What number solves this propoetion? 2.4/m=3/4.5

Answers

Answer 1

Answer: $\frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \n \n \frac { 4.5 }{ 3 } \cdot m\cdot \frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \cdot m\cdot \frac { 4.5 }{ 3 } \n \n m=\frac { \left( 4.5 \right) \left( 2.4 \right) }{ 3 } \n \n m=\frac { \left( 4+\frac { 1 }{ 2 } \right) \left( 2+\frac { 2 }{ 5 } \right) }{ 3 }$

$\n \n m=\frac { 8+\frac { 8 }{ 5 } +1+\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { 9+\frac { 16 }{ 10 } +\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { \frac { 90 }{ 10 } +\frac { 18 }{ 10 } }{ 3 }$

$\n \n m=\frac { \frac { 108 }{ 10 } }{ 3 } \n \n m=\frac { 108 }{ 10 } \cdot \frac { 1 }{ 3 } \n \n m=\frac { 108 }{ 30 } \n \n m=\frac { 3\cdot 36 }{ 3\cdot 10 } \n \n m=\frac { 36 }{ 10 } \n \n m=3.6$

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What is the slope of a line passing through the points (2, 5)(2, 5) and (0, −4)(0, −4) ?

Answers

Slope between (2, 5) and (0, -4), x₁ = 2, y₁ = 5 x₂ = 0, y₂ = -4

Slope = (y₂ - y₁) / (x₂ - x₁) = (-4 - 5) / (0 - 2) = -9/-2 =9/2 = 4.5

Slope = 9/2 = 4.5

Hope this helps.

The gradient (or the slope) would be 9/2.

Alex and Ben were given a total of £360 they shared the money in the ratio 5:7 Ben received more money then Alex.how much more?

Answers

first
360 divided by 12=30
alex got=30 multiply 5=150
ben got=30 x 7 =210
so ben got 60 more than alex

5:7 means that Alex got 5/12 of the whole amount and Ben 7/12.
(5/12)•360=150
(7/12)•360= 210
210-150=60
Ben received £60 more than Alex.
Hope it helps :)

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first 4 terms of the series

Answers

Answer with Explanation:

It is given that infinite geometric series with a beginning value of 2 , converges to 10.

Let a be the common ratio of geometric series.Where ,a<1.

Sum to infinity of a geometric series

$(a)/(1-r) for, r<1 or (a)/(r-1), for r>1.$

$2+2a+2a^2+2a^3+2a^4+.............{\text{to infinity}}=10\n\n (2)/(1-a)=10\n\n 1-a=(2)/(10)\n\n 1-(1)/(5)=a\n\na=(4)/(5)$

First four terms of geometric series

$2, 2*(4)/(5),2*((4)/(5))^2,2*((4)/(5))^3,2*((4)/(5))^4.\n\n2, (8)/(5),(32)/(25),(128)/(125),(512)/(625)$

Please help . I’m giving 75 points.

Answers

Answer:

-9x2- 7z+2

Step-by-step explanation:

4+3z-10z-13+2

-9x^2-7z+2

Answer:

-9 $x^(2)$ -7z+2

Step-by-step explanation:

4 $x^(2)$ +3z-10z-13 $x^(2)$ +2

-9x^2-7z+2

What is the value of y2 – x4 when y = 9 and 2 =2?

Answers

Answer:

Not sure how the question goes.

Step-by-step explanation:

2Y - 4X

2(9) - 4(2) = 18 - 8 = 10

Y^2 - X^4

(9)^2 - (2)^4 = 81 - 16 = 65

y2-x4

to solve this u need to place the variables for the given value

y= 9

x=2

(9)2-(2)4

9 times 2 is 18

2 times 4 is 8

18-8=10

or if it is

y^2-x^4

9^2- (2)^4

9^2=81

2^4=16

81-16 = 65

Which statement about 4x2 + 19x – 5 is true? One of the factors is (x – 4). One of the factors is (4x + 1). One of the factors is (4x – 5). One of the factors is (x + 5).

Answers

Answer:

Only "One of the factors is (x + 5)." is TRUE.

Step-by-step explanation:

What makes $(x-4)$ equal to 0?

$x-4=0\nx=4$

What makes $(4x+1)$ equal to 0?

$4x+1=0\n4x=-1\nx=-(1)/(4)$

What makes $(4x-5)$ equal to 0?

$4x-5=0\n4x=5\nx=(5)/(4)$

What makes $(x+5)$ equal to 0?

$x+5=0\nx=-5$

Note: Putting all those 4 values into the function $4x^(2)+19x-5$ , whichever value makes the function equal to 0, the corresponding expression would be considered a factor of the function $4x^2+19x-5$ .

Putting $x=4$ into $4x^(2)+19x-5$ gives us:

$4(4)^(2)+19(4)-5\n=135$

Putting $x=-(1)/(4)$ into $4x^(2)+19x-5$ gives us:

$4(-(1)/(4))^(2)+19(-(1)/(4))-5\n=-(19)/(2)$

Putting $x=(5)/(4)$ into $4x^(2)+19x-5$ gives us:

$4((5)/(4))^(2)+19((5)/(4))-5\n=25$

Putting $x=-5$ into $4x^(2)+19x-5$ gives us:

$4(-5)^(2)+19(-5)-5\n=0$

As we can see, only putting $x=-5$ in the function gives us a value of 0. So the corresponding expression $(x+5)$ is a factor of the function.

$4 x^(2) + 19x - 5 \n \n 4 x^(2) + 20x - x - 5 \n \n 4x(x + 5)-(x + 5) \n \n (x + 5)(4x - 1)$

The answer is D) one of the factors of (x + 5). Why?

(x - 4) is not one of the factors.
(4x + 1) is not one of the factors.
(4x - 5) is not one of the factors.
(x + 5) IS one of the factors.

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