Mark buys a wooden board that is 9 3/4 feet long. The cost of the board is 0.60 per foot including tax. What is the total cost, in dollars of marks board

Answers

Answer 1

Answer:

Answer:$5.85

Step-by-step explanation: Since the board is 9 feet and 9 inches the first thing you need to do is .6 x 9.75. This is because 3/4 is equal to 75% plus the 9 feet.

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A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is $25. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $10. Find the cost for each pound of walnuts and each pound of chocolate chips.
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How can you solve -2y+5y=14

What is the value of b2 - 4ac for the following equation? x^2 + 5x + 4 = 0

Answers

a=1
b=5
c=4 so b^2-4ac=(5)^2-4(1)(4)=25-16=9

I need to write an equation for:

ten times the sum of half a number and 6 is 8

Answers

Let's start with the easy part of this equation. We know it will end with = 8 because of the the phrase "is 8". Now let's work backwards, starting with the sum of half a number and 6. In this example, we will represent "a number" with x. To take half a number is to divide it by 2, so half a number would be x/2. The phrasing "the sum of" indicates addition, therefore the sum of half a number and 6 would be represented by x/2+6. Now for the the first part of the equation, ten times. This phrasing indicates multiplication, and so we will multiply 10 by the remainder of the equation, This gives us the answer of 10(x/2+6). Now all you have to do is add the equals sign and answer to make this expression and equation, and you get 10(x/2 + 6) =8

Solve for "z"
6=z/5.9

Answers

$6=(z)/(5.9) \ \ / *5.9 \n \n5.9\cdot 6=(z)/(\not5.9^1) \cdot \not5.9^1 \n \n35.4 = z$

Hello there!

$6=(z)/(5.9) \n$

Multiply both sides by 5.9 to get rid of the denominator:

35.4=z

And that's our final answer.Hope that helps you!

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If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answers

Answer:

The answer would be 20cm.

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign? 4x + 5 4x – 5 8x + 5 8x – 5

Answers

The pet shop sign is modelled as a square. The area of the square is given as $16x^(2)-40x+25$ .

Technically we want to take a square root of this expression to find the length of one side of the square but we will check first whether factorising will give us equal roots

$16x^(2)-40x+25$
$16 x^(2) -20x-20x+25$
$4x(4x-5)-5(4x-5)$
$(4x-5)(4x-5)$

As we see that by factorising gives us $(4x-5)^(2)$ hence the side length of the square is $4x-5$

correct answer is

B)4x – 5

2700=2300(1+r)^5 solve for r Please show all work

Answers

$2700=2300(1+r)^5\ /:2300\n\n(1+r)^5= (27)/(23) \ \ \ \Rightarrow\ \ \ 1+r= \sqrt[5]{ (27)/(23)} \ \ \ \Rightarrow\ \ \ r= \sqrt[5]{ (27)/(23)} -1\n\n r= \sqrt[5]{ (27\cdot23^4)/(23^5)}-1= \frac{ \sqrt[5]{ 27\cdot23^4} }{23} -1= \frac{ \sqrt[5]{7555707} }{23} -1$

$2700=2300(1+r)^5\n \n (1+r)^5=(2700)/(2300)\n \n (1+r)^5=(27)/(23)\n \n \sqrt[5]{(1+r)^5}= \sqrt[5]{(27)/(23)}\n \n 1+r= 1.032\n \n r=1.032-1\n \n \boxed{r=0.032}$

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