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soldi70 [24.7K]
3 years ago
12

A prism _____has two congruent, parallel bases. A Sometimes B never C always

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

A prism Always has two congruent, parallel bases.

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Which problem can be shown using the equation 2x8=16
Alika [10]

Answer: The second one, “A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit

4 0
3 years ago
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
What is the mean salary of a salesperson at the company
Whitepunk [10]
<span>a fixed regular payment, typically paid on a monthly or biweekly basis but often expressed as an annual sum, made by an employer to an employee, especially a professional or white-collar worker.</span>
7 0
3 years ago
This is for a school project!!!
slamgirl [31]

Answer:

one direction ♥

Step-by-step explanation:

I love their songs especially steal my girl

8 0
2 years ago
Read 2 more answers
1. Type your answer below. 2. Type your answer below (no spaces! for example x=19) 3. Type your answer below (no spaces! for exa
Nookie1986 [14]

Answer:

1) 12

2) c=-25

3) x = -16 2/3

Step-by-step explanation:

1) ..........................

  • 6*(4-10+8) =
  • 6*(- 6+8) =
  • 6*2=
  • 12

2) ..........................

  • 34 + 2c = -16
  • 2c = - 16 -34
  • 2c = -50
  • c = -50/2
  • c=-25

3) ..........................

  • 40 = -3x - 10
  • 40+ 10 = -3x
  • -3x = 50
  • x = 50/-3
  • x=-16 2/3
3 0
3 years ago
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