Simplify the expression (3.5x - 2.7y) + (-12.8x + 15.8y)

Answer:

96

Step-by-step explanation:

First we can express in numbers how many students are freshman :

(28:100)=0.28 (percent into integer)

Then we multiply this number with 1600

1600*0.28=448 (this is the number of freshman)

Now we do it again with the number of juniors

(22:100)=0.22

1600*0.22= 352

Now we only subtraction these two numbers

448-352= 96

So we now know that there is 96 more freshmens than juniors

Given:

The triangle PQR on a coordinate plane.

To find:

The image of point Q after a rotation of 90° counterclockwise about the origin.

Solution:

From the given graph, it is clear that the coordinates of point Q are (5,0).

If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]Q(5,0)\to Q'(-(0),5)[/tex]

[tex]Q(5,0)\to Q'(0,5)[/tex]

So, the image of point Q is (0,5).

Therefore, the correct option is (a).

Answer: 3:30 per gallon

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

From least to greatest: -10, -3, -1

Answer:

Ratios to roses to lilies....6:9

Reduced.....2:3

Step-by-step explanation:

Pretty simple doesn't need explaining

Answer:

hjyuojhgfdsa

Step-by-step explanation:

Answer:

the answer is 313

Step-by-step explanation:

Answer: B does not belong with the others. The others are all right triangles, while B is an obtuse triangle. It might be wrong if they're looking for something different though.

Step-by-step explanation:

Answer:

so 8 squared is 64 but when you do 2 cubed its 8

is this what you wanted?

Answer:

Step-by-step explanation:

22 into 2 and 11

2 is already prime and 11 is already prime

Answer:

12 5/8 ft

Step-by-step explanation:

13 - 1 = 12

7/8 - 1/4 = 5/8

=12 5/8

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

For the given triangle,

area = [tex]\frac{1}{2}[/tex] x b x 3h

       = [tex]\frac{3}{2}[/tex]bh

Area of the triangle = [tex]\frac{3}{2}[/tex]bh

To determine the number of hectares,

36 per hectare = 486

hectare = [tex]\frac{486}{36}[/tex]

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = [tex]\frac{3}{2}[/tex]bh

135 000 = [tex]\frac{3}{2}[/tex]bh

270000 = 3bh

bh = [tex]\frac{270000}{3}[/tex]

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3[tex]h^{2}[/tex] = 90000

[tex]h^{2}[/tex]  = [tex]\frac{90000}{3}[/tex]

     = 30000

h = [tex]\sqrt{30000}[/tex]

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

Answer:

Slope: -1/2

Y-Intercept: (0,-3)

Step-by-step explanation:

y=mx + b

m is the slope, b is the y-intercept

Answer:

-1/2

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1).

Plug in the values given in the problem

(11-7)/((-2)-6)

Then simplify

4/(-8)=-1/2

Answer:

y = -4 x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4x^2+20x/6x^2+x-2

Step-by-step explanation:

I'm cracked

Answer:

kinetic

Step-by-step explanation:

it is using the energy

Answer: B. kinetic energy

Step-by-step explanation: i think this because kinetic energy is the spped of something for example a ball rolling down a hill is kinetic energy

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.  

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1  is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

Answer:

the area is 286

pls mark as brainlist

Answer:

476 ft^2

Step-by-step explanation:

Area of the square:

Formula: L x W

13 x 22 =

286

Area of Semi-Circle:

Formula: 1/2(πr^2 )

1/2 (π11^2)

=190

Area of square + Area of Semi Circle

=476 ft^2

Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

y=4

Step-by-step explanation:

[tex]\tt{-12=-3y }[/tex] ⠀

[tex]\tt{ y=\dfrac{-12}{-3} }[/tex] ⠀

[tex]\tt{y=4 }[/tex] ⠀

Step-by-step explanation: depending on where he made the shots imma have to go wit B

Answer: -3x+10y

Step-by-step explanation:

Just add the like terms

6x-9x=-3x

8y+2y=10y

The equation then simplifies to -3x+10y

Answer:

6 pieces

Step-by-step explanation:

Total pieces of art = 120

He puts 5% of them in an art show

How many pieces of art dose Jason put in the art show ?

pieces of art dose Jason put in the art show = 5% of 120

= 5/100 × 120

= 0.05 × 120

= 6

Therefore, Jason put 6 pieces of art dose in the art show

Answer:

JD is wrong.

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Step-by-step explanation:

The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.

So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.

Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.

So, JD is wrong.

We calculate both the volume of the sphere and cube.

Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches

So, V = 4πr³/3

= 4π(4 in)³/3

= 4π(64) in³/3

= 256π in³/3

= 804.25 in³/3

= 268.1 in³

Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches

So, V' = L³

= (7.5 in)³

= 421.88 in³  

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Answer:   $ 4860

Step-by-step explanation:

Formula : Amount = P (1+rt) , P = principal value , r= rate of interest , t= time

Given ; P= $4500  , r =  4% = 0.04 , t = 2years

Total amount we will have to pay back to the bank = [tex]4500(1+0.04\times 2)[/tex]

[tex]=4500(1+0.08)\\\\=4500(1.08)\\\\=\$ 4860[/tex]

Hence, the total amount we will have to pay back to the bank = $ 4860

Answer:

I believe the answer would be A.

Step-by-step explanation:

A says 6 x h is 54.

            ^    ^      ^

            important!

6 is the number of hours.

h is how much money made per hour.

54 is the total after working 6 hours.