joey and chloe and their daughter zoe all have the same birthday. joey is 11 year older than chloe, and zoe is exactly 11 year old today. today is the first of the 99 birthdays on which chloe's age will be an integral multiple of zoe's age. what will be the sum of the two digits of joey's age the next time his age is a multiple of zoe's age?

The answer is given above

Answer:

1/9

Step-by-step explanation:

-1/9  + 2/9

Since the denominator is the same, we can add the numerators

(-1+2)/9 = 1/9

Step-by-step explanation:

+6,+10,+14,+18

+4+4+4

therefore quadratic 4/period function=2

[tex]y = 2{x}^{2} + bx + c[/tex]

y=2 x=1

[tex] 0 = b + c[/tex]

y=8 x=2

8=8+2b+c

0=2b+c

y=18 x=3

0=3b+c

therefore

the equation is 2x^2=y

For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

As given,

Graph of parabola shows it open down parabola.

Vertex is the highest point on the graph of parabola.

it is known as the maximum value.

Let (h, k) be the vertex of the given parabola.

From the graph value of the vertex is equal to :

(h ,k)=(1, -4)

h represents the x-coordinate.

k represents the y-coordinate.

y-coordinate represents the maximum value of the parabola.

y =-4 is the maximum value.

Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

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If we solve for the value of x we find that x is any value which is greater than -36/11.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given in question that a required number divided by 3 decreased by 7 is less than 4 times the number increased by 5.

Let's assume the number be x.

So , x divided by 3 is x / 3 and if we subtract it by 7 , we get :

x/ 3 - 7  

Also , this value is less than 4 times the number added with 5.

i.e.,

4x + 5

So , the inequality can be written as :

[tex]\frac{x}{3}[/tex] - 7 < 4x + 5

or

x - 21  <  12x + 15

-36 < 11x

or

-36 /11 < x

or

x > -36/11

or

x is greater than -36/11.

Therefore , if we solve for the value of x we find that x is any value which is greater than -36/11.

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Answer:

KML and LMK

Step-by-step explanation:

Answer:

I need more information to solve this.

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

the value of -10 is 10 and the value of 19 is 19 s0 19 - 10

The equivalent ratio of longboard  3 : 10

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

Given:

Long-boards        A           30

Skateboards        50        100

Find:

An equivalent ratio where the number of skateboards is 50.

Now,

⇒ Equivalent ratio = Long-boards / Skateboards

⇒ Equivalent ratio = 30 / 100

⇒ Equivalent ratio = 3 / 10

Now,  Equivalent value of Long-boards = Equivalent ratio × Number of skateboards

Equivalent value of Long-boards = [3 / 10] × 50

Equivalent value of Long-boards = 15

Then the ratio will be :

15 / 50 = 3 / 10

or, 3:10

Hence, equivalent ratio where the number of skateboards is 50. will be 3:10

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Answer:

blank = - 3

Step-by-step explanation:

let x represent the blanks , then

[tex]\frac{2}{3}[/tex] ([tex]\frac{9}{5}[/tex] + x) = [tex]\frac{2}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

10([tex]\frac{9}{5}[/tex] + x) = 6x + 6 ← distribute parenthesis on left side

[tex]\frac{90}{5}[/tex] + 10x = 6x + 6

18 + 10x = 6x + 6 ( subtract 6x from both sides )

18 + 4x = 6 ( subtract 18 from both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

Answer:  ad bc is the answer

Step-by-step explanation:

The jumbo cans of frosting would she need to frost 280 cupcakes is 8 cans.

Addition simply means the sum of the numbers that are given.

In this case, Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes. This implies that the total cupcakes will be:

= 105 + 175 = 280

In this case, the cans used will be the addition of the cans above. This will be:

= 3 + 5

= 8 cans

This shows the concept of addition.

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Answer:

To convert the degrees to radians

we know that,

Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.

we get that,

That is,

we get that,

Answer is: 0.8

The width of the living room on the new blueprint is 15 feet.

Based on the information, the scale of the original blueprint will be:

= 2 in / 5 ft

The width of the original blueprint is 6 inches, the actual width of the living room will be:

2/5 = 6/x

where x = width of living room

Cross multiply

x = 5 × 6 / 2

x = 15 feet.

The width is 15 feet.

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Answers ↓

angle 1 → 90°

angle 2→ 44°

angle 3 → 90°

angle 4 → 46°

I hope this helps u

Answer:

The average speed of the puck is 110 ft per second.

Step-by-step explanation:

Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.

When you substitute the values in, you get s = 66/0.6, which is 110.

Hope this helps.

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The customer can select the meal in 2016 ways.

There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.

x = 4 * 8 * 7 * 9 =  2016 ways.

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Answer:

63

Step-by-step explanation:

12:36

36/12=3

21(3)=63

The next step after drawing an arc with the compass from the first point of the construction will be, to pick a point on the arc that will be the second endpoint of the new segment. (a)

To copy a line we have to follow a few steps of the procedure.

The steps are;

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The ladder will not reach a window that is 21.5 feet above the ground if the length of the ladder is 25 feet.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the data:

The right angle triangle can be drawn:

From the diagram:

Applying Pythagoras' theorem:

BC² = AB² +  AC²

25² = 15² +  AC²

After solving

AC = 20 feet

AC < 21.5 feet

Thus, the ladder will not reach a window that is 21.5 feet above the ground if the length of the ladder is 25 feet.

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Answer:

No, because the ladder will only reach 20 feet high

Step-by-step explanation:

I go it right on my quiz :]

Answer:

- 164/4+50y/3+ify=0

Step-by-step explanation:

hope it helps

The number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least amount of calories is

The least number of calorie is 250 calories

given data

1. each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, 2 units of fat and will contain 20 calories

2. each ounce of nuts will supply 3 units of protein, 2 units of carbohydrates and 4 units of fat, and will contain 50 calories

3. Every package must provide at least 9 units of protein, at least 18 carbohydrates, and no more than 22 units of fat

To get at least 9 units of protein, we take at least 3 ounces of nut

3 ounces of nut will give 3 times each unit, and they are as follows

Another restriction is no more than 22 units of fat and we have 12 already remaining 10 units of fat

fruits has lesser calories hence we use it to get the required fats

10 units of fat ÷  2 units of fat in fruit = 5

5 ounces of fruit will give 5 times each unit, and they are as follows

Combining 3 ounces of nut and 5 ounces of fruit will give

Above maintains the requirements stated in the question with the minimal calorie

the required calorie  is 250

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Answer:

185 dimes and 73 quarters

Step-by-step explanation:

q + d = 258

25(q) + 10(d) = 3675

Answer:

  10.97 seconds

Step-by-step explanation:

You want to know when a rocket will hit the ground if its height is given by y = -16x² +170x +61, where x is seconds after launch.

The formula for the solutions of a quadratic equation is ...

  [tex]\text{for }ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

When we apply this to the equation y=0, we have ...

  [tex]x=\dfrac{-170\pm\sqrt{170^2-4(-16)(61)}}{2(-16)}=\dfrac{170\pm\sqrt{32804}}{32}\\\\x\approx 10.97\quad\text{seconds}[/tex]

The rocket will hit the ground after about 10.97 seconds.

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If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.

An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.

Mathematically, an inverse variation can be modeled or represented by this expression:

p ∝ 1/q

p = k/q

Where:

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pq

k = 5(4)

k = 20

Now, we can determine the value of q:

q = k/p

q = 20/10

q = 2.

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