Find the value of the following expression using suitable properties of whole numbers
and name the property used.
789 × 175 – 75 × 789

Answer:

6.4 units (nearest tenth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Distance between A and B

[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]

[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]

[tex] = \sqrt{ {4}^{2} + ( - 5) {}^{2} } [/tex]

[tex] = \sqrt{41} [/tex]

= 6.4 units (nearest tenth)

Answer: The diagram is shown below

==============================================================

Explanation:

If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.

If x < -5, then (x-5)(x+5) is positive. Let's say x = -6

(x-5)(x+5)

(-6-5)(-6+5)

(-11)(-1)

11

So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.

Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.

It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5

Plugging x = 0 leads us to

(x-5)(x+5)

(0-5)(0+5)

(-5)(5)

-25

Showing that (x-5)(x+5) is negative on the interval -5 < x < 5

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

Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0

We found that (x-5)(x+5) is positive when x < -5 or when x > 5

(x-5)(x+5) is equal to zero when x = -5 or x = 5

So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]

To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).

The graph is below.

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Answer:

5. x= 30

6. x= 34,67

Step-by-step explanation:

5. 5x = 3x +60

   2x = 60

   x = 30

6. 11x - 15 + 5x -13 = 180

   6x - 28 = 180

   6x = 208

   x= 34,666667 or 34,(6) or 34,67

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

Answer:

width = 7 cm

Step-by-step explanation:

63 / 9 = 7

Therefore, 7 * 9 = 63cm cube

Answer:

7

Step-by-step explanation:

63 ÷ 9 = 7

63 ÷ 7 = 9

9 x 7 = 63

:D

Step-by-step explanation:

Answer 1

⅒

Answer 2

13.3cm²

Answer 3

I cannot see any shaded area and sorry

Answer 4

Unlike

Answer 6

21/23

Answer 7

5/27

hope it helps

Answer:

Step-by-step explanation:

Answer:

A1. The answer is option (b) 1/10

A2. The answer is option (b) 13.4 cm²

A3. Shaded area not provided

A4. The answer is option (b) Unlike Fractions

A5. The answer is option (d) 20

A6. The answer is option (b) 21/23

A7. The answer is option (c) 5/27

Step-by-step explanation:

A1. We multiply the denominators (the numbers on the bottom) and the numerators (the numbers on top) to multiple fractions. As a result, for (1/2) x (1/5), we have

(1/2) × (1/5) = (1 × 1) / (2 × 5) = 1/10.

A2. Multiplying the length by the breadth yields the area of a rectangle. The dimensions in this instance are 6.7 cm in length and 2 cm in width. So, the area may be determined as follows:

Area = length × breadth = 6.7 cm × 2 cm = 13.4 cm².

Hence, the correct answer is (b) 13.4 cm².

A3. Please provide the shaded  area.

A4. Fractions that have different denominator are called unlike fractions.

So the answer is option (b)

A5.Let us suppose India played  'x'  number of matches

According to the Question, India won 3/5 of its matches, which implies that they won 3/5  * x matches.

It is also mentioned that India won 4 more matches than it lost against New Zealand. Therefore, the number of matches India won against New Zealand is 4 more than the number of matches it lost against New Zealand.

From this, we can set up the equation:

3/5 * x = (x/2) + 4

Multiplying both the sides by 10, we have

6x = 5x + 20

subtracting 5x from both sides:

6x - 5x = 5x - 5x + 20

x = 20

Hence, India played 20 matches.

A6. When the numerator is less than the denominator, the fraction is said to be proper fraction. Hence among the given options, 21/23 fits the best.

Hence option (b) is correct

A7. To find what should be added to 21/27 to make it 26/27, we need to calculate the difference between the two fractions.

Let  us suppose that we need to add x

=> 21/27 + x = 26/27

=> x= 26/27 - 21/27 = 5/27

Therefore, the answer is (c) 5/27.

Given:

The table of values.

To find:

The function for the given table.

Solution:

From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.

Mathematically, it can be defined as:

[tex]y=1\times x[/tex]

[tex]y=x[/tex]

Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.

[tex]f(x)=x[/tex]

Therefore, the correct option is A.

Step-by-step explanation:

Measure angle <1=<4 letter f

Then 3x-160=x+20

2x=180

Then x=90

C. People who bought a major appliance from the store.

A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.

For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;

i. They are the consumers of the product.

ii. They have bought and definitely used the product.

iii. They have some usable and useful experiences since they have handled the product.

Answer:

C

Step-by-step explanation:

y=mx+b where m =slope and b= y intercept

m=y-y/x-x or 3-1/1-0 or 2

B is where the line crosses the x axis or 1

So y=2x+1

Answer:

they are NOT similar!

Step-by-step explanation:

the angles are not conguent or they are not the same in words

the don't add up with the same sum of angles,

so your explanation would be:

45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other

9514 1404 393

Answer:

  ∆AFN ~ ∆SHE . . . . AA~

Step-by-step explanation:

The third angle in triangle HSE is ...

  180° -45° -29° = 106°

This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.

Listing vertices in order of smallest-to-largest angles, the similarity statement is ...

  ∆AFN ~ ∆SHE . . . . AA~

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

Everything has been explained in there

Answer:

C) x/21

Step-by-step explanation:

Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.

Answer:

2,900 plums left

Step-by-step explanation:

3,000 plums - 100 sold plums = 2,900 plums left

Answer:

2900

Step-by-step explanation:

3000 (plums) - 100 (plums sold) = 2900 (plums left.)

You didn't say how much money you started out with by the plums.

Answer:

the last one.

Step-by-step explanation:

Because there is 4 parts and one of them is red

Answer:

1/4

Step-by-step explanation:

All four areas are equal in area / circumference.

When spinning, each colour has equal probability, so 25%, or 1/4.

Answer:

-¹/5.

Step-by-step explanation:

hope it helps you mark me as branliest

Answer:

x =5

Step-by-step explanation:

Formulas used

[tex]log_a \ x = b\\\\=>x = a^b\\\\(\frac{1}{a})^{-1} = a[/tex]

Solution :

      [tex]log_{\frac{1}{5}} \ x = -1\\\\x = (\frac{1}{5})^{-1}\\\\x = \frac{1}{5^{-1}} = 5[/tex]

Answer:

True

Step-by-step explanation:

Sin t = 0.6

t = Sin⁻¹ (0.6) = 36.86

Cos t = 0.8

t = Cos⁻¹ 0.8 = 36.86

Answer:

It will take 60 hrs

Hope this helped!

Answer:

It would take 60 hours for the rig to complete digging the -150 ft. hole.

Step-by-step explanation:

Hint: Using ratios will help solve questions like this one.

The first hole was dug -60 ft. below the surface for a whole day and night. A day lasts 12 hours and the same goes for a whole night. That's 24 hours in total. This will help answer Part A. A second hole was dug -150 ft. below the surface with the same rate as the first hole. Let's put this into a ratio.

-60 : 24

-150 : ?

Finding the scale factor in ratios will help solve for the missing value. We can divide -150 by -60 which results in 2.5. Multiply 2.5 by 24 and you will get 60 hours as your final answer. I hope you will find this helpful! :D

Answer:

23

Step-by-step explanation:

234Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If

23

you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose

50

another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of

picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely

to pick a tile that is the letter Y?

The probability of picking the letter Y from bag of 50 letters is 23/50 or 0.46 or 46% and probability of picking the letter Y form bag of 200 letters is 172/200 or 0.86 or 86%. as the probability of getting the letter Y is more in second bag this it is better to pick the bag containing 200 letters.

The probability explains the chances of happening a event. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event to happen and 1 indicates certainty of the event to happen.

From the question it is said that a bag of 50 letter contain 23 Y letters. Thus the probability of the letter Y picking is 23/50 i.e, number of times the letter Y can come out if we pick the letters 50  times. So, it is certain that 23 Y letters can come out.

23/50= 0.46 or 46%

And if the bag contain 200 letters in which 172 are Y letters then the probability to pick Y is 172/200

172/100 =0.86 or 86%

As the chance to get Y letter is mor in bag containing 200 letters thus pick this bag.

thus the 1st bag probability is 46% and for 2nd bag is 86%. Hence choose 2nd bag

To know more about probability click here

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Answer:

The 7 is in the tenths place

Step-by-step explanation:

869.74

hundreds  tens  ones.  tenths  hundredths

 8                6      9            7             4

The 7 is in the tenths place

Answer: The 7 is in the tenths place not the hundreds place.

Tenths Hundreds

  0.1          0.01

Hope this helps...

Have a great day.

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

Learn more about quadratic equation here

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Answer:

f (x) = x^2 - 5x - 6

Step-by-step explanation:

That may be the answer

Answer:

(x)^2 + (y+8)^2 = 36

Step-by-step explanation:

The standard form for an equation for a circle is

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is center of the circle and r is the radius

(x-0)^2 + (y- -8)^2 = 6^2

(x)^2 + (y+8)^2 = 36