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KiRa [710]
3 years ago
12

8:12=6:a what is the value of a

Mathematics
2 answers:
Whitepunk [10]3 years ago
7 0

Answer:

9

Step-by-step explanation:

\frac{8}{12}=\frac{6}{a}

\frac{2}{3}=\frac{6}{a}

2a=6\cdot{3}

2a=18

a=\frac{18}{2}

a=9

statuscvo [17]3 years ago
5 0

Answer:

a = 9

Step-by-step explanation:

So in this case you just cross multiply

8 : 12 = 6 :  a

6(12) = 8(a)

72 = 8a

Divide both sides by 8

a = 9

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Chef Selena is making her special dish that requires pasta, sauce, and onions.
PilotLPTM [1.2K]

Answer:

A and D. She can make 32 servings in total.

Step-by-step explanation:

This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.

5 1/8 + 4 7/8 + 6 = 16

This is choice A.

Then she must divide this by 1/2 because each serving is 1/2 pound.

16 ÷ 1/2 = 32

That is choice D.

7 0
3 years ago
The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coeffic
kozerog [31]

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

6 0
2 years ago
Solve for x -6x+14<-28 AND 3x+28<=25
scoray [572]

Answer:

-6x+14<-28

x = x > 7

3x+28<=25

x = x less than or equal to -1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

7 0
3 years ago
Determine the type(s) of the triangle with the given coordinates. X(6,1) Y(-2,-3) Z(0,3)
jeyben [28]

The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

The given coordinates are X(6,1) Y(-2,-3) Z(0,3).

<h3>What are coordinates?</h3>

A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.

We know that, Distance formula =\sqrt{(x_{2}-x_{1}  )^{2}+(y_{2}-y_{1}  )^{2}  }

Now, XY=\sqrt{(-2-6)^{2}+(-3-1)^{2}  }=\sqrt{80} units

YZ=\sqrt{(0+2)^{2}+(3+3)^{2}  }=\sqrt{40} units

XZ=\sqrt{(0-6)^{2}+(3-1)^{2}  }=\sqrt{40} units

Here, YZ=XZ

Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

To know more about the coordinate geometry visit:

brainly.com/question/20393391

#SPJ1

3 0
1 year ago
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