Should be D. (5^2)^2= 5^4 (you multiply them) and 5^4+5^4=5^8
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
Answer:
27.75
Step-by-step explanation:
30.75 - 3
Subtract the terms.
= 27.75
<span>1. (−2/3) (16)
Enter your answer as a fraction, in simplified form.
answer: -32/3
2. What is the product of −2 1/2 and −3 1/3 ?
answer: 25/3
3. Divide.
−24/7
answer: -3 3/7
Enter your answer as a mixed number, in simplified form.
</span><span>4. A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4−3.4 kilometers per hour. The cheetah travels a total of 21.5 meters.
What is the total change in the cheetah's speed during this time?
A. 73.1
B. 71.9
C. -71.9
answer: D. -73.1
5. Multiply.
(−0.64) (−2.5)
answer: 1.6
Enter your answer as a decimal.
</span><span>6. Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5 °F −8 °F −6 °F −8 °F −3 °F 2° F 7° F
What is the average low temperature for the week?
answer: -3
7.Divide.
5/6÷−2/3
answer: -5/4 or - 1 1/4 (mixed #) or -1.25 (decimal)
8. Jerry measured and timed the descent of a diving bell spider in a large fish tank. The spider reached a position 4 1/2 inches below the surface of the water after descending at a constant rate for 1 1/2 seconds. Jerry recorded this as −4 1/2 inches.
What is the position of the spider relative to the surface after 1 second?
answer: </span>-3
<span>9. Divide.
(3 3/4) ÷ (−2 1/2)
Enter your answer as a mixed number, in simplified form.
answer: -1 1/2
10. Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost including an 18% tip.
Which expression is equivalent to the amount Miko paid?
</span>
<span>answer: 16 + 0.18(16)</span>
Only option 1 and 4 are true.
Points S, U, and T are the midpoints of the sides of ΔPQR.
ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR.
Which statements are correct? Check all that apply.
1. QP = UT
2. One-halfTS = RQ
3. SU = PR
4. SU ∥ RP
5. UT ⊥ RP
Given to us,
S, U, and T are the midpoints of the sides of ΔPQR.
Using Triangle Midpoint Theorem, which states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Therefore, only option 1 and 4 are true.
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