Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Answer:

The Answer is 4 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since both fractions have like denominators  , you can just add them:

12/3 + 2/3 = 14/3

Since 14/3 is improper fraction, it should be turning to a mixed number:

14 can go into 3, 4 times since 4 times 3 is 12. 14 - 12 is 2, so it will be your numerator.

4 2/3

Answer:

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

2. Set the equations that relate the variables:

        equation (1): x = 2y - 46

         equation (2): x + y = 122

3. Solve the system:

Substitute equation (1) into equation (2)

Solve for y:

Subsitute the value on y in equation 1, to find the value of x:

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

Final answer:

Using a system of equations with the variables B (the average salary for a bachelor's degree) and M (the average salary for a master's degree), we solved to find that the average yearly salary for an individual with a bachelor's degree is $56,000 and with a master's degree is $66,000.

Explanation:

The problem at hand involves creating two algebraic equations to solve for the average yearly salaries of individuals with a bachelor's degree and a master's degree based on the provided information. Let the average yearly salary for an individual with a bachelor's degree be represented by B, and the salary for an individual with a master's degree be represented by M.

According to the problem, the average yearly salary of an individual with a master's degree is $46 thousand less than twice the salary of an individual with a bachelor's degree, so we can write the first equation as: M = 2B - 46.

The second equation comes from the fact that combined, their earnings amount to $122 thousand, so: B + M = 122.

Now, we can substitute the first equation into the second to solve for B: B + (2B - 46) = 122. Simplifying, we get 3B - 46 = 122. Adding 46 to both sides gives 3B = 168, and dividing by 3 yields B = 56. So, the average salary for someone with a bachelor's degree is $56,000.

To find the salary for a master's degree holder, we substitute B = 56 into the first equation: M = 2(56) - 46. That simplifies to M = 112 - 46, giving us M = 66. Hence, the average salary for someone with a master's degree is $66,000.

Answer:

Ur answer

Step-by-step explanation:

If A4 paper has width 21cm and length of 30cm

Then,

A5 paper has a length of 21cm

So find the width,

A4 has width 30cm

so,

A5 must have half the answer

15cm

The width of A5 paper is 21cm, which is derived from the length of A4 paper, based on the standard ratio of the A series paper sizes.

The width of A5 paper can be determined using the properties of the standardized A series paper sizes. As A4 paper has dimensions of 21cm by 30cm and the A series has a height to width ratio of the square root of 2, when an A4 sheet is cut in half, it results in two A5 sheets.

Thus the length of A4 becomes the width of A5. To find the width of A5, we simply take the length of A4, which is 21cm in this case.

Therefore, the width of an A5 sheet is also 21cm, making the dimensions of A5 paper 21cm by 14.85cm (since half of 30cm is 14.85cm).

After combining like terms, the expression simplifies to 58.25n + 30p - 2, which does not match any of the provided answer choices, indicating an error in the options given.

To simplify the expression 1 + 4.25n + 32p

dash; 3 + (

minus;
2p) + 54n, we combine like terms. Let's first combine the constant terms (1 and -3), the 'n' terms (4.25n and 54n), and the 'p' terms (32p and -2p).

First, we handle the constants: 1 - 3 = -2

Now, combine the 'n' terms: 4.25n + 54n = 58.25n

Then, combine the 'p' terms: 32p - 2p = 30p

The simplified expression is 58.25n + 30p - 2, which matches none of the given options (A, B, C, D). There appears to be an error since the proper simplification does not align with the options provided.

In the given case, the correct answer is B. 9.5n + 1.5p - 2 which is the simplified expression.

The correct distribution should be:

[tex]\(1.5 \times 39n = 58.5n\) (which is correct)[/tex]

[tex]\(1.5 \times 20p = 30p\) (which is correct)[/tex]

 So the correct simplified expression is:

58.5n + 30p - 2

 Now, let's convert the decimals to fractions to match the format of the options provided:

[tex]\(58.5n = 58\frac{1}{2}n = 58n + \frac{1}{2}n = 58n + 0.5n\)[/tex]

30p = 30p

 So the expression becomes:

58n + 0.5n + 30p - 2

Therefore, the final simplified expression is:

9.5n + 30p - 2

However, we must correct the coefficient of p to match the format of the options. Since 30p  is actually [tex]\(1.5 \times 20p\)[/tex] , we should have:

1.5p = 30p

 Thus, the correct final simplified expression is:

9.5n + 1.5p - 2

Answer: .679

Step-by-step explanation:

move the decimal to the left two places.

Answer:

Step-by-step explanation:

[tex]y=4x-4\\\\\text{Substitute the coordinates of each points to the equation}\\\text{and check the equality.}\\\\1.\ (0,\ 4)\to x=0,\ y=4\\\\4=4(0)-4\\4=0-4\\4=-4\qquad\bold{FALSE}\\\\2.\ (0,\ -4)\to x=0,\ y=-4\\\\-4=4(0)-4\\-4=0-4\\-4=-4\qquad\bold{TRUE}\\\\3.\ (-4,\ 0)\to x=-4,\ y=0\\\\0=4(-4)-4\\0=-16-4\\0=-20\qquad\bold{FALSE}\\\\4.\ (4,\ 0)\to x=4,\ y=0\\\\0=4(4)-4\\0=16-4\\0=12\qquad\bold{FALSE}[/tex]

Answer:

What is it you would like help with, because the file does not work for me.

Step-by-step explanation:

Answer:

$1.29

Step-by-step explanation:

5.16 divided by 4

Answer:

Step-by-step explanation:

you put the equation in slope and intercept form by making y the subject of the formula

i.e

y = -2x + 2

-2 is the slope and 2 is the intercept

Answer:

Step-by-step explanation:

2x + y = 2

Making y as subject

y = - 2x + 2

And the equation is y = mx + c

Where m is slope = -2

Y intercept = 2

Answer:

90

Step-by-step explanation:

450/5

Answer:

90

Step-by-step explanation:

450 / 5 = 90

Answer:

71.5

Step-by-step explanation:

650 / 100 = 6.5

6.5 x 11 = 71.5

Answer:

The area of the irregular figure is  366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle +  1 right Triangle

Area of the Rectangle:

Length of the rectangle = 21 cm,

Width of the rectangle  = 14 cm

AREA of Rectangle =  LENGTH x WIDTH

          =  21 cm x 14 cm =  294 sq cm

⇒Area of the Rectangle  =   294 sq cm   ..... (1)

Area of the Right Triangle:

Base of the rectangle = 16 cm,

Height of the rectangle  = 21 cm -  12 cm = 9 cm

AREA of Right Triangle =  [tex]\frac{1}{2} \times B \times H[/tex]

          [tex]= \frac{1}{2} \times 16 \times 9 = 72[/tex]

⇒Area of the Right Triangle   =   72 sq cm   ..... (2)

Now, area of the irregular figure  = Area of the( Rectangle  +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is  366 cm sq.

Answer:

366 sq. ft

Step-by-step explanation:

First, we have to find the area of the triangle. To do this we have to find the height of the triangle which can be done by subtracting 12 from 21 to get 9. Then we multiply 16 by 9 to get 144 and divide it by 2 to get 72. Now we must find the area of the rectangle. To do this we have to multiply 14 and 21 to get 294. Now we have to add the values together to get 366.

Answer:

You cant solve for how far you can go, but you can make an equation.

Step-by-step explanation:

A= The initial fee

$1.80=per mile

$12=The max amount of money

A+1.80x=$12

And you would subtract A from the $12 first!

Good Luck!

Answer:

Substitute x = 6 into the equation 3x-18

Answer:

A.) Subsitute 6 for x in the equation.

Step-by-step explanation:

I’m smart :).

Answer:hfgjvggunycdvjk8nyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyum

Step-by-step explanation:

Answer: probility that it lands on

Head up is 1/8 or 12.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtraction because there is a minus sign

Answer:

Subtraction

Step-by-step explanation:

- this sign means to take away or in other words subtract.

The height of wall of play structure is 8.48 feet

Solution:

A climbing wall leaning against the top of a play structure forms a right triangle with the ground

The figure is attached below

ABC is a right angled triangle

AB is the height of wall of play structure

Let "x" be the height of wall of play structure

AB = x

BC is distance from the bottom of the climbing wall to the base of the play structure

BC = 7 feet

AC is the length of climbing wall

AC = 11 feet

We can apply pythogoras theorem for right angled triangle

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

Therefore, by above definition for right angled triangle ABC,

[tex]AC^2 = AB^2+BC^2[/tex]

Substituting the values we get,

[tex]11^2 = x^2 + 7^2\\\\121 = x^2 + 49\\\\x^2 = 121-49\\\\x^2 = 72\\\\\text{Take square root on both sides }\\\\x = \sqrt{72}\\\\x = 8.48[/tex]

Thus the height of wall of play structure is 8.48 feet

Answer:

8ft

Step-by-step explanation:

i did the test on T4L

Answer:

The correct answer is B. 144°

Step-by-step explanation:

Let's recall that in a trapezium the bases are parallel and one of its properties is that  the two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.

Upon saying that, we can find out the value of a and b, this way:

∠a = 180 - 36

∠a = 144

∠b = 180 - 113

∠b = 67

But the question is regarding ∠a. Then the correct answer is B. 144°

Answer:

C

y - y1 = m (x - x1)

(y - y1) / m = x - x1

x = (y - y1) / m + x1

Step-by-step explanation:

We have,

[tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]

To find, the value of h = ?

∴ [tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]

⇒ [tex]6h^5[/tex] + (0)[tex]h^4[/tex] - 12[tex]h^3[/tex] + (0)[tex]h^3[/tex] + (0)h = 0

⇒ [tex]6h^5[/tex] + 0 - 12[tex]h^3[/tex] + 0 + 0 = 0

⇒ [tex]6h^5[/tex]  - 12[tex]h^3[/tex] = 0

Taking 6 [tex]h^3[/tex] as common, we get

[tex]6h^3(h^2-2)[/tex] = 0

⇒6[tex]h^3[/tex] = 0 or,   [tex]h^2[/tex] - 2 = 0

⇒ 6[tex]h^3[/tex] = 0 ⇒ h = 0

⇒ [tex]h^2[/tex] = 2  

⇒ h = ± [tex]\sqrt{2}[/tex]

Hence, the value of h = 0,  ± [tex]\sqrt{2}[/tex]

Answer:

27:72

Step-by-step explanation:

First I would convert three days to hours. 24×3=72

Answer: 27:72

The ratio of the two times will be 3 / 8.

A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons.

The ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given that compare in hours: 27 hours to 3 days. The ratio will be calculated as:-

In 3 days there are 72 hours.

Ratio = 27 / 72 = 3 / 8

Therefore, the ratio of the two times will be 3 / 8.

To know more about a ratio follow

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The product of f(x) = 2x + 6 and g(x) = -5x - 9 is found by multiplying out the terms, resulting in -10x^2 - 48x - 54, which corresponds to option B.

The student is asking to find the product of two functions f(x) = 2x + 6 and g(x) = -5x - 9. To find the product, we multiply the two functions together:

f(x) * g(x) = (2x + 6) * (-5x - 9)

Distribute each term in the first function by each term in the second function:

2x*(-5x) + 2x*(-9) + 6*(-5x) + 6*(-9)

= -10x^2 - 18x - 30x - 54

Combine like terms:

= -10x^2 - 48x - 54

Therefore, the correct answer is B. -10x^2 - 48x - 54.

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Explanation:

The equation is [tex]5x^{2} +3x-4=0[/tex]

The equation is of the form [tex]ax^{2} +bx+c=0[/tex]

Thus, [tex]a=5, b=3,c=-4[/tex]

To find the quadratic formula, the general formula to find the quadratic roots is [tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Hence, substituting the values of a,b,c in the formula, we get,

[tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Thus, Option A is the correct answer.

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Answer:

The answer is X^2=36

The equivalent equations of [tex]log_x36 = 2[/tex] are 36 = x² and x =  6.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Equation [tex]log_x36 = 2[/tex]

We know the logarithmic function:

[tex]log_bx = a[/tex]

Then,

x = bᵃ

[tex]log_x36 = 2[/tex]

36 = x²

x =  6

Therefore, 36 = x² and x =  6 are the equivalent expressions.

To learn more about the logarithms;

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Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

5+{2*[(5-1)+6]}/4

{2*[(5-1)+6]}

First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

{2*[4+6]}

Next you would go 4+6=10, because that is your next smallest bracket

{2*10}

Last you would go 2*10=20

Your equation now looks like this

5+{20}/4

In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

5+5

You would go 20/4=5

Last step is to add/subtract

5+5=10

Your final answer would be 10

Hope this helps ;)

Step-by-step explanation:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-5, -1) and (6, -5). Substitute:

[tex]m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}[/tex]

Put the value of a slope and coordinates of a point to the equation of a line:

[tex](-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)[/tex]

[tex](6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)[/tex]

Answer:

Step-by-step explanation:

98÷14

=7

686÷98

=7

4 802÷686

=7

33 614÷4 802

=7

Then the common ratio q for this sequence is 7

recursive formula : an+1 = q×an = ?

an= a1 × qⁿ⁻¹

   =2×7ⁿ⁻¹

an+1 = q×an

        = 7×(2×7ⁿ⁻¹)

       = 2×7ⁿ

Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )

Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.

The common ratio here is 7, which is derived as

14/2, or 98/14, or 686/98, or 4802/686...

In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.

Therefore the formular for this progression is given as

AR^n-1

Where A = 2, R = 7 and n = the nth term.

Answer:

Hi

Step-by-step explanation:

Sunndmdmd

Answer:

slope = 0

Step-by-step explanation:

recall that the equation of a line can be expressed as:

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

in our case we are given y = 3

which can be re-written:

y = (0)x + 3

if we compare this with the general equation above, we can see that

slope = m = 0

Answer: the slope is zero

Step-by-step explanation:

The equation of line in slope - intercept form is given as : y = mx + c , where m is the slope and c is the y - intercept. This means that the line y = 3 is a horizontal line that passes through the point y = 3 , therefore , the slope is zero