W=17 im too good at math to be wrong about this
To solve this problem you would break it down .. step by step
1300/x = 100/8
{1300/x) *x = (100/8) ^x - multiplying both sides of equation by the x
1300 = 12.5*x { 100/8 gets 12.5}
1300/12.5 = x
and last .. but not least divide 1300/12.5 and you get ..
x = 104 >> 8% of 1300 = 104 or 1300 of 8% = 104
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
<u>a.</u> the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
<u>b.</u> first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
<u>c.</u> the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
<u>d.</u> two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
Answer:
$4
Step-by-step explanation:
We need to set up an algebraic expression to solve this problem:
Let n= cost of a notepad
Let p= cost of a pen
First set up an expression for Cynthia's purchase:
cost of notepads*number of notepads + cost of pens*number of pens = total cost
n*2 + p*3 = 40.30
Rewrite as:
2n + 3p = 40.30
Next, set up an expression for Annie's purchase:
Here we will be using the same variables
n*3 + p*5 = 61
Rewrite as:
3n + 5p =61
Now, set up a system of equations:
2n + 3p = 40.30
3n + 5p =61
A system of equations can be solved in several ways, here I will use the addition/elimination method
For this method one of the variables must be able to be eliminated
Step 1: Pick a variable to eliminate
Here I will eliminate n
Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together
(2n + 3p = 40.30)(-3)
(3n + 5p =61)(2)
-6n - 9p = -120.90
6n + 10p = 122
Step 3: add vertically
-6n - 9p = -120.90
6n + 10p = 122
p = 1.10
Step 4: Figure out the other variable by inputting the answer you just got back into the original equation
2n + 3(1.10) = 40.30
2n + 3.30 = 40.30
-3.30 37
2n = 37
/2 /2
n = 18.5
One notebook = $18.50
One pen= $1.10
18.50+1.10= $19.60
2nd step
We must first set up an algebraic expression
total=15 pencils
total=9 pens
The total amount is the price of one pencil*15
To figure out one pencil:
10 pencils are $24
1 pencil is $2.40
Total= $36
9 pens = 36
Therefore 1 pen is $4
First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.
Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.
I hope you find this helpful :)