Answer:
Step-by-step explanation:
S=student cost; T=teacher cost
.
32S+3T=$127 . Multiply this by 2.
64S+6T=$254 Subtract this below
.
25S+2T=$97.50 . Multiply this by 3.
75S+6T=$292.50
64S+6T=$254 . Subtract this (from above.)
.
11S=$38.50
S=$3.50
ANSWER 1: Student tickets cost $3.50.
.
32S+3T=$127
32($3.50)+3T=$127
$112+3T=$127
3T=$15
T=$5.00
ANSWER 2: Teacher tickets cost $5.00.
.
CHECK:
25S+2T=$97.50
25($3.50)+2($5.00)=$97.50
$87.50+$10.00=$97.50
$97.50=$97.50
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Answer:
m=0.25
Step-by-step explanation:
m = (y_2-y_1)/ (x_2-x_1)
Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)
m = (1-2)/(0-4) = 1/4 or 0.25
The smaller the value of the least increment, the more precise a number is.
Length measured to the nearest 1/8 inch will be more precisely specified than length measured to the nearest 1/4 inch.
_____
In general, precision has little to do with accuracy—how close the measured value is to the actual value. A measurement can be very precise, but just plain wrong. (Many electronic instruments have resolution (precision) that exceeds their accuracy. That is, one or two (or more) of the least-significant displayed digits may be in error.)
Answer:
18 inches or 1 foot 6 inches/1 foot and a half
Step-by-step explanation:
one foot is 12 inches long so you take the number of feet given (7—we'll worry about the half later) and multiply by the number of inches that are in a foot (12)
7×12=84
then half a foot is 6 inches so 84+6=90 inches
then we take 90 and divide it by 5 (to get the length of one piece)
90/5=18 inches
you can keep it as 18 inches or convert it into feet which you subtract 12 from 18, and you have 6 inches left which is 1 foot and a half
