Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

5x+28=7x-4

5x+32=7x

32=2x

x=16

Hope This Helps!!!

Answer:

x = 16

Step-by-step explanation:

(7x - 4) and (5x + 28) are alternate exterior angles and are congruent, so

7x - 4 = 5x + 28 ( subtract 5x from both sides )

2x - 4 = 28 ( add 4 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

they love each other

Step-by-step explanation:

...........

Answer:

1516

Step-by-step explanation:

hope can help you

2000x 2%=40

9000x 5%= 450

(30000-9000-2000) x 5.4% = 1026

total tas 40+450+1026=

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

Hi there! :)

Answer:

\(\huge\boxed{8}\)

Find the constant of proportionality using

rise ( y value) / run ( x value):

Therefore:

8 / 1 = 8 = constant of proportionality

We can go ahead and check our work as well:

16 / 2 = 8

24 / 3 = 8

32 / 4 = 8

Therefore, 8 is the correct constant of proportionality.

Answer:

2a-3

Step-by-step explanation:

3a+-2+-2a+-1

= 3a+-2a +-2+-1    (combine like terms)

=2a+-3   (subtract 3a+-2a and add -2+-1)

Answer:

An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers.

Step-by-step explanation:

Answer:

Shown by explanation.

Step-by-step explanation:

An equation shows a relationship between variables and other factors by defining the variables that are dependent and independent and how these dependent variables are related to the independent variables, this is usually as a result of a prescribed experiment where the relationship of this variables are investigated.

Also remember conditions that favour this experiment must be taken into consideration. And the experiment must always be performed under such conditions.

Answer:

70 stones

Step-by-step explanation:

since there are 40 seashells represented by 4 in the ratio

you can do 7 times 10 and that equals 70.

Median of the late trains in a day = 10

What in mathematics is a linear equation?

From the given diagram , we have

Number of trains late on day 1 = 1 + 2 + 3+ 4 + 5 + 6 + 7 + 8 +9 = 30

Number of trains late on day 2 = 1 + 2 + 3+ 4 + 5 = 15

Number of trains late on day  3 = 2 + 3 = 5

Number of trains late on day 4 = 2

Arranging the above data in accending order we get

 2,5,15, 30

as number of observation is even

So, median = mean of two middle numbers

                = 5 + 15/2   = 20/2 = 10

Therefore, median of the late trains in a day = 10

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Answer:

D

if you are advanced.you can see the relationship between the first triangle and the second triangle.

but if you are not advance in geometry.you can compare the side that are relative to one another.

side Ac relative to side zx

side Bc relative to side yx

and

side Ab relative to side zy

The corresponding sides as equal ratios will be AB / YZ = BC / YZ = AC / XZ. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangles ΔABC and ΔZYX,

∠C = ∠X        (Given)

∠B = ∠Y        (Given)

∠A = ∠Z        (Given)

The corresponding angles of the triangles are equal. Then the triangles ΔABC and ΔZYX are similar to each other. Then the equation is written as,

AB / YZ = BC / YZ = AC / XZ

The corresponding sides as equal ratios will be AB / YZ = BC / YZ = AC / XZ. Then the correct option is D.

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Answer:

x=-24

Step-by-step explanation:

i looked it up

Answer:

X = - 1

24

Step-by-step explanation:

Solution,

3/4x = -18

or, 3/4x = -18/1

or, 3*1 = 4x*(-18) [ cross multiplication ]

or, 3 = -72x

or, -72x = 3

or, x = 3/(-72)

or, x = - 1 [ Answer ]

24

The set of all n×n invertible matrices with the standard operations of matrix addition and scalar multiplication is (b) not a subspace.

A Subspace is defined as a subset of a vector space that is itself a vector space under the same operations of addition and scalar multiplication defined on the original vector space.

To be a subspace of Mₙ,ₙ, a subset of Mₙ,ₙ must satisfy three conditions:

(i) The subset must contain the zero matrix,

(ii) The subset must be closed under matrix addition, meaning that if A and B are in the subset, then (A + B) is also in the subset.

(iii) The subset must be closed under scalar multiplication, meaning that if A is in the subset and c is any scalar, then cA is also in the subset.

The set of all n×n invertible matrices does not contain the zero matrix, as the zero matrix is not invertible.

Therefore, it fails to meet the first condition and cannot be a subspace, the correct option is (b).

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The given question is incomplete, the complete question is

Determine whether the subset of Mₙ,ₙ is a subspace of Mₙ,ₙ with the standard operations of matrix addition and scalar multiplication.

The set of all n×n invertible matrices is

(a) Subspace

(b) Not a subspace.

The solution to the composite function operation is:  (f + g)(x) = 4ˣ + 5x - 2

Composite functions are defined as functions that occur when the output of one of the functions is used as the input of another of the functions. If we have a function f and then another function g, the function “ f of g of x”, is the composition form of the two functions.

The functions we are given are:

f(x) = 4^x - 8 and g(x) = 5x + 6

Thus:

(f + g)(x) =  4^x - 8 + 5x + 6

= 4ˣ + 5x - 2

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Complete question is:

if f(x) = 4^x - 8 and g(x) = 5x + 6, find (f + g)(x)

Please refer to the attachment for the answer and explanation. Hope it helps!!

The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to \(a\).

Let one blue square be equal to \(b\)

Let one red circle be equal to \(c\).

Let one yellow pentagon be equal to \(d\).

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be \(3a\).

Under the triangles on the left side is 1 blue square. This means that the next term could be \(1b\), or just \(b\).

Next is 2 red circles ⇒ \(2c\)

And finally are 3 yellow pentagons ⇒ \(3d\)

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

\(3a+b+2c+3d\)

Now, after doing the same procedure for the right side of the hanger, we get:

\(2a+3b+c+2d\)

For now, we only have two expressions representing the two sides of the hanger:

Left: \(3a+b+2c+3d\)

Right: \(2a+3b+c+2d\)

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

\(3a+b+2c+3d = 2a+3b+c+2d\)

\(3a+b+2c+3d = 2a+3b+c+2d\)

The two equations that have the same solution as the original equation are: 23p - 101 = 65p - 40 - p, 2.3p - 14.1 = 6.4p - 4

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = 3x^2 - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are:

23p – 101 = 65p – 40 – p

2.3p – 14.1 = 6.4p – 4

To rewrite the given equation in a different form, we can simplify it using the distributive property and combining like terms:

2.3p - 10.1 = 6.5p - 4 - 0.01p

2.3p - 6.5p + 0.01p = -4 + 10.1

-4.19p = 6.1

p = -1.456

Now we can plug this value of p into each of the answer choices and see which ones give the same result:

23p - 101 = 65p - 40 - p

24p - 101 = 64p - 40

p = 3.5

This solution is not the same as the solution we found for the original equation, so this choice is not correct.

2.3p - 14.1 = 6.4p - 4

8.7p = 10.1

p = 1.16

This solution is also not the same as the solution we found for the original equation, so this choice is not correct.

Therefore, the two equations that have the same solution as the original equation are:

23p - 101 = 65p - 40 - p

2.3p - 14.1 = 6.4p - 4

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Step-by-step explanation:

7! = 5040 ways

Answer: it’s (6,8)

Step-by-step explanation: I took the test

Answer:

the ray of light traveled a distance of 2.07 x 10^22 meters. The answer is option B, 2.07 x 10^22.

Step-by-step explanation:

We can use the formula:

Distance = Speed x Time

where the Speed is 3 x 10^8 m/sec, and the Time is 6.9 x 10^13 sec.

Distance = (3 x 10^8 m/sec) x (6.9 x 10^13 sec)

Distance = 2.07 x 10^22 meters

Therefore, the ray of light traveled a distance of 2.07 x 10^22 meters. The answer is option B, 2.07 x 10^22.

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

Answer:

The first term is 9 and the second term is 5.5, and the third term is r.

Step-by-step explanation:

Hope this helps! ^^

Answer:

80%

Step-by-step explanation:

Times the top and bottom until you get the denominator as 100

So we can times top and bottom by 20 to get:

80/100

Now we can remove the 100 and write it as a percentage:

80%

Answer:

Step-by-step explanation:

probability ≤|1|

or -1≤ probability ≤1

Answer:

No

Step-by-step explanation:

The sum of the probabilities in a probability distribution is always 1.

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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