Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Skill plans
At a candy store, Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38. Meanwhile, Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45. How much does the candy cost?
A kilogram of jelly beans costs $
and a kilogram of gummy worms costs $

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] x - 5 < 11 ( multiply through by 3 to clear the fraction )

2x - 15 < 33 ← equivalent inequality

to solve add 15 to both sides

2x < 48 ( divide both sides by 2 )

x < 24

Answer:

9 i think

Step-by-step explanation:

The probability 11.1% of domestic airfares within the United States are $250 or less.

The formula for the z score is -

z = (x - μ)/σ

In which,

Substitute the value in formula.

P(x ≤ 250) = (250 - 385)/100

P(x ≤ 250) = -1.22

Select the p value from negative z score table;

P(x ≤ 250) = 0.111

P(x ≤ 250) = 11.1%

Thus, 11.1% of domestic flights within the United States are $250 or less.

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Answer:

15 minutes

Step-by-step explanation:

The 3/4 of an hour is,

→ 60 × (3/4)

→ 180/4 = 45

Now required time spend on rope is,

→ 45 × (1/3)

→ 45/3 = 15 minutes

Hence, he had spend 15 minutes.

The function (g∘f)(x) expressed as a polynomial in standard form is  9x² - 36x + 40

A function can be defined as an equation, a rule or a law that shows or rather explain the relationship between two variables in an equation.

The variables are known as;

We have the function given;

To determine the composite function (g ∘f)(x), we have to substitute the value of x as fx) in the function g(x), we have;

(g∘f)(x) = (- 3x + 5)² + 2( -3x + 5) + 5

expand the bracket

(g∘f)(x) = 9x² - 15x - 15x + 25 - 6x + 10 + 5

Now, collect like terms, we get;

(g∘f)(x) = 9x² - 15x - 15x - 6x + 25 + 10 + 5

Add or subtract the like terms, we get;

(g∘f)(x) = 9x² - 36x + 40

The polynomial is written as;  9x² - 36x + 40

Hence, the value is  9x² - 36x + 40

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Answer:

9x3

Step-by-step explanation:

x+9

/4

9x=8

x=2

+2=4

x=1+4234

Answer:

Olumide will practice 40 minutes of playing the piano

Step-by-step explanation:

Olumide practices piano and guitar in the ratio of 5:8

64 minutes of guitar playing means that Olumide has had 8 individual practicing sessions of guitar (64 / 8 = 8), so he has also had 8 practicing sessions of piano.

5 x 8 = 40 minutes of piano practice

Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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Answer:

g(10) = -12

Step-by-step explanation:

Mean Value Theorem

If f is continuous on [a, b] and differentiable on (a, b), then there is a number c  such that a < c < b and:

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

We are told that the function g(x) is continuous on the closed interval [8, 10] and differentiable on the open interval (8, 10).

Therefore:

Given:

As 8 < 8.5 < 10 then c = 8.5:

[tex]\begin{aligned} \implies g'(8.5)=\dfrac{g(10)-g(8)}{10-8}&=-9\\\\\dfrac{g(10)-6}{2}&=-9\\\\g(10)-6&=-18\\\\g(10)&=-12\end{aligned}[/tex]

The option that is a a linear equation is B. 4x - 2 = 20.

An equation is the statement that illustrates that 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

This is illustrated as 4x - 2 = 20

4x = 20 + 2

4x = 22

x = 22/4 = 5.5

This illustrates an equation.

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The interest rate on the account would be 0.4.

What is compound interest?

The interest earned on savings that is computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest

                  [tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

    A = amount,

    P = principal

     t = no. of years

     r = annual interest rate

     n = no of times compounded  in a year.

By putting the values in the equations we get,

                  [tex]5067=4890(1+\frac{r}{10} )^{8.3}\\[/tex]

Solving this, we get

                  [tex]r = 0.356[/tex]

Rounding off to the nearest tenth of a percent we get

                  [tex]r=0.4[/tex]

Hence, the interest rate on the account will be [tex]0.4[/tex].

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Answer:

8 feet

Step-by-step explanation:

there's 12 inches in 1 foot so 12 x 8 = 96

1. The length of RS is 5.

2. The length of JK is 6.

3. The length of RT is 4.

4. The perimeter of triangle JKL is 24.

What do you mean by right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

According to data in the diagram of the given question:

We have :

The ΔJKL, ΔRKS and ΔRTS are right-angle triangle.

The length of RK=3 and KS=4

We are using pythagoras theorem for determine the length of RS,

(RK)²+(KS)²=(RS)²

(3)²+(4)²=(RS)²

9+16=(RS)²

25=(RS)²

(5)²=(RS)²

RS=5

∴ The the length of RS is 5.

Now, we need to find the length of JK,

JK=2(RK)=2(3)=6

JK=6       [Because RK is midpoint of the side JK]

We have given value of KS=4 and the side KS is the opposite side of RT,

So, that's why the value of RT=4.

Now, we will find the perimeter of ΔJKL,

JK=6, KL=8 and we need to find the side JL,

(JK)²+(RL)²=(JL)²

(6)²+(8)²= (JL)²

36+64=(JL)²

100=(JL)²

(10)²=(JL)²

JL=10

The perimeter of the triangle ΔJKL,

Perimeter=6+8+10=24

Therefore, the perimeter of the triangle is 24.

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After solving the value of x in the equation is x [tex]=[/tex] -9  .

In the question ,

it is given that ,

the equation is 1/4(8x+12)  =  -15

Applying the associative property of multiplication ,

we get ,

8x/4 + 12/4 = -15

cancelling out the common factor 2 from numerator and denominator ,

we get ,

2x + 3 = -15

Subtracting the number 3 from both sides of the equation ,

we get ,

2x = -15 - 3

2x = -18

Dividing both sides of the equation above by the number 2 ,

we get ,

x = -18/2

x = -9

Therefore , After solving the value of x in the equation is x [tex]=[/tex] -9  .

The given question is incomplete , the complete question is

Solve the given equation for x ?

1/4(8x+12)= -15  

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The true statement about the sentence 'sample of gas is enclosed in a container of fixed volume' are:

When a sample of gas is been enclosed in a container of fixed volume then then if the container temperature is been reduced then the kinetic energy of the gas will reduce.

Therefore the first and the third option are correct.

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Answer:

f(5) = -5

Step-by-step explanation:

To find the value of f(5), find the value of y when x = 5.

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line.

Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

Therefore, the value of f(5) is -5.

See attachment.

Answer:

Step-by-step explanation:

Given the graph of the function f(x).

In order to find the value of f for any value of x on the graph, find the point x on the x-axis, then add a vertical line from this point to the graph. The y-coordinate of the intersection is the value of the function at given x-coordinate.

We are asked to find the value of f(5).

This is f(5) = - 5 as per above explanation.

See the attached for better understanding.

Answer:

(- 25, 5 )

Step-by-step explanation:

- 3x - 6y = 45 → (1)

- 5y = x → (2)

substitute x = - 5y into (1)

- 3(- 5y) - 6y = 45

15y - 6y = 45

9y = 45 ( divide both sides by 9 )

y = 5

substitute y = 5 into (2)

- 5(5) = x , then

x = - 25

solution is (- 25, 5 )

The probability that Rupert picked 2 green balls is 1/21.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. It's value ranges from 0 to 1.  

Main Body:

total balls = 7  , green balls =2

1st try:  

probability of getting green ball = 2/7

As there is no replacement so now,

total balls = 6  , green balls = 1

2nd try:  

probability of getting green ball = 1/6

total probability = (2/7)*(1/6)

                          = 1/21

Hence the answer is 1/21.

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The equation's graph is a straight line: y= 3/4x - 1/2.

acc to our question-

There are an endless number of solutions to a linear equation with two variables, and we can obtain each one as a pair of numbers.

Draw the two-variable linear equation's graph by plotting these values on a coordinate plane.

Using the slope and y-intercept is the simplest approach to graph something in slope-intercept form because that information is already available.

Follow all of the instructions listed below to plot the equation's graph.

Step 1: When x = 0, the y-intercept is 0, and y would then equal -1/2. (0, -1/2) are the points.

Step 2: Since the slope is 3/4 rise over run, go three up (rise) and four across (run).

Step 3: The slope of the line is upward since the slope in the  equation, not negative.

Step4; There are two points, draw a line connecting the two points.

hence,The equation's graph is a straight line: y= 3/4x - 1/2.

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[tex]{ \green{ \sf{G = \sqrt{ ab}}}}[/tex]

[tex]{ \green{ \sf{G = \sqrt{ (ab³)(a³b)}}}}[/tex]

[tex]{ \green{ \sf{G = \sqrt{ a⁴b⁴}}}}[/tex]

[tex]{ \red{ \boxed{ \pink{ \sf{G = \sqrt{ a².b²}}}}}}[/tex]

For Maia's birthday celebration, the bare minimum amount of packets of plates, napkins, and cups she needs to purchase is 15, 12, and 10, respectively.

acc to our question-

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Answer:

x + 3 = 18

Step-by-step explanation:

original number of kids: x

additional kids: 3

new total number of kids: x + 3

actual total number of kids: 18

Equation: x + 3 = 18

Yes, you are safe to land, If the landing angle at an airport is 4° and you are two miles out and ½ mile high.

The final approach, also known as the final leg or final approach leg, is the last leg of an aircraft's approach to landing in aviation. During this leg, the aircraft is aligned with the runway and descending for a landing. In aircraft radio lingo, it is frequently abbreviated to "final".

Given,

If the landing angle at an airport is 4° and you are two miles out and ½ mile high,

Yes, you are safe to land.

A normal airport landing pattern calls for aircraft to turn from the base leg to the final within 0.5 to 2 miles of the airport when visual meteorological conditions (VMC) are present. A "straight-in" final approach, when all other legs are skipped, is frequently employed for instrument approaches as well as VFR approaches onto controlled airfields. At American non-towered airports, straight-in approaches are discouraged.

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After applying the distributive property, Ezra's expression was 8y + 16.

After he used the commutative property, his expression was 16 + 8y.

When using the distributive property, we are able to expand an expression with a bracket by multiplying the things in the bracket with the things outside:

8( y + 2)  becomes:

= (8 x y) + (8 x 2)

= 8y + 16

The commutative property on the other hand, means that when adding, the position of the number does not matter. For instance, a + b = b + a

When the commutative property is applied therefore, we get:
8y + 16 = 16 + 8y

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Answer:a. 24

b. 14

Step-by-step explanation:

a. 3ab=

3*a*b=

3*4*2=

12*2=24

b. a+5b=

a+5*b=

4+5*2=

4+10=14

Answer: a) 24

              b) 14

Step-by-step explanation:

step1: We have to substitute the numbers.

step2: Then finish the answer.

a) 3ab = 3 x 4 x 2 = 24

b) a+5b = 4 + 5 x 2 = 4 + 10 = 14

Answer:

87c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isabella,  do you know how to do the "elementary row operations"?

Also, when did they begin teaching  linear algebra in H.S.  :DDD  nice work getting there.

Gauss Jordan, just mean get your matrix in RREF  (Reduced Row Echelon Form)

I suggest using Matlab to do this.  it's got the  "RREF(x)  function to do this exact thing.  

Your teacher probably wants you to do this by hand.  thou, huh.  :/  

here is my Matlab code and the answer

clc

close all

clear

format compact

A=[3 -4 2;0 -1 7]

mymatx=rref(A)

A =

    3    -4     2

    0    -1     7

mymatx =

   1.0000         0   -8.6667

        0    1.0000   -7.0000

Yes, maybe it's totally cheating, but it seems fair nowadays to use technology that is commonly available.    :)

So answer A) looks right

T-test paired two samples for means should be used .

What does test score mean?

here the samples are dependent, the score of one twins is compared with the score of any another from the same pair .

Hence, T-test paired two samples for means should be used

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Answer:

mary=x

andrew=8

jim=2*8=16

together=4*mary

total=8+16=24

24/4=x

x=6

Step-by-step explanation: