John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. A. 4d – $13.00 + $6.00 = $13.20; $6.73

B. 4d + $13.00 – $6.00 = $13.20; $1.55

C. 4d + $13.00 – $6.00 = $13.20; $1.60

D. 3d + $13.00 – $6.00 = $13.20; $2.07

Answers

Answer 1
Answer:

If John and 3 friends ordered pizza for $13.00 and they paid $13.20 where in they also used the $6.00 gift certificate. Then we can deduce that the total amount of the bill was $13.20 + the gift certificate which is $6.00 which is equal to $19.20 and since the pizza was for $13.00 then we can deduct this from the total bill to get the amount of the drinks, ergo $19.20 - $13.00 = $6.20 since there were 4 large drinks so we divide the total amount of the drinks to the number of drinks. We would have $6.20 / 4 = $1.55 / large drink.

So the answer would be:

B. 4d + $13.00 – $6.00 = $13.20:$1.55


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What is the decimal equivalent for a meter and a centimeter?

Answers

The decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

Two units of length measurement are meters and centimeters

The units meter and centimeters can be used to measure the length.

There are many more units for measuring the length are feet, kilometers, millimeters, meters, centimeters,  etc

As we know,

1 meter = 100 centimeter

1 cm = 1/100 meters

1 cm = 0.01 meters

Thus, the decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

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1cm = 0.01m

1m = 100 cm

Which systems of equations have exactly one solution?Choose all answers that are correct.
1. y = 2x
y=2x+1

2 . x =5
y = -4

3. y = x+6
y -6 =x

4 . y= 3x+ 4
y =3

Answers

1.
y=2x \n y=2x+1 \n \n2x=2x+1 \n2x-2x=1 \n0=1 \nnot \ true - no \ solution

2.
x=5 \ny=-4 \nalready \ solved - one \ solution

3.
y=x+6 \ny-6=x \n \ny=x+6 \ny=x+6 \n \nx+6=x+6 \nx-x=6-6 \n0=0 \ntrue - infinitely \ many \ solutions

4.
y=3x+4 \ny=3 \n \n3=3x+4 \n3-4=3x \n-1=3x \nx=-(1)/(3) \n \n(x,y)=(-(1)/(3),3) - one \ solution

The answer is 2 and 4.

6Which line has the steeper slope?
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6

Answers

Line A has a slope of 4/3
Line B has a slope of 4/2
The answer is Line B

Final answer:

The steeper line is determined by comparing the slopes of the two lines. The line with the larger slope value is the steeper line. However, the actual slopes of Line A and Line B in the question are not provided.

Explanation:

From the question, it seems like there are two given lines - Line A and Line B but no specific data is provided about their slopes. Therefore, with the information given, we can't determine which line has the steeper slope. Essentially, the steeper line would be the one with the higher slope value when represented in the form: y = mx + c, where 'm' is the slope. For instance, if Line A had an equation of y = 2x +1 and Line B an equation of y = 4x + 1, Line B's slope is steeper because it has a larger 'm' value compared to Line A.

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What is 5,613.748 rounded to the nearest tenth

Answers

Answer: 5,613.7

Step-by-step explanation:

To round the number 5,613.748 to the nearest tenth, look at the digit in the hundredths place, which is the 4. Since it's less than 5, you leave the tenths place (7) as it is, and the number rounded to the nearest tenth is:

5,613.7

(10y^3+20y^2+55y)/5y

Answers

( 10y^3 + 20y^2 +55y ) / 5y
= 2y^2 + 4y +11

And then depending on if the equation is set to zero in the problem, just factor or use the quadratic formula on the quadratic equation that is left.

Answer:

2y^2+4y+11

Step-by-step explanation:

The price of an item increased by 25%. If the price of the item after the increase is $2, find the original price.a) $1.50, b) $1.60, c) $1.75, d) $2.50, e) $3.20

Answers

25 % = 25/100 = 0.25

x ⇒ original price

x + 0.25x = 2 \n 1.25x = 2 \n x = 2/1.25 \n x = 1.6

The original price was $1.6

x+0.25x=2\n 1.25x=2\n x=\$1.6\Rightarrow B