Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

Answer:

No solutions

Step-by-step explanation:

This function would place the parabola above the x axis, so there are no x intercepts

Answer:

D

Step-by-step explanation:

There are no x-intercepts, so this has no solutions.

Hope this helps!

Answer:

729m^2

Step-by-step explanation:

Area of rectangle  = length x width

From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)

width = 3^2 = 9.

Now for the area: length x width = 81 x 9 = 729m^2.

Please mark brainiest.

Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Answer:

x=10

Step-by-step explanation:

x-4=6

To isolate x, you can add 4 to both sides of the equation:

x-4+4=6+4

x=10

Hope this helps!

Step-by-step explanation:

x=10

Answer:

alternate exterior angles

Step-by-step explanation:

The two horizontal lines are simply two lines.

The other line is a transversal since it intersect the two lines at two different points.

Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:

alternate exterior angles

Answer:

Step-by-step explanation:

18

Answer:

1/3 I think I am not sure tho.

btw I know st math I used to do that to! LOL!

Step-by-step explanation:

If I am please mark me BRAINLIEST!

Answer:

Angle measure two is equal to 75º and Angle measure one is equal to 105º

Step-by-step explanation:

I know this because angle one is alternate exterior angle with angle 7 and angle seven forms a staight line with angle 75 so to find angle 7 you have to do 180-75 and that would equal 105.

for angle two it is interior angles with angle 75 so this means that are congruent angles which means they both have the same measure

Answer: <2 is 75 degrees & <1 is 105 degrees

Step-by-step explanation:

Answer:

32x^3 + 4x^2  + 41x - 35

Step-by-step explanation:

Multiply each of the terms in bracket 1 with those in bracket 2.

4x^2 x 8x = 32x^3

4x^2 x -5 = -20x^2

3x x 8x = 24x^2

3x x -5 = - 15x

7 x 8x = 56x

7 x -5 = -35

Now, put them together and simplify:

32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35

After simplifying:

32x^3 + 4x^2  + 41x - 35

Please Mark Brainiest

Answer:

x = 7.5

Step-by-step explanation:

Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values

[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

Answer:

£2,750

Step-by-step explanation:

Tax rule:  25% tax on any income above £24,000 per year

It means that upto  £24,000 there is no tax and the amount above  £24,000

is taxable.

Annual payment of Dana =  £36,000

Hence, she will be taxed only on amount above  £24,000 out of £36,000.

Lets find amount above  £24,000 =  £36,000- £24,000 =  £12,000

Tax on  £12,000 = 25% of  £12,000 = 25/100 *  £12,000 =  £3,000

Thus,  £3,000 will be deducted as tax annually out of total earning of  £36,000.

Amount paid to Dana after deduction of tax annually =  £36,000 -  £3,000

Amount paid to Dana after deduction of tax annually is £33,000

As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000

the amount of money she receives after tax in 12 month =  £33,000

Dividing LHS and RHS by 12

The amount of money she receives after tax in 12/12 month =  £33,000/12

The amount of money she receives after tax in 1 month =  £2,750

The amount of money Dana receives after tax each month is £2,750.

Answer:

I think it's number one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

each time the step changes, the amount of vertices(points) increases by 1. the last number of points was 4, so if you increase 4 by 1 you will get 5. figure B has 5 points!

Answer:

Option B

Step-by-step explanation:

With the circle series, there is a figure with an increasing number of points that are on the circle.

Circle one has two dots, circle two has three dots, circle three has four dots, etc.

It would make the most sense if the circle in the next series have five dots.

Option B should be the correct answer.  

Answer:

B:(x-2)^2+(y-1)^2=64

Step-by-step explanation:

center is (2,1), point is (2,9)

so the radius=9-1=8

(x-2)^2+(y-1)^2=64

Answer:t=8

Step-by-step explanation:

solve for t by simplifying both sides of the equation,then isolating the variable

Answer:

[tex]t = 8[/tex]

Step-by-step explanation:

→You need to get "t," by itself, and to do this, you must multiply both sides by the reciprocal of [tex]\frac{1}{4}[/tex], which is 4. You are multiplying because you can't divide by a fraction.

[tex]\frac{1}{4} t=2[/tex]

[tex]4*\frac{1}{4} t=2*4[/tex]

[tex]t = 8[/tex]

Answer:

A and D

Step-by-step explanation:

We have to create a perfect square. To make x^2+bx+c into a perfect square, c has to be (b/2)^2. In this case, b is -10. so, c has to be (-10/2)^2, which is 25. To make the left hand side 25, we would have to add 30 to both sides.

This leads to a new equation:

x^2 - 10x + 25 = 9+30

x^2 - 10x + 25 = 39

Now, we can change the left hand side to a perfect square.

(x-5)^2 = 39. (the -5 is b/2)

Then we square root both sides;

x-5 = +/- sqrt39. (When you square root an expression, remember that you need to include both the positive AND negative)

x = 5-sqrt39 or 5+sqrt39

Answer:

B

Step-by-step explanation:

M is a factor of N and [tex](1+r)^t[/tex], which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Answer:

Step-by-step explanation:

[1,2]

local maxima means curve is curved downwards.

in [1,2] it is curved downward.

Answer:

The answer is [1,2]

Step-by-step explanation:

Do you understand now.

Feel free to ask for further explanation

Answer:

4(-2) + 8(4) / 7 - (-2)²

-8 + 32 / 7 - 4

24 / 3

= 8

Step-by-step explanation:

Answer:

40 pages

Step-by-step explanation:

240/12 = 20 = pages read in 1 hour

20 x 2 = 40 = pages read in 2 hours

The horizontal distance from Mike to the kite will be 12 feet.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Now,

Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Let the horizontal distance from Mike to the kite = x feet

Hence, We can formulate;

⇒ 20² = x² + 16²

⇒ 400 = x² + 256

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = 12 feet

Thus, The horizontal distance from Mike to the kite will be 12 feet.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

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Answer: a+b = 12

Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto

a+2 = 2(3)

a=4

10 = 2(b-3)

b=8

Luego a+b = 12

Aswer:

[tex]\frac{(x-1)(x-3)}{x-1}[/tex]

Step-by-step explanation:

Answer:

x-3:m=1

Step-by-step explanation:

Answer:

a7=1458

Step-by-step explanation:

2; -6; 18... a geometric progression

a1=2; a2=-6; a3=18

r=a2/a1=-6/2

r= -3

a7=a1*r⁶

a7=2*(-3)⁶=2*729

a7=1458

[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]

Answer: 48 red drops

Step-by-step explanation:

ratio of yellow food drops to red food drops is 8:12

8:12 simplifies to 2:3

2:3 = 2/5:3/5

2x/5 = 32 = # of yellow drops (where x is the total # of drops)

2x/5 = 32

2x = 160

x = 80

Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)