Similar figures review 2

Answer:

A. The constant ratio of y/x is 12/5

Step-by-step explanation:

The ratio of y to x is constant which is 12/5. Hence option A is the correct option.

What is a constant?

The term "constant" has several meanings in mathematics. When used as a noun, it can have any of the following two meanings:  a constant, clearly defined number or another immutable mathematical object.

Given table is

x                 y

5/6             2

25/6          10

125/6        50

625/6      250

When x = 5/6 and y = 2:

x/y = (5/6)/2 = 5/12

∴y/x = 5/12

When x = 25/6 and y = 10:

x/y = (25/6)/10 = 25/60 = 5/12

∴y/x = 5/12

When x = 125/6 and y = 50:

x/y = (125/6)/50 = 125/300 = 5/12

∴y/x = 5/12

When x = 625/6 and y = 250:

x/y = (625/6)/250 = 625/1800 = 5/12

∴y/x = 5/12

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Answer:

47.5 percent is correct

Step-by-step explanation:

1/2 × (23+15 ×11)

1/2 × (38 ×11)

1/2 × (23+15 ×11)

1/2×418

209ft²

Answer:

Option C)

Step-by-step explanation:

[tex]A=\frac{(23-15)(11)}{2} +(15)(11)[/tex]

[tex]A=44+165[/tex]

[tex]A=209ft^{2}[/tex]

Hope this helps

the answer to your question is c

Answer:By the formula for the area of a rectangle. Because length = 2 times width. Simplify. So w = -4 or w = +4. Obviously, having a negative width is nonsensical

Step-by-step explanation:

The first number 49 or larger that is divisible by 3 is 51 (17 * 3 = 51) so begin at 51 and count by 3's until you get to 95:51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93The first number 49 or larger that is divisible by 6 is 54 (6 * 9 - 54) so begin at 54 and count by 6's until you get to 95:54, 60, 66, 72, 78, 84, 90The first number 49 or larger that is divisible by 9 is 54 (9 * 6 - 54) so begin at 54 and count by 9's until you get to 95:54, 63, 72, 81, 90Now look for the numbers that are in all three lists

Answer: The volume of box is 6×8×10 cm^3

All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Step-by-step explanation:All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Answer:

50 cubes

Step-by-step explanation:

The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

You can find this by dividing the total volume of the box (10 x 8 x 5 = 400 cm^3) by the volume of a single cube (2 x 2 x 2 = 8 cm^3). So 400cm^3 / 8cm^3 = 50 cubes.

Hence, The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

Answer:

[tex]\frac{9}{1}[/tex]

Step-by-step explanation:

54÷6=9

--> 9:1

Answer:

Proportional

Step-by-step explanation:

The relationship is proportional because starting at (0,0) there's a constant rate between the number of plants and the number of roses. We can represent this proportional relationship as y=5x where k=5, the constant of proportionality.

Answer:

its wrong

Step-by-step explanation:

cause first of all i have no i dea second of all it looks to hard for me

Answer: 2 and

Step-by-step explanation: equation 2:

3(3x+4)-5=9x-2

9x+12-5=9x-2

9x+7=9x+-2

Subtract both sides by 9x

7=-2

This Is not true therefore there is no solution

equation 3:

3(3x+4)-5=-3x+4

9x+12-5=-3x+4

9x+7=-3x+4

12x=-3

divide both parts by -3

x=-4

Answer:

Step 1: 4x = -16

Step 2: x = -4

Step-by-step explanation:

Subtracting 12 on both sides, and dividing by 4 will isolate "x" to solve the two-step equations, as we are performing opposite operations to the variable "x".

Answer:

Step-by-step explanation:

Answer:

To use mental math and the inverse property of addition to find the sum [5.5+(-2.3)] +(-5.5 + 2.3), you can use the following steps:

Rewrite the expression as [5.5+(-2.3)] +(-5.5) + 2.3.

Use the inverse property of addition to rewrite (-5.5) as 5.5, so the expression becomes [5.5+(-2.3)] +(5.5) + 2.3.

Use the inverse property of addition again to rewrite (-2.3) as 2.3, so the expression becomes [5.5+2.3] +(5.5) + 2.3.

Use the associative property of addition to rearrange the terms in the expression, so it becomes 5.5 + 2.3 + 5.5 + 2.3.

Use mental math to add the terms, which gives you a result of 15.8.

Therefore, the sum of [5.5+(-2.3)] +(-5.5 + 2.3) is 15.8.

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: 40-30= 10    10/40= .25

Answer: 90%

Step-by-step explanation:

Answer:

(n-2)2 is in the formula (a-b)2 = a2- 2ab + b2

correct it by writing (n-2)2 = (n2 - 2(n)(2) + 2 raise 2)

Answer:

-2 * -2 = 4, but Maryam put -4 instead.

Answer: A) Tasha, because she has the lowest ratio since 0.9 > 0.8

Step-by-step explanation:

Answer:

4(x-1)+9=17

Step-by-step explanation:

3(-2x+1) + 5 = 3x-4-5x

expand

-6x + 3 + 5 = 3x-4-5x

-6x + 8 = -2x - 4

add 2x to both sides to put all x values + coefficients on one side

-4x + 8 = -4

subtract 8 from both sides to isolate x and its coefficient

-4x = -12

divide both sides by -4 to isolate x

x = 3

plug x=3 into each option to see if it works

1. 5(3+3)-4 = 30-4 = 26 != 10

2. 2(3+1) = 8 != 4

3. 4(3-1)+9 = 17 = 17

4. 4(3)+7 = 19 != 3+8 = 11

Answer:

0.1 kilograms of melon in each bowl.

Step-by-step explanation:

[tex]\frac{0.4}{4}[/tex] = 0.1

Answer:

0.1 kilogram of melon are on each bowl

Step-by-step explanation:

[tex]\frac{4}{0.4} = 0.1[/tex]

Answer: 1/4, 16/3, 3

Answer:

1.  (3,3)

2. (6,3)

Step-by-step explanation:

1.  [tex]\frac{3}{4}[/tex] × (4,4)

step 1. divide by the denominator

4 ÷ 4 = 1

step 2. multiply by the numerator

1 × 3 = 3

2.  [tex]\frac{3}{4}[/tex] × (8,4)

step 1. divide by the denominator

8 ÷ 4 = 2

step 2. multiply by the numerator

2 × 3 = 6

Hope this helps! ( * ＾▽＾)／

Answer:

4.20

Step-by-step explanation:

"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20

(I also feel this isnt the whole question, but this is the answer for this part anyway.)

Answer: B, 13/15

Step-by-step explanation: If you multiply both to 15, you will get 1 10/15 and 12/15 if you then subtract the two of them you will be left with

13/15.

Orleans might have got the answer from subtracting wrong or adding them together.

Hope this helps! :)

Orleans must have chosen C as the correct answer, which is 13/15 hours. This means that Kado spent 13/15 hours longer painting the fence than walking his dog.

To find out how much longer Kado spent painting than walking his dog, we need to calculate the difference between the time he spent painting and the time he spent walking his dog.

Kado spent 1 2/3 hours painting the fence.

He spent 4/5 of an hour walking his dog.

To make the calculation easier, let's convert 1 2/3 hours into an improper fraction:

1 2/3 = (3*1 + 2)/3 = 5/3 hours

Now, the time difference is:

Time spent painting - Time spent walking

= (5/3) - (4/5)

To subtract fractions, we need to find a common denominator, which in this case is 15 (the least common multiple of 3 and 5):

= (5/3)(5/5) - (4/5)(3/3)

= 25/15 - 12/15

Now, we can subtract the fractions:

= (25 - 12)/15

= 13/15 hours

Orleans must have chosen C as the correct answer, which is 13/15 hours. This means that Kado spent 13/15 hours longer painting the fence than walking his dog.

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Answer:

look below!

Step-by-step explanation:

since the absolute value is just the number in positive form, the absolute value for the numbers are

-7: 7               1:1           So, the distance between the numbers is 12; 7+5=12.

-6: 6              2:2

-5: 5              3:3

-4: 4              4:4

-3: 3              5:5

-2: 2

-1: 1