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Anestetic [448]
3 years ago
6

Ben scores 56 out of 79 what is his percentage to the nearest decimal spac

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
89.7% us what I found
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PLEASE HELP ME ON THESE PROBLEMS, ITS URGENT! (Help for any of these would be greatly appreciated!)
Anvisha [2.4K]
1.) We can solve the problem by developing a linear model.
Let x represent the quantity to be used of the grade of coffee that sells for $70 per pound, and y represent the quantity to be used of the grade of coffee that sells for $80 per pound, then
\left\begin{array}{c}x+y=80 . . . (1)\\70x+80y=76(80) . . . (2)\end{array}\right  \\   \\ \Rightarrow  \left\begin{array}{c}80x+80y=6400 . . . (3)\\70x+80y=6080 . . . (4)\end{array}\right  \\  \\ \Rightarrow10x=320 \\  \\ \Rightarrow x=32 \\  \\ \Rightarrow y=80-32=48
Therefore, 32 pounds of the grade of coffee that sells for $70 per pound, and 48 pounds of the grade of coffee that sells for $80 per pound should be used.


2.) Volume of alcohol in the original mixture
\frac{35}{100} \times 40=14 quarts

Let x be the number of quarts of alcohol to be added, then
Volume of alcohol in the new mixture
\frac{48}{100} \times (40+x)=14+x \\  \\ \Rightarrow19.2+0.48x=14+x \\  \\ \Rightarrow0.52x=5.2 \\  \\ \Rightarrow x=10

Therefore, 10 quarts of pure alcohol should be added


3.) Original proportion of white paint in the mixture
=\frac{5}{5+11}=\frac{5}{16}

Let x be the number of gallons of white paint to be added, then
\frac{5+x}{16+x}=\frac{2}{3} \\  \\ \Rightarrow3(5+x)=2(16+x) \\  \\ \Rightarrow15+3x=32+2x \\  \\ \Rightarrow x=32-15=17
Therefore, 17 gallons of white paint should be added.


4a.) Let the three consecutive odd integers be x - 2, x and x + 2, then
x - 2 + x + x + 2 = 25 \\  \\ \Rightarrow3x=25\Rightarrow x=8.33
which is not an integer.
Hence, the sum of three consecutive odd integers cannot be 25.

4b.) Let the three consecutive odd integers be x - 2, x and x + 2, then
x - 2 + x + x + 2 = 45 \\ \\ \Rightarrow3x=45\Rightarrow x=15
Thus, the three consecutive odd intergers whose sum is 45 are 13, 15 and 17.


5.) If all pipes are open and the tank was initially empty, let t be the time it will take to fill the tank, then
\frac{1}{t} = \frac{1}{9} + \frac{1}{12} - \frac{1}{15} = \frac{20+15-12}{180} = \frac{23}{180} \\  \\ \Rightarrow t= \frac{180}{23} =7.83
Therefore, it will take 7.83 hours to get the tank filled up.
3 0
3 years ago
Which point is 12 units less than point Q?
nadezda [96]

Answer:

Point R

Step-by-step explanation:

Go back 12 points

4 0
3 years ago
Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and area of the rug? (
Alenkinab [10]

Answer:

Width = 20\ in

Area = 400\ in^2

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

Height = 31\ in + 9\ in

Height = 40\ in

The width which is half the height is:

Width = \frac{1}{2} * Height

Width = \frac{1}{2} * 40\ in

Width = 20\ in

The area is:

Area = \frac{Height * Width}{2}

Area = \frac{40\ in * 20\ in}{2}

Area = 40\ in * 10\ in

Area = 400\ in^2

5 0
3 years ago
Finding the surface area
Serga [27]

Answer: so you do length times width times height and then you divide by two

Step-by-step explanation:

7 0
2 years ago
Please help me asap​
schepotkina [342]
3.) A *the first one*
4.) C *the last one*
6 0
2 years ago
Read 2 more answers
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