A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

0=(-9)

Step-by-step explanation:

4x + 7 = -2 + 4x

4x + 7 = 4x -2

subtract 7 from both sides of the equation.

simplify your answer.

subtract 4x from both sides of the equation.

simplify your answer again.

4x + 7 = 4x -2

___-7 = 4x -7

4x __ = 4x -9

__4x = 4x -9

-4x = -4x -9

__0 = -9

the input is a contradiction: it has no solutions.

Answer: y= -3(x+4)

Step-by-step explanation:

Answer:

enlarge by scale factor -1/2, centre 6,5

Answer:

x=−3 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+3)(x−7)=0

Step 2: Set factors equal to 0.

x+3=0 or x−7=0

x=−3 or x=7

Answer:

(-3,7)

Step-by-step explanation:

Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by [tex]a[/tex].

To find:

The equation that could be used to correctly solve for [tex]a[/tex].

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = [tex]2a[/tex]

After three years,

Pato's age = [tex]a+3[/tex]

Yamir's age = [tex]2a+3[/tex]

In three years, the sum of their ages will be 30.

[tex](a+3)+(2a+3)=30[/tex]

[tex](a+2a)+(3+3)=30[/tex]

[tex]a+2a+6=30[/tex]

Therefore, the correct option is 2.

The area of triangle IJK is 999.8 square centimeters

The given parameters are:

[tex]\angle I = 120^o[/tex]

[tex]\angle J = 59^o[/tex]

[tex]i = 340cm[/tex]

Start by calculating the length of side j using the following sine ratio

[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]

Make j the subject of the formula

[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]

Substitute known values

[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]

Evaluate the expression

[tex]j = 337[/tex]

Next, calculate angle K using the following sum of angles formula

[tex]\angle I + \angle J + \angle K =180[/tex]

Substitute known values

[tex]120 + 59 + \angle K =180[/tex]

[tex]179 + \angle K =180[/tex]

Subtract 179 from both sides

[tex]\angle K =1[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]

So, we have:

[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]

Evaluate

[tex]Area = 999.8[/tex]

Hence, the area of triangle IJK is 999.8 square centimeters

Read more about areas at:

https://brainly.com/question/2391510

Answer:

if Y=-3 and 4y is the equation then the answer is -27

Answer:

4y=-12

4+y=1

Step-by-step explanation:

when y=-3

then you substitute the value of y into the questions

4(-3)=

4×-3

=-12

4+y

4+(-3)

we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)

so therefore,

4-3

=1

Answer:

see explanation

Step-by-step explanation:

The zeros of the graph are x = - 4 and x = 2 , then the factors are

(x + 4)(x - 2) and

y = a(x + 4)(x - 2) ← a is a multiplier

To find a use any other point on the graph and substitute into the equation

Using (0, - 8 ) , then

- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )

1 = a

y = (x + 4)(x - 2) = x² + 2x - 8

with b = 2 and c = - 8

The graph is increasing from the turning point ( vertex) to the right

vertex = (- 1, - 9 )

Increasing in the interval [- 1, ∞ )

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

Answer:

2.389 × 10^5

Step-by-step explanation:

the coefficient must be between 1 to 10

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

Answer:

I am sooo sorry I really need the points

Step-by-step explanation:

Soooo sorry

Answer:

$55.35

Step-by-step explanation:

10 x 9.98 = 99.80

15 x 12.99 = 194.85

350 - 194.85 = 155.15

155.15 - 99.80 = 55.35

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

Answer:

6

Step-by-step explanation:

AP^2 = PC * PB

We have PC and BC. We need PB.

PC = 12

BC = 9

PB + BC = PC

PB + 9 = 12

PB = 3

AP^2 = 12 * 3

AP^2 = 36

AP = 6

Answer: 6

Answer:

Hey!

Step-by-step explanation:-

to solve this, the equation  PB X PC = [tex]AP^{2}[/tex]  can be used

In the ques, its given that PC= 12cm and BC = 9.

To solve this, WE NEED TO FIND PB, SO:-

PB + BC = PC

PB + 9 = 12

PB = 3cm.

Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]

[tex]AP^{2}[/tex] = PB x PC

[tex]AP^{2}[/tex] = 3 X 12

[tex]AP^{2}[/tex] = 36

AP = [tex]\sqrt{36}[/tex]

Answer:

42 I think LOL

Answer:

V=πr^2h=π·8^2·6≈1206.37158

Step-by-step explanation:

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

[tex]a_{n}[/tex] = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

[tex]a_{n}[/tex] =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

[tex]a_{n}[/tex]   = 301

using the formula of nth term

[tex]a_{n}[/tex]  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

To know more about A.P sequence here:

https://brainly.com/question/24205483

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Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Answer:

4x+7 I believe but it could be wrong

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches