Answer:
- The value of x is 12 units.
Step-by-step explanation:
<u>We know that:</u>
<u>Let's solve using Pythagoras theorem.</u>
- => 13² = 5² + x²
- => 169 = 25 + x²
- => 169 - 25 = x²
- => 144 = x²
- => √x² = √144
- => x = √144
- => x = 12
Hence, the value of x is 12 units.
Each snack cost 3.50 and she bought four, one for each child. The child who wrote it only took one snack into account.
The equation should be 14+4x=44
14 being all four snacks
Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee
Data;
- monthly salary = $3500
- commission = $12
- amount due for commission = $100
- cost of coffee = $25
- total amount = $3650
<h3>Word Problem</h3>
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
How many coffee case are inside $100

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.
If 4 coffee = $112
how many coffee will give us $3650

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
Learn more on word problems here;
brainly.com/question/21405634
The probability of not drawing C in neither draw is P = 0.5
<h3>
How to get the probability?</h3>
All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}
The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:
p = 3/4.
Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.
q = 2/3.
The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:
P = p*q = (3/4)*(2/3) = 0.5
If you want to learn more about probability, you can read:
brainly.com/question/251701
Answer:
B'(16,14)
Step-by-step explanation:
In square ABCD, A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).
The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is
(x,y)→(2x,2y)
Thus,
B(8,7)→B'(16,14) (see attached figure).