The graph of y=-4x+7 is:

10483 people attended a rock festival. if there were 811 more boys than girls, and 2481 fewer adults over 50 years of age than t

Bond [772]

Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.

Step-by-step explanation:

Let x denotes the number of girls.

Then, the number of boys = x+811

The number of adults over 50 years of age = x-2481

Now, by considering the given scenario :-

$x+x+811+x-2481=10483\\\\\Rightarrow\ 3x-1670=10483\\\\\Rightarrow\ 3x=10483+1670\\\\\Rightarrow\ 3x=12153\\\\\Rightarrow\ x=\dfrac{12153}{3}=4051$

Thus, the number of girls attended the festival = 4051,

Then number of boys = 4051+811=4862

Number of adults = 4051-2481=1570

7 0

4 years ago

A baby gains 11 pounds in its first year of life. The baby gained 4 à pounds during the first four months and 3 pounds in

sveticcg [70]

4 pounds is the correct answer.

explanation:
the baby gained 4 lbs during the first 4 months. then the baby gained 3 during the second 4 months. that is a total of 7. subtract that from 11, and you have 4 lbs.

3 0

4 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago

1) Which statement is needed to fill in the blank in this syllogism? If two lines are parallel, then ____________________. If th

igor_vitrenko [27]

Answer:

B) the lines never intersect

Step-by-step explanation:

okay essentially, syllogism is formatted in a repetitive way

it's something like:

if "a" are "b"

and "b" are "c"

then "a" are "c"

(a = b

b = c

logically, c = a)

(idea, thing related to idea, conclusion relating the two)

hope this helps!!

8 0

2 years ago

180% if what number is 36

elena-s [515]

Answer:

64.8

Step-by-step explanation:

7 0

3 years ago