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goldfiish [28.3K]
1 year ago
11

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Mathematics
2 answers:
dezoksy [38]1 year ago
8 0
The answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!
denis-greek [22]1 year ago
3 0

the answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!

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Particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minut
Gala2k [10]
We know that

[length of a circumference ]=2*pi*r
for r=3 ft

[length of a circumference ]=2*pi*3-----------> 18.84 ft

<span>The angular velocity of the particle is 18 radians per minute.

if 2pi radians  (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute

the answer is
54 ft/min
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1 year ago
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The triangles shown below must be congruent.
leonid [27]
These triangles are congruent by AAS condition hence the statement is true
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1 year ago
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A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri
NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

\angle BAC=40

From the given figure it is clear that

\angle ABC+2h=180               (Supplementary angle)

\angle ABC=180-2h

\angle ACB+2h=180               (Supplementary angle)

\angle ACB=180-2h

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

\angle ABC+\angle ACB+\angle BAC=180

(180-2h)+(180-2h)+40=180

Combine like terms.

(180+180+40)+(-2h-2h)=180

400-4h=180

-4h=180-400

-4h=-220

Divide both sides by -4.

h=\frac{-220}{-4}

h=55

The value of h is 55.

Therefore, the correct option is 3.

8 0
2 years ago
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For the level 3 course, exam hours cost twice as much as workshop hours, workshop hours cost twice as much as lecture hours. How
natulia [17]
<h2>Answer</h2>

Cost of lectures = $7.33 per hour

<h2>Explanation</h2>

Let e the cost of the exam hours

Let w be the cost of the workshop hours

Let l be the cost of the lecture hours.

We know from our problem that exam hours cost twice as much as workshop, so:

e=2w equation (1)

We also know that workshop hours cost twice as much as lecture hours, so:

w=2l equation (2)

Finally, we also know that 3hr exams 24hr workshops  and 12hr lectures cost $528, so:

3e+24w+12l=528 equation (1)

Now, lets find the value of l:

Step 1.  Solve for l in equation (3)

3e+24w+12l=528

12l=528-3e-24w equation (4)

Step 2. Replace equation (1) in equation (4) and simplify

12l=528-3e-24w

12l=528-3(2w)-24w

12l=528-6w-24w

12l=528-30w equation (5)

Step 3. Replace equation (2) in equation (5) and solve for l

12l=528-30w

12l=528-30(2l)

12l=528-60l

72l=528

l=\frac{528}{72}

l=\frac{22}{3}

l=7.33

Cost of lectures  = $7.33 per hour



3 0
1 year ago
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the chorus has 35 members. which expression represents the number of ways a group of 6 members can be chosen to do a special per
zimovet [89]
You have to choose 6 members from the group of 35 people. So there are \binom{35}{6} ways to do it.
3 0
2 years ago
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