Solve the inequality.

−3y < −14

Answer:

62/100= 31/50

45/100= 9/20

Step-by-step explanation:

Divide 62 and 100 by two to simplify

Divide 45 and 100 by 5 to simplify

Answer:

62/100 = 31/50

45/100 = 9/20

Step-by-step explanation:

62 and 100 have a greatest common factor of 2. We can use this to break the fraction 62/100 apart:

[tex]\dfrac{62}{100}=\dfrac{2\times31}{2\times50}=\dfrac{2}{2}\times\dfrac{31}{50}=\dfrac{31}{50}[/tex]

We can do the same to simplify 45/100. The greatest common factor of 45 and 100 is 5, so following the same process:

[tex]\dfrac{45}{100}=\dfrac{5\times9}{5\times20}=\dfrac{5}{5}\times\dfrac{9}{20}=\dfrac{9}{20}[/tex]

Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

Answer:

Function 1:

We have 3x + 5, so we plug in 3 for x to get 9 + 5 = [tex]\boxed{14}[/tex]

Function 2:

We have [tex]\frac{1}{2}x^{2} - 1.5[/tex] so we have 4.5 - 1.5 = [tex]\boxed{3}[/tex]

Function 3:

We have [tex]\frac{3}{2x}[/tex] which becomes [tex]\frac{3}{6} = \boxed{\frac{1}{2}}[/tex].

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

-11 and -7

Step-by-step explanation:

Answer:

-11 and -7

Step-by-step explanation:

-11 + (-7) = -18

-11 x -7 = 77

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

#SPJ2

Answer:

tip = $15.128

Step-by-step explanation:

tip = 75.64 × 20/100

tip = 1512.8/100

tip = $15.128

Answer:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

Answer:

a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour

Answer:

3x^2+7x-20

Step-by-step explanation:

Answer:

expand the brackets

3x^2 + 7x -20

Step-by-step explanation:

(3x-5)(x+4)

= 3x^2 + 12x - 5x + 20

= 3x^2 + 7x + 20

Answer:

Im not sure Im sorry Im just trying to get points but I will send to a friend to help

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

Volume of a box is:

[tex]l * w * h[/tex]

[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]

The height is 11 inches.

Hope this helps.

Volume of the box = LWH.

Let V = 264

264 = (8)(3)(H)

264 = 24H

264 ÷ 24 = H

11 = H

The height of the box is 11 inches.

Answer:

35

Step-by-step explanation:

This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.

C(n,r)=C(7,3)

=7!(3!(7−3)!)

=7!3!×4!

= 35

Finally, we can see that the total number of possible outcomes is 35

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

this is the answer y=19x-10

Answer:

$108

Step-by-step explanation:

The computation of the total profit is shown below:

Given that

1 box = $12

18 boxes = 12×18 = $216

So

Total = 18×65 = 1170 pens

Now Cost price, Cp = $216

Also,

3 = $1

So,

= 378 ÷ 3

= $126

Now

= 1170-378

= 792 pens remaining

4 = $1

So,

792

= 792 ÷ 4

= $198

Now

Total selling price, sp = 126+198 = $324

So finally

Profit = Sp - Cp

= $324 - $216

= $108

Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

Answer:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

Answer:

D = 1

Step-by-step explanation:

0.99949

round the answer so its 1

diameter = 1

Answer:

(16×16) +(32×8)

256+256

512m²

B is standard form. y=1/2x + 2

Answer:

d.-7x+2y=9 that is the answer