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2 years ago

Please Show your work.

Mathematics

1 answer:

lukranit [14]2 years ago

5 0

Answer:

Equation: y = 2.5x

Answer: 43.75 drawers

Step-by-step explanation:

Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x

Answer: Substitute 17.5 into x.

y = 2.5(17.5)

y = 43.75 drawers

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What is a real world situation that can be modeled by the equation 1.25x = 0.75 + 50?

erma4kov [3.2K]

1.25x=1.25 so divided both sides by 1.25 sooo x=1

3 0

2 years ago

Read 2 more answers

Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.

leonid [27]

$\displaystyle g(x) = \int_0^x f(t) \, dt$

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

$\displaystyle g(0) = \int_0^0 f(t) \, dt = 0$

since the integral of any function over a single point is zero;

$\displaystyle g(4) = \int_0^4 f(t) \, dt = 8$

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

$\displaystyle g(8) = \int_0^8 f(t) \, dt = 0$

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

$\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8$

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

$\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0$

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

$\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24$

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

$\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64$

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

5 0

2 years ago

Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance

polet [3.4K]

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = $\frac{3}{10}$