Help please! (seventh grade math)

the ratio would be 3/4 : 1

Final answer:

The ratio of Russel's weight to Brooke's weight, given that Russel's weight is 3/4 of Brooke's, is 3:4.

Explanation:

The student is asking how to find the ratio of Russel's weight to Brooke's weight given that Russel's weight is 3/4 of Brooke's weight. To find this ratio, it's straightforward since the value 3/4 already represents the ratio of Russel's weight to Brooke's weight.

Therefore, the ratio of Russel's weight to Brooke's weight is 3:4. This simply means that for every 3 parts of weight that Russel has, Brooke has 4 parts of weight. Ratios are usually expressed in simplest form, and since 3/4 is already in its simplest form, we use it as it is.

Answer:

[tex]\frac{5(x-3)}{6}[/tex]

No excluded values.

Step-by-step explanation:

To simplify the fraction expression, multiply by the reciprocal.

[tex]\frac{5}{x+2} * \frac{x^2-x-6}{6}  =\frac{5(x^2-x-6)}{6(x+2)}=\frac{5(x-3)(x+2)}{6(x+2} = \frac{5(x-3)}{6}[/tex]

Excluded values are values which make the denominator 0 but since there is no variable in the denominator then there are none.

Hello. The answer to your problem is (3, 1). I've included a screenshot of the graph.

Answer:

3

Step-by-step explanation:

Let

x -----> the number of 1/3 fraction tiles

we know that

The linear equation that represent this problem is equal to

[tex]\frac{1}{3}x=1[/tex]

Solve for x

Multiply by 3 both sides to remove the fraction

[tex]\frac{1}{3}x(3)=1(3)[/tex]

[tex]x=3[/tex]

Verify

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1[/tex] -----> is correct

Three times 1/3 is equal 1

Answer:

[tex]\large\boxed{y=-\dfrac{4}{27}(x-3)^2}[/tex]

Step-by-step explanation:

The vertex form of na equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

We have the vertex (3, 0). Substitute:

[tex]y=a(x-3)^2+0=a(x-3)^2[/tex]

A parabola passes through (12, -12). Put the coordinates of the point to the equation and solve for a:

[tex]-12=a(12-3)^2[/tex]

[tex]-12=a(9)^2[/tex]

[tex]-12=81a[/tex]             divide both sides by 81

[tex]-\dfrac{12}{81}=a\\\\a=-\dfrac{4}{27}[/tex]

Finally:

[tex]y=-\dfrac{4}{27}(x-3)^2[/tex]

Valerie's monthly income tax payment is $235.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, Based on Valerie's annual salary of $24,000, her monthly salary would be,

$24,000 / 12

$2,000

Hence, To calculate her income tax, we first need to determine how much of her earnings are over $944.

⇒ $2,000 - $944

⇒ $1,056

Thus, Valerie's earnings over $944 are $1,056.

Next, we'll calculate the income tax on that amount.

$1,056 x 0.15 = $158.40

So Valerie pays $158.40 in income tax each month.

Additionally, she pays a fixed amount of $76.60 each month, which brings her monthly total to:

⇒ $158.40 + $76.60 = $235.

Therefore, Valerie's monthly income tax payment is $235.

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X=-2-1/2y should be the answer

Answer:

[tex]\large\boxed{f(x)=(x+8)^2-110}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110[/tex]

The function f(x)=x^2+16x-46 can be rewritten by completing the square to achieve the vertex form of the function: f(x)= (x+8)^2 - 110. After rewriting, we can determine the vertex of this parabola is located at (-8,-110).

The problem asks you to rewrite the function f(x)=x^2+16x-46 by completing the square. This involves manipulating the quadratic formula to write it in the form f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola.

So, let's start by rearranging the original function:

f(x)=x^2+16x-46

The coefficient of x is 16; halving this, we get 8. Then we add and subtract (which means adding 0, so we don't change the equation) this within the square to complete the square:

f(x)= (x^2+16x+64) - 64 - 46

Then, the equation can be written as:

f(x)= (x+8)^2 - 110

This is the vertex form of the function. We can see that the vertex of the parabola is at (-8,-110).

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Answer:

See below.

Step-by-step explanation:

Solve the equation using each of the properties listed.

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n              Distributive Property

3n + 40n - 5 = -48

43n - 5 = -48                      Addition Property of Equality

43n = -48 + 5

43n = -43                           Addition Property of Equality

n = -43/43

n = -1                                  Division property of Equality

Answer:

Guess that was the answwr

Step-by-step explanation:

y=mx+b where m is the slope and b is the y intercept.

Final answer:

Linear equations are written as y = mx + b or y = a + bx, where 'm' or 'b' in the first form and 'b' in the second represents the slope and 'b' in the first form and 'a' in the second represents the y-intercept. The equation can model relationships where 'y' changes at a constant rate with 'x', forming a straight line graph.

Explanation:

Understanding Linear Equations

Linear equations represent relationships between variables that result in a straight line when graphed on a Cartesian plane. These equations are typically written in the form y = mx + b or in a statistical context as y = a + bx. Here, 'y' is the dependent variable and 'x' is the independent variable. The constant 'm' or 'b' in the first equation and 'b' in the second represents the slope of the line, which indicates the rate of change of 'y' with respect to 'x'. The constant 'b' in the first equation and 'a' in the second equation represents the y-intercept, which is the point where the line crosses the y-axis, at which point 'x' equals zero.

Graphically, the slope denotes the steepness and the direction of the line, while the y-intercept gives us the starting point of the line on the graph. For example, in the equation y = 6x + 8, the slope is 6 and the y-intercept is 8. This means that for every one unit increase in 'x', 'y' will increase by 6 units, and when 'x' is 0, the value of 'y' is 8.

Different scenarios can be modeled using linear equations, such as calculating the total number of hours required based on the square footage (y = x + 4), determining the total payment based on the number of students (y = 100(x) + 2,000), or finding the total cost of attendance over a number of years (y = 3,000(x) + 500).

The linear equation is also applicable in understanding real-world issues, such as tracking the number of flu cases over the years, where the number of cases depends on the year.

Answer:

Replace x^2 with m

Step-by-step explanation:

x^8-3x^4+2=0

We want to write this as a quadratic, which means as am^2+bm +c

x^8  needs to become m^2

Let m = x^4

Then m^2 = x^4^2 = x^8

Our equation becomes

m^2 -3m +2 =0

Replace x^2 with m

Answer:

Replace x with  [tex]y^{1/4}[/tex]

Step-by-step explanation:

The general  form of a quadratic equation is  [tex]ax^{2}[/tex] + bx + c.

To  find a substitution  we have to think of a way of substituting ‘x’ to make it have a power of 2,

Here, we will use [tex]y^{1/4}[/tex]  

[tex]x^{8}[/tex] - [tex]3x^{4}[/tex] +2 = 0

let x = [tex]y^{1/4}[/tex]

so it gives

([tex]y^{1/4}[/tex])^8 – 3( [tex]y^{1/4}[/tex] )^4 +2 = 0

[tex]y^{2}[/tex] – 3y + 2 = 0

Solving the equation

[tex]y^{2}[/tex]  - 2y – y + 2 =0

([tex]y^{2}[/tex] – 2y) -1(y – 2) = 0

y(y - 2) -1(y - 2) = 0

(y-1) (y-2)

:- y = 1 or y = 2

Since x = [tex]y^{1/4}[/tex]  

When y = 1

X = [tex]1^{1/4}[/tex]

X = [tex]4\sqrt{1}[/tex]

X = 1

and when  y = 2

X = [tex]2^{1/4}[/tex]

X = [tex]4\sqrt{2}[/tex]

X = 1.1892...

Answer:

Step-by-step explanation:

Put x = 5 and y = 7 to the equation ax - 2y = 1 and solve for a:

(a)(5) - (2)(7) = 1

5a - 14 = 1       add 14 to both sides

5a - 14 + 14 = 1 + 14

5a = 15        divide both sides by 5

5a : 5 = 15 : 5

a = 3

Answer:

I like dogs because its much fun to play with them, instead of a cat and you can go on a walk with them.

Step-by-step explanation:

-2v -4 = -2x

just move the +2 to the other side then multiply by a common multiple.

Solutions to systems of equations are typically found at the point where the lines intersect on a graph. For linear equations, this is represented by the equation y = mx + b. Quadratic equations also have solutions known as roots, and ones based on physical data typically have real, positive roots.

Due to the incomplete equation and graph not provided, we can first discuss general methods for finding solutions to systems of equations. One common method is the intersection of two lines on a graph, which illustrates the system of equations. Here, the zeros on the two-dimensional (x-y) graph represent the solution to the equations:

In this scenario, the y-axis represents the variable V, and the x-axis represents the variable X. The primary task is to find the point where these two lines intersect on the graph - this is the solution to the system of equations. The equation of a line is typically a linear equation, represented as y = mx + b, where m is the slope and b is the intercept.

If the equations are quadratic, these also have solutions, known as roots. Quadratic equations constructed on physical data always have real roots, but often only those having positive values are of any significance.

Without the specifics of your graph, an exact solution cannot be provided.

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Answer:

Mrs. Jones gave 5/8 of the pizza to Gary.

Step-by-step explanation:

We are given that Mrs. Jones had [tex]1\frac{4}{8}[/tex] pizzas left from which she gave some to Gary.

Now that she is left with [tex]\frac{7}{8}[/tex] pizza left, we are to find the fraction of the pizza she gave to Gary.

Assuming [tex]x[/tex] to be the fraction she gave to Gary, we can write it as:

[tex]1\frac{4}{8} - x = \frac{7}{8}[/tex] = 5/8

Answer:

The correct answer is 5/8

Step-by-step explanation:

It is given that,Mrs. Jones had 1 4/8 pizzas left after a party. After giving some to Gary, she had 7/8 pizza left

Let 'x' be the fraction of pizza given to Gary

To find the value of x

We can write,

1 4/8 - 7/8 = x

12/8 - 7/8 =x

x = (12 - 7)/8 = 5/8

Therefore the fraction of a pizza given to Gary = 5/8

Answer:1/3  <  1 8/35  <  5/4

Step-by-step explanation:

Showing Work

Rewriting as fractions if necessary:

43/35, 1/3, 5/4

The least common denominator (LCD) is: 420.

Rewriting as equivalent fractions with the LCD:

516/420, 140/420, 525/420

Ordering these fractions by the numerator in order from least to greatest:

140/420 < 516/420 < 525/420

Therefore, your input in order from least to greatest is:

1/3 < 1 8/35 < 5/4

Answer:

Option C

Step-by-step explanation:

Given in an inequality in variable x as

[tex]3.5x>7[/tex]

In Algebra 3.5x represents the product of 3.5 with x

So the given inequality is equivalent to

the product of 3.5 and a number x is greater than 7.

Hence option C is right

C) The product of 3.5 and a number is greater than 7

Answer:

The product of 3.5 and a number is greater than or equal to 7.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Part A: You can solve the equations for an x value which make both true. You do this by setting each equation equal and using inverse operations.

2x = 4x - 2

2x - 4x = 4x - 4x - 2

-2x = -2

x = 1

Part B: You can make a table by substituting the values -4 to 4 in each equation and simplifying.

x     y = 2x      y = 4x - 2

-4           -8            -18

-3           -6             -14

-2           -4             -10

-1             -2            -6

0              0             -2

1               2              2

2              4              6

3              6              10

4              8              14

Part C: You can graph each equation and where they intersect will be the solution. They intersect at (1, 2). This is where they have the exact same x and y value in the table as well.

Answer:

When X= 1 both graphs are in (1,2)

Step-by-step explanation:

In order to evaluate the first part, where the lines intersect is you just have to equalize in opposite sides of the equation both equations:

2x=4x-2

Then you have to clear the x

2x-4x=-2

-2x=-2

x=[tex]\frac{-2}{-2}[/tex]

x=1

So your coordinates are x=1, and the Y coordinate you just evaluate one of the equations:

y=4x-2

y=4(1)-2

y=4-2

y=2

So your coordinate for y=2.

Part B, table.

To evaluate this, you just make a table, giving values to x, and you evaluate the Y:

X----Y

-4    -8

-3    -6

-2    -4

-1     -2

0      0

1       1

2      4

3     6

4     8

Part C.

YOu just hava to put it into the graph by evaluating with the tables above.

4/18=.2222x100=22.22%

Answer:

y = -3x² has the narrowest graph

Step-by-step explanation:

D)  y = -3x² has the narrowest graph.  That coefficient "3" stretches the graph of x² vertically.

On the other hand, B) has the widest graph.

Answer:

3

Step-by-step explanation:

Besides 9 and 1, 3 is one factor of 9

Factor of 9:

1 • 9

3 • 3

Answer: 3

Answer:

54π in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here r = 3 and h = 6, thus

V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}[/tex]

Answer:0 is the answer

Step-by-step explanation:

The answer would be 0 since 0 is greater than -12.

Answer:

Its would be number 2

Step-by-step explanation:

Population size: 9

Median: 14

Minimum: 4

Maximum: 19

First Quartile: 7

Third Quartile: 18

Interquatile Range: 11

Answer: Number 2

Step-by-step explanation:

just did the test its the second one in your image.

Answer:

The answer is (D) ⇒ a = 11.71 , b = 15.56

Step-by-step explanation:

* In ΔABC

∵ m∠A = 45°

∵ m∠B = 110°

∴ m∠C = 180 - 45 - 110 = 25°

By using the sin Rule

∵ a/sin(A) = b/sin(B) = c/sin(C)

∵ c = 7

∴ a/sin(45) = b/sin(110) = 7/sin(25)

∴ a = (7 × sin(45)) ÷ sin(25) = 11.71

∴ b = (7 × sin(110)) ÷ sin(25) = 15.56

∴ The answer is (D)

Answer: a= 11.71 and b= 15.56

Step-by-step explanation:

A pex

The simple interest earned on $600 put in the bank with 7% rate for 2 years is $84.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, I is the interest amount on the principal amount of P with the rate of r in the time period of t.

Given information-

The principal amount put in the bank is $600.

The rate of simple interest is 7 percent.

The number of years is 2.

Put the value in the above formula as,

[tex]I=\dfrac{600\times7\times2}{100}\\[/tex]

Solve it further as,

[tex]I=84[/tex]

Thus, the simple interest earned on $600 put in the bank with 7% rate for 2 years is $84.

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Hey there!

Let's start by solving for x.

Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y.

We now have:

x + 9 = -3x - 7

Add 3x to both sides.

4x + 9 = -7

Subtract 9 from both sides.

4x = -16

Divide each side by 4.

x = -4

Let's use the second equation, y = x + 9, to solve for x.

Put in the value we just solved for.

We now have:

y = -4 + 9

Simplify.

y = 5

Let's check our answer, starting with the first equation, y = -3x - 7.

Put in the values for x and y.

5 = -3(-4) - 7

5 = 12 - 7

5 = 5

Do the same with the second equation, y = x + 9.

5 = -4 + 9

5 = 5

The solution to the system of equations is (5, -4).

Hope this helps!

Answer:

(-4, 5)

Step-by-step explanation:

Since y = -3x - 7 in the first equation, substitute y of the second equation with -3x - 7:

-3x - 7 = x + 9

Subtract x from both sides. Add 7 to both sides.

-4x = 16

Divide both sides by -4.

x = -4

Now, substitute -4 for x in the second equation.

y = -4 + 9

y = 5

The solution is:

x = -4; y = 5

As an ordered pair, the solution is:

(-4, 5)

4²+4⁸=(2²)²+(2²)8

=2⁴+2⁸

=16+256

=272

it's from the properties of indices