What is -0.56 as a fraction in simplest form?
-14/25
-5/6
-56/100
-7/10

The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

Total number of coins:

[tex]65+27+30+18=140[/tex]

The probability of selecting Pennies is:

[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]

[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]

The probability of selecting nickels is:

[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]

The probability of selecting dimes is:

[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]

[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]

The probability of selecting quarters is:

[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]

[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]

Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

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Answer:

y - 9 = -1/2 (x - 0)

Step-by-step explanation:

perpendicular slope = -1/2

y - 9 = -1/2 (x - 0)

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]

Answer:

-3

Step-by-step explanation:

in every term we subtract 2 so

7-2=5

so in every answer subtract 2

5-2=3

3-2=1

1-2=-1

-1-2=-3

Answer:

- 3

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2

Thus subtracting 2 from the last term shown gives the next term

- 1 - 2 = - 3

Step-by-step explanation:

X = Acceleration × time

=300× (10/60)

=50km/h

Answer: x=585

Step-by-step explanation:

thats the answer

Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

Answer:

y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )

- 6y = - 8x - 12 ( divide terms by - 6

y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is

y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

Answer:

1.5 hours / 90 minutes

Step-by-step explanation:

time = distance ÷ speed

Answer:

[tex] \boxed{d = \frac{5}{3}}[/tex]

Step-by-step explanation:

[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]

Answer:

7⅔ pounds to be shared 1⅓ per container.

For a clearer and swift understanding

Change them from Mixed NUMBERS to simple fractions

7⅔ = 23/3

1⅓ = 4/3

Now

We need to Fill 23/3 pounds of walnuts by 4/3 each into a container

Simply divide 23/3 by 4/3 to know how many walnuts that would enter

23/3 ÷ 4/3

23/3 x 3/4 = 23/4.

SO 23/4 CONTAINERS WOULD BE FILLED.

23/4 containers when converted to mixed numbers is

5¾.

This is our answer.

But Looking at the Question

5¾ has been broken to two fractions.

The Number that'll fill the blank space is 5.

Why? 5 + 9/12 = 23/4 which is the answer we got initially.

ANSWER = 5

Hope it helps tho.

I'm open to questions if there's any!

Have a great day!

Answer:

The answer to this question is0

Answer:

school:

cleaned class rooms and background

cooking equipment are laboratory tested of being germs free and also bacteria free

community: clean environment

Step-by-step explanation:

Answer:

(3.5, 4.8)

Step-by-step explanation:

2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5

3 - 1.2 = 1.8, 3 + 1.8 = 4.8

Answer:

[tex]thank \: you[/tex]

Answer:

answer is in attachment

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

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

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

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

The values of the angles are;

x = 12°

m∠PQS = 71°

m∠PQT = 142°

m∠TQR = 41°

The reason the above values are correct is as follows:

Question: The part of the question that appears missing as obtained online is as follows;

The required angles: x, m∠PQS, m∠PQT, and m∠TQR

Please see attached drawing of the angles from the question

The given parameters are;

[tex]\overset{\longrightarrow}{QS}[/tex] bisects ∠PQT

m∠SQT = (8·x - 25)°

m∠PQT = (9·x + 34)°

m∠SQR = 112°

We have;

m∠PQT = m∠SQT + m∠PQS (Angle addition postulate)

m∠SQT ≅ m∠PQS (Angles formed by angle bisector are congruent)

m∠SQT = m∠PQS Definition of congruency

m∠PQT = 2 × m∠SQT

Therefore;

(9·x + 34)° = 2 × (8·x - 25)° = (16·x - 50)°

Collecting like terms gives;

(34 + 50)° = 16·x - 9·x = 7·x

7·x = 84°

x = 84°/7 = 12°

x = 12°

m∠SQT = (8·x - 25)°

Therefore;

m∠SQT = (8 × 12 - 25)° = 71°

m∠SQT = 71°

m∠PQT = 2 × m∠SQT

∴ m∠PQT = 2 × 71° = 142°

m∠PQT = 142°

m∠PQS = m∠SQT (Angles formed by the same bisector [tex]\overset{\longrightarrow}{QS}[/tex])

∴ m∠PQS = m∠SQT = 71°

m∠PQS = 71°

m∠SQR = m∠SQT + m∠TQR (Angle addition postulate)

m∠SQT = 71°

∴  m∠SQR = 112° = 71° + m∠TQR

m∠TQR = 112° - 71° = 41°

m∠TQR = 41°

Learn more about finding angles with algebraic expressions here:

https://brainly.com/question/21607755

Answer:

c = 1

Step-by-step explanation:

Given

9 = 2(c + 3) + 1 ← distribute parenthesis and simplify right side

9 = 2c + 6 + 1

9 = 2c + 7 ( subtract 7 from both sides )

2 = 2c ( divide both sides by 2 )

1 = c

Answer:

[tex]c = 1[/tex]

Step-by-step explanation:

[tex]9 = 2(c + 3) + 1 \\ 9 = 2c + 6 + 1 \\ 9 = 2c + 7 \\ 9 - 7 = 2c \\ 2 = 2c \\ c = \frac{2}{2} \\ c = 1[/tex]

The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Given that,

Avery has three times as Jackie.

Also, Jackie has $6 lower than Samantha.

Together they have $56.

Based on the above information

Let us assume the Jackie be x

So, Avery should be 3x

Samantha should be x + 6

So, the equation should be

x + 3x + x + 6 = $56

5x = $56 - $6

5x = $50

x = $10

So, Jackie has $10

Avery has $30

And, Samantha has $16

Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Learn more about the money here: brainly.com/question/10943652

Answer:

2.008, 2.08, 2.8

Step-by-step explanation:

You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8

Step-by-step explanation:

Steps are in the picture above.

Note:if you need to ask any question please let me know.

Answer:

-1/10

Step-by-step explanation:

after (.) we put zero in the denominator according to how many numbers are after .

-0.1= -1/10

hope this will help you

plz mark me as braniliest

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]

Step-by-step explanation:

[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]

Answer:

80%

Step-by-step explanation:

in other words 80 percent of Doctors use computers  and 20% do not use computers.

Answer:

23

Step-by-step explanation:

9x-4=6x+5

3x-4=5

3x=9

x=3

plug in x

6(3)+5 = 23

[tex]\\ \rm\longmapsto x^2-y^2[/tex]

[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]

[tex]\\ \rm\longmapsto 9-4[/tex]

[tex]\\ \rm\longmapsto 5[/tex]

When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".

I think this help you Now thank you

The answer is Co-prime

Hope It Help

The simplified expression is -1.42x + 2.8.

Sure, let's simplify the expression step by step:

1. Distribute the coefficients to the terms inside the parentheses:

0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x

2. Simplify each term:

0.98x + 1.2 + 1.6 - 2.4x

3. Combine like terms:

(0.98x - 2.4x) + (1.2 + 1.6)

-1.42x + 2.8

So, the simplified expression is -1.42x + 2.8.

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