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3 years ago

Double a number and subtract nine. algebraic expression

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

2y - 9

Step-by-step explanation:

number = y

2 × y - 9

2 × y can be simplified to 2y.

2y - 9

You might be interested in

2x-2=2(2x-11) solve for x

Mkey [24]

Instead of distributing 2, we can actually divide both sides by 2:

x - 1 = 2x - 11

Isolate x:

x = 10

7 0

3 years ago

Read 2 more answers

Find a. Round to the nearest tenth.

Kazeer [188]

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

6 0

3 years ago

6 Luiz, Seth and Fran share £1440 in the ratio 3:5:7. Fran splits her share with her sister Ali in the ratio 4:1.

dalvyx [7]

Answer:

A) £1440 in the ratio of 3:5:7 is - £288: £480: £672

After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40

B) Fran to Seth = £537.60: £480 → £28: £25

Step-by-step explanation:

To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15

Then you divide £1440 by 15 which is = £96

Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672

To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5

Then divide Fran’s share, £672, by 5= £134.40

£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60

F: A = £537.60: £134.40

As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:

£537.60: £480

But we need to simplify them. So we need to change the values to whole number.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376

Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.

We need to divide both terms by the HCF:

4800 ÷ 192= 25

5376 ÷ 192= 28

5 0

3 years ago

Read 2 more answers

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph. At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the sa

NNADVOKAT [17]

Answer: They meet after 1 hour 42 minutes.

Step-by-step explanation:

Since we have given that

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph.

Let the time taken by Dana be 't'.

Distance traveled by Dana would be 55t.

At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the same route.

It means after 2 hours Lance leave for LA.

So, time taken by Lance be 't-2'.

Distance traveled by Lance would be 45(t-2)

Total distance = 260 miles

According to question, it becomes,

$55t+45(t-2)=260\\\\55t+45t-90=260\\\\100t=260-90\\\\100t=170\\\\t=1.7\ hours=1\dfrac{7}{10}=1\ hour\ and\ \dfrac{7\times 60}{10}\ minutes=1\ hour\ 42\ minutes$

Hence, they meet after 1 hour 42 minutes.

4 0

3 years ago

Pls help cause I have a small brain lol

Varvara68 [4.7K]

4m + 2 > 68, is the correct answer.

it states that the owner of the restaurant wants to have seating for more than 68 people, which converts to " > 48 ". it also says a private chef's table seats 2 people, which converts to " + 2 ". finally, it says the owner plans to buy m tables that each seat 4 people, which converts to " 4m " because they are multiplying the number of tables, m, times each 4 people are seated. thus, 4m + 2 > 68 is the final answer.

8 0

3 years ago