MATHEMATICS MIDDLE SCHOOL

The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5 1/2 liters of gasoline?

Answers

Answer 1

Answer:

Answer:

66 km

Step-by-step explanation:

Given that

Number of km's traveled by a car using g liters of gasoline = 12g

Number of gallons of gas required to travel 12g kilometers = g

We have to find

How far this car can travel using $5 (1)/(2)$ or 5.5 liters of gasoline = x= ?

Now we can find this by substituting g= $5 (1)/(2)$ in the the above equation representing number of kilometers traveled by the car.

Number of km's traveled by a car using $5 (1)/(2)$ liters of gasoline = 12 ( $5 (1)/(2)$ )

x = 12 (5.5)

x= 66 km

So, the car travels 66km in 5.5 liters of gasoline

Answer 2

Answer: Substitute in 5 1/2 for g in the expression : 12g=12(5 1/2)=66

So, this car can go 66 kilometers on 5 1/2 liters of gasoline.

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A cone and cylinder have the same height and the same base radius. If the volume of the cylinder is 81 cm^3 what is the volume of the cone in cm^3?A) 9
B) 27
C) 78
D)243

Answers

Answer:

The volume of the cone is $27cm^3$

Step-by-step explanation:

We know that formulas

Volume of cylinder is

$V_1=\pi r^2 h$

Volume of cone is

$V_2=(1)/(3)\pi r^2 h$

we are given

A cone and cylinder have the same height and the same base radius

So, both will have same radius and height

now, we can find ratios

$(V_2)/(V_1)=((1)/(3)\pi r^2h )/(\pi r^2h)$

now, we can simplify it

$(V_2)/(V_1)=(1)/(3)$

we are given

the volume of the cylinder is 81 cm^3

so, $V_1=81$

now, we can plug it and solve for V2

$(V_2)/(81)=(1)/(3)$

$81* (V_2)/(81)=81*(1)/(3)$

$V_2=27$

So, the volume of the cone is $27cm^3$

Hi can someone please help with this. I will reward

Answers

Answer:

it looks like its all right to me

Step-by-step explanation:

3(2-0.9h)+(-1.3h-4) does anyone know the answer

Answers

Answer:

-1.3h - 0.7

Step-by-step explanation:

it is an expression not an answer

Answer and Step-by-step explanation:

$\huge\boxed{2-1.4h}$

$Expand~the~terms~in~the~parenthesis ~and~then,continue~to~combine$ $the~like~terms.$

$3*2-3*0.9h+1.3h-4=$

$6-2.7h+1.3h-4=$

$6-4-2.7h+1.3h=$

$=2-1.4h$

The value of y varies directly with x2, and y = 36 when x = 3.What is the value of y when x = 5?

Answers

X varies directly with Y

Y=KX
Y/X = K K is the constant
36/3= K
12 = K

When X=5,
Y/5=12
Y= 12*5
Y=60

zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. ten people are going on the camping trip, cam zoey make enough 3/4 cup servings so that each person on the trip has one serving. plz i need these answers asap on the pic. # 13, a., b., and c.

Answers

a.) Number of 3/4 cup servings in 5 1/2 cups = 5 1/2 / 3/4 = 11/2 / 3/4 = 11/2 x 4/3 = 44/6 = 7 1/3
Therefore, Zoey did not make enough 3/4 cup serving to go round everybody.

b.) For, every one to have a serving, we have 5 1/2 cups which we want to go round ten people, so each person should get 5 1/2 / 10 = 11/2 / 10 = 11/2 x 1/10 = 11/20.
So the serving should be 11/20 cup for every one to get serving.

c.) If she uses the 3/4 cup serving, then she will need 3/4 x 10 = 30/4 = 7 1/2 cups altogether.
Therefore, she will need to make extra 7 1/2 - 5 1/2 = 2 cups of trail mix.

10 * 3/4 = 30/4 = 15/2 = 7 1/2
7 1/2 > 5 1/2
a ) Zoey can`t make enough 3/4 cup servings.
b ) 5 1/2 : 10 = 11/2 : 10 = 11/2 * 1/10 = 11/20 cup servings
c ) She will need 7 1/2 - 5 1/2 = 2 cups of trail mix more.

The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability that the mean of a sample of 36 people is less than 10.