What is b-4z/7=a in algebraic form?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

8 0

(b - 4z)/7 = a
b - 4z = 7a
b = 7a + 4z

Answer: b = 7a + 4z

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(a + b - c )(a + b + c )

denis-greek [22]

Answer:

$a^2+b^2-c^2+2ab$

Step-by-step explanation:

$(a+b-c)(a+b+c)=a^2+ab+ac+ab+b^2+bc-ac-bc-c^2=a^2+b^2-c^2+2ab$

Hope this helps!

5 0

3 years ago

Read 2 more answers

for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac

zloy xaker [14]

Total tickets sold = 800
Total revenue = $3775

Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.

Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens

Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.

6 0

4 years ago

Please help! Find the value of X. Round to the nearest tenth. acellus

just olya [345]

9514 1404 393

Answer:

38.2°

Step-by-step explanation:

The law of sines tells you ...

sin(x)/15 = sin(27°)/11

sin(x) = (15/11)sin(27°) . . . . . multiply by 15

x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

x ≈ 38.2°

_____

<em>Additional comment</em>

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.