The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and the width.

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]

Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]

Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

Learn more about Angle Bisector here:

https://brainly.com/question/28565813

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Answer:

b

Step-by-step explanation:

because u will subtract 0.5 from 8 nine times

8-0.5= 7.5

7.5-0.5=7.0

7.0-0.5= 6.5

6.5-0.5=6.0

6.0-0.5=5.5

5.5-0.5=5.0

5.0-0.5=4.5

4.5-0.5=4.0

4.0-0.5=3.5

Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

Answer:

Step-by-step explanation:

Answer:

the answers in the photo

Step-by-step explanation:

The cost of the mp3 player after the discount is $27.98.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100.

Given

An mp3 player is on sale for 30% off the regular price of $39. 98.

The price of the mp3 player after the 30% is given

[tex]\rm Cost \ of \ player \ after \ discount = Cost \ of \ player \times discount\\\\\rm Cost \ of \ player \ after \ discount = 39.98\times 0.30\\\\\rm Cost \ of \ player \ after \ discount = 11.99[/tex]

The cost of mp3 player after 30% discount is;

= $39.98 - $11.99 = $27.98

Hence, the cost of the mp3 player after the discount is $27.98.

To know more about percentage click the link givem below.

https://brainly.com/question/9776399

Answer:

COMMUTATIVE PROPERTY OF ADDITION

Step-by-step explanation:

Answer:

i think its 9 but im not sure. please dont take my word for it

Answer:

30ft

Step-by-step explanation:

i think by common sense as an high schooler

8 times 5 equals 40ft and 6 times 5 equals 30 ft

Answer:

C 60 inches

Step-by-step -

60 x 2 = 120, which is both lengths, and since he width is half the length, then 30 x 2 = 60. So 130 (length) + 60 (width) = 180. So 60 inches would be the maximum length for both sides.

Answer:

C

Step-by-step explanation:

I just took the unit test

Answer:

$396

Step-by-step explanation:

Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
                                 = 48

∴ Money earned in a day = 48 × $8.25
                                          = $396

Hope this helps!

Answer:

over 18716271717161626cm

To solve this question, we have to:

Doing this, we get that: 6 different such triangles can be made.

Isosceles triangle:

In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.

Perimeter:  

The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.

Constraint:

The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.

This triangle:

Thus, the perimeter is:

[tex]P = 2x + y = 28[/tex]

Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.

x = 1

[tex]2 + y = 28 \rigtharrow y = 26[/tex]

1 + 1 < 26, thus, the constraint is not respected.

x = 2

[tex]4 + y = 28 \rightarrow y = 24[/tex]

2 + 2 < 24, thus, the constraint is not respected.

x = 3

[tex]6 + y = 28 \rightarrow y = 22[/tex]

3 + 3 < 22, thus, the constraint is not respected.

x = 4

[tex]8 + y = 28 \rightarrow y = 20[/tex]

4 + 4 < 20, thus, the constraint is not respected.

x = 5

[tex]10 + y = 28 \rightarrow y = 18[/tex]

5 + 5 < 18, thus, the constraint is not respected.

x = 6

[tex]12 + y = 28 \rightarrow y = 16[/tex]

6 + 6 < 16, thus, the constraint is not respected.

x = 7

[tex]14 + y = 28 \rightarrow y = 14[/tex]

7 + 7 = 14, thus, the constraint is not respected.

x = 8

[tex]16 + y = 28 \rightarrow y = 12[/tex]

8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.

x = 9

[tex]18 + y = 28 \rightarrow y = 10[/tex]

9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.

x = 10

[tex]20 + y = 28 \rightarrow y = 8[/tex]

8 + 10 > 10, the constraint is respected, and this is the third possible triangle.

x = 11

[tex]22 + y = 28 \rightarrow y = 6[/tex]

11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.

x = 12

[tex]24 + y = 28 \rightarrow y = 4[/tex]

4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.

x = 13

[tex]26 + y = 28 \rightarrow y = 2[/tex]

13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.

x = 14

[tex]28 + y = 28 \rightarrow y = 0[/tex]

Cannot have a triangle with a side of 0, so this is not possible.

After the tests, we have that 6 different such triangles can be made.

A similar question is given at https://brainly.com/question/6139098

Answer:

4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077

Answer:

[tex]x=2\sqrt5[/tex]

Step-by-step explanation:

I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.

The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.

Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:

[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]

(where we obviously took only the positive root since x is a lengtth measure.

Step-by-step explanation:

following properties have been used in constructing the kite

1. diagonals at right angles

2. one of the diagonals bisect

3. pairs of consecutive sides are equal

Answer:

Word problem is the operation

Answer:

Step-by-step explanation:

hope this help

Answer:

ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow

26+37=63

ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue

95-63=32

32 blue

Hope This Helps!!!

Answer:

32

Step-by-step explanation:

95-26-37=32

use subtraction

Answer: If this is 2 multiplying the bracket

x+14

If the bracket is raised to the power of 2

1/4x+7x+49

Step-by-step explanation:

(1/2x +7)2

((1/2x*2)+(7*2))

x+14.

(1/2x+7)(1/2x+7)

1/2x(1/2x+7)+7(1/2x+7)

1/4x+7/2x+7/2x+49

Answer: mx+b=y

Step-by-step explanation:

Rise over run

Answer:

i think the answer is 2

Step-by-step explanation:

because it depends on how many brushes u buy so x is how many brushes u buy. and theres the cost

Answer:

(L • W)(x) = 12x^3 − 20x^2 + 24x (the last option)

Step-by-step explanation:

It's very simple actually. To find an area of a rectangle, all we have to do is multiply its two sides. We are given the length and the width of the rectangle - its sides. All we have to do is simply multiply them:
Area = L(x) * W(x)
L(x) = 4x
W(x) = 3x^2 - 5x + 6
Therefore the area is equal to:
(4x) * (3x^2 - 5x + 6) =
= 4x * 3x^2 - 4x * 5x + 6 * 4x =
= 12x^3 - 20x^2 + 24x
And there's your answer, option D, or 4 or whatever you call the last one.

Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

Given that,

Time taken by Hua to complete her homework is 35 minutes

ATQ,

The time taken by Carrie is five less minutes than twice the amount of time as Hua to complete her homework. Let it is x minutes.

The numerical expression for this is given by :

x = 2(times taken by Hua)-5

x = 2(35)-2

Above is the numerical expression for time taken by Carrie.

We can also solve it, x = 70-2 = 68 minutes

Hence, this is the required solution.

[tex]3 = 0.2m - 7[/tex]

[tex]3 + 7 = 0.2m[/tex]

[tex]10 = 0.2m[/tex]

[tex] \frac{10}{0.2} = m[/tex]

plug it on your calculator or multiply 10 by 5

[tex]m = 50[/tex]

9514 1404 393

Answer:

  C.  2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1)  ⇒  xy +y = 3 . . . . sum of exponents is 1+1 = 2

Answer: y=|x-2|+3

Step-by-step explanation:

Answer:

10/20

40/80

80/160

Step-by-step explanation:

5/10 x 2 = 10/20

5/10 x 8 = 40/80

5/10 x 16 = 80/160

Hope this helps!!

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