5) Please solve the following equation for x
5x2 +4= -41

Answer: equilateral

Step-by-step explanation:

Answer:

7.5 units

Step-by-step explanation:

First, create a proportion by picking 2 sides:

2.5/n = 5/15

Next, cross multiply:

5n = 37.5

Finally, divide both sides to isolate the variable:

7.5

Therefore your answer is 7.5 units.

♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

C) 6.75 kilometers!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]

The length of the trail is 4.5 centimeters in the map. So,

[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]

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Answer:

I cant really read the question

Answer:

There are 4 people in Table A.

Step-by-step explanation:

Let the number of people at Table A be x and the number of people in Table B be x + 2.

[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]

72(x+2) = 108x

72x + 144 = 108x

144 = 108x - 72x

36x = 144

x = 144 ÷ 36

x = 4

Answer:

[tex]6w+15[/tex]

Answer:

6w+15

Step-by-step explanation:

You just simplify the expression

Answer:

Step-by-step explanation:

Step one:

given data

we are told that weekly salary is $300

and a commission of 7% of the weekly sales

let the sales be s

7% of s = 0.07s

hence weekly commission = 0.07s

let the total earning be y

the linear model for Mr. Randall earnings is

y=300+0.07s

step two:

For the situation whereby he earned $426

the model is given as

426=300+0.07s

let us solve for s, the sales made

426-300=0.07s

126=0.07s

divide both sides by 0.07

s=126/0.07

s=1800

Hence he made sales of $1800 for that week

Answer:

5-n squared+3 squared

Step-by-step explanation:

Answer:

A=-10x,B=-4

Step-by-step explanation:

-5x*2=-10x

-2*2=-4

Answer:

15/7. This the answer answer. But if it tells you simplify this then simplify it.

Step-by-step explanation:

Answer:

X = 15/7

Step-by-step explanation:

Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

Answer:

B

Step-by-step explanation:

Answer:C and E

Step-by-step explanation:

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that, an employee earns $14 per hour.

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y=14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b=a+0.03a

⇒ b=1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20+5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

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Answer:

(6, -1)

Step-by-step explanation:

Solve the System of Equations

2x + 3y = 9 and x − 2y = 8

Add 2y to both sides of the equation.

x = 8 + 2y 2x + 3y = 9

Replace all occurrences of x with 8 + 2y in each e quation.

Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9

x = 8 + 2y

Simplify 2 (8 + 2y) + 3y.

16 + 7y = 9

x = 8 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

7y = −7

x = 8 + 2y

Divide each term by 7 and simplify.  

y = −1

x = 8 + 2y

Replace all occurrences of y with −1 in each equation.

Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)

y = −1

Simplify 8 + 2 (−1).

x = 6

y = −1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6, −1)

The result can be shown in multiple forms.

Point Form:

(6, −1)

Equation Form:

x = 6, y = −1

Answer:

(6, -1)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

[tex] a_n = 31 - 3n\\\\

a_{30}= 59[/tex]

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

[tex] a_n = a + (n - 1) d\\[/tex]

Plugging a = 28 & d = - 3 in the above equation, we find:

[tex] a_n = 28 + (n - 1) (-3)\\\\

a_n = 28 - 3n +3\\\\

\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\

Plug \: n = 30, \: we \: find:\\\\

a_{30}= 31 - 3 \times 30\\\\

a_{30}= 31 - 90\\\\

\huge\orange {\boxed {a_{30}= 59}} \\\\

[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

D. [tex] Cos(Z) = \frac{5}{13} [/tex]

Step-by-step explanation:

Using trigonometric ratios formula, thus:

[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = Z

Adjacent = 10

Hypotenuse = 26

Plug in the values into the formula

[tex] Cos(Z) = \frac{10}{26} [/tex]

Simplify

[tex] Cos(Z) = \frac{5}{13} [/tex]

Answer:

it is 24 . Logically in my idea .

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

[tex]let \: \: ? = x[/tex]

[tex] \frac{7}{49} = \frac{8}{x} [/tex]

Now we solve with cross multiplication

[tex]7 x = 392 \\ x = 56[/tex]

Now we know the mystery number is 56

Answer:

is there a question?

Step-by-step explanation:

Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.

The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,

The total surface area of the hemisphere = 3πr²

462 cm² = 3πr²

r² = 462/(3π) cm²

r² = 49.0197 cm²

r = 7 cm

Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,

Therefore, we can write,

Total surface area = 4πr²

                              = 4 × π × (7 cm)²

                              = 615.75216 cm²

Hence, the total surface area of the formed figure is 615.75216 cm².

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Answer:

Step-by-step explanation:

Step one:

given data

expected customers= 1200

actual customers= 725

the percent error= (actual-expected)/expected

substituting the given values we have'

%error=725-1200/1200

%error=475/1200

%error=0.395

To the nearest tenth we have 0.4

%error=0.4*100

%error=40%

Hence the percent error is 40%

Answer:

40%

Step-by-step explanation:

Answer:

$875

Step-by-step explanation:

5000/ .05 =

250

250 x 3.5 =

875