Margaret is thinking of a number. She says, “My number is odd. It is a factor of 36 and a multiple of 3” There are two possible numbers Margaret can be thinking of. Write down these two numbers.

Answer:

The answer is B.

Step-by-step explanation:

A true proportion is a set of ratios that equal each other.

For example, 1:2=2:4 is a proportion.

As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)

I hope this helps!

Answer:

b = 0

Step-by-step explanation:

To find the value of b, we will follow the steps below;

Using the distance formula:

D = √(x₂-x₁)² + (y₂-y₁)²

from the question given,

A (-3, b), this implies

(-3, b) = (x₁ ,y₁)

x₁=-3   and y₁ = b

similarly

B (1, 3)

(1, 3) = (x₂,y₂)

this implies

x₂ = 1    and  y₂=3

D= 5

we can now proceed to insert the values into the formula and then solve for b

D = √(x₂-x₁)² + (y₂-y₁)²

5 = √(1+3)² + (3-b)²

5 = √4² + (3-b)²

5=√16 + (3-b)²

take the squares of both-side of the equation

5² = 16 + (3-b)²

25 = 16 + (3-b)²

subtract 16 from both-side of the equation

25 - 16 = (3-b)²

9 = (3-b)²

Take the square root of both-side

√9 = 3-b

3 = 3-b

add b to both-side of the equation

3 + b = 3 - b+ b

3 + b = 3

subtract 3 from both-side of the equation

3+b-3 = 3-3

b = 0

Therefore, the value of b is 0

Answer:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285l                     10÷2=5

280ml

Lower Bound: 275ml turn it  to 0.275l

Upper Bound: 6.75l                          0.5÷2=0.25

6.5 Litters

Lower Bound:6.25l

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

22 < 25 Joy definitely does have enough soup for 22 people.

Hey there! I'm happy to help!

The surface area is basically the total area of all of the two-dimensional shapes that make up the prism. So, the surface area is the area of our two triangles, the big rectangle on the bottom, the big rectangle that goes diagonal, and the long on the back.

First, let's find the area of our triangles. To find  the area of a triangle, you multiply the base by the height and then divide it by two!

4×3=12

12÷2=6

So, each of our triangles has an area of 6 cm².

Now, let's find the area of the bottom rectangle. To find it, we just multiply the long side by the short side.

4×11=44

Now, let's look for the big diagonal rectangle above the bottom rectangle.

5×11=55

Finally, we'll find the area of the back rectangle.

3×11=33

Now, we add all of our measurements up: our two triangles and the three rectangles.

6+6+44+55+33=144

Therefore, the surface area of this prism is 144 cm².

Now your can find the surface of area of these shapes! Have a wonderful day!

Answer:

They made 0 gain/loss.

Step-by-step explanation:

0 - 9 = -9

3 x 3 = 9

-9 + 9 = 0

Please tell me if I'm wrong.

Answer: 3

Step-by-step explanation:

Answer:

answer should be 40

Step-by-step explanation:

Answer:

4) 3, -2, -8

5) -7

6) E

7) D

8) 5, -1, 34

Step-by-step explanation:

4) There are at least two prominent points on line EF: (0, -4) and (6, 5). From there, we can find the slope-intercept formula of it.

The slope: (5 + 4) / (6 - 0) = 9 / 6 = 3 / 2

The intercept: (0, -4)

So, we have y = 3/2x - 4.

-3/2x + y + 4 = 0

Multiply every term by 2.

-3x + 2y + 8 = 0.

But the question asks for A to be >0! Multiply everything by -1.

3x - 2y - 8 = 0

So, the values of A, B, and C, respectively, are 3, -2, -8.

5) There are at least two prominent points on line GH: (-9, 4) and (-1, 2). From there, we have...

The slope: (4 - 2) / (-9 + 1) = 2 / -8 = -1/4

y = -1/4x + b

2 = (-1/4 * -1) + b

2 = (1/4) + b

b = 1.75; or 1 and 3/4; or 7/4.

Then, we have our intercept: 7/4.

We have an equation in slope-intercept form: y = -1/4x + 7/4

1/4x + y - 7/4 = 0

Multiply everything by 4.

x + 4y - 7 = 0.

The value of C is -7.

6) Lines that are parallel to the y-axis are vertical lines, which means that the x-values never change. We are looking for an equation where x = 3. That is code letter E.

7) Lines perpendicular to the y-axis are horizontal lines, which means that the y-values never change. We are looking for an equation where y = -5. That is code letter D (y + 5 = 0; y = -5).

8) A line parallel to 5x - 8y + 12 = 0 would have the same slope as it.

5x - 8y + 12 = 0

-8y = -5x - 12

y = 5/8x + 3/2

So, the line should have a slope of 5/8.

3 = (5/8) * (-2) + b

3 = -10/8 + b

3 = -5/4 + b

b = 3 + 5/4

b = 4 and 1/4; 17/4.

y = 5/8x + 17/4

-5/8x + y - 17/4 = 0

Multiply all terms by 8.

-5x + y - 34 = 0

Multiply all terms by -1.

5x - y + 34 = 0.

The values of A, B, and C, respectively, are 5, -1, 34.

I REALLY hope this helps because my brain kinda hurts now XD Have a great day!

Answer:

Step-by-step explanation:

Cm : km

1     :  2.3

x    :  69         Cross multily

2.3x = 69

x      =[tex]\frac{69}{2.3}[/tex]

x      = 30cm

the distance between the two towns on the map is 30cm

Answer:

30 cm

Step-by-step explanation:

69/2.3 = 30

Answer:

Tn = Tn-1 + 2(n-1) + 5

Kindly note that Tn-1 means T subscript n-1

Step-by-step explanation:

Here, we want an expression for the nth term.

First term is 7

Then first common difference is 7

second common difference is 7 + 2

Third common difference is 9 + 2

So within the common differences, the nth term is 7 + (n-1) 2

Now, the nth term of the series would be;

Tn = Tn-1 + 7 + 2(n-1)

Tn = Tn-1 + 7 + 2n -2

Tn = Tn-1 + 2n + 5

Now there is a fix to this,

n for the term is not the same n for the common difference.

the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.

So we might need to rewrite the final expression as follows;

Tn = Tn-1 + 2(n-1) + 5

1)

2, 5, 8, 11, 14

2)

0, 2, 8, 18, 32

3)

-6, -1, 2, 3, 10, 29

substitute the given values for x and do as the function says.

Answer:

13.6

Step-by-step explanation:

density= mass/volume

= 544g/40cm3

=13.6

Answer:

(7.5 , 5.5)

Step-by-step explanation:

The midpoint is halfway between the two end points:

Its x value is halfway between the two x values

Its y value is halfway between the two y values

To calculate it:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

Answer:

C. X = -2

E. X = 2

Step-by-step explanation:

16(-4)² = 64

16(16) = 64

256 = 64 (false)

16(4)² = 64

16(16) = 64

256 = 64 (false)

16(-2)² = 64

16(4) = 64

64 = 64 (true)

16(-8)² = 64

16(64) = 64

1024 = 64 (false)

16(2)² = 64

16(4) = 64

64 = 64 (true)

16(-64)² = 64

16(4096) = 64

65356 = 64 (false)

Answer:

Option B

Step-by-step explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

[tex]f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )[/tex]

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

[tex]f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )[/tex]

Your solution should be option b, "  f(-4) = g(-4) and f(0) = g(0) "

Answer:

(7, 8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

Simply set our midpoint and given point equal into a formula to find the other endpoint:

4 = (1 + x)/2

8 = 1 + x

x = 7

6 = (4 + y)/2

12 = 4 + y

y = 8

Answer:

Step-by-step explanation:

To get from ABC to A'B'C', ABC is reflected across line m.

To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".

I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C",  instead of A'B'C' or A"B"C", but I really hope this answers your question!

The rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

We have to given that,

To find the rule which describes the composition of transformations that maps ABC to A'B'C'.

Here, The triangle ABC and it's image A'B'C' is shown in image.

Clearly, Image of triangle ABC is reflect across the line m.

Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

Learn more about the transformation visit:

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Answer:

[tex] - \frac{5}{8}[/tex]

Step-by-step explanation:

[tex] - \frac{9}{8} = v - \frac{1}{2} \\ \\ \frac{1}{2} - \frac{9}{8} = v \\ \\ \frac{4}{8} - \frac{9}{8} = v \\ \\ \frac{4 - 9}{8} = v \\ \\ v = - \frac{5}{8} \\ [/tex]

Answer:

-2/3

Step-by-step explanation:

Well, multiplicative inverse means the opposite of a answer in this case 1 1/2 has to be made into an improper fraction.

3/2.

Hence, the multiplicative inverse of 3/2 is -2/3.

Answer:

B

Step-by-step explanation:

Correct if wrong

Answer:

[tex]3^{0} =1[/tex]

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

72/2 =36

120/2 =60

=36/60

36/2 = 18

60/2 = 30

=18/30

18/2=9

30/2 =15

= 9/15

9/3=3

15/3 =5

= 3/5

Answer:

N(t)=300÷300e

Step-by-step explanation:

Add the 1 and the 299 together

this can ONLY be done since the problem actually looks like this in math:

N(t)= 300÷(1+299)e

Hope this helps

Answer:

(-7.5, 0) x intercept

(0, 5.5) y intercept

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at (-7.5, 0)

The y intercept is where it crosses the y axis

It crosses at (0, 5.5)

Answer:

the x intercept will be (-7.5,0) and the y=(5.5,0)

Step-by-step explanation:

the intercept is were the line cross the graph.

Answer:

The roots for the given equation are -8 and 3.

Step-by-step explanation:

The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.

x² * -24 = -24x²

-24x² = 8x * -3x

Now, we write our new equation by replacing 5x with 8x - 3x.

x² + 8x - 3x - 24

Group the first and second terms together and also group the last two terms together.

(x² + 8x) + (-3x - 24)

Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.

x(x + 8) -3(x + 8)

Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.

(x - 3)(x + 8)

Now, equal each term in the parentheses to zero.

x - 3 = 0

x + 8 = 0

Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.

x = 3

x = -8

So, the roots of this equation are {-8, 3}

The price of yesterday's bread equals  the price of today's bread minus  the discount​.

The price of yesterday's bread is equal to the price of today's bread less the dollar equivalent of the discount.

dollar equivalent of the discount = 40% X $7

= 0.4 X $7 = $2.80

Price of yesterday's bread = $7 - $2.80 = $4.20

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Answer:

47 years old.

Step-by-step explanation:

Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:

[tex]4c=15*4=60\ years\\f=m+4\\\frac{4c+m+f}{6}=25[/tex]

Replace the first two equations into the last to solve for 'f':

[tex]\frac{60+(f-4)+f}{6}=25 \\2f=(25*6)-60+4\\f=47\ years[/tex]

The father is 47 years old.

Answer:

Perimeter of rectangle B = 29cm

Step-by-step explanation:

Area of A = 4x x 2.5

Area of B = (2x - 3) x 7

The area of A and B are equal so

4x x 2.5 = (2x - 3) x 7

10x = 14x - 21

-4x = -21

4x = 21

x = 5.25

Work out the perimeter of B:

2x - 3

= (2 x 5.25) - 3

= 7.5

7.5 x 2 = 15

15 + (7 x 2) = 29

Therefore, the perimeter of rectangle B = 29cm

The area of Rectangle is length times of width. Perimeter of rectangle A is 47cm

The area of Rectangle is length times of width.

Area of rectangle A is 4x x 2.5

Area of B = (2x - 3) x 7

The area of A and B are equal so

4x x 2.5 = (2x - 3) x 7

10x = 14x - 21

Take common variables on one side

10x-14x=-21

-4x = -21

Multiply minus on both sides

4x = 21

Divide both sides by 4

x = 5.25

So 4x=4(5.25)=21

2x-3=2(5.25)-3=7.5

Let us find the perimeter of a rectangle with length 21 and width 2.5

2(21+2.5)

2(23.5)=47

The perimeter of rectangle A is 47

Hence the perimeter of rectangle A = 47cm

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Answer:

pretty sure its 5 since 5 is the hoghest exponent

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

Answer:

1:9.75x10^10

Step-by-step explanation:

780000000km/0.008km=97500000000