Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

Answer:

Half of its original

Step-by-step explanation:

When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.

Examples:

In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2

In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.

Hope this helps

Good luck

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A.) 4/100

B.) 5,250,000

C.) C. 6/100

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

A) 4/100

B) 5,250,000

C) C) 6/100

Step-by-step explanation:

A) the 4 is in the hundredths place, so it’s worth 4/100.

B) 5,250,000. (250,00 is a quarter million)

C) the 6 is in the hundredths place, so it’s worth 6/100.

Answer:

c

Step-by-step explanation:

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

40.8 = 6.28r

r = 40.8/6.28

r = 6.5

Radius is 6.5 millimeters

Area = πr²

Area = 3.14 × 6.5 × 6.5

Area = 132.7m²

Answer:

187

Step-by-step explanation:

2*89=178

178+2=180

180-63=117

117+70=187

Answer:

47

Step-by-step explanation:

You'd have to follow PEMDAS.

First we multiply:

89*2=178.

Now we add:

178+2=180

AND

63+70=133.

Finally, we subtract:

180-133=47.

Hope this helps!! <3

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

Answer:

Step-by-step explanation:

7(42 ÷ 3) + 4 (72 + 53) + 8 (-3)4

7(14) + 4(125) + 8(-12)

98 + 500 - 96

    598 - 96

        502

Answer:

Step-by-step explanation:

[tex]7(42 \div 3) + 4(72 + 53) + 8 \times ( - 3) \times 4[/tex]

Divide the numbers

[tex] = 7 \times 14 + 4(72 + 53) + 8 \times ( - 3) \times 4[/tex]

Add the numbers

[tex] = 7 \times 14 - 4 \times 125 + 8 \times ( - 3) \times 4[/tex]

Calculate the product

[tex] = 7 \times 14 + 4 \times 125 - 96[/tex]

Multiply the numbers

[tex] = 98 + 500 - 96[/tex]

Add the numbers

[tex] = 598 - 96[/tex]

Subtract the numbers

[tex] = 502[/tex]

Hope this helps..

Best regards!!

Answer:

The coordinates of point P are (-7/2, 5/4)

Step-by-step explanation:

Here, we want to give the coordinates of the point P that divide CD in the given ratio

To do this , we shall be making use of a mathematical formula;

Let’s say the ratio 1:3 represents a:b, our formula those becomes

{(bx1 + ax2)/(a + b) ,( by1+ay2)/a+b}

From the question, we can identify that

(x1,y1) = (-6,-1)

(x2,y2) = (4,8)

a = 1 and b = 3

Plugging these values into the formula we have

3(-6) + 1(4)/(1+3) , 3(-1) + 1(8)/(1+3)

= (-18 + 4)/4 , (-3+ 8)/4

=-14/4, 5/4

= (-7/2, 5/4)

Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{\text{VX}}{\text{WX}}[/tex]

Sin(34)° = [tex]\frac{VX}{15}[/tex]

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

a. True.

b. False.

c. True.

d. True.

e. True.

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

Answer:

Δ BEC ≅ Δ AED

Step-by-step explanation:

Consider triangles BCA and ADB. Each of them share a common side, AB. Respectively each we should be able to tell that AD is congruent to BC, and DB is congruent to CA, so by SSS the triangles should be congruent.

_________

So another possibility is triangles BEC, and AED. As you can see, by the Vertical Angles Theorem m∠BEC = m∠ADE, resulting in the congruency of an angle, rather a side. As mentioned before AD is congruent to BC, and perhaps another side is congruent to another in the same triangle. It should be then, by SSA that the triangles are congruent - but that is not an option. SSA does is one of the exceptions, a rule that is not permitted to make the triangles congruent. Therefore, it is highly unlikely that triangles BEC and AED are congruent, but that is what our solution, comparative to the rest.

Δ BEC ≅ Δ AED .... this is our solution

Answer:

Area of the triangle WXY = 365.3 mm²

Step-by-step explanation:

By applying Sine rule in the given triangle XYW,

[tex]\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{YW}}[/tex]

[tex]\frac{\text{Sin70}}{\text{WX}}=\frac{\text{Sin43}}{\text{24}}[/tex]

WX = [tex]\frac{24.\text{Sin70}}{\text{Sin43}}[/tex]

      = 33.068 mm

      = 33.07 mm

Area of a triangle = [tex]\frac{1}{2}a.b.\text{Sin}\theta[/tex]

where a and b are the sides of the triangle and θ is the angle between the sides a and b.

Area = [tex]\frac{1}{2}(33.07)(24)\text{SinW}[/tex]

Since, m∠X + m∠Y + m∠W = 180°

m∠W =  180 - (43 + 70)

         = 67°

Area of the triangle WXY = [tex]12\times (33.07)\text{Sin67}[/tex]

                                          = 365.29 mm²

                                           ≈ 365.3mm²

Answer:

Step-by-step explanation:

The figure above is a quadrilateral

Angles in a quadrilateral add up to 360°

To find x add up all the angles and equate them to 360°

That's

6x + 4x + 3x + x + 10 = 360

14x = 350

Divide both sides by 14

x = 25°

Hope this helps you

Answer:

D: As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

Since we are dealing with end behavior, we look at the graph infinitely:

When x-values go to negative infinity, we see that f(x) values go to positive infinity.

When x-values go to positive infinity, we see that f(x) values also go to positive infinity.

Therefore. our only correct answer is D.

Answer:

The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.

Step-by-step explanation:

hope this helps!

Answer: 2 or B

Step-by-step explanation:

[tex](-a+3)(a+4)=-a^2-a+12[/tex].

Hope this helps.

Answer:

-a²-a+12

Step-by-step explanation:

-a²+3a-4a+12

-a²-a+12

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (2, - 1), thus

y - (- 1) = - 5(x - 2) , that is

y + 1 = - 5(x - 2) → C

Answer:

Option C is the correct option

Step-by-step explanation:

The general form of point slope form of line is :

[tex]y - y1 =m ( x - x1)[/tex]

Where ( x1 , y1 ) is one point on the line and m is the slope.

In the given problem,

The slope of line ( m ) = - 5

One point on the line = ( x1 , y1 ) = ( 2 , -1 )

The point slope form of the line is:

y - ( - 1 ) = - 5 ( x - 2 )

y + 1 = - 5 ( x - 2 )

Hope this helps..

Best regards!!

First solve for y in [tex]2x - 3y \le 12[/tex] to get [tex]y \ge \frac{2}{3}x-4[/tex]. The inequality sign flips because we divided both sides by a negative value.

To graph [tex]y \ge \frac{2}{3}x-4[/tex] we need to graph the boundary line y = (2/3)x - 4. This line has a y intercept of (0,-4) and another point on the line is (6,0).

Draw a solid line through (0,-4) and (6,0). The boundary line is solid because of the "or equal to" part of the inequality sign. The last part is to shade above the boundary line because of the "greater than" sign in [tex]y \ge \frac{2}{3}x-4[/tex].

---------------

As for graphing y < -3, we draw a horizontal dashed line through -3 on the y axis. The line is dashed because there is no "or equal to" here. We do not include boundary points as part of the solution set. Shade below this dashed line due to the "less than" sign.

---------------

After doing both of these things on the same xy grid, you'll get something that looks like choice C. I'm assuming choice C has a dashed line for the red region.

The graph is image 2. (last option)

We first draw the lines 2x - 3y = 12 and y=-3. Image 1.

For 2x - 3y ≤ 12

or, 2x - 12 ≤ 3y

or, 3y ≥ 2x - 12

or, y ≥ (2x - 12)/3

we shade upwards.

For y < - 3 we shade below.

So the graph is image 2.

Learn more: https://brainly.com/question/8806877

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

Answer:

-3

Step-by-step explanation:

You have get a graphing calculator and press y=.

Then you would type in the equation.

Then click second, graph after you type the equation.

Then scan through the t graph for the value that causes the equation to be 0

Answer:

X=3.5

Step-by-step explanation:

9=x2+2

9-2=x2

(9-2)÷2=x

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

Answer:

B

Step-by-step explanation:

A coin has two sides so there is a 50% chance of getting heads or tails.

Answer:

a) 1/4

b) 3/4

c) 1/4

Step-by-step explanation:

Possible outcomes of two tosses of a coin:

HH

HT

TH

TT

There is a total of 4 possible outcomes.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

a) 2 heads

HH     <-------  1 desired outcome

HT

TH

TT

p(2 heads) = 1/4

b) at least 1 head

HH   \  

HT      }     <------ 3 desired outcomes

TH    /

TT

p(at least 1 head) = 3/4

c) no heads

HH

HT

TH

TT    <------- 1 desired outcome

p(no heads) = 1/4

Answer:

3. 7/12.

4. 7/5.

5. 1.

Step-by-step explanation:

The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:

Slope = Δy /Δx

Δy = y2 – y1

Δx = x2 – x1

With the above formula in mind, let us answer the questions given above.

3. Point => (–8, –2) (4, 5)

x1 = –8

x2 = 4

Δx = x2 – x1

Δx = 4 – –8

Δx = 4 + 8

Δx = 12

y1 = –2

y2 = 5

Δy = y2 – y1

Δy = 5 – – 2

Δy = 5 + 2

Δy = 7

Slope = Δy /Δx

Slope = 7/12

4. Point => (3, –5) (8, 2)

x1 = 3

x2 = 8

Δx = 8 – 3

Δx = 5

y1 = –5

y2 = 2

Δy = y2 – y1

Δy = 2 – – 5

Δy = 2 + 5

Δy = 7

Slope = Δy /Δx

Slope = 7/5

5. Point => (–4, –5) (4, 3)

x1 = –4

x2 = 4

Δx = x2 – x1

Δx = 4 – –4

Δx = 4 + 4

Δx = 8

y1 = –5

y2 = 3

Δy = y2 – y1

Δy = 3 – – 5

Δy = 3 + 5

Δy = 8

Slope = Δy /Δx

Slope = 8/8

Slope = 1

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3                2. 12                3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

Answer:

B -5, and 5

Step-by-step explanation:

you can't have zero on the bottom

Answer:

7 x 9 x 11 x 13  +  13  is a composite number because the answer is a positive number which is 9022.

7 x 9 x 11 x 13  +  13  is a positive integer that can be formed by multiplying small positive numbers which are 7, 9, 11 and 13. Equivalently, 9022 is a positive integer that has at least one divisor other than 1 and itself. For example, 9022 can be divided by 2. 9022 is exactly a number but it is not a prime number.

I hope you will understand my explanation!

Answer:

The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)

Step-by-step explanation:

For 2·x²·(x - 11) + 4·(17·x - 12)

h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8

For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;

h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8

For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;

h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8

For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;

h(5) = 2×5^3 - 22×5^2 + 68× 5  - 48 = -8

Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized

Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).

Answer:

x > or equal to 0

Step-by-step explanation:

you're welcome

Answer:

x > or equal to 0