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Alja [10]
2 years ago
13

3y=2x+3 Solve for y :D

Mathematics
2 answers:
In-s [12.5K]2 years ago
8 0

Answer:

y = 2x/3 + 1

Step-by-step explanation:

baherus [9]2 years ago
6 0

Answer:

y = 2 x/3 + 1

Step-by-step explanation:

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Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are  (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

= 9+9+9+9+9= 9\times5=45

7 0
3 years ago
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends
valkas [14]

Answer: The mat is 4.33 ft high off the ground.

Step-by-step explanation:

Since we have given that

Angle of elevation with the first triangle = 30°

Angle of elevation with the second triangle = 60°

Length at which gymnastics mat extends across the floor = 5 feet

so, As shown in the figure:

We need to find the height of the mat off the ground.

If CD = 5 ft,

Let,  AB = y, DC = x.

In Δ ABC,

\tan 60^\circ=\frac{AB}{BC}\\\\\frac{\sqrt{3}}{2}=\frac{y}{x}\\\\x=\frac{y}{\sqrt{3}}

Similarly, in Δ ACD,

\tan 30^\circ=\frac{AB}{BD}\\\\\frac{1}{\sqrt{3}}=\frac{y}{x+5}\\\\\frac{1}{\sqrt{3}}=\frac{y}{\frac{y}{\sqrt{3}}+5}\\\\\frac{1}{\sqrt{3}}=\frac{y\sqrt{3}}{y+5\sqrt{3}}\\\\3y=y+5\sqrt{3}\\\\2y=5\sqrt{3}\\\\y=\frac{5\sqrt{3}}{2}\\\\y=4.33\ ft

Hence, the mat is 4.33 ft high off the ground.

5 0
3 years ago
Read 2 more answers
PLEASE HELP HURRY!!!!!!!
Charra [1.4K]

As it has been given that x=4+5i, y=2-9i.

We need to find the value of the following:

(i) 4x-y, substituting the value of 'x' and 'y' in the expression, we get:

4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i

=14+29i

So, 4x-y=14+29i

(ii) -x+3y, substituting the value of 'x' and 'y' in the expression, we get:

-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i

=2-32i

So, -x+3y=2-32i

(iii) x \times y, we need to substitute the value of 'x' and 'y' in the expression,  for this, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

Using the distributive property of multiplication:

(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i

=8-36i+10i-45i^2

Now, we know that i \times i=i^2=-1

We get, 8-36i+10i-45 \times (-1)=8-26i+45

=8+45-26i=53-26i

Therefore, x \times y=53-26i.

(iv) We have, 2x \times y, we need to substitute the value of 'x' and 'y' in the expression, we get:

2(4+5i)\times (2-9i)

Again, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

So,

2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)

=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i

=16-72i+20i-90i^2

since, i^2=-1

we get,

16-72i+20i-90 \times (-1)=16-52i+90

=106-52i

Therefore,

2x \times y=106-52i


7 0
3 years ago
Read 2 more answers
Which of the following equations is correctly calculated?
sveticcg [70]

Answer:

d) -8 × 3 = -24

Step-by-step explanation:

a) -18 ÷ 6 = -3

b) 30 ÷ 3 = 10

c) -7 × -7 = 49

d) -8 × 3 = -24

Above from all, option d is done correctly.

Note: when negatives are multiplied together or divided they cancel out to being positive. For example: -1 × -1 = 1

5 0
2 years ago
Read 2 more answers
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered
Musya8 [376]

Step-by-step explanation:

individual is telling the truth," to answer the following questions.

a. What is the probability of a Type I error? (Round your answer to 3 decimal places.)

b. What is the probability of a Type II error? (Round your answer to 2 decimal places.)

4 0
3 years ago
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