Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).

Answer: -13

Step-by-step explanation:

The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.

Distance = 7 + 5
Distance = 12 feet

Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

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Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2,  (y1+y2)/2

(5-4)= 1    1/2 = (1/2)

(-1+4)=3    3/2=(3/2)

A : (x₁ , y₁) = (-4 , 4)

B : (x₂ , y₂) = (5 , -1)

Formula of [tex]\tt{midpoint}[/tex] is given by

◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2

_________________________________

⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2

⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2

⇒ (x , y) = 1/2 , 3/2

Answer:

Step-by-step explanation:

A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.

To bisect CD, draw CD to the required length.

Open the compass to a radius greater than the the middle of CD.

With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.

Join the point of intersection of the two arcs by a line.

Label the point where the bisector passes through CD as M.

The construction would be as what is attached to this answer.

Answer:

22 46 15

Step-by-step explanation:

i looked it up because i was even confused. but i think this is right. hope this helps.

Answer: 4 1/8

Step-by-step explanation: To change an improper fraction to a mixed number, you need to first divide the numerator by the denominator as the fraction sign is essentially just a division sign. In this case, you do 33 divided by 8, which would get you 4 with a remainder of 1. 33/8 is just equal to 4 and 1/8.

33/8 is equal to 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

Fractions are numbers of the form [tex]\frac{p}{q}[/tex] where both p and q are real numbers. It can also be defined as a portion of a whole.

p is called the numerator and q is called the denominator.

There are different types of factors such as unit fractions, like fractions, unlike fractions, improper fractions, proper fractions, mixed fractions and so on.

Mixed fractions are fractions of the form q [tex]\frac{r}{d}[/tex] where q is the quotient, r is the remainder and d is the divisor upon dividing the numerator with the denominator of an improper fraction.

33/8 can be expressed in the mixed form by dividing 33 with 8.

We get quotient is 4 and remainder is 1.

So 33/8 = 4 [tex]\frac{1}{8}[/tex]

Hence 33/8 can be written as 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

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Answer:

30

Step-by-step explanation:

50-2×(3^2+1)

50-2×(9+1)

50-2×(10)

50-20

30

Hey there!

[tex]50-2*(3^2+1)=?[/tex]

You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.

[tex](3^2+1)=10[/tex]

Now go to multiplication.

[tex]2*10=20[/tex]

Now move to subtraction since that's what we have left.

[tex]50-20=30\\30(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

It is possible.

Step-by-step explanation:

Each piece of cheese can be divided into two equal pieces.

Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.

Then there will be 15 pieces in each group.

Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.

Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.

The correct answer is A. 12

Explanation:

In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).

On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.

Answer:

a) Jasmine or Jasmina is correct about the silicone sealant cones.

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

b) If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2).

Step-by-step explanation:

Jumbo cone of sealant has top diameter of 8 inches and a height of 12 inches

Regular cone of sealant has top diameter of 4 inches and a height of 6 inches

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2), since two of the regular cone will give the value of a Jumbo cone.

Answer:

3x-6=12

3x-6=-12

x=6

x= -2

1st x = -2

2nd x = 6

Step-by-step explanation:

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  [tex]\frac{sum of scores}{number of samples}[/tex]

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]

                                                    = 242

Answer:

Step-by-step explanation:

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

Average or mean score:

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

Answer:

16% decrease

Step-by-step explanation:

Answer:

round them up

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x  +7

The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:

Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x  +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22

Perimeter of castle = 6x² - 6x + 22

The area of the castle = length × breadth = x² + 4 × (2x² - 3x  +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28

[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]

I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]

Step-by-step explanation:

yf.bfz

vcg ,kgu nkkgfgvvxvh

Answer:

7

Step-by-step explanation:

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

Answer:

9/6 or 1.5

Step-by-step explanation:

both are right

Answer:

5(-x)

Step-by-step explanation:

Answer:

a. Mean = 1,282.7 Angstroms

b. Standard deviation = 15.5

Step-by-step explanation:

a. Firstly, we are told to calculate the sample average. This is same as the mean;

Mathematically that would be;

The value of the sum of terms/ The number of terms.

= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7

b. Standard deviation

Mathematically, this is the square root of variance

= √{(x - mean)^2/N-1}

Please check attachment for the breakdown of this

Answer:

the dependant variable is the time

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

Simplify both sides of the equation

That's

- 10t + 3 = - 97

Using the subtraction property subtract 3 from both sides of the equation

We have

- 10t + 3 - 3 = -97 - 3

- 10t = - 100

Divide both sides by - 10

[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

-10t + 3 = -97

-10t = -100

t = 10

Answer:

23.75

Step-by-step explanation:

how this helped bye I would appreciated if u liked my comment tho

The cost of 2 1/2 meters of wood is $23.75

The given parameters are:

The total cost is then calculated as:

Total = 9.50 * 2 1/2

Evaluate the product

Total = 23.75

Hence, the cost of 2 1/2 meters of wood is $23.75

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