Twenty people apply for 5 job openings as teacher assistants. How many different groups of people can be hired?

Answer:

10x − (x − 2) = 2x − (40 + x).

The missing number is 40.

Step-by-step explanation:

Let the missing number be a, Then:

10x - (x - 2) = 2x - (a + x)

10x - x + 2 = 2x - a + x

9x - 2x - x = -a - 2

6x = -a - 2

When x = -7:

6(-7) = - a - 2

-42 + 2 = -a

-40 = -a

a = 40.

So the equation is

10x − (x − 2) = 2x − (40 + x).

Answer:

£17.51

i used try and error

Answer:

9.2

Step-by-step explanation:

Answer:

start root 1.5 EndRoot

Answer:

d

Step-by-step explanation:

Answer:

1/4

Hope its correct, if so. pls mrk as brainliest

Answer:

[tex] m\angle BOA = 80\degree[/tex]

Step-by-step explanation:

PA and PB are tangents to the circle with center O at points A and B respectively.

[tex]\therefore OA \perp PA\:\: \& OB \perp PB....(\because tangent\perp radius)\\\therefore m\angle OAP=m\angle OBP = 90\degree\\m\angle APB = 100\degree\\OAPB \: is \: a\: quadrilateral\\\therefore m\angle APB+m\angle OAP+m\angle OBP+m\angle BOA = 360\degree\\\therefore 100\degree + 90\degree+ 90\degree+ m\angle BOA = 360\degree\\\therefore 280\degree + m\angle BOA = 360\degree\\\therefore m\angle BOA = 360\degree-280\degree \\\huge\red{\boxed{\therefore m\angle BOA = 80\degree}}[/tex]

Answer:

see explanation

Step-by-step explanation:

The triangular prism has 3 rectangular faces and 2 congruent triangular faces.

rectangular base CDEF = 8 × 2 = 16 cm²

rectangular side ABFE = 6 × 2 = 12 cm²

sloping rectangle ABCD = 10 × 2 = 20 cm²

2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²

Total surface area = 16 + 12 + 20 + 48 = 96 cm²

----------------------------------------------------------------------

The volume (V) of the prism is calculated as

V = Bh ( B  is the area of triangular face and h the depth of the prism )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm

V = 24 × 2 = 48 cm³

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

2a)   [tex]1\frac{7}{16}[/tex]

2b)   [tex]\frac{5}{48}[/tex]

Step-by-step explanation:

The first thing we need to do is add all the fractions together so,

2a)      [tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]

We need to find the LCM of the denominators in order to properly add the fractions together so the LCM is 16

[tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]   =  [tex]2\frac{8}{16} +3\frac{3}{16} +\frac{14}{16} = 5\frac{25}{16} =6\frac{9}{16}[/tex]

Now we subtract this from 8 as asked in the question,

[tex]8-6\frac{9}{16} =\frac{8}{1} -\frac{105}{16} =\frac{128}{16} -\frac{105}{16}=\frac{23}{16} =1\frac{7}{16}[/tex]

2b) We are asked to minus the fraction   [tex]1\frac{7}{16}[/tex]   from    [tex]1\frac{1}{3}[/tex]

Find the common denominator which is 48

[tex]1\frac{7}{16} -1\frac{1}{3} =1\frac{21}{48} -1\frac{16}{48} =\frac{5}{48}[/tex]

This question is incomplete because it lacks the appropriate diagram.

Please find attached to this answer , the appropriate diagram

Answer:

First option tan x° = 8 ÷6

Step-by-step explanation:

When we solve for angles in a right angled triangle or we are trying to find one if the sides of a right angled triangle, we used trigonometric functions to find our answers. These trigonometric functions include Sine (sin) , Cosine (cos) and Tangent (tan)

Tangent also called short form tan is used when solving problems involving a right angled triangle.

A right angled triangle has 3 sides, the Hypotenuse, the opposite side and the adjacent side.

When we are asked to find the tangent of an angle,

tan = Opposite side / Adjacent side

In the question above, we are asked to find tan x° where x is the angle.

The opposite side = 8cm

The adjacent side = 6cm

Therefore, tan x° = 8cm/6cm = 8cm ÷ 6cm

Answer:

Area of Regular Polygon: ( About ) 716.6 m^2; Option B

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are not directly provided with the apothem, so we have to first plan out our procedure step-by-step:

Let us first divide this dodecagon into 12 triangles, each equilateral provided that this is a regular polygon ( implied ). Now let us draw an altitude to one of these triangles, and provided these are equilateral triangles Coincidence Theorem can be applied to this specific triangle. That would mean this altitude is both an angle bisector and a median, which can help us determine the tan degree of the mini triangle formed by the altitude, and the length of one of the sides of this mini triangle.

1. Knowing that the altitude splits the base of the triangle into the two congruent parts ⇒ one of the congruent parts should be ⇒ 8/2 = 4 meters

2. Now the triangles formed through spliting this figure are all ≅, so one of the angles of the triangle is 360/12 = 30 degrees. The mini triangle formed should thus have a measure of 30/2 as the altitude is an angle bisector ⇒ tan 15.

3. From this you can create a proportion, with a  ⇒ apothem:

tan 15/ 1 = 4/a ⇒ tan 15 * a = 4 ⇒ a = 4/tan 15° ⇒ a = ( About ) 14.93

4. The perimeter of this shape would be 8 * 12 ⇒ 96 meters

5. Now let us solve for the area of this regular polygon through substitution into the formula 1/2 * a * P ⇒ 1/2 * 14/93 * 96 = ( About ) 716.64 meters^2

Answer ⇒ Area of Regular Polygon: ( About ) 716.6 m^2

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

Answer:

27/28

Step-by-step explanation:

Answer:

9n + 13

Step-by-step explanation:

(54n + 78)/6

Divide 6 from all terms within the parenthesis:

(54n)/6 = 9n

(78)/6 = 13

9n + 13 is your answer.

~

Answer: 54n+13

Simplify

78÷6=13

54n+78/6=54n+13

Answer:

20

Step-by-step explanation:

Area = ((7+3) x 4) ÷ 2 = 20

Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

e). 60

f). [tex]\frac{4}{9}[/tex]

Answer:

Step-by-step explanation:

Given the sets of side lengths of a triangle:

To verify whether each set of side lengths could be the sides of a right triangle, we use the Pythagorean Theorem. Note that the longest side is always taken as the hypotenuse.

In the set of side lengths 10.5 cm, 20.8 cm, 23.3 cm

[tex]23.3^2=20.8^2+10.5^2\\542.89=432.64+110.25\\542.89=542.89[/tex]

Clearly these satisfies the required theorem and thus are side lengths of a right triangle.

In the set of side lengths 6 cm, 22.9 cm, 20.1 cm

[tex]22.9^2=20.1^2+6^2\\524.41\neq 440.01[/tex]

Clearly these does not satisfy the required theorem and thus are not side lengths of a right triangle.

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

Answer:

85.714285 reapeating

Step-by-step explanation:

Answer:

2 2/5 miles^2

Step-by-step explanation:

For this you have to times the mixed fractions

So....

1 1/5 x 1 1/5

Rewrite it as this 1 + 1/5 + 1 + 1/5

Add the two whole numbers:

1 + 1 = 2

Now the fractions:

1/5 + 1/5 = 2/5

Then:

2 + 2/5 = 2 2/5

If a number is multiplied by 1/2, this means that it strinks 2 times.

For example, we have the radius of 4.

If multipled by 1/2, we get 2.

So, the radius is now 2 times smaller than the original radius.

So, the radius of the sphere will be 2 times smaller than what it originally was.

Best of Luck!

Answer:

185.714% increase

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 14 to V2 = 40

(2−1)|1|×100

=(40−14)|14|×100

=2614×100

=1.85714×100

=185.714%change

=185.714%increase

Answer:

please add an image my bro

Step-by-step explanation:

we cant answer without knowing what it looks like

Answer:

answer my questions also

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

Answer:

top lines of explanation

Step-by-step explanation:

at the secretary job she made 12.75 an hour

second job she made 13.50 an hour

180 minutes is 3 hours divide 40.50 by 3 and get 13.50

102.00 divided by 8 is 12.75

Step-by-step explanation:

8 hours = 102.00

1 hour = 102 ÷ 8 = 12.75

180 min = 3hr

3hr = 40.50

1hr = 40.50 ÷ 3 = 13.5

2nd job

Answer:

278

71.5 for triangles

Step-by-step explanation:

Because 32 + 45 = 82

its a circle so a circle is 360 degrees

so 360 - 82 =

278

Triangles: 180 - 37 then 143 ÷ 2 = 71.5

Your welcome!!

Answer:

y = -5x + 35

Step-by-step explanation:

You have two points: (0, 35) and (7, 0).

The slope is [tex]\frac{0-35}{7-0}=-5[/tex]

The y intercept is 35.

y = -5x + 35

Answer

Step-by-step explanat

Answer:Answer B

Step-by-step explanation:

You get more money that way.