Show and explain your work below the problem.

Mr. Williams has a recipe for Rice Crispy treats that serves 30 people. He only needs to serve 20 people. How can he change each ingredient to make only 20 servings?

2 cups of melted butter
24 oz of marshmallows
12 cups of Rice Crispy cereal

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

Answer:

$2.5

Step-by-step explanation:

You divide 80 by 32 = 2.5

Hope this helps

Mark brainliest please

Answer:

2.50

Step-by-step explanation:

80/32

=2.50

divide 80 by 32 to get the cost per paintbrush

Answer:

Step-by-step explanation:

If we assume that the angle at A is 90 degrees.. which it does seem like it would be.  then use that the sum of the angles around the inside of a right triagle is 180 .   so  you have

180 = 37 + 90 + x

53° = x  

does that help?

Answer:

566 ft

Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

-16 * 4 + 600 + 30

-64 + 630 = 566 ft

Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Answer:

the second chaise is the answer

Answer:

hl

Step-by-step explanation:

hl is the hypotenuse and leg of a right triangle

Answer:

8x^6

Step-by-step explanation:

2x4+x=8x

^3+^3=^6

Answer:

Are u asking to graph a point(s)?

Step-by-step explanation:

Ok I have the answer

Answer:

16. -7x-14

17. -20+5y

18. -8b+8

19. -16c-12

20. 5w+40

21. -12x+6

22. 2z-4

23. -28p-28

24. -9t+54

25. Can't tell what this problem is.  The picture cuts out.

26. -27+21p

27. 9k-27

28. -7b+9

29. 30t+12

30. 7v-28

Step-by-step explanation:

Answer:

I believe it would be $52.29

Step-by-step explanation:

You put $45.00 with 15% in a percentage calcuator, (math w ay might work,) which gives you 6.75 and you put the tax of 8% in a tax calculator which gives you 7.29.

Then you just add $45.00 + 7.29 = $52.29!

Hope this helps lol

Answer:

The statement is true is for any [tex]n\in \mathbb{N}[/tex].

Step-by-step explanation:

First, we check the identity for [tex]n = 1[/tex]:

[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]

[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]

[tex]1 = 1[/tex]

The statement is true for [tex]n = 1[/tex].

Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:

[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]

[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]

[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]

Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].

Answer:

150 boys

Step-by-step explanation:

equation:

⇒ 5x + 4x = 270

add like terms:

⇒ 9x = 270

divide 9 on both sides:

⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]

solve:

⇒ x = 30

take original equation and subtitute 30 for x;

⇒5 x 30 + 4 x 30 = 270

⇒ 150 + 120 = 270

We can see that if there were 270 students, 150 would be boys and 120 would be girls.

Answer:

30=2.5x

/2.5 /2.5

12 cupcakes

Step-by-step explanation:

Answer:

Note: The mention of parantheses makes me believe they are asking for one-line expressions with no fractions. If this is incorrect, replace the slashes with fraction lines with the addition and subtraction outside of said fractions.

The equivalent expression, which includes a set of parentheses that make the value of the expression 5 and 13 are,

[tex]10-\dfrac{32}{8}+(2-3)=5[/tex]

[tex]\dfrac{1}{2}\times[(12\div 2)-2]+11=13[/tex]

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

Create an equivalent expression that includes a set of parentheses that make the value of the expression 5.

32 divided by 10 - 8 divided by 2 - 3. Make the expression with assuming the result as n.

[tex]n=10-\dfrac{32}{8}+(2-3)\\n=10-4-1\\n=5[/tex]

Create an equivalent expression that includes a set of parentheses that make the value of the expression 13.

1/2 x 12 divided by 2 - 2 + 11

Make the expression with assuming the result as n.

[tex]n=\dfrac{1}{2}\times[(12\div 2)-2]+11\\n=\dfrac{1}{2}\times[6-2]+11\\\\n=\dfrac{1}{2}\times4+11\\n=2+11\\n=13\\[/tex]

Thus, the equivalent expression which includes a set of parentheses that make the value of the expression 5 and 13 are,

[tex]10-\dfrac{32}{8}+(2-3)=5[/tex]

[tex]\dfrac{1}{2}\times[(12\div 2)-2]+11=13[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you need to calculate the entire length (in meters) of the metal used in the gate, then multiple the length by 2.5 kg per meter

Break it into parts.......

four pieces on along the outside is just the perimeter of a rectangle

         P = 2( L + H)        both sides and the top and bottom

the two crossing metal pieces are just the hypotenuse of a right triangle and since we have two pieces of metal

        a² + b² = c²     or   L² + H² = Hyp²          solving for the htpotenuse

                         Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]              

so the total length of the gate metal is

P = 2( L + H)    plus        2 Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]  

   = 2( 12 + 5)      +     2 [ √(12² + 5²) ]

   =       34          +   2 [ √( 144 + 25) ]

   =       34  +  2 ( √169)

   =       34 +  2( 13)

   =       34 + 26

   =     60 meters   of gate metal            metal weighs  2.5 kg per meter

  Total weight equals 60 meters   times    2.5 kg per meter

    Total weight = 60 (2.5)    =     150 kg

Answer:

A. X+6=6x

X+6=6(x)

Step-by-step explanation:

B. 3+6=3×6

9=18

Answer:

v = 165

Step-by-step explanation:

v/22 -0.1 = 7.4

v/22 = 7.4+0.1 =7.5

v = 7.5*22

v = 165

Answer:

[tex]v = 165[/tex]

1) Add 0.1 to both sides.

[tex] \frac{v}{22} = 7.4 + 0.1[/tex]

2) Simplify 7.4 + 0.1 to 7.5.

[tex] \frac{v}{22} = 7.5[/tex]

3) Multiply both sides by 22.

[tex]v = 7.5 \times 22[/tex]

4) Simplify 7.4 × 22 to 165.

[tex]v = 165[/tex]

Therefor, the answer is v = 165.

Answer:

1 and 3

Step-by-step explanation:

Answer:

94.5 inch3 ( D )

Step-by-step explanation:

I was panicking because It would not let me edit. The answer is D

Answer:9

Step-by-step explanation:

Answer:

AC=QP

AB=PR

<BAC=[<QPR

THESE SIDES AND ANGLES ARE CONGRUENT

Step-by-step explanation:

CAB=~QPR

Answer:

A. True

B. False

Step-by-step explanation:

1: 30 + 10 = 40 and 8 x 5 = 40 (both match)

2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)