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n200080 [17]
2 years ago
5

-38 + 6x = 52 + 3x = ?

Mathematics
2 answers:
kirill115 [55]2 years ago
7 0

X=30 the answer is 30

Digiron [165]2 years ago
4 0

Answer:

x = 30

Step-by-step explanation:

-38 + 6x = 52 + 3x

+38           +38

-----------------------------

6x  = 90 + 3x

-3x         -3x

------------------------------

3x = 90

/3     /3

-------------------------------

x = 30

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A turtle and a rabbit engage in a footrace over a distance of 4.00 km. The rabbit runs 0.500 km and then stops for a 90.0-min na
Oxana [17]

Answer:

(a) 2.29 km/h

(b) 9 km/h

Step-by-step explanation:

For part (a) you have to apply<em> the average speed formula</em>, which is defined by:

v=\frac{d}{t}

where d is the total distance traveled and t is the total time needed.

d=\frac{4.00}{1.75}=2.29 km/h

For part (b) you have to calculate the running time (T) , which is the total time of the race minus the nap time:

The nap time in hours is:

90/60 = 1.5 h (because there are 60 minutes in one hour)

The running time is:

T= 1.75 - 1.5 = 0.25 h

Let t1 represent the time before the nap and t2 the time after the nap:

t1+t2 = T

t1+t2 = 0.25

You have to apply the formula d=vt before and after the nap:

-Before the nap, the distance traveled was 0.50 km

0.50 = v1t1

-Afer the nap, the distance traveled was 3.50 km

3.50=v2t2

But v2=2v1 (because after the nap the rabbit runs twice as fast)

You have to solve the system of equations:

t1=0.25-t2 (I)

v1t1=0.50 (II)

2v1t2=3.50 (III)

Replacing (I) in (II)

v1(0.25-t2)=0.50

Applying distributive property and solving:

0.25v1-v1t2=.050

For (III) you have that v1t2=3.50/2=1.75. Hence:

0.25v1-1.75=0.50

Solving for v1:

v1 = 9 km/h

7 0
2 years ago
3
emmainna [20.7K]

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

6 0
3 years ago
16. Michael is having surgery on his ankle. The total cost of the procedure is $1,000 Michaels insurance requires he pay
raketka [301]

Answer:

the answer is 800

Step-by-step explanation:

1,000 x 0.8 = 800

7 0
3 years ago
What graph represents −3x+1≤10
nalin [4]

The solution of the inequality is x ≥ -3 and the graph is shown below

<h3>Graph of inequalities </h3>

From the question, we are to determine the graph that represents the given inequality

The given inequality is

−3x + 1 ≤ 10

First, we will solve the inequality

−3x + 1 ≤ 10

Subtract 1 from both sides

−3x +1 -1 ≤ 10 - 1

−3x ≤ 9

Divide both sides by -3 and<u> flip the sign</u>

x ≥ -3

The graph of the inequality is shown below

Learn more on Graphing inequalities here: brainly.com/question/13053003

#SPJ1

6 0
2 years ago
Help plzzz!! Marking most Brainly;)
kolezko [41]

Answer:

D it

Step-by-step explanation:

We have two equations, A quadratic and a linear equation.

The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.

Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.

b {}^{2} - 4ac

{ - 6}^{2}  - 4(1)(8.75)

36 - 35 = 1

The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve

If you graph the equation, it intercepts at two positve roots so it is D

3 0
2 years ago
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