What are the first two common multiples of the number 3 and 5?

Answer: Option 4

Step-by-step explanation:

Answer:

y = 2x - 1

Step-by-step explanation:

y = 2x - 2;    (3, 5)

                    (x₁, y₁)

y - y₁ = m(x - x₁)

y - 5 = 2(x - 3)

y - 5 = 2x - 6

  +5          +5

-----------------------

y = 2x - 1

I hope this helps!

Davi needs to sell  131 cups to make at least R$500 profit , the inequality for this story is 3.82x ≥ 500 ,

In the question ,

it is given that

Davi makes R$3.82 per cup of coffee sold .

he needs to make at least R$500 profit

let the number of cups of coffee sold = x  ,

the term "at least"  means " ≥ " ,

So , According to the question , the inequality becomes

3.82x ≥ 500

x ≥ 130.89

x ≥ 131      .....as number of cups cannot be in decimal .

so the minimum number of cups to be sold is 131 cups.

When the inequality x ≥ 131   , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .

as when the numbers increases , it move towards right side

So, When the inequality is graphed, the line will have an arrow pointing towards the right  .

Therefore , Davi needs to sell  131 cups to make at least R$500 profit ,

the inequality for this story is 3.82x ≥ 500 ,

the limit of graph will be closed circle and arrow will be pointing towards right  .

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Answer:

[tex]2x - 25 = 87 \\ 2x = 87 + 25 \\ 2x = 112 \\ \frac{2x}{2} = \frac{112}{2} \\ x = 56[/tex]

I USED THE REASON ALTERNATE ANGLES ARE EQUAL

The radius of the given sphere will be 9/π.

So, the formula for the volume of a sphere: V = 4/3πr³

Volume is 972, then the radius will be:

Therefore, the radius of the given sphere will be 9/π.

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Answer:

Step-by-step explanation:

Outside of Figure A

The value of angle A when A and B are vertical opposite angles is 96°.

It should be noted that vertical angles are equal. Based on the information illustrated, it should be noted that angle A = 4x - 4 and angle B = 5x - 29.

Then, we will equate the equations and this will be:

Angle A = Angle B

4x - 4 = 5x - 29

Collect like terms

5x - 4x = -4 + 39

x = 25

Since angle A = 4x - 4 = 4(25) - 4 = 100 - 4 = 96°

Angle A is 96°.

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The values of indicated function are-

For the given question;

For finding the values of the function, see the values for y axis with respect to the given values of x from the graph.

a: f(-4), input value is (-4), output on y axis is 6.

f(-4) = 6.

b: f(0), input value is (0), output on y axis is -6.

f(0) = -6.

c: f(1), input value is (1), output on y axis is -4.

f(1) = -4.

Thus, the range for the state functions are obtained.

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The shortest possible time is 15 minutes.

It takes 10 minutes to fry one steak - 5 minutes from each side. Two steaks can fit on a pan. What is the shortest possible time to fry 3 steaks?

If I go with the conventional way then I can fry two steaks together taking ten minutes and then I can fry the third one in another ten minutes. So total time 20 minutes.

Assuming that I have only one pan and three steaks to fry. We can even use unitary method .

I will put two steaks in the pan then after 5 minutes I will take out one steak and put the other steak while I will flip the steak which is still in the pan. So in first ten minutes I have only one steak ready. Then I will flip the newly added steak in the pan and put the half side fully cooked steak also in the pan. So in this way in the coming five minutes my other two steaks will also get cooked. Total time taken=5+5+5=15 minutes.

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Answer:

56

Step-by-step explanation:

Because w and 124 make a straight line. So you would need to subtract 180 from 124

Answer:

A )56

Step-by-step explanation:

Based on the amount of time given, the number of degrees that the minute hand on the clock would have moved is  210 degrees

Based on the fact that the clock is a circle in shape, it means that when the minute hand moves around the clock for an hour, it would have moved 360 degrees.

If the time moved by 7/12 hours, the number of degrees it moved was then:

= Number of degrees x Number of hours

= 360 x 7/12

= 2,520 / 12

= 210 degrees

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Answer:

One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds

one half times the quantity 20 minus y equals two thirds

one half times y minus 20 equals two thirds

one half times 20 minus y equals two thirds

0.5(20 - y) = 2/3

One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]

One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3

One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3

One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3

One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3

Answer:

-5y + 20

Step-by-step explanation:

Distributive property: multiply the outside terms with the inside terms

-5(y - 4)

-5 x y = -5y

-5 x 4 = -20

-5y + 20

So -5(y - 4) simplified using distributive property is -5y + 20

Your welcome hope this helps :)

The probability that s student will passed exactly one of the subject is 28/55.

It should be noted that probability simply means the likelihood that a particular event will happen.

Based on the Venn diagram that's given, the number if students that passed both subjects is 19.

Therefore, the probability that s student will passed exactly one of the subject will be:

= Fraction of students that passed French + Those that passes German

= 11/55 + 17/55

= 28/55

The probability is 28/55.

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The correct answer is option D which is the expression is, 11 over 24 times r plus negative 8.

In mathematics, creating equations from word descriptions is referred to as a "word problem."

For example, in the question, equations are expressed in words and then rewritten in figures, which is the preferred way to write equations.

The equation is rewritten in words and solved as below.

How to write and solve the equation

Given expression is,

[tex](\frac{-1}{8}*r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]

solving the equation:

= [tex](\frac{-1}{8} *r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]

= [tex](\frac{-r}{8} -5-\frac{r}{6} )-(\frac{-6r}{8} +3)[/tex]

opening the parenthesis leads to change of signs as follows

= [tex]\frac{-r}{8} -5-\frac{r}{6} +\frac{6r}{8} -3[/tex]

= [tex]\frac{-r}{8} -\frac{r}{6} +\frac{6r}{8} -5-3[/tex]

= [tex]\frac{-3r-4r}{24}+\frac{6r}{8} -8[/tex]

= [tex]\frac{-7r}{24} +\frac{6r}{8} -8\\[/tex]

= [tex]\frac{-7r+18r}{24} -8[/tex]

= [tex]\frac{11r}{24} -8[/tex]

= [tex]\frac{11}{24} *r+(-8)[/tex]

Therefore the correct answer is option D which is 11 over 24 times r plus negative 8.

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The rate of change of an edge of the cube is 0.074 m/min.

The rate at which the volume of the cube changes is calculated as follows;

dv/dt = 2 m³/min

where;

The length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.

v = a³

a = v^¹/₃

where;

The change in the edge with volume;

da/dv = 1/3 (1/v)^2/3

The change in edge of the cube with time is given as;

da/dt = da/dv . dv/dt

da/dt = 1/3 (1/v)^2/3    x   2 m³/min

da/dt = 1/3 (1/27)^2/3 /m²     x    2 m³/min

da/dt = 1/27 x 2  m/min

da/dt = 2/27  m/min

da/dt = 0.074 m/min

Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.

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Answer:

Step-by-step explanation:

contains a typo, namely there is no r on the right side.

Whatever, once you have fixed your post, simply replace the r with -1 then evaluate.

Answer:

b=?(x)

h=2.9

A=5.8

A=b×h/2

5.8=2.9x/2

5.8×2=2.9

11.6=2.9x

11.6/2.9=x

4=x

[tex](f+g)(x)=f(x)+g(x)\\\\=\frac{x}{2}-2+2x^2 +x-3\\\\=2x^2 +\frac{3}{2}x-5[/tex]

we know that, a number X, rounded to 1 decimal place is 12.3

so,

X>=12.25

and

X<12.35

The error interval for X is [12.25,12.35)

Answer:

2.55 per serving

Step-by-step explanation:

all u have to do is divide 12.75 by 5

Answer:

20(7 + 10)

Step-by-step explanation:

The GCF of 200 and 140 are 20

.: by GCF and factoring we have:

20(7 + 10)

Opening the bracket still gives the initial expression.

Answer:

answer is ask to your parents

Winston's total bill at the cash register is $1064.59

Sales tax for the items purchased is $80.59

Given,

The price for the items Winston purchased = $984

Sales tax in Winston's area = 8.19%

We have to find Winston's total bill at the cash register:

Total amount = Price of the items + sales tax amount

Sales tax amount = 8.19% of price of items

Sales tax amount = (8.19/100) × 984

Sales tax amount = $80.59

Now,

Total bill amount = Price of the items + sales tax amount

Total bill amount = 984 + 80.59

Total bill amount = 1064.59

Therefore, Winston's total bill at the cash register is $1064.59

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The answer is 1.83

Step-by-step explanation:

Look it up