The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side

Answer:

Option (D)

Step-by-step explanation:

Area of a rectangle = Length × width

Area of large rectangle = (3x - 1)(3x + 7) square units

                                       = (9x² + 21x - 3x - 7)

                                       = 9x² + 18x - 7

Area of small rectangle = (2x + 5)x

                                       = (2x² + 5x) square units

Area of the shaded region = Area of large rectangle - Area of small rectangle

= (9x²+ 18x - 7) - (2x² + 5x)

= (9x² - 2x²) + (18x - 5x) - 7

= (7x² + 13x - 7) square units

Therefore, Option (D) will be the correct option.

The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]

The dimension of the big rectangle is given as:

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (3x - 1) \times (3x + 7)[/tex]

Expand

[tex]Area = 9x\² + 21x - 3x - 7[/tex]

[tex]Area = 9x\² + 18x - 7[/tex]

The dimension of the small rectangle is given as:

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (2x + 5) \times x[/tex]

Expand

[tex]Area = 2x\² + 5[/tex]

The area of the shaded region is the difference between the area of the big and small rectangles.

So, we have:

[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]

Expand, and collect like terms

[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]

[tex]Area = 7x\² + 13x - 7[/tex]

Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]

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Answer:

y=-4x+8

Step-by-step explanation:

Since the slope is given to you, you already know part of the equation. slope is equal to mx. So y=-4x. the B in y=mx+b is y-intercept. The y intercept is where the line comes in contact with the y axis. On a coordinate plane the y intercept would be Y [ex; (x,y)]. It gives you (3,8) so the y intercept would be +8 since the point is positive and not negative.

I- I'm speechless

Do you even have a question-

Answer:

5

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Each y-value in the table is 1 less than 4 times the corresponding x-value.

Answer:

millers is cheper instead of 3.72 for 6 pond 0.64 is better because what if some one only wants 1 pond then they only should pay 64 cents

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The formula for area is a=lw

So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.

Answer:

Step-by-step explanation:

Let the consecutive integers be x - 1 , x , x + 1

Equation

2*(x - 1 + x) = 3*(x+1) - 2

Solution

2(2x - 1) = 3(x + 1) - 2           After the first two have been combined remove the brackets.

4x - 2 = 3x + 3 - 2               Combine the right

4x - 2 = 3x + 1

4x - 2 + 2 = 3x + 1 + 2         Add 2 to both sides

4x = 3x + 3                          Subtract 3x from both sides

4x-3x = 3x - 3x + 3             Combine

x = 3

Check

Left hand side

2(2 + 3)

2(5)

10

Right hand side

3*(x+1) - 2

3*(4) - 2

12 - 2

10

The answers at least agree.

3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9

Answer:

B

Step-by-step explanation:

1) divide -21/-6 which gives you 7/2

2) Since v are both the same bases we can subtract to 6-8 = -2

3) A negative goes to the denominator. Therefore, it’s B

Answer:

1.76

Step-by-step explanation:

0.79 + 0.97

The number 1.76 is 0.79 more than 0.97.

A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.

Given what number is 0.79 more than 0.97,

Let the number be x,

x = 0.79 + 0.97

x = 1.76

Hence, the number 1.76 is 0.79 more than 0.97.

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Answer:

Well the answer for it would be 12.

But if you wanted it worded as a word sentence sorta then say it as ninety-two minus negative parenthese eighty-four minus 4 parenthese.

Answer:

Give me the written expressions so that I can answer this properly.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

10 x 10 x 10 x 10 = 10,000

Answer: If gary works for 12.5 hours he will make 75 dollars.

Step-by-step explanation:

you would divide 48/8 to get 6

Then multiply 6 by 12.5

BTW- Gary should not work for this little ammount. This is under minimum wage

Answer:

75

Step-by-step explanation:

12 1/2 = 12.5

I divided 8 into 48 which is 6

Then I multiplied 12.5 and 6 = 75

Answer:

First you need to get your variable(x) by itself.

You do that by adding 16 to both sides of the greater than sign.

The 16 cancels or goes away. and 16 + 4 =20.

Your new equation is 20<4x

Finally you divide 20 by 4 to get 5

Your answer is 5<x or x>5.

Answer:

3/x

Step-by-step explanation:

it just is

Answer:

He has earned $31.25 for his basketball team.

Step-by-step explanation:

25 * 1.25 = 31.25

Answer:

i promise all the answers are here and explained just scroll

to page 3

Answer:

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Answer:

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

Answer:   -1.4

The opposite of -1.4 is 1.4; you flip from negative to positive.

Then taking the opposite of 1.4 gets us back to -1.4 again

Effectively the two opposites cancel out and nothing changes.

Answer:

-1.4

Step-by-step explanation:

because if it says the opposite then

it goes like this

opposite one time = positive 1.4

then do the opposite of a positive = -1.4

Answer:

78 3/4 I think is the answer

Answer:

Weight of 15 bags in Kg: 299.4 Kg

Volume of 15 bags in cubic yards: 1.11 cubic yards

Step-by-step explanation:

Weight of 15 bags is calculated as follows:

Let's convert 44 pounds to Kg.

1 pound-------0,453592 Kg

44pounds------x

To find the weight of 15 bags we have to multiply the weight of one bag by 15:

Weight of 15 bags=19.95*15=299.4 Kg

Volume of 15 bags is calculated as follows:

First we need to convert one bag volume that is given in cubit feet to cubic yards:

1 cubic feet---------------0.03704 cubic yard

2 cubic feet----------------x

To find the volume of 15 bags we have to multiply the volume of one bag by 15:

Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards

Step-by-step explanation:

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]

[tex]= 0.25\times 2401=600.25\approx601[/tex]

Hence, the minimum sample size required = 601

Answer:

a, b, and c are the correct answers.

Answer:

A, B, and E

Step-by-step explanation:

-3(30-20w)=-90+20w so not C

(6+4w)x15=90+60w so not D

Answer:

Raul would ride 18 miles.

Step-by-step explanation:

60/10 =6

3x6=18

Answer:

18 miles is your answer

Answer:

y = 14

Step-by-step explanation:

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

Answer: mD=115, mE=49, mF=16

Step-by-step explanation:

DEF is a triangle and were told to find angle measures.

If m∠E is (3F+1) and m∠D is (7F+3)

Use T-angle sum theorem and plug previous terms 7F+3+3F+1+F=180 which give F=16. Then substitute F=16 with angles D and E to find last results.

The measure of m∠D  is 115 degrees

In the given triangle ∆DEF, if m∠E is one more than three times m∠F, hence;

m∠E = 3m∠F + 1

Similarly, if m∠D is three more than seven times m∠F, then;

m∠D = 7m∠F + 3

Taking the sum of the angles and equate it to 180 degrees

m∠D + m∠E + m∠F = 180

7m∠F + 3 + 3m∠F + 1 + m∠F = 180

11m∠F + 4 = 180

11m∠F = 180-4

11m∠F = 176

m∠F = 16

Since m∠D = 7m∠F + 3

m∠D = 7(16) + 3

m∠D = 115 degrees

Hence the measure of m∠D  is 115 degrees

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Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

Answer:

1. [tex] h = -3t + 18 [/tex]

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

[tex] h = -3t + 18 [/tex]

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.