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Norma-Jean [14]
4 years ago
15

Can someone please answer questions 1 -5

Mathematics
2 answers:
Aloiza [94]4 years ago
8 0
The answer is 19
I think soo
larisa [96]4 years ago
4 0
1. Algebraic expression, it consists of a number and a variable

2. The number of times Chris washes the car

3. 28

4. 85

5. 23.9
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Find the dimensions of a rectangle with perimeter 112 m whose area is as large as possible. step 1 if a rectangle has dimensions
Veronika [31]


Please use the solution below:
Let P = perimeter, A = area
As provided above, a = xy and 
We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:
112 = 2x + 2y
56 = x + y

x = 56-y or y = 56-x
Let's solve the perimeter in terms of y using the formula below:
A = (56-y)(y)
Find the derivative of A = 56-y^2 to get the value of y.
dA/dy = 56-2y = 0
y = 56/2
y = 28
To find X, substitute the value of y in the equation x = 56 - y. 
x = 56 - 28
Therefore, x = 28.
We can conclude that the figure is not a rectangle but a square.
7 0
3 years ago
In the following system of equations, determine whether the system has a unique
Rina8888 [55]

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

ax + by = c

Solve it for y to put it into the slope-intercept form:

by = -ax + c

y = -\dfrac{a}{b}x + \dfrac{c}{b}

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

5 0
3 years ago
Guys plz i need help badly I don't understand. I need all answers plz. 20 points
Rina8888 [55]

Answer:

ok

Step-by-step explanation:

8 0
3 years ago
A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions
tiny-mole [99]

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

l = 12 + w

The area of a rectangle is

Area = lw

This implies that:

w(12 + w) = 2880

Expand

{w}^{2}  + 12w = 2880

{w}^{2}  + 12w  -  2880 = 0

(x + 60)(x - 48) = 0

This implies that,

w =  - 60 \: w = 48

The dimensions are positive, the width is 48 and the length is 12+48=60

8 0
3 years ago
Please please help me please
vodomira [7]

Answer: 8) 42°, 65°, 115°     9) 1.5, 2

Step-by-step explanation:

8) Right off the bat I know that the measure adjacent to 157° is

   23°. With both numbers inside the triangle combined, we get

   65° meaning the last number is 115 because that'll add up to 180°

9) Considering the smaller triangle has half the length of the bigger triangle

   The length of the rest are half the size too.

    EF = 1.5

    DF = 2

5 0
3 years ago
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