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SCORPION-xisa [38]
3 years ago
14

I really need help with this math problem

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
Square = half so divide each one by 2 to figure out the better dea
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Twice a number is equal to 35 more than seven times the number. Find the number
amm1812

number - n

Twice a number - 2n

Seven times the number - 7n


2n = 7n +35

7n-2n = -35

5n = -35

n = - 7


Check:

2(-7) = 7(-7) +35

-14 = -49 + 35

-14 = -14 True


The number is (- 7).

8 0
3 years ago
I need help plz will give brainliest!!!
Leokris [45]

Answer:

18 red marbles

Step-by-step explanation:

Because the ratio of yellow marbles to red marbles is 1:6 in the population, the expected number of red marbles is 6 times the number of yellow marbles in the representative sample. there should be 18 red marbles.

7 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
How do I multiply fractions by whole numbers
Volgvan
Multiplying fractions by whole numbers:
1. You have to convert the whole number into an improper fraction.
2. You then multiply the fractions straight across.
Ex: 2/3 × 6 =2/3 × 6/1 = 2×6/3×1= 12/3= 4
5 0
3 years ago
Read 2 more answers
If the speed limit of the highway is 60 mph which car exceed the speed limit assume other cars were traveling at a constant spee
Sedaia [141]

Answer:

The first car

Step-by-step explanation:

183/3 = 61mph

6 0
2 years ago
Read 2 more answers
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