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3 years ago

I REALLY need help with these 3 questions plz!!!!

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month Charlie Dasha

1 home home

2 home home

3 home home

4 home home

5 home home

6 trip home

7 home home

8 home home

9 home trip

10 home home

11 home home

12 trip home

13 home home

14 home home

15 home home

16 home home

17 home home

18 trip trip

Answer: 18 months

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

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A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?

allsm [11]

Initial velocity=u=0m/s
Distance=s=150m
Time=t=10s
Acceleration=a

Using second equation of kinematics

$\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2$

$\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2$

$\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a$

$\\ \sf\longmapsto 50a=150$

$\\ \sf\longmapsto a=\dfrac{150}{50}$

$\\ \sf\longmapsto a=3m/s^2$

Mass=m=1000kg
Force=F

Using newtons second law

$\\ \sf\longmapsto F=ma$

$\\ \sf\longmapsto F=1000(3)$

$\\ \sf\longmapsto F=3000N$

3 0

2 years ago

Algebra help

Vilka [71]

To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:

(0,1)
 f(x)=128(0.5)^0
 f(x)=128

(1,64)
 f(x)=128(0.5)^1
f(x) = 64 <--------CORRECT ANSWER

(3,16)
 f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER

(8,0.5)
 f(x)=128(0.5)^8
f(x) = 1/2

Hope this answers the question. Have a nice day.

5 0

3 years ago

Solve the compound inequality 10 >= 7 + 3x and 9-4x<=1 . show steps please.

pav-90 [236]

10 >= 7 + 3x -4x+9<=1
-7 >= -7 - subtract 7 -9<=-9 - Subtract 9
__________ ___________
3 >=3x - divide by 3 -4x<=-8 - divide by -4

x>=1 x<=2

5 0

2 years ago

Read 2 more answers

Which statement is not always true?

Fed [463]

Statement #3: The product of two irrational numbers is not always irrational.

If you multiply √3 and 1/√3, both irrational numbers that are inverses of each other, you end up getting 1, which is rational.

4 0

2 years ago

when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?

Mariana [72]

Answer:

32 km/ hr

Step-by-step explanation:

Given that :

Speed of car = 24km/ hr

Time taken =. 80 minutes = 80 / 60 = 1.33333 hours

The distance traveled :

Speed * time

24 km/hr * 1.333333 = 32 km

Speed required to complete 32 km. Journey in 60 minutes = 1 hour

Speed = distance / time

Speed = 32 km / 1 hour

Speed = 32 km/ hr

5 0

2 years ago