As an estimation we are told £3 is €4.
Convert €28 to pounds.

Answer:

<ABC = 68degrees

Step-by-step explanation:

From the diagram, the measure of the given angles are supplementary;

9x+5 + 16x = 180

25x = 180 - 5

25x = 175

x = 175/25

x = 7

<ABC = 9x +5

<ABC = 9(7)+5

<ABC = 63 + 5

<ABC = 68degrees

Answer:

So, in 4 hours , 3 operators makes 6 articles.

Step-by-step explanation:

In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?

In 1 hour 4 operator makes 10/5 = 2 articles

In 1 hour , 1 operator makes = 2/4 = 0.5 article

So,

In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles

In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

I hope this helps! Let me know if you have any questions :)

Answer:

6x +18

Step-by-step explanation:

6(x + 3)

Distribute

6*x + 6*3

6x +18

Answer:

6x + 18

Step-by-step explanation:

Given

6(x + 3) ← multiply each term in the parenthesis by 6

= 6x + 18

Answer: (0,-5), (5, 0), (10, 5) and (15,10).

Step-by-step explanation:

Given equation: [tex]y = x + 5[/tex]

To find its inverse we will find the value of x .

Subtract 5 from both sides

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

Switch y to x, we get

y= x-5, which is the inverse function.

At x=0,

y=-5

At x= 5,

y=0

At x= 10 ,

y=5

At x= 15,

y= 10

Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).

Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are:  (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).

The given equation is,

y = x+5

To find its inverse fucntion,

Replace x with y we get.

x = y + 5

Rearranging it,

y = x - 5

So this is the inverse fucntion.

Since this is of the form of line y = mx + c

Therefore,

To find the points containing contained by inverse fucntion,

Graphing: y = x - 5

After graphing we can see that,

The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.

Hence the required four points are:

(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)

#SPJ6

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

Answer:

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

Explanation:

Point N is at (1,3)

We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

Answer:

235cm longer

Step-by-step explanation:

convert 6m into centimeters which gets you 600cm so you do this:

600 - 435= 235cm

therefore the garage is 235cm longer than the car.

Answer:

600-435 = 165 cm the garage 165 cm is longer than the car

Answer:

option C , D , E

Step-by-step explanation:

[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]

Answer:

1/2, 1/10, 1/8

Answer:

I think it is the first one

Step-by-step explanation:

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

Answer:

[tex]y=\frac{3}{2} x-11[[/tex]

Step-by-step explanation:

[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

Answer:

8

Hope this answer is right!!

Explanation:

Given, a×b=a^b=2 ×3

=2^3

=8

So, the value of 2 ×3 =8.

Answer:

786.6

Step-by-step explanation:

Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8

6.6 + 780

786.6

Answer:

786.6

Step-by-step explanation:

Problem:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 1 - Parenthesis:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 2 - Exponents(Left to Right):

(6.6 × 10^0) + (7.8 × 10^2)​ = (6.6 × 1) + (7.8 × 100)

Step 3 - Multiply(Left to Right):

(6.6 × 1) + (7.8 × 100) = 6.6 + 780

Step 4 - Add(Left to Right)

6.6 + 780 = 786.6

Step 5 - Answer:

786.6

Parenthesis

Exponents(Left to Right)

Multiplication(Left to Right)

Division(Left to Right)

Addition(Left to Right)

Subtraction(Left to Right)

Answer:

This is correct.

Step-by-step explanation:

Answer:

Yes...You are right... hope it helps

Answer:

27.C

29.B

Step-by-step explanation:

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

Answer:

z = [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]

[tex](5^2)^{z-4}[/tex] = 5³

[tex]5^{2z-8}[/tex] = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = [tex]\frac{11}{2}[/tex] ( = 5.5 )

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Answer:

14

Step-by-step explanation:

To find the other number , divide -112 by -8 and you will get 14.

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

Answer:

$87.50

Step-by-step explanation:

If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.

(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)

Let's say Jill got the 1 portion, she gets $12.50.

Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50

The amount Alex got is £12.5.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Alex and Jill share £100 in a ratio of 1:7.

Total ratio = 8x

So,

Alex = 1x

Amount = 1x/8x x 100 = £12.5

Jill = 7x

Amount = 7x/8x x 100 = £87.5

Thus,

Alex got £12.5.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

1,002,014

Step-by-step explanation:

Answer:

a) 2, -1

Step-by-step explanation:

3x + 2y = 4

2y = 4 - 3x

y = 2 - 3x/2

2x - 3y = 7

2x - 3×(2 - 3x/2) = 7

2x - 6 + 9x/2 = 7

4x/2 + 9x/2 = 13

13x/2 = 13

13x = 26

x = 2

3×2 + 2y = 4

6 + 2y = 4

3 + y = 2

y = -1

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

Answer:

Step-by-step explanation:

(x - 3)(x + 6)

=x(x + 6) -3(x + 6)

=x*x + x*6 - 3*x - 3*6

=x^2 + 6x - 3x - 18

=x^2 + 3x - 18

[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](x - 3)(x + 6)[/tex]

➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]

➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]

➼ [tex] \: {x}^{2} +3x - 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]