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2 years ago

4x + 3y = 16

Mathematics

2 answers:

GalinKa [24]2 years ago

6 0

Answer:A

Step-by-step explanation:

ArbitrLikvidat [17]2 years ago

3 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 ( multiply both sides by - 1 )

x = 1

Substitute x = 1 into either (1) or (2)

Substituting in (1), then

(4 × 1) + 3y = 16

4 + 3y = 16 ( subtract 4 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (1, 4 ) → A

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Write a compound inequality that represents the following scenario:

Inessa05 [86]

The compound inequality that represents the two following scenarios are:

65 < f ≤ 4
8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

a free single scoop cone = f

The age group of individuals designated to receive the free single scoop cones is:

people who are older than 65 i.e. > 65
children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

65 < f ≤ 4

On Tuesdays, the least amount of flavors = 8
The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus, the compound inequality that is appropriate to express both conditions is:

Least amount of flavors ≤ f ≤ total amount of flavors
8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

65 < f ≤ 4
8 ≤ f ≤ 12

Learn more about compound inequality here:

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6 0

1 year ago

What’s the correct answer for this question?

____ [38]

Answer:

Step-by-step explanation:

Slope Formula is used from 2-5

Which is

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3 0

2 years ago

1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?

WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0

3 years ago

CAN SOMEONE HELP ME ON MY WORK PLEASE :( it’s on exponential functions

strojnjashka [21]

Answer:

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Step-by-step explanation:

7 0

2 years ago

What is the length of the hypotenuse of the triangle?

atroni [7]

Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

$h = \sqrt{ {p}^{2} + {b}^{2} }$

Put all values.

$h = \sqrt{ {24}^{2} + {10}^{2} }$

Simplify it.

$h = \sqrt{576 + 100}$

$h = \sqrt{676}$

Therefore, h= 26ft.

ANS: OPTION A.

Hope it helps....

3 0

2 years ago

Read 2 more answers