!!!!!!!!!!!!!! Please read question correctly before answering

Answer:

[tex]7 + a = \sqrt{7b + c}[/tex] --- equation

[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values

[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values

Step-by-step explanation:

Given

[tex]x +2 = \sqrt{3x + 10[/tex]

[tex]x + a = \sqrt{bx + c}[/tex]

Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]

We have:

[tex]x + a = \sqrt{bx + c}[/tex]

Substitute 7 for x

[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation

Solving (b): Solve for a, b and c --- to make the equation true

[tex]7 + a = \sqrt{7b + c}[/tex]

Let a = 3 ----- Here, we choose a value for a

[tex]7 + 3 = \sqrt{7b + c}[/tex]

[tex]10 = \sqrt{7b + c}[/tex]

Square both sides

[tex]100 = 7b + c[/tex]

Let b = 5 --------- Here, we choose a value for b

[tex]100 = 7*5 + c[/tex]

[tex]100 = 35 + c[/tex]

Subtract 35 from both sides

[tex]c = 65[/tex]

So, [tex]x + a = \sqrt{bx + c}[/tex] is true for

[tex]a = 3; b =5\ and\ c = 65[/tex]

Solving (b): Solve for a, b and c --- to make the equation false

[tex]7 + a = \sqrt{7b + c}[/tex]

Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]

So, we have:

[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]

[tex]11 = \sqrt{35 + 10}[/tex]

Square both sides

[tex]121 = 45[/tex] --- This is false

i.e.

[tex]121 \ne 45[/tex]

Answer:

8units

Step-by-step explanation:

If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)

For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)

Using the distance formula;

D = √(x₂-x₁)²+(y₂-y₁)²

D = √(-8.5+8.5)²)²+(-4-4)²

D =√(-8)²

D = √64

D = 8

Hence the required distance is 8units

Answer:

84pi

Step-by-step explanation:

Sector Area = (pi x r^2 x *angle*)/ 360

(pi x 12^2 x 210)/ 360

= 84pi

= 263.893

Answer:

the answer is 4133.33...km

Explaination:

Distance = speed x time

Distance = 1240 x 10 / 3 = 4133.33... Km

Answer:y=x-5

Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.

Answer:

14a^2

Step-by-step explanation:

3a^2+4a^2+7a^2

Combine like terms

Factor out a^2

a^2(3+4+7)

a^2(14)

14a^2

Answer:

14 a²

Step-by-step explanation:

3a² + 4a² + 7a²

collect like terms

(3 + 4 + 7)a² .. ( factor out :- a²)

calculate the sum

14 a²

Answer:

3/4, 0.75, 75%

Step-by-step explanation:

[tex]\frac{12}{16}[/tex]  

divide top and bottom by 4

[tex]\frac{3}{4}[/tex]

Answer:

D

Step-by-step explanation:

The question states you need a square. That means whatever you do, must leave a square number like 49 or 64

If you add 6 or 7 to 56  you do not get 64    A and C are both wrong.

If you subtract 7 from 56 you get 49 which is a perfect square and all 4 sides will equal 7.

Answer:

Option B:10 glasses of lemon juice and 5 glasses of water

Answer:

30%

Step-by-step explanation:

Answer:

D. 3x + 1

Step-by-step explanation:

[tex]\longrightarrow{\green{3.13}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{37.56}{12} [/tex]

➺ [tex]\:3.13[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]

Answer:

3.13

Step-by-step explanation:

sorry that is All what I can say please don't be mad at me

Answer:

Part A: 9 times

Part B: 79%

Step-by-step explanation:

Part A:

Volume of the large pan = πr²h

Where,

radius (r) = ½(diameter) = ½(12) = 6 in.

height (h) = 3 in.

Volume = π*6²*3

Volume of the large pan = 339.29 in.³

Volume of the small pan = πr²h

r = ½(4) = 2 in.

h = 3 in

Volume of small pan = π*2²*3

Volume of the small pan = 37.7 in.³

✔️To determine how many times the volume of the large pan is greater than the small pan, divide the volume of the larger by the smaller:

= 339.29/37.7 ≈ 9

✅The volume of the large pan is about 9 times greater than the volume of the smaller pan.

Part B:

✔️Find the volume of the box:

Volume of box = L*W*H

Where,

L = 12 in.

W = 12 in.

H = 3 in.

Volume of the box = 12*12*3 = 432 in.³

Divide the volume of the large pan over the volume of the box and multiply by 100%

Thus:

339.29/432 × 100

= 78.5393519 ≈ 79%

The large cheesecake takes up about 79%

Answer:

Step-by-step explanation:

1 OF 3OR5

Answer:

8, 10, 12

Step-by-step explanation:

3 consecutive even integers are 8, 10, 12

8 + 10 + 12 = 30.

Answer:

8, 10 ,12

Step-by-step explanation:

Let x be the first integer

x+2 is the second

x+4 is the third

The sum is 30

x+ x+2 + x+4 = 30

Combine like terms

3x+6 = 30

Subtract 6 from each side

3x+6 -6 =30-6

3x = 24

Divide by 6

3x/6 = 24/6

x = 8

x, x+2, x+4  is 8, 8+2, 8+4,

8, 10 ,12

Answer:

$57750

Step-by-step explanation:

$70,000 - 17.5%

17.5 % = .175

.175 * $70000 = $12250

$70000 - $12250 = $57750

Answer:

Step-by-step explanation:

We know that the equation of a circle is:

(

x

−

a

)

2

+

(

y

−

b

)

2

=

R

2

where a and b are the coordinates of the center, and R is the radius.

So in this question we have to complete the squares:

x² + y² - x - 2y - 11/4 = 0       ->

x² - x + 1/4 + y² - 2y = 11/4 +1/4     ->

(x - 1/2)² + y² - 2y + 1 = 12/4 + 1     ->

(x - 1/2)² + (y - 1)² = 4

Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2

      x² + y² - x - 2y - 2³/₄ = 0

               x² + y² - x - 2y = 2³/₄

               x² - x + y² - 2y = 2³/₄

(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4

             (x - 1)² + (y - 2)² = 7³/₄

The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).

Answer:

10 yrs

Step-by-step explanation:

Juan is 5 yrs now, mom is 35.

add 10 yrs to both the ages

juan is 15 and mom is 45

15 x 3=45

Answer:

the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest

Step-by-step explanation:

The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.

Total number of people tested = 100

Number adults = 50

Number of adults who got side effects = 6

Probability that the adult got side effects = 6/50 = 0.12

Number of children = 50

Number of children who got side effects = 20

Probability that the children got side effects = 20/50 = 0.40

Here, it is clear that probability that the children got side effects is greater than that adult got side effects.

So, Children have a much higher chance of having side effects than adults.

Learn more about Probability here :

https://brainly.com/question/29864422

#SPJ7

Answer:

s = 20

Step-by-step explanation:

Given

3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )

0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )

0 = | 0.25s - 5 | , then

0.25s - 5 = 0 ( add 5 to both sides )

0.25s = 5 ( divide both sides by 0.25 )

s = 20

Answer: S=20

Step-by-step explanation:

Data: 3=-2(0.25s-5)+3

S=?

Step one, Multiply .25s and -5 by -2

-2x0.25s=-0.50s

-2x-5=10

Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10

Step two, add like terms

3=-.50s+10+3=3=-.50s+13

Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.

Step three, subtract 13 on both sides

3-13=-.50s+13-13

-10=-.50s

Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.

Step four, divide -.50 on both sides

-10/-.50=-.50s/-.50

S=20

Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S

That's how you get the answer

I hope this helps!

Answer:

6000 dollar store for the day of a rectangle

Answer:

if its simple interest: $375 in interest, so he would have $1875 in total

if its compound interest: $420.13 in interest, so he would have $1920.13 in total

Step-by-step explanation:

I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.

but compound interest adds on to the total instead of the initial savings so its more complicated

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

Answer:

6w83ywytahausjsshshfwgwyee

An average horse weighs 900-2,000 pounds, depending on size and breed. A lean, racing fit Thoroughbred, for example, has an average weight of 900-1,100 pounds, while the average Clydesdale (think Budweiser) weighs in at 1,800-2,000 pounds

Answer:

If one horse will weigh about 2000 pounds, or 1000kg, then four horses will weigh about 8000 pounds or 4000kg

Answer: The third one

Answer:

Step-by-step explanation:

16

Answer:

could you include a pic please?