A recipe calls for 3/4 cup of pineapple juice to make 6 servings. If the same amount of pineapple juice is used for each serving can be made using 1 gallon of pineapple juice?

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The original price of the camera is $220.00 based on the fact that discount of 44% is $96.80

What portion of the original price is the discount?

The discount of $96.80 in dollar terms, represents 44% of the original of the camera, in other words, we can determine the 1%  of the original price of the camera by dividing the discount of $96.80 by 44

1% of the original price of the camera=$96.80/44

1% of the original price of the camera=$2.20

100% of the original price=1% of the original price of the camera*100

100% of the original price=$2.20*100

100% of the original price=$220.00

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Answer:

32 ft tall

Step-by-step explanation:

24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32

Answer: 0.5

Step-by-step explanation: since 1/2 is half of anything like it could be 3/6 but equal 1/2 in slimplest form

Answer: not related

Step-by-step explanation: Statistical tests are employed when trying to establish the existence or non-existence of relationship between two variables. Variables may be numerical or categorical, in most cases, regression is employed in establishing relationship between. numerical variables. However, the Chisquare test of independence is employed when analysing and trying to establish if a relationship exists between two categorical variables. With the null hypothesis maintain that both variables are independent are hence unrelated while the alternative hypothesis states otherwise.

Answer:

Outcome Y is independent of Factor X.

Step-by-step explanation:

The null hypothesis for the Chi-Square Tables Test is:

Outcome Y is independent of Factor X.

Answer:

The null and alternative hypothesis are:

\(H_0: \mu=135\\\\H_a:\mu\neq 135\)

P-value = 0.0162.

Yes, there is enough evidence to support the claim that the corn yield is significantly different from 135 bushels per acre.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the corn yield is significantly different from 135 bushels per acre.

Then, as it is a two-tailed test (we are looking if the yield has changed) the null and alternative hypothesis are:

\(H_0: \mu=135\\\\H_a:\mu\neq 135\)

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=138.4.

The standard deviation of the population is known and has a value of σ=10.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{50}}=1.414\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{138.4-135}{1.414}=\dfrac{3.4}{1.414}=2.4\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2.4)=0.0162\)

As the P-value (0.0162) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the corn yield is significantly different from 135 bushels per acre.

Answer:

\(\large\boxed{\sf x = \frac{8y+1}{7} }\)

\(\large\boxed{\sf x = \frac{7x-1}{8} }\)

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

Answer:

the answer is 3x - 4 / 3

Step-by-step explanation:

x + x-6 + x+2 / 3

3x - 4 / 3

Answer:

The answer is, x= 145

Step-by-step explanation:

Since line BD passes through the center E of the circle, then the angle must be a right angle or a 90 degree angle.

Hence angle DAB must be 90 degrees

or,

\(angle \ DAB = 0.3(2x+10) = 90\\90/0.3 = 2x+10\\300 = 2x+10\\300-10=2x\\290=2x\\\\x=145\)

Hence the answer is, x= 145

Answer:

-3

Step-by-step explanation:

y=0-3

y=-3

By definition,  the correct answer is the first option: the y-intercept is -3.

A linear equation o line can be expressed in the form y = mx + b.

where

The ordinate to the origin is the value where the line intersects the axis. Thus, the value of x must be 0 for this to occur.

In this case you know that the form of the linear equation is y=x-3.

Being x=0, then:

y=0-3

y= -3

Finally, the correct answer is the first option: the y-intercept is -3.

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76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.

Hope this helps; please mark BRAINLIEST.

Answer:

seventy six million eight hundred and sixty thousandth and 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

B. x = 0.9

C. x = 1.9

D. x = 1.1

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

\(\\ \sf\longmapsto 0.775\)

\(\\ \sf\longmapsto 0.77\)

\(\\ \sf\longmapsto 0.8\)

Option A is correct

Answer:

42/11

Step-by-step explanation:

11/7 = 6/v

cross multiply:

11v = 6x7 = 42.

v = 42/11 ≈ 3.81

Answer:

1228.31 mm^2

Step-by-step explanation:

The area for the circle is

(20^2*3.14)/2

The area for the rectangle

30*20

Total area

1228.31

Answer:

the first one is true

Step-by-step explanation:

√36>5 = 6>5

7<√10 = 7<3.162

√9>√25 = 3>5

Therefore, the first one is correct

Answer:

9 and 4

Step-by-step explanation:

9 times 4 is 36 and 9 plus 4 is 13

The proportion to calculate triangle side LM in the given triangle is 3/2

The side LM is calculated using the idea of similar triangle, in this case the triangles are equal in proportion to each other

To find the proportion we take the ratio of the sides this is done as follows

LM / HJ = MN / JK = LN / HK

substituting the values

MN / JK = 9 / 6 = 3 / 2

the proportion is = 3/2

to find LM

4.5 * 3/2

= 6.75 cm

Using proportion of 3/2 the length of side LM is solved to be 6.75 cm

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Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

2

Step-by-step explanation:

Take out 25% of 8

25/100*8= 2

Required Amount=2

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

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When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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Answer:

\(-7x^{2} -3x-2\)

Step-by-step explanation:

\((-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2\)

Answer:

-7x² -3x - 2

Step-by-step explanation:

(-2x²-5x -7) - (5x² - 2x - 5)

removing parentheses

-2x² -5x - 7 -5x² + 2x + 5

collect like terms

-2x² - 5x² -5x + 2x -7 + 5

= -7x² -3x - 2

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

y=-2x-2

Step-by-step explanation:

Since this line is supposed to be parallel it will have the same slope.

y=-2x+b

no plug in the (0,-2)

-2=b

y=-2x-2

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33\(\frac{4}{5}\)                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54\(\frac{1}{5}\)                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg \(\frac{6}{8}\) reciprocal is \(\frac{8}{6}\), on multiplication \(\frac{6}{8}\)*\(\frac{8}{6}\) =1

Reciprocal of the following are as follows

(1) \(\frac{8}{6}\)  

(2) \(\frac{2}{7}\)

(3) 33\(\frac{4}{5}\)  =\(\frac{ 33*5 + 4}{5}\) = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54\(\frac{1}{5}\) => \(\frac{54*5 +1}{5}\) = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

Answer:

15

Step-by-step explanation:

First we need to find the length of BC and for that we gonna use Pysagoras theorem

10^2 + (2√11)^2 = |BC|^2

√144 = |BC|^2

12 = BC Now we will use this to find the value of x

x^2 = 12^2 + 9^2

x^2 = 144 + 81

x^2 = 225

√x^2 = √225

x = 15

Answer:

The value of x is 15 cm.

Step-by-step explanation:

There are two triangles in the diagram that share a common side.

The triangles are:

ABC and BDC

First we have to find the third side of BDC so that we can use it to find the value of x.

The triangle is a right angled triangle so Pythagoras theorem can be used to find the third side.

In the triangle

\(Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm\)

Pythagoras theorem is given as:

\((Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm\)

Now for triangle ABC

\(Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\\)

Using Pythagoras theorem

\(AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm\)

Hence,

The value of x is 15 cm.

Answer:

1) smaller median

2)an equivalent