Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3/4 inches. The second length is 12 1/4 inches. And the third length is 16 1/4 inches. How much of the original board remains after Katrina makes her cuts?

Answers

Answer 1

Answer: first add them together
30 and 3/4+12 and 1/4+ 16 and 1/4=30+3/4+12+1/4+16+1/4 =30+12+16+3/4+1/4+1/4=58+1+1/4=59+1/4=59 and 1/4
subtract from 72
72-59 and 1/4=72-(59+1/4)=72-59-1/4=71+1-59-1/4= 71-59+1-1/4= 71-59+4/4-1/4=12+3/4

the legnth left is 12 and 3/4 inches

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The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny.

Answers

Answer:

The cost a pizza with 5 toppings is $22.75

Step-by-step explanation:

Consider the provided statement.

It is given that A large pizza with no toppings costs $14.00.

A large pizza with 2 toppings costs $17.50.

We can translate the problem and given into data points: (0, 14) and (2,17.50)

Where x coordinates represents the toppings and y is the cost.

Now the use the point-slope form: $y - y_1 = (y_2-y_1)/(x_2-x_1) (x-x_1)$

Substitute the respective values.

$y - 14 = (17.50-14)/(2-0) (x-0)$

$y - 14 = 1.75 (x)$

$y= 1.75x+14$

Hence, the required equation is $y= 1.75x+14$

Now find the cost of pizza with 5 toppings by substituting x=5 in above equation.

$y= 1.75(5)+14$

$y= 8.75+14$

$y= 22.75$

Hence, the cost a pizza with 5 toppings is $22.75

First find how much one topping is: subtract the L price from the L2T price: 17.50-14=3.50. Divide by 2: 3.50/2=1.75. Multiply by 5: 1.75•5=8.75. Add the topping cost to the L pizza cost: 8.75+14=22.75. $22.75 :)

Nell's mortgage is $50,150 at 10 percent for 30 years. What is her monthly payment if she must pay $8.78 points per $1,000?a) $440.32
b) $439
c) $442.95
d) $385.89

Answers

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

$\text{EMI on }\$1=(8.78)/(1000)=0.00878$

EMI on $50150 is

$\text{EMI on }\$50150=0.00878* 50150=440.317\approx 440.32$

Therefore the correct option is a.

The right answer for the question that is being asked and shown above is that: "d) $385.89." Nell's mortgage is $50,150 at 10 percent for 30 years. Her monthly payment if she must pay $8.78 points per $1,000 is that of d) $385.89

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.What is the constant of variation?

Answers

Let y represent the number of square yards
Let x the number of square feet.
Then y varies directly with x.

y = kx
where k is the constant of variation.
y = 3 yards^2
x = 27 feet^2

3 = k(27)
k = 3/27
k = 1 yard^2 /9 feet^2

So the constant of variation is 1 yard^2 /9 feet^2.

Answer:

constant of variation is 1/9 and equation is y=1/9x

Step-by-step explanation:

3/27 = 1/9

a vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $152.80 with a sale of 328 items. how many packages of chips were purchased last month

Answers

112 bags of chips

The solution to the system of equations gives 112 chips and 216 candy.
The equations to solve are

x + y = 328
.40x + .50 y = 152.80

(x = the number of chips and y = the number of candy)

x = 40 cents bags, y = 50 cent bags

x + y = 328...x = 328 - y
0.40x + 0.50y = 152.80

0.40(328 - y) + 0.50y = 152.80
131.20 - 0.40y + 0.50y = 152.80
-0.40y + 0.50y = 152.80 - 131.20
0.10y = 21.60
y = 21.60/0.10
y = 216 <=== total 50 cents bags sold

x + y = 328
x + 216 = 328
x = 328 - 216
x = 112 <=== total 40 cents bags sold

12x + k = c solve for x Explain how to do it please

Answers

Answer: x=(c-k)/12

Step-by-step explanation:

So you're trying to find x, and in order to do that, you need x by itself. First, move k to the right side by subtracting k from both sides to get 12x=c-k. After that, you divide 12 for both sides to get x=(c-k)/12. It looks like this: $(c-k)/(12)$

x=c-k/12
ndjdksk sorry i needed more characters

uses long wavelength energy in the electromagnetic spectrum to reflect waves to a receiver and form images from space

Answers

Step-by-step explanation:

Since the last reflecting off glass

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