B.) 23
the equation set up is “ 4x+13=105 “
do -13 on both sides which would then leave you with “ 4x=92 “. then you just divide 4x on both sides, giving you the answer of 23 :D
I think is a because if you see and do it you could see
Answer:
52 dimes and 28 nickels
Step-by-step explanation:
n = number of nickels
d = number of dimes
n+d = 80 the number of coins he got
Multiply the number of nickels times .05 plus the number of dimes times .10 to equal the amount of money he got
.05n + .10d = 6.60
Divide this equation by .05
.05n/.05 + .10/.05 = 6.60/.05
n + 2d = 132
n+d = 80
Multiply by -1
-n-d=-80
Add this to n+2d = 132
n+2d=132
-n-d=-80
-------------------
d = 52
Now we need to solve for n
n+d = 80
n+52 = 80
Subtract 52 from each side
n+52-52= 80-52
n = 28
Answer:
67.5feet
Step-by-step explanation:
Given parameters:
Model distance between building and gymnasium = 22.5 inches
Scale of model : 1 inch = 3 feet
Unknown:
Actual ground distance = ?
To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.
In this problem;
the scale is given as;
1 inch on model represents 3 feet on ground
Now, to find 22.5 inches, simply cross multiply and solve;
If 1 inch on model represents 3 feet on ground
22.5 inches on a model will be =
= 67.5feet
Therefore, the actual distance is 67.5feet
Answer:
<h3>By 161700 ways this test batch can be chosen.</h3>
Step-by-step explanation:
We are given that total number of bulbs are = 100.
Number of bulbs are tested = 3.
Please note, when order it not important, we apply combination.
Choosing 3 bulbs out of 100 don't need any specific order.
Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.
read as r out of n.
Plugging n=100 and r=3 in above formula, we get
Expanding 100! upto 97!, we get
=
Crossing out common 97! from top and bottom, we get
=
Expanding 3!, we get
=
= 100 × 33 × 49
= 161700 ways.
<h3>Therefore, by 161700 ways this test batch can be chosen.</h3>