Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved $500?

The possible value of x from the inequality 3/5x > 6 is 10; Luke got it right

3/5x > 6

x > 6 ÷ 3/5

x > 6 × 5/3

x > 30/3

x > 10

Generally in mathematics, inequality in mathematics is a statement which shows or describes orders of relationship between two values with regards to greater than, less than or equals to.

Therefore, the student which has a correct response to Mrs. Mueller’s inequality is Luke

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Answer:

[tex](y+3)(y-5)[/tex]

Step-by-step explanation:

Given the following equation:

[tex]y^2-2y-15[/tex]

To factor any equation, we must first break the equation into different groups and then factor out common terms in till we reach our solution.

[tex]y^2-2y-15[/tex]
[tex](y^2+3y)+(-5y-15)[/tex]
[tex]y^2=yy=y(y+3)[/tex]
[tex]y(y+3)+(-5y-15)[/tex]
[tex](-5y-15)=-5(y-15)[/tex]
[tex]y(y+3)+-5(y-15)[/tex]
[tex]15\div5=3[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)=(y+3)(y-5)[/tex]
[tex]=(y+3)(y-5)[/tex]

Your answer is "(y + 3)(y - 5)."

Hope this helps.

Answer:

[tex](y-5)(y+3)[/tex]

Step-by-step explanation:

To factorize [tex]y^2-2y-15[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -15=-15[/tex]

[tex]b=-2[/tex]

Therefore, the 2 numbers that multiply together to give -15 and add together to give -2 are:  -5 and 3

[tex]\implies y^2-5y+3y-15[/tex]

[tex]\implies (y^2-5y)+(3y-15)[/tex]

Factor the parentheses:

[tex]\implies y(y-5)+3(y-5)[/tex]

Factor out the common term [tex](y-5)[/tex]:

[tex]\implies (y-5)(y+3)[/tex]

Answer:

4080.01

Step-by-step explanation:

V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042

Answer:

Step-by-step explanation:

Find the exact value using trigonometric identities.

Exact Form:

241

200

Decimal Form:

1.205

Mixed Number Form:

1

41

200

Yupppppppppppppppppppppppppppppp

Answer:

Lines segments:I         Slope:

AI                        I          Undefined

BJ                        I         Undefined

CK                       I          Undefined

DL                        I          Undefined

Step-by-step explanation: ye

Answer:

x=7

Step-by-step explanation:

x+14=3x

shift x to the other side

14=3x-x

14=2x

2x=14

x=14/2

x=7

Checking:

x+14=3x

7+14=3(7)

21=21

The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.

Given Information:

The sum of a number and fourteen is less than or equal to three times the number.

Let' consider the number is x, then w get this equation,

x + 14 = 3x

shift x to the other side

14 = 3x - x

14 = 2x

2x = 14

Divide 2 on both side,

x = 14/2

x = 7

For checking this value,

x + 14 = 3x

7 + 14 = 3(7)

21 = 21

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Answer:

[tex]\frac{12}{55}[/tex]

Step-by-step explanation:

To divide fractions, here are your steps:

1) Invert the fraction you are dividing by.

2) Multiply the numerators and denominators.

3) Simplify if necessary.

1)

[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]

2)

[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]

3)

Cannot be further simplified.

Answer:

12/55

Step-by-step explanation:

caculator

Answer:

8

Step-by-step explanation:

The length of the base of the triangle is, 8 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The area of the triangle is 28.8 square centimeters.

The height of the triangle = 7.2 cm

We know that;

⇒ Area of triangle = 1/2 ( Height × Base)

Substitute all the values, we get;

⇒ Area of triangle = 1/2 ( Height × Base)

⇒ 28.8 = 1/2 ( 7.2 × Base)

⇒ 28.8 × 2 = 7.2 × Base

⇒ 57.6 = 7.2 × Base

⇒ Base = 57.6 / 7.2

⇒ Base = 8 cm

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Answer:

the 13th term, if you plug in 13 for n and solve you would get 20 :)

Answer:

13th term

Step-by-step explanation:

7d+3/4(4)=6(4)

7d+3=24

7d=24-3

7d/7 =21/7

d=3

Responder:

$ 288750

Explicación paso a paso:

Dados los ingresos mensuales de los pesos chinos expresados ​​como;

I (x) = 20.000x - 50x² donde;

x es el número de relojes reparados.

Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;

Yo (15) = 20.000 (15) - 50 (15) ²

Yo (15) = 300 000-50 (225)

Yo (15) = 300.000-11250

I (15) = $ 288,750

Hey there!

Option answer: [tex]1 \frac{1}{2} \: \: cubic \: inches[/tex]

According to the title,

Volume = 12 × (1/2)[tex] {}^{3} [/tex]

=> 12 × 1/8

=> [tex] \frac{12}{8} [/tex]

=> [tex] \frac{3}{2} [/tex]

=> [tex]1 \frac{1}{2} [/tex]

Answer:

d

Step-by-step explanation:

first i do my formula which is length x width x height

the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12

so the answer is d

Answer:

[D] $63.55

Step-by-step explanation:

GIven;

To FInd:

What was her after-tax total?

Note:

After-tax total = Include tax

Solve;

$59.95 × 6%=3.597

Round ⇒ 3.60

$59.95 + 3.60 = 63.55

Hence, Joan after-tax total is [D} $63.55

~Learn with Lenvy~

Answer:

1. 480 inches^3

2. 6 inches tall, 8 inches wide, and 10 inches ong

Step-by-step explanation:

Answer:

320$

Step-by-step explanation:

Since it's 4%
4000 * 0.04 = 160

24 months = 2 years

annually = 1 year

160 * 2 = 320$

Hope this helps!

Answer:

4000*0.04 = 160

24/12=2

160*2 = 320 interste receveid after 24 mounths

4000+320=4320

Step-by-step explanation:

Answer:

Right angle is an angle of 90°

Obtuse angles is an angle greater than 90°

Answer:

A right angle is an angle of 90°

An Obtuse angles is an angle greater than 90°

Given:

The total cost of the order is

[tex]T=6b+2w[/tex]

where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.

Her budget is $85.

To find:

The constraints, so that she can order a maximum of washcloths or bath towels.

Solution:

We have,

[tex]T=6b+2w[/tex]

Her budget is $85. So, total cost is less than or equal to 85.

[tex]6b+2w\leq 85[/tex]       ...(i)

For maximum number of bath towels, the number of wash cloths is 0.

[tex]6b+2(0)\leq 85[/tex]

[tex]6b\leq 85[/tex]

Divide both sides by 6.

[tex]b\leq \dfrac{85}{6}[/tex]

[tex]b\leq 14.167[/tex]

For maximum number of wash cloths, the number of bath towels is 0.

[tex]6(0)+2w\leq 85[/tex]

[tex]2w\leq 85[/tex]

Divide both sides by 2.

[tex]w\leq \dfrac{85}{2}[/tex]

[tex]w\leq 42.5[/tex]

Therefore, the required constraints for maximum of washcloths or bath towels are [tex]w\leq 42.5[/tex] and [tex]b\leq 14.167[/tex] respectively.

Answer:

The height of the garden will be 3 ft.

Step-by-step explanation:

Given;

area of trapezoid, A = 1/2(B+b)h

Where;

A is the area

h is the height

B is the big base

b is the small base

If; A = 27 ft²

B = 10 ft

b = 8 ft

h = ?

[tex]A= \frac{1}{2} (B+b)h\\\\27= \frac{1}{2} (10+8)h\\\\27*2 = 18h\\\\54 = 18h\\\\h = \frac{54}{18}\\\\ h = 3 \ ft[/tex]

Therefore, the height of the garden will be 3 ft.

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

a undefined line is a straight line so the y value does not matter sence it goes through all the y values

Answer:

Step-by-step explanation:

Slope formula is

When Δx = 0 the denominator of the fraction is zero, hence it is undefined

So this is a vertical line

A vertical line passing through the point (9, -5) is x= 9

So the answer is x= 9

Answer:

the slope is 5

Step-by-step explanation:

Answer:

6x-15 3(x-5) 3/2(2x-10)

Step-by-step explanation:

simplify

-1/2(-12x+30)

6x-15

factor in different ways

3(x-5)

3/2(2x-10)

Answer:

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{4 - 1}{0 - 2} [/tex]

[tex] = \frac{3}{ - 2} [/tex]

[tex] = \bf{- \frac{3}{2} }[/tex]

Answer:

there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Step-by-step explanation:

To determine the greatest number of plates she can make using all the cheese and crackers, find the highest common factor of 24 and 40

24 = 2, 3, 4, 6, 8, 12, 24

40 = 2, 4, 5, 8, 10, 20, 40

Highest common factor of 24 and 40 is 8

24 cubes of cheese / 8 plates = 3 cubes of cheese per plate

40 crackers / 8 plates = 5 crackers per plate

So, there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Answer:

Yes! Our total savings on gas proportional to the number of beverages you purchase.

Step-by-step explanation:

Here, each liter of gas costs $3.

Every beverage you purchase you save $0.20.

So, if you purchase for $9, you will save 3*$0.20  = $0.60

So, this is proportional because when increase in purchase, there is proportional increase in savings.