3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?​

Answer:

520

Step-by-step explanation:

100% - 15% = 85%

85% of the original price is  442 dollars

100% = x

solve for x:

x * 0.85 = 442

x= 520 dollars

regular price is 520 dollars.

Answer:

12y² + 9y + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4y² + 5y + 2 + 8y² + 4y + 5

Step 2: Simplify

Answer:

12y² + 9y + 7

Step-by-step explanation:

4y² + 5y + 2 + 8y² + 4y + 5

Simplify :-

4y² + 5y + 2 + 8y² + 4y + 5

4y² + 8y² + 5y + 4y + 2 + 5

12y² + 9y + 7

Answer:

1026

Step-by-step explanation:

Common difference = d = 2nd term  - first term

 d = -3 - (-11) = -3 +11 = 8

First term = a = -11

First we need to find the number of terms in this series

[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]

-11 + (n- 1) * 8 = 125

 (n-1)*8 = 125 + 11

 (n-1) * 8 = 136

n -1 = 136/8

n -1 = 17

  n = 17+1

 n = 18

[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]

   = 9 * 114

   = 1026

Answer:

Area = 36 squ. unit

Step-by-step explanation:

According to the Question,

by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).

Area = 1/2 * (sum of opposite side) * height

Area = 1/2 * (7+5) * 6

Area = 3*12

Area = 36 squ. unit

Answer:

36

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer:

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Step-by-step explanation:

mark me brainlist

Answer:

Step-by-step explanation:

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

Step-by-step explanation:

you can divide 11/30 and get 0.37

0.37%/ 100*11 =

Multiply:

0.37*11 =

add the 100 to the product you multiplied and divide them together:

4.07/100=

your quotient:

0.0407

round by 2 decimals:

0.04

your final answer is :

0.04

Answer:

they exceeded their goal by 668 cans.

Step-by-step explanation:

multiplying 524 by 7 you get 3668, then subtracting 3,000 from that you get 668.

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

Flour required for each signature cake = [tex]1.5[/tex] cups

Flour required for c signature cakes = [tex]1.5c[/tex] cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

[tex]F=30-1.5c[/tex]

At [tex]c=0[/tex], we get

[tex]F=30-1.5(0)[/tex]

[tex]F=30[/tex]

At [tex]F=0[/tex], we get

[tex]0=30-1.5c[/tex]

[tex]1.5c=30[/tex]

[tex]c=\dfrac{30}{1.5}[/tex]

[tex]c=20[/tex]

Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.

Answer:

x = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = [tex]\frac{3}{20}[/tex]

x + 3/2 + x - 1 = 4/5

Collect the same terms

x + x + 3/2 - 1 = 4/5

2x + 3/2 - 2/2 = 4/5

2x + (3 - 2)/2 = 4/5

2x + 1/2 = 4/5

2x + 0.5 = 0.8

Subtract both sides 0.5

2x + 0.5 - 0.5 = 0.8 - 0.5

2x + 0 = 0.3

2x = 3/10

Divide both sides by 2

2x ÷ 2 = ( 3/10 ) ÷ 2

x = 3/10 × 1/2

x = 3/20

_________________________________

3/20 + 3/2 + ( 3/20 - 1 ) = 4/5

3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5

(3 + 30)/20 + (3 - 20)/20 = 4/5

33/20 - 17/20 = 4/5

(33 - 17)/20 = 4/5

16/20 = 4/5

4 × 4 / 4 × 5 = 4/5

4/5 = 4/5

Thus we found the correct value of x .

And we're done...

Answer: [tex]y=\sqrt{x+12}[/tex]

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

[tex]y=\sqrt{x+12}[/tex]

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

let x for apple And y for banana So, x+y=12---Equation 1

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

5x+70=80 ⇔ x=2(there are 2 apples in basket)

Answer:

9= 512m/1000m

SIMPLIFY IT

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

{-2*-1^-2/-2-1*-1-3}3

= -9

Answered by GAUTHMATH

Answer:

tan(9pi/12) = 0.041146549

Step-by-step explanation:

Answer:

[tex] a_n = 2n^2 + n + 1 [/tex]

Step-by-step explanation:

4, 11, 22, 37, 56

11 - 4 = 7

22 - 11 = 11

37 - 22 = 15

56 - 37 = 19

After the first difference, 11 - 4 = 7, each difference is 4 more than the previous difference.

Difference of differences:

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

Since we need the difference of differences to find a constant, this must be a second degree function.

[tex] a_1 = 4 = 2^2 + 1(0)[/tex]

[tex] a_2 = 11 = 3^2 + 2 = 3^2 + 2(1) [/tex]

[tex] a_3 = 22 = 4^2 + 6 = 4^2 + 3(2) [/tex]

[tex] a_4 = 37 = 5^2 + 12 = 5^2 + 4(3) [/tex]

[tex]a_5 = 56 = 6^2 + 20 = 6^2 + 5(4)[/tex]

[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]

[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]

[tex] a_n = n^2 + 2n + 1 + n^2 - n [/tex]

[tex] a_n = 2n^2 + n + 1 [/tex]

Answer:

12x36

Step-by-step explanation:

Answer:

36*12 = 432

Step-by-step explanation:

Answer:

[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

Answer:

[tex]2c+2b+17[/tex]

Step-by-step explanation:

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

Given:

[tex]2c-3b+6+7b-2b+11[/tex]

---------->>>>

Collect like terms.

[tex]2c+(-3b+7b-2b)+(6+11)[/tex]

---------->>>>

Simplify

[tex]2c+2b+17[/tex]

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

Hope this is helpful.

Answer:

2c-2b+17 if using algebra

Step-by-step explanation:

firstly group like terms 2c+(-3b)+7b-2b+6+11

2c-2b+17

Hello,

The rational roots may be all divisors of 100

+1,-1,+2,-2,+4,-4,+5,-5,+10,-10,+20,-20,+25,-25,+50,-50,+100,-100

f(x)=x^4-29x^2+100

f(5)=5^4-29*5^2+100=0 : 5 is a root

f(-5)=(-5)^4-29*(-5)²+100=0 : -5 is a root

f(2)=2^4-29*2²+100=0 : 2 is a root

f(-2)=(-2^)^4-26*(-2)²+100= 0 : -2 is the last root.

solution :-

here,

We know that interior opposite angles are equal.

So,

110° = 50° + x (being interior opposite angles)

110° - 50° = x

60° = x

the value of x =60°

hope it is helpful to you ☺️

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Given:

The exponential function is:

[tex]R(x)=(5.3)^x[/tex]

To find:

The domain of the given exponential function.

Solution:

We know that the general form of an exponential function is:

[tex]f(x)=ab^x[/tex]

Where, a is the initial value and b is growth/decay factor.

This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.

We have,

[tex]R(x)=(5.3)^x[/tex]

Here, a is 1 and b is 5.3. This function is defined for all real values of x

Therefore, the domain of these type of functions is the set of all real number or it can be written as [tex](-\infty,\infty)[/tex].

Answer:

Yeah, so that is right, just put it into a formula.

[tex]9.07*10x^{-2}[/tex]

Answer:

Step-by-step explanation:

1) nth therm = dn + (a - d)

-10n + (11+10)

-10n + 21

t11 = -110 + 21 = -89

2) nth therm = 3n + (-66 - 3)

3n - 69

t16 = 48 - 69 = -21

Answer:

600g of Flour

Step-by-step explanation:

According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.

Answer:

600 g of flour.

Step-by-step explanation:

If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.

If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.

Therefore, she will need 600 g of flour.