Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5​

Answers

Answer 1

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.


Related Questions

help me with this math question please

Answers

Answer: $265

Step-by-step explanation: I just added all the numbers together.

If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter

Answers

Answer:

If ABCD is If ABCD is dilated by a factor of }, the

coordinate of B' would be:2

Can someone help me on this math question its confusing ill give brainly when right!!!

Answers

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

The coefficients are:-

-4,-6

hope it would be helpful for you

Answer:

-4,-6

Step-by-step explanation:

coefficient is an integer that is multiplied with the variable of a single term or the terms of a polynomial

36. Given that y varies directly with x,
what is the equation of direct variation
if y is 3 when x is 7?

Answers

Answer:

A. y = 3/7x

Step-by-step explanation:

Direct variation: y = kx

3 = 7k

k = 3/7

y = 3/7x

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete

Answers

The answer is C, both continuous

Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no

Answers

Answer:

(x, y) → (y, -x)

Step-by-step explanation:

The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)

The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)

The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;

(x, y) → (y, -x)

The resulting transformation used will be (x, y) -> (y, -x)

Transformation of coordinates

Transformation are rules applied to an object to change its orientation

For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage

The coordinate of A is (2, 5) while that of A' is (5, -2).

From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.

Hence the resulting transformation used will be (x, y) -> (y, -x)

Learn more on transformation here:  https://brainly.com/question/17311824

Copy and complete the table.

Answers

Answer:

See pic below.

Step-by-step explanation:

which of the following is a prime number (a).111 (b)91 (c).61 (d).51​

Answers

Answer:

(c).61

Step-by-step explanation:

61 is a prime number. The number is divisible only by 1 and itself.

*NEED AN ANSWER ASAP* My book didn’t explain how to solve these ones.

Answers

Answer:

1-2. AC = 13.6

BC = 8.9

3-4. A triangle such as the given value isn't possible

Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers?

Answers

Answer:

28 : 37

Step-by-step explanation:

Find how many male teachers there are by subtracting 9 from 37:

37 - 9

= 28

Create a ratio with this to the total number of teachers:

28 : 37

So, the ratio of the number of male teachers to the total number of teachers is  28 : 37.


Find the first three common
multiples of 9, 12 and 18

Answers

Answer:

Step-by-step explanation:

9 =  9 , 18 , 27 , 36 ,  45 , 54 , 63 ,  72, 81 , 90 , 99 , 108....

12 = 12 , 24 , 36 , 48 , 60, 72 , 84 , 96 , 108, ......

18  = 18 , 36 , 54 , 72 , 90 , 108 .....

First three common multiples of 9, 12 and 18 :  36 , 72 , 108

Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18​

Answers

Answer:

D) 18

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]

Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1

Answers

Answer:

(x -+2)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4) and r = 6 , then

(x - (- 2))² + (y - 4)² = 6² , that is

(x + 2)² + (y - 4)² = 36 ← equation of circle

Pleaseee help!!!!!!!

Answers

Answer/Step-by-step explanation:

Given:

86.32947

Let's find the place value of each digit

8 => tens which is 80

6 => unit which is 6

3 => tenth which is 0.3

2 => hundredth which is 0.02

9 => thousandth which is 0.009

4 => ten-thousandths which is 0.0004

7 => hundred-thousandth which is 0.00007

If you add all of the it will give you 86.32947

Thus:

1. 6 => b

2. 8 => g

3. 4 => e

4. 7 => d (there's a mistake in the number of zeros written.)

5. 9 => c

raise irrational number to rational power and get a rational number

Answers

9514 1404 393

Answer:

  (√2)² = 2

Step-by-step explanation:

You can do this for any rational root of a rational number. Simple examples are squares and cubes:

  (√5)^2 = 5 . . . . . . √5 is irrational

  (∛6)^3 = 6 . . . . . . . ∛6 is irrational

__

You can also do it with other rational roots:

  x = 83^(2/3) is irrational

  x^(3/2) = 83 is rational

WHY IS MATH SO HARDDDD

Answers

Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on.

3.
In each box there are 22 eggs. How many eggs do I have if I have 12 boxes?

Answers

Number of eggs = 12x22 =264

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.

Answers

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?

Answers

a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.

b. The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

From the question,

The data for the first week are

Week 1: 12, 8, 10, 9, 12

and for the second week

Week 2: 8, 7, 12, 9, 10

Putting the data together, we have  

12, 8, 10, 9, 12, 8, 7, 12, 9, 10.

Now,

]a. To determine the mean of the above data,

Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.

From the above, we have 10 numbers

∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]

[tex]Mean = \frac{97}{10}[/tex]

Mean = 9.7 minutes

For the median of the data

The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.

For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10

Arranging in ascending order, we get

7, 8, 8, 9, 9, 10, 10, 12, 12, 12.

Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.  

∴ [tex]Median = \frac{9+10}{2}[/tex]

[tex]Median = \frac{19}{2}[/tex]

Median = 9.5 minutes

For the mode of the data

The mode is the value that occurs most often.

From the data, 12 occurs most often (three times)

∴ Mode = 12 minutes

For the range of the data

Range is the difference between the highest and lowest values.

From the data

Highest value = 12

Lowest value = 7

∴ Range = 12 - 7

Range = 5 minutes

b. For the measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day.

Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.

∴ The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Hence,

From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes

and the  measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Learn more here: https://brainly.com/question/16882439

Which table represents a function?

Answers

Answer:

The last one

Step-by-step explanation:

All the other tables have repeating x values

I hope this helps!

pls ❤ and give brainliest pls

The ratio of people watching whales to people fishing was five to seven if there were 72 people in all how many were fishing

Answers

42
5x + 7x = 72
12x = 72
x= 6
6 times 7 is 42

There were 42 people who are fishing if the ratio of people watching whales to people fishing was five to seven.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given that the ratio of people watching whales to people fishing was five to seven if there were 72 people.

Let the number of people who watch whales would be 5x

And the number of people who are fishing would be 7x

According to the given condition, the required solution would be as:

⇒ 5x + 7x = 72

⇒ 12x = 72

⇒ x = 6

So the number of people who are fishing = 7 × 6 = 42

Therefore, there were 42 people who are fishing.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ2

4.
Which point is NOT part of the solution of the inequality y < (3x + 1?
(-4, 12)
(0,0)
(2, -9)
(3, 15)

Answers

Answer: The non solutions of the inequality are A and D.

Step-by-step explanation:

21in. = _____ft. terminating or repeating

Answers

Answer:

Terminating

Step-by-step explanation:

We know that 12 inches is 1 foot. We can divide to find how many feet we have.

21 / 12 = 1.75

Since the decimal ends at 0.05, the decimal is terminating.

Best of Luck!

21in.=1.75ft. terminating or repeating

need help with this!!

Answers

Answer:

The answer is B..... The corresponding is the identical number between all

The is 7 in each...

For the function determine:

Answers

Answer:

answer for number a is 3/2

answer for number b is 6

answer for number c is 8

|x-2| + |x+1| -5=0
find x

Answers

Answer:

|x-2| + |x+1| -5=0

⇒|x-2| + |x+1|=5

⇒x-2+x+1=5

⇒2x=6

⇒x=3

Step-by-step explanation:

what is the domain of the function in the graph?

Answers

Answer:

6AJNSDJN

Step-by-step explanation:

All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.

Answers

Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Step-by-step explanation:

Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Therefore, the correct option is A.

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?

Answers

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.

Answers

Answer:

B = 64°

AB = 33.378

BC = 14.632

Step-by-step explanation:

Given the right angled triangle ;

Angle B = 180 - (90 + 26) (sum of angles in a triangle)

Angle B = 180 - 116

Angle B = 64°

Side AB = c

Using trigonometry :

Sin B = opposite / hypotenus

Sin 64 = 30/AB

AB = 30 / Sin64

AB = 33.378

Side BC ;

Sin A = BC / AB

Sin 26 = BC / 33.378

BC = 33.378 * Sin 26

BC = 14.632

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