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galben [10]
3 years ago
6

the ratios of girls to boys in a student basketball league is 5:6. juan says that there must be exactly 11 students in the leagu

e. is juans statement correct
Mathematics
2 answers:
Alex787 [66]3 years ago
8 0

Answer:

False

Step-by-step explanation:

girls : boys : total

5       : 6      :11

Multiply each term by 2

10:      12     :22

Ratio of girls to boys

10:12

Divide by 2

5:6

The ratio of girls to boys is still 5:6  but the total students is 22

zaharov [31]3 years ago
5 0

\bf \cfrac{5x}{6x}\implies \cfrac{5}{6}~~ratio~\hfill \stackrel{x=1}{\cfrac{5\cdot 1}{6\cdot 1}}\implies \cfrac{5}{6} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{x=20}{\cfrac{5\cdot 20}{6\cdot 20}}\implies \cfrac{100}{120}\implies \cfrac{5}{6}~\hfill \stackrel{x=100000}{\cfrac{5\cdot 100000}{6\cdot 100000}}\implies \cfrac{500000}{600000}\implies \cfrac{5}{6}

yes, he's correct, IF our multiplying value of "x" is 1, however, a ratio of 5/6 is also true for 100/120 or 500000/600000, and any other value up to infinity for that matter.

so it could be 11, or it could be much more.

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On a coordinate plane, a line goes through (negative 3, negative 4) and (3, 0).
arsen [322]

Answer:

The slope is Negative three-halves and contains the point (0, 2).

Step-by-step explanation:

(-3,-4)(3,0)

M= -4/-6 = 2/3

⊥M = -3/2

0 = 2/3(3) + B

B=2

5 0
3 years ago
Nathaniel is making muffins. Each batch uses 2 cups of flour. He plans to use less than 40 cups of flour for muffins so that he
MAXImum [283]

The number of batches Nathaniel can make is 16.5 batches.

Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.

Maximum amount of flour Nathaniel can use = 39 - 6 = 33

Number of batches he can make = 33 / 2 = 16.5 batches

To learn more about division, please check: brainly.com/question/194007

8 0
2 years ago
Need help with this question
goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

4 0
3 years ago
Simplify the expression. Show each step. <br><br><br> –5 × 1 × 11 × 4.
netineya [11]
Simplify the following:
-5×1×11×4

-5×1 = -5:
-5×11×4

-5×11 = -55:
-55×4

-55×4 = -220:

Answer:  -220
7 0
3 years ago
Solve the system of linear equations<br><br> x + y = 4 and 2x + 3y = 0
forsale [732]

solve this answer by using substitution. set the first equation to x=-y+4 then substitute -y+4 for x in the second equation.

2(-y+4) + 3y=0

-2y+8 + 3y=0

y+8=0

y=-8

now use -8 and solve for x

x+(-8)=4

x=12

8 0
3 years ago
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