Use the distributive property to write the expression without parentheses.
6(3a-2)

Answer:

d=2

Step-by-step explanation:

We are given equation:

sqrt(4y-3)=d-y

Squaring both sides gives:

4y-3=(d-y)^2

Applying the identity (x+y)^2=x^2+2xy+y^2 on right:

4y-3=d^2-2dy+y^2

Now let's y=7:

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

Simplify:

25=d^2-14d+49

Subtract 25 on both sides:

0=d^2-14d+24

Factor left:

0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24

This gives d=12 or d=2.

The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous

Since 2-7 is -5, then d=2 is what we are looking for.

Check:

sqrt(4y-3)=d-y

Set d=2: sqrt(4y-3)=2-y

Now solve for y:

Square both sides: 4y-3=4-4y+y^2

Subtract 4y and 3 on both sides: 0=7-8y+y^2

Reorder right side: 0=y^2-8y+7

Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7

This gives y=7 or y=1.

Plugging in y=7 for a check to this equation gives:

sqrt(4×7-3)=2-7

Sqrt(25)=-5

5=-5 which is not true which is what we wanted

Answer:

The answer to your question would be x=12. Equation is worked out below

Step-by-step explanation:

5 /2 x−7= 3 /4 x+14

5 /2 x-3/4x − 7 =  3 /4 x-3/4x +14

7/ 4 x−7=14

7 /4 x−7+7=14+7

7/ 4 x=21

do the opposite of 7/4x (division)

7/4 / 7/4x = 21 / 7/4

4/7 / 7/4x (cross each other out) = 21 / 4/7

x=12

Answer:

[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]

I hope I helped you^_^

Let assume hours be x.

1 hour = 60 minutes

x hour = 330 minutes

[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]

[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]

[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]

Total hours in a day is 5.5

The average American student is in class 5.5 hours a day.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The average American student is in class 330 minutes a day.

We know that;

⇒ 1 hours = 60 minutes

⇒ 1 minute = 1/60 hours

Hence, We can change the unit as;

⇒ 330 minutes = 330 / 60 hours

                        = 5.5 hours

Thus, It is equal to 5.5 hours.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

Answer:

Step-by-step explanation:

The rate of change for the interval between x = 2 and x = 6 is simply asking you for the slope of the line that connects these 2 coordinates. If you were in calculus, you could find the instantaneous slope at any point on this parabola, but you're not quite that lucky yet, so we will go about it the only way we can:

by finding the slope. Remember, that slope is the same thing as rate of change.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and filling in:

[tex]m=\frac{14-2}{6-2}=\frac{12}{4}=3[/tex]

Answer:

b = 3

Step-by-step explanation:

Substitute the y- coordinate 15 into the equation , that is

15 = 5x ( divide both sides by 5 )

3 = x

This is the x- coordinate of the point , so b = 3

Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]6^2[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

(-5,2)

Step-by-step explanation:

Answer:

(5 , 2)

Step-by-step explanation:

F(-5 , 2)

After reflection F'(5 , 2)

The rule for reflection over y-axis is

Original point(x , y)   :  After reflection:  (-x,y)

x-coordinate will change its sign and y-coordinate remains same

Answer:

11,968

Step-by-step explanation:

I'm not sure, but I think its 11,968

Answer:

the original population of the city is 7,505,833

Step-by-step explanation:

Given;

new of the population of the city, Y = 9,007,000

the percentage increase of the city, = 20% = 0.2

Let the original population of the city = X

New population, Y = X  + 0.2X

                           Y = X(1 + 0.2)

                           Y = X(1.2)

                           Y = 1.2X

                           X = Y/1.2

                           X = (9,007,000) / 1.2

                           X = 7,505,833

Therefore the original population of the city is 7,505,833

Answer:

D, [tex](90-y)[/tex] degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get

[tex]y+B=90[/tex]

To get the measure of angle B, we must isolate B.

To isolate B, we have to remove every term from its side.

The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:

[tex]B=90-y[/tex]

The only answer option that meets this criteria is D.

Hi! I'm happy to help!

To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.

Knowing this, we can multiply our 31 kilograms by 2.2.

31×2.2=68.2

This means that 31 kilograms is equal to 68.2 pounds.

I hope this was helpful, keep learning! :D

Answer:

perimeter=40m

Step-by-step explanation:

PERIMETER=(AREA ROOT)*4

                   =10*4=40m

Answer:

x=2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 30 = x/4

4 sin 30 =x

4 ( 1/2) =x

2 =x

Answer:

45

Step-by-step explanation:

1st term is 2

2nd term is 3

3rd term is 4

.

.

.

nth term is (n+1)

because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1

putting n = 44,

44th term is 44+1 = 45

Answered by GAUTHMATH

Answer:

option c is the correct answer (l=1 cm and w=42cm)

Step-by-step explanation:

length(l) = 1.00cm

width(w)= 42.00 cm

ACCORDING TO FORMULA

Area of rectangle = l×w

=1 cm × 42 cm

= 42cm^2

Answer:

1/6 <x

Step-by-step explanation:

-2(8 x - 4) < 2x + 5

distribute

-16x+8 < 2x+5

Add 16x to each side

-16x+16+8 < 2x+16x+5

8<18x+5

Subtract 5 from each side

8-5 < 18x+5-5

3<18x

Divide by 18

3/18 <18x/18

1/6 <x

I think it migth be the first one

give me brainlieSt

it is 1/6

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

Answer:

8,3,-1,3,15

Step-by-step explanation:

y=x^2-1

y(-3)=8

y(-2)=3

y(0)=-1

y(2)=3

y(4)=15

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

Answer:

B or (-2/3)

Step-by-step explanation:

Perpendicuar lines have negative inverse slopes SO

3/2 ---> -2/3

Answer:

38º

Step-by-step explanation:

<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.

So mBC = 38º

4x4=16 16x3=48 so I think the answer is 48

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

Answer:

439,200 words

Step-by-step explanation:

800 words per 8.5 inches by 11 inches piece of paper

800 times 549 = 439,200 words

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined

Answer:

1. B,D

2. D

3. C

4. J

Step-by-step explanation:

Answer:

21/55

Step-by-step explanation:

7 blue counters, 3 green counters and 1 red counter  = 11 counters

1st counter

P(blue)= blue / total = 7/11

Now there are only 10 counters

6 blue counters, 3 green counters and 1 red counter  = 10 counters

2nd counter

P(blue)= blue / total = 6/10 = 3/5

P(blue blue) = 7/11 * 3/5 = 21/55