The sum of 5.75 and half a number is -5. What is the number? Please help!

Answer:

\((4, -1, 3)\)

Step-by-step explanation:

We have the system of equations:

\(\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.\)

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

\(\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}\)

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

\(\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}\)

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

\(\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}\)

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

\(\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}\)

Now, we can multiply R₂ by -1/5. This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}\)

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}\)

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}\)

We can now reduce R₃ by multiply it by -1/4:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

\(\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

And finally, we can eliminate the second 1 by adding -(R₃):

\(\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

Therefore, our solution set is \((4, -1, 3)\)

And we're done!

Based on the given conditions, the lock solution is 205.

To solve the lock, to calculate the total score based on the given conditions:

Crocus: + 20

Daffodil: + 25

Snowflake: - 50

Tulip: + 30

Bird-Red: + 25, else + 10

Calculating the scores for each input:

TULIP: +30

CROCUS: +20

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

CROCUS: +20

Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205

Therefore, the solution for the lock is 205.

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Image transcribed:

SPRING NOW LOADING.

<IF CROCUS, THEN +20>

<IF DAFFODIL, THEN +25>

<IF SNOWFLAKE, THEN -50>

<IF TULIP, THEN +30>

<IF BIRD-RED, THEN +25, ELSE + 10>

TULIP

CROCUS

DAFFODIL

TULIP

DAFFODIL

TULIP

DAFFODIL

CROCUS

Solve Lock

Answer:

32768x¹⁰

Step-by-step explanation:

by applying the law of indices

multiply the powers inside the parentheses with the power outside of the parentheses

then evaluating 2¹⁵ equals 32768

multiply by x¹⁰

the answer is 32768x¹⁰

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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The inverse of the function is also a function for each part.

What is function?

a function from a group X to a group Y assigns to every component of X specifically one component of Y.

Main body:

In order to have an inverse function, a function must be one to one.

In the case of

f(x)=x⁴we find that f(1)=f(−1)=1. So f(x) is not one to one on its implicit domain R.

If we restrict the domain of

f(x) to [0,∞) then it does have an inverse function, namely:

f−1(y)=⁴√y

Some more details...

In general, if you want to find the inverse of a function

f(x) then set y=f(x) and attempt to solve for x.

In our example, put:

y=f(x)=x⁴

Then taking the square root of both ends, allowing for both possible

signs we find:

±√y=x²

Assuming that we are only interested in real values of x, we require the left hand side to be non-negative, so assume the non-negative square root.

Then take the square root of both sides again to get:

±√√y=x

That is:

x=±√√y=±⁴√y

Note that this does not give us a unique value of x in terms of y.So the inverse function is not defined, unless we have a restriction such as x≥0, i.e. restrict the domain of f(x) to be [0,∞).

Hence y = x⁴ has inverse and its inverse is also function.

Similarly for each of the parts it is true.

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Answer:

A. 2

Step-by-step explanation:

Hope this helps

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

The answer is below :

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

There are 36 students in the class.

Given that in a class, 24 students read physics, 21 students read Maths and 9 students read both physics and maths, if each student read at least one of the two subjects, to find the number of the students in the class the following calculation must be made:

Therefore, there are 36 students in the class.

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Answer:

36 students is this class

Step-by-step explanation:

24 students in physics,n•(p)=n(p)-n(PnM)=24-9=15,

n•(M)=n(M)-n(PnM)=21-9=12

HERE,

n(u)=15+9+12

 =36

The solution to the system of equation is the point where both lines intersect and it is at (3, 0)

Given the following system of equations

x + y = 3

- 2x + y = -6

Graphically, the point where both lines intersect on the place is the solution to the given system of equation.

From equation 1, x = 3 - y

Substitute into equation 2:

- 2(3-y) + y = -6

-6 + 2y + y = -6

3y = -6 + 6

y = 0

Substitute y = 0 into any of the equation

x + y = 3

x + 0 = 3

x = 3

Hence the solution to the given system of equation is (3, 0)

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Answer : D 10

Explanation : PR/LN = PQ/LM = RQ/NM

6/10 = (2x+1)/(3x+5) = (3x+12)/(6x+10)

replace x with each of the answer. If the answer is = 6/10 =3/5, that number is the ans.

Answer:

First one=120,138 Second one=477,900

Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.

Answer:

1615

Step-by-step explanation:

Area of triangle is: A= B•H•1/2

Area of square is A= L•W

39•17•1/2= 331.5

331.5•4= 1326

17•17= 289

Add the square area to the area of the triangles

289+ 1326= 1615

hope this helps chu <3

Answer:

663

Step-by-step explanation:

Since we are finding the area we multiply Length times Width which is a way of finding formal. L x W so the Length is 17 and Width is 39 so

17 x 39 = 663. So the area is 663

Given:

Substituting the points one by one in the equation.

Substitute (1,2) in the given equation

Substitute (2,0) in the given equation

Substitute (0,4) in the given equation

Substitute (1,-2) in the given equation

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer:

{-2/3, 10/3}

Step-by-step explanation:

Let's solve your equation step-by-step.

|3x−4|=6

Solve Absolute Value.

|3x−4|=6

We know either3x−4=6or3x−4=−6

3x−4=6(Possibility 1)

3x−4+4=6+4(Add 4 to both sides)

3x=10

3x/3 = 10/3

(Divide both sides by 3)

x=10/3

3x−4=−6(Possibility 2)

3x−4+4=−6+4(Add 4 to both sides)

3x=−2

3x/3 = −2/3

(Divide both sides by 3)

x= −2/3

Answer:

$1.60 tip on a $8 sandwich

Step-by-step explanation:

SO to find percent

just multiply the number by the percent

Remeber the percent means x/100

SO in this case 20/100 or 1/5

So you can just multiply 1/5*8 and get 1 3/5.

If you convert 3/5 into a decimal

3 divided by 5

that is .6

SO add them up

1+0.6= $1.60

The smallest value that the expression can have is -1.

We must determine the smallest difference between any two numbers chosen at random from the first 1 through 25 of the first 25 full numbers.

When we select the lowest and second-smallest numbers from the set, the difference is at its smallest. As a result, a = 1 and b = 2.

The expression is given by a - b:

1 - 2 = -1

Therefore, the smallest value that the expression can have is -1.

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Answer: 24 & 25

Step-by-step explanation:

It says 1-25 so 1 will be B and 25 will be A. Next You subtract 25/25-1 which will equal to 24 and  25/25*1=25

So now You have 24 and 25 and 25 is A because when it says to subtract A & B, A is gonna be Bigger that B  so now u have your answer and You can copy below. :)

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The length of FG is equal to the length of F'G'.

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

The properties of a translated shape are the shape and size of the translated shape are the same as that of the original shape. The orientation of the translated shape is the same as that of the original shape. The distance between the corresponding points of the translated shape and the original shape is constant.

The area and perimeter of the translated shape are the same as that of the original shape. The interior angles of the translated shape are the same as that of the original shape. The coordinates of the vertices of the translated shape are obtained by adding a constant value to the corresponding coordinates of the vertices of the original shape.

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Image transcribed:

Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).

Part A

Select from the drop-down menu to correctly complete this sentence:

The length of FG is ___ the length of  F'G'.

Part B

The perimeter of pentagon CDEFG is ____ the perimeter of pentagon C'D'EF'G.

Answer:

its b

Step-by-step explanation:

took the test on edge

Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

The value of x is 6

A line segment can be defined as the partition formed by end points of a line.

From the information given, we have that line JL is the line with segments JK, KL and JL and K and the midpoint between J and L

This can be represented as;

JK + KL = JL

Where;

Substitute the values into the formula, we have;

5x -8 + 7x - 12 = 52

Now, collect like terms

12x = 52 + 20

Add like terms

12x = 72

Make 'x' the subject of formula

x = 72/12

x = 6

Thus, the value of x is 6

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Answer:

C. 5

Step-by-step explanation:

Becuase the left figure is just a scaled down size of the right one, 3 x 2 = 6 so 10 ÷ 2 = 5

WooHoo! Pls Brainliest! It would mean a lot! ;)

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Ofc 2 18 eggs at 97cents

Answer: $0.87

Step-by-step explanation: because i can save my money and spend it on something else and I could also get more because of the buy 2 get one free...

PLEASE MARK ME THE BRAINLIEST

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

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