solve the following simultaneous equations 5x+7y = 17 ; 7x+5y = 19
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Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9

Answer:

i like both of them

Step-by-step explanation:

Answer:

6:2

Step-by-step explanation:

X share from old ratio is 1/2

Y share from old ratio is 1/3

Z share from old ratio is 1/6

Now, we are told Y retires and that X and Z purchase his shares.

Thus;

Amount X took from Y = 1/2 × 1/3 = 1/6

Amount Z took from Y = 1/6 × 1/3 = 1/18

Thus, new share of X is now; 1/6 + 1/2 = 2/3

New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9

Ratio is now X:Z = 2/3 : 2/9 = 6:2

Answer: 3x=60

Step-by-step explanation:

12x-20=10x+20

X=20

3(20)= 60

Answer:

the answer will be

50

Step-by-step explanation:

5 x 10= 50

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(NegativeA) + (PositiveA) = 0

Note for future reference:

(NegativeA) + (PositiveB) = (NegativeC)

(PositiveA) + (NegativeB) = (NegativeC)

(NegativeA) + (NegativeB) = (NegativeC)

(PositiveA) + (PositiveB) = (PositiveC)

Answer:

x= {-29}

Step-by-step explanation:

.....................................

Answer:

 C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2*radius

Answer:4

Step-by-step explanation:

2*2=4

Answer:

6.7491, 6.7524, 6.7463

Step-by-step explanation:

Answer:

E = 80 degrees

Step-by-step explanation:

7x + 3 + x + 15 + 74degrees = 180

8x + 92 = 180

8x = 180 - 92

8x = 88

x=11

m<E = 7x + 3

7(11) + 3

77 + 3

= 80

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

Answer:

1120

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

subtract 83 from both sides geet q=42

Answer:

It's 8

Step-by-step explanation:

You can see that the second triangle is three times the size as the first so you divde the same side on the second triangle by 3

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

Domain: [tex]x\leq 2[/tex]

Range: (∞,0)

Step-by-step explanation:

Answer:

i think its 21.90

Step-by-step explanation:

i did the math

Answer:

You first plot the point (0,2), then when the x-value of the graph increases by 3, decrease the y-value of the graph by 1, and when the x-value o the graph decreases by 3, increase the y-value of the graph by 1.

Step-by-step explanation:

The equation would be [tex]y = -\frac{1}{3}x+2[/tex]. To graph it, you first need to find the y-intercept, which is the coordinate on the line when the x-value equals 0. If x = 0, [tex]y = -\frac{1}{3}x+2[/tex] would become [tex]y = 2[/tex] since anything multiplied by 0 would become 0. Now you've located the y-intercept, which is (0, 2). The slope of a line is the coefficient of the variable x. Since the slope is a negative number, the line will go downwards as it increases its x-value and goes upward as it decreases its x-value. A slope of [tex]-\frac{1}{3}[/tex] would mean that when the x-value increases by 3, the line's y-value will decrease by 1. And when the x-value decreases by 3, the line's y-value will increase by 1. An x-value increase of 6 would be a decrease of 2, and so on. Two other obvious points on the line would be (6,0) and (3, 1).

Answer:

HN congruent to NL

Step-by-step explanation:

They have a line crossing both of them, signifiying congruence.

Step-by-step explanation:

y = 4x+3

2x-3y = 21

2x -3(4x+3) = 21

2x -12x -9 = 21

-10x = 21 + 9

-10x = 30

x = -3

Answer:

We conclude that the solution is:

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

Answer: 60 m

Step-by-step explanation:

The park is said to be square which means that all of its sides are equal.

If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.

Perimeter of a square:

= 4 * length

= 4 * 15

= 60 m

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

Answer:

Step-by-step explanation:

outer area=

first need to find the circumference of outer diameter

= π×4.8

= 15.079644.... cm

to find the outer curved area you would then do

= 77×15.079644

(ii) =1161.13264 cm²

inner curve area

circumference= π×4

=12.5663706.... cm

77×12.5663706

(i) =967.610537 cm²

total surface area=

as the outer and inner curved areas are already found only the top and bottom surfaces need to be

= area of larger circle

=π×4.8²

=72.382294.... cm²

smaller circle

=π×4²

=50.2654824.... cm²

72.382...-50.265

=22.1168116 x 2

=44.2336232 cm²

total surface area

(iii)= 2172.9768 cm²

(round this to however many decimals you need)

I hope this is understandable and useful!

also how many marks is this for?

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

Given the pattern

[tex]15,11,7,3,-1,...[/tex]

computing the differences of all the adjacent terms

[tex]11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4[/tex]

The difference between all the adjacent terms of the pattern is the same which is

[tex]d=-4[/tex]

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

4 + x + 3x = 4 ( 5x ) - 3 ( x ) - 10

4 + x + 3x = 4 + 5x - 3 + x - 10

x + 3x + 5x + x = 4 + 4 - 3 - 10

10x = 21

10x % 10 = 21 % 10

x = 2,1