round 990.54 nearest hundred​

Use calculator for the solving:

12 / 24 - 3/216 +5600 -5554 = ?

Answer: 46.4861111111

Hopefully it's correct :)

Answer:

x=-8

Steps:

Simplify-

−3(−7−x)= x+2/2

Simplify-

−3(−7−x)= 1+ x/2

Multiply both sides by 2-

−6(−7−x)=2+x

Expand-

42+6x=2+x

Subtract 2 from both sides-

42+6x−2=x

Simplify-

6x+40=x

Subtract 6x from both sides-

40=x−6x

Simplify-

40=−5x

Divide-

-40/5=x

Simplify-

-8=x

Switch sides-

x=-8

I believe this is correct, if not let me know and I will fix it.

Step-by-step explanation:

[tex] \sqrt{3} - 1[/tex]

Answer:

-1 + √3

Step-by-step explanation:

use the F.O.I.L method to solve this.

"firsts"

1 * 2 = 2

"outsides"

1 * -√3 = -√3

"insides"

√3 * 2 = 2√3

"lasts"

√3 * - √3 = -3

so you get:

2 - √3 + 2√3 - 3

combine like terms

-1 + √3

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

[tex]3x - 2y = 5[/tex]

[tex]xy = - 2[/tex]

Now,

[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ [/tex]

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ 3x {}^{2} - 2 \times 3x \times 2y + 2y {}^{2} = 5 {}^{2} \\ 9 {x}^{2} - 12xy + 4y {}^{2} = 25 \\9x {}^{2} + 4y {}^{2} = 25 + 12xy \\ 9x {}^{2} + 4 {y}^{2} - 1 = 24 + 12xy[/tex]

✐ So, the value of 9x² + 4y² - 1 is 24 + 12xy

Now,

xy = - 2

So, 12xy = 12 × - 2 = - 24

•°• 24 + 12xy

= 24 + (-24)

= 24 - 24

= 0

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

[tex]( -2 ,\:-6) [/tex]

Step-by-step explanation:

Given points are: [tex] S=(-7,-8)=(x_1, \:y_1) \:\&\:T= (3,-4)=(x_2, \:y_2) [/tex]

Midpoint of segment ST

[tex]M=( \frac{x_1+x_2}{2} ,\:\frac{y_1+y_2}{2}) [/tex]

[tex]M=( \frac{-7+3}{2} ,\:\frac{-8+(-4)}{2}) [/tex]

[tex]M=( \frac{-7+3}{2} ,\:\frac{-8-4}{2}) [/tex]

[tex]M=( \frac{-4}{2} ,\:\frac{-12}{2}) [/tex]

[tex]M=( -2 ,\:-6) [/tex]

Answer:

1200 Containers

Step-by-step explanation:

According To The Question, We Have

By All this Data We Found That, Basically A Big Size Cuboid is Formed Here.

Now, For The Total Numbers Of Containers = 10×15×8 = 1200 Containers

Answer:

$82.5

Step-by-step explanation:

40%-33

10%-8.25

100%-82.5

Answer:

This idea of reflection correlating with a mirror image is similar in math.

This complete guide to reflecting over the x axis and reflecting over the y axis will provide a step-by-step tutorial on how to perform these translations.

 First, let’s start with a reflection geometry definition

Math Definition: Reflection Over the X Axis

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

Math Definition: Reflection Over the Y Axis

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image. In this case, theY axis would be called the axis of reflection.

What is the rule for a reflection across the X axis?

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Answer:

b=57° (vertically opposite angles)

Step-by-step explanation:

57°+a+b+c=360° (angles around a point)

57°+57°+a+c=360°

114°+a+c=360°

a+c=360°-114°=246°

a=c (vertically opposite angles)

therefore 2a=246°

a=123°

b=123°

Answer:

w> -24

Step-by-step explanation:

w +6 > -18

Subtract 6

w+6-6 > -18-6

w> -24

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

Step-by-step explanation:

it's a right angled triangle

it's also a scalene triangle because not all sides are equal

Given:

The figure of two triangle XYZ and UWV.

To find:

The theorem that is used to verify [tex]\Delta XYZ\sim \Delta UWV[/tex].

Solution:

In triangle XYZ,

[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex]        (Angle sum property)

[tex]70^\circ+90^\circ+m\angle Z=180^\circ[/tex]

[tex]160^\circ+m\angle Z=180^\circ[/tex]

[tex]m\angle Z=180^\circ-160^\circ[/tex]

[tex]m\angle Z=20^\circ[/tex]

In triangle XYZ and triangle UWV,

[tex]m\angle Y\cong m\angle W[/tex]                  (Right angles)

[tex]m\angle Z\cong m\angle V[/tex]                  (Equal measures)

Two angles of one triangle are congruent to corresponding angles of another triangle. So, the triangles are similar by AA property of similarity.

[tex]\Delta XYZ\sim \Delta UWV[/tex]           (AA similarity theorem)

Therefore, the correct option is B.

Answer:

[tex]12\frac{1}{5}[/tex] in

Step-by-step explanation:

That's the correct answer :)

Answer:

4

Step-by-step explanation:

3*5*4*3*2*1

3x-x+2=4

Answer:

6x10^3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Step-by-step explanation:

Solution = (-2,1)

Because, the point (-2,1) is tangent to 2 intersecting lines

Answer:

h = 9.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

h² + 7.2² = 12² ( h is the height of the building )

h² + 51.84 = 144 ( subtract 51.84 from both sides )

h² = 92.16 ( take the square root of both sides )

h = [tex]\sqrt{92.16}[/tex] = 9.6 ft

Answer:

Angle 1)  S = 12

Angle 2) Y = 18

Angle 3) R = 27

Angle 4) Z = 15

Angle 6) X = 13

Step-by-step explanation:

Angle 1

is a right angle, 90, use this to find s also

90 = (16s - 102)

90 + 102 = 16s

192/16 = s

12 = s

Angle 6

Angle 6 = 180

180 = 12x+24

180 - 24 = 12x

156 / 12 = x

13 = x

Angle 2

Angles 2 and 4 are a total of 90

Use this to find y

90 = (4y-9) + (y+9)

90 + 9 - 9 = 5y

90 = 5y

90/5 = y

18 = y

Angle 4

Angle 4 and 3 will be the same, us this to find z

2z - 3 = 4z - 33

2z - 3 - 4z = -33

-2z  = - 30

z = 15

Angle 3

3 and 5  together from 180

this mean

r + 5r + 18 = 180

6r = 180 - 18

6r = 162

r = 162 / 6

r = 27

Answer:

1.48 m

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Then the sum for the 14 boys is

[tex]\frac{sum}{14}[/tex] = 1.56 ( multiply both sides by 14 )

sum = 21.84 m

The sum for the class of 32 is

[tex]\frac{sum}{32}[/tex] = 1.515 ( multiply both sides by 32 )

sum = 48.48 m

Thus the sum for the 18 girls is

sum = 48.48 - 21.84 = 26.64 m

Then mean height of girls is

mean = [tex]\frac{26.64}{18}[/tex] = 1.48 m

Answer:

18 scoops is the correct answer

Step-by-step explanation:

3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)

and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)

thus total lentils required is 6/8 + 12/8 = 18/8 cups.

with scoop size 1/8 cup you'll need 18 scoops .

Answer:

18 1/8 scoops

Step-by-step explanation:

Soup:

6 scoops from a 1/8 cup can make a 3/4 cup

Salad:

4 scoops from a 1/8 cup can make a 1/2 cup

If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.

Answer:

32 $

Step-by-step explanation:

Answer:

b. 3(8.35) ^x

Step-by-step explanation:

3(1.7) ^4x = 3 • [(1.7)⁴]^x

= 3 (8.35) ^x

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

Answer:

Uuy

Step-by-step explanation:

[tex] - \frac{2}{3} a + 6 = - 14[/tex]

[tex](3)( - \frac{2}{3} a + 6) = ( - 14)(3)[/tex]

[tex] - 2a + 18 = - 42[/tex]

[tex] - 2a + 18 - 18 = - 42 - 18[/tex]

[tex] - 2a = - 60[/tex]

[tex] - 2a \div - 2 = - 60 \div - 2[/tex]

[tex]a = 30[/tex]

Answer:

13.60units

Step-by-step explanation:

Given data

U(-7,5) and V(4, -3)

x1=-7

y1=5

x2= 4

y2= -3

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-(-7))²+(-3-5)²)

d=√((4+7))²+(-8)²)

d=√(11)²+(-8)²)

d=√121+64

d=√185

d=13.60units

Hence the distance is 13.60units

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.