Write a function rule that gives the total cost c(p) of p pounds of flour if each pound costs $3. How
much would it cost for a three pound bag of sugar?

Answer:

infinite solutions

Step-by-step explanation:

At first, we try to isolate the x, but adding 4 to  -4 on both sides. Both sides have a -4 so it cancels out on both sides of the equation. Similarly, both sides also have a positve 6x, so when we subtract 6x from 6x we get 0. After simplification, we get x = x; x can be any number [ex. 1=1, 2=2, 3=3,etc.], therefore any number can fit into this equation

6x - 4 = -4 + 6x

6x - 4 + 4 = -4 + 4 +6x

6x = 6x

x = x

Answer:

infinite solutions

Step-by-step explanation:

Answer: they will need to sell 1,000 soft  drinks and 50 cakes

Step-by-step explanation:

Answer:

Blue marbles: 18

Green marbles: 25

Step-by-step explanation:

First off, we have to define our variables.

g = # of green marbles

b = # of blue marbles

We know two equations:

g + b = 43 and g = b + 7

If you're wondering how I got the first equation, it was because the number of green and blue marbles is 43. For the second equation, we know that there are 7 more green marbles than blue marbles.

Now, we have an equation for the number of green marbles. We can plug that equation into the equation g + b = 43.

So, (b + 7) + b = 43.

When we simplify it, we get 2b + 7 = 43.

We subtract 7 from both sides, which gets us 2b = 36.

Now, b = 36/2.

b = 18.

So, we found out the number of blue marbles that we have. We know that g + b = 43. Now, all we have to do is plug in the number of blue marbles into that equation to find out the number of green marbles.

g + 18 = 43.

g = 43 - 18.

g = 25.

Thus, the number of green marbles we have is 25 and the number of blue marbles is 18.

Answer:

1. You should use subtraction (20-12.68=7.32)

2. You should use multiplication

3. You need to know 5 boxes and $5.29

4. You need to know 10 packages and 2 cases

Step-by-step explanation:

I hope this helpss!!

Answer:

14 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔBDS ~ ΔBZD

Use ratios of similar triangles:

DZ = √(52²-20²) = 48

Correct choice is B

Answer:

probablt m= 0.628

Step-by-step explanation:

Answer:

x = 13.75

Step-by-step explanation:

(4x + 5) - 10 = 50

4x + 5 - 10 = 50

4x - 5 = 50

4x = 50 + 5

4x = 55

x = 55/4

x = 13.75

Answer:

the answer should be x = -6

Step-by-step explanation:

-9x + 6y = 18

-9x + 6(-6) = 18

-9x - 36 = 18

-9x - 36 + 36 = 18 + 36

-9x = 54

-9x ÷ -9 = 54 ÷ -9

x = -6

Answer:is 5 ^ -2 ????

Step-by-step explanation:

Answer:

22.47

22.5 (simplified)

Step-by-step explanation:

22.47 = √(8^2 + 21^2)

Answer:

the answer is 12

Step-by-step explanation:

edg 2021

The length of the side LJ of triangle ΔJKL can be obtained as 12 units. The correct option is (C).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

As per the given question, O is the midpoint of LK.

Then, LO = OK.

The equation can be written as,

⇒ 2x = x + 8

⇒ x = 8

Then, NJ = 8 - 2 = 6

Since, N is also the midpoint of LJ.

LJ = 2 × NJ

⇒ LJ = 2 × 6 = 12.

Hence, the length of the side LJ can be found as 12 units.

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Answer:

4x + 45

______

Answer:

LSA of a cube = 100 in²

Explanation:

Let the area of the cube be a.

Given the following data;

a = 5 in²

To find the lateral surface area;

We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.

Lateral surface area (LSA) of a cube = 4a²

Substituting into the equation, we have;

LSA of a cube = 4*5²

LSA of a cube = 4*25

LSA of a cube = 100 in²

Therefore, the lateral surface area of the package is 100 square inches.

THe Left one

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The bottom one:

Lateral area.

= 12 x 4

= 48 cm²

The left one:

Lateral area.

= 12 x 4

= 48 cm²

The diagonal one:

Lateral area.

= 1/2 x 4 x 4

= 8 cm²

Now,

Area.

= ( 1/2 x 4 x 4 ) x 12

= 8 x 12

= 96 cm³

Thus,

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

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Answer:

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

PM = QM

Step-by-step explanation:

because it's a parrallelogram, Ad = BC and AB = DC.

P passes through both  AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.

the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB

that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC  and AB to Dc, we know now that lines AM and MC are congruent

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

thus PM = QM

The alternate interior angles formed by the parallel sides and a common

transversal are equal, such that ΔPBM and ΔQDM are congruent.

Correct response;

The two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reason

ABCD is a parallelogram [tex]{}[/tex]                         Given

AC and DB are diagonals of ABCD [tex]{}[/tex]        Given[tex]{}[/tex]

M is the point of intersection of the diagonals [tex]{}[/tex] Given

MB ≅ DM, and AM ≅ CM;[tex]{}[/tex]  Properties of the diagonals of a parallelogram

∠PMB ≅ ∠DMQ [tex]{}[/tex]                                Vertical angles theorem

∠PBM ≅ ∠QDM [tex]{}[/tex]                                Alternate interior angles theorem

ΔPBM ≅ ΔQDM  [tex]{}[/tex]                               Angle-Side-Angle Congruency post.

PM ≅ QM [tex]{}[/tex]                                          CPCTC

ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency

postulate, given that they have two angles and an included side that are

congruent.

Therefore;

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Answer:

x=31

Step-by-step explanation:

that is an example of suplementary angles meaning that they will add up to equal 180

180-149=31

x=31

Answer:

The answer is 12.4.

Step-by-step explanation:

The exact distance would be 3 rooted to 17 but the decimal is 12.4.

I used my graphing calculator so i can't explain much :))

Hope this helps:))

Answer:

C

Step-by-step explanation:

C

Answer:

g. 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

since it's a 45 45 90 triangle, both the legs are the same (8) and the hypotenuse(y) would be 8 rad 2 :)

Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

Question/Equation:

9/20=__%

Answer/Steps to answer:

1. For the denominator, recognize that 20×5=100.

Multiple = 55

2. Multiply both the numerator and denominator by the multiple 5.

9×5/20×5

3. Simplify.

45/100

4. Simplify.

45% (0.45 Is Decimal Form)

Done by NeighborhoodDealer

Answer:

4 red beads

Step-by-step explanation:

Answer:

y=-(2±√21)

Step-by-step explanation:

Answer:

y=-6.5

Step-by-step explanation:

Answer:

84 m squared

Step-by-step explanation:

Answer:

84 m²

Step-by-step explanation:

Area of parallelogram = (4 + 8)* 7 = 12*7 = 84 Sq m

Answer:

a. 45 degrees

b. 315 degrees

c. 8π

d. π

e. 7π

f. 16π

g. 2π