = 3(9) + 1$

$f(9) = 28$

f(g(4)) is equal to 28.

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3 years ago

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Answer:

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2 years ago

Expand the following

Whitepunk [10]

Answer:

Please complete the question..

Step-by-step explanation:

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3 years ago

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Answer:

B. 5 rolls

Step-by-step explanation:

The areas of the room, not including the ceiling, are discriminated as follows:

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Shorter walls: $(10.5\times8)\times2 = 168ft ^ 2$ (6 inches equals one foot)

Window area: $(4\times3)\times2 = 24ft ^ 2$

Door area: $(7\times3) = 21ft ^ 2$

Area that will be effectively covered:

Total area to wallpaper: $200 + 168 -24 -21 = 323ft ^ 2$

Amount of paper needed: $323\times1.1 = 355.3ft ^ 2$

$30in = 24in + 6in = 2ft + 0.5ft = 2.5ft.$ That is, the area of a roll of paper is $2.5\times30 = 75ft ^ 2$

Number of rolls needed:

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3 years ago

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