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3 years ago

1. A line segment on a number line has its endpoonts at -9 and 6. Find the coordinate of the midpoint of the segment.

2 answers:

6 0

Hello There!

1. It would be B. -1.5
2. It would be A. (3.1)
3. It would be C. 12.2
4. It would be A. 165.

Hope This Helps You!
Good Luck :)

Salsk061 [2.6K]3 years ago

3 0

1- 1.5 2-(3,1) 3- 2.2 4- 165

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Solve the system using substitution: y + 8x = 10 and 2y - 4x = 40

exis [7]

Answer:

Hence x = -1 and y = 18

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

Hence x = -1 and y = 18

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2 years ago

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

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2 years ago

for every 5 coins carmen gets, she gives 2 to her brother frank. if carmen has 9 coins, how many does frank have?

Sphinxa [80]

Carmen has given 6 coins to her brother

3 0

2 years ago

If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2

kramer

Answer:

Step-by-step explanation:

Here it's given that ,

$\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}$

Also ,

$\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}$

And we need to find out the value of A , when

a = 3
b = 4
c = 5

So , on substituting the respective values to find s we have ,

$\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}$

Now let's find out A as ,

$\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\$

$\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\$

$\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\$

$\sf\red{\longrightarrow}A = 3*2\\$

$\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}$

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1 year ago

Simplify the following: (9x - 7) - (5x + 10)

lianna [129]

(9x - 7) - (5x + 10 )
2x - 15x
- 13x

7 0

3 years ago