MATHEMATICS MIDDLE SCHOOL

A line has a slope of -3/2 and has a Y intercept of 3 what is the X intercept of the line

Answers

Answer 1

Answer:

Answer: $x=2$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

We know that the slope of this line is:

$m=-(3)/(2)$

And the y-intercept is:

$b=3$

Since the line intersects the x-axis when $y=0$ , we can substitute values into $y=mx+b$ :

$0=-(3)/(2)x+3$

The final step is to solve for "x", then:

$-3=-(3)/(2)x\n\n(-3)(-2)=3x\n\n6=3x\n\nx=(6)/(3)\n\nx=2$

Answer 2

Answer:

The x-intercept of the line is 2.

We must figure out the value of x when the y-coordinate is 0, in order to identify the x-intercept of a line.

We can express the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept,

Given that the slope of the line is -3/2 and the y-intercept is 3.

Substituting the given values into the equation, we have y = (-3/2)x + 3.

To find the x-intercept, we set y = 0 and solve for x:

0 = (-3/2)x + 3

Subtracting 3 from both sides:

(-3/2)x = -3

To isolate x, we multiply both sides by -2/3:

x = (-3)(-2/3)

x = 2

Therefore, the x-intercept of the line is 2.

Learn more about x-intercept click;

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A DISASTER RELIEF GROUP DELIVERS 395 FIRST AID KITS. THE GROUP DELIVERS AN EQUAL NUMBER OF FIRST AID KITS TO 3 COUNTRIES. HOW MANY FIRST AID KITS DOES EACH COUNTRY RECEIVE?

Answers

395/3
about 132
Hope this helped

395/3= 131.6666667
Its 132

one half liter of lemonade concentrate is added to 3 liters of water. how many 1/3 liter servings of lemonade are made.

Answers

The way I understand this, is that we will have 3 (liters of water) +0.5 (half a liter of lemonade) =3.5 liters of liquid

so the question would be: how many times does $(1)/(3)$ fit into 3.5?

I count this like this:

$(3.5)/( (1)/(3) ) = (3.5*3)/(1) =9+1.5=10.5$

if you want to divide by a fraction, you need to multiply by the reverse of it.

so the answer is: 10 servings of lemonade ( and a little bit will be left over for half a serving).

Solve the equation for the letter L: V = LWH

Answers

$LWH=V\qquad\text{divide both sides by}\ WH\neq0\n\n\boxed{L=(V)/(WH)}$

Answer:

L = V / WH

Step-by-step explanation:

Solve for L: V = LWH

To solve, all you have to do is get L on its own on one side.

Because the only operation used in this equation is multiplication, only one operation is needed to solve it: division. Just divide both sides by WH to isolate L.

V / WH = LWH / WH

V / WH = L

A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 1/72 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

Answers

Answer:

108 pounds of mulch.

64 pounds of gravel.

Step-by-step explanation:

Let x be the amount of mulch sold and y be the amount of gravel sold.

We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.

$2(1)/(4)=(9)/(4)$

$1(1)/(3)=(4)/(3)$

We can represent this information as:

$(x)/(y)=((9)/(4))/((4)/(3))...(1)$

We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:

$x+y=172...(2)$

From equation (1) we will get,

$(x)/(y)=(9)/(4)*(3)/(4)$

$(x)/(y)=(27)/(16)$

$x=y*(27)/(16)$

Substituting this value in equation (2) we will get,

$y*(27)/(16)+y=172$

Now let us have a common denominator.

$(27y)/(16)+(16y)/(16)=172$

$(27y+16y)/(16)=172$

$16*(43y)/(16)=16*172$

$43y=2752$

$y=(2752)/(43)$

$y=64$

Therefore, the supplier sold 64 pounds of gravel.

Upon substituting y=64 in equation (2) we will get,

$x+64=172$

$x=172-64$

$x=108$

Therefore, the supplier sold 108 pounds of mulch.

Durning the month of January, temperatures can decrease by 19 per week . If this happens, the temperature on January 12 was 10 , what's is the temperature on January 19th

Answers

If it does drop it would be -9 by the end of the week.

Step-by-step explanation:

cn b CX b,hxbcxhcjdhx smuggling

What is the value of b? A right triangle with an angle measure of fifty-one degrees and an unknown angle measure, b degrees.

Answers

A triangle will have a total of 180 degrees.

Since it is a right triangle, we know that one angle is 90 degrees. We also know that one of the other angles is 51.

90 + 51 + x = 180
141 + x = 180

Subtract 141 on both sides.

x = 180 - 41
x = 39

The value of b is 39 degrees.

90 + 51 = ?

90 + 51 = 141

180 - 141 = 39

Answer: B = 39 degrees

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