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3 years ago

the ratio of boys to boys to girls in a class is 5:3.There are 32 students in the class.How many more boys than girls are there.

Mathematics

1 answer:

erastovalidia [21]3 years ago

6 0

Answer:

8 more boys

Step-by-step explanation:

5 + 3 = 8

32 ÷ 8 = 4

5 × 4 = 20

3 × 4 = 12

20 - 12 = 8

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Easy question.<br><br> Solve the inequality -5x<40

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$\huge\text{Hey there!}$

$\mathsf{-5x < 40}$

$\large\text{DIVIDE -5 to BOTH SIDES}$

$\mathsf{\dfrac{-5x}{-5}$

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$\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}$

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$\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf > \large\textsf{\bf -8}}}\huge\checkmark$

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$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

3 years ago

Are these ratios equivalent?

krek1111 [17]

Answer:

Yes

Step-by-step explanation:

If you multiple 1/3 by 3/3 you would get 3/18

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3 years ago

The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$