If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.

Answer:

5) x = -1

6) x = 2

Step-by-step explanation:

5) 5 + 2x + 6 = x + 10

   2x + 11 = x + 10

   2x + 1 = x

   1 = -x

   -1 = x

6) (9x + 7) + (-3x + 20) = 39

    6x + 27 = 39

    6x = 12

     x = 2

Answer:

For question 5, x= -1

Step-by-step explanation:

Segment Addition Postulate = ab+bc=ac

For Question 5,

(a)     +    (b)  = (c)  

5+2x  +   6    = x+10

5+2x+6=x+10

To solve that,

5+2x+6=x+10

Add 5+6

11+2x=x+10

Subtract 11 from both sides

2x= x-1

x-1=2x

Answer:

[tex]16x^{4}[/tex]

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n} \\\\\\[/tex]    and   [tex](a*b)^{m}= a^{m}*b^{m}[/tex]

[tex](-4x^{2})^{2} = (-4)^{2} *(x^{2})^{2}\\\\\\=16 * x^{2*2}\\\\=16x^{4}[/tex]

Answer: B

Step-by-step explanation:

It’s 168 because to solve problems for the area of a reduced or enlarged figure, first square the scale factor. Then use the given dimensions to find the area of the original figure. Multiply the square of the scale factor by the area of the original to get the reduced or enlarged figure.

Answer:

D 558

Step-by-step explanation:

Answer:

= 3/2

[tex] = \frac{18}{(1 + 5)(4 - 2)} [/tex]

[tex] = \frac{18}{(6)(2)} [/tex]

[tex] = \frac{18}{12} [/tex]

Simplify the fraction.

[tex] = \frac{3}{2} [/tex]

Answer:

1/2 or 0.5

Step-by-step explanation:

PEMDAS (parentheses, exponents,multiplication, division, addition, subtraction)

Parentheses: 1+5=6, 4-2=2

Multiply: 6•2=12

Division: 18 divided by 12= 3/2 or 1.5

Answer:

-50

Step-by-step explanation:

A debt is something you owe so it is a negative number

-50

Answer:

-50

Step-by-step explanation:

Answer:

598-x=78

x=598-78

=520

Answer:

-6

Step-by-step explanation:

Answer:

u=5

Step-by-step explanation:

5u+6-12u=-29

5u-12u+6=-29

-7u+6=-29

-7u=-29-6

-7u=-35

-7u/-7=-35/-7

u=-35/-7

u=5

Answer:

Step-by-step explanation:

5u - 12u + 6 = -29

-7u + 6 = -29

-7u = -35

u = 5

Answer:

49/21

Step-by-step explanation:

You just have to switch the numerator and denominator so you can cancel out the number from one side of the equation in a normal problem

Answer:

Step-by-step explanation:

[tex]2 + 1 = \frac{1}{2}x - x[/tex]

[tex]3 = - \frac{1}{2}x[/tex]

[tex]x = \frac{ - 3}{ \frac{1}{2} } \\ x = \frac{ - 6}{1} \\ x = - 6[/tex]

Hope this helps :)

Answer:

la respuesta seria 8

Step-by-step explanation:

Espero que esto ayude!

Answer:

45%

Step-by-step explanation:

Answer:

(y + 1) • (y - 4)

Step-by-step explanation:

Trying to factor by splitting the middle term

1.1     Factoring  y2-3y-4

The first term is,  y2  its coefficient is  1 .

The middle term is,  -3y  its coefficient is  -3 .

The last term, "the constant", is  -4

Step-1 : Multiply the coefficient of the first term by the constant   1 • -4 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

     -4    +    1    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1

                    y2 - 4y + 1y - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y-4)

             Add up the last 2 terms, pulling out common factors :

                    1 • (y-4)

Step-5 : Add up the four terms of step 4 :

                   (y+1)  •  (y-4)

            Which is the desired factorization

Final result :

 (y + 1) • (y - 4)

Answer:

Step-by-step explanation:

[tex]y^2-4=3y\\\mathrm{Subtract\:}3y\mathrm{\:from\:both\:sides}\\y^2-4-3y=3y-3y\\\\\mathrm{Simplify}\\y^2-3y-4=0\\\\\mathrm{Solve\:by\:factoring}\\\mathrm{Factor\:}y^2-3y-4:\quad \left(y+1\right)\left(y-4\right)\\\\\mathrm{Solve\:}\:y+1=0:\quad y=-1\\\mathrm{Solve\:}\:y-4=0:\quad y=4\\\\y=-1,\:y=4[/tex]

Answer:

So, the function is increasing over: [tex](4,\infty)[/tex]

And it's decreasing over: [tex](-\infty,4)[/tex]

Step-by-step explanation:

So first, let's graph the function. Please refer to the attached graph.

The function is increasing when the function is going upwards, and the function is decreasing when the function is going downwards.

From the graph, we can see that the function is going upwards after x=4. Therefore, the function is increasing for all values to the right of 4. In interval notation, this is:

[tex](4,\infty)[/tex]

Also, we can see that the function is going downwards all the way from the left until x=4. Thus, the function is decreasing from for all values to the left of 4. In interval notation, this is:

[tex](-\infty,4)[/tex]

So, the function is increasing over: [tex](4,\infty)[/tex]

And it's decreasing over: [tex](-\infty,4)[/tex]

And those are our answers :)

Important Notes:

Note that we do not use brackets with the 4. This is because the function is only increasing to the right of 4 and decreasing to the left of 4. At exactly 4, the function is still; it is neither increasing nor decreasing. Thus, x equals exactly 4 will be in neither of our intervals.

Answer: 40 percentage of his deliveries has Frank completed

Step-by-step explanation:

Given : Deliveries completed by Frank = 34

Total deliveries = 85

Percentage of deliveries has Frank completed = [tex]\frac{\text {Deliveries completed by Frank}}{\text {Total deliveries}}\times 100[/tex]

Putting in the values:

Percentage of deliveries has Frank completed = [tex]\frac{34}{85}\times 100=40\%[/tex]

Thus 40 percentage of his deliveries has Frank completed

Answer:

The number of small balloons = 46

The number of large balloons = 159

The number of bottles of helium gas = 5

The total cost of the supplies = $68.97

Step-by-step explanation:

The volume of each small balloon = 300 in.³

The volume of each large balloon = 1000 in.³

The cost of one package of 50 small balloons = $2.59

The cost of one package of 24 large balloons = $1.99

The volume of one small tank of pressurized helium = 20 ft³

The volume cost of one small tank of pressurized helium = $10.49

By conversion

20 ft³ = 34,560 in.³

The volume of 30 small balloons = 30 × 300 in.³ = 9,000 in.³

The volume of 30 large balloons = 30 × 1000 in.³ = 30,000 in.³

The volume taken by 24 large balloons = 24,000 in.³,

24 large balloons cost = $1.99

The volume taken by 50 small balloons = 15,000 in.³

50 small balloons cost = $2.59

Therefore, we buy more large balloons

We have;

A×300 + B×1000 = C×34,560

Given that all the helium will be used, the volume of helium will be a multiple of 300, therefore, when 5 bottles of helium is used, we have;

A×300 + B×1000 = 5×34,560 = 172,800 in.³

Given that there will be at least 30 of each balloon, gives;

We remove the minimum possible quantity (more than 30) of small balloons from 172,800 in.³ leaving multiples of 1,000s as follows;

Using Excel, the quantities of 36 and 46 small balloons give the same cost

For 46 small balloons

The volume of 46 small balloons = 13,800 in.³

Therefore, 172,800 in.³ - 13,800 in.³ = 159,000  in.³ = The volume of the large balloons

The quantity of the large balloons = 159,000  in.³/(1,000  in.³/balloon) = 159 balloons

Therefore, we have 46 small balloons, and 159 large balloons, with 5 small bottles of helium gas

The number of package of large balloons is 159/24 = 6.625 ≈ 7 packages

The cost of the 7 packages of large balloons = 7 × $1.99 = $13.93

The number of package of small balloons is 46/50= 0.92 ≈ 1 package

The cost of the 1 packages of small balloons = 1 × $2.59 = $2.59

The cost of the five bottles of helium = 5 × $10.49 = $52.45

$68.97

The number of small balloons = 46

The number of large balloons = 159

The number of bottles of helium gas = 5

The total cost of the supplies = $68.97

At the same cost, we can also have;

The number of small balloons = 36

The number of large balloons = 162

The number of bottles of helium gas = 5

The total cost of the supplies = $68.97

Therefore, we can have 36 or 46 small balloons and 162 or 159 large balloons along with 5 bottles of helium gas with a total cost of $13.93 + $2.59 + $52.45 = $68.97.

Answer:

vertex: (4,3)

axis of symmetry: x=4

Domain (interval notation) :  ( − ∞ , ∞ )

Domain (set-builder notation): { x | x ∈ R }

Range (interval notation): Range:  [ 3 , ∞ )

Range (set-builder notation): { y | y ≥3 }

Maximum/minimum value: (4,3)

Step-by-step explanation:

Answer:

PT=30 units

Step-by-step explanation:

Given that:

Line PQ which has a mid point at T.

[tex]PT = 3x + 9[/tex] and

[tex]TQ = 5x -5[/tex]

To find:

PT = ? in simplified terms.

Solution:

First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.

In other words:

If a point B is the mid point of line segment AC, then AB = BC.

Here, the point T is the midpoint of PQ.

i.e. PT = TQ

[tex]3x+9=5x-5\\\Rightarrow 3x-5x=-5-9\\\Rightarrow -2x=-14\\\Rightarrow x=7[/tex]

Putting value of [tex]x[/tex] in PT above:

[tex]PT = 3x+9 = 3 \times 7 +9 \\\Rightarrow \bold{PT=30\ units}[/tex]

Answer:

32

Step-by-step explanation:

did it, and i was wrong. it gave the right answer that is it. credit to me.

Answer:

here's the answers to your questions

Answer:

x-int: (8/3, 0)

y-int: (0, -32/3)

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

Step 1: Write equation

2x - 1/3 = 1/2y + 5

Step 2: Subtract 5 on both sides

2x - 16/3 = 1/2y

Step 3: Multiply 2 on both sides

4x - 32/3 = y

Step 4: Rewrite

y = 4x - 32/3

Step 5: Find x-int

0 = 4x - 32/3

32/3 = 4x

x = 8/3

(8/3, 0)

Step 6: Find y-int

y = 4(0) - 32/3

y = 0 - 32/3

y = -32/3

(0, -32/3)

Answer:

An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.

Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.

Answer:

Option 3

Step-by-step explanation:

It is the only one that increases by 8 just like the pattern

Answer: C. 40,48,56

Step-by-step explanation:

As seen in the sequence, 16, 24, 32

24-16=8

32-24=8

This means that between each term, you just add 8 to get the next term

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

32+8=40

40+8=48

48+8=56

Hope this helps!! :)

Please let me know if you have any question

Answer:

5000

Step-by-step explanation:

the answer is 5000 because the third power to ten is 1000 and since 5x10= 50 you just have to make it a thousand so, 5000

Answer:5000

Step-by-step explanation: take notes

Answer:

4 and the correct answer is 34

Step-by-step explanation:

choice c or 4; correct solution is 34 :)

hope this helps :)

Answer:

9.43%

Step-by-step explanation:

Divide the Chips Ahoy sales by the total sales, then multiply by 100

(294.6/3,124) x 100

= 9.43%

So, 9.43% of the total cookie sales were from Chips Ahoy

From the set 12345 which values make the inequality n+1>4true?

Answer:

i am doing online school

Step-by-step explanation:

Answer:

I've got online school full time for at least my first quarter but I think we'll be in online for more than half the year.

Answer:

The percentage increase in A is 44%. The percentage increase in V is 72.8%.

Step-by-step explanation:

The easiest way to go about solving this problem is to pick your own numbers and plug them into the given equations.

For example, let's say that k = 5 and that r = 10.

[tex]A=kr^{2}[/tex]  ⇒ [tex]A= 5 * 10^{2} =500[/tex]

[tex]V=kr^{3}[/tex] ⇒ [tex]V= 5 * 10^{3}= 5000[/tex]

The question is asking, what is the percentage increase if r is increased by 20%. Our chosen k-value will stay the same but our r-value is going to increase. To find the new value of r, we multiply 10, our current value of r, by 1.2. This gives us a new value for r, which is 12.

[tex]10*1.2=12[/tex]

Now, we are going to plug in our new r-value and our k-value into the given equations. k = 5; new r = 12

[tex]A=kr^{2}[/tex] ⇒ [tex]A=5*12^{2}=720[/tex]

[tex]V=kr^{3}[/tex] ⇒ [tex]V=5*12^{3}=8640[/tex]

Next, we have to calculate the percentage increase in our values of A and V. To do this, we use the following formula:

[tex]Percentage Increase = \frac{final - initial}{initial} * 100[/tex]

Percentage Increase for A

Initial value: 500

Final Value: 720

[tex]Percentage Increase = \frac{720-500}{500} * 100 = 44%[/tex]

Percentage Increase for V

Initial value: 5000

Final Value: 8640

[tex]Percentage Increase= \frac{8640-5000}{5000} *100 = 72.8%[/tex]

The percentage increase for A is 44% and the percentage increase for V is 72.8%.

Hope this helps!

Answer:

mai is correct

Step-by-step explanation:

a quadrilateral with four congruent sides is never a regular polygon it is a rhombus. hope this helps!

A regular polygon has four congruent sides and four congruent angles.

I do not agree with any of them, because both arguments are incorrect

For a polygon to be a regular polygon, the following conditions must be met

Some quadrilaterals with four congruent sides are:

Rhombus, Kite, Square, etc.

A rhombus has four congruent sides, but all four angles are not congruent.

This means that Diego's argument is incorrect

All sides and angles of a square are congruent.

Because Mai says such polygons can never be a regular polygon, then Mai's argument is also wrong.

Hence, I do not agree with any of them.

Read more about polygons at:

https://brainly.com/question/15941789

[tex]18d-2m+9k[/tex] < [tex]5k+10[/tex]

[tex]18d-2m[/tex] < [tex]-4k +10[/tex]

[tex]-2m[/tex] < [tex]-4k +10 -18d[/tex]

[tex]m[/tex]  > [tex]\frac{-4k+10-18d}{-2}[/tex] (flipped the sign because we're dividing by a negative)

[tex]m[/tex]  > [tex]2k+5+9d[/tex]

Answer:

m > 2k + 9d- 5