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mart [117]
3 years ago
11

D-4=23 what is the variable

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0
D. D is the variable. If you want to find D, you add 4 to both sides, giving you "D=27".
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A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
Bob scored 1/3 of the number of points that bill scored if Bob scored 24 points how many points did Bill score
-Dominant- [34]

Answer:

Bill = 72

Step-by-step explanation:

Since Bob scored 1/3 of the number of points that Bill would have scored if Bob scored 24 points......

24 divided 1/3

= 72

3 0
2 years ago
The distance between Frankfurt and Prague is 432.5 km. Alex left Frankfurt at 10 AM and started traveling to Prague at 60 km/h.
viva [34]

Answer:

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt

Step-by-step explanation:

We are given that the distance between Frankfurt and Prague is 432.5 km.

Distance bw Frankfurt and prague, s(F&P) = 432.5km

Alex left Frankfurt at 10 AM and tavelled at 60 km/hr. At noon i.e 12 PM Michael started traveling from Prague to Frankfurt, which means that Alex travelled 2 hour before Michael started, so lets calculate that distance first.

At 10 AM:

Time travelled by Alex, t = 2hr

Speed, v = 60km/hr

Distance, s(Alex) = v × t = 60 × 2 = 120 km

At noon 12 PM:

Now that Alex has covered 120 km from Frankfurt, he is now 432.5 - 120 = 312.5 km away from Michael at 12 PM.

Distance between Michael and Alex is now 312.5 km

Now Micahel will start moving towards Frankfurt at a speed of 65km/hr

And Alex is also coming towards Prague at a speed of 60km/hr

As they are moving toward eachother their speed will be taken as cumulative.

Speed, v = 65 + 60 = 125

Distance between the two, s = 312.5km

Time t = \frac{s}{v} = \frac{312.5}{125} = 2.5 hr


In these 2.5 hr Alex will cover a distance at 60km/hr = 2.5 * 60 = 150

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt



5 0
3 years ago
In order to make statistical inferences when testing a population proportion p, which of the following conditions verify that in
sweet [91]

Answer:

a, b and c.

Step-by-step explanation:

The statistical inference may be defined as the process of using the data analysis to infer the properties of an underlying distribution for a probability.

In the context, for testing the population proportion p, the following conditions are used to verify the inference procedures so as to make the statistical inferences :

-- data that are collected by a random assignment or by a random sample.

-- sample size should be less than 10% of population size.

-- The $n \ p_0 \geq 10$ and the $n(1-p_0) \geq 10$ for the sample size $n$ as well as for the  hypothesis proportion, $p_0.$

4 0
3 years ago
Help with sequence :)<br> picture down below:)
nirvana33 [79]
The 2nd choice is it
3 0
3 years ago
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