Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.

Answer:4.76

Step-by-step explanation:

tan 0= opposite side/adjacent side

tan x = 1/12

x =tan-1 (1/12)

~~ 4.76 degrees

The angle of inclination x of this ramp is 4.76 degrees.

'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'

According to the given problem,

Perpendicular = 1 inch

Base = 12 inches

Angle of inclination = x

We know,

tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]

⇒ tan(x) = [tex]\frac{1}{12}[/tex]

⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]

⇒ x = 4.76 degrees.

Hence, we can conclude, the angle of inclination is 4.76 degrees.

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Answer:

y=30, x=10

Step-by-step explanation:

[tex]3y=90 (angle in a semi circle),\\y=\frac{90}{3} =30,\\50+4x=90 ,\\4x=90-50=40,\\x=\frac{40}{4} = 10 , }[/tex]

Answer:

27

Step-by-step explanation:

s = 5

t = - 1

s² - 2st

= 5² - 2 ( 1 ) ( - 1 )

= 25 - ( - 2 )

= 25 + 2

= 27

The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.

What does mean of two decimal points?

To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).

Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.

To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..

19.00 gram milk chocolate bar contains 11. 50 g of sugar.

Apply unitary method:

1 gram milk chocolate bar contains 11. 50/19 g of sugar.

100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.

                                                                = 60.526

The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.

60.526  ≈ 60.53

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

all interior angles add up to 180 and exterior add up to 360 so if u do 115+115=230, 360-230=130, 130÷2=65, 65 is the other interior angle then u add the two interior angles and subtract from 180

eat a peppermint it will stimulate your small brain

Answer:

[tex]1)2 ~real ~ solutions[/tex]

[tex]2) 0 ~ real ~solutions[/tex]

[tex]3) 1~real ~solutions[/tex]

Step-by-step explanation:.

[tex]1) x^2+y^2=17[/tex]

[tex]y=-1/2x[/tex]

[tex]x^2+1/4x^2=17[/tex]

[tex]4x^2+x^2=68[/tex]

[tex]5x^2=68[/tex]

[tex]x^2=68[/tex]

[tex]x=[/tex] ± [tex]\sqrt{68/5}[/tex]

----------------------

[tex]2) y=x^2-7x+10[/tex]

[tex]y=-6x+5[/tex]

[tex]-6x+5=x2-7x+10[/tex]

[tex]x^2-x+5=0[/tex]

[tex]a=1[/tex]

[tex]b=-1[/tex]

[tex]c=5[/tex]

[tex]D=b^2-4ac[/tex]

[tex]=1-20[/tex]

[tex]=-19[/tex]

[tex]\sqrt{0} =\sqrt{-19}[/tex]

---------------------

[tex]3) y=-2x^2+19[/tex]

[tex]8x-y=-17[/tex]

[tex]8x+2x^2-9=-17[/tex]

[tex]8x+2x^2+8=0[/tex]

[tex]4x+x^2+4=0[/tex]

[tex]x^2+4x+4=0[/tex]

[tex]x^2+2x+2x+4=0[/tex]

[tex]x(x+2)+2(x+2)=0[/tex]

[tex](x+2)(x+2)^2=0[/tex]

[tex](x+2)^2=0[/tex]

[tex]x=-2[/tex]

------------------------------

hope it helps...

have a great day!!!

Answer:

Answer c 1,800

Step-by-step explanation:

The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.

Given that

Principle amount (P) = $8000

Rate of interest (R) = 4.5%

Time period (T) = 5 years.

The interest in the T time period has been given by

Total interest = PRT/100

So,

Total interest  = 8000×4.5×5/100  = 1800

So total interest of the given amount will be $1800.

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Answer:

I got 126.12 in my notes

Step-by-step explanation:

Answer:

According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern

Hope this helps!

The range of possible perimeters of the square=10.583

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

A rectangle has a perimeter of 16 centimeters.

The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters.

let, x represents the length of a side of the rectangle,

then the rectangle's area is represented by x(8-x) square centimeters.

i.e. area of square = 8x-x^2

the side = √x(8-x)

perimeter= 4×√x(8-x)

Hence, the range of possible perimeters of the square=10.583

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Answer:

25 is your answer .

hope it is helpful to you

Answer:

25 is the correct answer

Hope it helps you have a good day ☺

Answer:

-3

Step-by-step explanation:

2 + 2 - 7

\      /

  4  -  7

   \     /

     -3

Answer:

-3

Step-by-step explanation:

Follow P.E.M.D.A.S from left to right.

1. A: 2+2=4

2. S: 4-7=-3

Answer:

Step-by-step explanation:

Rewrite this function as g(x) = 3(x + 1)(x - 2)

Set each factor equal to zero in turn, solving for x each time:

x + 1 => x = -1  (the lesser zero)

x - 2  =>  x = 2  (the greater zero)

Answer:

lesser x =-1

greater x =2

Step-by-step explanation:

khan verified

The volume of air present in the room is 27410.7075 lt .

The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.

The dimension of the room is 11*11*8 in feet.

so, 11 ft = 11 *2.54*12 = 335.28 cm

And, 8 ft = 8 *2.54*12 = 243.84 cm

Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]

In litre,

27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.

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Answer:

no

Step-by-step explanation:

It doen't pass the vertical line test

Give brainliest please

Answer:

No.

Step-by-step explanation:

Because two different inputs have the same output.

Answer:

176.625

Step-by-step explanation:

Answer:

7/8 is nearly 1, and 8 1/10 is obviously 8.1 (1/10), which is rounded to 8. So th expression that best estimates the products of those numbers is D, 1 * 8.

Step-by-step explanation:hope this helped

Answer:

A. 83 is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = 83

Have a nice day! :-)

Answer:

14π

Step-by-step explanation:

Area πr^2= 49π sq cm

so r= 7 cm

perimeter= 2πr= 14π

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2

Answer:

34 pounds

Step-by-step explanation:

51 pounds of plum = 27 quarts

x pounds of plum   = 18 quarts

(cross multiply)

27x = 918

divide both sides by 27

x=34 pounds

Answer:

The area is the square unit.

Let the scale factor is k.

The unit circle has area of π.

Similar circle is k times the unit circle.

The ratio of areas is the square of the scale factor:

If the scale factor is r, then the area of the circle with radius of r is:

Since A₁ = π, the area of A₂ is:

Answer:

3

Step-by-step explanation:

Answer:

i belive those are the ones that are under 90 persent

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

35.2/ 8.8= 4

4

Answer:

B) 27

Step-by-step explanation:

(-3,27)

(-1,19)

(0,15)

(2,7)

The augmented matrix, however, is a two-by-four matrix because it also contains the constants.

The augmented matrix will always include one additional column for every additional variable, and the same number of rows as there are equations. An easier technique to write a set of linear equations is to utilize enhanced matrices.

In an augmented matrix, two sides of the matrix are separated by a vertical line that serves as a representation of a succession of equal signs. The collection of linear equations, for instance, would be represented by the matrix. There is only ever one pivot in a column.

For (c): Three rows and four columns make up the augmented matrix of this system. As a result, it only has three pivot points at most. Thus, a pivot column cannot be represented by a single variable.

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Answer:

What is the size of the augmented matrix for the linear system?

B) 2x3

Identify the values for the elements in the augmented matrix:

a11 =  3

a12 =  7

a13 =  20

a21 =  1

a22 =  -4

a23 = 9

Step-by-step explanation:

The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40

The amount of buying 7 litres of orange juice at the cheapest buy is £2.52

500 ml bottle for £1.40

Convert ml to liters:

500 ml = 0.5 liters

Unit rate = 0.5/1.40

= £0.36 per liter

2 litre carton for £2.50

Unit rate = 2/2.50

= £0.8 per liter

2 cartons for £4.50

Unit rate = 2/4.50

= $0.44 per carton

3 litre carton for £3.50

Unit rate = 3 / 3.50

= £0.86 per liter

The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.

Therefore, the cost of 7 liters at the cheapest buy

= £0.36 per liter × 7

= £2.52

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