Answer:
56
Step-by-step explanation:
Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.
Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.
Now there are two approaches to this. I'm going to take the easier one.
What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.
This mean 30% of x = 24.
30/100 × x = 24
30x = 24× 100
30x = 2,400
x = 2,400/30 = 80.
This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.
This number now equals 80 - 24 = 56 hot dogs.
This mean Mandy sold 56 hot dogs at full price.
Answer:
Step-by-step explanation:
STEP 1 - Write the formula Speed = Distance/Time on the board. STEP 2 - Divide the distance travelled (150 metres) by the time it took to travel (25 seconds). STEP 3 - Do the calculation 150 divided 25. You can use a calculator if you need to!
Answer:
1) 36 + 50 = 86 : Addition property of equality
2) m<D = m<ADB : If two angles have the same measure, then they are equal.
3) <D congruent to <ADB : if two angle are equal, then they are congruent.
4) <D, <ADB are alternate interior angles: assumed from diagram
5) <u>CD // AB</u> : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.
6) 130 + 50 = 180 : addition property of equality
7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.
8) <E, <BAE are same-side interior angles : assumed from diagram
9) <u>EF // AB</u> : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.
10) <u>CD // EF </u>: if two lines are // to the same line, then they are //.
im pretty sure this is the proof
Answer:
549
Step-by-step explanation:
<u>G</u><u>iven </u><u>:</u><u>-</u><u> </u>
- A sequence 4 , 9 , 14 , ...
And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,
<u>Using</u><u> </u><u>formula</u><u> </u><u>:</u><u>-</u><u> </u>
T_n = a + ( n -1)d
T_n = 4 + (110-1)5
T_110 = 4 + 109*5
T_110 = 4 + 545
T_110 = 549 .
<u>Hence </u><u>the </u><u>1</u><u>1</u><u>0</u><u> </u><u>th </u><u>term </u><u>is </u><u>5</u><u>4</u><u>9</u><u> </u><u>.</u>
It is the Correct answer hope this help you
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