Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?

Answer:

x=12/5

Step-by-step explanation:

2(2.5x+8)=26

5x+14=26

5x=12

x=12/5

Answer:

The value of [tex]x[/tex]:

[tex]x = 2[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

[tex]2.5x + 8 = \frac{26}{2}[/tex]

-Divide [tex]26[/tex] by [tex]2[/tex]:

[tex]2.5x + 8 = \frac{26}{2}[/tex]

[tex]2.5x + 8 = 13[/tex]

-Subtract both sides by [tex]8[/tex]:

[tex]2.5x + 8 - 8 = 13 - 8[/tex]

[tex]2.5x = 5[/tex]

-Divide both sides by [tex]2.5[/tex]:

[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]

Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:

[tex]\frac{5}{2.5} = 2[/tex]

[tex]x = \frac{50}{25}[/tex]

Then, you divide [tex]50[/tex] by [tex]25[/tex]:

[tex]x = \frac{50}{25}[/tex]

[tex]x = 2[/tex]

So, the final answer would be [tex]x = 2[/tex] .

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

Answer:

Step-by-step explanation:

[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

Answer:

(5,0) and (-2,0)

Step-by-step explanation:

In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.

Answer:

you cant answer it you have no choice to pick cuz you didnt put dem

Step-by-step explanation:

Answer:

r = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6

Answer:

It is b

Step-by-step explanation:

Hope it helps

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Answer:

i hope this helps you

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

Answer:

120 - x - 9 past 10am

Step-by-step explanation:

Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.

Answer:

The Answer is 120 - x - 9 past 10am

Step-by-step explanation:

Hope this helps. :,-)

Answer:

If you're going to the left, 1, if you're going to the right 3.

If you meant to write -2, then to the left -3 and to the right =-1

<-------------------------------------------------------------->

    -3        -2        -1        0      1          2        3

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]

Solution; Probability = ( About ) 0.2603

Answer:

hope this helps you

Answer:

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Step-by-step explanation:

Explanation:-

Now we will applying below rules

Type of transformations                 change to co-ordinate point

vertical translation up 'd' units                 (x,y)→(x, y+d)

vertical translation down 'd' units            (x,y)→(x, y-d)

Horizontal translation left 'C' units            (x,y)→(x-c, y)

Horizontal translation right 'C' units           (x,y)→(x+c, y)

Now we will apply rule is

first Horizontal translation right 'C' units  and  vertical translation up 'd' units    

Given E( -3 ,4 ), F(-5 ,1) and G(1,1)

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

and it translated  E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

                           F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

                           G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Answer:C, The answer is the third option

Answer:

7.) (m+4)(m-16)

8.) Area= 3x^3-5x^2+7x+3

Step-by-step explanation:

7.) m^2-12m-64

=(m^2+4m)+(-16m-64)

=m(m+4)-16(m+4)

=(m+4)(m-16)

8.) Area = L(W)

x^2-2x+3(3x+1)

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

=3x^3+x^2-6x^2-2x+9x+3

=3x^3-5x^2-2x+9x+3

=3x^3-5x^2+7x+3

Answer:

65.60

Step-by-step explanation:

First find the markdown

markdown = original price times the percent markdown

                  = 80* 18%

                  = 80 * .18

                     14.4

Take the markdown from the original price to find the retail price

80-14.4 =65.60

Answer:

10 and 2

Step-by-step explanation:

[tex]10*2=20\\\\10+2=12[/tex]

Answer:

10 and 2

Step-by-step explanation:

Use trial and error method Or, I recommend finding the factors of 20.

The first ones that come to mid would be:

10, 2

4,5

20,1

Then we try each of them out, by adding the corresponding factors.

this way, we see that 10 and 2 are the only ones.

Please mark brainiest

Answer:

Length of AC segment=10 units

Step-by-step explanation:

We are given that AB and DA are radius of circle.

BC and DC are tangents of circle which intersect at point C.

AB=8 units

BC=6 units

Angle CAD=37 degree

We know that radius is always perpendicular to the tangent.

Therefore, AB is perpendicular to BC.

Using Pythagoras theorem

[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC^2=8^2+6^2=100[/tex]

[tex]AC=\sqrt{100}=10 units[/tex]

Answer:

a.) 10 units

Step-by-step explanation:

correct on edg.

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

Answer:

[tex]y\geq x[/tex]

Step-by-step explanation:

Again, let us begin by finding the equation of the line

The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]

We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.

This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.

This means that our answer would be [tex]y\geq x[/tex]

6 × 7 = 42 because       area = length × width    

Answer:

237 in binary is 0b11101101

Please see the attached picture for full solution

hope it helps....

Good luck on your assignment

Answer:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

Step-by-step Explanation:

To find the expressions that are equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

let's simplify each of the options given to know if we would arrive at

[tex] \sqrt{1,120y^{3} } [/tex]

Option 1:

[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]

[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]

[tex] \sqrt{8*10*7*y^{2} } [/tex]

[tex] \sqrt{560y^{2} } [/tex]

Not equivalent to the given expression.

Option 2:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]

[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]

[tex] 8*5*7*y*y [/tex]

[tex] 280y^{2} [/tex]

Not equivalent to the given expression.

Option 3:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]

[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]

[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent.

Option 4:

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent to the given expression.

Option 5:

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} * 70 * y} [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

Answer:C D E

Step-by-step explanation:

Just did the test

Answer:

she'll have $9800

Step-by-step explanation:

35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)

1400 times 7 (how many months) is 9800

Jacqui have earned $9800 after she’s worked 7 months.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Jacqui makes $35 an hour working as an accounting assistant.

She works 40 hours each month.

Here, number of hours she worked in 7 months

= 40×7

= 280 hours

Total money = 280×35

= $9800

Therefore, Jacqui have earned $9800 after she’s worked 7 months.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ7

Answer:

<1 = 119

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

<1 = 57+62

<1 = 119

Answer:

119

Step-by-step explanation: