Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?

A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)

a rule in quadratic equ states that

if summation of the roots should be -b/a of the equa

comparing the equ x² - 6x + y=0

with. ax² + bx +c =0

we see that in the equ, a= 1, b=-6

so the sum of the roots is -(-6)/1= +6

looking the the option the only one that agreed is option A

-2 + 8= 6

there fore the values of x are -2 or 8

Answer:

Step-by-step explanation:

[tex]6\sqrt{20} + 8\sqrt{5} -5\sqrt{45}[/tex]

[tex]12\sqrt{5} + 8\sqrt{5} -15\sqrt{5}[/tex]

[tex]5\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

I imagine that you are simplifying this, since there is nothing else you can do with it. You are in the section in algebra where you're learning how to simplify radicals. ALWAYS think prime factorization when it comes to numbers. For example, the square root of 5...the prime factorization of 5 is simply 5 * 1. So we know that √5 is as simple as it can be. It would benefit us if we could simplify either of the other 2 radicals down to the same radicand so we could add or subtract them.

The prime factorization of 20 is

20--> 5   *   4

                  4--> perfect square (2×2). So the simplification of 6√20 is 6×2√5 which is 12√5.

The prime factorization of 45 is

45--> 5   *   9

                   9--> perfect square (3×3). So the simplification of 5√45 is 5×3√5 which is 15√5.

Put it all together to get

12√5 + 8√5 -15√5 which simplifies to

5√5

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Answer:

1)

[tex]808.48 \: cubic \: meter[/tex]

2)

[tex]104 \: shiling[/tex]

3)

[tex]14cm[/tex]

Step-by-step explanation:

Length = 16.3m

breadth = 8m

height = 6.2m

volume= Lbh

=(16.3×8×6.2)m

= 808.48 cubic meter

Answer:

Hence, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above. So after the 2 moves, he is up by [tex]4\frac{1}{4}[/tex] meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and  "positive" as climbing up. Here we need to find the change in elevation.

Now we have:  

[tex]=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Both plans are correct

Step-by-step explanation:

I already did it

Answer:

The answer is 113.10 ft²

Step-by-step explanation:

The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that

Answer:

113.04 ft^2

Step-by-step explanation:

use formule A = πr^2

Answer:

62

Step-by-step explanation:

12+12+3+3+7+10+15

you just add all the sides

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

Answer:

3lbs 9 ounces

Step-by-step explanation:

16 ounces in a pound

9514 1404 393

Answer:

  3 lb 9 oz

Step-by-step explanation:

Sometimes, addition is easier than subtraction when it comes to finding the difference.

There are 16 ounces in a pound.

  8 lb 11 oz + 5 oz = 9 lb

  9 lb + 3 lb 4 oz = 12 lb 4 oz

To get from 8 lb 11 oz to 12 lb 4 oz, we have added ...

  5 oz + 3 lb 4 oz

  = 3 lb 9 oz . . . . weight of packing materials

__

Or, you can do the subtraction in the usual way.

  total weight = gift weight + packing weight

  packing weight = total weight - gift weight

  = (12 lb 4 oz) - (8 lb 11 oz)

  = (12 lb -8 lb) + (4 oz -11 oz)

  = 4 lb - 7 oz

  packing weight = 3 lb 9 oz

Answer:

91 - 120 minutes

Step-by-step explanation:

In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.

Answer:

16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940

Step-by-step explanation:

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

Answer:

B. MN, NO, OM

Step-by-step explanation:

Recall: In any triangle, the sides and the angles are related in the following way:

*The largest angle and the longest side are opposite each other

*The medium angle and the mid-sized side are opposite each other

*The smallest angle and the shortest side are opposite each other

In ∆MNO, we are given that

m<M = 57° which is opposite to side NO

m<N = 75° which is opposite to side OM

m<O = 180° - (75° + 57°) (sum of triangle)

m<O = 48° which is opposite to side MN

Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:

MN, NO, OM

Answer:

The picture is the answer

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

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

Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.

We need to find the value of [tex]P(35.5<x<65.5)[/tex].

[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]

Level of significance is 95%.

[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]

[tex]P(35.5<x<65.5)=0.624653[/tex]

[tex]P(35.5<x<65.5)\approx 0.6247[/tex]

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

The Correct Answer is [tex]\frac{11}{2}[/tex]    (11/2)

Decimals Form: 5.5

Answer:

5 1/2 or 5.5

Step-by-step explanation:

11/5 ÷ 2/5

11/5 × 5/2 = 11/2 = 5 1/2

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5

Answer:

3.0019009e+15

Step-by-step explanation:

the word and is multiplication so multiply the two numbers

Answer:

3.001900896*10^15 is the answer

Answer:

D. (x-6)

Step-by-step explanation: Just did it

Answer:

16cm2

Step-by-step explanation:

(1/2) × 8 ×4=16cm2

the answer is 16 cm squared

Answer:

The area is 16 cm^2

Why? Below I explain.

Step-by-step explanation:

In that triangle, there are 2 sides, so you need to use this formula:

B * H / 2

Using those values:

4 * 8 / 2 is equal to 16.

Answer:

y >= x/2 - 1

Step-by-step explanation:

the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form

y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39