Please Help! I'm really stuck on this question 6th Grade Math​

To solve this problem, we first set up an equation to express the product of the numbers at the vertices of the square in terms of their sum. Then, we use this equation to find the values of the numbers on the edges of the square. The sum of all the numbers on the edges equals to 2 times the square root of 15.

Let's denote the four numbers on the edges of the square as a, b, a, b (since it's a square, opposite sides are equal). The products at the vertices are: ab (top left), ab (top right), ab (bottom right) and ab (bottom left).

So the sum of these numbers at the vertices is 4ab = 15. From here, we can solve the equation for ab, giving us ab = 15 / 4.

The problem asks for the sum of the numbers on the edges, which equates to 2a + 2b. As due to our current setup, a = b, we can simplify this to 4a or 4b. But we don't have a or b - we have ab. Because of this, we require a bit of algebra. We know that (a + b)^2 = a^2 + 2ab + b^2. In our case, where a = b, this can simplify to 4a^2. From here, we proceed with ab = 15/4 to replace 2ab in the equation with the latter, and then solve for a^2, followed by a.

The result is a=root(15/4). To get the sum of all the edges, we would then multiply this by 4, giving us 4*root(15/4) = 2root(15).

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The sum of the numbers on the sides of the square is calculated by doubling the number on the side 'a', adding to double the number of 'b'. With 'b' equals to 15 divided by four times 'a', the sums equals to 2a plus 2 times 15 divided by four times 'a'.

Let's denote the numbers on the sides of the square as a, b, a, b, respectively. Hence, each vertex will be the product of a and b, making each vertex to be ab. Given that the total sum of these vertex is 15, we have 4ab = 15, which simplifies to ab = 15/4.

To find the total sum of the numbers on the sides of the square (the edges), we should sum up all a and b's. Therefore the sum will be 2a + 2b. Given that b = 15 / (4a), we can substitute b into the equation, simplifying to get the total sum = 2a + 2*(15 / (4a)). This is the solution to the problem.

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Answer:

Step-by-step explanation:

B is the  answer

for  the same x you could  not have diferent y

Answer:

d t(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Step-by-step explanation:

t(x) joins the ordered pairs:

(0, 1) (1, 3) and (3, 27)

p(x) joins the ordered pairs:

(0, 2) (1, 3) (3, 11) (5, 27) and (6, 38)

After t(x) and p(x) intersection, t(x) increases in a greater amount than p(x)

Answer: he is correct

Step-by-step explanation:

Answer:

so i divide 169 divided by 2

Step-by-step explanation:

well what i do is that i do a inverted T

x2I=169

then i look to see what is the opposite of multiplying which is dividing

so i divide 169 divided by 2

which will give me an answer

Answer:

13,-13

Step-by-step explanation:

*I Think you meant x²=169

so the first step is to square root both sides so

[tex]\sqrt{x^2}= \sqrt{169}[/tex] So

x=±13 or

13,-13

38%

It is 38% because 35/93 is like 0.3775942

Answer:

38%

Step-by-step explanation:

1. add the number of rain and snow days

[tex]24+11=35[/tex]

2. divide by total number of days

(total amount of days: 93)

[tex]\frac{35}{93}[/tex] [tex]=.376[/tex]

rounds to .38

3. multiply by 100 to get it as a percent

[tex](.38)(100)=38%[/tex]

Answer:

13.) tanC=40/30

14.) tanA=21/20

15.) tanC=12/35

16.) tanX=30/40

17.) sinZ=12/37

18.) sinZ=30/50

Final answer:

Trigonometry focuses on the ratios between sides and angles of right-angled triangles. Ratios are used to maintain relationships between quantities in scaled models or mathematical problems. Practicing these calculations aids in mental math and practical applications.

Explanation:

Practice Writing Trig Ratios

Trigonometry involves understanding the relationship between the angles and sides of right angled triangles. These trigonometric ratios, which include sine, cosine, and tangent, are essential in connecting angles to their respective side lengths. They are ratios and thus dimensionless, meaning they have no units. These calculations become easier with practice, allowing one to approximate and compute them mentally.

When dealing with practical problems, such as scaling distances for a model or building, it is common to write proportions to maintain the relationships between lengths and widths. For example, if you have a scale that says 1 inch on the model represents 10 feet in reality (inches/feet = 1/10), you would write a ratio that respects this scale. Similarly, if comparing areas, you would establish a ratio outlining how one area relates to the other based on their respective dimensions.

It is also valuable to familiarize oneself with the functions of a calculator by experimenting with various operations such as squaring, square roots, trigonometric functions, and logs. This helps in comprehending the interconnectedness of these mathematical concepts and their practical application.

Answer:

0xFD

Step-by-step explanation:

To convert 253 into hexadecimal, divide the number by 16 repeatedly and record the remainders.

To convert 253 into hexadecimal, you need to divide the number by 16 repeatedly and record the remainders. The most significant digit of the hexadecimal representation will be the last remainder obtained. So, let's proceed:

Therefore, 253 in hexadecimal is DF.

Answer:

its B

Step-by-step explanation:

i got it right on USA TEST PREP

Answer:

The answer is 2; use the remainder only

Step-by-step explanation:

The question is asking how much water would be left over, not how much each bottle will get. There is a remainder of 2, so that means there will be 2 ounces left

Answer: D

142

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

Parentheses (yes {} and [] count but you work from the inside out)

Exponents

Multiply

Divide

Add

Subtract

Answer:

B. 4

Step-by-step explanation:

36/9=4, since 9*4=36. Therefore, the correct answer is B, 4. Hope this helps!

Your answer would be 1/8.

The probability for getting a tail one time would be 1/2 because there are only 2 sides of a coin. Since tossing one coin doesn't affect the outcome of tossing the other coins, the probability for getting a tail on all of the coins is 1/2 each. We want this to happen 3 times, so the answer would be 1/2 × 1/2 × 1/2 = 1/8.

I hope this helps!

Answer:

1/2 x 1/2 x 1/2 = 1/8

1/8

Step-by-step explanation:

Answer:

add 3 so you get y=-4(x-1)+3 then plot the verticie at 1,3 then graph the slope of -4

Step-by-step explanation:

Answer:

I think this is it

Step-by-step explanation:

Look at the attached picture ⤴

Hope it will help u....

Answer:

The answer to your equation is -47.

Step-by-step explanation:

Follow the order of operations. First do 9*5=45, and 6*-2 to get -12. Next, just finish the equation from left to right to get -47.

Answer:

1

Step-by-step explanation:

Let the number be X

condition

12 more than seven times the number

it can be represented numerically by using process given belwo

seven times the number will be 7 * X = 7X

12 more than 7X will be equal to 7X + 12

______________________________

This number (7X + 12) is equal to number plus 19

number plus 18 will be X + 18

therefore according to the question

7X + 12  = X + 18

=> 7X - X = 18 - 12

=> 6X = 6

=> X = 6/6 = 1 (Answer)

The number is 1.

Answer:

B Slope = -1/3

Step-by-step explanation:

you are going down 1 and right 3

when you go down it becomes a negative so vice versa up would be positive

when you go right it becomes positive so when you go left it would be negative

Answer:

a = 40 if simplified :)

Answer:

Dear mate your answer is 40...

The roles of three levels of craftspeople in a shoemaker’s shop are Master Craftsman, Journeyman and Apprentice.

The three levels of craftspeople you might find in a shoemaker’s shop and their duties are:

Master Craftsman: Oversees the entire shoemaking process, creates designs, and ensures quality.

Journeyman: Skilled worker who assists the master craftsman, carries out specific tasks like cutting leather or stitching, and trains apprentices.

Apprentice: Learns the trade under the guidance of the master craftsman and journeyman, performs basic tasks to gain experience.

Answer:

x= (-3i-√3)/2

x= (3i+√3)/2

Step-by-step explanation:

you have to use the quadratic formula which is (-b±√b^2+4ac)/2(a)

a=1

b=3

c= -3

when you plug the numbers into the formula, you get a negative in the square root, so you have to bring out an Imaginary number which is i and connect it with your -b value.

in this case, you only have to switch out the plus and the minus strictly because of the imaginary number

Answer:

x=7 (if your teacher cares it could + or - 7)

Step-by-step explanation:

Okay, since it's a 90 degree triangle you can use the Pythagorean theorem

( a^2 + b^2 = c^2)

Since it's an isosceles triangle the other side is x because it's the same value.

x^2 + x^2= (7[tex]\sqrt{2}[/tex] )^2

Add the left side

2x^2= 7^2 + [tex]\sqrt{2}[/tex]^2 roots and square roots cancel each other out

So -> 2x^2= 49 x 2 =98

just solve for x.

x^2 = 98/2

x^2= 49

Square root both sides

x= 7

To find out how many more pounds of apples Shannon bought compared to Bill, subtract the weight of Bill's apples from the weight of Shannon's apples. The most close estimate of how many more pounds Shannon bought is 2 1/4 pounds.

To find out how many more pounds of apples Shannon bought compared to Bill, we need to subtract the weight of Bill's apples from the weight of Shannon's apples.

Shannon bought 5 1/8 pounds of apples, which can be written as a mixed number as 5 + 1/8.

Bill bought 2 7/8 pounds of apples, which can be written as a mixed number as 2 + 7/8.

To subtract these mixed numbers, we can find a common denominator and then subtract the whole numbers and fractions separately.

Let's convert the mixed numbers into improper fractions and subtract:

The most closely estimate of how many more pounds of apples Shannon bought than Bill is 9/4 pounds or 2 1/4 pounds.

Answer:

There will be 3472 cats in 10 years

Step-by-step explanation:

There were 3500 cats

The number of dogs in a city is declining at a rate of about 0.08% each  year.

We are supposed to find the no. of cats in 10 years

Formula :[tex]N(t)=N_0(1-r)^t[/tex]

Where N(t) = Remaining cats after t days

[tex]N_0[/tex] = Initial population

r = rate of depreciation

t=time

So, No. of cats remained after 10 years = [tex]3500(1-\frac{0.08}{100})^{10}=3472.100[/tex]

Hence There will be 3472 cats in 10 years

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = [tex]\frac{5-5}{-9-7}[/tex] = [tex]\frac{0}{-16}[/tex] = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

Answer:

12 months

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Factor

[tex]b^2 + 5b + 6[/tex]

[tex]b^2 + 3b + 2b + 6[/tex]

[tex](b + 3)(b + 2)[/tex]

Answer:  [tex](b + 3)(b + 2)[/tex]

(b + 2) (b + 3)

Step-by-step explanation:

b² + 5b + 6

Known :

a = 1

b = 5

c = 6

Asked :

Factorise b² + 5b + 6 = ...?

Answer :

p × q = c

p + q = b

So :

p × q = 6

2 × 3 = 6

p + q = 5

2 + 3 = 5

So, p = 2 & q = 3

So, factorise b² + 5b + 6 is (b + 2) (b + 3)

Hope it helpful and useful :)

The triangle LMN is a scalene triangle, and the area of the triangle LMN in the coordinate plane is 4 square units.

Below you can understand more about areas of triangle

A triangle is a shape that has 3 sides and 3 angles

Check below on how to determine the triangle area

The coordinates are given as:

L = (1,-1)

M = (3,2)

N = (1,3)

Calculate the length of side NL using:

NL = √[(x2 -x1)^2 + (y2 - y1)^2]

So, we have:

NL = √[(1 -1)^2 + (3 + 1)^2]

NL = √16

NL = 4

The altitude MP is 2 units.

So, the area is:

Area = 0.5 * NL * MP

This gives

Area = 0.5 * 4 * 2

Evaluate the product

Area = 4

Hence, the area of the triangle is 4 square units

Read more about areas at:

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