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Crazy boy [7]
2 years ago
11

Lo ran 6 ¼ miles Thelma ran 1 2/3 miles. How many times further did Lo run than Thelma?

Mathematics
1 answer:
irina1246 [14]2 years ago
7 0

Answer: 7 1/2 miles mire

Step-by-step explanation:

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Subject : Maths<br> Level : High school<br> Topic : Surds<br> Points : 72
Mila [183]

Answer:

  • a = 5

Step-by-step explanation:

<u>Simplify:</u>

  • √5(√8 + √18) =
  • √5*8 + √5*18 =
  • √40 + √90 =
  • √4*10 + √9*10 =
  • 2√10 + 3√10 =
  • (2 + 3)√10 =
  • 5√10

<u>The value of a:</u>

  • a√10 = 5√10
  • a = 5
6 0
3 years ago
2. Simplify the following expression 1 (16 (16-12)​
nikklg [1K]

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

4 0
3 years ago
Read 2 more answers
The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+36 . The object is dropped
kakasveta [241]

Check the picture below.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}

so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?

\bf h(x)=-16x^2+36\implies \stackrel{h(x)}{0}=-16x^2+36\implies 16x^2=36 \\\\\\ x^2=\cfrac{36}{16}\implies x^2 = \cfrac{9}{4}\implies x=\sqrt{\cfrac{9}{4}}\implies x=\cfrac{\sqrt{9}}{\sqrt{4}}\implies x = \cfrac{3}{2}~~\textit{seconds}

now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2  = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

4 0
3 years ago
Abie makes $39,000 a year, and spends about $250 each month on entertainment. What
Sergio [31]
$250*12months=$3,000
$39,000/$3,000=13
So 1/13 of her yearly income is spent on entertainment.
6 0
3 years ago
Read 2 more answers
Billy started $68.00 in his checking account. he went out to dinner. he now has $47.50. how much money did he spend on dinner?
emmasim [6.3K]
Correct Option: D) $20.50

Step-by-Step Explanation:

Starting cash = $ 68.00
Balance cash = $ 47.50

We can obtain the amount of money he spent on dinner by subtracting the Balance cash from the Starting cash:

= 68 - 47.50
= 20.50

Therefore, Billy spent $20.50 on Dinner.
5 0
2 years ago
Read 2 more answers
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