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Kaylis [27]
3 years ago
8

Which dimensions describe a rectangular prism with a volume of

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

Square ⬛ ormmmfjdixxjx

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Eli and Claire work at a dry cleaners ironing shirts. Eli can iron 15 shirts per hour,
shusha [124]

Answer:

∴ Eli worked for 8 hours and Claire worked for 9 hours

Step-by-step explanation:

Let us form the two equations then graph them

∵ Eli worked for x hours

∵ Claire worked for y hours

∵ Eli and Claire worked a combined 17 hours

∴ x + y = 17 ⇒ (1)

∵ Eli can iron 15 shirts per hour

∵ Claire can iron 20 shirts per hour

∵ They ironed 300 shirts together in 17 hours

→ Multiply x by 15 and y by 20, then add the products and equate their

   sum by 300

∴ 15x + 20 y = 300 ⇒ (2)

Now let us find 2 points in each equation and draw the two lines which represent the two equations

→ In equation 1, put x = 0

∵ x = 0

∵ 0 + y = 17

∴ y = 17

∴ The first point is (0, 17)

→ Put y = 0 and find x

∵ y = 0

∴ x + 0 = 17

∴ x = 17

∴ The second point is (17, 0)

→ In equation 2, put x = 0

∵ x = 0

∵ 0 + 20y = 300

∴ 20y = 300

→ Divide both sides by 20

∴ y = 15

∴ The first point is (0, 15)

→ Put y = 0 and find x

∵ y = 0

∴ 15x + 0 = 300

→ Divide both sides by 15

∴ x = 20

∴ The second point is (20, 0)

Draw the first line using points (0, 17) and (17, 0)

Draw the second line using points (0, 15) and (20, 0)

The graph is attached down

From the graph

The red line represents equation (1)

The blue line represents equation (2)

The two lines intersected at point (8, 9) which is the solution of the system of equations

∴ The solution of the two equations is (8, 9)

∴ Eli worked for 8 hours and Claire worked for 9 hours

8 0
2 years ago
Please help me out I don’t get it
Semmy [17]
I believe the answer would be 57*
because they are alternate angles. All the sides are the same across from one another making it the same triangle on top of a twin triangle. let me know if this doesn’t make sense!
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=10%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Cdiv%201%20%5Cfrac%7B1%7D%7B4%7D%20" id="TexFormula1" title=
MrRissso [65]
10 1/2 divided by 1 1/4 is 8 4/10
7 0
3 years ago
Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
Jamie is going to pretend he is a race car and run around the outside of the track from point A to point B
finlep [7]

The Answer Is 540 Feet.

Angle AB is 45% of 1,200, 1/2 of the full track.

Do 0.45x1,200=540.

4 0
2 years ago
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