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slavikrds [6]
3 years ago
11

15 out of the 20 students at the lunch table had a sandwich. What percent of the table do those 15 students represent? Put this

in a proportion.
Mathematics
1 answer:
shusha [124]3 years ago
5 0
Hello!! So any time a question says "What percent" you can immediately write down the fraction X/100. The proportion would be 15/20= x/100. Then cross multiply to get the equation 1,500=20x. Divide both sides by 20 and x equals 75! Hope this helps!
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2x + 3y = 5x - y complete the missing value in the solution to the equation
Leto [7]

Answer:

The missing value is(0,0)

Step-by-step explanation:

The complete question is:

2x+3y=5x-y

Complete the missing value in the solution to the equation.

( ,0)

<u>Solution:</u>

We have given:

2x + 3y = 5x - y

Combine the like terms:

2x-5x= -y-3y

-3x = -4y

Both negative signs will be cancelled out by each other.

So we have,

3x = 4y

We have given y = 0

Then

3x = 4*0

3x= 0

Divide both sides by 3

3x/3 = 0/3

x = 0

y=0

Therefore missing value is(0,0)

4 0
3 years ago
Read 2 more answers
Solve the system of linear equations by substitution. y−x=0y−x=0 2x−5y=9
Naddik [55]
There are no solutions to 2x-5y=9 but if you are solving it by y=mx+b form than your answer would look like this: y=2/5x-9/5
6 0
3 years ago
A rectangular pyramid has a height of 8 meters. The base is 7 meters in length and 15 meters in width two different triangular c
vagabundo [1.1K]

Answer:

The difference in the areas of the cross section is 32 m²

Step-by-step explanation:

The given parameters are;

The height of the rectangular pyramid = 8 meters

The length of the base of the pyramid = 7 meters

The width of the base of the pyramid = 15 meters

Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;

The sides of the two triangles consists of the following;

1) Two slant height of the pyramid each

2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters

3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.

the slant height, h_l, is given as follows;

h_l = √(8² + (15/2)²) ≈ 10.966

For the triangular cross section with base = 15 m

The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²

For the triangular cross section with base = 7 m

The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²

The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².

5 0
3 years ago
Please help me am I. troubles​
Zanzabum

Answer:

\frac{ {x}^{2} }{y(x - y)}  +  \frac{ {y}^{2} }{ - x(x - y)}

\frac{ {x}^{2} }{y(x - y)}  -  \frac{ {y}^{2} }{x(x - y)}

\frac{ {x}^{2}  \times x  -  {y}^{2}  \times y}{xy(x -y)}

\frac{(x - y)( {x}^{2}  + xy +  {y}^{2}) }{xy(x - y)}

\frac{ {x}^{2} + xy +  {y}^{2}  }{xy}

7 0
2 years ago
John is saving $6 a week. He has already saved $28. How many weeks will it take John to reach his goal of $100?
Irina18 [472]

Answer:

12 weeks

Step-by-step explanation:

If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72

In one week → $6

2 weeks → $12

3 weeks → $18

and so on..

\frac{72}{6} = 12

John will need 12 more weeks to save a total of $100.

5 0
3 years ago
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