Solve for m.
5m + 3m - 8 = 64
a m = 9
b m = 2
c m = -2
d m = 5

Answer:

GCF of 25 and 80 = 5

Answer:

GCF of 25 and 80 is 5

Step-by-step explanation:

Answer:

27 and 60

Step-by-step explanation:

lets say the first number 'a' and the second number 'b'

1) The question says the sum of two number is 87 which means a + b = 87........given 1

2) we have another given which says one of the number is 6 morethan twice the other which means a = 2b + 6.......... given 2

a + b = 87

2b + 6 + b = 87 (we substitute 'a' with the given 2b + 6)

3b + 6 = 87

3b = 87 - 6

3b = 81

3b = 81

3 3

b = 27 ..... the first number

a = 2b + 6

a = 2 × 27 + 6

a = 54 + 6

a = 60..... the second number

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Answer:

P = 1800

Step-by-step explanation:

The formula to calculate simple interest (I) is

I = [tex]\frac{PRT}{100}[/tex] ( note that time is in years ), thus

9 months = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75 years

Thus

81 = [tex]\frac{P(6)(0.75)}{100}[/tex] ( multiply both sides by 100 )

8100 = 4.5P ( divide both sides by 4.5 )

P = 1800

Answer:

Step-by-step explanation:

the fourth option shows a list of the first 6 prime numbers

Answer: Option 4. 2, 3, 5, 7, 11, 13

Step-by-step explanation:

Remember, 1 is neither a prime number nor a composite number, it only has one factor.

So, we can exclude the first and second choice.

The third one has 9. But 9 is not a prime number.

Factor of 9: 1, 3, 9

It has 3 factors

So, this is not prime number and it should be excluded.

Hope this helps!! :)

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Answer: A

Step-by-step explanation:

To find the average rate of change, you use the formula [tex]\frac{f(b)-f(a)}{b-a}[/tex]. The best way to get the correct answer is to plug in each interval to make sure it equals 0.

-1 ≤ x ≤ 2: Correct

[tex]\frac{f(2)-f(-1)}{2-(-1)}[/tex]                                    [solve for f(2) and f(1)]

[tex]\frac{1-1}{3}=\frac{0}{3} =0[/tex]

------------------------------------------------------------------------------------------------------

-3 ≤ x ≤ -2: Incorrect

[tex]\frac{f(-2)-f(-3)}{-2-(-3)}[/tex]                                  [solve for f(-2) and f(-3)]

[tex]\frac{5-11}{1} =\frac{-6}{1}=-6[/tex]

------------------------------------------------------------------------------------------------------

-5 ≤ x ≤ 5: Incorrect

[tex]\frac{f(5)-f(-5)}{5-(-5)}[/tex]                                    [solve for f(5) and f(-5)]

[tex]\frac{19-29}{10} =\frac{-10}{10} =-1[/tex]

------------------------------------------------------------------------------------------------------

2 ≤ x ≤ 3: Incorrect

[tex]\frac{f(3)-f(2)}{3-2}[/tex]                                      [solve for f(3) and f(2)]

[tex]\frac{5-1}{1} =\frac{4}{1} =4[/tex]

------------------------------------------------------------------------------------------------------

After going through all the intervals, we found that A was the only one that has an average rate of change of 0.

Answer/Step-by-step explanation:

Maximum number of treats = amount of juice (58 in³) ÷ volume of cone-shaped container to be used

We are given different containers with the same height of 3 in, but different radius. Volume of a cone is given as ⅓*πr²h

Complete the table as follows:

Maximum no. of treats to be made with container of radius (r) 0.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*0.5²*3 = 0.79 in³

Max no. of treats = 58 ÷ 0.79 = 73.4

73 containers can be filled completely. Therefore, maximum number of treats she could make is 73

Maximum no. of treats to be made with container of radius (r) 1 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1²*3 = 3.14 in³

Max no. of treats = 58 ÷ 3.14 = 18.5

18 containers can be filled completely, therefore, maximum number of treats to be made with this cone is 18 treats.

Maximum no. of treats to be made with container of radius (r) 1.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1.5²*3 = 7.07 in³

Max no. of treats = 58 ÷ 7.07 = 8.2

Max no of treats to be made is 8.

Answer:

7, -2

Step-by-step explanation:

we call the first number "X" and the second one "Y"

X is 9 more than Y! which means we need to add 9 to Y so it'll be equal to X. so: Y+9=X

also 2×(X+Y)=10

you can also write this down as: 2X+2Y=10

now we have:

X=Y+9

2X+2Y=10

you can now put what equals to X in the second Equation:

2(Y+9)+2Y=10 => 2Y+18+2Y=10 => 4Y=10-18 =>Y= -2

the only thing left to do is to put Y= -2 in the first equation:

X= -2+9 => X=7

An algebraic equation is an equation with unknown variables which can be represented using any number of the alphabet.

The two numbers are  7 and -2

Let's represent the unknown numbers which are the unknown variables with the letters

Let the first number = m

The second number = n

A number is 9 more than another number. This statement is represented by the algebraic equation:

m = 9 + n .......... Equation 1

Twice the sum of the two numbers is 10. This statement is represented by the algebraic equation:

2 (m + n) = 10

2m + 2n = 10...................Equation 2

We substitute 9 + n for "m" in Equation 2

2(9 + n) + 2n = 10

18 + 2n + 2n = 10

Subtract 18 from both sides

18 - 18  + 2n + 2n = 10 - 18

4n = -8

Divide both sides by 4

4n/4 = -8/4

n = -2

We solve for m using Equation 1

m = 9 + n

m = 9 + (-2)

m = 9 - 2

m = 7

Therefore, the two numbers are  7 and -2

To learn more, visit the link below:

https://brainly.com/question/22299566

Answer: 15 games

Step-by-step explanation:

Answer: 46

Step-by-step explanation:

Question options :

A)64

B)192

C)128

D)384

Answer:

B)192

Step-by-step explanation:

Please find attachment

Answer: z = 0 | Equation is not solvable

Step-by-step explanation:

We have 3 = 7 - 2(3z + 2)

When we distribute the 2, we get: -6z - 4 + 7 = 3

Combine like terms: -6z + 3 = 3

Subtract the left hand side 3 from the right hand side 3: -6z = 0

We can not divide by zero thus the equation is not solvable.

Answer:

347

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

Because a distribution of sample means is as the set of means from all the possible random samples of a specific size, selected from a specific given population.

Answer:

The median = Median = $77,153.5

Step-by-step explanation:

Given the data :

199999 98789 90878 87678 87245 83675 77876 77743 76564 76465 75643 66768 65654 58768 54678 51354

Measures of central tendency are used to describe the center or midpoint of a group of observation. They could include the mean, median and mode.

Mean described the average value of the distribution

Median, the middle observation.

Mode, the observation which occurs most

Using online calculator to save time ;

the mean = 83,111.06

Median = 77153.5

For the mode, all the values have a frequency of 1

Plotting the data on an histogram, it could be observed that the Data is positively skewed and hence, not symmetrical.

Since the distribution is not symmetrical, using the mean isn't the best and the mode is also not usable.

Therefore, the median seems to be the best of the 3 measures

Answer:

(0, 0.5)

Step-by-step explanation:

Let M is the midpoint of the line

x-coordinate of the midpoint:

xM = ( xA + xB ) / 2 = (-6 + 6) / 2 = 0

y-coordinate of the midpoint:

yM = (yA + yB) / 2 = (8 - 7) / 2 = 1/2 = 0.5

Answer: M (0, 0.5)

Answer:

(0, 0.5)

Step-by-step explanation:

Answer:

Since BD bisects angle ABC, the resultant angles, angles ABD and CBD will be equal in magnitude. Since we are not given either the value of ABC nor are we given the figure, the answer we can get to from the given question is

angle ABD  = angle CBD

Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

Multiply both sides by 3/19:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

y = 4

Hint: | Perform a back substitution.

Substitute y = 4 into the first and second equations:

{z = -x - 3

x = -3

y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

{z = 0

x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer:  {x = -3 , y = 4 , z = 0

Answer:

[tex]\huge\boxed{B. \ Perpendicular \ Lines}[/tex]

Step-by-step explanation:

The edges of length and width of a piece of printer paper perpendicularly intersect each other.

=> Perpendicular Lines are those making an angle of 90 degrees with each other.

Answer:

Perpendicular lines

Step-by-step explanation:

H.

Answer:

Has not solution.

Step-by-step explanation:

14x÷2 = 6(x - 0)

14x÷2 = 6*x + 6*-0

14x÷2 = 6x - 0

14x = 2*6x

14x ≠ 12x

then:

This equation has not solution.

Answer:

[tex]\Huge \boxed{\mathrm{14}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex](\frac{1}{4} )^{-2} - (5^0) (2)(1^{-1})[/tex]

Solving for exponents and multiplying:

[tex](4 )^{2} - (1) (2)(1)[/tex]

[tex]16-2[/tex]

Subtracting:

[tex]\Rightarrow \ 14[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\huge\boxed{14}[/tex]

Step-by-step explanation:

[tex]\sf (\frac{1}{4} )^{-2} - (5^0 * 2 )* (1^{-1})[/tex]

Using law of exponents [tex]a^0 = 1[/tex] and [tex]1/a^m = a^{-m}[/tex]

=> [tex]4^2 - (1*2)*(1)[/tex]

=> [tex]16 - 2[/tex]

=> 14

Answer: d.negatively skewed

Step-by-step explanation:

1

15

36

6

67

68

68

68

69

69

69

69

70

70

70

70

70

71

71

72

The distribution with the data above is negativey skewed. This was inferred from the histogram plot generated from the data.The output shows a distribution which has a long tail to the left and peaks to the right. This characteristics describes a distribution which is negatively skewed. Diagram of the obtained histogram for the distribution can be found in the attachment below.

Answer:

0.2 repeating

Step-by-step explanation:

3/196

Step-by-step explanation:

multiply everything

Answer: B) Shift 3 units down

Recall that y = f(x) as both describe outputs of a function. The same applies for g(x) as well. Saying f(x)-3 means y-3. So we're subtracting 3 from the y coordinate of each point. A point like (1,5) moves to (1,2). Doing this to all points on f(x) will move the entire curve down 3 units.

Answer:

9x

Step-by-step explanation:

X=1/7y-9

X+9=1/7

7x + 63 = y

Y=7x+63

Y-7x=63

Y=63/7x

Y=9x

Answer: 6√2m or 8.49.

Step-by-step explanation:

Drawing the right angled triangle and label the sides, AC, which is the hypotenuse and the longest, AB , one if the sides, and BC the third sides. Since it is an isosceles right angle triangle with the right angle at B, based on my own diagram here, two of the sides are equal.

AB = BC = 6m

Now to find the hypotenuse, we apply the Pythagoras theorem which states that the square of the sum of the two sides equal the square of the hypotenuse side.That is

AC² = AB² + BC²

AC² = 6² + 6²

= 36. + 36

= 72

AC² = 72, Therefore, AC which is the hypotenuse

AC = √72

= √36 × √2

= 6√2m. or 8.49m

Answer:

C. . how old they are

Step-by-step explanation:

Geologist are people that deal with the internal structure of the earth.

They study Rocks, and it's deposit accumulated millions of years back.

They can also give account of what happened in the past and the types of organisms that existed in the past.

Fossils are traces of event, remains of dead animals and decomposed object.

So geologist can give account of how many years a particular fossil has lived in that particular environment.

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

[tex]\Huge \boxed{9}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3a}{b} -6= 21[/tex]

Add 6 to both sides.

[tex]\displaystyle \frac{3a}{b} =27[/tex]

Dividing both sides by 3.

[tex]\displaystyle \frac{a}{b} = 9[/tex]