Answer the following about estimating 5,392/7.

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: 8.10

Step-by-step explanation: times by each bottle

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.

Learn more on rectangles here:

https://brainly.com/question/15019502

#SPJ2

The probability of rolling 2 even numbers is,

⇒ 1 / 4

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

An experiment involves rolling two dice.

Now, Total possibilities are = 36

And, Number of possibilities to getting even numbers = 9

Hence, The probability of rolling 2 even numbers is,

⇒ 9 / 36

⇒ 1 / 4

Thus, The probability of rolling 2 even numbers is,

⇒ 1 / 4

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

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:

See below

Step-by-step explanation:

100 boxes     28 red    40 green   32 blue

4/10 * 100   = 40       Green

.32 * 100 = 32           Blue

Answer:

121/220 = 55%

88/220 = 40%

66/220 = 30%

The answer would be b

:)

Have an amazing day!!

Please rate and mark brainliest!!!

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.

To learn more about Parallelogram, click on the link given below :

https://brainly.com/question/29147156

#SPJ2

Answer:

8; 3 : 8

Step-by-step explanation:

to find out how many shapes there are for every 3 circles you must first reduce the ratio down to 3 : blank

divide both sides by 4

3 : 8

that means there are 8 shapes for every 3 circles

the simplified ratio is 3 : 8

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: 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:

124

Step-by-step explanation:

3 * 4 * 5 = 60

8 * 2 * 4 = 64

60 + 64 = 124

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%

Question 1: x=12.5

6x+4x+2x+30=180

(One full line forming a semi circle would equal to 180 degrees all the angles given would therefore equal up to that value)

Add like terms to simplify;

12x+30=180

Use inverse operations to isolate the variable!

180-30=150

150/12=12.5

Check ur work!

6(12.5)+4(12.5)+2(12.5)+30=180

75+50+25+30=180

180=180

Question 2: Angle EAF = 25 degrees

Since x equals 12.5

and the equation given to represent the angle is 2x

2(12.5)=25

Question 3: Angle DAE= 50 degrees

x=12.5

Angle DAE=4x

4(12.5) = 50

Question 4: Angle CAD= 75 degrees

x= 12.5

Angle CAD= 6x

6(12.5) = 75

(if any are incorrect i apologize beforehand)

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:

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:

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:

given below

Step-by-step explanation:

option 1 : equally likely

option 2 : impossible

option 3: certain

option 4 : unlikely

option 5 : likely

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.

The 4th one is the answer i did this earlier

Answer:

A is the answer

Step-by-step explanation:

Have a nice day friend.!::::))))

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

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

there for the answer is C=45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

 27 / .60 = C

         45 = C

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:

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

Step-by-step explanation:

Answer:

for question 19 the answer is 6,12

Step-by-step explanation:

and then I'm sure of the last one

pls mark brainlest!!