If fifteen workers did a job in eight hours, how long would it take five workers to do half of this job?

Answer:

y = 48°

Step-by-step explanation:

In parallelogram STVU,

[tex] m\angle TVU + 60\degree = 180\degree[/tex] (linear pair angles)

[tex] m\angle TVU = 180\degree - 60\degree [/tex]

[tex] m\angle TVU = 120\degree [/tex]

[tex] m\angle UST= m\angle TVU =120\degree [/tex](Opposite angles of a parallelogram)

[tex] m\angle USR= 120\degree(\because S-R-T) [/tex]

[tex] 108\degree + m\angle USR+m\angle PSR= 360\degree[/tex]

[tex] 108\degree + 120\degree+m\angle PSR= 360\degree[/tex]

[tex] 228\degree + m\angle PSR= 360\degree[/tex]

[tex] m\angle PSR= 360\degree - 228\degree [/tex]

[tex] m\angle PSR= 132\degree [/tex]

[tex] y+m\angle PSR= 180\degree [/tex]

(Adjacent angles of a parallelogram)

[tex] y+ 132\degree= 180\degree [/tex]

[tex] y= 180\degree-132\degree[/tex]

[tex] y= 48\degree[/tex]

Answer:

equivalent to 24 out of 60:  12/30,  6/15,  2/5

Step-by-step explanation:

Answer:

The age of the person now is 16 years old

Step-by-step explanation:

Let us solve the question

Assume that the age of the person now is x years old

∵ The age of the person now is x years old

∵ His age 10 years ago = x - 10

∵ His age 10 years after = x + 10

∵ The product of his ages 10 years ago and 10 years after is 156

→ Multiply his ages before and after and equate the product by 156

∴ (x - 10)(x + 10) = 156

∵ (x - 10)(x + 10) = (x)(x) + (x)(10) + (-10)(x) + (-10)(10)

∴ (x - 10)(x + 10) = x² + 10x - 10x - 100

→ Add the like terms

∴ (x - 10)(x + 10) = x² + (10x - 10x) - 100

∴ (x - 10)(x + 10) = x² - 100

→ Substitute it in the equation above

∵ x² - 100 = 156

→ Add 100 to both sides

∴ x² - 100 + 100 = 156 + 100

∴ x² = 256

→ Take √  for both sides

∴ √x² = √256

∴ x = 16

∵ x represents his age now

∴ The age of the person now is 16 years old

Answer:

30

Step-by-step explanation:

Answer:

-11/6

Step-by-step explanation:

Answer:

the equation has one solution, p = 1/4

Step-by-step explanation:

8p + 1 = 4p + 2

subtract 4p from both sides of the equation

8p - 4p + 1 = 4p - 4p + 2

8p - 4p + 1 = 2

4p + 1 = 2

subtract 1 from both sides of the equation

4p + 1 - 1 = 2 - 1

4p = 2 - 1

4p = 1

divide both sides of the equation by 4

4p/4 = 1/4

p = 1/4

Answer:

A is 7   and B is

Step-by-step explanation:

A: 3x2 is 6+1 is 7

B: 3x5 is 8 + 1 so 9+9+9+9 is 36

Answer:

A is the answer ,I am very sure

Step-by-step explanation:

Answer:

v = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

2v + 3v + 75 = 180

Step 2: Solve for v

Answer:

21 degrees

Step-by-step explanation:

3v + 2v + 75 = 108

3v + 2v = 5v

5v + 75 = 108

-75 -75

÷5. 105

÷5 = 21

X=21

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (13, 1) into the partial equation

1 = 13 + c ⇒ c = 1 - 13 = - 12

y = x - 12 ← equation of line

Answer:

the answer is b 12

Step-by-step explanatio

Answer:

10

Step-by-step explanation:

5+5=10

10+10=20

20-10=10

please mark me as brainliest!!<3

Answer:

it is 10

5+5=10

10+10=20

20-10=10

Answer:

A=B

Step-by-step explanation:

Equation 1: 70% of A = 0.7a

Equation 2: 35% of B = 0.35a

Equation 3 = (Equation 2) • 2

Equation 3: 70% of B = 0.7a

Equation 3 = Equation 1

A = B

The required solution of the given condition is A = B.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
70% of A = 0.7a

A = 0.7 / 0.7a
A = a  - - - - (1)

Now,
35% of B = 0.35a
B = 0.35 / 0.35a
B = a - - - - - (2)

From equation 1 and 2
A = B

Thus, the required solution of the given condition is A = B.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

Simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Step-by-step explanation:

We need to simplify the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Solving:

[tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Applying exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\[/tex]

Factors of [tex]18=2\times 3\times 3=2\times3^2[/tex]

Factors of [tex]6=2\times 3[/tex]

Replacing terms with factors

[tex]=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\[/tex]

Using exponent rule: [tex](a^m)^n=a^{m\times n}[/tex]

[tex]=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}[/tex]

Using exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]

[tex]=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}[/tex]

Now using exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108[/tex]

So, simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Answer:

y=14

x=25

Step-by-step explanation:

Answer:

180 degrees

Step by step explanation:

it's two 90 degree angles put together.

Answer:

The answer is 0.001.

Step-by-step explanation:

1% of 0.5 = 0.5/100 = 0.005.

0.2% of 0.5 = 0.2 x 0.005 = 0.001.

Answer:

0.10

Step-by-step explanation:

Solution given:

Over here

of means multiplication.

so

0.2 of 0.5=0.2*0.5=0.10

Answer:

measure of what?

Step-by-step explanation:

Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

Think of the possibilities of #s each dice can roll: 1 - 6. Only 2 is prime and even meaning that's only one of six possibilities. Since rolling two dice are two subsequent events, multiply the probabilities which should be exactly the same. [tex]\frac{1}{6} *\frac{1}{6}=\frac{1}{36}[/tex]

Answer: the answer is C. 14.7 mm

Step-by-step explanation:

Just took the quiz :)

Answer:

It's 14.7

Step-by-step explanation:

I just did the assignment(:

Answer:

4 side is the answer I am sure

Answer:

None.

Step-by-step explanation:

I assume we are talking about a regular heptagon.

This has 7 sides and 7 internal angles.

Each internal angle = 180 - (360/7) = 128.6 degrees which is an obtuse angle.

Answer:

18 votes were in favor of the new speed limit

Step-by-step explanation:

Hope this helps :)

Answer:

Percentage decrease = 28%

Step-by-step explanation:

Original distance = 25 miles

New distance = 18 Miles

Change in distance = 25 - 18

= 7 miles

Percentage decrease = change in distance / original distance × 100

= 7/25 × 100

= 0.28 × 100

= 28%

Percentage decrease = 28%

Answer:

it would be 60 on the previous test because 80-20=60

i dont know what the answer choice would be

hope this helps

have  great day/night

Answer:

The answer is below

Step-by-step explanation:

9) The area of the platform = length * width = 9 m * 12 m = 108 m²

Area = 108 m²

11) 1 km² = 1 km × 1 km = 1000 m × 1000 m = 1000000 m²

But 1 hectare = 10000 m², hence:

1000000 m² = 1000000 m² / 10000 m² per hectare = 100 hectares

1 km² = 100 hectares

12) Area of each paper = 16 cm * 12 cm = 192 cm²

There are 48 sheets, hence:

Total area of sheets = 192 cm² * 48 = 9216 cm²

13) Area of each tile = 12 cm * 10 cm = 120 cm²

The kitchen contains 500 tiles, therefore:

Area of kitchen = 120 cm² * 500 tiles = 60000 cm²

1 m² = 10000 cm²

60000 cm² = 60000 cm² / 10000 cm² per m² = 6 m²

Area of kitchen = 6 m²

Answer:

8=73 degrees

5=107 degrees

Step-by-step explanation:

Please mark me brainliest :D

Answer:

Angle 5 is 107 degrees

Angle 8 is 7s degrees

Step-by-step explanation:

First find angle 5. Since the lines are parallel and cut by a transversal, we can say that Angle 3 and Angle 5 are congruent (same measure) since they are alternate interior angles.

Since Angle 3 is 107 degrees, Angle 5 would also be 107 degrees.

Angle 8 is supplementary to Angle 5.

Angle 5 + Angle 8 = 180

Since we know Angle 5 is 107: 107 + Angle 8 = 180

Angle 8 would then be 73 degrees.

Answer:

600 is compatible of 655 and 40 is compatible of 35

Step-by-step explanation:

Compatible number is the number which is easy to calculate without using pen and paper or in other words mentally

compatible number of 655 divided by 35 is 600 and 40

where 600 is compatible of 655 and 40 is compatible of 35

Answer:

is 18

Step-by-step explanation:

simple you just subtract 27 for the original number

Answer:

hope it helps thnk u .....ask if any queries