The sum of two numbers is 139 and the difference is 53. Explain how to find the two numbers.

Answer:

3 1/2 ÷ 1 1/4  

7/2 ÷ 5/4

7/2 · 4/5

28/10

2.8

Julio walks 2.8 miles in one hour.

Step-by-step explanation:

Answer:

2.8miles/hr

Step-by-step explanation:

Given parameters:

 Distance walked = 3.5miles

 Time taken  = 1.25hrs

Unknown:

Number of miles walked per mile  = ?

Solution:

The miles walked per hour is defined as the speed.

  Speed is the distance divided by time;

   Speed  = \(\frac{Distance}{time taken}\)

Insert parameters and solve;

   Speed  = \(\frac{3.5}{1.25}\)   = 2.8miles/hr

Answer:

3.83

Step-by-step explanation:

11.49 divided by 3 is 3.83

Answer:

Step-by-step explanation:

2500 - 12%

12% of 2500 = 300

2500 - 300 = 2200

12% of 2200 = 264

2200-264=1936

Repeat another 4 times

The distance between the points is 4.3.

Given the points are C(2,4) and D (5,7)

let the two points be:

C (2,4) = (x₁ , y₁)

D (5,7) = (x₂ , y₂)

The length of the section of a line connecting any two places represents their distance. Only one line connects the two places, and it passes through both. The length of the line segment that connects the two places may therefore be used to compute the distance between them.

Distance between the points = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

substitute the points.

d = √(5 ₋ 2)² ₊ (7 ₋ 4)²

d = √(3)² ₊ (3)²

d =  √9 ₊ 9

d =  √18

d = 4.24

rounding off to nearest tenth

d = 4.3

Hence we get the distance between two points as 4.3.

Learn more about coordinate geometry here:

https://brainly.com/question/7243416

#SPJ9  

Answer:

Step-by-step explanation:

To solve this problem, we need to determine the number of ways to choose two objects of different types from the given sets.

We can start by computing the number of ways to select two objects from each of the three sets, and then add these numbers together. Since we must choose two different types, we cannot choose two objects from the same set.

The number of ways to choose two cups is:

C(5,2) = 5! / (2! * (5-2)!) = 10

The number of ways to choose two saucers is:

C(4,2) = 4! / (2! * (4-2)!) = 6

The number of ways to choose two spoons is:

C(2,2) = 1

Since we must choose two different types, we need to multiply the number of ways to choose two objects from different sets. There are three sets to choose from, so we need to choose two of them as follows:

3 choices of sets * number of ways to choose two objects from each set = 3 * (10 + 6 + 1) = 51

Therefore, there are 51 ways to buy two objects of different types from the given sets of cups, saucers, and spoons.

In the right triangle , the value οf x is 51.7°.

The functiοns οf an angle in a triangle are knοwn as trigοnοmetric functiοns, cοmmοnly referred tο as circular functiοns. In οther wοrds, these trig functiοns prοvide the relatiοnship between a triangle's angles and sides. There are five fundamental trigοnοmetric functiοns: sine, cοsine, tangent, cοtangent, secant, and cοsecant.

Here in the given right angle PQ=3.1 , PR=5 .

Nοw using trigοnοmetric functiοn,

=> cos(P) = \(\frac{adjacent}{hypotenuse}\)

=> cos (x) = \(\frac{PQ}{PR}\)

=> cos (x) = \(\frac{3.1}{5}\)

=> x = \(cos^{-1}\frac{3.1}{5}\)

=> x = 51.7°.

Hence the value of x is 51.7°.

To learn more about trigonometric function refer the below link

https://brainly.com/question/25618616

#SPJ1

Answer:

54 degrees!

Step-by-step explanation:

its a right triangle so we know 2 out of the 3 angles

so 36 + 90 = 126

180 - 126 = 54!

hope this helps :)

since the powers are same, ignore 'em , and let's calculate the bases.

-16.(1/2)

-8.1 (upon cancellation)

ans = -8

hope it helps...!!!

Answer:

Step-by-step explanation:

5+5+6+6+7+7+6+6=48cm

Using proportions, the explanation for this is that a basketball game has four quarters, hence half-time is at the end of the second quarter.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the basic arithmetic operations, especially multiplication and division with the unit rates in the problem.

The entirety of a basketball game is composed by:

4 quarters.

Hence the mid-point of the game is calculated as follows:

0.5 x 4 quarters = 2 quarters.

This means that the end of the second quarter is the mid-point of the game, which is why the halftime is positioned at the end of the second quarter.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

(a) This is an observational study.

The reason is that the researchers did not manipulate any variables or conditions; they simply observed and collected data on the two groups of babies (VLBW and normal birth weight) as they grew up.
(b) The p-value (0.0013) is less than the significance level (typically 0.05), we reject the null hypothesis.  

There is sufficient evidence to suggest that the graduation rate among the VLBW group is significantly lower than the normal-birth-weight controls.

To determine if the graduation rate among the VLBW group is significantly lower than the normal-birth-weight controls, we can perform a hypothesis test using the proportion of high school graduates in each group.
State the null and alternative hypotheses.
Null hypothesis (H0):

There is no significant difference in graduation rates between the VLBW group and the control group (\(p_VLBW = p_control).\)
Alternative hypothesis (Ha):

The graduation rate among the VLBW group is significantly lower than the control group \((p_VLBW < p_control).\).

Calculate the sample proportions and the pooled proportion.
\(p_VLBW\) = 179/242 = 0.7397
\(p_control = 193/233 = 0.8283.\)
\(p_pooled = (179 + 193) / (242 + 233) = 0.7842\)
Calculate the test statistic.
\(z = (p_VLBW - p_control) / sqrt(p_pooled * (1 - p_pooled) * (1/242 + 1/233)) = -3.0074\)
Determine the p-value.
Using a z-table or calculator, the p-value for z = -3.0074 is approximately 0.0013.

For similar question on evidence.

https://brainly.com/question/30927262

#SPJ11

Answer:

SAA theorem

Step-by-step explanation:

The given data with regards to ΔLET and ΔPVC are;

ET ≅ VC

∠L ≅ ∠P

∠E ≅ ∠V

From the given relationship, we have that two angles and the adjacent (nonincluded) side to the two angles in ΔLET are congruent to the corresponding two angles and adjacent (nonincluded) side of ΔPVC

Therefore, the congruence theorem that can be used to prove that the two triangles are congruent is the Side-Angle-Angle (SAA) congruency theorem

The SAA congruency theorem states that, two triangles that have two angles and a nonincluded side on one triangle being congruent to the corresponding two angles and a non included side on the other triangle, then the two triangles are congruent.

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

Answer:

\(\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}\)

Step-by-step explanation:

\(2.1<2.8\)

\(\sf 2.1 \ is \ lesser \ than \ 2.8.\)

\(\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.\)

Answer:1 is to the left of 2.8 on a horizontal number line

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{a}{\pi r^2}=\frac{\theta }{360^o}\\ \\ a=\frac{\pi r^2 \theta }{360^o}\\ \\ r=36^o,\ \theta =80^o\\ \\ a=288\pi cm^2\)

The sum of all the possible values of the hypotenuse is 128.4.

According to the statement

we have given that the Three relatively prime integers are the sides of a right triangle and the smallest leg has length 28.

And we have to Find the sum of all the possible values of the hypotenuse.

So, For this purpose, we know that the

Let us consider a three relatively prime integers which are 29,31,37.

we choose these numbers because we have given that the

the smallest leg has length 28.

And according to the Pythagoras theorem.

we know that the

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

And let the smallest length be a base.

So , Put the values of the perpendicular in this one by one then

so,

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 29 and base = 28.

Then

(Hypotenuse)^2 = (29)^2 + (28)^2

(Hypotenuse)^2 = 1625

(Hypotenuse) = 40.31

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 31 and base = 28.

Then

(Hypotenuse)^2 = (31)^2 + (28)^2

(Hypotenuse)^2 = 1745

(Hypotenuse) = 41.77

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 37 and base = 28.

Then

(Hypotenuse)^2 = (37)^2 + (28)^2

(Hypotenuse)^2 = 2153

(Hypotenuse) = 46.40

And then

The all possible values of the hypotenuse are 40.31, 41.77, 46.40.

And the sum become is 128.4

So, The sum of all the possible values of the hypotenuse is 128.4.

Learn more about hypotenuse here

https://brainly.com/question/2217700

#SPJ4

Answer:

8

Step-by-step explanation:

Price : %

  \(x\)    :  100

 6.4  :  80     (Got 80 by 100 - 20)

Cross multiply

100*6.4 = 80\(x\)

640 = 80\(x\)

640/80 = \(x\)

\(x\) = 8

The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

learn more about parameterization: https://brainly.com/question/16246066

#SPJ1

The triangle with angles 44 degrees, 54 degrees, and 82 degrees will be a scalene triangle.

We are given the following:

The measures, in degrees, of the three angles of a triangle are x, x + 10, and 2x - 6.

We know from the triangle angle sum property that the sum of its internal angles is 180 degrees.

Let us find the given angles;

x + x + 10 + 2x - 6 = 180 degrees

4x + 4 = 180 degrees

4x = 180 - 4 degrees

x = 176 / 4 degrees

x = 44 degrees

So,

Angles will be;

x = 44 degrees

x + 10 = 44 + 10 = 54 degrees

2x - 6 = 2 * 44 - 6 = 88 - 6 = 82 degrees

All the angles are different.

Thus, the triangle with angles 44 degrees, 54 degrees, and 82 degrees will be a scalene triangle.

To learn more about angle sum property visit:

https://brainly.com/question/8492819

#SPJ4

Answer:

41.67hrs

Step-by-step explanation:

if the snail moves 0.12km in 1hr

the snail will move 5km in Xhrs

0.12 × X = 5 × 1

0.12X= 5

X= 5/0.12 = 41.67hrs

Answer:

41.76 hours

Step-by-step explanation:

I feel bad so i did the math. Good Luck! hope you get it right!

The measure of angle 2 and angle3 are 133 ad 47 degrees respectively

From the given diagram, the measure of angle 1 and 2 are congruent. (vertical angles)

Given he following parameters

m<1 = 133 degrees

Since m<1 = m<2, hence m<2 = 133 degrees

Also;

m<2 + m<3 = 180

133 + m<3 = 180

m<3 = 180 - 133

m<3 = 47 degrees

Hence the measure of angle 2 and angle3 are 133 ad 47 degrees respectively

Learn more on vertical angles here: https://brainly.com/question/11553785

#SPJ1

The diameter of the pizza to the nearest inch is 11 inches.

Let's call the diameter of the pizza "d". The circumference of the pizza can be calculated using the formula:

C = πd

And since the outer edge of the crust from one piece measures 5.5 inches, that length is equal to 1/8 of the circumference of the pizza:

5.5 = (1/8)C

So we can substitute the formula for the circumference into this equation:

5.5 = (1/8)(πd)

Solving for d, we can multiply both sides by 8/π:

d = (5.5)(8/π)

Calculating the approximate value of π as 3.14, we get:

d ≈ (5.5)(8/3.14) = 11 inches

So the diameter of the pizza is approximately 11 inches, rounded to the nearest inch.

To learn more about diameter here:

https://brainly.com/question/5501950

#SPJ4

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

To learn more about probability click on,

https://brainly.com/question/11994012

#SPJ4

Yes, corresponding angles can be supplementary.

In geometry, two angles are considered supplementary if they add up to 180 degrees. In other words, if two angles have a sum of 180 degrees, they are called supplementary angles.

When two parallel lines are cut by a transversal, corresponding angles are angles that lie in the same relative position and are on the same side of the transversal line. These angles are found at the same relative distance from the two lines, meaning they are congruent.

So, if two parallel lines are cut by a transversal, and the corresponding angles are congruent, then it is possible for them to be supplementary as well. This is because if two angles are congruent, then they must have the same measure.

And if they have the same measure, then their sum will always equal to double the measure of either angle, which would make them supplementary.

In conclusion, corresponding angles can be supplementary if they are congruent.

To know more about angle here.

https://brainly.com/question/4316040

#SPJ4

Answer:

49.2 km/hr

13.7 m/s

Step-by-step explanation:

(24.6 km/30 min)(60 min/hr) = 49.2 km/hr

(49.2 km/hr)(1000 m/km)(1 hr/3600 sec) = 13.7 m/s

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

Know more about level of significance here:

https://brainly.com/question/30542688

#SPJ11