Mary, Kate and Amy have a total of $159. Mary has $11 more than Kate. Amy has twice as much money as Kate. a)Using a bar model, illustrate this scenario showing CLEARLY where the $11 and $159 go. b)Determine how much money each girl has.

Answer:

1 trapezoid

2 triangle

3 rectangle

Step-by-step explanation:

it means the shape of the balloon is close to a sphere.

the volume of a sphere is

4×pi×r³

so, it bases on r³.

that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").

in our case we know

8.4 = 2.8 × f

f = 8.4 / 2.8 = 3

so,

large volume = small volume × f×f×f =

= small volume × f³ = 92×3³ = 92×27 =

= 2,484 cm³

Answer:

3. -1/3  ± 2i√5 / 3

Step-by-step explanation:

3x^2 + 2x = -7

Divide through by 3:

x^2 + 2/3 x = -7/3

Completing the square:

x^2 + 2/3 x + (1/3)^2 = -7/3 + (1/3)^2

(x + 1/3)^2 = -7/3 + 1/9

(x + 1/3)^2 = -20/9

x + 1/3 =  ±√(-20) / 3

x + 1/3 = ± 2√-5/3

x  = -1/3  ± 2i√5 / 3

Answer:

  see attached

Step-by-step explanation:

The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.

__

This sum is shown in the attachment.

The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

The coordinates of the polygon WXYZ are:

W = (-4,-1)

X = (-2,-1)

Y = (-2,-4)

Z = (-3,-2)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

W' = (4,-1)

X' = (2,-1)

Y' = (2,-4)

Z' = (3,-2)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

W" = (-4,1)

X" = (-2,1)

Y" = (-2,4)

Z" = (-3,2)

Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

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Answer:

C.4400

Step-by-step explanation:

The formula to convert Fahrenheit to Celsius (or Vice Versa) is,

F

=

(

9

C

5

)

+

32

Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.

Time for substitution

( 9C)

40 = ______ +32

5

I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.

=> (40 -32) 5

________ = C

9

Then take all the constant term to one side and keep the variable on other side.

C = 4.4444444

C = 4400

Answer:

Step-by-step explanation:

Remark

Make a very crude diagram of what these points look like. You will find that

That gives you a hint about how to find the Length and width.

Givens

From (-8,-3) and (-3, 3) L = -8 - -3 = - 5

From (-8,6) and  (-8,3) w = 6 - 3 = 3

Solution

The length cannot be minus 5. The way to get around that is to call it and absolute value of (-5) which is 5

So the area = L*W

area = 5 *3

area = 15

Answer

Area = 15

Answer:

[tex] \: [/tex]

Step-by-step explanation:

It is given that, The circumference of a circle is 198 cm and we are to find the radius of the circle.

[tex] \: [/tex]

To find the radius of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\ [/tex]

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =198}}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ \: 6.28 \times r \: =198}}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{198}{6.28} }}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 31.528 }}}}} \\ \\ [/tex]

Therefore,

Answer:

41

Step-by-step explanation:

(3*7)+(4*10)/2

(21)+(40)/2

Bidmas means you do 40/2 first

21+20=41

Answer:

i believe it's (1,-8)

Step-by-step explanation:

you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.

Answer:

Lower Left!!

Step-by-step explanation:

Because Gina doesn't have the total price, that makes it the unknown or "?" answer, with the price before tax obviously $300.00, and the tax being 8%. Therefore, it's the lower left option.

Answer:

The answer is 12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Option B will be the best option.

Answer:

Each pencil costs 50 cents

Step-by-step explanation:

Step 1:  Determine the price per unit

(Price of Items) / (Amount of items)

($3) / (6)

$0.5

Answer:  Each pencil costs 50 cents

Step-by-step explanation:

p(p-q) - q(q-p)

p²-pq - q² +pq

p² - q²

Choice 1

Answer:

1,080 square inches

Step-by-step explanation:

27 inches * 40 inches = 1,080 square inches

circumference= 3.14m

the radius of the circle

Circumference of a circle = 2πr

Given, circumference = 3.14 meters

Therefore:

2πr = Circumference of a circle

2πr = 3.14

2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14]

6.28r = 3.14

r = 3.14/6.28

r = 0.5

Answer:

To round 376.77 to the nearest dollar consider the tenths’ value of 376.77, which is 7 and equal or more than 5. Therefore, we have to round the amount up: the dollar part of 376.77, 376, increases by 1 to 377, and the decimal point and all digits (.77) are removed.

Step-by-step explanation:

The solutions of the given equation are x = 4 or x = -5.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.

Given is an equation, 3(x – 4)(x + 5) = 0 we need to find the solution of the equation,

So, we can see that the equation is a quadratic equation, so it will have two solutions,

The equation is already in factored form,

So,

3(x – 4)(x + 5) = 0

Solution,

x-4 = 0

x = 4

x+5 = 0

x = -5

Hence, the solutions of the given equation are x = 4 or x = -5.

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Answer:

first one is correct second one is 6 and third one is 2 and a half

Answer:

If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.

Altogether 6 blocks.

If Catelyn lives halfway between the park and the school, the amount of blocks is 5.

She lives halfway between.  Hence, what is 5 divided by 2?

2.5 or 2 1/2 blocks.

Step-by-step explanation:

Answer:

6a + 6b

Step-by-step explanation:

Use  Distributive property: a( b +c) =(a *b) +(a*c)

6(a + b) = 6*a + 6*b

            = 6a+ 6b

Answer:

he gained 188 kobo for selling 200 oranges or 192 if the trader selled the oranges for 8 kobo

Step-by-step explanation:

Answer:

b) 70.6

Step-by-step explanation:

To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6

Answer:

c)20 1/4

Step-by-step explanation:

[tex]9x^{2}y^{-2}[/tex]

If We replace x by -3 and y by 2 we get  :

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}[/tex]

Or we have :

[tex]\left( -3\right)^{2} =9\ \text{and} \ \left( 2\right)^{-2} =\frac{1}{2^{2}} =\frac{1}{4}[/tex]

then

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}=9\times9\times\frac{1}{4} = \frac{81}{4}[/tex]

on the other hand :

[tex]\frac{81}{4} =\frac{80+1}{4} =\frac{80}{4} +\frac{1}{4} =20+\frac{1}{4}=20\frac{1}{4}[/tex]

Answer:

11/14-2/10=41/70=0.58

Answer:

y= .45x + 11/3

Step-by-step explanation:

Those points are not on the same line but you can get pretty close with

y= .45x + 11/3

[tex]( 7 . 3^{6} ) ^{4}[/tex]Answer:

= [tex](7^{-3--2}[/tex] x [tex]3^{-8--2} ) ^{-4}[/tex]

= [tex](7^{-1}[/tex] x [tex]3^{-6}) ^{-4}[/tex]

= [tex]( 7^{1}[/tex] x [tex]3^{6}) ^{4}[/tex]

= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]

OR

= [tex](\frac{3^{-8} }{7 . 3^{-2} }) ^{-4}[/tex]

= [tex](\frac{1}{7 . 3^{6} } ) ^{-4}[/tex]

= [tex]( 7 . 3^{6} ) ^{4}[/tex]

= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]

Step-by-step explanation: