All categories

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

You might be interested in

Solve the equation below

Elina [12.6K]

Answer:

(-5,3)

Step-by-step explanation:

-40+8y=-16

8y=24

y=3

7 0

3 years ago

Read 2 more answers

The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair

kkurt [141]

The function would be f (x) = 0.4x - 4.

Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4

We use point-slope form to write the initial equation:

y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)

Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4

Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4

8 0

3 years ago

The sum and product of two linear functions are shown.

RoseWind [281]

The statements can be used to describe the original functions f(x) and g(x) are; Option B

<h3>How to interpret function graphs?</h3>

Let the functions be

f(x) = ax + b

g(x) = cx + d

Their sum is;

j(x) = (a + c)x + b + d

Their product is;

k(x) = (ax + b)(cx + d)

From the graph, we see that;

f(x) = x + 6

g(x) = -2x² + 8

f'(x) = 1

g'(x) = -4x

Read more about Function Graphs at; brainly.com/question/4025726

#SPJ1

6 0

3 years ago

HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°

denpristay [2]

Answer:

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

5 0

3 years ago

In a capacitor, the amount of dielectric stress is proportional to the _____.

riadik2000 [5.3K]

Answer

capacitance of capacitor.

<u>Explanation</u>

Dielectrics are non-conducting materials or insulators or bad conducting materials.Examples for dielectrics are glass, mica,Plastics etc.Dielectrics are placed inside two parallel plate capacitors. If larger the value of dielectric constant more charge can be stored.The electric field between two parallel plate capacitor is proportional to the capacitance of the capacitor.By the presence of dielectric the electric field strength reduced, so more charge can be stored.

8 0

4 years ago