In a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9. If the bag has a total weight of 3 kilograms, how many kilograms of beans are there in the bag? (round to nearest thousandths)

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Answer:

1296m^2

Step-by-step explanation:

12m = 1cm per square

3 squares • 3 squares = 36 • 36 = 1296

Hope this helps! :)

Answer:

its a

Step-by-step explanation:

MARK AS BRAINLIST

Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

      (6t + 5) cm

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

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Answer:

To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.

Hope this helps :)

Step-by-step explanation:

If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.

I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.

Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.

Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.

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Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Answer:

The answer is (7.8046875)

Step-by-step explanation:

Hope this helped

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Answer:

X=30

Step-by-step explanation:

The answer is X=30

Answer:

0.8 cups

Step-by-step explanation:

Given that:

Numbe of cups of chocolate chips needed to the Number of dozens of cookies made can be represented using the ratio 4:5

Hence,

The proportion of cups of chocolate chips to the number of dozens of cookies = 4 / 5

4 cups of chocolate chips to 5 dozens of cookies ;

For 1 dozen of cookies, number of chocolate chips will be (x)

4 / 5 = x / 1

Cross multiply

4 * 1 = 5 * x

4 = 5x

x = 4/5 = 0.8

Hence, for 1 dozen of cookies, 0.8 cups of chocolate chips is required

9/10 or 0.9

mark me brainliest if you feel like mine was helpful!! I hope that helped!

Step-by-step explanation:

hope this helps, good night!!!!

Answer:1/5

Step-by-step explanation:

There is no solution for that problem....

Answer:

A: y=9-6x

B: y=6x+9

C: y=9-6x

Step-by-step explanation:

a) y=9-6x, standard form is ax+by=c so add 6x to both sides

b)  from the first, we had it in slope intercept form, mx+b where b is the y-intercept.  y=-6x+9

c)  The x intercept occurs when y=0 so: y=9-6x

x=1.5

Answer: yes

Step-by-step explanation:

The x value does not repeat itself

Answer:

19

Step-by-step explanation:

Firstly find BCE then divide by 2.

Answer:

Carina make an error because her solving problem, Carina should have subtracted 3.40 from 5.27.

Answer:

Carina should have subtracted 3.40 from 5.27

Step-by-step explanation:

i took the quiz, hope this helps<3

Answer: 42

Step-by-step explanation:

Did the test

Answer: less than

Step-by-step explanation:

Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

Answer:

I get 92 but not really sire

Answer:

I believe the answer is b=1/2(d-g)

Step-by-step explanation:

multiply to remove the variable from the denominator.

Answer:

just look up the answers on google

Step-by-step explanation:

Answer: Aaron is wrong. The first option is better as it costs less than the second option.

Step-by-step explanation:

Arron can join a gym for $19.99 per month plus an annual fee of $12.80.

Since Aaron wants to spend 10 months at the gym, this will cost him:

= $12.80 + ($19.99 × 10)

= $12.80 + $199.9

= $212.7

Paying $21.59 for 10 months will be:

= $21.59 × 10

= $215.9

The first option is better as it costs less than the second option.

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b