Kelly made fruit punch to serve at a party for her chess team. She mixed 1
2/5liters of cranberry juice and 1 3/5 liter of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?

Money market accounts allow for the creation of savings for current or upcoming requirements.

Savings for immediate or future needs can be made in money market accounts. To maintain your emergency savings in a convenient and secure location, for instance, you can think about opening a money market account. You desire to earn an APY similar to CDs without locking up your money for months.

You can get instant access to your money using money market accounts almost whenever you need it. A common feature of MMAs is the availability of check writing and debit card cash access. Also, be aware that you can often withdraw funds without being charged a fee, just like you could with a certificate of deposit (CD).

Therefore, the correct answer is option A. want to make numerous transactions and earn interest.

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The equation obtained from the expressions of the cost of using the daily and annual pass indicates that the least number of times to visit the zoo to make the annual pass the better deal is 4 times

An equation consists of two mathematical expressions linked with an equals to '=' sign.

The cost of the annual pass to the local zoo = $40.00

The daily pass to the zoo = $12.00

The least number of times to visit the annual pass to make it a better deal

Let x represent the number of times of visiting the zoo, at the first visit, we get;

Cost of visiting the zoo using the annual pass = $40.00

Cost of visiting the zoo using the daily pass = $12 ×1 = $12

Therefore, at the very first visit, it cost more using the annual pass to visit the zoo

When the cost of visiting the zoo is the same using the annual and the daily pass, we get;

Where x = The number of days of visiting the zoo

Therefore;

x = 40.00 ÷ 12.00 = 3.[tex]\overline{3}[/tex]

Therefore, after the third visit, or on the fourth visit, it becomes the better deal to make use of the annual pass.

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Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

The probability that we will draw 4 kings from the 52-card deck be 1/270725.

Given, we draw 4 cards from a standard 52-card deck

we have to find the probability that we draw 4 kings

As, we know that the deck of cards contain 4 kings of two red and two black.

we have to choose 4 kings from 4 kings in the deck

Number of ways to choose 4 kings from the deck of cards =  C(4 , 4)

Now, total number of ways in which 4 cards can be chosen be,

C(52 , 4)

So, the probability of drawing 4 kings from the deck of cards be,

P(E) = C(4 , 4)/C(52 , 4)

P(E) = 4×3×2 / 52×51×50×49

P(E) = 1 / 13×17×25×49

P(E) = 1/270725

Hence, the required probability be 1/270725

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A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

A z-score is the value of an observation expressed in standard deviation units. The sign of the score indicates whether it is above (positive) or below (negative) the mean, and the value quantifies how many standard deviations the score is from the mean.

The purpose of z-scores is to identify and describe the exact location of each score in a distribution & to standardize an entire distribution to understand & compare scores from different tests.

Z-scores or Z-statistics represent a statistical technique of measuring the deviation of data from the mean. There are different formula used for Z-score or Z-statistics depending upon what is measured. Z-statistics is generally used with Z-test which is a hypothesis testing statistical technique.

Therefore,

A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.

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Answer:

x^2 + y^2 = 400

Step-by-step explanation:

the general equation of a circle is,

x^2 +y^2 = r^2

where x, y are the coordinates of the circle

r is the radius

The time for each of them to cover 1 mile is; Evian = 10 min, Toby = 9 min and Jillian = 12 min. The fastest is Toby and No, Jillian can't make the team.

A unit rate means a rate for one of something.

Given that, Students at Polk Middle School are given a fitness test.

The fitness test result is;

Evian can run [tex]1\frac{1}{2}[/tex] miles in 15 minutes, Toby can run 2/3 miles in 6 minutes and Jillian can run 3/4 miles in 9 minutes

a) The rate of running in 1 mile = (total miles covered)/(total time taken)

Evian =

3/2 miles in 15 minutes

1 mile = 15x2/3

1 mile = 10 minutes

Toby =

2/3 mile in 6 minutes

1 mile = 6x3/2

1 mile = 9 minutes

Jillian =

3/4 miles in 9 minutes

1 mile = 9x4/3

1 mile = 12 minutes.

b) Since, Toby is covering 1 mile in the least minutes in comparison with other two, therefore Toby is fastest among them.

c) Jillian's rate = 1 mile in 12 minutes

Speed = 1/9 miles per minute

Therefore, she will cover 7/2 miles in = 12x7/2 = 42 minutes

That means, she can't make the team.

Hence, the answers are a) Evian = 10 min, b) Toby = 9 min and Jillian = 12 min, the fastest one is Toby and Jillian can't make the team.

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The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.

y = -8x^2 -64x + 264

If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:

y = a*(x - x₁)*(x - x₂)

Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:

y = a*(x + 11)*(x - 3)

We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:

192 = a*(1 + 11)*(1 - 3)

192 = a*12*-2

192 = -24*a

192/-24 = a

-8 = a

So the quadratic equation is:

y = -8*(x + 11)*(x - 3)

Expanding this, we will get:

y = -8x^2 -64x + 264

So the correct option is D.

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The function g(x) = (x - 5)² has a translation of 5 units to the right.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over x-axis, (-x, y).

-f(x) = Reflection over y-axis, (x, -y).

The parent function is a quadratic f(x) = x².

Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.

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Answer:

q= 1.09

Step-by-step explanation:

the works there its a little messy tho

Answer:

22

Step-by-step explanation:

Y is midpoint of WR.

Hence,

YR = 1÷2 of WR ( Half of WR )

So,

WR = 2YR

= 2×11

= 22

Answer:

y = 9

Step-by-step explanation:

The line that has a slope of 0: y = 0*x + ?

pass through the point (9,-4): 9 =0*(-4) + ?, we can get 9.

So the answer is y = 9.

Answer: y=0x-4

Step-by-step explanation:

y=mx+b

-4 = (0)(9)+b

b = -4

y = -4

Answer:

-m + 13

Step-by-step explanation:

The scale factor from B to A is 5/8. Since the scale-up and scale-down of A and B are reciprocal to each other. I.e, scaling of geometry can be reversed by the reciprocal of its scale factor.

The scale factor for the given shape to transform from A to B is 8/5.

So, the original shape is A and it is scaled up by the factor 8/5 and named B.

(Scaled up since scale factor (8/5 = 1.6) > 1)

So, the scaling from B to A is the reverse process of scale-up. That means scale-down. For this, the scale factor is reduced by taking its reciprocal. So, that the shape gets reversed.

The scale factor for scaling down from B to A is 1/(8/5) ⇒ 5/8.

Therefore, the scale factor from B to A is 5/8.

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Answer:

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

ΔABC and ΔXYZ are congruent triangles.

Corresponding angles map as per the order of vertices:

The congruent pairs of angles are:

This is matching option C.

Answer:

5/9 In fraction form. In decimal form 0.51 and in percentage form %51

Step-by-step explanation:

To find the ratio of the number of female runners to the total number of runners, we can divide the number of female runners by the total number of runners and express the result as a fraction. There are 25 female runners, and there are a total of 24 men + 25 women = 49 runners. Therefore, the ratio of the number of female runners to the total number of runners is 25/49. This fraction can be reduced to 5/9.

Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%

$540 plus 15% sales tax now.=$515

Pay exactly $120 now and then $58 each month for 9 months=$642

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The points where the inequality x+ 5y <-30 intercepts is ( 30, 0 ) and (0,6).

Here given the inequality.

x + 5y ≤ 30

To find the x-intercepts.

We have to substitute 0 for y and solve x to determine the x-intercepts.

x + 5 × 0 = 30

By solving the equation.

x = 30

( 30, 0 ) is the x-intercepts.

To find the y-intercepts.

By substituting 0 for x and solving y will get the y-intercept(s).

0 + 5y = 30

5y =30

y = 30/5

y = 6

In the point form, y-intercept.

Y-intercept(s): ( 0, 6 )

(30, 0) is the x-intercept.

Y-intercepts at : ( 0, 6 ).

The points in which the inequality x+ 5y <-30 intercepts is (30, 0) and (0,6).

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Answer: 27, 65, 29, 77, 37

Step-by-step explanation:

The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].

The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].

Answer:

Step-by-step explanation:

The statement which shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added include the following: C. 4x² - 13x + 9 will be a polynomial

In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would add the two (2) given polynomials as follows;

(4x² - 8x - 7) + (-5x + 16)

4x² - 8x - 7 - 5x + 16

Rearranging the given polynomials by combining like terms, we have;

4x² - 8x - 5x + 16 - 7

4x² - 13x + 9

Therefore,  the given polynomials are closed under addition.

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Complete Question:

Which of the following shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added?

a. 4x^2 - 13x + 9 may or may not be a polynomial

b. 4x^2 + 13x -23 may or may not be a polynomial

c. 4x^2 -13x + 9 will be a polynomial

d. 4x^2 + 13x - 23 will be a polynomial

The Yolanda's taxable income is $62,500.

What is income tax?

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate.

Given:

In 2008, Yolanda paid $3,875 in Social Security tax.

The Social Security tax rate was 6.2% to the maximum income of $94,200 that year.

Lets assume Yolanda´s income be `x`.

Now, calculating the taxable income of Yolanda

6.2% x (x) = 3875

[tex]\frac{6.2}{100} (x) = 3875\\x = 3875(\frac{100}{6.2}) \\x = 62500[/tex]

Hence, the Yolanda's taxable income is $62,500.

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Answer:

57.5 milkshakes

Step-by-step explanation:

To find the number of milkshakes the ice cream shoppe sold in one hour, you can use the given information to set up the following equation: 15/4 = 71.25/X. Solving for X, we get X = 71.25 * 4/15 = 57.5. Therefore, the ice cream shoppe sold 57.5 milkshakes in one hour.

19

Step-by-step explanation:

15/4= 3.75

71.25 / 3.75=19

Answer:

The last answer is correct

Step-by-step explanation:

3x = 24  Divide both sides by 3

x = 8

A pair of shoes cost $8

a. Using the graph, the estimated solution is: (-2, -0.6).

b. Solving algebraically, the exact solution is: (-2, -4/6).

The solution 0f a system of equations is that point of intersection where the lines of the two equations meet when they are plotted on a graph.

a. Given the graph of the equations, 2x - 3y = -2 and x + 1.5y = -3, the estimated solution, which is the point of the intersection of both lines can be, (-2, -0.5)

b. To get the exact solution, we would solve algebraically as shown below:

2x - 3y = -2 --> eqn. 1

x + 1.5y = -3 --> eqn. 2

Rewrite eqn. 2:

x = -3 - 1.5y --> eqn. 3

Substitute the value of x into eqn. 1:

2(-3 - 1.5y) - 3y = -2

-6 - 3y - 3y = -2

-6 - 6y = -2

-6y = -2 + 6

-6y = 4

y = 4/-6

y = -4/6

Substitute the value of y into eqn. 3:

x = -3 - 1.5(-4/6)

x = -3 + 1

x = -2.

The exact solution is (-2, -4/6).

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Answer:

ede 5 years old er = wife 25 Ed 34

Step-by-step explanation:

3x + 1 < 2x - 4

3x-2x <-4-1

x<-5

There are 12 different positive two digit integers can be formed using these digits if a digit can be repeated in an integer.

Integer:

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In mathematics languages, sets of integers are often denoted by a bold Z or a bold {Z}.

Given the question :

The number of different positive two integer number can be obtained by:

P(4, 2) = 4P2

We know that:

[tex]^nP_r[/tex] = n! / (n - r)!

⁴P₂ = 4! / (4 - 2)!

⁴P₂ = 4! / 2!

⁴P₂ = (4 * 3 * 2 * 1) / ( 2 * 1)

⁴P₂ = 24 / 2

⁴P₂ = 12

Hence, 12 different positive two-digit integers can be formed using these digits if a digit may not be repeated in an integer.

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The value of m in the equation is 30.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

It is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3 = 18, for instance.

In this case, the person must pay a $75 one-time fee plus a charge of $30 per month.

This will be illustrated in the equation as:

y = 75 + 30x

where

x = the time in months and

y = the total cost in dollars.

The value of m is 30.

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The salvage value of the PS 5 system after 6 years will be $640.

The formula for the depreciation;

Depreciation per year = (cost of asset - salvage value)/ (useful life of assets)

For the stated question-

12 = (712 - salvage value)/ (6)

salvage value = 712 - 12x6

salvage value = $640.

Thus, the salvage value of the PS 5 system after 6 years will be $640.

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