One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.

Answer:

2n² + 5n - 102 = 0

n = 6

Step-by-step explanation:

The formula for the area of a rectangle is:

\(\boxed{A=w \cdot l}\)

where w is the width and l is the length.

From inspection of the given rectangle:

Given that the area of the rectangle is 90 cm², then A = 90.

Substitute the values of A, w and l into the formula:

\(\implies 90=(n+4)(2n-3)\)

Switch sides:

\(\implies (n+4)(2n-3)=90\)

Expand the left side of the equation using the FOIL method:

\(\implies 2n^2-3n+8n-12=90\)

\(\implies 2n^2+5n-12=90\)

Subtract 90 from both sides:

\(\implies 2n^2+5n-12-90=90-90\)

\(\implies 2n^2+5n-102=0\)

To solve a quadratic in the form ax² + bx + c, find two numbers that multiply to ac and sum to b.

\(\implies ac=2 \cdot (-102)=-204\)

\(\implies b=5\)

Two numbers that multiply to -204 and sum to 5 are:

Rewrite b as the sum of these two numbers:

\(\implies 2n^2+17n-12n-102=0\)

Factor the first two terms and the last two terms separately:

\(\implies n(2n+17)-6(2n+17)=0\)

Factor out the common term (2n + 17):

\(\implies (n-6)(2n+17)=0\)

Apply the zero-product property:

\((n-6)=0 \implies n=6\)

\((2n+17)=0 \implies n=-8.5\)

n = -8.5 is an extraneous solution since this solution gives negative side lengths, which is impossible.

Therefore, the only valid value of n is n = 6.

\(\hrulefill\)

Check by substituting the found value of n:

\(\textsf{Width}=6+4=10\; \sf cm\)

\(\textsf{Length}=2(6)-3=9\; \sf cm\)

\(\textsf{Area}=10 \cdot 9=90\; \sf cm^2\)

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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Step-by-step explanation:

\(5 \frac{7}{10} + 6 \frac{7}{10} \)

\( = 5 + \frac{7}{10} + 6 + \frac{7}{10} \)

\( = 11 + \frac{14}{10} \)

\( = 11 + 1 \frac{4}{10} \)

\( = 12 \frac{4}{10} \)

Hello there!

\(5\frac{7}{10} +6\frac{7}{10}\)

First, we must add 5+6:

Now, we add the numerators:

\(11\frac{14}{10}\)

Hey! Look at this mixed number! A whole number and an improper fraction!

We must have a whole number and a proper fraction.

So the Answer is:

\(12\frac{4}{10} \\Reduce:\\12\frac{2}{5}\)

Hope it helps!

\(GraceRosalia\)

Answer:

As the coin has only head and tail , each flip has probability of getting head as 1/2

246 flips has head probability = 1/2 × 246 = 223

Answer:

B

Step-by-step explanation:

The chance of it landing on either side is 50/50 and 118 is closest to 50%

Answer:V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation: the answer is 1/4

Answer:

D- 6^6d^20

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(Hypotenuse = 8\\Adjacent = x\\ Angle = \alpha = 43\\\\Using ; SOHCAHTOA , \\Cos \alpha = \frac{adj}{hyp} \\Cos 43 =\frac{x}{8} \\0.73= \frac{x}{8} \\x = 0.73*8\\x = 5.84\\x = 5.8\)

I hope i am correct

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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Answer:

3 1/3

Step-by-step explanation:

       See attachment below

Answer:

Option (A) 3 1/3

Step-by-step explanation:

Let’s solve the improper fraction into a mixed fraction.

The simplified fraction will get a remainder but we I’ll not solve the remainder.

50/15

Quotient = 3

Remainder = 5

Fraction = 3 5/15

               = 3 1/3

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

For the 1st equation y=19x+19b, the answer is b=-x+1/19y.

The 2nd equation 7p+5c=p, the answer is c= -6/5p.

Hope it helps.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

14 or -4.

If the difference of A and B is 9 and B = 5, then A is either 9 higher which is 14, of 9 lower which is -4.

Answer:

14 or -4.

Step-by-step explanation

it could be either one

Answer:

10= 1/10

20= 1/5

25= 1/4

50= 1/2

75= 3/4

100= 1/1

Answer:

Step-by-step explanation:

Answer:

0.18 cm²

Step-by-step explanation:

Given that a rectangle and a triangle have same perimeter . The sides of them are ,

\(\begin{cases} Square = 4cm , 4cm , 3cm \ and \ 3cm .\\ Triangle = 4cm , 5.8cm \ and \ 4.2cm \end{cases}\)

We know that area of rectangle is product of length and breadth.

\(\implies Area = length \times breadth \\\\\implies Area = 4cm \times 3cm\\\\\implies \red{ Area = 12cm^2}\)

Also we know that the area of triange is half the product of base and height . So that ,

\(\implies Area = \dfrac{1}{2}\times 5.8cm \times 4.2 cm \\\\\implies \red{ Area = 12.18 cm^2 }\)

Therefore the difference between them is ,

\(\implies D = A_1 - A_1 \\\\\implies D = 12.18cm^2-12cm^2 \\\\\implies \red{D = 0.18 cm^2}\)

Answer:n

Step-by-step explanation:m

Answer:

\(y = 4000\) (when x = 0)

Step-by-step explanation:

The initial value of the exponential equation is:

\(y = 4000\cdot (1.05)^{0}\)

\(y = 4000\cdot 1\)

\(y = 4000\)

Answer:

4rgg

Step-by-step explanation:

ok because 2 and 9 and 3

You apparently need to find the greatest common divisor of (418, 456, 494). You can start by looking at the differences between these numbers. They are

.. 456 -418 = 38

.. 494 -456 = 38

So, if 38 divides these numbers evenly, that is the number of seats in each car. (It does).

train 1 had 418/38 = 11 cars

train 2 had 456/38 = 12 cars

train 3 had 494/38 = 13 cars

_____

The number of seats in each car could be a sub-multiple of 38, say 19. In that case, the number of cars in each train would be twice the number shown above. It is slightly unusual for a train car to have an odd number of seats, but is not unheard of.

**I will delete my answer if you dont mark me brainliest in 1 minute**

Just kidding lol

Answer:

Give the other the guy brainliest.

Step-by-step explanation:

Answer:

The number of statues = 7/8 × 16 = 14.

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:

0.75 cents is the correct answer.

Step-by-step explanation:

When finding a fraction of an amount, the key rule to remember is to divide the amount by the denominator and multiply your answer by the numerator. If asked to increase or decrease an amount by a fraction make sure you add or subtract from the original amount at the end of the question! :)

To calculate the amount of money Isabella's father would give her, we need to multiply the number of dollars Isabella would receive by the amount of each dollar. In this case, Isabella's father promised her 6 /8 of a dollar.

The term "by" often represents multiplication in math problems. Therefore, we can interpret "6/8" as 6 multiplied by 8. Multiplying 6/8 gives us the amount of money in non-decimal form. Calculating 6 multiplied by 8, we get: \(6 x 8 = 48\) So, Isabella's father would give her 48 dollars. To convert this amount to decimal format, we divide the number of dollars by 100.

Since there are 100 cents in a dollar, Isabella would receive: \(48 / 100 = 0.48\) dollars Therefore, Isabella would receive 48 dollars and 0.48 dollars in decimal form. To provide her answer to her father, Isabella should tell him that he would give her 48 dollars and 48 cents (or 0.48 dollars) in decimal form. It's important to note that in this problem, "by" is used to represent multiplication. In other contexts, it might have a different meaning, so it's important to consider the context and use proper mathematical operations when solving math problems.

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Answer:

18

Step-by-step explanation:

Answer:

8. b

9. d

Step-by-step explanation:

Answer:

Step-by-step explanation: