3. Mr. Yardi will buy pens for all 19
employees at his store. He wants to give
each employee 3 pens. If he buys pens
in packages of 12, what is the minimum
number of packages of pens Mr. Yardi
needs to buy to have enough pens?

9514 1404 393

Answer:

  m∠Y = 40°

Step-by-step explanation:

The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...

  s + y = 90

  (4y -110) +y = 90 . . . . . . . . substitute for s

  5y = 200 . . . . . . . . . add 110

  y = 40 . . . . . . . divide by 5

The measure of angle Y is 40°.

Answer:

Step-by-step explanation:

Initial condition:

3 red

2 blue

5 green

2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9

hope this helps have a good day too.

There is 12 months in a year so you need to multiply 12 by 110 which is 1320

Your answer is: 1320 saved in one year

Hope this helped :)

Answer:

3

Step-by-step explanation:

The base is the number below the exponent.

Answer:

The number is 52 or 25.

Step-by-step explanation:

The photo has the full solution

The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,

Write the equations of the statement as shown below,

Assume the one's digit is x and the ten's digit is y then,

x = 2.5y

(10y + x) - (10x + y) = 27

Solve the above equation and find the value of x and y,

10y + x - 10x - y  = 27

-9x + 9y = 27

-x + y = 3

-2.5y + y = 3   (Plug value of x)

-1.5y = 3

y =  2

x = 2.5 × 2

x = 5

Number = 2 × 10 + 5 = 25

Thus, the number is 25.

To know more about equation:

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Answer:

x = 12.99

Step-by-step explanation:

Tan(33) = [tex]\frac{x}{20}[/tex]

Tan(33) * 20 = x

12.99 = x

Hope this helps!

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

Answer:

[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  (x -5)^2 +(y +7)^2 = 49

Step-by-step explanation:

The equation of the circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...

  (x -5)^2 +(y +7)^2 = 49

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who  participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

Learn more about probability here:

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Answer:

2.75

Step-by-step explanation:

Answer:

A) 3.5 m

Step-by-step explanation:

3.5 x 2 = 7/2 = 3.5

Answer:

x = 4, y = 8

Step-by-step explanation:

If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.

Thus;

2x - 5 = y - 5 (Eqn 1) and

y - 3 = x + 1 (Eqn 2)

Thus:

Rewrite equation 1

2x = y - 5 + 5

2x = y

Substitute y = 2x in equation 2.

y - 3 = x + 1 (Eqn 2)

2x - 3 = x + 1

Collect like terms

2x - x = 3 + 1

x = 4

Substitute x = 4 in equation 1

2x - 5 = y - 5 (eqn 1)

2(4) - 5 = y - 5

8 - 5 = y - 5

3 = y - 5

3 + 5 = y

8 = y

y = 8

Answer:

100km

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

The scale factor is the ratio ...

  (image measure)/(original measure)

The diagram shows that the original measure of 5 becomes a measure of 3 on the image. The scale factor is 3/5.

Answer:

two people in an hour

Step-by-step explanation:

thats why I think that why no one is waiting

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4

Substitute x and calculate:

Answer:

h(-3) = -3h

h(5) = 5h

h(2) = 2h

h(0) = 0

Answer:

y = 2x - 3

Step-by-step explanation:

The negative recipricol is -1/(-1/2) = 2

Use point-slope equation:

y-y1 = m(x-x1)

x1 = 3, y1=3

y-3 = 2(x-3)

y-3 = 2x-6

y = 2x-3

Answer:

C=54°

Step-by-step explanation:

If u add each angle of a triangle should ways add up to 180°

Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

Answer:

Total population = 340000

Growing rate = 4%

Growing population = 340000×4/100

= 13600 per year

Now population increased in 20 years = 13600 × 20 = 272000 population.

Now ,

The population after 20 years = 340000+272000

=612000

So the population after 20 years = 612000

Answer:

$995.04

Step-by-step explanation:

You pay $20.73 every month. $20.73 x 48 = $995.04

Answer:

i am going to assume that for interest you mean simple interest.

900*5%*4=180

180+900=1080.

if you mean compound interest...

900*(1+5%)^4=1094.0 (1.d.p)