Anne is currently h years old. bill is currently 2h years old and Charles is currently eight years old. find an expression for each person’s age after h years. then find an expression for the sum of their ages after h years.

Answer:

x = 20°

Step-by-step explanation:

See the attached diagram.

Given that B and C are the two centers of two equal circles.

Now, ∠ ECD = 80° also given.

Now, Δ BCE is an isosceles triangle as BC = CE = Radius of the circle.

So, ∠ EBC = ∠ CEB.

Now, ∠ ECD = ∠ EBC + ∠ CEB = 80°

⇒ 2 ∠ EBC = 80°

⇒ ∠ EBC = 40°

Again, the triangle Δ ABF is an isosceles triangle as AB = BF = Radius

So, ∠ BAF = ∠ BFA = x°

Now, ∠ EBC = ∠ BAF + ∠ BFA = 40°

⇒ x° + x° = 40°

⇒ 2x = 40

⇒ x = 20° (Answer)

Answer:

The arrangement of the given equation in the slope - intercept form are

1. [tex]y = 1x +82[/tex]  

Step-by-step explanation:

Given:

Let  A ≡ ( x1 , y1 )   ≡ (-12 , 70)

       B ≡ ( x2 , y2 ) ≡ (-4 , 78)

Slope - intercept form :

[tex]y=mx+c[/tex]

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 )  and ( x2 , y2)  we can remove slope by  

Slope,

[tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

∴ [tex]m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1[/tex]

Now equation of a line  for a point ( x1 , y1 )  and having slope m is given as,

[tex](y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82[/tex]

Which is in the required form

y = 1x + 82

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.

x-5=-13

move -5 to the other side

sign changes from -5 to+5

x-5+5=-13+5

x=-13+5

answer:

x=-8

The equation written by Elliot, which was not included in the question, is:

[tex]0.10(7-x)+0.5(x)+0.25(0.5x)=5.90[/tex]

The statements from which you have to identify the errors are:

a) He should have written the expression for the number of dimes as x – 7.

b) He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.

c) He should have written the coin value for the nickel as 0.05.

d) He should have translated the scenario as the value of all dimes = value of all nickels and value of all quarters = value of all nickels.

e) He should have written the expression for the number of nickels as 2x.

Answer:

There two errors:

Explanation:

I will start by writing the correct expression following the statements step-by-step:

1) He has half as many quarters as nickels

2) He has 7 fewer dimes than nickels.

3) Mulitiply each number of coins by its value in dollars:

4) Add he values of all the coins:

5) Equal to the total value of $ 5.90:

6) Compare with the equation written by Elliot:

7) Conclusion:

There are two errors:

Answer:

for the people on edgen the answer is the first and the third options

Step-by-step explanation:

uhhh

Answer:

Step-by-step explanation:

y=mx+b is the formula for slope y-intercept form.

Answer:

[tex]\large\boxed{x>2\to x\in(2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]2x+3-x>5\qquad\text{subtract 3 from both sides}\\\\2x-x>5-3\\\\x>2[/tex]

Answer:

Charlie used 4 20-cent stamps and 8 32-cent stamps.

Step-by-step explanation:

Let the number of 20 cents stamps be [tex]x[/tex]. Then, as per question, Chalie used twice as many 32-сent stamps as 20 cent stamps.

Therefore, number of 32-cent stamps is [tex]2x[/tex].

Now, total cost of the stamps is $ 3.36 = 336 cents

Cost of 1 20-cent stamp is 20 cents. So, cost of [tex]x[/tex] 20-cent stamps is [tex]20x[/tex]. Similarly, cost of [tex]2x[/tex] 32-cent stamps is [tex]32(2x)=64x[/tex]

Total cost = [tex]20x+64x=84x[/tex]

As per question,

[tex]84x=336\\x=\frac{336}{84}=4[/tex]

Number of 20-cent stamps = [tex]x = 4[/tex]

Number of 32-cent stamps = [tex]2x=2\times 4=8[/tex]

So, Charlie used 4 20-cent stamps and 8 32-cent stamps.

Answer:

No. of 32 cent stamps = 8

and that of 20 cent stamps = 4

Explanation:

Let no. of 32 cent stamps used be x and the number of 20 cent stamps used be y.

We are given that total postage on a package put by Charlie by using only 32 and 20 cent stamps is equal to $3.36.

So, since 100 cents make one dollar, $3.36 = 336 cents.

So,

32x + 20y = 336

Also we are given that Charlie used twice as many 32 cent stamps as 20 cent stamps which can be written as,

x = 2y

Substituting this equation in previous equation we get

32 [tex]\times[/tex]2y + 20y = 336

=> 64y + 20y = 336

=> 84y = 336

=>y = 4

Putting the value of y in x = 2y we get x = 2*4 = 8

So, no. of 32 cent stamps = 8 and that of 20 cent stamps = 4

Answer:

If there are parentheses, then you solve what's in those first.

Step-by-step explanation:

Use PEMDAS to help you remember.

P- Parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

Answer:

The answer is 11

Step-by-step explanation:

Final answer:

The distance between the top of the escalator and the ground floor is approximately 12 feet.

Explanation:

To find the distance between the top of the escalator and the ground floor, we can use trigonometry. We have the length of the escalator (16 feet) and the angle of depression (42.51 degrees). The distance we need to find is the opposite side of the right triangle formed by the top of the escalator, the floor, and the length of the escalator. We can use the sine function to find this distance.

The formula is sin(angle) = opposite/hypotenuse. Plugging in the values, we get sin(42.51) = opposite/16. Solving for opposite, we have opposite = sin(42.51) * 16.

Using a calculator, we find that opposite ≈ 12.014 feet. Rounding to the nearest foot, the distance between the top of the escalator and the ground floor is approximately 12 feet.

Answer:

[tex]f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]

The exponential function is increasing and is concave down

Step-by-step explanation:

Let the equation of exponential function be

[tex]f(x)=a\cdot b^x+c,\ ,\ b>0[/tex]

1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,

[tex]3=a\cdot b^0+c\\ \\3=a+c[/tex]

2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,

[tex]0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c[/tex]

3. Function is always increasing as the value of x increases, but the function never reaches y=4, so

[tex]c=4[/tex]

Hence,

[tex]\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.[/tex]

So,

[tex]a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]

Answer:

$1 for every 3 candy canes

The drawing will help

Step-by-step explanation:

44-18=26

if 300=100 percent

? =26 percent

26×300=7800

7800÷100=78

the answer is 78 students

Answer: With any number if the 0 is at the Numerator it will always be 0

Step-by-step explanation:

If a 0 is at the Denominator it will be Undifined

Answer:

80 milligrams

Step-by-step explanation:

Write a proportion and solve.

200mg / 250% = x / 100%

x = 80mg

Answer:

75

Step-by-step explanation:

Since x+3 is the factor of the function f(x) .

So, -3 should satisfy f(x),

Thus putting -3 in f(x) we get

                       3×[tex](-3)^{3}[/tex]-2×(-3)+k = 0

                       -81+6+k = 0

                         k = 75.

So , k should be equal to 75.

Answer:

2*5*7

Step-by-step explanation:

2*5=10

10*7=70

Answer:

Here is the complete question.(attachment)

The correct choice is [tex]a^2+15^2=17^2[/tex]

Step-by-step explanation:

We will apply the Pythagoras formula to calculate the perpendicular length (a).

Pythagoras formula [tex]=(base)^2+(perpendicular)^2=(Hypotenuse)^2[/tex]

The right angle is formed between [tex]a[/tex] and [tex]15\ m[/tex] length.

So [tex]17\ m[/tex] is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.

So

[tex](a)^2+(15)^2=17^2[/tex]

[tex]a=\sqrt{17^2-15^2}= 8\ m[/tex]

So the measure of side length [tex]a[/tex] is [tex]8\ m[/tex].

That can be calculated from the option A that is [tex](a)^2+(15)^2=17^2[/tex].

Note:Please don't look to the marked answers that was wrong in the attachment.

Answer:

Yes it is A

Step-by-step explanation:

Answer:

8 9/10 is the largest number

Answer:

8 9/10

Step-by-step explanation:

8 is first off larger than 7 so that rules out all the 7 numbers

And 9/10 is .9 so that would make it 8.9 which is greater than 8.2

Answer:

Step-by-step explanation:

If given figures are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex]           cross multiply

[tex](14)(x)=(3)(56)[/tex]

[tex]14x=168[/tex]            divide both sides by 14

[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,

(10/40) = (14/56) = (14/56) = (3/x)

1/4=3/x

x = 12

Hence, the length of the missing side is 12 units.

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Answer:

The number of number of bags of snacks = m  = 176

The number of beverages supplied = m + 19  = 176 +9 = 185

Step-by-step explanation:

Let us assume the number of bags of snacks = m

So, the number of beverages supplied = m + 19

Total number of items supplied  =  371

⇒ Number of (snacks + beverages) supplied=  371

⇒   m + (m +19)  = 371

or, 2 m = 371 - 19 =  352

or, m =  352 / 2 = 176  

⇒  m  = 176

Hence the number of number of bags of snacks = m  = 176

So, the number of beverages supplied = m + 19  = 176 +9 = 185

Answer:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

Step-by-step explanation:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

Answer:

C 28ft on edg 2021

Answer:

denominator of 1

Step-by-step explanation:

An expression can be written in rational number by writing 1 in the denominator then it will become a fraction and  a rational number

Answer:

A rational numbers can be defined as numbers that can be expressed as the quotient between two integers.

This means that a whole number can be expressed as a rational number by just adding 1 into its denominator

[tex]2 \implies \frac{2}{1}[/tex]

That way the whole number would be a rational number, becase 2 and 1 are integers.

Therefore, an expression can be written in rational form by  writing it as a fraction with a denominator of 1.

Answer: Janessa has 10 Amari has 34

The number of blue berries with Janessa and Amari are 10 and 34 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Robert who has 20 blueberries such that he has 10 more blueberries than Janessa and 14 fewer blueberries than Amari.

Assume that the number of blue berries with Janessa and Amari are x and y respectively. We can write the following modelled equations as -

20 = x + 10

20 = y - 14

Solving, we get -

x = 10

y = 34

Therefore, the number of blue berries with Janessa and Amari are 10 and 34 respectively.

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Answer:

x = -7

Step-by-step explanation:

(x-1)/4-(x+2)/5=-1

[5(x-1) - 4(x+2)]/20 = -1

5x-5-4x-8 = -20

x-13= -20

x= -20 +13

x= -7

Answer:

its D my  man go the answer sheet

Step-by-step explanation:

Answer:

d.

Investment B is an ordinary annuity with $3,906.64 in the account after 1 year

Step-by-step explanation:

Monica makes $550 and Phil makes $275 per week

Step-by-step explanation:

Monica and Phil each have part-time jobs

We need to find how much each person make​s

Assume that Phil makes $x in a week

∵ Phil makes $x per week

∵ Monica makes twice as much money in a week as Phil

∴ Monica makes = $2x per week

∵ The total of their weekly earnings is 825

- Add their weekly earnings

∴ x + 2x = 825

- Add the like terms

∴ 3x = 825

- Divide both sides by 3

∴ x = 275

- Find 2x

∴ 2x = 2(275) = 550

Monica makes $550 and Phil makes $275 per week

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Answer:

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line

Answer:The equation of the line is;

Step-by-step explanation:

Polynomials are in standard form when their terms are written in descending order of exponents. Choice B [tex](x^4 - 8x^2 - 16)[/tex] is in standard form. The correct answer is Choice B.

A polynomial is in standard form when its terms are written in descending order of their exponents. Let's evaluate each of the choices:

Therefore, the correct answer is Choice B.

Answer:

1. B

2. A

Step-by-step explanation:

1. The terms seem to be increasing by a constant of 7.

11+7=18

18+7=25

25+7=32

Therefore, the next two terms should be 32+7 and 32+7+7. This equals 39 and 46.

2. The terms in this pattern are being divided by 6

180/6=30

30/6=5

In order to find the missing number before 180, we need to multiply 180 by 6. 180 times 6 is equal to 1080.

hi ur answer would be 39,46

Step-by-step explanation: here's my explanation as u can see it 11 into 18 is adding 7 and for all of them the pattern is plus 7 so u do 32+7=39 and then u do 39+7=46 and thats how u get B.39,46