Please MY LAST 15 POINTS! What is the x-coordinate of point B? Write a decimal coordinate.

Write expression in words: 6/y

Vika [28.1K]

Answer: y divided by 6

Step-by-step explanation:

/ is a division sign

4 0

3 years ago

What three consecutive integers equal -87?

olchik [2.2K]

Answer:

What three consecutive integers have a sum of 87? Which means that the first number is 28, the second number is 28 + 1 and the third number is 28 + 2. Therefore, three consecutive integers that add up to 87 are 28, 29, and 30. We know our answer is correct because 28 + 29 + 30 equals 87 as displayed above.

Step-by-step explanation:

Consecutive integers are as simple as 1, 2, 3!

Integers are consecutive if one follows another. How do we "jump" from one integer to the next? We add 1, right? 7, 8 and 9 are three consecutive integers. Add one to 7 to get 8 and add one more to get 9.

Now lets think about this in algebraic terms. Lets name these consecutive integers , x, y and z.

The problem tells us that their sum is -87. (Recall, "sum" is just a fancy word for the answer when we add.)

x+y+z = -87

Here is the trick! We need to rewrite this equation so that we have only one variable. Easy!

y is one more that x, so y= x+1

And z is one more than y, so z= y+1. But y is also equal to (x+1)! So z=y+1=(x+1)+1=x+2

Now we have a problem that we can solve! x+(x+1)+(x+2)=-87.

Combining term.: 3x+3=-87

Subtract 3 from both sides of the equation: 3x=84

Divide each side of the equation by 3: x=28

We have solved for x, but we are not done! We need to find y and z. I know you can do this. Remember y is one more than x and z is one more than y.

Check your work! Make sure these three consecutive numbers do in fact add up to -87.

4 0

3 years ago

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the po

Lilit [14]

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

$\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}$

So, the angle of elevation is 36.86 degrees.

4 0

3 years ago

Pls say hard very hard

Simora [160]

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60 ==> 50-60

60 < score ≤ 70 ==> 60-70

70 < score ≤ 80 ==> 70-80

80 < score ≤ 90 ==> 80-90

90 < score ≤ 100 ==> 90-100

Then a student who scored a 60 should be added to the 50-60 category.

8 0

2 years ago

Margaret has 16 yards of fabric and she is making dresses for z doll write the expression for the length of fabric used for each

emmasim [6.3K]

<h3>The expression for the length of fabric used for each doll is $\frac{16}{z}\ yards$ </h3>

<em><u>Solution:</u></em>

Given that,

Margaret has 16 yards of fabric

she is making dresses for z doll

Therefore,

Total length of fabric = 16 yards

Number of dresses = z dolls

Therefore,

$\text{ length of fabric used for each doll } = \frac{ \text{ Total length of fabric }} {\text{ z dolls }}\\\\\text{ length of fabric used for each doll } = \frac{16}{z}\ yards$

Thus, the expression for the length of fabric used for each doll is $\frac{16}{z}\ yards$

7 0

3 years ago