Find the difference between8/15 and −2/3. Show all calculations in your final answer.

Answers

Answer 1

Answer:

6/5

Step-by-step explanation:

8/15 - (-2/3)

8/15 + 2/3

24 + 30/45

54/45 = 6/5

Thus, the difference between 8/15 and -2/3 is 6/5

Answer 2
(8/15) - (-2/3)

Start by changing the minus a negative to plus a positive.

So we have 8/15 + 2/3.

To add these two fractions together, we need a common denominator.

The common denominator is simply the

least common multiple for the two denominators.

You should find that the least common multiple is 15.

Since 8/15 already has 15 as its denominator, leave it.

To get a denominator of 15 in 2/3, we multiply top

and bottom of 2/3 by 5 to get 10/15.

So we have 8/15 + 10/5.

This simplifies to 18/15.

Now reduce to get 6/5.


Related Questions

Please answer this question now

Answers

Answer:

48°

Step-by-step explanation:

arc BC = 136(2) -145 = 127

arc DC = 83(2) - 127 = 39

arc AD = 360 - 145- 127 - 39 = 48

Answer:

49 degrees

Step-by-step explanation:

Measure of arc ABC = 116*2 = 232 degrees.

Measure of arc BC = 232-145 = 87 degrees.

Measure of arc BCD = 83*2 = 166 degrees.

Measure of arc DC = 166-87 = 79 degrees.

Measure of arc AD = 360 - (145+87+79) = 360 - 311 = 49 degrees

need help will give you a good rating

Answers

Explanation : As you can see, [tex]\sqrt{-16}[/tex] is not a real number, and hence should be expressed as 4[tex]i[/tex], [tex]i[/tex] being an imaginary number. Respectively [tex]\sqrt{-64}[/tex] will be 8[tex]i[/tex]. Therefore this expression boils down to [tex]\left(3+4i\right)\left(6-8i\right)[/tex]. All we have to do from now on is expand this expression.

Apply the rule [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex], in this case where [tex]a=3,\:b=4,\:c=6,\:d=-8[/tex],

[tex]\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i[/tex]

Let's simplify each part, [tex]3\cdot \:6-4\left(-8\right)[/tex] and [tex]3\left(-8\right)+4\cdot \:6[/tex]. Afterwards we can add [tex]i[/tex], and refine.

[tex]3\cdot \:6-4\left(-8\right) = 50[/tex] ; [tex]3\left(-8\right)+4\cdot \:6 = 0[/tex]

Therefore our simplified expression will be [tex]50+0i[/tex], otherwise known as just 50. That is our solution.

Answer:

Step-by-step explanation:

Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age

Answers

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

[tex]x = y + z + 2[/tex], which is option B.

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

Jacob's age is given by x.Becky's age is given by y.Micah's age is given by z.Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

[tex]x = y + z + 2[/tex]

Which is given by option B.

A similar problem is given at https://brainly.com/question/24233433

The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago

Answers

Answer:

After 6 years = 87120 people.

Before 6 years = 5808 people.

Step-by-step explanation:

To calculate how many populations that are added in every 10% in 3 years:

72600 × 10/100 = 7260

After 6 years = 72600 + 7260 × 2 = 87120 people.

Before 6 years = 72600 - 7260 × 2 = 5808 people.

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.

5x2 + 27x = 14 − 13x

5x2 + 40x = 14

5(x2 + 8x) = 14

Which is the best step to do next to solve the equation by completing the square?

Answers

Answer:

Step-by-step explanation:

Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.

Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.

5x² + 27x +13x= 14 − 13x+13x

5x² + 40x = 14

Step 2: factor out the common constant in the left hand side of the equation.

5(x²+8x) = 14

Step3: The next step to take is to divide through by the the value of 5 to have;

5(x²+8x)/5 = 14/5

x²+8x = 14/5

Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²

x²+8x +4² = 14/5+4²

x²+8x +16 = 14/5+16

(x+4)² = 94/5

Step 5: Taking the square root of both sides

√(x+4)² = ±√94/5

x+4 = ±√94/5

Step 6: subtract 4 from both sides

x+4-4 = ±√94/5 - 4

x = ±√94/5 - 4

Hence the solution to the equation using completing the square method is x = -4±√94/5

Answer:

5(x2 + 8x + 16) = 94

Step-by-step explanation:

25 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!

What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

To divide 2635 by 17 using long division method, we simply do the following:

2635 ÷ 17

17 can not go into 2. Therefore, we try 17 into 26, keeping 35 constant.

26 ÷ 17 = 1

Put the 1 on top.

Multiply 17 by 1

17 x 1 = 17

Subtract 17 from 26

26 – 17 = 9

Put the 9 in from of 35 to become 935

Next:

935 ÷ 17

17 can not go into 9. Therefore, we try 17 inot 93 keeping 5 constant.

93 ÷ 17 = 5

Put the 5 on top together with the 1 to become 15.

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 93

93 – 85 = 8

Put the 8 in front of 5 to become 85

Next:

85 ÷ 17

17 can not go into 8. Therefore, we try 85

85 ÷ 17 = 5

Put the 5 on top together with 15 to become 155

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 85

85 – 85 = 0

Since no number is remaining, we shall stop here.

Therefore,

2635 ÷ 17 = 155

Please attached photo for further details.

Combine the radicals. 3√5-8√5+2√5

Answers

Answer:  [tex]-3\sqrt{5}[/tex]

-3 times the square root of 5

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

Explanation:

Let [tex]x = \sqrt{5}[/tex]

Replace all the root 5 terms with x and we go from

[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]

to

[tex]3x-8x+2x[/tex]

From here, combine like terms to get

[tex]3x-8x+2x = -5x+2x = -3x[/tex]

and the last thing to do is replace the x with sqrt(5)

[tex]-3x = -3\sqrt{5}[/tex]

Meaning that,

[tex]3x-8x+2x = -3x[/tex]

[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]

Please help! Urgent! Will mark Brainliest!

Answers

Answer:

[tex]x = 15[/tex]

Step-by-step explanation:

Since lines f and g are parallel, that means that the top angles will be the same, while the bottom angles will also be the same.

The angles of any quadrilaterals all add up to 360°, so we can create the equation like this:

[tex]3x + 3x + (6x + 45) + (6x+45) = 360[/tex]

Combine like terms so we can get a simpler equation:

[tex]6x + 12x + 90 = 360\\18x + 90 = 360[/tex]

Now let's solve for x!

[tex]18x + 90 - 90 = 360 - 90\\18x = 270\\18x\div18 = 270\div18\\x = 15[/tex]

So [tex]x = 15[/tex].

Hope this helped!

Answer:

15

Step-by-step explanation:

3x + 6x + 45 = 180

9x = 135

x = 15

A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?

Answers

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)

The sum of two numbers is negative thirty. One number is five times the other

Answers

Answer:

-25, -5

Step-by-step explanation:

Let's write a system of equations. Lets call x and y the numbers, where x is 5 times y.

x + y = -30

x = 5y

Plugging this in, we get:

5y + y = -30

y = -5

Since y = -5, we can plug this in, and see that x = -25.

Answer:

-5 & -25

Step-by-step explanation:

1st number=x

2nd number=5x

x+5x=-30

6x=-30

x=-5

5x=-25

So the numbers are -5 & -25

Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of meat to make enough sandwiches. The ham costs $6 per pound, and the turkey costs $7 per pound. He writes the system of inequalities shown to model h, the number of pounds of ham, and t, the number of pounds of turkey, he can buy.

Inequality 1: h + t > 8

Inequality 2: 6h + 7t ≥ 50

Which inequality did Gamal write incorrectly, and how can it be corrected?

Inequality 1 is incorrect; it should be h + t ≤ 8.
Inequality 1 is incorrect; it should be h + t > 50.
Inequality 2 is incorrect; it should be 6h + 7t ≤ 8.
Inequality 2 is incorrect; it should be 6h + 7t ≤ 50.

Answers

Answer:

its d  

Step-by-step explanation:

6h + 7t should be less than or equal to 50 because that is all the money he has to spend

Answer:

Inequality 2 is incorrect; it should be 6h + 7t ≤ 50.

Step-by-step explanation:

Inequality 1: h + t > 8  this is correct we need more than 8 lbs of meat

Inequality 2: 6h + 7t ≥ 50

This is incorrect.  This states he must spend 50 or more dollars

6h + 7t ≤ 50

This is 50 or less dollars being spent

Write an expression that can be used to find the price of a television that is on sale for 20% off the regular price of p dollars. Can you write a second expression equivalent to the one you wrote in the last questions.

Answers

Answer:

The expression that could help calculate the price of the TV is;

$P - 20% of $P

Step-by-step explanation:

Here, we want to write an expression that corresponds to the price of a television set that is on sale at a price which is 20% off the regular price.

From the question, we can see that the regular price is $P

So now we are having 20% off;

This corresponds to;

20/100 * p = p/5 = 0.2p

So in the expression form, we can have;

$P - 20% of $P

Find the distance d dd between z 1 = ( 6 + 2 i ) z 1 ​ =(6+2i)z, start subscript, 1, end subscript, equals, left parenthesis, 6, plus, 2, i, right parenthesis and z 2 = ( 6 + 10 i ) z 2 ​ =(6+10i)z, start subscript, 2, end subscript, equals, left parenthesis, 6, plus, 10, i, right parenthesis. Express your answer in exact terms and simplify, if needed. D =

Answers

Answer:

8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = z₁(6, 2) and (x₂, y₂ ) = z₂(6, 10)

d = [tex]\sqrt{(6-6)^2+(10-2)^2}[/tex]

   = [tex]\sqrt{0^2+8^2}[/tex]

   = [tex]\sqrt{64}[/tex] = 8

A finite geometric series is the sum of a sequence of numbers. Take the sequence 1, 2, 4, 8, … , for example. Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2n–1. One way to write the sum of the sequence through the 5th number in the sequence is ∑5n-12n-1. This equation can also be written as S5 = 20 + 21 + 22 + 23 + 24. If we multiply this equation by 2, the equation becomes 2(S5) = 21 + 22 + 23 + 24 + 25. What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?

Answers

hope this helps you alot

What property is demonstrated here? (3x-5) x 4 = 3 x (-5 x 4) A) commutative property of addition B) associative property of multiplication C) commutative property of multiplication D) associative property of addition (haven't learned this yet so I have no clue)

Answers

Answer:

B) Associative Property of Multiplication

Step-by-step explanation:

*if it's wrong idk how, but I apologise*

Can you please Solve for x

Answers

x - 3 = 27

add three to both sides

then x= 30

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         Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]x-3=27[/tex]

Step 1: Add 3 to both sides.

[tex]x -3 + 3 = 27 +3[/tex]

[tex]x = 30[/tex]

So the answer is : [tex]x = 30[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

how many are 3 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{9}[/tex]

Step-by-step explanation:

3 raised to 2 is 3 to the power of 2.

[tex]3^2 =3 \times 3 = 9[/tex]

3 is multiplied by itself.

The graph of y=√x is translated 5 units to the left and 7 units up. What is the equation of the graph that results from this translation?

Answers

Answer: sqrt(x+5)+7.

If you have a function y=f(x-h)+k, where f is a base function, h is a horizontal translation, and k is a vertical translation:

To shift 5 units to the left and 7 units up, h must be -5, and k must be 7. So the equation is f(x+7)+k=sqrt(x+5) + 7.

Answer:

y = [tex]\sqrt{x+5}[/tex] + 7

Step-by-step explanation:

Given the graph of f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then a shift to the left of k units

• If k < 0 then a shift to the right of k units

Thus a translation of 5 units to the left

y = [tex]\sqrt{x+5}[/tex]

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus

y = [tex]\sqrt{x+5}[/tex] + 7 ← translated equation

Determine the intercepts of the line. − 3 x − 4 = − 5 y − 8

Answers

Answer:

x-intercept(s):  

( 4/ 3 , 0 )

y-intercept(s):  

( 0 ,  − 4 /5 )

Step-by-step explanation:

Answer:

vertical intercept: (0 , (-4/5))

Step-by-step explanation:

substitute x=0

-3 * 0 - 4 = -5y - 8

y= -4/5

alternative form

y= 0.8

Given quadrilateral MATH is similar to quadrilateral ROKS calculate the value of MH Picture is below

Answers

Answer:  MH = 7

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

Explanation:

The double tickmarks for quadrilateral MATH show that MA = TH. Since TH is 5 units long, this makes MA the same length as well.

For quadrilateral ROKS, we have RO = 15. For "MATH" and "ROKS" we have "MA" and "RO" as the first two letters of each four-letter sequence; meaning that MA and RO correspond together.

The ratio of the corresponding segments is RO/MA = 15/5 = 3.

The larger quadrilateral has each side length 3 times longer than the smaller quadrilateral's corresponding side lengths.

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

In short,

larger side = 3*(smaller side)

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

Using this scale factor of 3, we can find MH

larger side = 3*(smaller side)

RS = 3*(MH)

21 = 3*MH

3*MH = 21

MH = 21/3

MH = 7

mm
a
Solve this system of equations using substitution:
y = 2x-4
x + 2y = 10
Step 1: Substitute for hin the second equation. Which is
the resulting equation?
2x - 4 = 10
x + 2x - 4 = 10
x + 2(2x - 4) = 10

Answers

Answer:

x + 2(2x-4) = 10

Step-by-step explanation:

Here in this question, we want to select which is the correct answer if we substitute for the value of y in the second equation, using the first.

In the first, we have;

y = 2x -4

Now, let’s input this value of y into the second equation.

By direct substitution, what we have is the following;

x + 2y = 10

—-> x + 2(2x -4) = 10

{3, 6, 9, 12, 15, 18, 21, ...)

Answers

Answer:

Below

Step-by-step explanation:

5)

The sequence includes the terms 3,6,9,12,15.. and so on

Notice that each time we add 3.

The first term is 3.

We can see it in a different way

● 3 = 3×1

● 6 = 3×2

● 9 = 3×3

● 12 = 3×4

Let 1 be n. Notice what happens

● 3 = 3n

● 6 = 3 × (n+1)

● 9 = 3 × (n+2)

● 12 = 3 × (n+3)

So we can express it as.

● a1 = 3 × 1 =3

● a2 = 3×2 =6

● a3 = 3×3 = 9

So the third term is a3 wich is 9

● a6 = 3×6 = 18

So the sixth term is 18 .

■■■■■■■■■■■■■■■■■■■■■■■■■■

6)

the sequence is defined by:

● f(n-1) = -0.5 f(n)

Repalce n-1 with n and n with n+1

● f(n) = -0.5 f(n+1)

So to get a term you must multiply the next one by -0.5

The first term in the sequence is 120.

● 120 = -0.5 f(n+1)

● f(n+1) = 120/-0.5

● f(n+1) = -60

So the second term is -60

waht is the gcf of 4x^5 + 7x^3

Answers

Answer:

Step-by-step explanation:

4x^5 + 7x^3

x^3(4x^2 + 7)

The GCF is x^3

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b

Answers

Answer:

c.

Step-by-step explanation:

From the last row in the matrix z = 1.

From the second row:

y + 5z = -4

y = -4 -5(1) = -9.

From the first row:

x + -1 = -3

x = - 3 + 1

x = -2.

Find the LCM of
[tex]8 {x}^{5} {y}^{3} {z}^{2} [/tex]
and
[tex]14 {x}^{3} {y}^{2} z[/tex]

Answers

Answer:

Step-by-step explanation:

8: 8, 16, 24, 32, 40, 48, 56

x^5y^3z^2

14: 14, 28, 42, 56

x^3y^2z

the LCM is 56x^5y^3z^2

I need help It’s honors 7 math pls help

Answers

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

tolong donk cari apa jawabannya ​

Answers

Answer:

= 49

Step-by-step explanation:

[tex]\frac{-7^{7} }{-7^{5} }[/tex]

= -7⁷⁻⁵

= -7²

= -7*-7

= 49

Find the value of x.
ASAP!!

Answers

Answer:

x = 80

Step-by-step explanation:

Tangent Chord Angle  =1/2 Intercepted Arc

40 = 1/2 x

80 = x

what is 3/8 as a proportional ratio fraction

Answers

It can be 12/32, 6/16, and a lot others. just multiply the same numbers for both the numerator and denominator.

In a previous​ poll, ​% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the significance level.

Answers

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Step-by-step explanation:

The complete question is: In a previous​ poll, ​46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.

Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.

So, Null Hypothesis, : p 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}

Alternate Hypothesis, : p < 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that will be used here is One-sample z-test for proportions;

                             T.S.  =    ~  N(0,1)

where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44

           n = sample of adults with children under the age of 18 = 1081

So, the test statistics =    

                                   =  -1.32

The value of z-statistics is -1.32.

Also, the P-value of the test statistics is given by;

                    P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)

                                  = 1 - 0.9066 = 0.0934

Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

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