Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pencils in each bag he puts twice as many regular pencils in each bag

Given :

Total amount, T = 10000 . ( It should not 1000 )

Annual rates of interest in both scheme is 8% and 9% .

After one year he got 875 rupees as interests from both.

To Find :

How much did he invest in each.

Solution :

Let, amount invested in 8% annual interest scheme is x.

So, amount in other scheme is 10000-x .

Now, sum of interest is equal to 875.

[tex]\dfrac{x\times r_1 \times 1}{100}+\dfrac{(10000-x)\times r_2\times 1}{100}=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500[/tex]

Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.

Hence, this is the required solution.

Answer:

c

Step-by-step explanation:

Answer:

The height of the window = x + 2 = 4.23 + 2= 6.23m

Step-by-step explanation:

The angle of elevation of the top of the house and the window is 60 and 45 degree.

We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.

we don't know the distance between man and the building let it be 'b'

[tex]\frac{x}{b}=tan 45[/tex] =1

x=b .............(1)

total height of the building is given as 12m

  x + y + 2=12

x + y = 10 .....................(2)

[tex]\frac{x+y}{b} =\frac{x+y}{x }[/tex]  = tan 60

[tex]\frac{10}{x} = \sqrt{3}[/tex]

x = [tex]\frac{10}{\sqrt{3} }[/tex]  ≈ 5.77m

y = 10 -   [tex]\frac{10}{\sqrt{3} }[/tex]

y= 10(1-[tex]\frac{1}{\sqrt{3} }[/tex] ) ≈ 4.23m

The height of the window = x + 2 = 4.23 + 2= 6.23m

Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Answer:

29

Step-by-step explanation:

27 + 28 + 29 = 84

Answer:

D

Step-by-step explanation:

Let the first number be n.

Then the consecutive number will be (n+1).

And the second consecutive number will be (n+2).

We know that it totals 84. So, we can write the following equation:

[tex]n+(n+1)+(n+2)=84[/tex]

Let’s now solve for n. Combine like terms:

[tex]3n+3=84[/tex]

Subtract 3 from both sides:

[tex]3n=81[/tex]

Divide both sides by 3:

[tex]n=27[/tex]

So, our n or first term is 27.

This means that our sequence is: 27, 28, and 29.

So, our largest number is 29.

Hence, our answer is D.

Answer:

I cant see the problems

Step-by-step explanation:

Answer:

Actual height of the building is 37.5 feet

Step-by-step explanation:

Formula to be used to get the actual length of the building,

Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]

By this formula,

[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]

Actual height of the building = 1.25 × 30

                                               = 37.5 feet

Therefore, actual height of the building will be 37.5 feet.

Answer:

5/4

Step-by-step explanation:

1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.2p

Answer:

875

Step-by-step explanation:

Answer:

Simply line it up and divide it.

Then you get the answer:

875

Answer:

3.3°

Step-by-step explanation:

The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.

The length at which the pitcher hit the ground is the hypotenuse.

Given

Opposite side = 3.4m

Hypotenuse = 58.8m

Required

Angle of depression

Using SOH CAH TOA trigonometry identity

According to SOH,

Sin(theta) = opposite/hypotenuse

Sin(theta) = 3.4/58.8

Sin(theta) =0.05782

theta = sin^-1(0.05782)

theta = 3.32°

Hence the angle of depression that he must release the ball to nearest tenth is 3.3°

The solution is, The shape that is generated is a Cone, when AABC is rotated around the vertical line through B and C.

A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

here, we have,

given that,

triangle ABC is rotated around the vertical line through B and C.

now, we have to find shape that is generated .

we know that,

A triangle, when rotated about one of it's side will generate a solid in a form of a Cone.

again, we have,

The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.

Hence, The solution is, The shape that is generated is a Cone, when triangle ABC is rotated around the vertical line through B and C.

To get more about cone visit:

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Answer:

30

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

     = 2(216) - 9(36) + 11

     = 432 - 324 + 11

     = 119 ← remainder

Answer:

well your ans is right over there...

Step-by-step explanation:

thank you!!

Answer:

Answer:

how long is the school week??

Answer:

He will break 7.5 pencils during a 5-day school week!

Answer:

-5

Step-by-step explanation:

-7 - (-2)

-7 + 2

Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2  to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.

Hope this helps:)

Answer:

8.4 days

Step-by-step explanation:

I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.

Answer:

5/7

Step-by-step explanation

The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7

Answer:

the one you have clicked is correct just took that quiz

Step-by-step explanation:

Answer:

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Step-by-step explanation:

Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:

[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)

Sabemos que el entero más pequeño divisible por 36 es:

[tex]x_{min} = \frac{108}{36}[/tex]

[tex]x_{min} = 3[/tex]

Mientras que el entero más grande divisible por 36 es:

[tex]x_{max} = \frac{432}{36}[/tex]

[tex]x_{max} = 12[/tex]

La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:

[tex]a = 1+(x_{max}-x_{min})[/tex] (2)

[tex]a = 1+(12-3)[/tex]

[tex]a = 10[/tex]

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Answer:

34sq. units

Step-by-step explanation:

The area of the rectangle shown is expressed as;

A = length *width

The length = AD = BC

Width = AB =  CD

From the diagram, we will look for AD and AB using the formula for calculating distance between two points;

D = √(x2-x1)²+(y2-y1)²

For AB where A(-1,4) and B(3,3)

AB = √(3-(-1))²+(3-4)²

AB = √(4)²+(-1)²

AB =√16+1

AB = √17

For AD where A(-1,4) and D(-3,-4)

AD = √(-3-(-1))²+(-4-4)²

AD = √(-2)²+(-8)²

AD =√4+64

AD = √68

Hence area of the rectangle = √17*√68

Hence area of the rectangle = √1156

Hence area of the rectangle = 34

Hence area of the rectangle ≈ 34sq. units

Answer:

D.

Step-by-step explanation:

If the function f(x) = 4x – 8 is reflected across the y-axis. Then the reflected function will be g(x) = – 4x – 8.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

It is the image of the line which is located in the opposite direction of a given line.

The function f(x) = 4x – 8 is reflected across the y-axis.

If the function f(x) = 4x – 8 is reflected across the y-axis, then replace x with negative x. Then the reflected function will be

g(x) = – 4x – 8

The graph of the function and reflected function is given below.

More about the function link is given below.

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1. Multiply all the x and y by 2

M (-6,4)

A (-4,6)

T (-2,4)

H (-4,2)

2. They stayed in the same quadrants. The x and y values shifted.

3. Scale factor of 1/2

4. .....mayhaps?

Answer: What error is there, the answer to the equation is x= -1/2

Answer:

Step-by-step explanation:

Answer:

Rs. 25,468.8

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

P = principal = RS. 24,000

r = interest rate = 4%= 0.04

n = number of periods = 2

t = years = 1 year and 6 months = 1.5 years

A = p(1 + r/n)^nt

= 24,000(1 + 0.04/2)^2*1.5

= 24,000(1 + 0.02)^3

= 24,000(1.02)^3

= 24,000( 1.0612)

= 25,468.8

A = Rs. 25,468.8

Answer:

x = 5

Step-by-step explanation:

-3 * (x-3) = -6

3x+9 = -6 (divide by 3)

-x + 3 = -2 (minus 3)

-x = -5 (multiply by -1)

x = 5

Answer & Step-by-step explanation:

Answer:

64 higene

Step-by-step explanation:

16 morderate 20 9 oxygen