At Pizza Pi, 20% of the pizzas made last week had extra cheese. If 50 pizzas had extra cheese, how many pizzas in all were made last week?

Answer:

One solution, x = 8/9

Step-by-step explanation:

One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.

4x + 12 = -y

4x + 12 = -(5(x-4))       <--- substitution here

4x + 12 = -5(x-4)

4x + 12 = -5x + 20     <-- simplifying

4x + 5x = 20 - 12

9x = 8

x = 8/9

Answer:

1. 1.925 Liters

2.  0.075 Liters  less than the 2 Liter of special drink

Step-by-step explanation:

Step 1

Quantity of lemon juice = 0.375 Liters

Quantity of cranberry juice = 0.35 liters

Quantityof water = 1.2liters

Total Quantity of  Special drink = 0.375 L+ 0.35L + 1.2 L= 1.925 Liters

Step 2

But since she wanted to make 2 Liters of the special drink she will have

2 Lter - 1.925L= 0.075Liters  less than the initial 2 Liter of special drink planned.

Answer:

a. 1.925 litres

b. 0.075 litres less

Step-by-step explanation:

a. How much of the special drink can she make?

To find out the quantity of juice produced, add the component juice quantities and the water:

= 0.375 + 0.35 + 1.2

= 1.925 litres

b. How much more or less than 2 litres will she have?

= 2 - 1.925

= 0.075 litres less

Answer:

m = 1 and b = 5/7

Step-by-step explanation:

Take two of the points. The first two. (7, 5) and (8, 6).

We can find the slope using:

y2-y1/x2-x1

We can sub in the values:

6-5/8-7 = 1/1 = 1

So the slope is 1

now, putting this into y=mx+b, and using one of the coordinates from earlier, we can solve for b:

5 = (1)(7) + b

b = 5/7

Therefore, m = 1 and b = 5/7

Hope this helps!

Answer: Standard form:

2x − 18 = 0

Factorization:

2(x − 9) = 0

Solutions:

x = 18

2

= 9

Step-by-step explanation:

12. It's solved you are correct.

Step-by-step explanation:

2x6=12 Also Please mark me brainelst btw mate 2x6 is 12 and 6x2=12. Thanks. I do not know if I'm right.

Answer:

$58.50

Step-by-step explanation:

30% of 45 is 13.50 and 13.50 plus 45 is 58.50

Answer:

x = 1

Step-by-step explanation:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

14

Step-by-step explanation:

4 × 49 =196

The square root of 196 is 14

hope it helps!

Answer: The predicted number of penalty kicks = 12

Step-by-step explanation:

Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.

So, the proportion of penalty kicks she make = 0.3

Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40

= 12

Hence, the predicted number of penalty kicks = 12

Answer:

to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.

y = 3x - 1

-3x + y = -1.....multiply by -1

3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1

Step-by-step explanation:

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Answer:

13 cents per bottle

Step-by-step explanation:

Step-by-step explanation:

=0.2(2b-15c)

=0.4b-3c

hope it helps.

What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south?

Step-by-step explanation:

Answer: The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4,

Answer: 10 sq units

Step-by-step explanation:

Area of triangle: 1/2 x b x h

1/2 x 2 x 2 = 2

Area of the left triangle is 2 sq units

1/2 x 4 x 2 = 4

Area of the right triangle is 4 sq units

Area of square: l x w

2 x 2 = 4

Area of square is 4 sq units

Area of figure: A of square + A of r tri. + A of left tri.

4 + 4 + 2 = 10

The area of the figure is 10 sq units.

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

Answer:B. 0.27

Step-by-step explanation:

Answer:

b = 4

Step-by-step explanation:

Try setting up the equation of the pythagorean theorem.

hypotenuse^2 = leg(a)^2 + leg(b)^2

c^2 = a^2+b^2

Now substitute what you know and solve for the unknown.

5^2 = 3^2+b^2

25 = 9 + b^2

b^2 = 25-9 = 16

b = 4.

Answer: $259.20

Step-by-step explanation: Divide $32.40 by 3 to get $10.80. Then multiply $10.80 by 24 (2 years).

Answer:

$259.20

Step-by-step explanation:

32.4·4=129.6

129.6·2=259.2

Additional info

Twelves months in one year so 12÷3=4

Two years so 129.6·2

Just in case you were wondering how I got 4 and 2

Answer:

16/81

Step-by-step explanation:

Answer:

The answer is 4

cause cancel out the 9 and divide 8and 2

Answer:

87

Step-by-step explanation:

Answer: Regular octagon A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8.

Step-by-step explanation:

Answer:

I think it's 18z slices, please tell me if i'm wrong!

Step-by-step explanation:

6*3 = 18

18*z = 18z

I think it's 18z slices, please tell me if i'm wrong!

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Answer:

12d-4e-2f

4(3d-e) -2f= 4(3x2-4)-2x3

=4(6-4)-6

=4x2-6

=8-6

=2

Step-by-step explanation:

mark as BRAINLIEST

Answer:I'm guessing 48

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Took the test