The area of a rectangular painting is 6600 cm?.
If the width of the painting is 75 cm, what is its length?

Answer:

1)23/20

2)14/5

3)47

4)27/56

5)10/7

6)23/14

7)73/35

8)7/4

Step-by-step explanation:

1)multiply both fractions to get 20 as a common denominator

15/20+8/20=23/20

2)make 1 be 5/5

5/5+9/5=14/5

3)multiply both fractions to get 14 as a common denominator

26/14+21/14=47

4) multiply both sides to get 56 as a common denominator

35/56-8/56=27/56

5)make one 7/7

7/7+3/7=10/7

6)make 14 as the common denominator

2/14+21/14=23/14

7)make 35 the common denominator

28/35+45/35=73/35

8)make 1/2 be 2/4

5/4+2/4=7/4

Answer:

1.[tex]1\frac{3}{20}[/tex]
2.[tex]2\frac{4}{5}[/tex]
3.[tex]3\frac{5}{14}[/tex]
4.[tex]\frac{27}{56}[/tex]
5.[tex]1\frac{3}{7}[/tex]
6.[tex]1\frac{9}{14}[/tex]
7.[tex]2\frac{3}{35}[/tex]
8.[tex]1\frac{3}{4}[/tex]

Step-by-step explanation:

Given the following questions:

In order to add or subtract fractions we must find the common denominator, and then add the numerators. To subtract we complete the same steps but subtract the numerators instead of adding them. Of course, converting the improper fraction into a mixed number if needed.

Question one:

[tex]\frac{3}{4} +\frac{2}{5}[/tex]
[tex]CD=20[/tex]
[tex]\frac{3}{4} \times5=\frac{15}{20}[/tex]
[tex]\frac{2}{5} \times4=\frac{8}{20}[/tex]
[tex]\frac{15}{20} +\frac{8}{20}[/tex]
[tex]15+8=23[/tex]
[tex]=\frac{23}{20}[/tex]

Convert into mixed number:
[tex]\frac{23}{20}[/tex]
[tex]=\frac{23}{20}=23\div20=1\frac{3}{20}[/tex]
[tex]=1\frac{3}{20}[/tex]

Your first answer is indeed "1 3/20."

Question two:

[tex]1+\frac{9}{5}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]\frac{1}{1} +\frac{9}{5}[/tex]
[tex]CD=5[/tex]
[tex]\frac{1}{1} \times5=\frac{5}{5}[/tex]
[tex]\frac{9}{5} \times1=\frac{9}{5}[/tex]
[tex]\frac{5}{5} +\frac{9}{5}[/tex]
[tex]5+9=14[/tex]
[tex]=\frac{14}{5}[/tex]

Convert into mixed number:
[tex]\frac{14}{5}[/tex]
[tex]\frac{14}{5}\di=14\div5=2\frac{4}{5}[/tex]
[tex]=2\frac{4}{5}[/tex]

Your second answer is indeed "2 4/5."

Question three:

[tex]\frac{13}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{13}{7} \times2=\frac{26}{14}[/tex]
[tex]\frac{3}{2}\times7=\frac{21}{14}[/tex]
[tex]\frac{26}{14} +\frac{21}{14}[/tex]
[tex]26+21=47=\frac{47}{14}[/tex]
[tex]=\frac{47}{14}[/tex]

Convert into mixed number:
[tex]\frac{47}{14}[/tex]
[tex]\frac{47}{14}=47\div14=3\frac{5}{14}[/tex]
[tex]=3\frac{5}{14}[/tex]

Your third answer is indeed "3 5/14."

Question four:

[tex]\frac{5}{8} -\frac{1}{7}[/tex]
[tex]CD=56[/tex]
[tex]\frac{5}{8} \times7=\frac{35}{56}[/tex]
[tex]\frac{1}{7} \times8=\frac{8}{56}[/tex]
[tex]\frac{35}{56} -\frac{8}{56}[/tex]
[tex]35-8=27[/tex]
[tex]=\frac{27}{56}[/tex]

Your fourth answer is indeed "27/56."

Question five:

[tex]1+\frac{3}{7}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]CD=7[/tex]
[tex]\frac{1}{1}\times7=\frac{7}{7}[/tex]
[tex]\frac{3}{7} \times1=\frac{3}{7}[/tex]
[tex]\frac{7}{7} +\frac{3}{7}[/tex]
[tex]7+3=10[/tex]
[tex]=\frac{10}{7}[/tex]

Convert into mixed number:
[tex]\frac{10}{7}[/tex]
[tex]\frac{10}{7} =10\div7=1\frac{3}{7}[/tex]
[tex]=1\frac{3}{7}[/tex]

Your fifth answer is indeed "1 3/7."

Question six:

[tex]\frac{1}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{1}{7} \times2=\frac{2}{14}[/tex]
[tex]\frac{3}{2} \times7=\frac{21}{14}[/tex]
[tex]\frac{2}{14} +\frac{21}{14}[/tex]
[tex]2+21=23[/tex]
[tex]=\frac{23}{14}[/tex]

Convert into mixed number:
[tex]\frac{23}{14}[/tex]
[tex]\frac{23}{14}=23\div14=1\frac{9}{14}[/tex]
[tex]=1\frac{9}{14}[/tex]

Your sixth answer is indeed "1 9/14."

Question seven:

[tex]\frac{4}{5} +\frac{9}{7}[/tex]
[tex]CD=35[/tex]
[tex]\frac{4}{5} \times7=\frac{28}{35}[/tex]
[tex]\frac{9}{7} \times5=\frac{45}{35}[/tex]
[tex]\frac{28}{35} +\frac{45}{35}[/tex]
[tex]28+45=73[/tex]
[tex]=\frac{73}{35}[/tex]

Convert into mixed number:
[tex]\frac{73}{35}[/tex]
[tex]=\frac{73}{35}=73\div35=2\frac{3}{35}[/tex]
[tex]=2\frac{3}{35}[/tex]

Your seventh answer is indeed "2 3/35."

Question eight:

[tex]\frac{5}{4} +\frac{1}{2}[/tex]
[tex]CD=8[/tex]
[tex]\frac{5}{4}\times2=\frac{10}{8}[/tex]
[tex]\frac{1}{2} \times4=\frac{4}{8}[/tex]
[tex]\frac{10}{8}+\frac{4}{8}[/tex]
[tex]10+4=14[/tex]
[tex]=\frac{14}{8}[/tex]

Simplify by reducing:
[tex]\frac{14}{8}[/tex]
[tex]\frac{14}{8}\div2=\frac{7}{4}[/tex]
[tex]=\frac{7}{4}[/tex]

Convert into mixed number:
[tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} =7\div4=1\frac{3}{4}[/tex]
[tex]=1\frac{3}{4}[/tex]

Your final answer is indeed "1 3/4."

Hope this helps.

Answer:$3250

Step-by-step explanation:

Answer:

Brainliest would be appreciated. This image has horizontal symmetry.

Step-by-step explanation:

If you put a horizontal line on the image, both sides will be symmetrical.

Answer:

Identity, reflection, inversion, proper rotation, and improper rotation

Answer:

Step-by-step explanation:

a) 0.6406; b) 1.000; c) C. The probability from part​ (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than​ women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

Answer:

=2x-4

Step-by-step explanation:

Answer:

The fully simplified form is2x-4

Step-by-step explanation:

Use Distributive property

5(x-2)=5x-10

3(2-x)=6-3x

5x-10+6-3x

Combine like terms

2x-4

After Assuming a tax percentage of 3.5%, the tax amount gotten is $0.7

and the  total cost of a double room, including tax is $20.7

Given Data

Amount of Tax paid = 3.5/100 * 20

= 0.035* 20

= $0.7

The total cost of a double room, including tax

= Cost of double + Amount of Tax

= 20+0.7

= $20.7

Learn more about Tax Calculation here:

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Answer:

D) Graph Z

Step-by-step explanation:

Convert from point-slope to slope-intercept form

[tex]y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10[/tex]

This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.

The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y - 6 = 4(x - 4)

Convert the equation into slope-intercept form. Then we have

y - 6 = 4(x - 4)

y - 6 = 4x - 16

y = 4x - 16 + 6

y = 4x - 10

The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.

More about the linear equation link is given below.

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Answer:

180

Step-by-step explanation:

m(< 1) + m (< 2) + m (< 3) = 180

because sum of angles on same straight line = 180

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

    The number of outcome is  3 (rock paper and scissors)

     The number of game you and the first friend played is  a = 400

      The number of times friend A chose scissors is b = 100

      The number of game you and the second friend played is c= 120

       The number of times friend B chose scissors  is  d =  20

        The number of game you and the third friend played is e =  300

        The number of times friend B chose scissors  is f = 65

Generally the probability of success of each outcome is  

        [tex]p = \frac{1}{3} = 0.33[/tex]

Generally the probability of failure of each outcome is  

      [tex]q = 1-p[/tex]

=>   [tex]q = 1-\frac{1}{3}[/tex]

=>    [tex]q = \frac{2}{3} = 0.67[/tex]

Generally the proportion of  scissors chosen by friend A is  mathematically represented as

        [tex]p_1 =  \frac{b}{a}[/tex]

=>       [tex]p_1 =  \frac{100}{400}[/tex]

=>       [tex]p_1 = 0.25[/tex]

Generally the proportion of  scissors chosen by friend B is  mathematically represented as

        [tex]p_2 =  \frac{d}{c}[/tex]

=>       [tex]p_2 =  \frac{20}{120}[/tex]

=>       [tex]p_2 = 0.167[/tex]

Generally the proportion of  scissors chosen by friend B is  mathematically represented as

        [tex]p_3 =  \frac{f}{e}[/tex]

=>       [tex]p_3 =  \frac{65}{300}[/tex]

=>       [tex]p_3 = 0.2167[/tex]

Generally the standardized value  for  friend A is mathematically represented as

          [tex]z_1 =  \frac{p_1 - p}{\sqrt{\frac{p* q}{a} } }[/tex]

     => [tex]z_1 =  \frac{0.25- 0.33}{\sqrt{\frac{0.33* 0.67}{400} } }[/tex]

      =>  [tex]z_1 = -3.4[/tex]      

Generally the standardized value  for  friend B is mathematically represented as

          [tex]z_2 =  \frac{p_2 - p}{\sqrt{\frac{p* q}{c} } }[/tex]

     => [tex]z_2 =  \frac{0.167- 0.33}{\sqrt{\frac{0.33* 0.67}{120} } }[/tex]

      => [tex]z_2 =  -3.8 [/tex]      

Generally the standardized value  for  friend C is mathematically represented as

          [tex]z_3 =  \frac{p_3 - p}{\sqrt{\frac{p* q}{e} } }[/tex]

     => [tex]z_3 =  \frac{0.2167- 0.33}{\sqrt{\frac{0.33* 0.67}{300} } }[/tex]

      => [tex]z_3 =  -4.17 [/tex]            

Answer: C

reason: There are special rules to follow when an expression is raised to the power of 0 or 1. Remember these rules when using numerical expressions involving the exponents 0 and 1:

Any number raised to the power 0 is equal to 1. For example, 120 is equal to 1 and 300 is equal to 1. However, this rule does not apply when 0 is the base: 0 raised to any power other than 0 is equal to 0, and 00 is not defined.

Any number raised to the power 1 is equal to the number itself. For example, 121 is equal to 12, 301 is equal to 30, and 01 is equal to 0

A numerical expression contains numbers and operations but not the equality symbol (=). Here are some examples of numerical expressions:

15 + 4 − 2

56 ÷ 7 + 5 × 5 × 5

32 × 5 + 7

Numerical expressions can also be written in words, such as "nine times six minus seven" and "five divided by ten plus two."

Look at the expression 56 ÷ 7 + 5 × 5 × 5. Instead of writing 5 three times in the expression, we can replace it with a whole-number exponent. For that, we write 5 × 5 × 5 as 53:

56 ÷ 7 + 5 × 5 × 5

56 ÷ 7 + 53.

Let's write 2 × 3 × 3 × 3 × 3 × 3 × 3 with a whole-number exponent. Here, 3 is multiplied by itself and occurs 6 times in the expression. Instead of writing 3 six times, we can write 3 × 3 × 3 × 3 × 3 × 3 as 36. So, 2 × 3 × 3 × 3 × 3 × 3 × 3 is the same as 2 × 36.

Answer:

[tex]m = \frac{4}{3} = 1.3334[/tex]

Step-by-step explanation:

To find the slope of a line, all you have to do is determine 2 points that pass through this line;

for example, in this case,

(-4,-2) (4,4)

Use the equation;

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 4)}{4 - ( - 2)} = \frac{4 + 4}{4 + 2} [/tex]

[tex]m = \frac{8}{6} = \frac{4}{3} [/tex]

This line passes through the point (1,0) and that is your y-intercept.

[tex]y = \frac{4}{3} x + 1[/tex]

The requried slope of the given line is m = 3/4.

The slope of the line is defined as the ratio of the rise and run of the straight line on the curve is given as;

m = (y₂ - y₁) / (x₂ - x₁)

Here,
From the graph, we have (-4, -2) and (4, 4).

The slope of the line is given as:

m = (y₂ - y₁) / (x₂ - x₁)

m = (4+2)/(4+4)
m = 6/8
m = 3/4

Thus, the requried slope of the given line is m = 3/4.

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Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer:

Power Set = {{1,9,11,14},{1,11,14},{1,9,11},{1,9,14},{9,11,14},{1,11},{1,14},{1,9},{11,14},{9,11},{9,14},{1},{11},{14},{9},{}}

Step-by-step explanation:

The power set of a set S is the set of all subsets of S. The first subset will be set S itself. Next, find all subsets that contain one less element (in this case 3 elements). Continue with this process until finding all subsets including the empty set.

Answer:

7^9

Step-by-step explanation:

when dividing you take away powers.

Answer:

7 to the power of 9

Step-by-step explanation:

7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9

Answer:

Its answer B!

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

6 - (-12) / (-6)

6 + 12 / (-6) (because subtracting a negative is the same as adding)

6 + (-2)

4

I hope this helps! Have a lovely day! :)

(Give brainliest to the other person bc they got it right first)

Answer:

Evaluate 6-(-12) / (-6)

6+12 / -6(The minus change to plus because when 2 minuses meet they make +(plus))

6-2(This is 6-2 because 12 /-6 is -2 because the negative takes over it like dividing 12  by 6 but with not negative)

4

The answer is 4

Answer:

x < 6

Step-by-step explanation:

[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

[tex]x+2-2 < 8-2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x < 6[/tex]

~Learn with Lenvy~

Answer:

z < 6

Step-by-step explanation:

this is the correct answer

Step-by-step explanation:

4(2x-3):reason - Distributive property

8x-12=:reason - addition property of equality

8x=40: reason - division property of equality

x=5: reason - given

hope this answer helps u.

please mark it as the brainliest

[tex] \dfrac{ \dfrac{ - 4}{9} }{ \dfrac{ - 1}{3} } = \dfrac{ 4}{9} \times \dfrac{3}{1 } [/tex]

[tex] = \dfrac{4}{3} [/tex]

Answer:

1  1/3

Step-by-step explanation:

Flip -1/3 to be -3/1

Multiply -4/9 to -3/1

-4/9 x -3/1 = 12/9

(The two negatives equal a positive)

Simplify.

4/3

Simplify some more.

1  3/9

Simplify even more.

1  1/3

Hope I helped :)

Please consider Brainliest :)

Answer: 10

Step-by-step explanation:

9 1/6 x 1 1/11

55/6 x 12/11

cross reduce

5/1 x 2/1

10

Answer:

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

Area in this figure will be 80cm².

The area of the rectangle can be calculated by the product of length and breadth of the rectangle.

A=l*b

where l is length and b is the breadth.

So according to asked question in the drawn figure,

connect the point B and G.

now this figure will give two rectangle i.e. ABGH and CDEF

Rectangle ABGH has length l=5cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²

Now CF=CB+BG+GF=5+5+5=15

Rectangle CDEF has length l=CF=15cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²

Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF

=20cm²+60cm²

=80cm²

Therefore area in this figure will be 80cm².

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Answer:

I'm not sure of the exact term in the blank, but a^3 and a^7 are both exponents with the same base meaning you can add the exponents to create one.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48

Given parameters:

Diameter of the malt balls  = 0.8in

Dimensions of the prism = 4in x 3in x 7.5in

Unknown:

Number of malt balls that will fit in the carton = ?

Solution:

To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.

Volume of the malt balls  = [tex]\frac{4}{3} \pi r^{3}[/tex]

This is because we assume that the balls have a spherical shape.

    Where r is radius and π is a constant

Radius of the malt balls  = [tex]\frac{0.8}{2}[/tex]   = 0.4in

So, volume  = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex]   = 0.27in³

Volume of the rectangular prism = l x w x h

  where l is the length

            w is the width

            h is the height

So the volume is 4 x 3 x 7.5 = 90in³

The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex]   = 333 malt balls

Answer:

- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10

i hope this work for you

and sory if im wrang

Step-by-step explanation:

if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.

Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice

Divide by 2 to find the unit rate and multiply by 7 to find the cost of 7 units.

20.5/2 = 10.25.

10.25 times 7 = 71.75

It will cost $71.75 to buy 7 tickets.

Answer:

y=-1/2x-1

Step-by-step explanation:

4-0     =      4     =         1

-6-2    =     -8     =       -2

4=-6(-1/2)

4=    3

-4    -4

b= -1

y=mx+b

y=-1/2x-1

Answer:

one quart is about 0.95 liters, so its about 2.84 liters after dividing because you want to see how many times that 3 quarts can go into liters

Step-by-step explanation:

mr clean

Answer:

The cooler holds 2.85 liters.

Step-by-step explanation:

Convertion: 1 quart = 0.95 liters

3 × 0.95

= 2.85 Liters

Hi!

Your answer is "Multiplicative Inverse Property".

We can see that it's multiplying both sides by [tex]\cfrac{5}{4}[/tex] to get [tex]x[/tex] by itself.

This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.

When a number is multiplied by its multiplicative inverse, it equals 1.

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