One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.

Together, the boxes weigh 48 pounds.

If w represents the weight of the first box placed on the scale, write a problem ?

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

Learn more here:

https://brainly.com/question/24861248

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Answer:

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

Answer:a

Step-by-step explanation:

i know

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Answer:

quantitative manipulation of the independent variable

Answer:

Yes.

Step-by-step explanation:

0.5 minutes is 1/4 of 2 minutes.

0.2 is also 1/4 of 0.8

you get what I'm sayin?

Answer:

Justine runs 3 miles a day and Kate runs 6 miles a day.

Step-by-step explanation:

x = number of miles ran in a day

x(7) + (x+3)(7) = 63

7x + 7x + 21 = 63

14x + 21 = 63

14x = 42

x = 3

3 + 3 = 6

Justine runs 3 miles a day and Kate runs 6 miles a day.

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

Answer:

1. Sleep well

2. Eat a proper meal to increase your energy

3. Do the ones you are good at first. Skip the harder questions

4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.

5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.

6. Have faith in yourself. :)

Step-by-step explanation:

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

Answer:

the value of h in the diagram is I hope hight

Answer:

37/40

Step-by-step explanation:

                                      3/8                              7/10

      80/40                   -       15/40              -          28/40                   =  37/40

two whole shampoo  -      uses at home    -      uses on holiday     =  left

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

Answer: 19,38, and 33.

Step-by-step explanation:

80=2x+x+2x-5=5x=95=x=19

Answer:

IS LINEAR

Step-by-step explanation:

Answer:

c=23/24

Step-by-step explanation:

 c+3/8=1/1/3

 c+3/8=4/3

c+9/24=32/24

        c=32/24-9/24

         =23/24

Answer: 1/5 to the power of 15