Half of the sum of 3x and 4

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

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Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]

Substitute the value of [tex]\cos x[/tex]

[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]

Answer:

25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

they took the square root of both sides

Answer:

C. 5^4

Step-by-step explanation:

(5^4 * 5^5) / 5^5

5^9 / 5^5

5^4

Answer:

x = 4

Step-by-step explanation:

By intersecting chords theorem:

[tex]8(4x + 2) = 9(4x) \\ \\ 32x + 16 = 36x \\ \\ 32x - 36x = - 16 \\ \\ - 4x = - 16 \\ \\ x = \frac{ - 16}{ - 4} \\ \\ x = 4[/tex]

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

Answer:

x^2 -7x + 12

Step-by-step explanation:

(x-3) (x-4)

Expand

x^2 -3x - 4x + 12

Simplify

x^2 -7x + 12

Hope that helps!

Answer:

x²-7x+12

Step-by-step explanation:

When doing these types of problems, you have to multiply each term with each other.

Lets take a look at this.

We have to multiply each term with each other, so x times x =x²

x times -3=-3x

x times -4=-4x

-3 times -4=12

now we add them all up to get

x²-7x+12

Answer:

2x^4

-x^3 + 3x^2 + 2x + 4

5x^2 + 5x + 5

-3x + 10

22

Step-by-step explanation:

find the highest exponent of each polynomials:

22=> 0 degree

-3x(equals to -3x^1) + 10=> 1st degree

5x^2 + 5x + 5=> 2nd degree

-x^3 + 3x^2 + 2x + 4=> 3rd degree

2x^4=> 4th degree

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer:

3/2 pi + 12

Step-by-step explanation:

In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.

The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.

The radius of the arc is 3, because at the bottom we see the width of the figure is 3.

Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.

Therefore, our answer is 3/2 pi + 12

Answer:

purple bc there are more purple in the bag then yellow. I'm pretty sure this is right

Answer:

2    4/6     8/12

3  2/4      5/10

4    8/10     40/50

Step-by-step explanation:

Answer:

because

Step-by-step explanation:

when you make 16-2 it equals= 14

Answer:

x=2,−4 hope this was help full

Answer:

Plzzzz answer fast.....

Answer:

70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B

Answer:

70 degrees

Step-by-step explanation:

90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70

Answer:

it is 90

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2*2-1m=3m

2+3m=5m

3m*5m=15m

Ignore the m it represents the meters

Photo shows how to get x=2

Answer:

Its C, trust me I'm an almost 20 year old still in high school. Failed Junior year twice. :)

Step-by-step explanation:

EDGE 2019

Answer:

20 days

Step-by-step explanation:

10 to get to 4 needs to be divided by 2.5 so we do the opposite to the other side since with fewer people it would take longer. (2.5 times longer).

10/2.5 = 4

8x2.5 = 20 days

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Answer:   Peter had the fastest interval at D.

Step-by-step explanation:

Peter traveled roughly 180 miles in 3 hours for point D, thus making him the fastest.

Peter had the fastest interval at D.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

From Point A to Point B Peter traveled roughly 30 miles in 30 minutes.

From Point B to Point C Peter traveled roughly 130 miles in 2 hours and 30 minutes.

From Point C he didn't move in distance but the hours moved so c is out.

From Point C to Point D, Peter traveled roughly 180 miles in 3 hours.

Therefore D Peter had the fastest interval at D.

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Answer:

Step-by-step explanation:

The solid, blue line is the graph of a function. The dotted, blue line is not a function.

Answer:

y - (-9) = -10 (x - 1)

Step-by-step explanation:

y = mx + b

m (slope) = (y'-y) / (x'-x) = (101 - (-9)) / (-10) - 1) = 110/(-11) = -10

pass (1 , -9)

m = (y - (-9)) / (x - 1) = -10

y - (-9) = -10 (x - 1)

Answer:

the polygon on the right side is doubled the size of the one on the left, therefore x=11

Answer:

quadrant 2

Step-by-step explanation:

quadrant 1 = +,+

quadrant 2=-,+

quadrant 3= -,-

quadrant 4: +,-

Answer:

10

Step-by-step explanation:

We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.

The formula for Pythagoras Theorem =

c² = a² + b²

c = √a² + b²

Where c is the longest side

From the above diagram, we are looking for c

c = ?

a = 6

b = 8

Hence,

c = √6² + 8²

c = √36 + 64

c = √100

c = 10

Therefore, side c = 10

Answer: The number of push-ups Noah does.

Step-by-step explanation:

Diego does twice as many push-ups as

Noah (2x) and also 40 jumping jacks (+40). He does 62 exercises (=62).

It's not the amount that Diego does because Diego's amount is twice of Noah's, or twice of x. X would have to equal the number of push-ups Noah does.

Answer:

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Step-by-step explanation:

Given

[tex]Flowers = 25x^2 + 5x + 5[/tex]

[tex]Unit\ price = 5x[/tex]

Required

The total price for 5 days

First, calculate the total for a day.

[tex]1\ day = Unit\ price * Flowers[/tex]

[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]

Open bracket

[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]

For 5 days, the total will be.

Total = days * sales of a day

So, we have:

[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]