What’s this polynomial in standard form

Given :

Number of hours studied daily , [tex]T=5\dfrac{2}{3}[/tex] .

Time given for science and mathematics is , [tex]t=2\dfrac{4}{2}[/tex] .

To Find :

How much time does she devote for other subjects .

Solution :

Let , time devote for other student is x .

So , Time left for other subject = Total time - Time taken by science and mathematics .

[tex]x=T-t\\\\x=5\dfrac{2}{3}-2\dfrac{4}{2}\\\\x=\dfrac{(5\times 3)+2}{3}- \dfrac{(2\times 2 )+4}{2}\\\\x=\dfrac{17}{3}-4\\\\x=\dfrac{17-(4\times 3)}{3}\\\\x=\dfrac{5}{3}=1\dfrac{2}{3}[/tex]

Therefore , time devote for other subject is [tex]1\dfrac{2}{3}[/tex] hours .

Hence , this is the required solution .

Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

Answer:

20 is 1/10 of 200

Step-by-step explanation:

20* 10 = 200

Answer:

the answer is 200/1

Start with out given statement:

Line KM bisects <JKL and the reason for that is because it's given.

For statement 2, we know that m<JKM = m<MKL

because of the definition of an angle bisector.

For statement 3, we can use the angle addition

postulate to get m<JKM + m<MKL = m<JKL.

For statement 4, we use substitution from

the info in statement 2 to get m<MKL + m<MKL = m<JKL.

For statement 5, we simplify to get 2(m < KML) = m<JKL.

For statement 5, we use the division property of equality.

All the reasons are underlined.

Answer:

complex solutions:  x = -7 ± i√2

Step-by-step explanation:

[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]

[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex]    means NO REAL SOLUTIONS  (as there is no real √[-8])

However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]

The slope of the linear function is negative

The graph is a linear function that has the following property:

The above highlight implies that the slope of the line is negative

Hence, the true statement is (2) Negative

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Answer:

Negative

Step-by-step explanation:

Edge

Answer:

263,267

Step-by-step explanation:

473/2 is 263.5 and so just add .5 to one and subtract .5 from the other

Answer:

Step-by-step explanation:

We are expected to solve for the change given the following values of x

0,h

so we substitute x= 0 and x=h in the given expression, get the result, and subtract the results from each other

for x=0

[tex]g(x) = 4 x + 7\\\\g(0)=4(0)+7\\\\g(0)=0+7\\\\g(0)=7[/tex]

for x=h

[tex]g(x) = 4 x + 7\\\\ g(h)=4(0)+7 \\\\g(h)=4h+7 \\\\g(h)=4h+7[/tex]

The change would be

[tex]g(h)-g(0)= (4h+7)-7\\\\g(h)-g(0)= 4h+7-7\\\\g(h)-g(0)= 4h[/tex]

Answer:-3

Step-by-step explanation:

Answer:

-11/5

Step-by-step explanation:

-4/5 - 7/5 = (-4-7)/5 = -11/5

Answer:

X = - 7/2 or -6

Step-by-step explanation:

2x^2 + 19x + 40 = -2

2x^2 +19x + 40+2 = 0

2x^2 + 12x +7x+42= 0

2x(x+6) 7(x+6) =0

(2x+7) (x+6) = 0

2x+7 = 0

2x = -7

2x÷2=-7÷2

X= -7÷2 and

X+6=0

X=-6

Answer: x = 2y

Step-by-step explanation:

Let's solve for x.

2(3x+4y)=4x+12y

Step 1: Add -4x to both sides.

6x+8y+−4x=4x+12y+−4x

2x+8y=12y

Step 2: Add -8y to both sides.

2x+8y+−8y=12y+−8y

2x=4y

Step 3: Divide both sides by 2.

2x

2

=

4y

2

x=2y

Answer:

x=2y

Solve for x

2 ( 3x + 4y ) = 4x + 12y

6x + 8y = 4x + 12y

6x + 8y - 4x = 12y

2x + 8y = 12y

2x = 12y - 8y

2x = 4y

2x / 2 = 4y / 2

x = 4y / 2

x = 2y

Sorry if I'm wrong

Answer:

the lines are sinceatect

Step-by-step explanation:

Answer:

3 * 1.4 = 4.2

Answer:

x= 3, y=0, z= 1

Step-by-step explanation:

Let's label the 3 given equations first.

2x +3y +4z= 10 -----(1)

3x +2y -4z= 5 -----(2)

x +4y +2z= 5 -----(3)

(1) +(2):

This is to eliminate the z term.

2x +3y +4z +3x +2y -4z= 10 +5

5x +5y= 15

Divide by 5 on both sides:

x +y= 3 -----(4)

(3) ×2:

2x +8y +4z= 10 -----(5)

(2) +(5):

This is to eliminate z term.

3x +2y -4z + 2x +8y +4z= 5 +10

5x +10y= 15

Divide by 5 throughout.

x +2y= 3 -----(6)

(6) -(4):

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

x +2y -x -y= 0

y= 0

subst. y=0 into (4):

x +0= 3

x= 3

subst. x=3, y=0 into (3):

3 +4(0) +2z= 5

3 +2z= 5

2z= 5 -3

2z= 2

z= 2÷2

z= 1

Answer:

im pretty positive its divide  1,000 by 775, correct me if im wrong.

Answer: It is A multiply .775 by 100 to get 77.5

Step-by-step explanation:

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

[tex]n=\dfrac{128}{16}\\\\n=8[/tex]

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

Answer:

-5a + 9b

Step-by-step explanation:

- (5a - 9b)

Distribute the minus sign

-5a + 9b

Answer:

x = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]

Answer:

1.4

Step-by-step explanation:

you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms

Answer:

1.4

Step-by-step explanation:

Answer:

The shortest driving distance between stadium and high schools is 5.831 units.

18 + 3r

3      3

6  +  r

3(r+6)

Answer:

D. 280miles

*Step by step explanation*

miles= 160miles × 7gallons / 4 gallons

miles = 280 miles

Answer:

Step-by-step explanation:

12z - 3 > 27z - 15

-15z - 3 > -15

-15z > -12

z < 12/15= 4/5

Kerry will earn $244.50 in total.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Kerry charges $25.50 per lawn to cut grass on Saturdays

and $28.50 per lawn to cut grass on Sundays.

If 4 lawns cuts in Saturday then the charges would be

=25. 50 x 4

=102

and, If 5 lawns cuts in Sunday then the charges would be

=28. 50 x 5

=142.5

Hence, the total she will earn 244.50.

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Answer:

since they are corresponding angle

(6x)°= (5x =10)°

or (6x) - (5x) = 10°

x = 10°

Answer: Directly proportional relationships they always pass through the origin (0,0). There are other linear relationships that dont pass through the origin.

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The sum of {(-7/2z) + 4} + (1/5z) - 15}.

= (-7/2z) + (1/5z) + 4 - 15.

= (-14 + 2)/10z - 11.

= - 12/10z - 11.                                    (LCM of 2z and 5z is 10z)

= - 6/5z - 11.

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Answer:

B: 200

Step-by-step explanation:

The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition

The square root has a value between 13.8 and 14.5 is 200.

Option (B) is correct.

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Given:

The square root has a value between 13.8 and 14.5.

We have to find the square root has a value between 13.8 and 14.5.

According to given question we have

[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]

So, the square root has a value between 13.8 and 14.5 is 200.

when plugged into the perimeters 13.8<x<14.5.

Therefore, the square root has a value between 13.8 and 14.5 is 200.

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