What the correct answer now

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

Given

7 + (5 – 9)2 + 3(16 ÷ 8)

By using PEDMAS rule,

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= 7 - 8 + 6

= -1 + 6

= 5

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,

⇒ 29

Since, We knw that,

PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

We have to given that,

Expression is,

7 + (5 - 9)² + 3(16 ÷ 8)

Now, Simplify By using PEDMAS rule,

= 7 + (5 - 9)² + 3(16 ÷ 8)

= 7 + (-4)² + 3(2)

= 7 + 16 + 6

= 23 + 6

= 29

Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29

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Answer:

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

Step-by-step explanation:

f(x) = x^4 + 4

g(x) = x - 1

h(x) = sqrt(x)

g(h(x)) = sqrt(x) - 1

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

Answer:

The correct option is;

D. 6,5

Step-by-step explanation:

TS and TU are midsegments

Segment PR = 18.2

Segment TS = 6.5

Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR

Which gives;

Segment QR = 2×TS = 2 × 6.5 = 13

Segment QR = 13

Given that TU is a midsegment to PQ and QR, we have that QU = UR

Segment QR = QU + UR (segment addition postulate)

Therefore, QR = QU + QU (substitute property of equality)

Which gives;

QR = 2×QU

13 = 2×QU

Segment QU = 13/2 = 6.5

The length of segment QU is 6.5.

Answer:

  A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Step-by-step explanation:

The table with a constant ratio between A and B is the one with entries ...

  B/A = 2/1 = 4/2 = 6/3

The ratio is 2. The table is the last one described here.

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

128

Step-by-step explanation:

3a² - 4b

plug in values

3(-6)² - 4(-5)

use PEMDAS and simplify (-6)² first

3(36) -4(-5)

multiply

108 + 20

add

128

hope this helps :)

Answer:

the sign is positive

Step-by-step explanation:

to negatives make a positive.

and that last point you added is wrong two positives equals a positive.

different signs= negative

same signs=positive

Answer:

once upon a time a dude went to a store. there was a dude jacket for 20% off.

Step-by-step explanation:

Now do the opposite. for exapmle, the price increased by 20 %.

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

    Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )

A) [tex]9x + 3y = -3[/tex]

= [tex]y = -3x -1[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

~~~~~~~~

B) [tex]2x - y = -4[/tex]

= [tex]y = 2x + 4[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

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Also Have a great day/night!

❀*May*❀

Answer:

y= -3x-1 and y=2x+4

Step-by-step explanation:

1. Rearrange the equations to the proper format which would be y=mx+b.

2. You can do this by adding or subtracting on both sides

- start with the first equation. subtract 9x on both sides.

- than divide 3 on both sides

- next equation subtract 2x on both sides

- divide -1 on both sides

which would get you y=-1-3x and y= 4+2x.

3. reagrange this equation again ( this step isn't always necessary)

you will get y= -3x-1 and y=2x+4

Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.

Hope this helped!

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

a. Highest 10 percent

b. Middle 50 percent

Answer:

the weight that corresponds to  Highest 10% = 337.8

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Step-by-step explanation:

From the information provided for us:

we have the mean = 325

the standard deviation = 10

The objective is to find the weight that corresponds to each event  i.e for event (a) , highest 10%

So;

The probability of P (Z > z) = 10%

Same as:

0.1 = 1 - P( Z < z)

P( Z < z) = 1 - 0.1

P( Z < z) = 0.9

From the standard normal tables for z;

P( Z < 1.28) = 0.9

z = 1.28

Similarly. from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = (1.28 × 10) + 325

X = 12.8 + 325

X = 337.8

Therefore, the weight that corresponds to  Highest 10% = 337.8

b.  the weight that corresponds to  Middle 50 % can be computed as follows:

the region of z values at 0.50 lies between -0.674 and +0.674

from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = -0.674 × 10 + 325  and  X = 0.674 × 10 + 325

X = - 6.74 + 325   and      X = 6.74  + 325

X = 318.26  and    X = 331.74

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Answer:

351 pounds

288 x 3 = 864 pounds

864 - 261 - 252 = 351 pounds

Therefore (261 + 252 + 351)/3 = 288.

So the answer is 351 pounds

Answer:

The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes

Step-by-step explanation:

The given dependent and independent variables are;

The number of minutes spent by Nikki listening = x

The number of commercials aired = y

The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;

y = 0.338·x - 1.387

Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;

20 = 0.338·x - 1.387

20 + 1.387 = 0.338·x

0.338·x  =20 + 1.387 = 21.387

x =  21.387/0.338 = 63.275 minutes

The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.

Answer:

C. 63 minutes

Step-by-step explanation:

Answer:

b=13

Step-by-step explanation:

2|208

2|104

2|52

2|26

 |13

208=2^4×13=16×13

now (16,13)=1

as a is an even number so a=16

b=13

∵g.c.d of 16 and 13=1

or (16,13)=1

Answer:

4.331507 x 10⁶

Step-by-step explanation:

you move the decimal place 6 times to the right, so 10⁶

Answer:

Step-by-step explanation:

4,331,507=4.331507×10^6

Answer:

6 + 8x

46

Step-by-step explanation:

1. Write the expression

6 + 8x

2. Plug in 5 for x

6 + 8(5) → 6 + 40 = 46

Answer:

Expression=8x+6

The value of expression=46

Answer:

Nina can run:

13 1/2 km in 1 hour

Step-by-step explanation:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

proportions:

9/2 hours ⇔  1/3 hour

N hours ⇔ 1 hour

N = (9/2)*1 / (1/3)

N = (9/2) / (1/3)

N = (9*3) / (2*1)

N = 27/2

27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2

Nina can run:

13 1/2 km/h

13 1/2 km in 1 hour

Nina can run [tex]13\frac{1}{2}[/tex] km in an hour

The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3

Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]

[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]

Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km

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Answer:

Step-by-step explanation:

1) Diagonal bisect the angles of Rhombus

∠CAB = ∠CAD

∠CAB = 71

2) ∠DAB = ∠CAB + ∠CAD

 ∠DAB = 71 + 71 = 142

In Rhombus, adjacent angles are supplementary

∠DAB + ∠ABC = 180

142 + ∠ABC = 180

           ∠ABC = 180 - 142

         ∠ABC = 38

3)  In rhombus, opposite angles are congruent

∠ADC = ∠ABC

∠ABC = 38

In rhombus, diagonal bisect angles

∠BDC = (1/2)*∠ADC

∠BDC= 38/2

∠BDC = 19

4) Diagonals bisect each other at 90

∠DEC = 90

5) Diagonals bisect each other

BE = DE

BE + DE = DB

7x -2 +7x -2 =24   {add like terms}

        14x - 4 =24

              14x = 24+4

              14x = 28

                 x = 28/14

                 x = 2 m

6) AB = 13m

BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m

In right angle ΔAEB,  {use Pythagorean theorem}

AE² + BE² = AB²

AE² + 12² = 13²

AE² + 144 = 169

         AE² = 169 - 144

         AE² = 25

         AE = √25

        AE = 5 m

Diagonals bisect each other

AE = EC

AC = 2*5

AC = 10 m

7)Side = 13 m

Perimeter = 4*side

                  = 4*13

 Perimeter = 52 m

8) d1 = AC = 10 m

   d2 = DB = 24 m

Area = [tex]\frac{d_{1}*d_{2}}{2}[/tex]

         [tex]=\frac{10*24}{2}\\[/tex]

          = 10 *12

          = 120 m²

Answer:

2 teaspoons

Step-by-step explanation:

24 tsp/12 cups = x tsp /1 cup

Cross multiplying, we have:

12x = 24

x = 2

The solution is 2 teaspoons of cocoa

Number of teaspoons of cocoa is given by the equation A = 2 teaspoons

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of teaspoons of cocoa be represented as A

Now , the equation will be

A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk

So , for 12 cups of milk = 24 teaspoons of cocoa is required

And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12

Substituting the values in the equation , we get

Number of teaspoons of cocoa A = 24 teaspoons / 12

Number of teaspoons of cocoa A = 2 teaspoons

Therefore , the value of A is 2 teaspoons

Hence , the number of teaspoons is 2

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Answer:

It will increase by 9 units.

Step-by-step explanation:

We can write the lowest number as  10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.

Subtracting:

10(a + 1) + a - (10a + a +1)

= 10a + 10 + a - 10a - a - 1

= 10a - 10a + a - a + 10 - 1

= 10 - 1

= 9.

Greetings from Brasil...

Here we will apply rule of 3...

This formula, A = πR²,  its for the whole circle, that is, 360° (2π)

We want the area of only a part, that is, a circular sector whose angle π/6

 sector           area            

    2π     -----    πR²

    π/6    -----     X

2πX = (π/6).πR²

2πX = π²R²/6

X = π²R²/12π

If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6

A

Step-by-step explanation:

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

Answer:

[tex](xy+1)(xy-1)[/tex]

Step-by-step explanation:

x²y²-1

=(xy)²-(1)²

=(xy+1)(xy-1)

Hey there! I'm happy to help!

When building equations, the word "is" means "equals".

First, we have the sum of a number and six. You can use any letter to represent the number. I will use n.

(n+6)

We see that this is multiplied by 5. We can just put the 5 next to the parentheses. This shows multiplication.

5(n+6)

Is 48

5(n+6)=48

Have a wonderful day! :D

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

As per given, we have following equations:

x= 5- y as per the first equation, considering in second one:

Then:

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

Answer:

=2ab +abk -2m- mk

= ab(2+k) -m(2+k)

=(2+k)(ab-m)

Step-by-step explanation:

Answer:

8/10

Step-by-step explanation:

10x10 is 100 8x10 would be 80 so 80/100=8/10

Answer:

8/10 = 4/5

Step-by-step explanation:

0.8 is 8-10th which means 8 divided by 10

reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then

(8=2*4)/(10=2*5)

if 2 cancels out, then you are left with 4/5

Answer:

ok so

faf

Step-by-step explanation:

Factor 20x2 + 25x – 12x – 15 by grouping.

1. Group terms with common factors.

2. Factor the GCF from each group.

3. Write the polynomial as a product of binomials.

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(5x – 3)(

x +  

)

Answer:

D. 0.74.

Step-by-step explanation:

It is a BINOMIAL trial, which means that there are only two outcomes: either success, or failure.

So, if the probability of success is 0.26, the probability of failure will be 1 - 0.26 = 0.74.

Hope this helps!

Answer:

x = -1.5

Step-by-step explanation:

16x - 5 = 18x -2

Subtract 16x from each side

16x-16x - 5 = 18x-16x -2

-5 = 2x-2

Add 2 to each side

-5+2 = 2x-2+2

-3 = 2x

Divide by 2

-3/2 = 2x/2

-3/2 =x

Answer:

-3/2

Step-by-step explanation:

To solve this problem, start by moving all of your x's on to one side, and all of your constants on to the other as such:

16x-5=18x-2

     +2       +2

16x-3=18x

-16x    -16x

-3=2x

-3/2 = x

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