Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]


Related Questions

Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?

Answers

$65.91 should be the account balance at the end of the month

Determine if the conditional statement is true or false given the following: p is false. q is false. Is -q -p true or false?

Answers

Hello,

if p is false then ~p is true

if q is false then ~q is true

if ~p is true and ~q is true then ~q and ~p is true

Mark rolls a fair dice 48 times. How many times would Mark expect to roll a one?

Answers

Answer:

8 Times, Mark would expect to roll a one 'Eight times'

60
What is the value of x in the equation x - y = 30, when y= 15?
O. 4
O. 8
O. 80
O. 200

Answers

Answer:

Step-by-step explanation:

x - y = 30

Substitute 15 for y.

x - (15) = 30

Add 15 to both sides.

x = 45

What should the follow equations is equivalent to 6.87p+9.2=-7.056

Answers

Answer:

P=-2.3662299854

Step-by-step explanation:

6.87p = - 7.056 -9.2

So 6.87p= - 16.256

P=-2.3662299854

Evaluate the expression,
32 +6*22-42=23

Answers

Answer:

d

Step-by-step explanation:

What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a

Answers

Answer:

she would need annual breast cancer screening with mammograms.

Step-by-step explanation:

hope this helps! hope you have a nice day.

help plsssssssssssss i really need helpppp

1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]0 \to[/tex] Correct

[tex]1 \to[/tex] Defective

Required

The probability that the next is defective

The question is incomplete because the list of bottles that came out is not given.

However, the formula to use is:

[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]

Take for instance, the following outcomes:

[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]

We have:

[tex]Total = 14[/tex]

[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's

So, the probability is:

[tex]Pr = 9 \div 14[/tex]

[tex]Pr = 0.643[/tex]

Answer:

1/20

Step-by-step explanation:

000000000000100000

It is asking the probability of a defective bottle

there is one defective bottle out of 20

Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c

Answers

Answer:

B

Step-by-step explanation:

C=pi×d

C÷pi = Pi×d÷Pi

C/pi=d

Answer:

B

Step-by-step explanation:

Given

C = πd ( isolate d by dividing both sides by π )

[tex]\frac{C}{\pi }[/tex] = d

Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is

Answers

............................

...............................................................................................................................................................................................................................................................................................................

What is the next term in the sequence below?
-324,108,-36,12

Answers

Answer:

-4

Step-by-step explanation:

bc it is

.......................

Evaluate function from their graph

Answers

Answer:

f(-5) = 7

Step-by-step explanation:

f(-5) means find the y value when x = -5

y = 7 when x = -5

Pls answer this pls pls

Answers

1) 520

2)60

3)2600

4)3760

Answer:

1. 520

2. 60

3. 2600

4. 3760

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2

Answers

Answer:

let

diagonal 1=6cm

diagonal 2=10cm

Area of rhombus=½*diagonal 1*diagonal 2=½*6*10

=30cm²

Answer:

Area of rhombus is 30cm².

Step-by-step explanation:

A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.

Solution :-

Let us assume that

[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]

Finding the area of rhombus

Using Formula :-

Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]

Substitute the values of both diagonals.

Area of rhombus = ½ × 6cm × 10cm

Multiply the numbers

Area of rhombus = ½ × 60cm²

Divide we get ,

Area of rhombus = 30 cm

Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) Q(x) . (Divide using long division.)

Answers

Complete question:

Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) ÷ Q(x) . (Divide using long division.)

Answer:

[tex]\frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]

The quotient = x²  + 6 and the remainder = - 9

Step-by-step explanation:

Given;

Q(x) = 7x − 3

P(x) = 7x³ − 3x² + 42x − 27

To divide P(x) by Q(x) using long division, we apply the following method;

                                 

                                      x²  + 6

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

                  7x − 3   √ 7x³ − 3x² + 42x − 27

                               − (7x³ - 3x²)

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

                                               42x − 27

                                           − (42x  − 18)

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

                                                       − 9

[tex]Therefore, \ \frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]

The quotient = x²  + 6 and the remainder = - 9

                               

3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70​

Answers

Answer:

Option C.

Step-by-step explanation:

For a given set of N elements:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the variance is given by:

[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]

Then for our set:

{70, 80 ,75, 75, 80}

We have 5 elements, then N = 5

The first thing we need to find is the mean.

[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]

Then the variance will be:

[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]

The correct option is C, 14.

Question is in the photo*

Answers

Answer:

3x - y +5=0

Step-by-step explanation:

Slope:-

=> m = 2-8/-1-1 = -6/-2

=> m = 3

Using point slope form :-

=> y - 2 = 3 ( x - (-1))

=> y - 2 = 3x + 3

=> 3x - y +5 = 0

Answer:

y=3x+5

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8

8-2/1-(-1)

=3

therefore the gradient is 3

after finding the gradient use the equation

y-y1=m(x-x1)

substitute x1,y1 and the gradient..y and x are constant

y-2=3(x-(-1))

y-2=3x+3

y=3x+3+2

y=3x+5

at a grocery store, an uncooked beef roast is on sale for $5.99/lb. At the same grocery store, prepared roast beef is available at the deli for $2.99/100g. How much more expensive is the deli roast compared to the uncooked roast?

Answers

Answer:

$7.58/lb

Step-by-step explanation:

raw roast: $5.99 per lb

deli roast: $2.99 for 100g

We know the price per lb of the raw roast.

Let's find the price per lb of the deli roast.

1 lb = 454 grams

454 grams / 100 grams = 4.54

1 lb is 4.54 times 100 g

If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.

$2.99/lb * 4.54 = $13.57/lb

raw roast: $5.99/lb

deli roast: $13.57/lb

difference in price of 1 lb: $13.57 - $5.99 = $7.58

Answer: $7.58/lb

Answer:

.01669 $/g or $7.57 $/lb

Step-by-step explanation:

$2.99/100g = .0299 $/g

1 lb = 453.59237 g.

$5.99/453.59237 g= .0132$/g

Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill each small engine tank he owns. How many small engine tanks does Harvey own? (give a reason) who ever helps me thank you

Answers

Answer:

10

Step-by-step explanation:

the small engine tanks that Harvey have = 5 ÷ ½ = 10

Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?

Answers

Answer:

can you show the equations?

how many 20p coins in £4

Answers

Answer two 20p coins make 40p

Step-by-step explanation:

Answer:

20 number of 20p makes £4.

Step-by-step explanation:

Let the number of 20p be x

Therefore,

                [tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]

what is the measure of 2?

Answers

Answer:

Value of x:

[tex]{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\ { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7[/tex]

Finding m‹2 :

[tex]{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}[/tex]

Answer:

m∠2 = 50

Step-by-step explanation:

7x + 1 and 18x + 4 are angles in a linear pair.

Sum of linear pair angles is supplementary.

7x + 1 + 18x + 4 = 180

7x + 18x + 1 + 4 = 180

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 175 / 25

x = 7

Substitute x = 7 in 7x + 1,

7x + 1

= 7 ( 7 ) + 1

= 49 + 1

= 50

7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.

∠2 = 7x + 1

∠2 = 50

Finish solving the system of equations.

x – 5y = 6

–x + 2y = –3

–3y = 3

What is the value of y?


Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?

Answers

Answers:  x = 1 and y = -1

Explanation:

Start where your teacher left off, which is -3y = 3.

We solve for y by dividing both sides by -3

That turns -3y = 3 into y = -1

Then we use this y value to find x

x - 5y = 6

x - 5(-1) = 6

x + 5 = 6

x = 6-5

x = 1

The solution is (x,y) = (1, -1)

Answer:

-1,1

Step-by-step explanation:

The difference between $500.02 - $79.3 add explanation if possible

Answers

Answer:

420.72

Step-by-step explanation:

The answer is $420.72. I mean just subtract it as if they’re numbers with decimals? $500.02-$79.3. If you were to give a kid who just learned simple subtraction with money, they wouldn’t know how to do this, they will know if you add a 0 behind $79.3, which makes it $79.30

Given a list of candy in a field called Item and prices called Price on an empty PivotTable, how would you find out how many of each type of candy you have?

Answers

Answer:

Drag Item to both the VALUES and the ROWS area

Step-by-step explanation:

To find out how many of each type of candy you have; Drag Item to both the VALUES and the ROWS area

Evaluate –3 2nd power + (2 – 6)(10).

Answers

Answer:

-49

Step-by-step explanation:

-3^2=-9

(2-6)*10=-40

(-9) + (-40) = -49

-31
9 + (-4) (10)
9+ (-40)
-31

I have like no clue what this means, please help! :)

Answers

Answer:

1/9

You are being asked to "complete the square"

you need to find a value to make the quadratic a "perfect square:

the focus is -2/3 you need to "add" one half of -2/3 squared to the

equation (1/2 * -2/3)^2 .... (-2/6)^2 .... 4/36 .... 1/9

Step-by-step explanation:

Solve the inequality. q/3 < 11

Answers

Answer:

[tex]q < 33[/tex]

Step-by-step explanation:

[tex] \frac{q}{3} < 11[/tex]

[tex]q < 11 \times 3[/tex]

[tex]q < 33[/tex]

Hope it is helpful....

Answer:

33

Step-by-step explanation:

q/3<11

q=11×3

q=33

:. The answer is 33.

The difference of a number and seven is twelve

Write an equation to represent the sentence

Answers

Answer:19 You can use addition 12+7=19 19-7=12

Other Questions
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