Two retailers sell vanilla extract by the following price chart. When will their price be the same and how much?

Answer:

98

Step-by-step explanation:

First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.

Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)

This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.

Answer: 98

Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.

So we have 49/4 ÷ 1/8.

Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.

Before multiplying however, always try to cross-cancel.

In this problem, the 4 and 8 cross-cancel to 1 and 2.

So we have 49/1 × 2/1 which is 98/1 or 98.

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

Step-by-step explanation:

number of correct answer is x and

number of wrong answer is y

according to question

In the case of Radhika

5x-2y=30

x=10

y=10

In the case of Jay

5x-2y=-12

x=4

y=16

incorrect answer by Radhika is 10 and by jay is 16

if g(x) = 0, then

x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0

AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.

I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Answer:

The answer is number 2 because a positive number is always bigger than a negitive number

Answer:

change in y

over

change in x

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

please make me brainliest

Answer:

We fail to reject H₀.

At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Step-by-step explanation:

The hypothesis for the statistical test is defined as follows:

H₀ : μ =25 vs. Hₐ : μ > 25

The test statistic value is, z₀ = 0.22.

The p-value of the test is, p-value = 0.41.

The significance level is, α = 0.05.

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

Here, p-value = 0.41 > α = 0.05.

The null hypothesis was failed to be rejected at 5% level of significance.

Conclusion:

There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Answer:

the 2nd one

Step-by-step explanation:

b/c

-5/2x-3≤2

-5/2x≤3+2

-5/2x≤5

-5x≤10

x≥10/-5

x≥-2

Answer:

4.9

Step-by-step explanation:

In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

The ratio of a cube with a surface area of 36 m² to a cube with a

surface area of 81 m².

The face assumed to be square, hence the area is equal to the square of the length.

36 / 81 = 6 / 9

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Answer:

I think similar is the correct answer

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

The functions given are:

f(x) = x²

g(x) = f(-4x-3) + 1

First, find f(-4x-3):

f(x) = x²

f(-4x-3) = (-4x-3)²

Find g(x):

g(x) = f(-4x-3) + 1

g(x) = (-4x-3)² + 1

g(x) = (-1)² (4x+3)² + 1

g(x) = (4x+3)² + 1

First take

y = (x)²

Compress the graph along x axis by multiplying x with 4

y = (4x)²

Shift the graph left by 0.75 units, by adding 3 to x term.

y = (4x+3)²

Shift the graph up by 1 unit by adding 1 to the total terms.

y = (4x+3)² +1

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

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Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answer:

I think it's a,c,and e that aren't polynomials

Answer:

A, C, and E

Step-by-step explanation:

A is not a polynomial because its exponents is negative.

C is not a polynomial because the power of x is ½ and exponents can only be integers

E is not a polynomial because one cannot divide by a variable and the exponent of x is negative

Answer:

Step-by-step explanation:

first we will break the parts of the question down:

d= distance

t= time

function: d=t(60)

the independent variable is t, time, because the (distance) that the car travels depends   on how long the car has been traveling for (time) meaning that the dependent value is distance.

A table we can create with 5 coordinate pairs is:

(time)        (distance)

1 hr            60miles

2 hr           120 miles

3 hr          180 miles

4 hr            240 miles

5 hr           300 miles

(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)

Answer:

b = 28

Step-by-step explanation:

Given

a(7x+2)=bx+8

=> 7ax + 2a = bx + 8

in both the equation there is a term containing x and a term not containing x.

since value of both equation is equal. hence

term containing x on both side will be equal to each and

term independent of x will be equal in both the equation

thus

7ax = bx

2a = 8

=> a = 8/2 = 4

now, plugging a = 4 in 7ax = bx

7*4x = bx

=> b = 7*4x/x = 28.

Thus, value of b is 28.

Answer:

60 feet cubed

Step-by-step explanation:

We are told type of pyramid is a rectangular pyramid.

The volume of a rectangular pyramid = 1/3 × Length × Width × Height

We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.

Volume for one of the pyramid =

1/3 × 4 × 5 × 4.5

= 30 cubic feet

Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.

The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.

Answer:

60 ft

Step-by-step explanation:

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

Answer:

Hey there!

1 liter is equal to 1000 milliliters.

0.25 liters is equal to 250 milliliters.

One mega meter is equal to 1000000 meters.

1.2 Mm= 1200000 meters.

Hope this helps :)

Step-by-step explanation:

1l = 1000ml

Convert 0.25 litres to milliliters

0.25 x 1000 = 250 ml

1 megametre = 1000000

1.2 x 1000000= 1200000m

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

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Answer:

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:

2x² - 9x - 5

Step-by-step explanation:

Step 1: FOIL

2x² - 10x + x - 5

Step 2: Combine like terms

2x² - 9x - 5

Answer:

2x^2−9x−5

Step-by-step explanation:

(2x+1)(x−5)

=(2x+1)(x+−5)

=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)

=2x^2−10x+x−5

=2x^2−9x−5