New, larger bottle of shampoo contains 20 ounces. the bottle says you get 33% more than the amount in the original bottle. how many ounces of shampoo were in the original bottle?

Answer:

xy + z = 16

5(2) = 10 + 6 = 16

Answer:

AC = 18

Step-by-step explanation:

AC = AB + BC = 7 + 11 = 18

Applying the linear pair postulate, m<SQR = 74°.

According to the linear pair postulate, the equation below is holds true:

m<TQS + m<SQR = 180.

m<TQS = (3m + 1)°

m<SQR = (2m + 4)°

Substitute the values

(3m + 1) + (2m + 4) = 180

Solve for m

3m + 1 + 2m + 4 = 180

Add like terms

3m + 2m + 1 + 4 = 180

5m + 5 = 180

Subtract 5 from both sides of the equation

5m + 5 - 5 = 180 - 5

5m = 175

m = 35

m<SQR = (2m + 4)° = 2(35) + 4 = 74°.

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Answer:

I think it is none of the choices.

Step-by-step explanation:

The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.

A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.

Now, as per the given question;

The attorney charges price for an initial meeting = $850.

And, the charges for each hour is = $250.

Thus, the equation which shows the given situation is-

y = 250x + 850.

In which, 250 is the value of the slope 'm'.

The y- intercept is shown by 850.

Thus, the total cost will be found out by equation  y = 250x+850.

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Answer:

c

Step-by-step explanation:

because 7 of the 12 sections are shaded in blue.

Answer:

y =x + 3

Step-by-step explanation:

i gotchu

Answer:

x = 10

Step-by-step explanation:

the angle is equally bisected from the middle so

3x - 3 = 4x - 13

13 - 3 = 4x - 3x

x = 10

<FGH = 3(10) - 3 = 27

< HGI = 4(10) - 13 = 27

<FGI = <FGH + <HGI = 27 + 27 = 54

This speed in meters per hour is 0.01 meter per hour

The given parameter is

Speed = 63 centimeters every 2 days

Divide 63 by 2

So, we have:

Speed = 31.5 centimeters every day

There are 24 hours in a day

So, we have

Speed = 31.5 centimeters every 24 hours

100 cm equals 1 m

So, we have:

Speed = 0.315 meters every 24 hours

Divide

Speed = 0.013125 meter per hour

Approximate

Speed = 0.01 meter per hour

Hence,  this speed in meters per hour is 0.01 meter per hour

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The value of e is 33/5 or 6.6 era.

It is given in the question that:-

e*i = 9r

Where,

e represents era

i represents the number of innings pitched, and

r represents the number of earned runs allowed

Also, we are given that:-

i = 45 innings, and

r = 33 earned runs allowed

We have to find the value of e for the given data.

Hence, applying the formula given in the question, we get

e*45 = 9*33

Now, as only one variable is left in the equation, it has become a linear equation in one variable.

Hence, solving the linear equation, we get

e = (9*33)/45

e = 33/5

e = 6.6 era

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The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)

Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation

Therefore,the equation of graph is  (x-3)(x+1).

Given the equation y=[tex]x^{2} -5x+4[/tex]

The y-intercept is defined as the graph passing a fixed point at x=0 line

i.e.(0,c) pass through it . c is the y-intercept

c=0-0+4

c=4

Therefore,The y-intercept of  the equation y=[tex]x^{2} -5x+4[/tex] is 4

Factorising  y=[tex]x^{2} -5x+4[/tex]

⇒  y=[tex]x^{2} -5x+4[/tex]

⇒y=[tex]x^{2} -x-4x+4[/tex]

⇒y=x(x-1)-4(x-1)

⇒y=(x-4)(x-1)

Therefore, the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)

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Answer:

G = (-1,4)

I drew it and work it out tho

The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.

To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.

For the given value;

= 49,000 grams

write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10

= 4.9000 × 10⁴

This could be written as;

= 4.9 × 10⁴.

Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.

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Answer:

x = 20

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x is 20.

Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2

Quadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:

3x^2=7x+2

Equate to zero to have:

3x² - 7x + 2 = 0

Factorize

3x² - 6x - x +2 = 0

3x(x-2) - 1(x- 2) = 0

Group

(3x-1)(x-2) = 0

3x - 1 = 0 and x - 2 = 0

Determine the values of x

3x = 1 and x = 2

x = 1/3 and 2

Hence the solution to the given quadratic equation are 1/3 and 2

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Hence the required expression is Proved.

Given the expression is 2 1/4 ₋ 6/7 = 39/28

Consider L.H.S 2 1/4 ₋ 6/7

Convert improper fraction to proper fraction.

2 1/4 = 9/4

take LCM of the denominators.

The LCM is 28.

9×7/28 ₋ 6×4/28

63/28 ₋ 24/28

Now subtract.

63 ₋ 24/28

39/28

Hence proved.

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Your question is incomplete. Please find the missing content here.

Show that 2 1/4 ₋ 6/7 = 39/28

Answer:

Price: $178.57

30% off: -$53.57

Sale Price: $125.00

Step-by-step explanation:

She buys each shirt for $100.

She wants to make a profit of 25%.

25% of $100 = 0.25 × $100 = $125

She must sell the shirt at $125.

She wants to mark the shirt at a higher price than $125, so that after the 30% discount, she will still sell it for $125.

Call the higher price x.

x - 30% of x = 125

x - 0.3x = 125

0.7x = 125

x = 125/0.7

x = 178.57

The sale tag can read:

Price: $178.57

30% off: -$53.57

Sale Price: $125.00

Answer:

judging from the list of numbers i would pick a

[tex]\frac{Y}{6} - 3 = -11[/tex]

[tex]\frac{Y}{6} - \frac{18}{6} = -\frac{66}{6}[/tex]

[tex]Y - 18 = -66[/tex]

[tex]Y = -66 + 18 = -48[/tex]

9. Enrique would earn $7. 50 per hour. Option B

10. The number of girls that were at the assembly is 1390 . Option J

11. 40% of 60 is 24 . Option C

12. The simple interest is $72. 00 . Option F

13. The factory produces 1080 shoes on Tuesday. Option D

9. From the information given, we have;

He would earn;

= 420/ 56

= $7. 50 per hour

10. We have that;

The number of girls at the assembly would be;

= 23/ 20 × 1200

= 1. 15 × 1200

= 1380

11. Let the number be x

40% of x = 24

40/ 100x = 24

0. 4 x = 24

Make 'x' the subject

x = 24/ 0. 4

x = 60

12. The formula for simple interest is expressed as;

Simple interest = PRT / 100

Simple interest = 300 × 4 × 6/ 100

Simple interest = 7200/ 100

Simple interest = $72. 00

13. We have that;

Monday's production = 900 shoes

Tuesday's production = 900 + 900 × 20% = 900 × 20/ 100 = 18000/ 100 = $900 + 180

= $1080

Thus, the total amount Enrique earns per hour is $7. 50 .Option B

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Answer:

[tex]\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}[/tex]

[tex]\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

C)  See attachment.

Step-by-step explanation:

Given function:

[tex]f(x)=2x^2-x-10[/tex]

To factor a quadratic in the form  [tex]ax^2+bx+c[/tex] , find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] :

[tex]\implies ac=2 \cdot -10=-20[/tex]

[tex]\implies b=-1[/tex]

Therefore, the two numbers are -5 and 4.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies f(x)=2x^2-5x+4x-10[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies f(x)=x(2x-5)+2(2x-5)[/tex]

Factor out the common term  (2x - 5):

[tex]\implies f(x)=(x+2)(2x-5)[/tex]

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

[tex]\implies (x+2)(2x-5)=0[/tex]

Therefore:

[tex]\implies (x+2)=0 \implies x=-2[/tex]

[tex]\implies (2x-5)=0 \implies x=\dfrac{5}{2}[/tex]

So the x-intercepts are:

[tex]x=-2, \:\:x=\dfrac{5}{2}[/tex]

The x-value of the vertex is:

[tex]\implies x=\dfrac{-b}{2a}[/tex]

Therefore, the x-value of the vertex of the given function is:

[tex]\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}[/tex]

To find the y-value of the vertex, substitute the found value of x into the function:

[tex]\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}[/tex]

Therefore, the vertex of the function is:

[tex]\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the leading coefficient of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the x-value of the vertex.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is symmetrical.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

The distributive property of multiplication over addition is A (B + C) = AB + AC.

Properties of Numbers.

Numbers are have 5 main properties of operation which are:

Given,

Here we have to write the distributive property of multiplication over addition of a conditional statement.

Basically, the distributive property defines the distributing ability of operation over another mathematical operation within a bracket.

It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction.

Here we need to write the distributive property of multiplication over addition of a conditional statement.

So, The distributive property of multiplication over addition is expressed as

=> A × (B + C) = AB + AC.

Let us verify this property with the help of an example.

For example:

The expression 2(1 + 4) using the distributive law of multiplication over addition.

=> 2(1 + 4) = (2 × 1) + (2 × 4)

⇒ 2 + 8 = 10

Hence, the distributive property of multiplication over addition is stated.

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Amount after 10 years at 3%, 4% and 5.5% interest with principal $20000 is $26878.32, $29604.88 & $34162.88 respectively.

Although a part of your question is missing, you might be referring to this full question: Suppose that P dollars in principal are invested for years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. p=$20000, t=10yr

a. 3% interest

b. 4% interest

c. 5.5% interest

P = $2000

T = 10 years

Formula to be used:

A = P(1+r/100)^n

A = total amount after n years

P = principal amount invested

r  = rate of interest

n = number of years the money is invested

Solving for part a:

A = 20000(1+3/100)^10

= 20000*1.34

A = 26878.32

Solving for part b:

A = 20000(1+4/100)^10

= 20000*1.48

A = 29604.88

Solving for part c:

A = 20000(1+5.5/100)^10

= 20000*1.70

A = 34162.88  

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A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

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Answer:

-1/5

y=-1/5 x-8

-1/5 is the slope

Step-by-step explanation:

-1/5

Formula-    y=mx+b

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

Simplify the left side

Simplify each term.

Combine 1/8 and x.

x/9+5y/8=-5

Subtract x/8 from both sides of the equation.

5y/8=-5-x/8

Multiply both sides of the equation by8/5.

8/5.5y/8=8/5(-5-x/8)

Simplify both sides of the equation.

Simplify the left side.

Simplify 8/5.5y/8

y=-x/5-8

y=-1/5 x-8

Step-by-step explanation:

Given equation:

1/8x + 5/8y =-5

Now write it in standard form like ax+by+c=0

1/8x + 5/8y + 5= 0

Now,slope of line (m) = -a/b

here value of a is 1/8 and value of b is 5/8

now by formula..

-(1/8)÷(5/8) = m(slope)

-1/8 × 8/5 = m

-1/5 = m

here ia your answer

Answer:

a₁ = - 11 and d = 3

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

given S₄₀ = 1900 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ 2a₁ + 39d ] = 1900 , that is

20(2a₁ + 39d) = 1900 ( divide both sides by 20 )

2a₁ + 39d = 95 → (1)

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄₀ = 106 , then

a₁ + 39d = 106 → (2)

subtract (2) from (1) term by term to eliminate d

a₁ + 0 = - 11 , so

a₁ = - 11

substitute a₁ = - 11 into (2) and solve for d

- 11 + 39d = 106 ( add 11 to both sides )

39d = 117 ( divide both sides by 39 )

d = 3