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djyliett [7]
3 years ago
14

What is 6-2x=6x-10x+20

Mathematics
1 answer:
Advocard [28]3 years ago
6 0
6-20=2x+6x-10x
-14=-2x
-7=-x
x=7
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Help me with question 1 please
GrogVix [38]

Answer:

DB = 6

Step-by-step explanation:

See the attached figure to the question.

Since O is the center of the given circle, so AB and CD are diameters of the circle.

Hence, AO = CO = OD = OB = radius of the circle = 6

In Δ OAC, we have AO = OC. Hence, ∠ A = ∠C = 60° {Given that ∠OAC = 60°}

So, ∠ AOC will automatically become 60°. {As the sum of all the angles of a triangle is 180°}

So, Δ AOC is equilateral triangle.

Now, ∠ AOC = ∠ BOD = 60°  {Since, they are vertically opposite angles}

Now, in Δ BOD, we have DO = OB. Hence, ∠ D = ∠ B = 60° {As the sum of all the angles of a triangle is 180°}

So, Δ BOD is also an equilateral triangle.

So, DB = BO = DO = 6. (Answer)

8 0
3 years ago
Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many
AleksAgata [21]

Answer:

154 students

Step-by-step explanation:

First get the total number of students .

This can be gotten by

12% of A = 21

Where A represents the total number of students.

12% represents the % of A that chose to study French and 21 is the number of students that studied French .

Therefore,

12% /100% x A = 21

0.12 x A = 21

Divide both sides by 0.12

0.12/0.12 x A = 21/0.12

A = 175

The total number of students is 175.

If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.

That’s

175 - 21

= 154

154 students chose not to study French their freshman year

4 0
3 years ago
Solve n + 5(n - 1) = 7
Nina [5.8K]

Answer:

N = 2

Step-by-step explanation:

n + 5(n-1) = 7

n + 5n - 5 = 7

6n - 5 = 7

6n = 12

n = 2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST!!!

7 0
3 years ago
Read 2 more answers
to make a chocolate ice cream you need about 3/8 pounds of chocolate how many pounds of chocolate will you need to make 4 batche
marin [14]
Well since you're using 3/8 and you need to make 4 batches, you need to multiply 3/8 with 4 it would equal 12/8 or 1 4/8 (I could be wrong but this is my answer hopefully this helps) :) <span />
4 0
3 years ago
Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10..
Alisiya [41]
\bf \sum\limits_{n=2}^{10}~-2n-3

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".

however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n.  So let's use those fellows then,

\bf \sum\limits_{n=2}^{10}~-2n-3\qquad &#10;\begin{cases}&#10;k=n-1\\&#10;k+1=n&#10;\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3&#10;\\\\\\&#10;\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5&#10;\\\\\\&#10;-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)&#10;\\\\\\&#10;-2(45)-45\implies -90-45\implies -135
5 0
3 years ago
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