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aliina [53]
3 years ago
6

A man bought a dozen boxes with 24 highlighter pens inside for $8 each box. He repacked five of those boxes into packages of 6 h

ighlighters each and sold them for $3 per package. He sold the rest of the highlighters separately at the rate of 3 pens for $2. How much profit did he make?
Mathematics
2 answers:
guapka [62]3 years ago
5 0
He made 72 dollars of profit
svetoff [14.1K]3 years ago
4 0
He made $72

Hope this helps! :)
You might be interested in
What is the percent for 10.44?
e-lub [12.9K]
10.44 = 1044/1000 = 104.4%
7 0
3 years ago
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
8. Given: PQR and TSR are right triangles,
rewona [7]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement                      Reason

∠PQR = ∠RST                Given. ∠PQR = ∠RST = 90° (definition for right

                                       angle triangle.

PQ = ST                          Given

PR ≅  RT                         Since R is the midpoint of PT, hence PR = RT

ΔPQR ≅ ΔTSR                Side-angle-side triangle congruence theorem.

                                       the Side-angle-side triangle congruence theorem

                                       states that if two sides and an included angle of

                                       one triangle is equal to two sides and an included

                                       angle of another triangle, then the two triangles

                                       are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR

3 0
2 years ago
In AKLM, m = 1.2 cm, k = 5.1 cm and
Elodia [21]

Answer:

  4.2 cm

Step-by-step explanation:

The law of cosines is applicable.

  l² = k² +m² -2km·cos(L)

  l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236

  l ≈ √17.4236

  l ≈ 4.2 . . . cm

4 0
3 years ago
Do this and I’ll pay u I need help
frutty [35]

Answer:

69

"bring me my money"

Step-by-step explanation:

8 0
3 years ago
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