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1 year ago

the length of the highway is 1500 miles. If 1 inch represents 150 miles, what is the length of the highway on the map?

Mathematics

1 answer:

NeX [460]1 year ago

4 0

Answer:

10 inches.

Step-by-step explanation:

If 1 inch represents 150 miles, and there are 1500 miles covered by the map, then the length of the highway on the map is 10 inches.

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Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Marysya12 [62]

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

5 0

2 years ago

Read 2 more answers

Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at

DiKsa [7]

Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.

Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

So the net flow rate of salt, given by $x(t)$ in grams, is governed by the differential equation,

$x'(t)=15-\dfrac{3x(t)}{10}$

which is linear. Move the $x$ term to the right side, then multiply both sides by $e^{3t/10}$ :

$e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}$

$\implies\left(e^{3t/10}x\right)'=15e^{3t/10}$

Integrate both sides, then solve for $x$ :

$e^{3t/10}x=50e^{3t/10}+C$

$\implies x(t)=50+Ce^{-3t/10}$

Since the tank starts with 5 g of salt at time $t=0$ , we have

$5=50+C\implies C=-45$

$\implies\boxed{x(t)=50-45e^{-3t/10}}$

The time it takes for the tank to hold 20 g of salt is $t$ such that

$20=50-45e^{-3t/10}\implies t=\dfrac{20}3\ln\dfrac32\approx2.7031\,\mathrm{min}$

3 0

1 year ago

Joel maps his house and his school on a coordinate grid where each unit is 1 block. His school is at (-7, -2). His house is at (

zhenek [66]

Answer:

10 blocks

Step-by-step explanation

check the image attached, the y coordinate of his school and house are the same that is, -2 so all we have to do is check the distance between x coordinates

that is , -7 and 3

distance between school and his house = 3 - (-7) = 10 blocks

3 0

2 years ago

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A caterer makes 3 extra sandwhiches for every 20 sandwhiches a customer orders. What is the ratio of ordered sandwiches to extra

VMariaS [17]

You can solve this by making a proportion.

$\frac{3}{20} = \frac{x}{184}$

you cross multiply and divide to solve this. your answer is 8.

4 0

1 year ago

If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost

san4es73 [151]

A taco costs $5
This is because there was no difference in the cost except for $5. The only item added was one taco. Drinks cost $2 each.

4 0

1 year ago