MATHEMATICS MIDDLE SCHOOL

Can someone please help me?

Answers

Answer 1

Answer:

Answer:

1 solution --> y=-13/2

Step-by-step explanation:

7(y+3)=5y+8

7y +21=5y+8

2y=8-21

2y=-13

y=-13/2

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If you collect 435 cents in nickles. how many nickles do you collect?

Answers

87 nickels because 5 times 87 is going to equal to 435

Easy, you have 435 cents

1 nickle= 5 cents

435/5=87

Thus, you have collected 87 nickles.

Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are tge length and width of the room?

Answers

Area = length x width
But width = 4/5 x length
so 320 = length x 4/5length
Rearranged, 320 = 4/5(length)(length)
length x length = length^2
Divide both sides by 4/5
400 = (length)^2
Square root both sides
20 = length

So now you know the length, you can calculate the width.
Width = 4/5 x length
= 4/5 x 20
= 16

Length = 20ft, Width = 16ft

Darius wrote the number 84,273. Then he wrote a different number in which the digit 2 has 10 times the value it has in the number 84,273. Which could be the other number Jackson wrote? A 78,325 B 62,541 C 34,482 D 25,847

Answers

Answer:

option B) 62541

Step-by-step explanation:

The given number is 84273.

The number can be written as 80000+4000+200+70+3=84273.

Here in the given number, the digit 2 has value 200.

Given that, value of two in new number is ten times means, 200 x 10=2000.

thus, 2 should be at thousandth's place, which is only in 62541 in given options.

62541=60000+2000+500+40+1

while others are,

78325=70000+8000+300+20+5

34482=30000+4000+400+80+2

25874=20000+5000+800+70+4 ,

none of which has 2 at thousandth's place.

Need help please help me

Answers

The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)

If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

y = mx + b - it's the equation of a straight line. We need only two points to the plotting the graph of that function.

Select any two x values and calculate y values:

$y=(1)/(2)x+2\n\nfor\ x=0\to y=(1)/(2)(0)+2=0+2=0\to(0,\ 2)\n\nfor\ x=-4\to y=(1)/(2)(-4)=-2+2=0\to(-4,\ 0)$

$y=x+5\n\nfor\ x=0\to y=0+5=5\to(0,\ 5)\n\nfor\ x=-5\to y=-5+5=0\to(-5,\ 0)$

Look at the picture.

The solution of the system of equations is the intersection point of the line.

Answer: (-6, -1) → x = -6 and y = -1

How can I anwser this one? ?
4x2+16x=0

Answers

$4x^2+16x=0$

$(4x^2+16x)/(4) =(0)/(4)$

$x^2+4x=0$

$x(x+4)=0$

$x=0$

$x+4=0$

$x+4-4=0-4$

$x=-4$

$x=-4,0$

Divide each side of the equation by 4 :

x² + 4x = 0

Factor the left side:

x (x + 4) = 0

This equation is true if x=0 or if x=-4 , so those are the two solutions.

One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.

Answers

Okay lets look at the problem first
so Chaya is our X Value
and we know that the total is 196
lets divide the total by 3
so we have 65.1
lets forget the point one for now
know if each person worked 65 hours this would be over
but we know that Jon Worked 3Hours less then Chaya that would put him at 62
Know we need to put that 3 hours to the side and remember we havnt used it yet
And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at 69 hours
so Jon (a) worked 62 hours
Amgelica (b)worked 69 hours
and Chaya (c)at 65
a+b+c=196
62+69+65=196
I hope this helped

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