Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.​

Thus, the values corresponding to the function and constraints will be:

Objective Function:[tex]C=3.33X+2.00Y[/tex]

Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

We begin by defining the variables. Let call:

X = of servings of dried apricots

Y= of servings of dried dates

For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:

[tex]3.33X[/tex]

For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:

[tex]2.00Y[/tex]

The total cost would be:  

[tex]C=3.33X+2.00Y[/tex]

Product must contain at least 4700mg of potassium

[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.

Learn more: brainly.com/question/16173741

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

Answer:  1.323x10^-2  

Step-by-step explanation:

21*(6.3x10^-4) = 1.323x10^-2

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

Answer:

If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.

Step-by-step explanation:

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

Answer:

ans is i think a) $5.50

Step-by-step explanation:

'cuz if 5 boxes cost $27.50

so it will be

[tex]27.50 \div 5 \\ = 5.50[/tex]

Answer:

Hello!

After reading your question I have calculated the correct answer to be:

47.22

Step-by-step explanation:

The way I solved this equation was I first split the equation into two parts.

I took the two whole numbers, being "34" and "12", and made their own equation:

"34+12=?"

And then I took the two partial numbers "0.98" and "0.24" and made their own equation:

"0.98+0.24=?"

I then solved both equations:

"34+12= 46"

"0.98+0.24= 1.22"

And added those two solutions together to come up with the final solution:

"46+1.22= 47.22"

Hope this helped!

Answer:

47.22 is the answer

Step-by-step explanation:

hope it helps you

Answer:

Please mark as brainliest if you understood

Step-by-step explanation:

5 1/2

=11/2

=22/4

Therefore there are 22 quarters.

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

Answer:

−xy−y2+2y+30 is the answer simplified

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

x changes by -22 (from 19 to -3)

y changes by +13 (from -4 to 9)

the slope is +13/-22 = -13/22

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

Answer:

false

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.

2. (Solving)

Step 1: Cross-multiply.

Therefore, the number that makes the ratio equivalent is 35.

Answer:

1:5 & 7:35

Step-by-step explanation:

7 x 5 = 35

Answer:

the equations is y=x+3-1

Step-by-step explanation:

Answer:

x = 5, y = 3

Step-by-step explanation:

2x + 5y = 25

3x - 1y = 12

we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'

5(3x - 1y) = 12(5)

15x - 5y = 60

   2x + 5y = 25

+  15x - 5y = 60

17x = 85

x = 5

plug '5' in for 'x' to solve for 'y':

2(5) + 5y = 25

10 + 5y = 25

5y = 15

y = 3

Answer:

b

Step-by-step explanation:

Answer:

B. 39

Step-by-step explanation:

134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.

Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.

now we have the bottom right exterior angle, to find the interior 180-124=56.

Then we can set up the equation to find x:

56+46+2x=180

we have 180 because all triangles angle equal 180.

calculate the equation:

combine like terms, (2x)+(56+46)=180

2x+102=180

Subtract 102 from both sides,

180−102=78

2x=78

Divide both sides by 2.

78/2=39

x=39.

Answer:

10

Step-by-step explanation:

3/5 simpilfied is 0.6

So 6/0.6 = 10

Answer:

c

Step-by-step explanation:

Line EG bisects angle DEF

Answer:

answer choice is B

Step-by-step explanation:

Answer:

The top is the inches and the bottom is the cm.

Step-by-step explanation:

I might not be correct but I hope this works

Answer:

It should be 38.1

Hi there!

-7(11) is equivilent to -7*11 which equals -77.

Answer:

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.

Answer:

Hi :)

ELF magnetic fields measured 10 cm from the nozzles of hair dryers were elevated over the ambient by a mean factor of 17 when these devices were in use. Estimated mean daily times of usage of hair dryers, stereo headsets, and sewing machines were 2.6, 19, and 17 minutes, respectively.

Hope this helped :)