Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (negative 1 + 3 x) 4(1 + 3x)

Answer:

[tex]3x+\frac{7}{6}y[/tex]

Step-by-step explanation:

To simplify the expression, we first open the parenthesis, then we collect all the like terms. Lastly we simplify the like terms to its simplest form. Given that:

[tex]\frac{1}{2}(3x-\frac{2}{3} y)+3(\frac{x}{2}+\frac{1}{2}y )\\\\Firstly, we\ expand\ the\ parenthesis:\\\\=\frac{1}{2}(3x)-\frac{1}{2}(\frac{2}{3} y)+3\frac{x}{2}+3(\frac{1}{2} y)\\[/tex]

[tex]=\frac{3}{2}x-\frac{1}{3}y +\frac{3}{2}x+\frac{3}{2} y\\\\ Collecting\ like\ terms:\\\\=\frac{3}{2}x+\frac{3}{2}x-\frac{1}{3}y+\frac{3}{2}y\\\\Adding \ terms:\\\\=3x +\frac{7}{6}y[/tex]

Answer: 24 black horses

Step-by-step explanation:

Let the number of black horses = bl and

The number of Brown horses = br

Total number of horses = d

Of the horses in the field, only 25% of them are brown. That is,

25% of d = br

0.25d = br ........ (1)

The remaining horses are black. Which will be 100% - 25% = 75%. That is,

75% of d = bl

0.75d = bl ........(2)

But according to the question, there are 16 more black horses than brown horses. That is,

bl = br + 16 ..... (3)

The total number of horses d will be

d = br + bl ...... (4)

Substitute bl in equation 3 into equation 4

d = br + br + 16

d = 2br + 16 ..... (5)

Substitutes equation (1) into the equation (5)

d = 2( 0.25d ) + 16

d = 0.5d + 16

Collect the like terms

d - 0.5d = 16

0.5d = 16

d = 16/0.5

d = 32

Substitute 32 for d in equation (2).

bl = 0.75 × 32

bl = 24 horses.

Therefore, 24 horses are black.

Answer:

11.5% loss

Step-by-step explanation:

Discount = 25%

SP= 1425

MP= CP+18%

Profit or loss% - ?

---------

SP= MP- 25%= MP*0.75= 1425

MP= 1425/0.75= 1900

MP= CP+18%= CP*1.18

CP= MP/1.18= 1900/1.18 ≈ 1610.17

SP< CP, so there is loss

Loss%= (1610.17- 1425)/1610.17*100%= 11.5%

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Answer:

look below:

Step-by-step explanation:

Answer: See attachment - hopeful it helps -  

I will update post once I get it back --

Step-by-step explanation: Kindly give me brainly :)

Answer:

x = 7, -6

Step-by-step explanation:

Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:

x - 7 = 0

x = 7

x + 6 = 0

x = -6

Answer:

Step-by-step explanation:

(x-7)(x+6)=0

x-7=0/(x+6)

x cannot be -6

x-7=0

x=7

x+6=0/(x-7)

x+6=0

x=-6

The zeros are 7 and -6

====================================================

Explanation:

You can factor x^2+6x+9 into (x+3)^2, which turns into 1(x - (-3) )^2 + 0

So y = x^2+6x+9 becomes y = 1(x - (-3) )^2 + 0

That matches with vertex form y = a(x-h)^2 + k

The vertex is (-3,0). The y coordinate of the vertex directly tells us the minimum value. We know we have a minimum because a = 1 is positive. If a < 0, then we'd have a max y value instead.

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

Alternatively, compare y = x^2+6x+9 to the form y = ax^2+bx+c

We see that a = 1, b = 6, c = 9

The x coordinate of the vertex is

h = -b/(2a)

h = -6/(2*1)

h = -3

The x coordinate of the vertex is x = -3. Plug this into the original equation to find the y coordinate of the vertex

y = x^2 + 6x + 9

y = (-3)^2 + 6(-3) + 9

y = 9 - 18 + 9

y = -9 + 9

y = 0

The y coordinate of the vertex is y = 0. This is the smallest y output possible.

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract y on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

Answer:

y = 13.

Step-by-step explanation:

3/2(y-1) = y+5

3/2y - 3/2 = y + 5

3/2y - y = 5 + 3/2

1/2y = 6 and 1/2; 6.5; 13/2

y = 13.

To check out work...

3/2(13 - 1) = 13 + 5

3/2(12) = 18

3 * 6 = 18

18 = 18

On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.

Hope this helps!

Answer:

(-9, 0)

Step-by-step explanation:

To find the midpoint of the segment, we use the mathematical formula below;

(x,y) = {(x1+x2)/2 , (y1+y2)/2}

From the question;

(x1,y1) = (10,16)

(x2,y2) = (-28,-16)

Substituting these values into the equation we wrote above, we have;

(x,y) = (10-28)/2 , (16-16)/2

(x,y) = (-18/2, 0/2) = (-9,0)

Answer:

45°

Step-by-step explanation:

To find you answer, we take the inverse sin(√2/2). When you plug that into your calc, you get 45°.

Alternatively, if you learned and remembered your unit circle, inverse sin(√2/2) would be π/4.

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

Answer:

-32x-22y

Step-by-step explanation:

4x + 2y - 6(6x - 4y)

Use distributive property

4x + 2y - 6(6x - 4y)

4x + 2y - 36x -24y

-32x-22y

Step-by-step explanation:

4x + 2y - 6(6x - 4y)

To remove the parenthesis multiply 6 by the terms in the parenthesis

That is

4x + 2y - 36x + 24y

Group like terms

4x - 36x + 2y + 24y

Simplify the terms

- 32x + 26y

Divide all terms by 2

we get

- 16x + 13y

I hope this helps you

Answer:

(x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

The centre is at (-2, 1) so the equation is:

(x + 2)^2 + (y - 1)^2  = r^2   where r is the radius.

The radius is the distance from the centre to the point (-5, -3).

Using the distance formula:

r = √ [(-3- 1)^2 + (-5 - -2)^2]

and r^2 = (-3- 1)^2 + (-5 - -2)^2

= (-4)^2 + (-3)^2

= 16 + 9

= 25.

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

Answer:

(-1, 1)

Step-by-step explanation:

The solution is where the 2 graphs intersect.

Answer:

2400

Step-by-step explanation:

Area of a trapezoid: (b₁ + b₂) / 2 * h

= (70 + 50) / 2 * 40

= 60 * 40 = 2400

Answer: 0.2

Step-by-step explanation:

subtract 9.38 - 3.5 = 5.88

distribute the 1.2.

7.56 - 8.4x = 5.88

subtract 5.88 - 7.56 = -1.68

-8.4x = -1.68

divide both sides by -8.4

answer = 0.2

Answer:

Option (B)

Step-by-step explanation:

By using the property of a triangle → " Sum of interior angles of a triangle is 180°"

Therefore, (4x - 40) + (x + 20) + x = 180°

(4x + x) + (-40 + 20) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, value of x will be 40.

Option (B) will be the correct option.

Answer:

She didn't do the multiplication of 7 times the fraction 5/8 by using distributive property.

so the correct answer is the one that looks like:

Seven was not multiplied by StartFraction 5 over 8 EndFraction.

in your list of options.

Step-by-step explanation:

If one has a stack of seven books each [tex]2\frac{5}{8} \,\,in[/tex] thick, one should first convert the mixed number to an addition of an integer plus a fraction

[tex]2\frac{5}{8} =(2+\frac{5}{8})[/tex]

as she did, and then multiply 7 by the addition, making sure to use distributive property and multiply both terms:

[tex]7\,\,(2+\frac{5}{8})=7\,*\,12+7\,*\,\frac{5}{8}=14+\frac{35}{8}[/tex]

and she didn't do the multiplication of 7 times the fraction 5/8

Answer:

No Like terms

Step-by-step explanation:

x^3-y^3= No like terms (its simplified)

x^6-y^6= No like terms  (its simplified)

x^4+ x^2y^2+y^4​ = No like terms  (its simplified)

Hope this helps! Have a nice day :)

Answer:

x^2+xy+y^2

Step-by-step explanation:

HCF is x^2+xy+y^2 as it is the factor of all three polynomials

Answer:

50m

Step-by-step explanation:

The model rocket is 4% of the actual rocket and it is 2m high

That means that 4%=2m

4 fits into 100, 25 times so multiply both by 25:

100%=25*2m

100%=50m

100% being the actual rocket

hope this helped!

Answer:

Option D is the right option.

solution,

[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]

Hope this helps..

Good luck on your assignment.

Hope

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

Number of countries visited = numerical, discrete

Scale of dreading semester = categorical, ordinal

=========================

Explanation:

Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.

Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

Answer:

The container's capacity could be anything from 55,000 to 65,000. Exactly 10% of that is anything from 5500 to 6500.

The amount of water poured in could be anything from 5350 or 5450. That is NOT in the range above, so the answer is NO.

No, Tony is not correct.

The following information should be considered:

Based on the above information we can conclude that tony is not correct.

Learn more: brainly.com/question/3299455

Answer:

≈ 5.9

Step-by-step explanation:

AC/3= 5.5/2.8

AC= 5.5*3/2.8

AC ≈ 5.9

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11