Answer:
The eight represents a tenth/ten
Step-by-step explanation:
The 2 represents a two hundred, the 8 a eight tenth/eighty and the 1 a one
Answer:
The c statement is not true.
Step-by-step explanation:
We need to check every statement to determine which one is false.
a. The old tax rate was 6% and the new one is 18%. The difference between the new and the old one will give us how much it's been increased. So 18-6=12, meaning the tax has increased 12%, so this statement is true.
b. If we multiply by 3 the old tax rate we get 6x3=18, which is the same as the new tax rate, so this statement is also true.
c. Increasing the tax rate 100% would mean multiplying by 2, since 100% is the same as the number, so adding that to the same number would double the amount. By the same logic, increasing it 200% would be the same as multiplying it by 3, and by 4 with a 300% increase. Since we already determined that the new tax was 3 times the old one, this statement is false, and the d. statement is true.
Answer:
19
Step-by-step explanation:
We can solve this problem using a system of equation in two unknowns.
Let b = number of birds.
Let c = number of cats.
The care of a bird costs $5.50, so for b number of birds, the cost of care is 5.5b.
The care of a cat costs $8.50, so for c number of cats, the cost of care is 8.5c.
The total cost of care for the birds and cats is 5.5b + 8.5c.
The total cost of care is $291.50. This must equal the expression we have above, so we get our first equation.
5.5b + 8.5c = 291.5
The total number of birds and cats is b + c, but we are told it is 41, so our second equation is:
b + c = 41
We now have the following system of two equations in two unknowns.
5.5b + 8.5c = 291.5
b + c = 41
Rewrite the first equation.
Multiply both sides of the second equation by -8.5, and write it under the first equation. Then add the equations.
5.5b + 8.5c = 291.5
+ -8.5b - 8.5c = -348.50
--------------------------------------
-3b = -57
Divide both sides of the equation by -3.
b = 19
Answer: there were 19 birds
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.
<span>POINT (an undefined term) </span>
<span>In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). </span>
<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>
<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>
<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>
<span>Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. </span>
<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
Answer:
15.9
Step-by-step explanation:
Formula:
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
x = 15.91
