The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Water (cups) 2 5 3 7.5 5 12.5 8 20 Which statements apply to the ratio of rice and water? The amount of rice is the dependent value. The amount of water is the dependent value. The amount of rice is the independent value. The amount of water is the independent value. The values cannot be labeled as dependent or independent without a given equation. The values cannot be labeled as dependent or independent since any amount can be selected for either.

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, [tex]time=\frac{distance}{speed}[/tex]

So, time for running= [tex]\frac{8}{x}[/tex]

And time for riding= [tex]\frac{11}{x+9}[/tex]

Equation becomes:

[tex]\frac{8}{x}+\frac{11}{x+9}=1.5[/tex]

Now, multiply every term by 2x(x+9) to clear denominators:  

[tex]16(x+9)+22x=3x(x+9)[/tex]

Simplifying it we get

[tex]3x^{2}-11x-144=0[/tex]

Solve the quadratic equation using formula

[tex]x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}[/tex]

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=[tex]\frac{-16}{3}[/tex]

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

We can set up a time equation for both running and cycling, which then we add together and set to equal the given total time. Solving this equation reveals Jean's running speed to be approximately 6 mph and cycling speed to be 15 mph.

Given the scenario, we can set up two equations for time. The first equation is time equals distance divided by speed. For running, we have time = 8 mi / speed. For cycling, time = 11 mi / (speed + 9 mph), since her speed on bike is 9 mph faster than her running speed.

The total time spent for both running and cycling is given as 1.5 hours. Therefore, adding the two time equations we have: 8/speed + 11/(speed + 9) = 1.5.

Solving this equation will give us the value of her running speed. Through algebraic calculations, we get that her running speed is about 6 mph. And consequently, her cycling speed is 6 mph + 9 mph = 15 mph.

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12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

Hope you have a good day!!! Cant wait until friday lol

She spent 17.28$, all you have to do is 12.8 x 1.35 = 17.28, hope this helps :D

length times width............

Answer:

The answer is 4) A unit rate always relates quantities with the same units.

Step-by-step explanation:

It cannot be 1 because a unit rate relates a quantity to 1. Hence the word unit which means single or undivided whole.

It cannot be 2 because you can indeed use unit rates to compare two rates. In fact we do all the time in math! Just like comparing fractions.

It cannot be 3 because the rate has to be equivalent to its unit rate or else its wrong.

Thus making it four!

Hope this helped! If it did please consider marking this as brainliest! :)

Option D is not true about unit rates.

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To answer this question, we know that 1km equals 1000m

and 1 hour is equal to 60 minutes. In the same way 1 minute equals 60 sec onds

So we have to change the units of elephant speed to km per hour.

For this we do the following procedure:

1) we multiply 6.9 m / s by the conversion factor from meters to kilometers (1 km / 1000m)

[tex]6.9 \frac{m}{s} *\frac{1 km}{1000 m}=0.0069\frac{km}{s} \\[/tex]

2) The result obtained is multiplied by the conversion factor from seconds to minutes (60s / 1min)

[tex]0.0069 \frac{km}{s} *\frac{60 s}{1 min}=0.414 \frac{km}{min}\\[/tex]

3) The result obtained is multiplied by the conversion factor from minutes to hours (60min / 1hr)

[tex]0.414\frac{km}{min}*\frac{60 min}{1 h}= 24.84\frac{km}{h} \\[/tex]

The answer is 24.84 km / h

 You can skip step 2) multiplying 0.0069 km / s by the conversion factor from seconds to hours (3600 s / 1h)

I believe the correct answer is D. Since the graph of the parabola has a domain for x < 4, and the line presents a domain for x > = 4, then the only option with these conditions is D!

Hope this helps! :)

To expand and simplify the expression (3x-1)(2x+5), use the distributive property of multiplication over addition/subtraction. Multiply each term in the first parentheses with each term in the second parentheses, and then combine like terms to simplify the expression. The result is 6x^2 + 13x - 5.

To expand and simplify the expression (3x-1)(2x+5), you can use the distributive property of multiplication over addition/subtraction. Start by multiplying the first term in the first parentheses with each term in the second parentheses, and then do the same for the second term in the first parentheses. Finally, combine like terms to simplify the expression.

Step-by-step:

Therefore, the expanded and simplified form of (3x-1)(2x+5) is 6x^2 + 13x - 5.

Based on the cost of $2 per goldfish, the total price for 7 goldfish would be $14, not $13 as Adrianna claimed.

Adrianna's claim that it costs $13 for 7 goldfish does not seem correct given your statement that goldfish are $2 each. If each goldfish costs $2, then for 7 goldfish, the cost would be $2 x 7 = $14, not $13. It's important to recognize that the cost per goldfish can greatly influence the total cost when purchasing multiple goldfish.

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(a)

we are given

length of rectangle is 3cm

[tex]L=3cm[/tex]

width of rectangle is 4cm

[tex]W=4cm[/tex]

now, we can use area formula

[tex]A=L\times W[/tex]

we can plug values

[tex]A=4\times 3[/tex]

[tex]A=12 cm^2[/tex]

Let's assume side of square is 'a'

[tex]A=a^2[/tex]

we can set them equal

and then we can solve for a

[tex]a^2=12[/tex]

[tex]a=3.464cm[/tex]..........Answer

(b)

we are given

length of cuboid is 2cm

so, [tex]L=2cm[/tex]

width of cuboid is 4cm

so, [tex]W=4cm[/tex]

height of cuboid is 5cm

so, [tex]H=5cm[/tex]

now, we can find volume

[tex]V=L\times W\times H[/tex]

now, we can plug values

[tex]V=2\times 4\times 5[/tex]

[tex]V=40cm^3[/tex]

Let's assume edge of cube is 'a'

so, volume is

[tex]V=a^3[/tex]

now, we can set them equal

and then we can solve for a

[tex]a^3=40[/tex]

[tex]a=3.420cm[/tex]...........Answer

To solve the equation 3a–(10+5a)=54, distribute the negative sign, combine like terms, isolate a, and then divide by -2, resulting in a = -32.

To solve the equation 3a–(10+5a)=54, follow these steps:

Therefore, the solution to the equation is a = -32.

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If the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, then that means that it is 1/2 of 24.

24 divided by 2 = 12

He spent $12 on a movie ticket.

Hope I helped!

Good Luck!

⛈

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The cost of the movie ticket is $16.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount spend = $24.

Cost of the movie ticket = m

Cost of popcorn and soft drinks = 1/2 x m = $(m/2)

Now,

The cost of the movie.

Cost of popcorn + Cost of soft drinks + Cost of the movie = $24

m/2 + m = 24

(m + 2m) / 2 = 24

3m/2 = 24

3m = 24 x 2

m = 8 x 2

m = $16

Thus,

The cost of the movie ticket is $16.

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Answer:

Diameter of circle while measuring vertically=3.5 cm

Diameter of circle while measuring Horizontally=3.6 cm

As you have not written by which instrument from geometry box you have measured the length of diameter.

1. By Scale i.e ruler 2. By Divider  Or 3. By mere Observation i.e by comparing length

1.If you have done measurement by simply observation there are maximum possibility of having error.  

2. Then if you have measured these lengths by scale or ruler there is very less chances of getting error in measurement of length because sometimes divison in scale varies i.e if a point lies between 4.5 to 4.6 we can't say exactly whether it is 4.5 or 4.6.

3. So it is better to compare line segments by Divider.There is no chances of getting error.

Most probably you have measured Diameter by ruler, Due to that you have faced the problem.  

Answer:

The possible reasons are shown below:

Step-by-step explanation:

Consider the provided information.

lin measured the diameter of a circle in two different directions. Measuring vertically, she got 3.5 cm, and measuring horizontally, she got 3.6 cm.

The diameters of a circle should have the same length, If the length are not same then the reasons can be:

x+9=18+-2x

divide 2x from both sides

which makes it 3x+9=18

subtract 9 from the 18

which is 3x=9

divide 3 from both sides

which gives you x=3

x+9=18+(-2x) add the 2x to the x and you should get 3x+9=18. Then you would subtract the 9 from the 18 and should get 3x=9. Then just divide the 9 by the 3 and get x=3 which is your answer. Hope this helps!

Product is multiplication.

Let the number = x

3 *( X+7) = -36

Use distributive property:

3x +21 = -36

Subtract 21 from each side:

3x = -57

Divide both sides by 3:

x = -57 /3

x = -19

Check: 3 * (-19 +7) = 3 * -12 = -36

The number is -19

 (x - 4)(x - 3) + (2 - x)(x - 1)

= x² - 3x - 4x + 12 + 2x - 2 - x² + x

= x² - x²     -3x - 4x + 2x + x     +12 - 2  

=     0                   -4x                    +10

Answer: -4x + 10

Multiply the original price by .25, then subtract that answer from the original price.

Hope I could help! :)

the answer is a add -19w and dont forget to do it on each side

You should put brainliest to the other person that answered this question.

The answer is -8.4 degrees

Answer:

The Answer is -8.4 degrees

Step-by-step explanation:

Since They said that the temperature decreased, that means there is a negative in front of 5.4.  -5.4+ -3= -8.4

The answer would be -30.75 hope this helps !!

given 4y = 2x - 10 and y = 6, then

2x - 10 = 24 ( add 10 to both sides )

2x = 34 ( divide both sides by 2 )

x = [tex]\frac{34}{2}[/tex] = 17

Correct answer is option(2).

Isaac can add the ordered pair (1, 3) to the set to keep it a function.

A function is a relation where each input (or domain element) is associated with exactly one output (or range element).

This means that in the set of ordered pairs representing a function, no two pairs can have the same first element (input) but different second elements (outputs).

Given the function defined as : {(0,1),(2,3),(5,8),(7,2)},

we need to add one more ordered pair without violating the property that each input maps to exactly one output.

Let's examine each option:

1.) (0, 2) : This pair has the same first element as (0, 1). Adding (0, 2) would imply that the input 0 maps to both 1 and 2, which is not allowed in a function because each input must map to exactly one output.

2.) (1, 3) : This pair has a first element of 1, which is not present in the original set of ordered pairs. Therefore, adding (1, 3) does not create any conflicts. The input 1 is not repeated, so each input still maps to exactly one output. This maintains the function property.

3.) (5, 3) : This pair has the same first element as (5, 8). Adding (5, 3) would imply that the input 5 maps to both 8 and 3, which violates the definition of a function.

4.) (7, 0) : This pair has the same first element as (7, 2). Adding (7, 0) would imply that the input 7 maps to both 2 and 0, which also violates the definition of a function.

Therfore , Only the pair (1,3) can be added to the set without violating the function property. This pair introduces a new input that does not conflict with the existing inputs in the set.

Final answer:

The statement that the sum of two linear expressions is always a linear expression is correct, due to properties such as additivity and commutativity. Adding like terms and constants of two linear expressions together will yield another linear expression. This principle applies to linear equations and functions as well.

Explanation:

Your friend's assertion that the sum of two linear expressions is always a linear expression is correct. A linear expression is generally of the form αx + β, where α and β are constants and x is the variable. When adding two linear expressions, say αx + β and γx + δ, the result is (α+γ)x + (β+δ), which is also a linear expression. This is due to the additive property, which states that like terms can be added and constants can be added separately. Also, considering the commutative property of addition, which implies A+B = B+A, we can see that the order of addition does not affect the linearity of the expression.

Examples or specific cases also illustrate this concept. For instance, if one linear expression is 3x + 2 and the other is 5x + 4, adding them together yields (3+5)x + (2+4), which simplifies to 8x + 6, clearly a linear expression. The linear nature of the sum is further illuminated by considering functions or equations that involve only constants. If one function equals a constant and another equals a constant, their sum is also constant, preserving linearity.

In the context of linear differential equations, the principle that linear combinations of solutions are also solutions applies. This means that if we have two functions that are solutions to a linear differential equation, their sum (a linear combination) will also be a solution to the same linear differential equation. This indicates that linearity is preserved when combining linear items, whether they are expressions, functions, or equations.

Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla 3. only has enough materials to make 40 necklaces. (A) write two constraints to model the problem. Let x represent the number of lawns Jordan mows and y represent the number of necklaces Sharla sells. (B) can Sharla afford the down payment with the money she earns selling her necklaces? Explain your answer    

this is the wrong subject

A) 25x+15y=650

25x+15(40)=650

Or it could be 25x=650 and 15y=650

B) No because she makes $15 for every necklace which she only has 40 necklaces 15x40=600

No equation is given .

This is fast and easy, hope this helps :)

The quotient of 4 divided by 28 is 0.142857.

To perform long division for 4 divided by 28, follow these steps:

1. Write 4 as the dividend and 28 as the divisor.

        ___

28 | 4

2. Determine how many times 28 can be divided into 4 without exceeding it. In this case, 28 cannot be divided into 4, so we write 0 above the division line.

        0

        ___

28 | 4

3. Multiply the divisor (28) by the quotient (0), and write the product below the dividend.

        0

        ___

28 | 4

        0

4. Subtract the product from the dividend. In this case, 4 minus 0 is 4.

        0

        ___

28 | 4

        0

       ----

        4

5. Bring down the next digit from the dividend, which is 0.

        0

        ___

28 | 4

        0

       ----

        40

6. In this case, 28 can be divided into 40 once, so we write 1 above the division line.

        01

        ___

28 | 4

        0

       ----

        40

7. Multiply the divisor (28) by the quotient (1), and write the product below the 40.

        01

        ___

28 | 4

        0

       ----

        40

       28

8. Subtract the product (28) from the 40.

        01

        ___

28 | 4

        0

       ----

        40

       28

       ----

        12

9. The final quotient is 0.142857.

Therefore, 4 divided by 28 equals 0.142857.

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