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3 years ago

Which value is a solution of the equation 2 - 8x = -6? A. 1 B. 1/2 C. -1 D. 8

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

A.) 1

Step-by-step explanation:

First change the equation to 2 + ( - 8x ) = -6 so it’s easier to read

Take away 2 from both sides

So now you have -8x = -8

Divide both sides by -8 so you get positive x and 1

x = 1

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decide if the following change is an increase or decrease. then determine the percent of change. 48 inches to 30 inches

Wewaii [24]

48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease

3 0

3 years ago

Bone-shaped treats are 5 for $3.50 at Shelley's store and Sarah wants to buy 12. She set up and solved this proportion to find h

Molodets [167]

Answer:

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Step-by-step explanation:

Sarah's calculation

Let

x = cost of 12 Bone-shaped treats

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

(5/3.5) = (12/x)

Cross product

3.5x=60 (Here is her error)

x=17.14

Correct calculation

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

5 / 3.5 = 12 / x

Cross product

5 * x = 3.5 * 12

5x = 42

x = 42 / 5

= 8.4

x = $8.4

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Instead of multiplying Quantity of Bone-shaped treats by cost

7 0

3 years ago

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Convert 84% percent to a fraction in simplest form.

Svetlanka [38]

84/100 which would then be 42/50 which will then be 21/25

8 0

3 years ago

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Determine if the statement is true or false:

erma4kov [3.2K]

Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.

True

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

True in whatever way we do the reduced form would be equivalent matrices

3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.

True, because variables are more than equations. So parametric solutions infinite only is possible

8 0

3 years ago

A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13

saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}$

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

$Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28$

So, Mean = 6.28

2) Median

The formula used to calculate median is: $Median=\frac{n+1}{2}\:th\: term$ because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

$Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term$

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: $Range=Maximum\:Value-Minimum\:Value$

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

$Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6$

So, Range = 6

3 0

3 years ago

Read 2 more answers