Helen drives 195miles in 3 hours what is her average speed in mph

Please help on this math problem

Arte-miy333 [17]

Answer:

1680 in^3

Step-by-step explanation:

SO you got the triangle

24*10=240

240/2=120

now we just need to find the area

There is a formula but I think this is easier

So theres a rectangle with a length of 14

So if you think of the triangle as the base, you just need 14 triangles stacked up to make up the volume

So 120*14=1680

So the volume is 1680

6 0

3 years ago

HELP PLEASE must show work

Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

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b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

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c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

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d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

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e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

5 0

3 years ago

A: 5x − 2y = 10

Nuetrik [128]

Answer:

D) Multiply A by -4 and B by 5

Step-by-step explanation:

5x-2y=10

4x+3y=7

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

-4(5x-2y)=-4(10)

5(4x+3y)=5(7)

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

-20x+8y=-40

20x+15y=35

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

23y=-5

y=-5/23

5x-2(-5/23)=10

5x+10/23=10

5x=10-10/23

5x=230/23-10/23

5x=220/23

x=(220/23)/5

x=(220/23)(1/5)

x=220/115

x=44/23

7 0

4 years ago

Someone can help???

frozen [14]

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

∵ a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

∴ a = 4 ft

∵ b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

∴ b = 3 ft

∵ c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = $\sqrt{a^{2}+b^{2}}$

∴ c = $\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}$

∵ $\sqrt{25}$ = 5

∴ c = 5 ft

∴ The slant of the ladder is 5 ft

5 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

RUDIKE [14]

9514 1404 393

Answer:

$1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

y = -(x^2 -90x) -454

y = -(x^2 -90x +45^2) -454 +45^2

y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.

8 0

3 years ago