A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 576 milliliters of the drug, how many milliliters of compound A are needed?

Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

Step-by-step explanation:

You can ask me ıf you don't understand :)

Answer:

A variable cubed: [tex]x^3[/tex]

Quotient of some number and 3: [tex]b / 3[/tex]

Product of an unknown number and 3: [tex]3a[/tex]

Three less than a variable: [tex]y- 3[/tex]

Three more than some number: [tex]z +3[/tex]

Step-by-step explanation:

A variable cubed:

This implies that a variable multiplied by itself in 3 places

From the list of options, [tex]x^3[/tex] answers this question because;

[tex]x^3 = x * x * x[/tex]; i.e. x multiplied by itself in 3 places

Quotient of some number and 3: [tex]b / 3[/tex]

The quotient of a number means the division of a number by another number;

Represent the number with b;

When divided by 3; the quotient is [tex]b / 3[/tex]

Product of an unknown number and 3: [tex]3a[/tex]

This means 3 multiplied by a number;

Represent the unknown number with a;

This implies that

[tex]3 * a = 3a[/tex]

Three less than a variable:

This means that we subtract 3 from a variable;

Represent the variable with y

This implies that

[tex]y - 3[/tex]

Three more than some number:

This means that we add 3 to a variable;

Represent the variable with z

This implies that

[tex]z + 3[/tex]

Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

A rational expression is anything of the form P/Q where both P and Q are polynomials. The value of Q cannot be zero. Recall that polynomials cannot have square roots of variables in them. So we cannot have something like [tex]\sqrt{x}[/tex].

You can think of [tex]\sqrt{x}[/tex] as [tex]x^{1/2}[/tex]. The non-whole number exponent is not allowed with polynomials. Only positive whole numbers are allowed as exponents when it comes to polynomials.

Side note: choice C can be written as 4x^0 which is a polynomial (specifically it is a monomial of degree 0, similar to how choice A is as well).

3x² – 4√x cannot be a part of a rational expression. Then the correct option is B.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

If in the expression, there is a square root on any variable, then the expression become irrational or non-rational expression.

3x² – 4√x cannot be a part of a rational expression.

Then the correct option is B.

More about the rational number link is given below.

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Answer:

E. -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

In order to correctly determine the possible values of n, first let's understand what -2 < n ≤ 6.

Let's write out the given statement in words. We have, -2 is less than (<) n, and n is equal to or less than (≤) 6.

It means, the possible values of n lies between -1 up to 6.

Thus, they are: -1, 0, 1, 2, 3, 4, 5, 6

The answer is E

Answer:

Option B is the right option.

solution,

X=4

y=2

now,

[tex]1.3(x + 2) - (y - 6) \\ = 1.3(4 + 2) - (2 - 6) \\ = 1.3 \times 6 - ( - 4) \\ = 7.8 + 4 \\ = 11.8[/tex]

Hope this helps..

Good luck on your assignment

Answer:

It's 11.8

Step-by-step explanation:

Answer: D. (x+5)/(x-3)

Step-by-step explanation:

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex]

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it [tex]x\in {R-3}[/tex]

Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]

[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.

Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]

Hence, Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex] is for option D.

Answer:

OPTION D IS NOT CORRECT.

i took the test & selected D and it was wrong.

THE CORRECT ANSWER IS C.

Step-by-step explanation:

Answer:

22.4 litres

Step-by-step explanation:

Reaction:

2Mg (s) + O2 (g) → 2 MgO (s)

From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2

STP conditions mean:

Using the equation of state for ideal gases:

PV = nRT

where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:

V = nRT/P

V = 1*0.082*273.15/1

V = 22.4 litres

Answer:

177.8cm

tell me if it's right :)

Step-by-step explanation:

Answer: The initial number of points on the line was 15.

Step-by-step explanation:

8n-7=113

8n=120

n=15

Answer:

15 points

Step-by-step explanation:

Initial number of points= x

It can be added 1 less points between the existing ones, so:

Step 1

Step 2

Step 3

Now,

Number of initial points is 15

Answer:

The measure of the angle will be 25°

Step-by-step explanation:

when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.

Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).

The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°.  we will get 310. The angles will be 310/2 = 155°.  Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.  

Answer:

25 degrees

Step-by-step explanation:

justt trust me

Answer:

32.5.

Step-by-step explanation:

32 + 20 + 40 + 44 + 21 + 38 = 52 + 84 + 59 = 195

There are 6 terms in the data set.

195 / 6 = 65 / 2 = 32.5.

Hope this helps!

Answer:

Isn't it 6?

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

From the above question, total number of cats in the litter = 7

We are told in the question that 4/7 of the kittens are white

This means

The number of kittens that are not white = 7 - 4/7 = 3/7

The number of kittens that are female and white = 3/7

This question is a conditional probability question

The probability that your cousin will choose a female kitten given that it is white is calculated as:

Probability that the kittens are female and white ÷ Probability that the kittens are white

= 3/7 ÷ 4/7

= 3/7 × 7/4

= 3/4

Therefore, probability that your cousin will choose a female kitten given that it is a white is 3/4

Answer:

The correct option is D

D) the height of the rock 3.2 seconds after it is propelled

Question:

The question is incomplete as it doesn't say what to find. I know that whole question which is given below

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?

A) the height of the rock 3.2 seconds before it reaches the ground

B) the time it takes the rock to reach the ground, or 3.2 seconds

C) the time it takes the rock to reach a height of 3.2 meters

D) the height of the rock 3.2 seconds after it is propelled

Solution:

h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.

Answer:

31/40

Step-by-step explanation:

The question is incomplete. Here is the complete question with appropriate diagram.

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.

What is the probability that a point chosen at random is in the blue region?

Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.

Using the formula Area of a circle = πr²

314 = 3.14r²

r² = 314/3.14

r² = 100

r = 10 cm

Diameter of the circle = 2*10 = 20 cm

Area of a square = Length * length

Area of the outer square = 20*20 = 400cm²

Area of the inner square with side length 2cm = 2*2 =4cm²

Area of the shaded region = Area of the square - Area of the inner square

= 314-4 = 310cm²

The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square

= 310/400

= 31/40

Answer: its 2/157

Step-by-step explanation: edg 2020

Answer:

Hey there!

Given Equation

4a-5=3

Add 5 on both sides

4a=8

Divide by 4 on both sides

a=2

Hope this helps :)

Answer:

Step by step explanation

4a - 5 = 3

Add 5 on both sides:

4a - 5 +5 = 3 + 5

Simplify

4a = 8

divide both sides by 4

4a/4 = 8/4

Simplify

a = 2

Hope this helps...

Good luck on your assignment..

Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.

Step-by-step explanation:

Here you must remember the relation:

Speed = distance/time.

So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.

We know that:

Sa = Sb + 12mph.

and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:

Sa*T = 141mi

Sb*t = 105mi

we can take the quotient of those two and get:

(Sa/Sb) = 141/105.

now we can replace Sa by Sa = Sb + 12mph.

(Sb + 12mph)/(Sb) = 141/105.

Sb + 12mph = (141/105)*Sb

Sb*(141/105 - 1) = 12mph

Sb = 12mph/(141/105 - 1) = 35mph.

and we know that:

Sa = Sb + 12mph = 35mph + 12mph = 47mph.

Answer:

x = 4

Step-by-step explanation:

We would like to find the value of x such that:

2x + 1 = (8x + 5) + 20

Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.

Now, we simply solve for x:

2x + 1 = 8x + 5 + 20

2x + 1 = 8x + 25

6x = 24

x = 4

The answer is thus 4.

~ an aesthetics lover

Answer:

x = -4.

Step-by-step explanation:

The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.

2x + 1 = 8x + 5 + 20

2x - 8x = 25 - 1

-6x = 24

x = -4

Hope this helps!

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

The arithmetic sequence using a Recursive Formula is defined as

aₙ = a₍ₙ₋₁₎+2

A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.

Given that, Arithmetic Sequence defined by a Recursive Formula:

aₙ = -8 + 2(n - 1)......(i)

The explicit formula of an AP is

aₙ = a₁ + (n-1)d

Comparing the equations, we get,

a₁ = -8 and d = 2

Now, the recursive formula of an AP is

aₙ = a₍ₙ₋₁₎ +d

Put d = 2,

aₙ = a₍ₙ₋₁₎ +2

Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2

For more references on the Recursive Formula, click;

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Answer:

f(x)=10+0.25x

she can put maximum 20 words

Step-by-step explanation:

f(x)<=15

10+0.25x<=15

0.25x<=5

x<=20

Answer:

10 + .25 w ≤15

Step-by-step explanation:

The flat fee is 10 dollars

It is .25 per word

10 + .25w

This must be less than or equal to the amount she has to spend

10 + .25 w ≤15

Answer:

This is true

Step-by-step explanation:

because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function

Answer:

18 numbers

Step-by-step explanation:

These are all the two digit numbers with at least one 7.

17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97

Answer:

The length of AC is [tex]4x-12[/tex]

Step-by-step explanation:

Length of AB =[tex]x-4[/tex]

Length of CB = [tex]3x-8[/tex]

We are supposed to find the length of AC

So, length of AC = AB +CB

[tex]AB = x-4[/tex]

[tex]BC = 3x-8[/tex]

Length of AC = [tex]x-4+3x-8[/tex]

Length of AC = [tex]4x-12[/tex]

So, AC=[tex]4x-12[/tex]

Hence The length of AC is [tex]4x-12[/tex]

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.

Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation [tex]A = P(1+rt)[/tex]

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]

Round to the nearest whole cent

P = $18,181.82

Answer:

28 meters.

40 meters.

Step-by-step explanation:

Let x be the length of the larger piece, then we have:

1/4 x + 5 = 12

1/4 x = 12 - 5

1/4 x = 7

Multiply both sides by 4:

x = 28 meters.

The total length of the carpet =  12 + 28 = 40 meters.

The length of bigger piece is 28 and the total length of carpet is 40.

By the problem,

A machine cuts a strip of carpet into two pieces.

Given, length of smaller piece is 12 meters .

Also given, length of smaller piece = 5 + 1/4 (length of larger piece)

⇒ Length of larger piece = 4*(length of smaller piece - 5) meters

                                      = 4*(12 - 5) meters

∴ Length of larger piece is = 28 meters

Thus the total length of carpet is = length of larger piece + length of smaller piece .

∴ Total length of carpet is = (28 + 12) meters = 40 meters

The length of bigger piece is (28)

The total length of carpet is (40)

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Answer:

(1, 2)

Step-by-step explanation:

x2-x1/2, y2-y1/2

Plug in the values, and you should get (1, 2)

Answer:

(1,2)

Step-by-step explanation:

To find the midpoint, average the x coordinates and the y coordinates

x = (x1+x2)/2   and y = (y1+y2)/2

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

y = (-2+6)/2 = 4/2 = 2

The midpoint is (1,2)

Answer:

2) [tex]\frac{1}{4} c[/tex]

3/4 of the cyclists did not finish, thus 1/4 did.

3) [tex]59-t[/tex]

56 people were on the bus.  3 people got on(56+3=59).  Then t people got off(-t)

4) [tex]\frac{G}{30}[/tex]

Out of 30 people, g of the are girls

5) [tex]\frac{16}{c}[/tex]

Out of c people, 16 are boys

Hope it helps <3