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a_sh-v [17]
3 years ago
13

-2/3x + 9 = 4/3x -3​

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.

9 + 3 = 4/3x + 2/3x

Next, add the like terms.

9+3=12

When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.

4/3x+2/3x=6/3x

So,

12 = 6/3x

Then, we have to divide each side by 6/3 to make the x alone.

12/6/3 = 6/3x/6/3

To divide with fractions, multiply the reciprocal (opposite number on number line):

12/1·3/6 = x

36/6 = x

6 = x

Tatiana [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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BabaBlast [244]

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

In triangle ABC, using exterior angle theorem, we get

\angle ACD=\angle ABC+\angle BAC

x=75^\circ +30^\circ

x=105^\circ

The value of x is 105 degrees.

Therefore, the correct option is C.

4 0
2 years ago
Mark drank 5/8 of a 24 ounce can of juice. Lili drank 1/3 as much juice as Mark did . How many ounces did each one drink
Evgen [1.6K]

Answer:

Mark: 15 ounces

Lili: 5 ounces

Step-by-step explanation:

Mark drank 5/8 of a 24 ounce can of juice.

The ounces Mark drank

=\frac{5}{8}\times 24

=5\times 3

Mark drank 15 ounces.

Lili drank 1/3 as much juice as Mark did.

The ounce Lili drank

=\frac{1}{3}\times 15=5

Lili drank 5 ounces.

8 0
3 years ago
ASAP HELPPPPPPPPpppppp
Slav-nsk [51]

Answer: see explanation

Step-by-step explanation:

you would add <em>AB (14) </em>and <em>BC (3x-4)</em> to get the length of <em>AC (4x+4).</em>

14 + 3x-4 = 4x + 4

then, just solve for the value of x. (isolate x)

and then plug the value of x back in to "4x+4" and that's your answer.

6 0
3 years ago
Read 2 more answers
Please help me find the correct answers ​
yuradex [85]

Answer:

P = 20 ft

h = 2 ft

B = 10.56 ft²

Step-by-step explanation:

P = 8.8 + 8.8 + 1.2 + 1.2 = 20 ft

h = 2 ft

B = 1.2 x 8.8 = 10.56 ft²

4 0
2 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 3 small boxes has a t
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Answer:

Step-by-step explanation:

3 0
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