MATHEMATICS MIDDLE SCHOOL

Help with this question please1

Answers

Answer 1

Answer:

Answer:

(-2,8)

Step-by-step explanation:

3x+3y = 18

2x+y = 4

Multiply the second equation by -3

-3(2x+y) = -3*4

-6x-3y = -12

Add this to the first equation

3x+3y = 18

-6x-3y = -12

-------------------------

-3x = 6

Divide each side by -3

-3x/-3 = 6/-3

x = -2

Now solve for y

2x+y = 4

2(-2) +y = 4

-4+y =4

Add 4 to each side

-4+4+y = 4+4

y =8

Answer 2

Answer:

(-2,8)

Step-by-step explanation:

3x + 3y = 18 (1)

2x + y = 4 (2)

(1) - 3(2)

3x + 3y = 18

-(6x + 3y = 12)

-3x = 6

x = -2

Using (2)

2(-2) + y = 4

-4 + y = 4

y = 8

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3. A rectangle has width 2x and length 2x+4.2x metres(2x + 4) metresa) Find an expression for the perimeter of this rectangle.b) Find the value of x if the perimeter is 240 metres.c) Find the length and the width.4.a) Write an expression for the perimeter of the rectangle.(x - 2) cm(3x + 4) cmb) Simplify the expression.c) What is the perimeter when x = 5?d) What is the value of x when the perimeter is 60 cm?e) What are the dimensions of the rectangle when the perimeter is 60 cm?
T is to 9 as 7 is to 39
Absolute Value 8+|3y - 5|=15
Which equations have a negative solution?Choose all answers that are correct.A. -w/2=11B. -1/6x=-3C.-4=v/(-10)D. -3/4 2=8
How do I write a proof in geometry?

Is 3/8 greater than less than or equal to 3/4

Answers

First, we will find a common denominator to both terms. The common denominator is 8
3/4 is equivalent to 6/8

Now, we have the two terms 3/8 and 6/8
Since the denominators are equal, therefore, we will just compare the numerators.
We will find that:
6/8 is greater than 3/8

This means that 3/8 is less than 3/4

Rewrite using the Distributive Property.-6(2x + 7)

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Answers

Answer:

-12x - 42.

Step-by-step explanation:

-6 * 2x - 6 * 7

Now, multiply -6 by 2x and -6 by 7:

-12x - 42

So, the simplified expression is -12x - 42.

Answer: -12x - 42

Step-by-step explanation:

First, -6(2x) is -12x then -6(7) is -42

That makes -12x - 42

What property would you use to solve m + 6 = -4?

Answers

Answer:

$m = - 10$

Step-by-step explanation:

$m + 6 = -4 \n m = - 4 - 6 \n m = - 10$

M+6=-4
-6 -6 Subtraction property
M= -10

The second angle in a triangle is one third as the first. The third angle is two thirds as large as the first angle. Plz find the angle measures (plz show work). Thanks for your help.

Answers

So,

We know that the sum of the angles in a triangle will always equal 180°.

x + y + z = 180

$y= (1)/(3)x$

$z= (2)/(3) x$

We can substitute 1/3x for y and 2/3x for z in the first equation.

$x+ (1)/(3) x+ (2)/(3)x=180$

Collect Like Terms.
2x = 180

Divide both sides by 2.
x = 90

Substitute in the second equation.

$y= (1)/(3)(90)$

y = 30

Substitute in the third equation.

$z= (2)/(3) (90)$

z = 60

Let's check our values.

x = 90
y = 30
z = 60

x + y + z = 180?

90 + 30 + 60 = 180?

90 + 90 = 180?

180 = 180 YES!

This checks.

The first angle is 90°, the second angle is 30°, and the third angle is 60°.

The half-life of carbon-14 is 5,730 years. How many grams of parent material will remain from a 120-gram sample of carbon-14 after 2 half-lives?90

60

30

15

Answers

$t_{(1)/(2)}=5730\n N_0=120\ g\n t=2t_{(1)/(2)}=2\cdot5730=11460\n N(t)=?\n\n N(t)=N_0\left((1)/(2)\right)^{\frac{t}{t_{(1)/(2)}}}\n N(11460)=120\cdot\left((1)/(2)\right)^{(11460)/(5730)}\n N(11460)=120\cdot\left((1)/(2)\right)^2\n N(11460)=120\cdot(1)/(4)\n N(11460)=30\ g$

After one half-life . . . 1/2 of the total parent material

After another half-life . . . 1/2 of the half remains = 1/4 of the total original parent

If the original parent is 120 grams, then (1/4 x 20) = 30 grams remains
after 2 half-lives. It makes no difference what the substance is, or
how long its half-life is.

Find the volume of the composite figure. please!

Answers

Volume= Length * width ( aka Base ) * height

Break up the figure into easier figures, a small square and a bigger square.

Small square- 3*2*1 = 6 cm

Large Square- 7*6*1 = 42 cm

42 + 6 = 48 cm. But wait! You have to take one more step, which is minus-ing 6 from 48. Why? Notice that there is a little area where a side of the small square meets the bigger square. That little area is worth 3 cm ( length is 3, height is 1 cm ) times 2 ( 3 cm is one side, another 3 cm is the other side from the other square ) = 6 cm.

Your total answer should be 42. ( or 48, if your teacher doesn't count the area where the squares meet/join together ).

3times2times1equals 6
7times6times1equals 42

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