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netineya [11]
3 years ago
7

Are the ratios 14:18 and 7:9 equivalent

Mathematics
2 answers:
Ulleksa [173]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

because if u divide both of them by two u get 7:9

Pepsi [2]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

14/18 equals 7/9

Dividing by two on the first ratio makes:

7/9 equals 7/9

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A car travels 17 miles on one gallon of gas
zmey [24]

When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,

Step-by-step explanation:

Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.

Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;

x = 17y, this represents the relation between x and y.

To find the gallons in the tank, y = \frac{x}{17},

For x = 170, y = \frac{170}{17} = 10,

Similarly equating the values we get that when x = 187, y = 11,

when x = 204, y = 12,

when x = 221, y = 13,

when x = 238, y = 14,

when x = 255, y = 15,

when x = 272, y = 16,

when x = 289, y = 17,

when x = 306, y = 18,

when x = 323, y = 19,

when x = 340, y = 20,

8 0
3 years ago
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
Inessa05 [86]
First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0
3 years ago
What is 4x -1/2<br> =x+ 7
gogolik [260]

Answer:

Step-by-step explanation:

Bringing like terms on one side

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

5 0
3 years ago
Read 2 more answers
Find the 10th term of the following geometric sequence: 2, 8, 32, 128.        A. 164,357   B. 621,325   C. 524,288   D. 248,221
Galina-37 [17]
Common ratio = 8/2 = 32/8 = 4

10th term  = a1*r^(n - 1)   where a1 = 2 , r = 4 and n = 10
                = 2 * 4^9
                =  524,288
4 0
4 years ago
Read 2 more answers
6. Craig and James both live 4 miles up a hill. Craig hikes uphill at a rate of 1 mile every two hours.
Iteru [2.4K]

Answer:

James

Step-by-step explanation:

James rate:

2x + 2 = 4

2x = 2

x = 1 hour

Rate = distance/time = 4/1 = 4 miles per hour

Craig's rate = 1/2 = 0.5 miles per hour

James is faster

6 0
3 years ago
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