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slavikrds [6]
3 years ago
7

PLZ HELP!!!

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

187.74\:\mathrm{cm}

Step-by-step explanation:

The area of a rectangle is given by l\cdot w. Therefore, we can set up the following inequality:

l\cdot 16 \leq 3,003.84.

Solving this inequality, we have:

l \leq 187.74.

Therefore, the largest length Carmen's painting can be is \fbox{$187.74\:\mathrm{cm}$}.

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The area of a rectanglular sandbox is (5x + 40) feet. Factor 5x + 40 to find possible dimensions of the sandbox
kotegsom [21]
5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40

Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.

We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is. 
6 0
3 years ago
What is the value of x^2 divided by y^4 when x=8 and y=2
7nadin3 [17]

Answer:

4

Step-by-step explanation:

64/16=4

7 0
3 years ago
What is 4(1 + 9x) simplified?
konstantin123 [22]

Answer:

4 + 36x is your expression

Step-by-step explanation:

4 x 1 = 4

4 x 9x = 36x

so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.

7 0
3 years ago
Read 2 more answers
Solve sin2x + 2sinx = 0 for 0 ≤ x < 2π. ...?
IgorC [24]
Sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0,  cos x + 1 = 0,  cos x = - 1;
Answer:
x = 0,  or x = π
3 0
3 years ago
Jane’s buying clothes. She can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. How muc
makkiz [27]

Cost of 1 shirt is \$25 and cost of one sweater is \$26

<u>Solution: </u>

Given that  Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for \$229

She can get 2 shirts & 3 sweaters for \$128

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = \$x

And assume cost of 1 sweater = \$y

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = \$229

\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}

So using first condition equation which we get is as follows

5 x+4 y=229 \rightarrow (1)

Second condition is Cost of 5 shirt + cost of 4 sweater = \$128

\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}

So using second condition equation which we get is as follows

2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)

Now we have two equations to be solved

\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}

On subtracting (3) from (4), we get

\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}

On substituting y = 26 in equation (1) we get

\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}

Cost of 1 shirt = \$x = \$25

Cost of 1 sweater = \$y = \$26  

7 0
3 years ago
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