MATHEMATICS HIGH SCHOOL

What rational number could be graphed between 0 and 1?

Answers

Answer 1

Answer:

Answer:

1\4

Step-by-step explanation:

Answer 2

Answer: Answer: is 1
Assuming 0 and 1 are arithmetic (elementary branch of mathematics)

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Factor completely
16x^2 + 24x + 9

Answers

$16x^2+24x+9=(4x)^2+2(4x)(3)+3^2=(4x+3)^2=(4x+3)(4x+3)$

$16x^2+24x+9=16x^2+12x+12x+9=4x(4x+3)+3(4x+3)\n\n=(4x+3)(4x+3)$

$16x^2 + 24x + 9 =\n (4x+3)^2$

Can someone help? anyone who's taking like geometry?

Answers

The triangles are similar so corresponding sides will be in ratio. The first triangle has sides of 2, 4, and 6. The second triangle has a largest side of 24. You are asked to find the perimeter of the second triangle.
The largest side of the first triangle is 6 and the largest side of the second triangle is 24. This is a ratio of 6:24 which can be reduced to 1:4.
Each side of the second triangle is 4 times as large as the corresponding side of the first triangle.
Now we can calculate the other 2 sides.
2 x 4 = 8
4 x 4 = 16
The three sides are 8, 16 and 24
Perimeter of this triangle is 8 + 16 + 24 = 48

Solve the following dividend problem Oaktree Transportation Corporation has 75,000 shares of stock outstanding. What would the dividend per share of stock be from a dividend declaration of $102,750? How many shares of stock does Jody Nichols hold if her share of the dividend is $20.55?

Answers

$\frac{102750 \textrm{ dollars}}{75000 \textrm{ shares}} = 1.37 \textrm{ dollars per share}}$

Answer: Dividend $1.37 per share

$\frac{20.55 \textrm{ dollars}}{ 1.37 \textrm{ dollars per share}} = 15 \textrm{ shares}$

Answer: Jody has 15 shares

If a man can run p miles in x minutes, how long will it take him to run q miles at the samerate?

Answers

d = p*x = q*t => t = (p*x)/q;

Answer: it wouk take him x minutes because it said at the SAME rate.

Step-by-step explanation:

what are the values of a, b, and c in the quadratic equation –2x^2 4x – 3 = 0? a = 2, b = 4, c = 3 a = 2, b = 4, c = –3 a = –2, b = 4, c = 3 a = –2, b = 4, c = – 3

Answers

a=-2
b= either negative or positive 4 (you didn't include a plus or minus sign in your question)
c=-3
It should be the last answer choice.

the length of a rectangle is 8cm more than the width and its area is 172cm2 .find the width of the rectabgle

Answers

$l-the\ length\nl+8-the\ width\nA=172\ cm^2\n\nA=lengtf\cdot width\n\nsubtitute\n\nl(l+8)=172\n\nl^2+8l=172\ \ \ |subtract\ 172\ from\ both\ sides\n\nl^2+8l-172=0\na=1;\ b=8;\ c=-172\n\n\Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot(-172)=64+688=752 > 0\n\nl_1=(-b-\sqrt\Delta)/(2a)\ and\ l_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(752)=√(16\cdot47)=4√(47)\n\nl_1=(-8-4√(47))/(2\cdot1)=-4-2√(47) < 0\n\nl_2=(-8+4√(47))/(2\cdot1)=-4+2√(47) > 0\n\nThe\ width:l+8=-4+2√(47)+8=4+2√(47)\n\nAnswer:\boxed{length=(2√(47)-4)cm;\ width=(4+2√(47))cm}$
$length\approx9.71cm;\ width\approx17.71cm$

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Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].f[c(p)] = 1.82cp f[c(p)] = 1.82p f[c(p)] = 0.784cp f[c(p)] = 0.784p

A vendor sells 60 pieces of fruit that are either apples or oranges. The ratio of apples to oranges is 3: 2. How many apples did the vendor sell? How many oranges did the vendor sell?