Answer:

**Answer:**

14

**Step-by-step explanation:**

62-6=56

56 divided by 4 = 14

Therefore, the answer is 14.

When we multiply a number by 3, wesometimes/always/never v get the same value as if we added 6 to that number. Stuck? Watch a video or use a hint. Report a problem 7 of 7 .. nyone, anywhere Imnact Math by grace O

Find the range of each function for the given domain. 7. A(x) = 2;1-1.2,0,02,12,4

What what the two coordinates be for (2x+3, 2y-9)

Hey can you please help me posted picture of question

Help plsAccording to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?

Find the range of each function for the given domain. 7. A(x) = 2;1-1.2,0,02,12,4

What what the two coordinates be for (2x+3, 2y-9)

Hey can you please help me posted picture of question

Help plsAccording to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?

**Answer:**

P=633/800

**Step-by-step explanation:**

The total number of integers from 1 to 2400 is 2400.

As understand we are looking for the numbers which can be divided at least by one of the numbers 6 or 8. Lets call all integers which can be divided by 6 or by 8 " black" integers and others " white" integers.

For example 6 can be divided by 6, however can not be divided by 8. However it is divided by 6 so we have to 6 belongs to " black" untegers.

The number of integers which can be divided by 6 is

2400:6=400 (1st sheet of black integers)

The number of integers which can be divided by 8 is 2400:8=300 (2nd shhet of black numbers).

So total amount of " black" integers= 400+300=700. However some of these integers can be divided both as by 6 as by 8.

These integers heve been included as to sheet 1 as to sheet 2. ANother words these integers have been included twice. SO we have to find the

total number of such integers and deduct them from 700.

These are the integers as follows:

3*4*2=24

3*4*3=36

3*4*4=48

3*4*5=60

3*4*6=72 ...

So these is any integer from 1 to 2400 which can be divided by 12 but own 12.

The number of such integers is:

2400:12-1=200-1=199

So the number of black integers is 700-199=501

That means that the number of white integers is 2400-501 = 1899

The required probability is P=1899/2400=633/800

**Answer:**

9

**Step by Step Explanation:**

Given the pattern:

4,15,7,12,10,9,..

Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:

4, 15, 7, 12, 10, 9, 13, 11,16

thus the missing numbers will be:

13,11,16

4,15,7,12,10,9,..

Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:

4, 15, 7, 12, 10, 9, 13, 11,16

thus the missing numbers will be:

13,11,16

Split this pattern into two sub-patterns.

We can see that odd position terms first, third, and fifth terms are increasing by 3.

We also can see that even position terms second, fourth, and sixth terms are decreasing by 3.

So the remaining term is seventh, eighth, and ninth terms. So from pattern above, seventh and ninth is continue after odd position term, so that would be 13 then 16.

eighth term is continue after even position term. That would be 6.

So then the remaining pattern would be**13, 6, 16**.

We can see that odd position terms first, third, and fifth terms are increasing by 3.

We also can see that even position terms second, fourth, and sixth terms are decreasing by 3.

So the remaining term is seventh, eighth, and ninth terms. So from pattern above, seventh and ninth is continue after odd position term, so that would be 13 then 16.

eighth term is continue after even position term. That would be 6.

So then the remaining pattern would be

**Answer: Angle D= 0.51 radians or 29.05°**

**Step-by-step explanation:**

For this problem, we can use our trigonometry to find the measure of angle D.

Since this is a right triangle, we know we can use sine, cosine, and tangent. We are focusing on angle D, so we would see which trigonometric function best fits angle D. Looking at where 25 ft and 45 ft are labeled, we can use tangent. Tangent of opposite/adjacent. Now that we know this, we can set up an equation. Let's use θ in place for angle D.

**tan(θ)=25/45**

**tan(θ)=5/9**

Since we want to find θ, we would do inverse tangent.

θ=

**θ=0.507**

**θ=0.51**

This answer is in radians. In degrees, it is 29.05°.

17.5

35

70

60

**Multiply by 2 to get that the measure of arc CB is 70. **

**Answer: **

**measure of arc CB is 70°**

**Step-by-step explanation:**

Draw segment FC.

Measure of arc CB = ∠CFB

∠CFB is complementary to ∠CFA

∠CFB = 180° - ∠CFA

Δ CFA is isosceles

∠ FAC = ∠ FCA = 35°

∠CFA +∠ FAC + ∠ FCA = 180°

∠CFA = 180° - 70°

∠CFB = 180° - (180° - 70°) = 70°

∴ Measure of arc CB is 70°

**Answer:**

C

**Step-by-step explanation:**