Gerald deposits $50 every week into a savings account. At week 16, the account balance is $1650. Write an equation that models the balance, y, and the number of weeks, x.

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

Answer:

x = 2,-8

Step-by-step explanation:

Answer:

m∠2 = 47°

Step-by-step explanation:

m∠1 + m∠2 = 90°

3x + 13 + 5x - 3 = 90

8x + 10 = 90 ⇒ x = 10

m∠2 = 47°

Answer:

13 students

Step-by-step explanation:

4 plus 9 = 13

Answer:

ist it 13 students (・o・)

Answer:

35.60

Step-by-step explanation:

Multiply the original price $89 times the mark down percentage 60%

You get 53.40, then subtract it from 89.

Answer:

She paid $35.60 for the jacket.

Step-by-step explanation:

Answer:  -5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Step-by-step explanation:

An equation with zeros at these numbers could be put in form x = number.

So, (x-3) could be set to 0 to get x=3.

So, you can look at these "answers" they give you and work backward to get:

(x-3)(x+2/5)(x-3i)

Multiply first two together.

x^2+2/5x-3x-6/5

simplify

x^2 - 2 3/5x -6/5

Change first term to have same denominator by multiplying by "1" in the form of -5/-5

-5x^2/-5 - 13/5x -6/5

Divide all terms by 1/5 (which is the same as multiplying each term by 5)

(-5x^2 -13x -6)

Now multiply by (x-3i)

-5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

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The number of books for $ 15 coupon is 12 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

From the bookstore :

Number of books for $ 5 coupon = 4 books

So ,

Number of books for $ 15 coupon = Number of books for $ 5 coupon x 3

Number of books for $ 15 coupon = 4 x 3 books

Number of books for $ 15 coupon = 12 books

Therefore , the number of books is 12

Hence , the number of books for $ 15 coupon is 12 books

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Problem 4

Note the markings at the top indicate that angle y represents half the angle BAC. In other words, we need 2 copies of angle y to make up angle BAC.

So we know that angle BAC = 2y

Due to the fact that triangle ABC is isosceles, we know that base angles B and C are congruent to 47.

Focusing on triangle ABC we have

So,

A+B+C = 180 .... for any triangle, the angles always add to 180

2y+47+47 = 180

2y+94 = 180

2y = 180-94

2y = 86

y = 86/2

y = 43

Turn your attention to triangle ABD.

Here we have

We'll use the same idea as above, that all angles add to 180, to get...

A+B+D = 180

y+47+x = 180

43+47+x = 180

x+90 = 180

x = 180-90

x = 90

===================================================

Problem 5

Let x be the angle formed by the diagonal sides and the horizontal ground. This is considered the base angle because this triangle is isosceles.

We have two base angles x and the third angle up top is 34

x+x+34 = 180

2x+34 = 180

2x = 180-34

2x = 146

x = 146/2

x = 73

Answer:

109°

Step-by-step explanation:

there are two ways to slove this kind of questions.

simply,x = 64 + 45

or x = 180-(180 - 64- 45)

Answer: 33.33%

Step-by-step explanation:

Number of White sneakers = 8

Number of Black sneakers = 10

Number of Blue sneakers = 10

The percentage of Oscar's sneakers that are black will be:

= Number of black sneakers / Total sneakers × 100

= 10/30 × 100

= 33.33%

Answer:

Step-by-step explanation:

Step one:

given data

For Ennis

distance covered= 3 miles

time taken = 20 minutes

Hence Ennis speed is

velocity= distance/time

velocity= 3/20

velocity=0.15miles per minutes

Therefore in 1 hour that is 60 minutes the distance she will cover is

distance= velocity * time

Distance= 0.15*60

Distance= 9 miles

Step two:

For Cindy

distance covered= 6 miles

time taken = 30 minutes

Hence Cindy speed is

velocity= distance/time

velocity= 6/30

velocity=0.2miles per minutes

Therefore in 1 hour that is 60 minutes the distance she will cover is

distance= velocity * time

Distance= 0.2*60

Distance= 12 miles

Answer:273.8455

Step-by-step explanation:

i do what i can

Answer:

6x+12

Step-by-step explanation:

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1

Answer:

A

Step-by-step explanation:

I think that's da answer I hope it help ya

Answer:

i beleive its n-6

Step-by-step explanation:

Answer:

4 <= pen weight <= 10

Step-by-step explanation:

<= , less than or equal to

Answer:

[tex]ST = 10[/tex]

Step-by-step explanation:

Given

[tex]RT =4x[/tex]

[tex]ST = 5x - 10[/tex]

[tex]RS = 6[/tex]

Required

Determine ST

Since S is on RT, we have that:

[tex]RT = RS + ST[/tex]

[tex]4x = 5x - 10 + 6[/tex]

[tex]4x = 5x - 4[/tex]

[tex]4x - 5x= - 4[/tex]

[tex]-x= - 4[/tex]

[tex]x= 4[/tex]

Substitute 4 for x in [tex]ST = 5x - 10[/tex]

[tex]ST = 5 * 4 - 10[/tex]

[tex]ST = 20 - 10[/tex]

[tex]ST = 10[/tex]

Answer: It Equals 8

Step-by-step explanation:

Point S is on line segment \overline{RT}

RT

. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.

ST

.

\text{Label known information:}

Label known information:

R

S

T

2x + 7

5x – 7

RT = 4x + 9

RS+ST=

RT

Segment addition postulate

\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=

2x+7+5x−7=

\,\,\color{darkred}{4x+9}

4x+9

Substitute expressions

7x=

7x=

\,\,4x+9

4x+9

Combine like terms

-4x\phantom{=}

−4x=

\,\,-4x

−4x

3x=

3x=

\,\,9

9

\frac{3x}{3}=

3

3x

​

=

\,\,\frac{9}{3}

3

9

​

Divide by 33

x=

x=

\,\,\color{darkgreen}{3}

3

\text{Plug in value of }x\text{ to find }ST\text{:}

Plug in value of x to find ST:

ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8

ST=5x−7=5(3)−7=8

\text{You can plug }x\text{ into each expression:}

You can plug x into each expression:

Optional to check work

R

S

T

2(3) + 7

5(3) – 7

RT = 4(3) + 9

\text{Simplify:}

Simplify:

R

S

T

13

8

RT = 21

\text{Final Answer:}

Final Answer:

ST=\color{green}{\mathbf{8}}

ST=8

Answer:

5 hours

Step-by-step explanation:

The problem is giving you the equation

y =  0.4x; where y is the # of buckets filled and x is the hours.

If they you 2 filled buckets, then how many hours?  

You need to solve for x

y = 0.4x; to get the x by itself, divide by 0.4

x = [tex]\frac{y}{0.4}[/tex] ; now substitute y with 2 ( for 2 filled buckets)

x = [tex]\frac{2}{0.4}[/tex] = 5; which means it took 5 hours to fill up 2 buckets.

Answer:

pre image point A (8,0)

Step-by-step explanation:

I guess thats the answer

A = (x, y)

After a translation right 2 units and down 1 unit is the point B (10, -1)

A = (x + 2, y - 1)

B = (10, -1)

A = B

x + 2, y - 1 = 10, -1

x, y = 10 - 2, -1 + 1

x, y = 8, 0

(x, y) = (8, 0)

The coordinates of pre-image point A is (8, 0)

Answer:

30002.5

Step-by-step explanation:

Answer:

C = 8

Step-by-step explanation:

2/7 = c/28

Multiply to get c by itself

2/7 x 28 = c

Solve

2/7 x 28 = 8

C = 8

The value of c is 8 in the proportion 2/7=c/28.

Two or more expressions with an Equal sign is called as Equation.

The given proportion is  2/7=c/28

Two divided by seven equal to c divided by twenty eight.

We have to find the value of c.

We find the value of c by applying cross multiplication

28×2=7c

56=7c

Divide both sides by 7

56/7=c

Divide numerator and denominator by 7

We get c=8

Hence, the value of c is 8 in the proportion 2/7=c/28.

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Answer:

Step-by-step explanation:

3.5×4.9

=35/10×49/10

=1715/100

Or 17.15 answer

Answer:

Step-by-step explanation:

3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15

Answer:

84º

Step-by-step explanation:

If a line intersects parrelal lines, the angle in the same place will need to pe tha same.

Answer:

? = 84°

Step-by-step explanation:

For the lines to be parallel.

Then 84 and ? are corresponding angles and congruent, thus

? = 84°

Answer:

sorry i looked and i tried, but i dont know the answer.

Step-by-step explanation:

Answer:

3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846

Step-by-step explanation:

Answer:

Your answer would be (7, -9)

Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb

Step-by-step explanation: