Solve the following system using substitution:
x - 4y = -1
-3x +8y = -2

Answer:

14√6.

Step-by-step explanation:

√54 = √9√6 = 3√6

√486 = √81 √6 = 9√6.

√24 = √4√6 = 2√6.

So √54 + √486 + √24

= 3√6 + 9√6 + 2√6

= 14√6.

Answer:

2 hours, 4 hours

Step-by-step explanation:

So lets go over what we know.

There are already 10 worksheets created.

Every 1 hour 3 more are made.

27 worksheets need to be made.

Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:

27-10

=

17

Now, lets divide the amount of worksheets we still need, by how many we make each hour:

17/3

=

Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.

Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.

Hope this helps! ;)

Answer:

See below

Step-by-step explanation:

Let's convert the two fractions.

The two categories are now closest to -0.6 and closest to 0.8.

Closest to -0.6 or -3/5: -0.2, -4/5,

Closest to 0.8 or 4/5: 0.6, 2/5

Answer:

Quadrant 4

Step-by-step explanation:

Hi! Okay, let's get started.

This, would be Quadrant 4, with the x axis positive, and y one negative.

Hope that helps! :)

-Aphrodite

Está situado no quarto quadrante

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]

Answer:

Abel gets 9 apples while Gino gets 6 apples.

Step-by-step explanation:

Total age = 20 (Abel's age =12 + Gino's age =8)

Abel's share =

[tex] \frac{12}{20} \times \frac{15}{1 } = 9[/tex]

Gino's share =

[tex] \frac{8}{20} \times \frac{15}{1} = 6[/tex]

Answer:C.  x < -16

Step-by-step explanation:

Answer:

[tex]426.9km^{2}[/tex]

Step-by-step explanation:

Area of the shaded region→

[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]

→ [tex]540-113.04[/tex]

→[tex]426.9[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!!

Answer:

-1.3705187977

Answer:

375.66 cm²

Step-by-step explanation:

The two semicircles add to a full circle.

For the circle, d = 18 cm.

r = d/2 = 9 cm.

A = LW - πr²

A = (35 cm)(18 cm) - 3.14(9 cm)²

A = 375.66 cm²

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

l = 793/30

l = 26 13/30

Therefore, the length is 26 13/30ft

Answer:

678.58 ft^3

Step-by-step explanation:

V=πr2h/3

25.12/12.5663706 = 1.99898608

1.99898608 X 3 = 5.99695826

h= 6ft

6/2 = 3

6 * 3 = 18

V = π * 6^ * 18/3

V = 678.584013

Answer:

x = 0,6

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

The answer I got is x=0 or x=6

Answer:

0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1

Answer:

212

Step by Step Explanation:

out of 1/4 of the school, 53 chose summer

53*4=212

Answer:

I don't know if this is correct but I'm pretty sure its C:

explanation: CD is in total 10 in length, The first part of AB is 3 before the lines intersect, AB is larger than CD because of its position, Again i wouldn't totally trust this answer but I think I'm correct

Answer:

183

Step-by-step explanation:

982

Answer:

45

Step-by-step explanation:

You can use the degrees to find the answer. A right triangle always adds up to 180 degrees. The right angle is 90 degrees.

X + Angle A + Angle B = 180 degrees.

Substitute.

X + 90 degrees + 45 degrees = 180 degrees.

Add them up.

x + 135 degrees = 180 degrees.

now subtract 135 from both sides.

x = 45

Answer:

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

Answer:

x = 5

Step-by-step explanation:

Simplify the like terms:

15x - 8x = 7x

so, 7x = 35

divide: 35/7 = 5

x=5

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

The segment that is false is (2) EF= 1/2EB

The median lines of a triangle always meet at a point.

This means that the line from point C is true (option 4 is true)

The median divides the side lengths of the triangle into equal segments.

However, the centroid at point F do not divide line EB into equal segments

This means that:

The equation EF= 1/2EB is false

Hence, the segment that is false is (2) EF= 1/2EB

Read more about median and centroid at:

https://brainly.com/question/14317682

Answer:

16.6

Step-by-step explanation:

[tex]14^{2}+9^{2}= 277\\[/tex]

[tex]\sqrt{277}[/tex]=16.6(rounded)

i think its like 126

Answer:

Please check explanations

Step-by-step explanation:

From what we have, the constant term is 0.994

Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity

This is because the rate of change is less than 1

With an increasing value of power, the value of the exponent would be less than its previous value

So what this mean is that we would have less quantities over time since the value of the constant term is less than 1

Answer:

x = -3

Step-by-step explanation:

You can see on the graph, it’s going straight vertically. The x value will always be -3 while the y value is infinite.

Answer:

x = -3

Step-by-step explanation:

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Answer:

= −0.26

= 0.4219

Step-by-step explanation:

Given:

Sample1:  98.1  98.8  97.3  97.5  97.9

Sample2: 98.7  99.4  97.7  97.1  98.0

Sample 1           Sample 2              Difference d

98.1                        98.7                       -0.6  

98.8                       99.4                       -0.6

97.3                        97.7                       -0.4

97.5                        97.1                         0.4

97.9                        98.0                       -0.1

To find:

Find the values of  and

d overbar ( )  is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

= ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

= −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

= √∑( - )²/ n-1

=

√

   =  √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −  

                                                                    (−0.26))² + (−0.1 − (−0.26))² / 5−1

=  

=

=

= 0.4219

= 0.4219

Subscript d ​represent

μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

Step-by-step explanation: