a bricklayers assistant starts building a wall laying 50 bricks per hour. Two hours later the master bricklayer joins the assistant and both lay bricks. The master bricklayer lays 80 bricks per hour. write an equation stating that the assistant and the master have laid the same number of bricks. how long has each one worked when they have laid the same number? ​

Answer:

\(\frac{18}{5}\)

Step-by-step explanation:

Given coordinates;

                     (15,36) and (30,72)

Unknown:

Slope of the line  = ?

Solution:

     (15,36) and (30,72);

  Slope is the rise divided by the run. To find the slope, we use the expression below;

   Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

y₁ = 36

y₂ = 72

x₁ = 15

x₂ = 30

  Insert the parameters and solve;

  Slope  = \(\frac{72 - 36 }{30 -15}\)   = \(\frac{36 }{15}\)

 Slope  = \(\frac{18}{5}\)

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

G=15-1.25×t

or,G=1.25(12-t)

Answer:

G= 15-t1.25

Step-by-step explanation:

Answer:  x = -3/2

Step-by-step explanation:

Answer:

Step-by-step Solution:

Hence, Option B is correct.

Answer:

-44r+63585

Step-by-step explanation:

Answer:29045 is the answer

Step-by-step explanation:

Answer:

x^2=8x-35

Step-by-step explanation:

1.1     Factoring  x2-8x+35  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +35  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 35 = 35  

Step-2 : Find two factors of  35  whose sum equals the coefficient of the middle term, which is   -8 .

     -35    +    -1    =    -36  

     -7    +    -5    =    -12  

     -5    +    -7    =    -12  

     -1    +    -35    =    -36  

     1    +    35    =    36  

     5    +    7    =    12  

     7    +    5    =    12  

     35    +    1    =    36  

At 17:30 the shipment arrive in Dallas (GMT -6) , if it departs Edmonton (GMT -7) at 14:45 p.m. on Thursday.

The time difference of two zone is -7-(-6) = -1

The shipment departs at 14:45 pm

flight took time = 3:45 min

adding the time = 14:45 + 3:45

                           = 18:30

So it arrived at Dallas at 18:30 according to Edmonton (GMT -7)

It arrived in Dallas according to Dallas (GMT -6) = 18:30 - 1 hour

                                                                                = 17:30

A time zone is a region where everyone adheres to the same standard time for social, business, and legal activities. Because it is simpler for regions that communicate often to maintain the same time, time zones frequently follow national borders and their subdivisions rather than strictly following longitude.

Coordinated Universal Time (UTC), which ranges from UTC12:00 to UTC+14:00, is used to determine all time zones. Most zones have full hour offsets, but some, like those in India, South Australia, and Nepal, have additional offsets of 30 or 45 minutes.

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Answer:

The missing value is -8 all you have to do is repeat one of the other answer said because they want you to show it’s not a function. period

Step-by-step explanation:

The  9 x 10⁻¹¹ is greater number than 3 x 10⁻¹².

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

We have two numbers:

3 x 10⁻¹² or 9 x 10⁻¹¹.

To find the greater number;

Divide both numbers by 10⁻¹¹.

That means,

3 x 10⁻¹² becomes 3/10.

And 9 x 10⁻¹¹ becomes 9.

The absolute value,

9 > 3/10.

Therefore,  9 x 10⁻¹¹ is greater number.

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Answer:

40%

Step-by-step explanation:

40%

Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Using the expression 2/7 × 28 it is obtained that Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The total number of pencils Professor Elena bought is  28 pencils.

If Professor Elena bought 28 pencils, and she distributed 5/7 of them to her students.

The fractional expression will be -

1 - 5/7

Simplifying the expression we get -

(7 - 7) / 2

2/7

Then she kept 2/7 of the pencils for herself.

The number of pencils she has with her will be -

2/7 × 28 = 8 pencils

Therefore, Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

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Professor Elena bought 28 pencils and distributed 5/7 of the pencils to her students. How many pencils did teacher Elena have left?​

Answer: 26.7

Step-by-step explanation:

Answer:

26.7

Step-by-step explanation:

The greater number of packages that can fit in the truck is 24000.

The volume of the part of the truck that is being filled is 375 cubic feet.

We have,

To determine the greater number of packages that can fit in the truck, we need to calculate the volume of both the packages and the part of the truck that is being filled.

The volume of a cube-shaped package:

The side length of the cube-shaped package is 1/4 feet.

The volume of a cube is given by V = s³, where s is the side length.

Therefore, the volume of each package is (1/4)³ = 1/64 cubic feet.

The volume of the part of the truck being filled:

The dimensions of the rectangular prism-shaped part of the truck are:

Length = 8 feet

Width = 6(1/4) feet = 6.25 feet

Height = 7(1/2) feet = 7.5 feet

The volume of a rectangular prism is given by V = length × width × height.

Therefore, the volume of the part of the truck being filled is:

8 × 6.25 × 7.5

= 375 cubic feet.

To calculate the greater number of packages that can fit in the truck, we divide the volume of the part of the truck by the volume of each package:

= 375 cubic feet / (1/64 cubic feet)

= 375 × 64

= 24000 packages.

Therefore,

The greater number of packages that can fit in the truck is 24000.

The volume of the part of the truck that is being filled is 375 cubic feet.

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The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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The number of points that are 10 miles from A and 12 miles from B is 0.

option 4.

Let's call the point in question "X".

If X is 10 miles from town A and 12 miles from town B, we can represent this as two equations:

d(A, X) = 10

d(B, X) = 12

where;

We can use the Pythagorean theorem to solve for the position of X.

d(A, B)² = d(A, X)² + d(B, X)²

where;

16² = 10² + d(B, X)²

256 = 100 + d(B, X)²

156 = d(B, X)²

12.5 = d(B, X)

So, there are no points that are 10 miles from town A and 12 miles from town B, because the distance from town B to any point that is 10 miles from town A would have to be less than 12 miles, based on the Pythagorean theorem.

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Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

yes no no yes in that order

Answer:

[366]+[-12]

Step-by-step explanation:

that will be the answer

Answer:

Step-by-step explanation:

(3/4)x = 1/10

multiply both sides by 4/3

x =  (1/10)(4/3) = 2/15

Answer:

hope. It helps. What. I Understood

Answer:

where is the question

Step-by-step explanation:

Answer:

2.35714285714

Step-by-step explanation:

Thank you!

Answer:

2 times

Step-by-step explanation:

You can subtract to find it. 33 - 14 = 19. 19 - 14 = 4. That is 2 times. If you subtract again, it won't work.

Answer:

3500

Step-by-step explanation:

\( \frac{7 \times {10}^{5} }{2 \times {10}^{2} } = \frac{7 \times {10}^{3} }{2} = \frac{7 \times 1000}{2} = 7 \times 500 = 3500\)

When dividing 10^5 from 10^2, the degree indicators are subtracted (5 - 2 = 3), so that makes it 10^3

Then, we can write 10^3 as a natural number which is 1000 (the degree indicator in this case shows how many zeros does this number have, 1000 has 3 zeros)

Finally, we divide 1000 from 2, we get 500 and we multiply it by 7

The answer is 3500

Answer:

1.414

Step-by-step explanation:

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer: The amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday

Step-by-step explanation:

We know:

Monday = $1200

Tuesday = $1400

Now we want to know the ratio of Monday to Tuesday, that is a relation that directly relates both quantities, we can calculate it as:

Ratio from Monday to Tuesday = Monday/Tuesday = $1200/$1400 = 0.86

Then the amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday

Check the picture below.

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.