Angad, Gavin & Nick share some money in the ratio 3 : 4 : 1. In total, Angad and Nick receive £32. How much does Gavin get?

Step-by-step explanation:

= 6x² - 11x - 10

= 6x² + 4x - 15x - 10

= 2x (3x + 2) - 5 (3x + 2)

= (2x - 5) (3x + 2)

x = 5/2 & -2/3

Answer:B

Step-by-step explanation: 113,000 - 71,500 = 41,500

Answer:

7

Step-by-step explanation:

A number multiplied with a variable is considered a coefficient. In this case, the coefficient is 7 because it is multiplied by the variable m.

Answer:

7

Step-by-step explanation:

The coefficient is the number that comes before the variable- in this case, x.

6 would be the constant

Answer:

D 10

Step-by-step explanation:

10 x 10 = 100

100/10 = 10

10 is a perfect square

The area of this hexagon that has been divided into six congruent triangles will be 168 cm².

A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry.

Types of Hexagons

1. Regular Hexagon ⇒ It is a regular hexagon when the lengths of all the sides and the measures of all the angles are equal.

2. Irregular Hexagon ⇒ The length of the sides and the measure of the angles are not equal in an irregular hexagon.

Given that hexagon with a side of 7cm and the height of each triangle is 8cm.

Area of one triangle = (1/2)× base × height

⇒   (1/2) × 7 × 8

⇒ 28 cm²

Now the area of the complete hexagon is 28 × 6 = 168 cm² hence, the area of the given hexagon will be  168 cm².

For more about hexagon

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Answer:

i would say the answer is 125

Answer:

Here,

<1 = 120° [linear pair]

<2 = 60° [Vertically Opposite Angles]

<3 = 90° [linear pair]

<4 = 90° [Vertically Opposite Angles]

<5 = 30° [Angle sum property of triangle]

<6 = 150° [linear pair of <5]

Answer:

x = 54°

Step-by-step explanation:

90° = 2x-18°

90° + 18° = 2x

108° = 2x

x = 54°

Answer:

x = 54

Step-by-step explanation:

The two angles added together equal 90 degrees because they are  complementary angles.

x - 18 + x = 90

Combine like terms

2x - 18 = 90

add 18 to both sides

2x = 108

Divide each side by 2

x = 54

Fill in for x

54 - 18 + 54 = 90

36 + 54 = 90

90 = 90

This proves that the answer is true.

Answer:

29

Step-by-step explanation:

Tbh, I don't really have an explanation because I don't really know how to explain it

Answer:

9

Step-by-step explanation:

check the picture

i just hope that helped i in some ways..

thanks

Answer: x = 14

Step-by-step explanation:

Combine like terms

95+15 = 110

X + 4x = 5x

Set up equation

110 + 5x = 180

Subtract

110-110 + 5x = 180-110 = 70

Divide

5/5x = 70/5 = 14

Answer

X = 14

Answer:

your welcome

Step-by-step explanation: its 6(10)+180=5x

A is the Answer

Step-by-step explanation:

Have a good day

Answer:

2 pounds of dried fruit

Step-by-step explanation:

James bought of a pound of dried cherries and of a pound of dried cranberries. How much dried fruit did he buy? [Write your answer in simplest form.]

The total amount of dried fruit that he bought is calculated as:

1 pound of dried cherries + 1 pound of dried cranberries

= 2 pounds of dried fruit

Therefore, the total amount of dried fruit that James bought is 2 pounds of dried fruit.

Answer:

72.5

Step-by-step explanation:

Answer:

[tex]\frac{1}{10x}[/tex]

Step-by-step explanation:

[tex]\frac{2x^{6} }{20x^{7} } = \frac{x^{6} }{10x^{7} } \\\\=\frac{1}{10x}[/tex]

Answer:

The cost of producing 60 t-shirts is $495.

36 t-shirts will let the cost, C(x) = 303

Step-by-step explanation:

If we producing 60 t-shirts, then we plug in 60 for the x, which x represents t-shirts for the marching band.

C(x) = 8x + 15

C(x) = 8(60) + 15

C(x) = 480 + 15

C(x) = 495

If the cost of the t-shirts is 303, we plug in 303 for the cost,C(x).

C(x) = 8x + 15

303 = 8x + 15

288 = 8x

x = 36

Answer:

Diego

Step-by-step explanation:

In math, congruent means two figures that have the same shape and size.

Answer:

y=2x+8.5

Step-by-step explanation:

the equation for the table is y=2x+7

i picked two ordered pairs to find the rate

(13-9)/(3-1) = 2

2 is the rate

9514 1404 393

Answer:

Step-by-step explanation:

If all 100 coins were dimes, the value would be $10.00. Each dime traded for a quarter adds $0.15 to the value.

The actual value of the coins is $10.15 -10.00 = $0.15 more than it would be for all dimes. This indicates 1 dime has been traded for a quarter.

There are 99 times and 1 quarter.

Answer: 98*

Alternate exterior angles are equal

Answer: 98 degrees

Step-by-step explanation:

98 degrees and x are alternate exterior angles.

Answer:

q = 80

Step-by-step explanation:

Here, we want to get the value of w

Mathematically, we can obtain the cumulative frequency from the frequency tab

To do this, we have to sum up the frequencies at each point to get the cumulative at each point

We add the frequency above to the frequency below to get the value of the cumulative frequency at that point

We have it that;

we start with 10: as seen on the frequency column

then we proceed;

10 + 20 = 30

30 + 30 = 60

60 + 20 = 80

80 + 10 = 90

90 + 10 = 100

As we can see here, the value of q is 80

Answer: (2,-1)

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

9 + (-5) / 2 = 2

3 + (-5) / 2 = -1

Answer:

Recorders= $6

Harmonics= $8

Step-by-step explanation:

Answer:

the first one because

y= 180 -110=70

Step-by-step explanation:

Answer:

sin J = [tex]\frac{15}{29}[/tex]

cos J = [tex]\frac{21}{29}[/tex]

tan J = [tex]\frac{5}{7}[/tex]

x = 14.6

Step-by-step explanation:

1st pic:

1st, find the missing side lenght:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 58^{2} - 42^{2}[/tex]

[tex]a^{2} = 3364 - 1764[/tex]

[tex]\sqrt{a^{2}} = \sqrt{1600}[/tex]

a = 40

sin = [tex]\frac{opposite}{hypothenuse}[/tex] ⇒ [tex]sin J = \frac{30}{58} = \frac{15}{29}[/tex]

cos = [tex]\frac{adjacent}{hypothenuse}[/tex] ⇒ [tex]cosJ = \frac{42}{58} = \frac{21}{29}[/tex]

tan = [tex]\frac{opposite}{adjacent}[/tex] ⇒[tex]tanJ = \frac{30}{42} = \frac{5}{7}[/tex]

2nd pic:

use sine:

sin = [tex]\frac{opposite}{hypothenuse}[/tex]  

sine 59 = [tex]\frac{x}{17}[/tex]

sine of 59 is 0.857:

0.857 = [tex]\frac{x}{17}[/tex]

multiply 17 on both sides:

0.857 x 17 = [tex]\frac{x}{17}[/tex] x 17

14.569 = x

round to the nearest tenth:

14.569 = 14.6

Answer:

1. y=4

y=x+7

4=x+7

x= -3 , y= 4

2. y=3x

y=x+5

3x=x+5

2x=5

x=5/2 or 2.5

y= 3(5/2)

y= 15/2 or 7.5

x= 2.5, 7= 7.5

Answer:

1. x= -3           2. x= 5/2

Step-by-step explanation:

You need to substitute the second y equation given into the first one to find x. Then get x by itself on one side.

1. 4= x + 7

  -7       -7

  -3 = x

  x= -3

2. 3x= x + 5

   -x    -x

   2x= 5

  (2x= 5) /2

   x= 5/2

The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

In this question we must look for all points where each curve intersects each other. By direct inspection on figure given, we conclude that [tex]f(x) = g(x)[/tex] happens in thrice: (i) [tex](x,y) = (0, 0)[/tex], (ii) [tex](x,y) = (0.256, 0.505)[/tex], (iii) [tex](x,y) = (2.285, 1.512)[/tex]

Hence, the values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

To learn more on solving equations, we kindly invite to check this verified question: https://brainly.com/question/11897796

Answer:

a

Step-by-step explanation:

hope this helps :)

Answer:

A

Step-by-step explanation: