Which of the following is the contrapositive of the conditional below?

If 3 + 4 = 6, then 2 · 5 = 10.

If 2 · 5 = 10, then 3 + 4 = 6.
If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.
If 3 + 4 ≠ 6, then 2 · 5 ≠ 10.
If 3 + 4 ≠ 6, then 2 · 5 = 10.

[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]

5-x + 6 = 4

Combine like terms:

11-x = 4

Subtract 11 from both sides

-x = -7

Divide both sides by -1

X = 7

Answer: x = 7

Solve for X

5-x+6=4

x = 7

=> 5-x + 6 = 4

=> (5+6)-x = 4

=> 11-x = 4

(subtract both the sides by 11)

=> -x = -7

(divide both the sides by -1)

=> x = 7

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Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

Answer:

Lillian will have $170.56 in one year

Step-by-step explanation:

First we have to figure out what is 6.6% of 160.

160 * 6.6% = 10.56

Now we just add 160 with the 6.6% to figure out the answer.

160 + 10.56 = 170.56

So, the answer is 170.56 dollars.

Hope this helps! :)

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Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

Answer:

Use the table to complete the statements.

The x-intercepts shown in the table are  

(–2, 0)

and  

(2, 0

.

The y-intercept shown in the table is  

(0, –4)

.

Step-by-step explanation:

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2  

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.

Answer:

oil production: John d Rockefeller

steel manufacturing: Andrew Carnegie

Clothing: william cockerill

industrializatuon expansion: Frances Cabot Lowell

Step-by-step explanation:

Answer:

These are the answers

Step-by-step explanation:

The orbit of a planet is an ellipse, with the Sun at one of the two foci.

A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Hope it helped !

Answer:

The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...

Bernoulli formula: define focal length

Si unit of thrust: newton's third law of motion examples

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237​ ? 4.543

Answer: 21

Step-by-step explanation:4/4=1  5x4=20  20+1 = 21

[tex] \huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]

Let's substitute x with 5 to find the value of given expression ~

The value of the expression is 60.

According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.

(3(5) + 5)

(15 + 5)

= 20

The second step is to multiply 20 by 3.

20 x 3 = 60

To learn more about multiplication, please check: https://brainly.com/question/3385014

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

Answer:

(0, 1) and (1, 2)

Step-by-step explanation:

[tex]{ \rm{f(x) = {3}^{x} }}[/tex]

• Assume f(x) is one

[tex]{ \rm{ {3}^{x} = 1}}[/tex]

• Apply logarithms:

[tex]{ \rm{x log(3) = log(1) }} \\ \\ { \rm{x = 0 }}[/tex]

• Assume f(x) is 2

[tex]{ \rm{x = \frac{ log(2) }{ log(3) } }} \\ \\ { \rm{x = 1}}[/tex]

Answer:3

Step-by-step explanation:

It is because the letters in diagram A cannot go to 2 seperate numbers in diagram B

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

Answer:

9

Step-by-step explanation:

The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.

Answer:

the y intercept is 0

Step-by-step explanation:

i used a slope to help me find the y-intercept

The answer is A. y=2x+1

A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.

Hope this helps. & don't forget to drink water <3

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1

Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation:

Answer:

Lena can buy candy in infinite no of ways with the possible amounts:-

1 pound of candy = $7

1.1 pound of candy = $7.7

2 pounds of candy = $14

3 pounds of candy = $21

4 pounds of candy = $28

5 pounds of candy = $35

6 pounds of candy = $42

7 pounds of candy = $49

8 pounds of candy = $56

9 pounds of candy = $63

10 pounds of candy = $70

11 pounds of candy = $77

11.9 pounds of candy = $83.3

24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.

4 3/4 inches would tie it, so now add 1/4 more inches:

4 3/4 + 1/4 = 5 inches.

He needs to jump 5 inches more.

Answer:

graph b

Step-by-step explanation:

Answer:

196 / 3 [tex]\pi[/tex]

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

Answer:

both of them are correct !

-1/1 = 0

and -1+1 = 0, and 0/-1 equals 0

Step-by-step explanation:

Answer:

Irrational Number

Step-by-step explanation:

Mark as brainliest if correct