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# The area of a rectangle is 252 square feet. If the perimeter is 66 feet, find the length and width of a rectangle? (answer)

Hello, Jesse -- You need to use your information about area and perimeter to set up two equations with two variables representing length and width of the rectangle. Then you will set up a quadratic equation. Let's use L for the length and W for the width of the rectangle: For the perimeter:...

Hello, Elasa --- Look again at your equation. The 3 in front of the parentheses means that you have to multiply 3 times anything inside the parentheses. That is the distributive property. Let's see how it works:         5x + 3(x + 4)  = 28       Multiply 3 times x and 3 times +4, and...

# solve the inequality. write the solution set in interval notation and graph it. 16x-32>4(3x-12) (answer)

You can solve this by following the same steps as for an equation with an = sign instead of the > sign. First, distribute the 4 through the parentheses on the right side:           16x - 32 > 12x - 48 Now subtract 12x from both sides, and add 32 to both sides:            16x  - 32...

# a ladder is 22 ft long. the base of the ladder is 18 ft from the house. how high is the wall? round to the nearest tenth. (answer)

Assuming that the house is perpenidcular to the ground on which the ladder stands, use the Pythagorean Theorem for the sides of right triangles:            a2 + b2  =  c2 In this problem a = 18, b is the unknown, and c is the length of the ladder (the hypotenuse of the triangle)....

# Witch president di the house of representatives impeach (answer)

Andrew Johnson, not Andrew Jackson, was impeached by the House in February 1868 because northern senators were dissatisfied with his performance in the years just after the Civil War. He had a trial in the Senate, and was acquitted by one vote in May 1868. President Bill Clinton also was impeached...

Hello, Cheryl -- This problem can be solved either way. If you are comfortable with factoring, that might be the easiest method. First, add 15 to both sides and set the result equal to 0:           9x2 + 21x + 10  =  0 Next, try combinations of factors of 9 and 10 that, when FOILed,...

# nine less than five times a number is 26. What is the number? (answer)

Hello, Tiffany -- In this problem, you will set it up as a subtraction and multiplication, and then do the opposite operations to solve it. First, let's call the number you are looking for "n," and write an equation that explains the words in terms of symbols and numbers. "9 less than 5...

# Put the following two equations in slope-intercept form and show that they are Perpendicular. (answer)

Hi, Henriettas -- Slope-intercept equations have the form y = mx + b, where m is the slope and b is the y-intercept. We will do these one at a time:           2x - 3y = 5         we need to piut the 2x term on the right:          -2x            -2x ________________...

# 300 apples r distributed equally among a certain no of stdudents had there been 10 more students each would have recd 1 apple less find number of students (answer)

The original average is the number of apples (300) divided by the number of students (let's call this "n"). Thus we begin with A1 =  (300/n). We add 10 students, which decreases the average by 1. But we still have the same number of apples. Then the new average is A2 =  (300/n+10) We...

# what is the simplest form of 2-x/1-x/2 (answer)

Yessica --- This is a little bit difficult to answer because it isn't entirely clear which terms go together. I will assume that you meant 2 - (x/1) - (x/2), but that may not be correct. If it is, you can combine all three terms by finding a common denominator. It this case, the common denominator...

# find 1x3 matrices x and y such that x+2y=[1 3 -2] and x+y=[2 0 1] (answer)

Set it up and solve it as a system of two linear equations in two variables:          x + 2y  =  [1  3  -2]          x  +  y  =  [2  0   1] ______________________ Multiply the second on through by -1 and add it to the first one:           x  +  2y  =  [1  3  -2]          -x...

# Stevens Market is selling 3 packs of toothpicks for \$0.87. How much will 10 packsof toothpicks cost at this price? Round your answer to the nearest cent. (answer)

Gina's answer is correct. We can also set it up as a ratio:       (Original number of packs)/Original cost of those packs)  =  (New number of packs)/(New cost) In this problem, that would be:            3/0.87  =  10/x     (where x is the cost of 10 packs) Cross-multiplying,...

The best method for solving this is to cross-multiply (which is the same as multiplying both sides by 63 and then dividing).  You will then have:      9(2x - 4)  = 7(x - 1)  or      18x - 36  =  7x - 7 Now subtract 7x from both sides:             18x - 36 = 7x - 7...

With instructions to use exponents, I would do it this way: 2n2(8)3  = 2(23)3 n2 = 2(29) n2 = 210 n2 This is exactly the same as Tamara's answer above, but with an explicit powr of 2.

# write an equation for a quadratic function with a graph that has its vertex ay (-5,7) (answer)

Hello, Oksana --- You can designate the form of the quadratic from the vertex, (h, k). A parabola with vertex (h, k) would have this form:     y - k  =  a(x - h)2  Substituting your numbers, you would have:      y - 7  =  (x + 5)2 It could have an infinite number of...

# 4/3 = x + 1/3 (answer)

Hello, Carolyn -- This is an algebra problem involving fractions. You need to get all of the numbers on one side of the = sign, and the x on the other side. In this problem, all you have to do is subract 1/3 from both sides:        4/3       =    x  +  1/3          -1/3              -...

# log MN=log + log (answer)

Nastassia --- The other answers by Will and Robert are correct. I would just add an example: log 12  =  log 4 + log 3  OR  log 6 + log 2, or even log 9 + log (4/3).  Try those on your caluclator. If you have something like log 3x, it would be log 3 + log x.

# calculate the molecular weight of CO in g/mol. (answer)

You should have a periodic table of the elements in your textbook, or perhaps on the wall of your classroom. It is a chart that displays important information about all of the elements that make up our universe, including a few at the end that scientists have been able to create from other elements...