Jim began a 145 mile bicycle trip to build up stamina for a triathlon competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per​ hour, find the amount of time he spent on the bicycle.

The value of x = 3/5 or 0.6 will satisfy the equation given.

An equation is a mathematical statement which is formed when two expressions are equated by an equal sign.

It is given that

[tex]\rm \dfrac{1}{3x-1} = \dfrac{2}{x+1}\\[/tex]

It has to be solved and the value of x has to be determined

(x+1) = 2 (3x-1)

x +1 = 6x -2

5x = 3

x = 3/5

Therefore the value of x = 3/5 or 0.6 will satisfy the equation given.

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½ 0r 50% is the probability that the student studies Art and biology.

Probability is a branch of mathematics that deals with the occurrence of a random event . i.e. Probability  means possibility.

According to the question,

Total number of students in the group;

n = 25 students

No. of students that study both art and biology;

n(P u Q) = 6

No. of students that study biology but not art;

n(Q u P') = 10

No. of students that study none of the 3 subjects;

n(P' u Q') = 3

So,

No. of students that study only arts is;

n(P n Q') = 25 - 6 - 10 - 3 = 6

Since,  n(P u Q) = 6

Therefore by using formula;

n(P) = n(P u Q) + n(P n Q')

n(P) = 6 + 6

n(P) = 12

Hence,

Probability of the students who studies Art and biology is;

P(P n Q) = [tex]\frac{6}{12}[/tex]

P(P n Q) = ½  i.e. 50%

The probability the student study art & biology ½  i.e. 50%.

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DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.

The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.

Hence, DE is the segment parallel to side B.

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Answer:

17 batches

Step-by-step explanation:

51/4 ÷ 3/4 = 51/4 x 4/3

                =17

In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].

Given ΔIJH the length of the hypotenuse is 65,  the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

              = [tex]1\frac{9}{56}[/tex]

Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].

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The domain of the given graph is the set of all real numbers from 0 to 8.

The graph showing the water depth on the y-axis in inches against the time in minutes on the x-axis has been attached.

Now, domain is the set of all possible input values and from the graph we see that the set of all possible input values are between 0 and 8.

Thus, we can conclude that the domain of the given graph is the set of all real numbers from 0 to 8.

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Answer:

hey diddle the medians the middle

you add and then divide for the mean

the mode is the one you see the most and the range is the difference between.

Hope this helps you with your question

Step-by-step explanation:

Answer:  [tex]h(x)=\sqrt{x+4}[/tex]

Step-by-step explanation:

The graph of h(x) is the graph of f(x) shifted 4 units left.

Answer:

l×b×h

50×10×20

10000cm^3

Step-by-step explanation:

please mark me as brainlest

Answer:

10000 cm³

Step-by-step explanation:

Volume of rectangular box:

         To find the volume of box,  multiply the length, width and height of the box and its unit is cubic units

         [tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]

                                                         = 50 * 1 0 * 20

                                                          = 10000 cm³

Yes, the distance from (-2, 0) to (1, √7) is 4 units.

We know that the general form of equation of the circle is given by;

(x - h)² + (y - k)² = r²

where;

(h, k) is the coordinate of the center

r is the radius

From the attached image, the radius is equal to the distance between the center and the point (-2,4).  Thus, r = 4 and so we have;

(x + 2)² + (y - 0)² = 4²

(x + 2)² + y² = 16

If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

At A(-2, 0) and B(1, √7), we have;

d = √[(√7 - 0)² + (1 - (-2))²]

d = 4 units

Therefore we can conclude that  the distance from (-2, 0) to (1, √7) is 4 units.

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Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I think you meant

  y= a (x-h)^2  +k

       this is the vertex form of a parabola with vertex  (h,k)

Answer:

A. Exponential growth function

Answer:

Step-by-step explanation:

Answer:

[tex]\boxed{\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x}[/tex]

Step-by-step explanation:

In exponential form, a* b^x,

Where, "a" is value of the function when x=0 and "b" is the constant ratio of f(x) for consecutive for integer values of x.

Y-intercept : (0, 4) so, a = 4.

The graph also passes through (1,7), because 0 and 1 are consecutive integer x-values.

[tex]\bf b=\cfrac{7}{4}[/tex]

So therefore, the equation for f(x) is :-

[tex]\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x[/tex]

No. Because the x is raised to the 2nd power the equation is not linear.

Answer:

54%

Step-by-step explanation:

To find the probability for a male patient to have B blood, find the number of male patients who do have B blood and divide it by the number of patients with type B.

The number of male and B blood is 99.

The number of patients with B blood is 183.

The probability is 99/183 = 0.54.

The percent is found by multiplying by 100.

0.54*100 = 54%

Answer:

d.

Step-by-step explanation:

The parent graph is shifted right 2 and down 2

Answer:

∠ABC =   52°

∠BCA =  48°

∠CAB = 80°

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180.

13x² + 12x² + 20x² = 180

Combine like terms,

                 45x²  = 180

                     x² = 180 ÷ 45

                     x² = 4

                     x = √4

                     x = ± 2

x = 2 ; -2

∠ABC = 13x² = 13*4 = 52°

∠BCA = 12x² = 12 *4 = 48°

∠CAB = 20x² = 20 *4 = 80°

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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Answer:

148:370

Step-by-step explanation:

2+5=7 parts

518÷7=74

1 part =74

2×74=148

5×74=370

Answer:

Before discount = $61.25

After discount = $49.00

Step-by-step explanation:

Given information:

The price of the gift before the discount is 100%.

If the $12.25 discount was 20% of the purchase price, then:

⇒ original price (before discount) = (12.25 / 20) × 100 = $61.25

To find the price after the discount, simply subtract the discount from the found original price:

⇒ $61.25 - $12.25 = $49.00

Conclusion

Answer: 1.44

Step-by-step explanation:

(original price) - (1/6 of the original price) = 1.20

If you let x = original price, then the equation is:

x - 1/6 x = 1.20

5/6 x = 1.20

x = 1.44

the original price is £1.44.

Credits to the person who also answered :)

I hope this helps!

Answer:

£1.44

Step-by-step explanation:

Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.

Let x = original price.

Write an equation and solve it.

5/6 x = £1.20

x = £1.20 × 6/5

x = £1.44

The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

"It is a method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A farmer can plant 45 kg of peanuts on 4,000 square meters of land.

Using unitary method,

[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]

This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.

We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.

Here, 1 kg = 88.89 square meters

          x kg = 8500 square meters

[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]

Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

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The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively

From the graph, we have the following points

(x,y) = (5,6) and (-3,-7)

Start by calculating the slope:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{-7 - 6}{-3 - 5}[/tex]

Evaluate the differences

[tex]m = \frac{-13}{-8}[/tex]

Evaluate the quotient

[tex]m = \frac{13}{8}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = \frac{13}8(x - 5) + 6[/tex]

Multiply through by 8

8y = 13(x - 5) + 48

Open the bracket

8y = 13x - 65 + 48

Evaluate the like terms

8y = 13x - 17

Subtract 13x from both sides

-13x + 8y = -17

Multiply through by -1

13x - 8y = 17 ---- this represents the standard form

Subtract 17 from both sides

13x - 8y - 17 = 0 --- this represents the general form

Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively

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Answer:

X intercepts (41/2, 0), Y  intercepts (0, -41)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me, and ill be more than happy to help :)

The domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes.

The function f(x) = 2x - 41 is a linear function.

As a linear function, the domain is all real numbers, and the range is also all real numbers.

So the domain is (-∞,∞) and range is (0,∞)

Hence,  the domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

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Answer:

4500 sec

Step-by-step explanation:

1hr 15min= 75 min

75 x 60=4500

The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Total distance covered = 3 miles.

The first part walked at the rate of 4 miles per hour.

Let us consider x hours was walked in the first part.

Total distance covered in x hours at the rate of 4 miles per hour will be 4x.

Now, the Second walk rate with meeting with friend will be 5 miles per hour.

The Total time is taken = 0.7 hours.

Therefore, time is taken in the second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in the first part + distance covered in the second part.

4x + 5 (0.7 - x) = 3 miles.

Hence, correct option is D; 4x + 5(0.7 – x) = 3.

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Answer:

its d

Step-by-step explanation:

The geometric mean of 9 and 9/4 will be 9/2 or 4 1/2.

It should be noted that in order to find the geometric mean of the numbers given, give to find the square root and then multiply.

This will be:

= ✓9 × ✓9/4

= 3 × 3/2

= 9/2 = 4 1/2

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Answer:

or 3162.2776601683795

Step-by-step explanation:

what is the square root of 10,000,000​?

√10000000

= √2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5

= √26 x 2 x 56 x 5

= 1000√10

or 3162.2776601683795

Answer:

$390

Step-by-step explanation:

The wage rate for Kailyn is ($146.25/15 hours) = $9.75/hour

40 hours would result in:

(40 hours)*($9.75/hour) = $390