Answer:
a=5, s=3
Step-by-step explanation:
a=adult s=student
then write 2 equations to represent the amount of people and money
a+s=8
7.25a+5.5s=52.75
• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
{a+s=8, 7.25a+5.5s=52.75}
• Choose one of the equations and solve it for a by isolating a on the left hand side of the equal sign.
a+s=8
• Subtract s from both sides of the equation.
a=−s+8
• Substitute −s+8 for a in the other equation, 7.25a+5.5s=52.75.
7.25(−s+8)+5.5s=52.75
• Multiply 7.25 times −s+8.
−7.25s+58+5.5s=52.75
• Add −29s/4 to 11s/2.
−1.75s+58=52.75
• Subtract 58 from both sides of the equation.
−1.75s=−5.25
• Divide both sides of the equation by −1.75, which is the same as multiplying both sides by the reciprocal of the fraction.
s=3
• Substitute 3 for s in a=−s+8. Because the resulting equation contains only one variable, you can solve for a directly.
a=−3+8
• Add 8 to −3.
a=5
Answer:
75
Step-by-step explanation:
lok at the image for explanation, you just need to expand the table
Answer:
(4, -3)
Step-by-step explanation:
The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."
Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...
(x, y) = (4, -3)
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You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.
3(5x +4y) +4(2x -3y) = 3(8) +4(17)
23x = 92 . . . . . simplify
x = 4 . . . . . . . . divide by 23
Substituting this value into the first equation, we have ...
5(4) +4y = 8
5 +y = 2 . . . . . . divide by 4
y = -3 . . . . . . . . subtract 5
The solution is (x, y) = (4, -3).
Answer:
(i) 14 groups
(in) 15 boys per group and 16 girls per group
Step-by-step explanation:
(i) After the withdrawal of the 4 boys and 6 girls, there are 210 boys and 224 girls left. To find the greatest number of groups that can be formed with an equal number of boys in each group and an equal number of girls in each group, you need to find the GCF (Greatest Common Factor) of 210 and 224. Since 210 is 2 * 3 * 5 * 7 and 224 is 2^5 * 7 the GCF of these two numbers is what they have in common which is 2 * 7 which is <u>14</u>. Thus, 14 is the greatest number of groups that can be formed.
(in) When 14 groups are formed, there are 210/14 boys in each group and 224/14 girls in each group. That results in <u>15</u> boys per group and <u>16</u> girls per group.
Hope this helps :)
Do you mean this:
√
That is a square root sign. It's the opposite of squaring a number