Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?

The amount the women's co-operative will earn making packing sacks in the specified week is about K6,355.75

A co-operative is a business or organization that is jointly owned and run by the members of the co-operative, who share in the benefits and profits of the business.

The amount the women earn can be calculated using arithmetic operations, including, subtraction, division, addition, multiplication.

The amount paid per sack = K3.55

The amount the paid for the first 1,000 packing sacks made during the week = K3.55

The amount they are paid for sacks made over 1,000 = 80  toea

The number of sacks the women make in the specified week = 1,645 sacks,

The amount the women will earn on the specified week is therefore;

1,645 × K3.55 + (1,645 - 1,000) × 80 toea

1 Kina = 100 toea, therefore;

80 toae = K0.8

1,645 × K3.55 + (1,645 - 1,000) × K0.8 = K5,839.75 + K516 = K6,355.75

Learn more on arithmetic operations here: https://brainly.com/question/31207478

#SPJ1

Answer: y=10x+50

Step-by-step explanation:

Answer:

(x+1)(x-5)

Step-by-step explanation:

Answer:

24-n

Step-by-step explanation: hope this helps if it does pls give brainliest tysm!

Answer:

24-n

Step-by-step explanation: we taking away so that is substraction.

Answer:

There are two solutions

1: -7/4

2: -1

Step-by-step explanation:

Hope this helps

Brain-List?

Answer:

Decreased by 19%.

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

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

Samuel's test score if he got 9 questions wrong=55

Samuel's test score if he got x questions wrong=45

Mean score: A mean scale score is the average performance of a group of students on an assessment. Specifically, a mean scale score is calculated by adding all individual student scores and dividing by the number of total scores. It can also be referred to as an average.

let y equal the number of questions

let's find how many total questions are there,

100=5y

divide by the coefficient of y which in the case is 5

20=y

so we have total of 20 questions each are worth 5 points

now, Samuel got 9 questions wrong and if we know they are 20 total questions

20-9=11

so, we know Samuel got 11 questions correct

let's use an expression to figure out his score

let x be the number of questions

5x

substitute

5(11)=55

his score if he got x questions wrong

20-11=9

9(5)=45

Samuel's test score if he got 9 questions wrong=55

Samuel's test score if he got x questions wrong=45

to learn more about score problems visit:

https://brainly.com/question/14040376

#SPJ1

Answer:

a = 5, b = - 13

Step-by-step explanation:

The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)

Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.

2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0

2(- 8) + 4a - 2b - 30 = 0

- 16 + 4a - 2b - 30 = 0

- 46 + 4a - 2b = 0 ( add 46 to both sides )

4a - 2b = 46 → (1)

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

Similarly when f(x) is divided by (cx - a) the remainder is f(\(\frac{c}{a}\) )

The remainder on dividing by (2x - 1) is - 35, then by substituting x = \(\frac{1}{2}\)

2(\(\frac{1}{2}\) )³ + a(\(\frac{1}{2}\) )² + \(\frac{1}{2}\) b - 30 = - 35

2(\(\frac{1}{8}\) ) + \(\frac{1}{4}\) a + \(\frac{1}{2}\) b - 30 = - 35 ( add 30 to both sides )

\(\frac{1}{4}\) + \(\frac{1}{4}\) a + \(\frac{1}{2}\) b = - 5 ( multiply through by 4 to clear the fractions )

1 + a + 2b = - 20 ( subtract 1 from both sides )

a + 2b = - 21 → (2)

Solve (1) and (2) simultaneously )

Add (1) and (2) term by term to eliminate b

5a = 25 ( divide both sides by 5 )

a = 5

Substitute a = 5 into (2)

5 + 2b = - 21 ( subtract 5 from both sides )

2b = - 26 ( divide both sides by 2 )

b = - 13

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

Using the remainder theorem we can write,

f(x) = 2x³+ ax² + bx - 30

f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0

-16 + 4a - 2b - 30 = 0

4a - 2b = 46   ........ equation 1

f(x) = 2x³+ ax² + bx - 30

f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35

(1/4) + a(1/4) + b(1/2) = -35 + 30

(1+a+2b)/4 = -5

1 + a + 2b = -5 × 4

a + 2b = -21   .......... equation 2

Adding the two equations,

4a + 2b + a - 2b = 46 - 21

5a = 25

a = 25/5

a = 5

Substitute the value of a in any one of the equation,

a + 2b = -21

5 + 2b = -21

2b = -21 - 5

2b = -26

b = -26/2

b = -13

Hence, the value of a and b are 5 and -13, respectively.

Learn more about the Remainder Theorem here:

https://brainly.com/question/13264870

#SPJ2

Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

Answer:

yup it and is correct and is 15

The conclusion that the diagram supports using the line transversal theorem is; AB/BC = FE/DE

The line transversal theorem states that If two lines and a transversal form corresponding angles that are congruent, then it means that the lines are parallel.

The question tells us that the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals is true.

Line CD, line BE, and line AB are the given parallel lines.

Meanwhile, Line AC and line DF are the transversal lines.

Therefore, using the line transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE.

Rearranging this gives;

AB/BC = FE/DE

Read more about line transversal theorem at; https://brainly.com/question/2141319

#SPJ1

Answer:

Step-by-step explanation:

S= 2πrh

<=> 3520= 2x3.142xrx40

=> r ≈ 14

The radius of the cylindrical lampshade is approximately 13.98 cm.

The formula for the curved surface area of a cylinder is 2πrL, where r is the radius, L is the height and π is pi. Given that the curved surface area of a cylindrical lampshade is 3520 cm² and the height is 40cm.

We know that:

2πrL = 3520cm²

So we can solve for the radius by dividing both sides by 2πL:

r = 3520cm² / (2π * 40cm)

Substituting the value of pi we have

r = 3520cm² / (6.284 * 40cm) = 3520cm² / 251.36cm = 13.98cm

The radius of the cylindrical lampshade is approximately 13.98 cm.

Learn more about the curved surface area of cylinder,

https://brainly.com/question/28218279

Answer:

79

Step-by-step explanation:

add this you have easily find answer

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

Read mroe on quadratic graph here:https://brainly.com/question/1523847

#SPJ1

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!

the answer is 50 luv

The figure of the shaded region is shown in graph.

Now, Based on the given information, we can create the following system of inequalities to represent Josh's weekly exercise program:

for he exercises for at least 10 hours;

⇒ x + y ≥ 10

And, When he spends at most 8 hours doing cardiovascular work is,

x ≤ 8

When, he spends at most 6 hours on weight training,

y ≤ 6

Hence, To graph these inequalities, we can start by graphing the three lines that represent each of the above equations.

The first inequality, x + y ≥ 10, represents a line with a y-intercept of 10 and a slope of -1.

The second inequality, x ≤ 8, represents a vertical line at x = 8.

The third inequality, y ≤ 6, represents a horizontal line at y = 6.

Thus, The figure of the shaded region is shown in graph.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ1

Answer:b

Step-by-step explanation:Evaluate the expression when a=−15 and b=−5.

Answer:

There is one solution and that answer is mixed number form  1 5/7 or exact form 12/7

Step-by-step explanation:

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

Read more about sine rule here:

https://brainly.com/question/20839703

#SPJ1

The mean of the probability distribution is 3.188, the sampling distribution is 2.25 and x is an unbiased estimator.

a. To find the mean (u) of a probability distribution, we calculate the expected value as follows:

u = ∑x * p(x) = (0.5 * 0.0625) + (2.5 * 0.125) + (0.25 * 0.25) + (0.25 * 0.25) + (0.25 * 0.25) = 2.25

To find the variance (o^2) of the distribution, we calculate it as follows:

o^2 = ∑(x - u)^2 * p(x) = (0.5 - 2.25)^2 * 0.0625 + (2.5 - 2.25)^2 * 0.125 + (0.25 - 2.25)^2 * 0.25 + (0.25 - 2.25)^2 * 0.25 + (0.25 - 2.25)^2 * 0.25 = 0.5625

So, o = √0.5625 = 3.188

b. The sampling distribution of the sample mean x for a random sample of n=2 measurements from this distribution is given by:

x = (x1 + x2) / n = (2.25 + 2.25) / 2 = 2.25

As n approaches infinity, the sample mean x approaches the population mean u, and the distribution of x becomes more and more concentrated around u.

c. Yes, x is an unbiased estimator of u because its expected value is equal to the population mean: E(x) = u.

Learn more on probability distribution here;

https://brainly.com/question/23286309

#SPJ1

Answer:

68

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:68

Step-by-step explanation:

5+9*7=68

The standard form of the expression (8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7)  is 5x² - 6x.

The Standard Form for writing down a polynomial is to put the terms with the highest degree.

The expression or polynomial in standard form can be represented as follows:

(8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7) = 8x² - 3x + 3 + 3x² - 3x + 4 - 6x² - 7

combine like terms

8x² - 3x + 3 + 3x² - 3x + 4 - 6x² - 7 = 8x² + 3x² - 6x² - 3x - 3x + 3 + 4 - 7

8x² + 3x² - 6x² - 3x - 3x + 3 + 4 - 7 = 11x² - 6x² - 6x  = 5x² - 6x

Therefore, the standard form of the expression (8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7)  is 5x² - 6x.

learn more on expression here: brainly.com/question/4837280

#SPJ1

The answer is no. As the p-value is more than 0.01, evidence does not support Annie's claim that the chances of getting married for this group is greater than 3.4%.

It assumes that the observed result is due to chance and there is not any difference between specified populations.

To determine this, we must calculate the p-value.

The number of successes in the sample is 20 and the number of observations is 407.

The sample proportion = 0.049. (20/407)

The hypothesis is that the percentage of women who got married is greater than 3.4%.

The null hypothesis is that the percentage is 3.4%.

We can use the z-test statistic to test this hypothesis.

The z-test statistic is calculated as:

z = (0.049-0.034)/(√(0.034(1-0.034)/407))

= 1.66.

The p-value is calculated as:

p-value = Φ/(1.66)

= 0.97.

This is more than 0.01 ,so we can not reject the null hypothesis.

This evidence does not support Annie's claim that the chances of getting married for this group is greater than 3.4%.

For more questions related to p-value

https://brainly.com/question/4621112

#SPJ1

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation: you have to multiply each fraction

Answer:

Ok, if the volume = length x width x height, then why don't you multiply

3 2/3 x 4 1/8 x 2 1/2 and get your answer.  Do you want someone else to do that for you?  You should know how to do that 5th grade multiplication, so get with  it and do it, because I'm not going to do it for you.

Step-by-step explanation: