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Burka [1]
2 years ago
13

Question 2 (1 point)

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
3 0
4x+8=-x+10.
+1x +1x. =5x+8=10
sorry didn’t know how to put it into words
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It shipped traveled for a total of 85 miles over the course of five hours heading west the ship travels and average of 14 mph an
adoni [48]

complete question:

A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?

Answer:

The ship heading north traveled for 3 hours

Step-by-step explanation:

A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.

speed = distance/time

total distance = 85

total time = 5 hours

speed = 85/5

speed = 17  miles/hr

West direction

Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.

speed = distance/time

14 = dist/time

let

a = time traveled west

distance = 14a

North direction

speed = dist/time

19 = dist/time

time travel north = 5 - a

distance = 19(5 - a)

distance = 95 - 19a

Total distance traveled = 85 miles

85 = 14a + 95 - 19a

85 = -5a + 95

-10 = -5a

a = -10/-5

a = 2

The ship heading north will travel for 5 - 2 = 3 hours

5 0
2 years ago
Read 2 more answers
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

A=P(1+\dfrac{r}{n})^{n.t}

Taking log both sides :

A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years

Hence, this is the required solution.

5 0
2 years ago
Function f is a cosine function with period 8π, amplitude 3, and a local maximum at f(0) = –3. What is the equation of the midli
alisha [4.7K]

Answer:

y = 0

Step-by-step explanation:

Since there is no indication of a shift in the graph of f(x) = 3cos(-0.25x), then the midline must be the normal midline for a cosine or sine function which is: y = 0.

8 0
2 years ago
Read 2 more answers
Yi Min is a pitcher on her softball team. This season,
almond37 [142]

Answer:

48

Step-by-step explanation:

0.8 times 60= 48

4 0
2 years ago
Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​
Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three 4\frac{1}{2} oz cans and five 8\frac{1}{4} oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three 4\frac{1}{2} oz cans.

i.e. 3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}

Mark has five 8\frac{1}{4} oz cans.

i.e. 5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}

Total ounces of tomatoes does Mark need is

T=\frac{27}{2}+\frac{165}{4}

T=\frac{54+165}{4}

T=\frac{219}{4}

T=54.75

Therefore, 54.74 ounces of tomatoes mark need.

7 0
2 years ago
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