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2 years ago

What is 96-8c=20-12

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

c = 11

Step-by-step explanation:

96 - 8c = 20 - 12 , that is

96 - 8c = 8 ( subtract 96 from both sides )

- 8c = - 88 ( divide both sides by - 8 )

c = 11

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Write three ordered pairs for direct variation relationship where y= 12 when x= 16

Kruka [31]

Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).

In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.

y = kx

12 = k(16)

3/4 = k

Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.

3 0

3 years ago

Class A has 15 pupils and class B has 29 pupils.

Vaselesa [24]

The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Class A has 15 pupils and class B has 29 pupils. The mean score for class A is 55. Hence:

Mean score of A = (sum of all scores) / 15

55 = (sum of all scores) / 15

sum of all scores in A = 825

The mean score for both classes is 76. Hence:

[(sum of all scores in A) + (sum of all scores in B)]/(total number of pupils) = mean score of both classes

[825 + (sum of all scores in B)]/(15 + 29) = 76

sum of all scores in B = 2519

Mean score of B = (2519) / 29 = 86.86

The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.

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6 0

1 year ago

Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.

Phoenix [80]

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

3 0

3 years ago

Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each

EastWind [94]

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

<h3>What is a solution to a system of equations?</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

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6 0

1 year ago

I need help with these three problems.... please help me????

viva [34]

12. Answer: 2130

<u>Step-by-step explanation:</u>

T = -0.01y + 10.6

9.2 = -0.01y + 10.6

-1.4 = -0.01y

140 = y

"y" represents the number of years after 1990

1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = $\frac{28 - 63}{16405-6562}$

= $\frac{-35}{9843}$

= $\frac{-0.0036}{1}$

**************************************************************

14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

(200, 55) and (500, 140)

rate = $\frac{140-55}{500-200}$

= $\frac{85}{300}$

= $\frac{0.28}{1}$

5 0

3 years ago