12 - 5.25 = 6.75
The other piece is 6.75 inches long
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer:
add 18 to both sides, giving you 3x = 96
Answer:
Carla lives 16 miles from the Library.
The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given
Step-by-step explanation:
If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c" from her house to the Library is the distance we have to figure.
c² =a² + b²
c² = 10² + 24²
c² = 100 + 576
c² = 676
√c² = √676
c = 26 Carla lives 26 miles from the Library.
Answer:
C. 1.5 cm
Step-by-step explanation:
A pentagon is a polygon with 5 sides.
The formula for the area of a regular polygon is
where a is the apothem and p is the perimeter. The perimeter is found by multiplying the number of sides of the figure by the length of 1 of those sides:
5(2.2) = 11
Now we have everything we need to solve for the length of the apothem.
Begin by multiplying both sides by 2 to get rid of the fraction, so
16.6 = 11a Divide both sides by 11 to get
a = 1.5090909 or
C. 1.5 cm
