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Nataly_w [17]
2 years ago
14

Trey has money saved for a school trip. He earns an additional $40 moving lawns to add to his savings. Trey's parents give him e

nough money to double the amount he has so far for the trip. Now, Trey has a total of $234 for the trip. Write and solve an equation to find the amount Trey has saved before mowing lawns.​
Mathematics
1 answer:
Alenkasestr [34]2 years ago
6 0

Answer:

X= 232÷ 2-40

     

Step-by-step explanation:

so first you minus the 40 giving you 192. The you do 192 ÷ 2 giving you 96$. So Trey had 96$ saved before mowing lawns.

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Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
Artyom0805 [142]

Answer:

Step-by-step explanation:

Given the two inequalities:

y \ge 2x + 1\\ y \le 2x - 2

To graph them, first of all, let us write their corresponding equations:

y = 2x + 1 \\y = 2x - 2

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation y = 2x + 1:

Putting x = 0, y = 1

Putting y = 0, x = -\frac{1}2.

Two points are (0, 1) and (-\frac{1}2, 0).

Equation y = 2x -2:

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3

Which is true.

So, The shaded region will be <em>towards point (1,4).</em>

<em></em>

Let us take a point (1, 4) and check whether it satisfies the second inequality.

4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]

So, The shaded region will be <em>opposite to point (1,4).</em>

Please refer to the attached graph for the answer.

<em>No solution exists for them because there is no common shaded region</em>.

3 0
2 years ago
Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
Mandarinka [93]

Answer:

25%

Step-by-step explanation:

4 0
1 year ago
The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
Crazy boy [7]

Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be
hammer [34]

Write and solve an inequality:

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First, subtract $5.42 from $87.50:  then ($1.08/therm)(t) ≤ $82.08

Next, divide both sides by $1.08 per therm:


t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum).  Thus, Rameen's usage could be [0,76] (therms).

3 0
2 years ago
erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b
bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

Let the number of bracelets made by Erica  = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

3x + 2y = 60  ....  (2)

Solving the above system  substitute y =  25- x in (1)

we get: 3x + 2y = 60 ⇒  3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x  =  25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

8 0
2 years ago
Read 2 more answers
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