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School bag _ y

book _ x

system:

y+3x=180

y+5x=270

y=180-3x (and we put that instead of 'y' in the second equation)

(180-3x)+5x=270

180+2x=270

2x=90

x=45

so one book costs $45

and school bag:

y+3×45=180

y+135=180

y=180-135

y=45

Answer:

Each book costed 45$.

Step-by-step explanation:

Let x represent the price of a school bag and y represent the price of a book.

we get the following system of equations:

x+3y=180  (equation 1)

x+5y=270 (equation 2)

using equation 1: x=180-3y

then we substitute x in equation 2 in order to find y:

180-3y+5y=270

180+2y=270

2y=270-180=90

y=90/2=45

and we know that y represents the price of a book, so each book costs 45$.

Answer:

8. Scalene 9. Isosceles

Step-by-step explanation:

8) Acute Scalene

9) Right Isosceles

Triangles can be classified in 3 ways based on their angles: acute, obtuse, and right. There are 3 ways to classify based on sides: scalene, isosceles, and equilateral.

Definitions

Acute - a triangle with 3 acute angles (angles under 90 degrees)

Obtuse - a triangle with 1 obtuse angle (angle greater than 90 degrees)

Right - a triangle with 1 right angle (90-degree angle)

Scalene - a triangle with sides of all different lengths

Isosceles - a triangle with 2 equal sides and angles

Equilateral - a triangle with 3 equal sides

Question 8

From the 2 angles we are given, we can tell that all of the angles are different. This must mean that the sides are also different. Since the sides are different, this must be a scalene triangle. Additionally, the missing angle is 100 degrees; thus, it must be an obtuse triangle.

Question 9

The marks on the 2 sides mean that these lines are equal. Therefore, it must be an isosceles triangle. One of the angles is marked with a box. This means that the angle is 90 degrees.  So, it is a right triangle.

Answer:

See below

Step-by-step explanation:

100 boxes     28 red    40 green   32 blue

4/10 * 100   = 40       Green

.32 * 100 = 32           Blue

Answer:

c = 0.06p + p

Step-by-step explanation:

hope this helped

An equation that represents the total cost, c, of any item bought in Idaho whose price is p is c = 1.06p.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Cost of the winter jacket = $30

Sales tax = 6%

Total cost of the winter jacket = 30 + (6% × 30)

                                                   = 30 + 1.8

                                                   = $31.8

If the total cost of any item is c whose price is p,

c = p + (6% × p)

c = p + 0.06p

c = 1.06p

Hence the required equation is c = 1.06p.

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Answer:

22 11/16 or 22.68

Step-by-step explanation:

Turn the mixed numbers to fractions

[tex]\frac{11}{2} *\frac{33}{8}[/tex]

Then multiply both Numerators

11 x 33=363

Also do the same to the Denominators

2 x 8=16

You get  [tex]\frac{363}{16}[/tex]

Simplify and it becomes 22 11/16 or 22.68

Answer:

B and C

Step-by-step explanation:

Kitten:

2 times in the morning and 2 times in the evening = 4 times per day

That means Ariane feeds her kitten 4k grams of food per day.

Dog:

1 time in the morning and 1 time in the evening = 2 times per day

That means Ariane feeds her dog 2d grams of food per day.

Answer:

If you find the total, you have to add the kitten's food per day and the dog's food per day. That is 4k + 2d, which is the same as choice B.

We can break 4k into 2k + 2k. We can also break 2d into d + d. We can write that as 2k + 2k + d + d. That equals the same as choice C, making it a correct choice.

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The 4th one is the answer i did this earlier

Answer:

for question 19 the answer is 6,12

Step-by-step explanation:

and then I'm sure of the last one

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Answer:

They both are a 90 degree angle.

For the parallelogram KLMN, opposite angles K and M are equal.

Parallelogram are type of quadrilateral in two dimensional geometry which has four sides, four vertices and four angles where opposite sides are equal. They also have the two pairs of sides parallel to each other. These sides are opposite sides.

The sum of the adjacent angles of the parallelogram is equal to 180 degrees and the sum of all angles is equal to 360 degrees. Also the opposite angles are equal.

Given that KLMN is a parallelogram.

Here K and M are opposite vertices and also L and N are opposite vertices.

In a parallelogram, we know that measure of opposite angles will be equal. So here, measure of angles K and M are equal.

Therefore, since angles K and M are opposite angles of the parallelogram, they are equal.

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Answer:

height of the tree : 17.63 m

create a proportional equation:

[tex]\hookrightarrow \sf \dfrac{1.85}{39.55-35.4} =\dfrac{h}{39.55}[/tex]

[tex]\hookrightarrow \sf \dfrac{1.85}{4.15} =\dfrac{h}{39.55}[/tex]

[tex]\hookrightarrow \sf (39.55)1.85} =(4.15)h}[/tex]

[tex]\hookrightarrow \sf 4.15h= 73.1675[/tex]

[tex]\hookrightarrow \sf h= \dfrac{73.1675}{4.15}[/tex]

[tex]\hookrightarrow \sf h=17.63072...[/tex]

[tex]\rightarrow \sf h=17.63[/tex]

Answer:height of the tree : 17.63 m

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

so your given an angle, 110, and another with an equation, 8x+30, which happens to be vertical to 110 degree angle meaning they are equal, so they both are equal to 110 now how do you solve for x? you simply reverse the equation that x is in, so you subtract 110-30=80, then divide by 8 giving you 10, so x=10.

Answer:

X = 10, because of the second angle's equation. 8x + 30 hints the solution. 110 - 30 is 80, and 80 / 8x In this case, x can be represented as itself is 10

Answer:

2

Step-by-step explanation:

If you look at how many lines are lines up at the ten that is the answer

Answer:

2

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

3 * 4 * 5 = 60

8 * 2 * 4 = 64

60 + 64 = 124

Answer:40

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

40

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

usually the independent value is the x value and the y is the dependent value.

Step-by-step explanation:

an example is "The fee for a hotel room differs from how many days you stay"

independent: the number of days you stay at hotel

dependent: fee for hotel room

Answer:

Surface Area = 2×(3.4×18 + 3.4×30.6 + 18×30.6) = 1432.08 centimeters2

Step-by-step explanation:

Sphere

Solve for radius

r≈5.76m

V Volume

802

m³

r

d

r

d

d

r

Using the formula

V=4

3πr3

Solving forr

r=(3V

4π)⅓=(3·802

4·π)⅓≈5.76362m

Answer:

r = 5.8 meters

Step-by-step explanation:

The volume formula is V = (4/3)(pi)(r^3), where r is the radius.

Solving for r, we get first 3V = (4pi)(r^3), so that r^3 = (3V)/(4pi)

or in this case, r^3 = 3(802 m^3) / (4pi) = 191.5 meters^3

Taking the cube root of both sides yields r = 5.8 meters

Answer:

121/220 = 55%

88/220 = 40%

66/220 = 30%

The answer would be b

:)

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By examining this image:

  ⇒ we see a right triangle made up of sidelength of h, 8, and 17

     ⇒ we know this is a right triangle because there is a little square

         ⇒between lines of length 8 and h

            ⇒ which indicates this angle is 90 degrees

               ⇒ which indicates we have a right triangle

Since we have a right triangle

   ⇒ we can use the Pythagorean Theorem

           *look at the image attached for a better explanation

Now let's form an equation (based on the Pythagorean Theorem)

   [tex]h^2 + 8^2 = 17^2\\h^2 = 17^2- 8^2h^2 = 289 - 64 = 225\\h^2 = 225\\h = 15[/tex]

Thus h = 15cm

Hope that helps!

Answer: So when you double the radius, the area goes up by 4 times because 2 squared is 4. The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double -- from 12.56 to 25.12 because you do not square the radius (or diameter) -- you just multiply it by pi.

Answer:

Option B and Option D

Step-by-step explanation:

B = 3*x = 3x, 3*15 = 45.

D=3* x + 15.

3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180

Two or more expressions with an Equal sign is called as Equation.

We have to solve the equation  3x+45=180

Now isolate x on one side of the equation.

We can do this by subtracting 45 from both sides, giving us 3x=135, and then dividing both sides by 3 to get x=45.

Therefore, the equivalent equations are:

3x = 135

x + 15 = 60

Hence, 3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180

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Answer:

given below

Step-by-step explanation:

option 1 : equally likely

option 2 : impossible

option 3: certain

option 4 : unlikely

option 5 : likely

18 meters by 14 meters

Step-by-step explanation:

18 meters by 14 meters

Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).

This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:

2L+2W = 64

Now we know the area enclosed must be 252 so we have:

L* W = 252

Rewriting the second equation we get:

Plug this into first equation to get:

(multiply everything by L)

Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.

Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).

Answer:

1. 17/40, 0.425, 42.5%

2. 7/8, .875, 87.5%

Step-by-step explanation:

Add all of our balloons popped, which is 40. striped balloons popped is 17, so 17/40. which is 0.425 and 42.5%

for polka dots, it would be 7/8. 35/40 simplest form is 7/8 then we get .875, which is 87.5%

Answer:

228.75 inches cubed

Step-by-step explanation:

This is because the formula to find the volume of a rectangular prism is base x height x width. so if you plug in the numbers, 7 5/8 x 12 x 2 1/2, and we get our answer of 228.75 inches cubed or 228.75 in.^3

Step-by-step explanation:

l = 12 metres

b = 15 metres

diameter of semicircle = length = 12 m

radius = 12/2 = 6 cm

area of the figure = area of rectangle + area of semi circle

= l × b + πr²

= 12 × 15 + 3.14 × 6²

= 180 + 113.04

= 293.04 m²

The perimeter of the figure is 60.84 meters.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the width and height of the rectangle are 15 meters and 12 meters respectively.

Note that the diamter o he semicircel is 12 meters.

The radius of the semicircle is:

12/2

= 6 meters

The perimeter of the figure is given by:
15 + 12 + 15 + π(6)

= 42 + 3.14×6

= 60.84

Hence, the perimeter of the figure is 60.84 meters.

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