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3 years ago

Saundi is making a quinoa salad. She needs twice the amount of water per cup of

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Answer: the answer is 6 cups of water

Step-by-step explanation: 2x3 = 6

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Which situation involves a change modeled by a positive number but an end result modeled by a negative number? A.Leo enters an e

Scrat [10]

The positive number but a negative result would be :

C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.

The positive value is she swam 10 feet up to the surface, but she is still below the surface, which would be a negative result.

8 0

4 years ago

Read 2 more answers

David started across a lake 15 miles wide in his fishing boat at 10 miles per hour. He had to row the rest of the way at only 5

schepotkina [342]

Answer:

Total time = 2hrs

Step-by-step explanation:

Firstly, to outline some variables, with which we can construct some equations:

x = the time taken to cross the river at 10mph (in hrs)

y = the time taken to cross the river at 5mph (in hrs)

t = total time taken to cross the river (in hrs)

a = distance travelled at speed 10mph (in miles)

b = distance travelled at speed 5mph (in miles)

Then,

a + b = 15

t = x + y

y = ¹/₂(t) ∴ t = 2y, so,

x + y = 2y ∴ x = y

Secondly, we know speed = distance/time, so,

10 = a/x ⇒ x = a/10

5 = b/x ⇒ x = b/5

So,

a/10 = b/5 ∴ a = 2b

Thirdly, if a + b = 15, then,

2b + b = 15 ⇒ 3b = 15 ⇒ b = 5

[a = 2b ∴ a = 10]

Fourthly, x = b/5, so,

x = 5/5 = 1,

Since x = y, y = 1 and since t = 2y,

t = 2(1) = 2

The whole trip, therefore, took 2hrs.

5 0

3 years ago

The position of a model train, in feet along a railroad track, is given by

miv72 [106K]

Answer:

Part a) The speed is $2.5\frac{ft}{sec}$

Part b) After 4 seconds the trains is 24 ft along the track

Part c) $t=6\ sec$

Step-by-step explanation:

we have

$s(t)=2.5t+14$

This is the equation of a line in slope intercept form

where

s(t) is the position of a model train in feet

t is the time in seconds

Part a) How fast is the train moving?

The speed of the train is equal to the slope of the linear equation so

The slope m is equal to

$m=2.5\frac{ft}{sec}$

therefore

The speed is $2.5\frac{ft}{sec}$

Part b) Where is the train after 4 seconds?

For t=4 sec

substitute the value of t in the equation and solve for s

$s(4)=2.5(4)+14=24\ ft$

therefore

After 4 seconds the trains is 24 ft along the track

Part c) When will the train be 29 feet along the track?

For s(t)=29 ft

Substitute the value of s(t) in the equation and solve for t

$29=2.5t+14$

subtract 14 both sides

$29-14=2.5t$

$15=2.5t$

Divide by 2.5 both sides

$6=t$

rewrite

$t=6\ sec$

3 0

3 years ago

Solve this equation 3/5(x-10)=18-4x-1 combine like terms that are on the same side of the equation

hjlf

Answer:

x=5

Step-by-step explanation:

3/5(x-10)=18-4x-1

3/5x-30/5=18-4x-1

3/5x-6=18-4x-1

+6 +6

3/5x=23-4x

+4x +4x

4 3/5x=23

23/5x=23

23/5 divide , so you actually multiply both sides by the reciprocal 5/23

x=5

6 0

3 years ago

As...<br> Which of the following geometric series diverges?

Volgvan

Answer:

II and II only.

Step-by-step explanation:

The first series converges because the common ratio r is 0.8 (<1).

II diverges as |r| > 1.

III is an alternating series with r = -4 - that is |r| = 4 so it diverges.

7 0

3 years ago