A recipe calls for 2/3 cup of sugar for every 4/3 teaspoons of lemon juice what is the unit rate in teaspoons per cup

Answer:

The ratio of the green marbles to all the marbles will then be;

Explanation:

Given that;

A jar contains 22 marbles.

5 are blue and 2 are red.

The number of green, which is the remaining marbles is;

So, there are 15 green marbles.

The ratio of the green marbles to all the marbles will then be;

Or

Answer:

Added thanks lol :)

Step-by-step explanation:

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer:

1/24

Step-by-step explanation:

1/4*1/6=1/24

Answer:

(\(2x^{4}\))(\(2x^{5}\))

Step-by-step explanation:

The question really doesn't make any sense but:

(\(2x^{4}\))(\(2x^{5}\)) could work. The bases are the same so yeah. (The base is the thing being multiplied many times by)

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

15 ÷ 6 \(\frac{2}{3}\) ( change mixed number to an improper fraction )

= 15 ÷ \(\frac{20}{3}\)

• leave first number

• change division to multiplication

• turn fraction ' upside down '

= 15 × \(\frac{3}{20}\) ( cancel 15 and 20 by 5 )

= 3 × \(\frac{3}{4}\)

= \(\frac{9}{4}\)

= 2 \(\frac{1}{4}\) → B

The company may need to reconsider its decision to charge extra for the sports channel or come up with better marketing strategies to promote it.

Based on the given information, we can use statistical inference to determine whether the marketing director's claim is true or not. The sample size of 405 is sufficiently large enough for us to use the normal distribution to calculate the confidence interval. Firstly, we need to calculate the sample proportion of viewers who are willing to pay for the sports channel, which is given as 27/405 = 0.0667 (rounded to 4 decimal places). We can then calculate the standard error of the proportion using the formula SE = sqrt[p(1-p)/n], where p is the sample proportion and n is the sample size. Substituting the values, we get SE = sqrt[(0.0667 x 0.9333)/405] = 0.0161 (rounded to 4 decimal places). Next, we can calculate the 95% confidence interval using the formula CI = p ± Z*SE, where Z is the Z-score corresponding to the desired confidence level. For a 95% confidence level, Z = 1.96. Substituting the values, we get CI = 0.0667 ± 1.96 x 0.0161, which gives us a confidence interval of (0.0357, 0.0977) (rounded to 4 decimal places). Since the confidence interval does not include the marketing director's claim of more than 6%, we can conclude that there is not enough evidence to support the director's claim. In fact, the lower bound of the confidence interval suggests that only 3.57% of subscribers may be willing to pay for the channel, which is significantly lower than the claim. Therefore, the company may need to reconsider its decision to charge extra for the sports channel or come up with better marketing strategies to promote it.

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The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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The value of the variables for which ABCD must be a parallelogram include the following:

x = 4.

y = 5.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

Line segment AC = Line segment BD

Next, we would write an equation to model the length of the diagonals of this parallelogram as follows;

4x - 2 = 3y - 1  .........equation 1.

3y - 3 = 3x       .........equation 2.

From equation 2, we have the following:

y - 1 = x       .........equation 3.

By substituting equation 3 into equation 1, we have:

4(y - 1) - 2 = 3y - 1

4y - 4 - 2 = 3y - 1

4y - 3y = 6 - 1

y = 5.

For the value of x, we have:

x = y - 1

x = 5 - 1

x = 4

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Complete Question:

Find values of x and y for which ABCD must be a parallelogram.

Answer:

8

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   6 .

     -16    +    1    =    -15

     -8    +    2    =    -6

     -4    +    4    =    0

     -2    +    8    =    6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  8

                    p2 - 2p + 8p - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-2)

             Add up the last 2 terms, pulling out common factors :

                   8 • (p-2)

Step-5 : Add up the four terms of step 4 :

                   (p+8)  •  (p-2)

            Which is the desired factorization

Answer:

p = 8

Step-by-step explanation:

64 = 4(p+2) + 24

64 = 4p + 8 + 24

64 = 4p + 32

32 = 4p

I substracted 32 from 64, and 32 deletes him self

8

I divided 32 by 4, and the 4p deletes himself

p = 8

Using proportions, it is found that the value of the total sum that was shared was of $45.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the rates, Anne's and Kerisha's proportions, out of the total value N, are given by:

The difference is of $15, hence:

\(A - K = 15\)

\(\frac{7N}{12} - \frac{3N}{12} = 15\)

\(\frac{4N}{12} = 15\)

\(\frac{N}{3} = 15\)

N = 15 x 3 = 45

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Answer:

I think 53.334 ounces were added to dilute the lemonade

Answer:

Hi there,

$294 per year = $24.50 per month

Kim paid $24.50 + $3.50 = $28 per

month with her old phone plan.

Hope this helps :-)

Step-by-step explanation:

Based on the number of people in the group of visitors to the zoo, the way that the average compares to the median is that the average is the same as the median.

The given dataset for the number of people in a group of visitors according to Julia's data is:

2, 2, 3, 4, 6, 8, 8

The median for this data set is the middle value of 4.

This is the same as the mean:

= (2 + 2 + 3 + 4 + 6 + 8 + 8) / 7

= 4

So, the mean and the median are the same.

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Answer:

Hi! You just have to take his salary as a unity (one) and substract the fractions you are given. For example; lets say you have a cake (one) and then you eat 1/8 of it. You would be left with  \(1-\frac{1}8}\) of the original cake.

Step-by-step explanation:

Salary:     \(1\)

Spent \(\frac{2}{5}\) :     \(1-\frac{2}{5}\)

Spent \(\frac{1}{4}\):      \(1-\frac{2}{5} -\frac{1}{4}\)

Spent \(\frac{1}{8}\):      \(1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}\)

REMAINING: \(1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}\)

Operate using LCM:  \(\frac{40-16-10-5}{40} = \frac{9}{40}\)

The answer is (d)

Answer:

A

Step-by-step explanation:

Linear equation involves two variables with the power of 1. B is quadratic equation

C and D are not even equations

The difference of the polynomials (8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4) simplifies to 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6.

To find the difference of the given polynomials, we subtract the second polynomial from the first polynomial term by term.

(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)

Removing the parentheses and combining like terms, we get:

8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6

Therefore, the difference of the polynomials is 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6. This is the simplified form of the polynomial expression obtained by subtracting the second polynomial from the first polynomial.

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Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

Answer:

a. 4×d=24

Step-by-step explanation:

Since it is asking for the number of dogs and each dog has 4 legs, you multiply

And dogs is (d), so a

Answer:

that's the lowest term actually

Answer:

4894-

Step-by-step explanation:

dsfghbsvacfvgb VSCDFVRGb vzxVfd xvf cdv

The results of the two-sided significance test will be at alpha-0.10

What is confidence interval or limit?

The 90% of Confidence interval has

                  ∝ = 1 - 0.90

                      = 0.10

        at alpha = 0.10

That if the test two is failed then confidence interval and hypothesis test gives the same results.

Hence ,The results of the two-sided significance test will be at alpha-0.10

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Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

Using trigonometric functions, Mr. Patterson is standing approximately 68.2 feet away from the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the lengths of its sides. There are 6 trigonometric functions and those are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Now,

We can use trigonometry to find the distance between Mr. Patterson and the tree. Let's call this distance "x".

In a right triangle with the tree as the hypotenuse, the opposite side is the height of the tree (300 feet), and the angle opposite the opposite side is 75 degrees. Therefore, we can use the tangent function to find the adjacent side, which is the distance Mr. Patterson is standing from the tree:

tan(75°) = opposite / adjacent

tan(75°) = 300 / x

x = 300 / tan(75°)

x ≈ 68.2

Therefore, Mr. Patterson is standing approximately 68.2 feet away from the tree.

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The equation of the new function is g(x) = 4(2ˣ)

The exponential equation is given as

f(x) = 2ˣ

Then, we have the transformation to be:

Vertically stretch by a scale factor of 4

The scale factor can be represented as k

So, we have

k = 4

The rule of vertical stretch by a scale factor of k is represented a

g(x) = kf(x)

So, we have

g(x) = 4 * 2ˣ

This gives

g(x) = 4(2ˣ)

Hence, the equation is g(x) = 4(2ˣ)

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Answer:

Step-by-step explanation o:

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Answer:

Snake who just put on a pair of socks.

Step-by-step explanation:

It looks like you're just missing two letters, p and s.

I hope this helped :)