Sarah and Michelle bought pizza and lemonade for a party.
. Sarah bought 3 pizzas and 2 bottles of lemonade for $31.
• Michelle bought 2 pizzas and 4 bottles of lemonade for $30.
Which of the following systems of equations could be used to find p, the cost of one pizza, and b, the cost of a bottle of lemonade?

A. p + b = 31
p + b = 30

В. Зp + 2b = 30
2p + 4b = 31

C. 3p + 2b = 31
2p + 4b = 30

D. 5p + 6 = 61
p + b= 30 ​

Answer:

1/4.

Step-by-step explanation:

There are 3 even numbers in the 6 numbers on a cube.

So Probability first roll is even = 3/6 = 1/2.

By the same reason Probability of odd number = 1/2.

So: Probability(First is even and second is odd) = 1/2 * 1/2 = 1/4.

Answer:

definetely not a pog champ :)

Step-by-step explanation:

Answer:

(-3, 19)

Step-by-step explanation:

Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

Both lights will flash together again at 2 minutes and 8 seconds.

To find When will they flash together again if they flash together.

LCM is the method to find the smallest possible multiple of two or more numbers.

Given that,

A red light flashes once every 28 seconds

A green light flashes once every 24 seconds

A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore,  we have to find their least common factor.

LCM(28 , 24) = 168

The red and green light will flash together after every 168 seconds.

Time  =168 seconds

Time =168 / 60 minutes

Time = 2 minutes and 8 seconds

The red and green light will flash together after every 2 minutes and 8 seconds.

Hence, both lights will flash together again at 2 minutes and 8 seconds.

Learn more about LCM here:

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Answer:

the answer is 12 yd if you are talking about the question mark.

Step-by-step explanation:

Well, if you split this  figure into two rectangles, then the 16 yd length becomes 12 yd because the one congruent to it is 4 yd. Both sides are congruent so you'd get 12 yd.

Answer:

BRAINLIEST

Step-by-step explanation:

Answer:

$2540

Step-by-step explanation:

Given data

Cost per month=$1400

Increase per year=$190

Time = 6 years

Let the total rent per month be y

Hence, the expression for the monthly rent after 6 years is

y= 1400+190(6)

y= 1400+1140

y=$2540

Answer:

7.8 and 18.8 is your answer

Step-by-step explanation:

give other person brainliest and yes Ik I’m very late ~w~

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Answer:

1/2 or 0.5!!!!!!!!!!!!!

Answer:

x=1/2

Step-by-step explanation:

take 1/4 from each side to get x on it's own.

Answer:

346.4 square centimeters (cm²)

Answer:

346.185 cm²

Step-by-step explanation:

radius = diameter / 2

Area of a circle = πr²

radius = 21/2 = 10.5

Area = 3.14(10.5)²

Area = 346.185 cm²

Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

We are given two functions.

[tex]f(x)=x-4\\g(x)=-x-2[/tex]

The point that represents the equation [tex]f(x)=g(x)[/tex], will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for [tex]x[/tex].

[tex]f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1[/tex]

Now that we are given the x value, we can plug this value back into either equation and solve for the y value.

[tex]f(1)=1-4\\f(1)=-3[/tex]

The point of intersection will be [tex](1,-3)[/tex].

Hope this helps!

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

Answer:

y < -1/2x + 2

Step-by-step explanation:

x+2y<4

subtract x from both sides

2y<-x+4

then divide both by 2

y< -1/2+2

Answer:

Circumference of a circle is 2 pie r

Area of a circle is pie r^2

Diameter is 2radius, that is radii makes up a diameter

Radius of a circle is half of the diameter

Please mark as brainliest

Answer:

16.56

Step-by-step explanation:

I hope this helps you mark me brainliest. Imma senior I need it.

Answer:

16.56

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer d

because if we use option a then second part of the question will not satisfy

if we use option b then first part will not satisfy

hence.this question has no solution

Answer:

0

Step-by-step explanation:

-7+-3

0

ueewowwwyhkfi9hwhwiw

Answer:

D

Step-by-step explanation:

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

The given expressions are 2x³-3x²-3x+2 and x-2.

The factors are the polynomials which are multiplied to produce the original polynomial.

Here, the given polynomial can be factored as follows:

x-2 |2x³-3x²-3x+2| 2x²+x-1

      2x³-4x²

     (-)   (+)

___________

             x²-3x+2

             x²-2x

            (-)  (+)

___________

                 -x+2

                 -x+2

                (-)  (+)

____________

                   0

2x²+x-1 can be rewritten as 2x²+2x-x-1

= 2x(x+1)-(x+1)

= (x+1)(2x-1)

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

To learn more about the factorisation of polynomial visit:

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Answer:

a. y = 4x  b. 48 feet

Step-by-step explanation:

y = mx + b

Plotted points found:

(5,20) (10,40)

Delta y/Delta x

(40-20)/(10-5)

20/5 = 4

Slope: 4

y = 4x + b

The y-intercept is when x = 0. In this case, the y-intercept is 0.

Equation: y = 4x

b.

y = 4(12)

y = 48 feet

Answer:

2x + 18 ≥ 21

x ≥ 2/3

Step-by-step explanation:

Let sum be X

2 times the sum means 2x

the sum of a number and 18 means x + 18

at least -21 means ≥ 21

put them together, and you get, 2x + 18 ≥ 21

If solving for x,

2x + 18 ≥ 21

2x ≥ 3

x ≥ 2/3

Answer:

628.31853

Step-by-step explanation:

V=πr2h

3=π·102·6

3≈628.31853

Answer:

200π

Step-by-step explanation:

h/3πr²

6/3· 10² · π

2 · 100 · π

= 200 π

Answer:

the longest side is AC

Step-by-step explanation:

The longest side will be opposite the largest angle.

4x+(2x-6) + (4x-4) = 180 (all triangle interior angles add up to 180 degrees)

simplify:

10x - 10 = 180

10x = 190

c= 19

angle B = 4(19) = 76 degrees

angle A = 2(19) - 6 = 32 degrees

angle C = 4(19) - 4 = 72 degrees

so the longest side is AC

Answer:

4

Step-by-step explanation:

11s+9t=116

5s+9t=92

Minus bottom equation from the top

6s+0=24

divide 6 on both sides

s=4

Answer:

the third one

Step-by-step explanation:

do you need and explanation

Answer:

They would have built 84 cars

Step-by-step explanation:

From the question, they have already built 9 cars

Now, the hourly production rate is 15 cars per hour;

So therefore, in 5 hours, total that would have been built excluding the initial 9 will be;

15 * 5 = 75 cars

Now, let us add the initial 9

we have this as 9 + 75 = 84 cars

Answer:

[tex]d=1.28\times 10^{-6}\ g/cm^3[/tex]

Step-by-step explanation:

The mass of a bag of sugar, m = 1 kg = 0.001 g

Length of bag, l = 9.2 cm

Width of bag, b = 6 cm

Height of the bag, h = 14.1 cm

We need to find the density of the sugar bag.

Density = mass/volume

So,

[tex]d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3[/tex]

So, the density of the bag is [tex]1.28\times 10^{-6}\ g/cm^3[/tex].