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solniwko [45]
3 years ago
5

Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. Kristen then takes the train to work, and

it takes another 1/2 hour for her to get to work when the train travels 28 mph. How far does Kristen travel to work
Mathematics
2 answers:
NikAS [45]3 years ago
6 0

Answer: 38 mph

Step-by-step explanation:

Add. 10 plis 28 is 38.

vova2212 [387]3 years ago
4 0

Answer: 19 miles

Step-by-step explanation:

Distance = speed × time

Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. This means that the distance covered on her way to the train station is

0.5 × 10 = 5 miles

Kristen then takes the train to work, and it takes another 1/2 hour for her to get to work when the train travels 28 mph. Distance covered by the train is

0.5 × 28 = 14 miles

Therefore, the distance that Kristen travels to work is

14 + 5 = 19 miles

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4x(2x-1)

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8x^2-4x

Factor out the common term 4x:

4x(2x-1)

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Write the number for forty-one million five thousand.
ivanzaharov [21]

Answer:

41,005,000

Step-by-step explanation:

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6 0
3 years ago
you are taking a test worth 130 points. There are a total of 50 five-point and two-point questions. How many five-point question
REY [17]

Answer:

10 five-point questions and 40 two-point questions

Step-by-step explanation:

Let x represent the total number of five-point questions and y represent the total number of two-point questions.

Equation 1:     5x+2y=130

Equation 2:     x+y=50

Multiplying Equation 2 by 2:     2x+2y=100     (Equation 3)

(Equation 1) - (Equation 3):     3x=30

                                                  x=10

Substituting x=10 into x+y=50:     10+y=50

                                                            y=40

Therefore, there are 10 five-point questions and 40 two-point questions.


<h2><u>Check</u></h2>

Substituting x=10 and y=40 into Equation 1:

LHS=5x+2y=5(10)+2(40)=50+80=130

RHS=130

LHS=RHS

Substituting x=10 and y=40 into Equation 2:

LHS=x+y=10+40=50

RHS=50

LHS=RHS

Since in both cases the left-hand side is equal to the right-hand side, the answer is correct.

(LHS: left-hand side, RHS: right-hand side)

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3 years ago
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yuradex [85]

Answer:

An equation is 92 + 2x = 180.

The congruent angles each measure 44°.

Step-by-step explanation:

1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.

2. To find the measure of each congruent angle, x, we have to solve the equation above.

Step 1: Simplify both sides of the equation.

  • 2x + 92 = 180

Step 2: Subtract 92 from both sides.

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Step 3: Divide both sides by 2.

  • \frac{2x}{2} = \frac{88}{2}
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x = 44 means that the congruent angles each measure 44°.

6 0
2 years ago
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