Solve the proportion. Round to the nearest hundredth if necessary
[tex] \frac{x + 6}{x} = \frac{10}{7} [/tex]
​

Given:

10 boys clear a piece of land in 21 days.

To find:

The number of days it will take 7 boys to clear the same land at the same rate.

Solution:

We have,

10 boys clear a piece of land in 21 days.

Total work = [tex]10\times 21[/tex]

                 = [tex]210[/tex]

Let 7 boys clear the same piece of land in x days.

Total work = [tex]7\times x[/tex]

                 = [tex]7x[/tex]

Now, the total work is same.

[tex]7x=210[/tex]

Divide both sides by 7.

[tex]x=\dfrac{210}{7}[/tex]

[tex]x=30[/tex]

Therefore, 7 boys clear the same piece of land in 30 days.

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

Answer:

7e = 63

Step-by-step explanation:

5e = 45

divide by 5 on both sides

5e/5 = 45/5

e = 9

So all you have to do is multiply 7 by 9 since ur substituting the x with ur answer

7(9) = 63

7e = 63

Hope this helped

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

First, we know that the mean is the sum of the number divided by the amount, so if we take the answer we have, 6, and multiply that by the amount of number, 5, then we get 30.

Now we add the numbers in the ratio, so 1 + 3 + 3 + 4 + 4 = 15

15 x 2 = 30

This means we need multiply the numbers in the ratio by 2 to get

2 + 6 + 6 + 8 + 8 = 30

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex], thus

[tex]\frac{sum}{5}[/tex] = 6 ( multiply both sides by 5 )

sum = 30

sum the parts of the ratio, 1 + 3 + 3 + 4 + 4 = 15 parts

30 ÷ 15 = 2 ← value of 1 part of the ratio, thus

3 parts = 3 × 2 = 6

4 parts = 4 × 2 = 8

Thus the 5 numbers are

2, 6, 6, 8, 8

Answer:

1.06

Step-by-step explanation:

To the nearest hundredth, the answer is 1.06.

Answer

69°F

Because

12+57=69

Answer:

The polygon has 9sides with an interior angle measure of 140°

Step-by-step explanation:

The exterior angle of a regular polygon=360°/n

40°=360°/n

n=360°/40°=9

So the polygon has 9 sides thus, a nonagon.

The measure of the interior angle=(n-2)180°/n

=(9-2)×180°/9=140°

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Answer:

£15

Step-by-step explanation:

Angad : Nick = 5 : 1

Let

Nick share = x

Angad share = x + £60

Angad : Nick

5 : 1 = x + £60 : x

5/1 = x + 60 / x

Cross product

5 * x = 1 * x + 60

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

Nick get £15

Answer: B) −8x − 9

Step-by-step explanation:

5 − 2 (4x + 7)

Apply the distributive property.

5 − 2 (4x) − 2 ⋅ 7

Multiply 4 by −2.

5 − 8x − 2 ⋅ 7

Multiply −2 by 7.

5 − 8x − 14

Subtract 14 from 5.

−8x − 9

hope this helps :)

Answer:

b

Step-by-step explanation:

5-2(4x+7)

distribute

-8x-14

5-8x-14

5-14=-9

-8x-9

Answer:

Root: (-5,0)

Vertical Intercept: (0,-3)

m = -3/5

b = -3

Step-by-step explanation:

Step-by-step explanation:

Number of employees in 9 years

= 870 * (1 - 0.02)⁹

= 870 * (0.98)⁹

≈ 725 employees.

Answer:

A

Step-by-step explanation:

Here, we want to write the final formula for the equation after performing the given transformations

Reflection on the y-axis means the x-axis value will change sign

that will give:

y = -x^1/3

Transition of 3 units in the positive x axis

mathematically, we are adding 3 to x

so we have

y = -(x+3)^1/3

4 units in the negative y direction means we are subtracting 4 from the whole equation

That means;

y = -(x + 3)^1/3 - 4

This shows that the first option is right

Answer:

3,-2   5,-3   2,1

Step-by-step explanation:

all the points in the shaded region are the right answer

Answer:

ill say 75.00

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Answer:

A

x=months y=total payment

vote brainliest

Answer:

choose last option.

Step-by-step explanation:

Given

g(a) = - 2a² - 2

g(-4n) = - 2 ( -4n) ² - 2

= -2 * 16n² - 2

= -32n² - 2

Answer:

x=4

y=6

Step-by-step explanation:

We need to find value of x and y if RS bisects AB and RS = 28

We are given: RS = 28

and We can see from figure that: RT= 3y-7 and TS = 2y+5

And we can observe that RT + TS = 36

So, putting all the values, we can find value of y

[tex]3y-7+2y+5=28[/tex]

Solving this equation, will find value of y

[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]

So, we get value of y: y=6

Now, we also know that RS bisects the line AB. It means it divides both the lines equally.

So, we can write: AT = TB

Putting values we can find value of x

We have AT = 4x-2

TB = 4y+2

and y =6

[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]

So, we get value of x: x=4

Answer:

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°

The value of x from the figure is 4

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Answer:

Answers are in photo

Step-by-step explanation:

Do it in terms of ratio

Answer:

23446

76532

12839

09192

29292

Answer:

D.12^3 sgrt 15

Sana makatulong

The expression that is equivalent to the given expression is 12√15. Option D is correct.

Given that,
Which expression is equivalent to 21√15 - 9√15 is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
= 21√15-9√15
= (21 - 9 )√15
= 12√15

Thus, the expression that is equivalent to the given expression is 12√15. Option D is correct.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

Answer:

This is NOT a graph :)

Step-by-step explanation: