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butalik [34]
3 years ago
7

Janelle and Swetha are taking a 50 question test. Janelle started after Swetha had already finished 12 questions. Janelle answer

s questions at a rate of two per minute while Swetha answers at a rate of 5 questions per 4 mins. Janelle eventually catches up to Swetha. How many minutes does it take her and what question are they on when Janelle catches up? Make 2 equations in slope intercept form (y=mx+b) for Janelle and Swetha to solve.
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0
Begin by finding the two equations like this:
Janelle equation: x=2t.
Swetha equation:y=\frac{5}{4}+12t since y = 12 when the time t = 0. 
In order to find how many time it takes to Janelle in order to catches 
up solve the equation: \frac{5}{4}t+12=2t
Solving the above equation for t we get: t=16
So she catches up after 16 minutes. 
Compute like this: 2\times16=32
They were on question 32 then. 
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What is the measure of one of the base angles of your saucily triangle if the measure of the vertex angle is 98°
wlad13 [49]

Step 1

An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length.

Step 2

Since the sides of an isosceles triangle are equal it follows that the base angles are equal too. The vertex angle = 98°. The sum of angles in a triangle is 180°.

Therefore, if the base angles are both x,

98^{\circ}+x+x=180^{\circ}(sum\text{ of angles in a triangle)}\begin{gathered} 98+2x=180 \\ 2x=180-98 \\ 2x=82 \\ \frac{2x}{2}=\frac{82}{2} \\ x=41^{\circ} \end{gathered}

Therefore,

\text{one base angles=41}^{\circ}

4 0
1 year ago
The radius of a circle is 3 what is the circumference?
Alika [10]

Answer:

6π

Step-by-step explanation:

You have to use the formula for the circumference of a circe:

Circumference = π(diameter)

However, you do not have the diameter, you have the radius.

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Diameter = 3 * 2

D = 6

Now you can substitute this value back into the Circumference formula:

C = πd

C = 6π

4 0
4 years ago
Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in
OverLord2011 [107]

Let area to be painted = X m²

Rate for Allen = X / 16 m² / h

Rate for Brianne = X / 18 m² / h


Combined rate

X/16 + X/18 m² / h

[ 18X + 16X ] / 144 m² / h

34 X / 144 m² / h


time = X / [ 34 X / 144 ] h

time = 144 / 34 h

time = 4 h 14 min


5 0
3 years ago
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Mnenie [13.5K]

Answer:

multiply all of it

Step-by-step explanation:

11.3 x 6 x 8 x 8

10.3 x 13 x 9 x 5

=

26145849.6

Reduce

8 0
3 years ago
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storchak [24]
252 divided by 12 is 21
The answer to your question is 21
3 0
4 years ago
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