Answer:
In the first account was invested 
at 3%
In the second account was invested 
at 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
First account
substitute in the formula above
Second account
substitute in the formula above
Remember that
The interest is equal to 
so
Adds the interest of both accounts
therefore
In the first account was invested at 3%
In the second account was invested 
at 5%
Hey there!
Your answer is C.
If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.
12 x 1/4 = 3
4 x 1/4 = 1
So, the legs of our new triangle have lengths of 1 and 3.
We can see that option C has the correct triangle in red.
If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.
The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.
The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.
These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.
Hope this helps!
Answer:
2. 92 ounces of Sprite
3. 1/6 do not want mustard on their ham sandwiches
4. 6 hours playing volleyball
5. 32 portions
Step-by-step explanation:
2. Sam has 8 cans of Sprite. Each can is 11 2/4 ounces
We can simplify 2/4 to 1/2
Multiply the number of cans by the ounces per can
8 * 11 1/2
8 * 11.5
92 ounces
3. 1/2 of the students want ham. 1/3 of those do not want mustard
We multiply 1/2*1/3 = 1/6
1/6 of the students do not want mustard on their ham sandwiches
4. 8 hours at the beach. 3/4 of the time was spent playing volleyball
Multiply this together
8*3/4 = 8/4*3 = 2*3 = 6 hours
5. We have 4 lbs of wings. We divide it into 1/8 lbs parts
4 ÷ 1/8
Copy dot flip
4 * 8/1
32 portions
Answer:
1.
a) 5cm
b) 16cm
c) 25cm
d) 124cm
2.
a) 4m
b) 6m
c) 10m
d) 26m
3.
a) 2km
b) 4km
c) 11km
d) 28km
Step-by-step explanation:
When you have a number and it tells you to round it to the nearest cm (m, km etc.), it means you just have to make it a whole number (integer) instead of a decimal by rounding it up or down.
To tell whether you round up or down, you look at the number after the decimal place and if it is under 5, you round down but if it is 5-9 you round up.
For example,
If we had 20.3 (not one of the questions) you would round it down to 20 because the 3 after the decimal place is smaller than 5.
However, if we had 24.7 you would have to round it up because the 7 is from 5-9.
Hope this helps :)
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
