what is the slope of the line

Answer:

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

The kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Step-by-step explanation:

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Let us represent

Kilograms of first chocolate = x

Kilograms of second chocolate = y

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate.

Hence:

40% × x + 50% × y = 41% × 100

0.40x + 0.50y = 0.41× 100

0.40x + 0.50y = 41.......Equation 1

x + y = 100kg ......Equation 2

x = 100 - y

Substitute 100 - y for x

0.40(100 - y) + 0.50y = 41

40 - 0.40y + 0.50y = 41

Collect like terms

- 0.40y + 0.50y = 41 - 40

0.10y = 1

y = 1/0.1

y = 10.

Therefore, the kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Remember:

x = 100 - y

x = 100kg - 10kg

x = 90kg

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

Answer: 3x/6=4

Step-by-step explanation:

3x/6 = 4

multiply 6 on both sides to remove fraction.

3x=24

x=8

Answer:

Less than

Step-by-step explanation:

One quart is .25 of a gallon

Answer:

you mean

2x-8y=12

8y=2x-12

y=(1/4)x-(3/2)

so intercept is-3/2

Answer: x = 10

Step-by-step explanation: hope this helps

Answer:

475.019

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

C. d = C/pi

Step-by-step explanation:

lol nothing really to explain but it's saying diameter equals circumference divided by pi

Hope this helps dude !

Answer:

Step-by-step explanation:

pitch=4/12=1/3

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

Half-life is the time interval that is needed to decay the atomic nuclei of a radioactive sample.

A sample contains 16.75 g of the radioisotope U-236 and 50.25 g of its daughter isotope, Th-232.

Initially, the whole sample is consisting the radioisotope. Then the initial total mass will be

m₀ = 16.75 + 50.25

m₀ = 67 g

Now we also know that the half-life is 23 million years. Then we have

[tex]m = m_oe^{- \lambda t}[/tex]

Then put the value

[tex]\begin{aligned} 16.75 &= 67 e^{- \lambda t}\\\\0.254 &= e^{- \lambda t}\\\\\lambda t &= 1.37\\\\\dfrac{ln2}{23 \rm \ million \ years } \times t &= 1.37\\\\t &= 45.5 \ \rm million\ years \end{aligned}[/tex]

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

More about the half-life link is given below.

https://brainly.com/question/24710827

Answer:

a. 46 million years

Step-by-step explanation:

Answer:

150 m²

Step-by-step explanation:

Given 1 cm represents 5 m

⟹1 cm=5 m

given area =6 cm² =6×(5 m)²  =6×25 m²

=150 m²

area of 6 cm² represents 150 m²

Answer:

As Per Provided Information

We have been asked to determine the volume of triangular Prism . Volume of Triangular Prism is calculated by using the following formula

[tex] \bf \: Volume_{(Triangular~Prism)} = \cfrac{1}{2} \times b \: \times h \times l [/tex]

Substitute the given value and let's calculate the volume of cabinet .

[tex] \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \cfrac{1}{2} \times 14 \times 22 \times 67.5 \: \: \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \frac{1}{ \cancel2} \times \cancel14 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 7 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \: 154 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 10395 {cm}^{3} [/tex]

Therefore,

Answer:

2x+8

Step-by-step explanation:

Since the two lines are crossing each other, angles on one side should be equal to the angle directly opposite them.

Answer:

1+b/a

Step-by-step explanation:

To find the amount of a/b we have to solve the equation

(a+b)/a

a/a+b/a

a/a is one so

1+b/a

Answer:

Step-by-step explanation:

B

A

A

5.76 KG as 180 x 0.032 (3.2 percent) = 5.76

Answer:

Step-by-step explanation:

a total of 360 tickets were sold for the school play. they were either adults tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

Answer by chibabykalu1 (Show Source): You can put this solution on YOUR website!

x, =student tickets

y, =adult tickets

-----

exact translation of the description into a system of equations. Solve for the value of y.

The process can be, solve for x in terms of y, already seen as THE second equation of the system; substitute into the other equation, and solve the result for y, and compute.

Substitute y = 120 into equation 2

Answer:

The baby's rectangular room is 14 feet long and 12 feet wide

Step-by-step explanation:

Assume we set:

x=width of the room

y=length of the room

The width of the room is 2 feet less than the length:

[tex]x=y-2\qquad\qquad [1][/tex]

The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:

P=2x+2y

And the perimeter is equal to 52 feet:

2x+2y=52

Dividing by 2:

[tex]x+y=26\qquad\qquad [2][/tex]

Substituting x from [1]:

y-2+y=26

Simplifying:

2y-2=26

Adding 2:

2y=28

Solving:

y=28/2=14

y=14

Find x:

x=y-2=14-2=12

The baby's rectangular room is 14 feet long and 12 feet wide

Answer:

226.2 in³ and 452.4 in³

Step-by-step explanation:

Volume of original shape:

Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³

Volume with same radius but double the height:

Volume = base area x height
Volume =  πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³

Answer:

[tex]x+7; x+5; 27; 25[/tex]

Step-by-step explanation:

First of all, we need to write [tex]x^2+12x+35[/tex] as a product. The easiest way is to find a pair of numbers whose product is 35 and sum is 12. Looking at the product, you notice it's 7 and 5, which added together indeed give 12.

The two side length are thus [tex]x+7[/tex] and [tex]x+5[/tex].

In the specific case, when [tex]x=20[/tex] the two sides measures 27 and 25.

The total amount of money the server would have saved after 5 weeks is  $455.

The first step is to determine the total amount of money saved for the first four weeks.

Total amount of money saved in the first four weeks = 35% x (200 x 4) = $280

Amount saved on the 5th week = 7/8 x $200 = $175

Total savings = $175 + $280 = $455

To learn more about fractions, please check: https://brainly.com/question/1301963

Answer:

465

Step-by-step explanation:

I just did it

The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

The amount of personal loan = $4500

Monthly payment =$173

Loan tenure = 36 months

The total amount that Rachel will pay for 36 months = 36*173.06

The total amount that Rachel will pay for 36 months = $6230.16

A finance charge refers to any cost related to borrowing money, obtaining credit, or paying off loan obligations.

The finance charge on Rachel's loan if she takes all 36 months to pay it off  = The total amount that Rachel will pay till 36 months - Amount of personal loan

The finance charge on Rachel's loan = 6230.16-4500 = $1730.16

Therefore, The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

To get more about monthly payments visit:

https://brainly.com/question/2151013

Answer:

ok 12 is 12 1 is 1 2 is 2 and three is treee

Answer:

f(2.5) = 16.5

Step-by-step explanation:

To evaluate f(2.5), substitute x = 2.5 into f(x) , that is

f(2.5) = 6(2.5) + 1.5 = 15 + 1.5 = 16.5

Answer:

50.7016

Step-by-step explanation:

1.Area of rhombus is l^2

area of rhombus=1/2*d1*d2

Answer:

the answer is C.25.2

Step-by-step explanation:

i took the quiz and got it right.

Answer:

Step-by-step explanation:

The missing factor has the form (x - a).  The given factor is (x - 7).  The product (a)(-7) must be -42, and therefore the missing factor is (x + 6)

Answer:

Your answer is B, the second one.

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

Supplementary angles sum to 180° , then

2x + 10 + 3x + 20 = 180 , that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30