MATHEMATICS HIGH SCHOOL

A teacher had 70 packages of paper she wanted to split equally into 7 piles. How much should be in each pile?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

$70/7=10$

There are 10 packages of paper in each pile.

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Check:

There are 7 piles.

Thus, there are $7*10=70$ total packages of paper.

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Jonas is jogging from the Park to the school. He has jogged 0.424 miles so far. He has 0.384 mile left to jog. How far is the park located away from the school?

Answers

Answer:the park is located 0.808 miles away from the school

Step-by-step explanation:

Jonas is jogging from the Park to the school. The total number of miles that Jonas has jogged so far is 0.424.

He has 0.384 mile left to jog. This means that the distance of the park from the school would be the sum of the distance that he has jogged so far and the distance that he has left to jog. It becomes

0.424 + 0.384 = 0.808 miles

A sum of 17 and a difference of 5?

Answers

11 and 6
11+6=17
11-6=5

Ann entered a race which required a run of 10 km north and a bike of 120 km west. Determine her running speed if she cycled ten times faster than she ran and the total race took her four hours to complete.

Answers

x - running speed
10x - speed on bike

v = s/t
s - distance
t - time

t = s/v

s₁ = 10 km
s₂ = 120 km

$(10)/(x) + (120)/(10x) = 4\n\n(10)/(x) + (12)/(x) = 4\ \ //*x\n\n10 + 12 = 4x\n\n4x = 22\ \ //:4\n\nx =(22)/(4) = 5,5\ km/h$

Solution:
Running speed = 5,5 km/h

A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is

Answers

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

For a triangle to be right angle triangle,

$c^2=a^2+b^2$

By this law it is observed that,

For a triangle to be acute angle triangle,

$c^2<(a^2+b^2)$

For a triangle to be obtuse angle triangle,

$c^2>(a^2+b^2)$

The sides of the given triangle are 3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

$c^2=5^2\nc^2=25$

Other two sides,

$a^2+b^2=3.8^2+3.7^2\na^2+b^2=14.44+13.69\na^2+b^2=28.13$

Therefore,

$25<28.13\n$

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.

Learn more about the type of triangle here;

brainly.com/question/2644832

It is a scalene triangle because none of the sides are the same!

Starting from a 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling at a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the equation: d = |130 - 25t|. At what times is the bike 15 feet away from the checkpoint? a. 4.6 sec and 9.2 sec

b. 2.9 sec and 5.8 sec

c. 4.6 sec and 5.8 sec

d. 2.9 sec and 3.3 sec

Answers

for this question you can say d = 15 feet so we need the t then you can say :
15 = l 130 - 25t l ⇒ because of the absolute value you should say :
1) 130 - 25t = 15 ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec
so the answer is c :))
i hope this is helpful
have a nice day

Answer:

The answer is C - 4.6 sec and 5.8 sec

Step-by-step explanation:

Hope this helps ✿

What is the inequality of 0.3(0.3x+0.8)<-0.3

Answers

$0.3(0.3x+0.8)<-0.3\ /:0.3\n\n0.3(0.3x+0.8):0.3<-0.3:0.3\n\n0.3x+0.8<-1\n\n0.3x<-1-0.8\n\n0.3x<-1.8\ /:0.3\n\nx<- (1.8)/(0.3) \n\nx<- (18)/(3) \n\nx<-6\ \ \ \ \Leftrightarrow\ \ \ x\in(-\infty;\ -6)$

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