The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answer:

43 1/2

Step-by-step explanation:

answer will be:

original height plus 3 times 8 7/12 inches

3 times 8 7/12 can be done by converting the mixed number to an improper fraction:

[tex]\frac{3}{1}[/tex] · [tex]\frac{103}{12}[/tex] = [tex]\frac{103}{4}[/tex] = 25 3/4

25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2

Answer:

E is (5, 1)

Step-by-step explanation:

Let E be the point (x, y).

(-3 - x)^2 + ( 7 - y)^2 = 10^2   ( Pythagoras theorem)

Now 64^2 + 36^2 = 10^2 so we try:

(-3 - 5)^2 + ( 7- 1)^2 = 100

Giving x = 5 and y = 1 which looks right from the diagram.

Step-by-step explanation:Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Step-by-step explanation:

tae tae tae tae tae tae tae tae

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

More can be learned about proportional relationships at brainly.com/question/10424180

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Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Learn more about exponential growth and decay here:

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Answer:

w= 0

Step-by-step explanation:

a. 0/11+ 10= 10

0/11= 0

0+ 10= 10

b. 0/11= 0

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]

Answer:

x=5-y

Step-by-step explanation:

yes that is a function

If it has any repeating x values it isn’t one

Answer:

3,-3

Step-by-step explanation:

The coordinates are 3 and -3. x is 3 and y is -3.

Answer:

(3,-3)

Step-by-step explanation:

as the answer is at down of x axis

Answer: 36

Step-by-step explanation:

K(x) = 2x^2 - 5x + 3

K(-3) = 2(-3)^2 - 5(-3) + 3

K(-3) = 2*9 + 15 + 3

K(-3) = 18+15+3

K(-3) = 36

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

tax because the tax shows you what you paid and ect

Answer:

y = 1/2.

Step-by-step explanation:

Note that 27 = 3^3 and 9 = 3^2:

27^y

= (3^3)^y

= 3^3y.

9/3^y

= 3^2/3^y

= 3^(2-y)

So 3^3y = 3^(2-y)

and therefore:

3y = 2 - y

4y = 2

y = 1/2.

Given that:

27^y = 9/3^y

⇛27^y × 3^y = 9

⇛(3^3)^y × 3^y = 9

⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]

⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]

⇛3^(4y) = 9

⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]

.°. 4y = 2

y = 2:4 = 1/2

Hence, the value of y is 1/2.

Answer:

Step-by-step explanation:

9/50 // 12 / 1     You have a 4 tier fraction here.  You must invert the denominator (12/1) and multiply

9/50 * 1/12          Cancel 3 in the 9 and 3 in the 12

3/50 * 1 / 4         Multiply the numerators together and the denominators together.

3 / 200  each bottle with have 3/200 L or 1.5 / 100 L syrup in it.

1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.      

Answer:

8x+16

7x-9

_____

15x+7

Step-by-step explanation:

Add or subtract like terms

Answer:

15x+7

No step I did it

Answer:

d

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4/2

or -2

yeah- ya. right?

Answer:

14x-21=14x +7

x cancels all out which leaves with just

28

Answer:

There is no x that satisfies the condition.

Step-by-step explanation:

7(2x - 3) = 14x + 7

14x - 21 = 14x + 7

-21 = 7

contradiction

The perimeter of a shape is the sum of its side lengths.

The perimeter of the shape is 24z - 18

Represent the length with l and the width with w.

The dimensions are given as:

[tex]l = 10z[/tex]

[tex]w = 2z - 9[/tex]

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The above equation becomes

[tex]P = 2 \times (10z + 2z - 9)[/tex]

Evaluate like terms

[tex]P = 2 \times (12z - 9)[/tex]

Open brackets

[tex]P = 24z - 18[/tex]

Hence, the perimeter of the shape is 24z - 18

Read more about perimeters at:

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Answer:

Yamete Kodasai

Step-by-step explanation:

Thankyou sa pnts

A number "n" is a minimum of 6 .

n is greater than (>) or equal to (=) 6 .

n can be 6 or more.

Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8

Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:

26 = 1.4r + 8

26 - 8 = 1.4r

18 = 1.4r

18 / 1.4 = r

12.85 = r

Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.

Quick math check:

1.4(12) + 8 = $24.8 which is less then $26.

I hope this helps! :)

To solve this problem, you must first know how much 1 egg costs, for this we have to divide:

[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)[/tex]

[tex]\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs[/tex]

Answer:

  AED 2 for 3 eggs

Step-by-step explanation:

Price (p) is proportional to the number of eggs:

  p/3 = 8/12

  p = 3(8/12) = 8(3/12) = 8/4 = 2

The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.

Answer:

[tex]x\approx 13.27 in[/tex]

Step-by-step explanation:

I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).

Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get

[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]

Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght

[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]

At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:

[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]

Answer: 2 = 3/4x -2 1/2

2 = 3/4•x -(2 + 1/2)

3x = 18

x = 6

Answer: Hope This Helps

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (10/3 ,0)

y-intercept(s): (0−5/2)