Look at the Example. How do you know that (-3/4)(-8a)+(-3/4)(-12) is equivalent to both -3/4(-8a-12) and 6a+9?
PLEASE HELP I WILL GIVE BRAINLIEST.

Look At The Example. How Do You Know That (-3/4)(-8a)+(-3/4)(-12) Is Equivalent To Both -3/4(-8a-12)

Answers

Answer 1

Step-by-step explanation:

To solve the problem [tex]-\frac{3}{4} (-8a-12)[/tex]

we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.

so [tex]-\frac{3}{4} * -8a, -\frac{3}{4} *-12[/tex]

This would equal

[tex]6a+9[/tex]

its pretty simple.

what may be confusing is the fraciton multiplication

to solve this we convert the -8 and -12 into a fraction. This would be

[tex]-\frac{8}{1} and-\frac{12}{1}[/tex]

and multiplying fractions is easy, u just do it straight across.

so 3 times 8 is 24 so this would be 24/4

and 24/4 simplified is 6

and 3 times 12 is 36

so it would be 36/4

this would equal 9 simplified

and since we are just multiplying all negative numbers here they all turn out to be positive numbers because you should know.  a negative times a negative equals a positive.


Related Questions

Camila is working two summer jobs, making $10 per hour lifeguarding and $6 per hour walking dogs. Last week Camila worked 5 more hours lifeguarding than hours walking dogs and earned a total of $114. Write a system of equations that could be used to determine the number of hours Camila worked lifeguarding last week and the number of hours she worked walking dogs last week. Define the variables that you use to write the system.

Answers

Let L = the numbers of hours lifeguarding

Let D = the number of hours walking dogs

Camila makes $10 per hour lifeguarding, so in L hours she will make 10L dollars. Camila makes $6 per hour walking dogs, so in D hours she will make 6D dollars. The total amount earned 10L+6D equals $114.

Since Camila worked 5 more hours lifeguarding than hours walking dogs, she worked more hours lifeguarding, so if we add 5 to the number of hours walking dogs, we will get the number of hours lifeguarding, meaning L equals D+5.

10L+6D=114

L=D+5

An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?​

Answers

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric consumption?

Answers

Answer:

30

Step-by-step explanation:

Subtract the 1023 reading from the 1053 one:  

1053

-1023

---------

     30

Her electric consumption was 30.

An experienced carpenter could build a house in 4 days. How much would he have finished if
he worked for 3 days?

Answers

Answer:

Percentage: 75%

Fraction: 3/4

Step-by-step explanation:

What is the value of the third quartile of the box plot shown?


39

39

25

25

20

20

19

19

Answers

Hello, I Am BrotherEye

Answer: Here is an Example On How To Solve Your Problem.

Step-by-step explanation:

Explanation:

29

,

33

,

36

,

37

,

39

,

40

,

41

The minimum is the lowest number in the data set.

Since it is listed from smallest to largest, we know that the minimum is

29

.

The median is the middle number. Cancel out

3

numbers from each side and we are left with the median:

29

,

33

,

36

,

37

,

39

,

40

,

41

Therefore, the median is

37

.

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

29

,

33

,

36

The number in the middle is

33

, so that is the first quartile.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

39

,

40

,

41

The number in the middle is

40

, so that is the third quartile.

The maximum is the highest number in the data set; it is

41

.

So here's the five-number summary:

Minimum: 29

First quartile: 33

Median: 37

Third quartile: 40

Maximum: 41

1. Solve for x
4x + 7 - 3 = 4x + 2x - 3
2. Solve for x
2+5x-2x=9x+8x - 4
3. Solve for m.
3+ 4m - 2 + 2m = 5 + 6 - 3m

Answers

Step-by-step explanation:

4x+4=6x-3

4=2x-3

7=2x

x=3,5

3x+2=17x-4

2=14x-4

6=14x

x=3/7

6m+1=-3m+11

9m+1=11

9m= 10

m=10/9

Need help ASAP

work out the value of 4y + 3x when x=5 and y=-3

( these are the only answers I can choose from)

A.32
B.-32
C.17
D.11

All support appreciated:)

Answers

Answer:

3

Step-by-step explanation:

4y+3x

4(-3)+3(5) Plug the numbers into the equation.

-12+15

3

Hope this helps and have an amazing day! ❤

What are the x-intercepts of the graph of y= (x - 2) (x – 4)?

Answers

Answer: The x-intercepts of the parabola are (2,0) and (4,0).

Step-by-step explanation:

Data set:6 numbers;median=14;mode=1

Answers

Answer:

Yes; what's the whole data set ?

Step-by-step explanation:

12 + 6 − 4 ÷ (2 + 5)

A. Divide 4 by 2.
B. Add 2 and 5.
C. Add 12 and 6.
D. Subtract 4 from 6.

Answers

PEMDAS: Parantheses first

Answer: B) Add 2 and 5.

What is 6.23 billion in scientific notation?

Answers

Answer:

6.23 E9

Step-by-step explanation:

1 Billion = 1 E9

6.23 billion = 6.23 E9

Leave a thanks and mark brainliest if this helped.

Leave a thanks and mark brainliest if this helped.

hey !! what's the answer ??

[tex] \sqrt{39 \times 13 \times 3} [/tex]

Answers

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

Help please! Im on my last question! 15 points.
Question below!

Answers

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the pyramid

Answers

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

Simplify:
3×5-1-(2² +6÷2)​

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3×5-1-(2^2+6÷2)

3×5-1-(4+6÷2)

3×5-1-(4+3)

3×5-1-7

15-1-7

14-7

7

1. A tourist sights the Hancock tower from the highway with an angle of elevation of 12°. If the

Hancock tower is known to be 1350 feet high, how far away is the tourist, to the nearest tenth?

Answers

Answer: [tex]6351.25\ ft[/tex]

Step-by-step explanation:

Given

Angle of elevation [tex]x=12^{\circ}[/tex]

Height of tower [tex]h=1350\ ft[/tex]

Suppose tourist is d feet away from the tower

from the figure, we can write

[tex]\Rightarrow \tan 12^{\circ}=\dfrac{1350}{d}\\\\\Rightarrow d=\dfrac{1350}{\tan 12^{\circ}}=6351.25\ ft[/tex]

Thus, the distance of tourist from the tower is [tex]6350.25\ ft[/tex]

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Answers

Given:

The inequalities are:

a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

After substituting the given values one by one, we get

[tex]-4.3<-8[/tex] False statement.

[tex]-5.3<-8[/tex] False statement.

[tex]-8.3<-8[/tex] True statement.

[tex]-9<-8[/tex] True statement.

Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].

b)

We have,

[tex]t>-25, t=-24, -25, -25.1, -27[/tex]

After substituting the given values one by one, we get

[tex]-24>-25[/tex] True statement.

[tex]-25>-25[/tex] False statement.

[tex]-25.1>-25[/tex] False statement.

[tex]-27>-25[/tex] False statement.

Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].

Ja'hones has pizza dough for making pizza. she separates the dough into three portions
listed below.

Portion A is 8.25 ounces
Portion B is twice as much as portion A
Portion C is twice as much as portion B

What is the weight, in ounces, of portion B and the weight, in ounces, of portion C?

Answers

Answer:

Portion B is 16.5 ounces.

Portion C is 33 ounces.

Step-by-step explanation:

Portion B.

8.25 * 2 = 16.5

Portion C.

16.5 * 2 = 33

Hope this helps! :)

hi! just remember that you are amazing and everything will be okay! never give up! you got this just take a deep breath and remember your worth!

Answers

Answer:

thank you for this inspiration

Step-by-step explanation:


Determine whether the series -20 + 100 - 500 + ... is convergent or divergent.
a. convergent
b. divergent
Please select the best answer from the choices provided

Answers

it's divergent, you can actually simplify this series by combining terms in pairs

Answer:

B

Step-by-step explanation:

practice on edg 2021

WILL REWARD BRAINIEST! A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm. Find the volume of the stone.

Answers

Answer:

102cm^3

Step-by-step explanation:

v=l×w×h

10x6x7=420 cm^3

the volume of water+stone=

10×6×(7+1.7)

522cm^3

522-420= 102cm^3

The solution is: the volume of the stone is : 102cm^3.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

Given that,

A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm.

We know that,

volume is :

v=l×w×h

so, we get,

10x6x7=420 cm^3

the volume of water+stone=

10×6×(7+1.7)

522cm^3

522-420= 102cm^3.

Hence, The solution is: the volume of the stone is : 102cm^3.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Please helpp with thiss

Answers

Answer:

I think it’s the second one, 70a+21b sorry if I’m wrong!

A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.

Answers

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

What is the average rate of change between Hour 1 and Hour 4? QUICKLY

Answers

Answer:

2%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?

Answers

Answer:

24

Step-by-step explanation:

34 messages per 12 minutes

68 is just 34 mulitplied by 2.

it would take you twice as long because there are twice as many messages.

12 minuted multipled by 2 is 24.

It would take you 24 minutes to send 34 messages.

Answer:

24 minutes

Step-by-step explanation:

34/12

68/x

34*2=68

12*2=24

helppp me plsssssssss

Answers

Answer:

The class 35 - 40 has maximum frequency. So, it is the modal class.

From the given data,

[tex]\sf \:\:\:\:\:\:\:\:\:\:x_{k}=35[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k}=50[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:h=5[/tex]

[tex] {\bf \:\: {By\:using\:the\: formula}} \\ \\ [/tex]

[tex]\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\ [/tex]

[tex]\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\ [/tex]

[tex]{\large{\frak{\pmb{\underline{Additional\: information }}}}}[/tex]

MODE

Most precisely, mode is that value of the variable at which the concentration of the data is maximum.

MODAL CLASS

In a frequency distribution the class having maximum frequency is called the modal class.

[tex]{\bf{\underline{Formula\:for\: calculating\:mode:}}} \\ [/tex]

[tex]{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\ [/tex]

Where,

[tex]\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.[/tex]

[tex] \small \blue{ \bigstar}[/tex][tex]\sf \: f_{k}=frequency\:of\:the\:modal\:class[/tex]

[tex]\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class[/tex]

[tex]\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class[/tex]

[tex] \small \purple{ \bigstar}[/tex][tex]\sf \: h= width \:of\:the\:class\:interval[/tex]

When a system of two linear equations has no solution, how do the graphs of the equations appear?​

Answers

Answer:

parallel lines that never intersect.

Step-by-step explanation:

When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations

2x - y = 2

4x - 2y = 8

These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.

The expression (x^3)(x^-17) is equivalent to x^n. What is the value of n?

Answers

Answer:

n = -14

Step-by-step explanation:

when multiplying bases, add their exponents

which set of ordered pairs could be generated by an exponential function

Answers

Answer:

Option C represents an exponential function

Step-by-step explanation:

Generally, we have an exponential function in the form ;

y = a.b^x

Where in fact, a is not 0

In this case, let us have a as 1 and b as 2

So we have;

for x = -1

y = 2^-1 = 1/2

for x = 0

y = 2^0 = 1

for x = 1

y = 2^1 = 2

for x = 2

y = 2^2 = 4

So the correct choice here is the third option

Please help it's for my sister

Answers

A and d is the one I would pick
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