The difference of one half a number x and 3 is 14

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Answer:

The answer is D

Step-by-step explanation:

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

19/50

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Answer:

AC is parallel to BD

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.

Answer:

d = h x 3+2

Example

The formula h=d/3+2

h = 15

d = h x 3+2

d = 15 x 3+2

d = 15 x 5

d = 75

To check the answer is correct

h = 75/5

h = 15

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:

a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer

Answer:

1/6

Step-by-step explanation:

1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.

Answer:

kristen

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Answer:

(-4,-4)

Step-by-step explanation:

Since y=x,plug in x for y in equation 2

x²+x²=32

2x²=32

x²=16

x=√16=±4

So one solution is (4,4) and another is (-4,-4)

Answer:

i really cant tell you

Step-by-step explanation:

sorry

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Answer:

-3/12

Step-by-step explanation:

To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex]  to find the slope.

plug in the coordinates: 7,5

-5,8

[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]

Have a wonderful week!

#1

y is decreasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{x-y}{x}(100)=\dfrac{1}{5}(100)=1(20)=20\%[/tex]

#2

y is increasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{8}(100)=37.5\%[/tex]

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

Answer:

Hey there! The answer's 'no' :)

Step-by-step explanation:

"On the first level, she earned 3 energy points and 8 stars."

The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.

"On the second level, she earned 2 energy points and 5 stars."

The ratio here is 2:5. We also can't simplify this.

By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

Harry is  x years old now.

Harry was x-3 years old three years ago.

Three years ago, Jenny was 2(x-3)=2x-6  years old.

Now, Jenny is 2x-6+3 years old.

In three years time, Jenny will be 2x-6+3+3=2x  years old.

In three years time, Ahmed will be 5(2x)= 10x  years old.

Hope this helped you-have a good day bro cya)

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Answer:

p=v-u/t440-500=-60 this is decreasing in the rent so it decreased

Answer:

10.25

Step-by-step explanation:

You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.

answer: 2:15

explaination :

Answer:

5/8=0.625

Step-by-step explanation:

5/8=decimal

5/8=0.625

Hope this helps :)

Answer:

0.625

Step-by-step explanation:

We know that 1/8= 0.125, so to get 5/8 as a decimal you would do 5 times 0.125.

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets