Which shows the rational expression written using the least common denominator?
x+1/4x^2 + x+1/x^2

A) x+1/4x^2 + 4(x+1)/4x^2
B) x+1/x^2 + x+1/x^2
C) x+1/x^2 + 4(x+1)/x^2
D) x+1/4x^2 + x+1/4x^2

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

Answer:

The answer is below

Step-by-step explanation:

A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.

An object is congruent to another object if the object can be mapped to the other object when transformed.

Answer:

The answer is c

Step-by-step explanation:

It is the correct solution because you are able to map circle m onto m

Answer:

Ratio of sugar and flour

2:7

Ratio of milk and oil

3:1

Step-by-step explanation:

Here in this question, we shall be writing ratios based on the given number of cups in the question.

We start with ratio of sugar to flour.

We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7

Also we want the ratio of milk and oil

we have 3 cups of milk and 1 cup of oil

So the ratio of milk and oil is 3:1

Answer: TO be short for it its B! :D

A cake mix calls for these ingredients.

2 cups of sugar

7 cups of flour

3 cups of milk

1 cup of oil

Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?

3/7 > 2/1

2/7<3/1

7/1<2/3

3/2>1/7

2

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jazminlowery

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2/7<3/1

with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as

3 cups of milk to 1 cup of oil is a larger ratio/fraction.

douwdek0 and 60 more users found this answer helpful

THANKS

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Answer

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ColinJacobus

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3.7K answers

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Answer:  The correct option is (B).

The ratio of  sugar to flour is  and the ratio of milk to oil is

Step-by-step explanation:  Given that a cake mix calls for the following ingredients:

2 cups of sugar , 7 cups of flour , 3 cups of milk  and 1 cup of oil.

We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.

The ratio of sugar to flour is given by

and the ratio of milk to oil is given by

Since

so have

Thus, the ratio of  sugar to flour is  and the ratio of milk to oil is  The correct comparison is

Option (B) is CORRECT.

Step-by-step explanation:

Answer:

The correct option is;

c. ∠A ≅ ∠D

Step-by-step explanation:

The given information are;

[tex]\overline{AB}\cong \overline{DE}[/tex]                      

[tex]\overline{AC}\cong \overline{DF}[/tex]

Therefore, for Side Angle Side, SAS, condition of congruency, we have;

The included angle should be congruent that is ∠C ≅ ∠D

Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.

For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).

Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

Learn more about SAS congruence theorem on:

https://brainly.com/question/14252518

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

Answer:

11.9 cm.

Step-by-step explanation:

A cube has a SURFACE AREA of 850 cm^2.

A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.

Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).

[tex]\sqrt{141.666666666667}[/tex]

= 11.90238071

So, the side length of the cube is 11.9 cm.

Hope this helps!

Answer:

[tex] A = 350\pi \approx 1100 [/tex]

Step-by-step explanation:

The shaded area is a sector with a central angle of 45 deg.

The total measure of the central angle of a full circle is 360 deg.

The central angle of the unshaded sector is

360 deg - 45 deg = 315 deg

The area of a sector of a circle with a central angle of n degrees and a radius r is

[tex] A = \dfrac{n}{360}\pi r^2 [/tex]

[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]

[tex] A = 350\pi \approx 1100 [/tex]

Answer:

I thinks it's B.not sure...

The deviation of the mean between the sample is less in option B.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.

If the deviation of the mean between the sample is more, then the deviation will be more.

Let's check all the options.

A. 12, 14, 13, 14, 12, 13, 12

The mean is calculated as,

Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7

Mean = 12.86

B. 1,6,3, 15, 4, 12,8

The mean is calculated as,

Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7

Mean = 7

C. 20, 21, 23, 19, 19, 20, 20

The mean is calculated as,

Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7

Mean = 20.28

D. 3,4,3, 4, 3, 4, 3

The mean is calculated as,

Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7

Mean = 3.43

The deviation of the mean between the sample is less in option B.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

Answer:

31 cm

Step-by-step explanation:

The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.

Answer:

72º

Step-by-step explanation:

Hey there!

Well the interior of a pentagon's angle is 108º,

so we do,

180 - 108 = 72º

Hope this helps :)

Answer:

72°

Step-by-step explanation:

→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides

(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°

→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles

540° ÷ 5 = 108°

→ Now, remember the fact that 1 interior + 1 exterior angle = 180°

180 - ( 1 interior angle ) → 180 - (108) = 72°

Answer:

-5

Step-by-step explanation:

2^2*(3-8)÷5-1

4*(-5)÷4

-20÷4

=-5

Answer:

-5

Step-by-step explanation:

Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5

Answer:

96[tex]\sqrt{3}[/tex] cm²

Step-by-step explanation:

A hexagon can be cut into 6 equilateral triangles.

Using the half shown in the diagram to calculate the apothem a , and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

a = 4[tex]\sqrt{3}[/tex] cm

The area (A) can be calculated using

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )

The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )

p = 6 × 8 = 48 cm, so

A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²

Answer:

volume 1 =763 cm3

volume 2 = 6,104 cm3

Second volume is 8 times greater than the first volume.

Surface area 1 = 466 cm2

surface area 2 =1,865 cm2

second surface area is 4 times greater than the first surface area .

Step-by-step explanation:

Volume of a cylinder: π radius^2 x height

Radius = diameter /2 = 9/2 = 4.5

V = 3.14 x 4.5^2 x 12 = 763 cm3

Surface area: (3.14 r^2)2 + 2(π x radius x height)

Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2

Since the second canister is double the size:

Radius = 4.5 x 2 = 9

Height = 12 x 2 =24

V = 3.14 x 9^2 x 24 = 6,104 cm3

Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2

Dividing the second volume by the first one:

6,104/ 763 = 8  

Second volume is 8 times greater than the first volume.

Dividing the second surface area by the first one:

1865/466 = 4

second surface area is 4 times greater than the first surface area .

Answer:

40 apples

Step-by-step explanation:

2 apples= [tex]\frac{1}{5}[/tex] grams

x apples= 4 grams

 8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40

Answer:

40

Step-by-step explanation:

edu instruction correct

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Answer:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

Step-by-step explanation:

2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25

hope it helps

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

Answer:

[tex]7\sqrt{6}[/tex]

Step-by-step explanation:

You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.

We can also check this.

[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35

[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8

[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15

7.35+9.8 = 17.15

Hope this helped!

Answer:

17.15

Step-by-step explanation:

[tex]3\sqrt{6}[/tex]

Square root of 6 is about 2.45

2.45 * 3 = 7.35

[tex]4\sqrt{6}[/tex],

Square root of 6 is about 2.45,

2.45*4 = 9.8

7.35 + 9.8 = 17.15

Answer:

  9.1 mph

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  s = √(30×drag factor×skid distance×braking efficiency)

  s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06

The car was traveling about 9.1 mph before it started skidding.

Answer:

d

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

50 = ( x+2) ( x-3)

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0   x+7 =0

x = 8   x=-7

Since the length cannot be negative x cannot be negative

x=8

Answer:

8

Step-by-step explanation:

put the 50 under area and continue with like that

Answer:

The cost is $.08 per ounce or 8 cents per ounce

Step-by-step explanation:

1 quart = 32 ounces

2 quarts = 64 pints

2 quarts costs 5.12

Take the cost and divide by the number of ounces

5.12 / 64

.08 per ounce

The cost is $.08 per ounce or 8 cents per ounce

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

Explanation:

1 quart = 32 fluid ounces

2 quarts = 64 fluid ounces (multiply both sides by 2)

He paid 5.12 dollars for 64 fluid ounces, so the unit rate is 5.12/64 = 0.08 dollars per fluid ounce, or 8 cents per fluid ounce.

---------

We can think of it this way in terms of an equation

5.12 dollars = 64 fluid ounces

5.12/64 dollars = 64/64 fluid ounces ... divide both sides by 64

0.08 dollars = 1 fluid ounce

We divided both sides by 64 to turn "64 fluid ounces" into "1 fluid ounce", due to how the term "unit rate" is set up. The term "unit" means "one". Basically we're finding the cost per 1 unit, or per 1 fluid ounce.

Answer:

166.07

Step-by-step explanation:

since the domain is [0,89] means the maximum amount is when x=89

vertex is where it reached the maximum amount:(44.512,166.07)

Answer:

0.03

Step-by-step explanation:

Khan

The amount of money the Trevor's family pay per minute on shower water is $0.03

Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter

= 72 / 480 × 0.20

= 0.15 × 0.20

= $0.03

Learn more about cost:

https://brainly.com/question/19104371

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

Answer:

901.1 km²

Step-by-step explanation:

The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),

Where a and b, are two known sides of the triangle, and θ is the angle between both sides.

To find the area of ∆WXY, follow the steps below:

Step 1: Find XY using the law of sines.

m < W = 180 - (65 + 48) (sum of angles in a ∆)

W = 180 - (113) = 67°

X = 65°

WY = 49 km

XY = ?

[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]

[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]

[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]

Cross multiply

[tex] XY*0.91 = 49*0.92[/tex]

Divide both sides by 0.91

[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]

[tex] XY = 49.54 [/tex]

XY ≈ 49.5

Step 2: find the area

Area = ½*WY*XY*sin(Y)

Area = ½*49*49.5*sin(48)

Area = ½*49*49.5*0.743

Area = 901.07325

Area = 901.1 km² (nearest tenth)