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irga5000 [103]
3 years ago
12

Mr. Schwartz is buying conversation hearts for his children for Valentine’s Day. Each box cost $1.25. He has a coupon for $0.50

off his total purchase. Write an equation to find c the total amount he will spend on conversation hearts h. Then use the equation to find the amount he will spend if he buys 4 boxes.
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

c(n) = $1.25n - $0.50,

c(4) = $4.50

Step-by-step explanation:

if c = cost

and n = number of boxes

c = $1.25n - $0.50

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adoni [48]

Hi,

Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as:  5p + 3p + 2p = 140,000  -->  10p = 140,000 --> 10p/10 = 140,000/10  -->  x = 14,000.

Alyssa gets 5p or (5 x 14,000)

Bart gets 3p or (3 x 14,000)

Meghan gets 2p or (2 x 14,000)

If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.

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My friend has $729 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $18/yard on one si
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Answer:

two consecutive negative integers have a product of 110 . what are the integers?

Step-by-step explanation:

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3 years ago
What is the quotient of -8(^6)/4x(^-3)
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For this case we must find the quotient of the following expression:

\frac {-8x ^ 6} {4x ^ {- 3}} =

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the expression we have:

\frac{-8}{4}*x^6*x^3

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

-2x^{6+3}

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What should be included in a financial plan to protect assets? a. how much money you will make b. how much money you will have i
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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
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1 year ago
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