1. Which decimals are equivalent to (3 × 10) + (2 × 1/100)? *
A. 3.02
B. 30.20
C. 30.02
D. 30.200

2. Are these decimals equivalent? Why or Why not? 3.120 and 3.12 *

Answer:

A and E

Step-by-step explanation:

(5n^-3)^4= A    (25n^-6)^2=E

Answer:

A and E  ФωФ

Step-by-step explanation:

Answer:

I believe the answer is J. the corresponding angles are proportional, and the corresponding sides are congruent

Step-by-step explanation:

hope this helps :)

If the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct,

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Thus, if the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct.

Learn more about the similarity of triangles here:

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Answer:

No there not the same

Step-by-step explanation:

There are not equivalents to each other the answer would be 2:1

Answer:

5.5%

Step-by-step explanation:

The formula for Simple Interest = PRT

Where

Simple Interest = $115.50

P = Principal = $700

R = Interest rate = ??

T = Time in years = 3 years

$115.50 = $700 × R × 3

R = $115.50/$700 × 3

R = $115.50/$2100

R = 0.055

R = Interest rate = 0.055

We Multiply by 100

= 0.055 × 100

= 5.5%

Answer:

a) 3/5, 60%

b) 1/15, 0.07

c) 9:1, The ratio means that Jack had spent 9 times more money on shoes than on music, 9/1

Step-by-step explanation:

a) The ratio would be 45:75, simplifying that would be 3/5. Now,  3 divided by 5 is .6, which would be 60%.

b) This ratio would be 5:75, simplifying that would be 1/15. 1 divided by 15 is 0.0666666. Rounding it to the nearest hundreth would get you 0.07

c) The ratio of shoes money and music money would be 9:1. You can find this by making the denominators of each of the fractions the same, so 3/5 multiplied by 3 gets you 9/15. Now, you can easily compare them.

Answer:

13/15 = 52/60

: Hope this helps.

Answer:

4 + 2x = 28; = 12

Step-by-step explanation:

Start with the initial fee which is $4. Then times 2 with your miles for an example: (money with miles)2 x 6(miles) and you should have $12 dollars in total  2 x 4 which equal $8 and 2x2 which equal 4...

2 x 6 = 12

2 x 4 = 8

2 x 2= 4

add all those up and you should get 28..

To check your work do

4 + 2(12) = 28

4 + 24 + 28

Your Welcome!

Answer:

Step-by-step explanation:

there are 1728 cubic inches in one cubic foot.

A cubic foot is 12"

12* 12" * 12" = 1728 cu/inches

therefore

1344/1728 =. 78 cu ft

Answer:

4.47 liters

Step-by-step explanation:

To find how many liters were left, subtract the amount they drank from the original amount:

34.07 - 29.6

= 4.47

So, there were 4.47 liters of water left in the cooler.

After players drank 29.6 liters of water from 34.07 liters there is 4.47 liters of water left in the cooler.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A soccer coach filled a water cooler with 34.07 liters of water before a game.

The players drank 29.6 liters during their game.

∴ Liters of water that is left in the cooler is the difference between water-filled before the game to the water drank by players during their game which is,

= (34.07 - 29.6).

= 4.47 liters are left in the cooler.

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Answer:

(18 , - 10)

Step-by-step explanation:

5x + 4y = 50 .... (1)

x + 2y = - 2 ... (2)

Solve (2) for "x"

x = - 2y - 2 .... (3)

(3) ----> (1)

5(- 2y - 2) + 4y = 50 ⇔ - 6y - 10 = 50 ⇒ y = - 10 .... (4)

(4) ----> (2)

x + 2(- 10) = - 2 ⇒ x = 18

(18, - 10)

Answer:

Step-by-step explanation:

x/45=55/100

x=99/4 or 24.75 or 24 3/4  All three are the same.

Answer:

24 3/4

Step-by-step explanation:

Simplify 55/100

=11/20

11/20=x/45

Use Butterfly Method

45*11=20x

Solve

x=24.75

Answer:

32 bags we sold last Saturday, and 64 today.

Step-by-step explanation:

So first, we make a ratio. 2:1, as she sold twice as much. yo could also write it in an equation; 2x+x=96. in both, we see that 3x is equal to 96, and so, x would be equal to 32. to find how many she sold today, multiply that number by 2, to get 64. Hope this helped :)

The volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

To find the volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cone, and h is the height of the cone.

In this case, the radius is given as 6 units, and the height is given as 8 units.

To calculate the volume, substitute these values into the formula:

Volume = (1/3) * 3.14159 * (6 units)^2 * 8 units

Volume = (1/3) * 3.14159 * 36 square units * 8 units

Volume ≈ 301.5928 cubic units

Therefore, the volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

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Answer:

x = 25

Step-by-step explanation:

The other angle in the triangle would equal 130 because the sum of angles in a triangle add up to 180.

2x + 130 = 180 because it is a linear pair

2x = 50

x = 25

Answer:

x = 25

Step-by-step explanation:

Answer:

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

Step-by-step explanation:

Given

Word: PROBABILITY

[tex]n(Word) = 11[/tex]

Required

Determine P(Consonant then Vowel)

Frist we need to list out the consonants;

Consonants = PRBBLTY

[tex]n(Consonants) = 7[/tex]

Then Vowels

Vowels = OAII

[tex]n(Vowels) = 4[/tex]

[tex]P(Consonant\ then\ Vowel) = P(Consonants)\ and\ P(Vowels)[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{n(Consonants)}{n(Words)} \ and\ \frac{n(Vowels)}{n(Words) - 1}[/tex]

We used n(words) - 1 for the vowels because it's probability without replacement. So, when the consonant is picked, the length of letters reduced by 1

So, we have:

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ and\ \frac{4}{11 - 1}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{4}{10}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{2}{5}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

Answer:

Not

Not

In domain

Step-by-step explanation:

u cannot square root a negative number as you'll get a complex number, making h(x) undefined

Answer:

The 3rd and 4th ones :))

Answer:

Step-by-step explanation:

im so sorry i dont no this answer

Answer:

46

Step-by-step explanation:

15% of 40 is 6 so you add 6 to 40

Answer:46

Step-by-step explanation:

15% of 40=?

multiply 15 by 40 and divide by 100

15 * 40 / 100 = 6

add 6 to 40

40+6=46

Therefore, the number of cats that they expect is 46.

Answer:

Yessir he's coming soon

Step-by-step explanation:

Answer:

Options B and D

Step-by-step explanation:

B.

[tex]. \\ \angle \: 1 \cong \angle 5 \\ (exterior \: alternate \: \angle s) \\ [/tex]

D.

[tex]\angle \: 1 \cong \angle 7 \\ (vertical \: \angle s) \\ [/tex]

Answer:

x<32 (i thik is what you want)

Step-by-step explanation:

if x/8+1<3

x has to be less the 4*8, which is 32.

so x<32

Answer: 2:5

Step-by-step explanation: There are 2 rabbits and 5 dogs.

Answer:

Del has 19 comic book

Step-by-step explanation:

to figure this out we need to take 57 and divide by the 3 given.

57 ÷ 3 = 19

so because we divided 57 by 3 we know the answer is 19

Del has 19 comic books

Answer:

pi 3.1428571428571142