Clark wants to gift some chocolates and cakes to his friends. If he has to give 18 chocolates and 12 cakes equally to the friends without any left over, find the highest number of friends to whom he can distribute the cakes and chocolates.

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:

X = Acceleration × time

=300× (10/60)

=50km/h

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

Step-by-step explanation:

perpendicular slope = -1/2

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

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.

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By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

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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]

Step-by-step explanation:

Steps are in the picture above.

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

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:

[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:

1.5 hours / 90 minutes

Step-by-step explanation:

time = distance ÷ speed

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

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:

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:

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:

answer is in attachment

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°

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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

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:

-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:

[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:

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]

Answer:

The answer to this question is0

[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]

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

Answer:

[tex]7 \times 6 = 5 \: sixes + 2 \: sixes \\ 7 \times 6 = 30 + 12 \\ = 42 \\ \\ thank \: you[/tex]

Hi ;-)

[tex]7\cdot6=5 \ \text{sixes}+\boxed2 \ \text{sixes}\\\\=\boxed{30}+12\\\\=\boxed{42}[/tex]