Simplify and solve this equation for q: 3q + 5 + 2q

Which equation can be used to solve for b? B 5 cm 10 cm 30°

kati45 [8]

The Question is Incomplete The complete question with figure is below.

Answer:

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

BC = 5 cm

AB = 10 cm

∠A = 30°

To Find:

b = ?

Solution:

In Right Angle Triangle ABC Tangent identity we have

$\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

Substituting the values we get

$\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}$

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

6 0

3 years ago

If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars?

alukav5142 [94]

Answer:

2/9 boxes.

Step-by-step explanation:

6 / 1 / 3 = 4 / b

Cross multiply the two

6b = 4/3

Multiply 1/6 on each side

B = 4 /18

It can be reduced to 2/9.

Feel free to let me know if you need more help! :)

5 0

3 years ago

Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Dahasolnce [82]

Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept.

The complete Question:

Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.

a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Answer:

Part a)

An expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

Part b)

Keenan could not have started with 6 strawberries

Step-by-step explanation:

Part a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

Let $k$ be the total number of strawberries which Keenan has.

So,

$\frac{k}{2}$ is the number of strawberries Keenan gave to Tisha.

As Tisha keeps 4 strawberries and gives the rest to Suvi. Let $n$ be the number of strawberries which Suvi has.

So,

$n=\frac{k}{2} -4$

$\frac{k}{2}=n+4$

$k=2n+8$

Therefore, an expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Considering the expression for the number of strawberries Tisha gives to Suvi

$n=\frac{k}{2} -4$

Putting $k = 6$ in the expression

$n=\frac{6}{2} -4$

Solving the expression

$n=3-4$ ∵ $\mathrm{Divide\:the\:numbers:}\:\frac{6}{2}=3$

$\mathrm{Subtract\:the\:numbers:}\:3-4=-1$

$n=-1$

So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.

Therefore, Keenan could not have started with 6 strawberries.

Keywords: word problem, expression

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3 0

3 years ago

A package of 3 pairs of insulated socks costs $18.87. What is the unit price of the pairs of socks?

Delicious77 [7]

Answer:

$6.29

Step-by-step explanation:

18.87 divided by 3 is $6.29

3 0

3 years ago

Read 2 more answers

A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rec

GaryK [48]

9514 1404 393

Answer:

length 5 cm
width 3 cm

Step-by-step explanation:

Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.

3 0

3 years ago

Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.