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3 years ago

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The number of yellow fish at the aquarium is 5 fewer than 3 times the number of blue fish. The table shows how the number of yel

low fish, y, depends on the number of blue fish, b. Choose the equation which represents the rule.

2 answers:

Svetradugi [14.3K]3 years ago

6 0

Answer:

If you are on USATestPrep (which you most likely are) the correct answer is C.

Step-by-step explanation:

C) y = 3b − 5

It is “5 fewer than 3 times”

Zinaida [17]3 years ago

4 0

Answer:

y = 3b-5

Step-by-step explanation:

The number of yellow fish is 5 fewer than 3 times the number of blue fish. Using b to represent the number of blue fish, 3 times this is 3b; 5 fewer than this is 3b-5. This gives us the equation

y = 3b-5

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If 265 identical boxes, each containing 24 books, weighs a total of 12,720 pound, how much does each book weigh?

Margarita [4]

12,720/265 = 48

48/24 = 2

2 pounds each

7 0

3 years ago

The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

<u> $\longrightarrow$ </u><u> </u><u>Finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular</u><u> </u><u>garden</u> :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ <u>Substituting </u><u>/</u><u> </u><u>Replacing </u><u>the </u><u>value </u><u>of </u><u>w </u><u>in </u><u>6</u><u> </u><u>+</u><u> </u><u>w </u><u>in </u><u>order </u><u>to </u><u>find</u><u> </u><u>the</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular </u><u>garden</u>

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ <u>Finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular</u><u> </u><u>garden</u><u> </u><u>having</u> <u>length of 11 feet and</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>5</u><u> </u><u>feet</u> :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

Use the eqation to solve for how many miles "m" the person rode their bike after "t" time.

Svetllana [295]

Answer:

no

Step-by-step explanation:

maybe some time else so see ya laters

5 0

2 years ago

There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Cla

asambeis [7]

Answer:

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?

There are 5 freshman non-Statistics majors out of 102 students.

Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So

$p = \frac{5}{102}*\frac{18}{101} = \frac{5*18}{102*101} = 0.0087$

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

8 0

3 years ago

A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit

valina [46]

Hello!

You first find out how many objects there are in total

4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!

3 0

3 years ago