Answer:
21 cm
Step-by-step explanation:
The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.
105 cm/5 = 21 cm
The shorter piece is 21 cm.
_____
We assume you can figure out how to write only the digits of the number.
Answer:
Minimum = 14
Median = 32
Maximum = 65
Step-by-step explanation:
<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is
14, 18, 28, 29, 32, 44, 48, 50, 65
<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.
Minimum = 14
Maximum = 65
<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so
Median = 32
<u>Step 4: </u>Place parentheses around the numbers above and below the median.
(14, 18, 28, 29), 32, (44, 48, 50, 65)
<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.
First quartile
Third quartile
<u>Step 6:</u> Write down your summary found in the above steps.
Minimum = 14
Median = 32
Maximum = 65
A. They are not similar because their corresponding angles are not congruent.
Their angles are not the same.
The 1st triangle is a scalene triangle (a triangle that has 3 unequal sides and angles)
The 2nd triangle is an isosceles triangle (a triangle that has 2 congruent/equal sides and 2 congruent angles)
Answer:
Factor out the greatest common factor
Step-by-step explanation:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
Answer:
$9.75
Step-by-step explanation:
A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $22
. Find the cost for each pound of walnuts and each pound of chocolate chips.
***
let x=cost/lb of walnuts
let y=cost/lb of chocolate chips
..
3x+5y=16
6x+2y=22
..
6x+10y=32 (mult. eq by 2)
6x+2y=22
subtract:
8y=10
y=10/8=1.25
x=16-5y=9.75
cost/lb of walnuts=$1.25
cost/lb of chocolate chips=$9.75
