A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a private contractor charges $75 per hour to develop a logo plus a $100 supply fee. which equation can be solved to determine x, the number of hours after which the costs would be the same? 50x 250 = 75x 100 50 250x = 75 100x 50x 100 = 75x 250 50 100x = 75 250x

Answer:

102 miles

Step-by-step explanation:

In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])

In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]

Converting yards to miles is:  [tex]x (yards) / 1760[/tex]

[tex]180000/1760 = 102.2727272...[/tex]

∴ The bus will travel 102 miles in 2 hours.

Answer:

Yed, it is possible as

Step-by-step explanation:

4 + 5 = 9

So, sum of two sides of a triangle is always greater than the third side(largest one)

Answer:

161

Step-by-step explanation:

It's a system of equations, let's solve it step-by-step!

Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]

2^5 = 32

so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].

3 * 32 = 96

so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].

13 * (-2) = -26

so we have [96 - 26] + 7[8 - (4 - 9)].

96 - 26 = 70

so we have 70 + 7[8 - (4 - 9)].

4 - 9 = -5

so we have 70 + 7[8 - (-5)].

8 - (-5) = 13 (the signs cancel out)

so we have 70 + 7[13].

7 * 13 = 91

so we have 70 + 91.

70 + 91 = 161

Therefore our answer is 161.

The area of the cylinder is the amount of space on it.

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

The lateral surface area of a cylinder is:

L = 2πrh

The question is incomplete. Assume the following parameters

Radius, r = 10

Height, h = 5.

Then we have:

L = 2 * 3.14 * 10 * 5

Evaluate the product

L = 314

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

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Answer:

B, D, E

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

the angle Θ between vectors a and b is

cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°

Answer:

cos θ= 60°

Step-by-step explanation:

cos θ= a . b/।a। ।b।

=15/2/3×5

=15/30

=1/2

cos θ=cos60°

θ=60

Answer:

h = 11.3 cm

use tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:

=========

[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]

[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]

[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]

Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression

Step-by-step explanation:hope this can help you :)

Answer:

53

Step-by-step explanation:

I'm sure the answer is B if it's not B it's A trust

Answer:

75%

Step-by-step explanation:

Answer:

The selling price is $62.50 And b is is 75%

Step-by-step explanation:

Answer:

x = -27

Step-by-step explanation:

x(x+3)=2(x+15)

x+3=2x+30

x+3-2x+30

x-2x=30-3

-x=30-3

-x=27

x = -27

Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)

The graph that represents the solution set for x > -6 is Graph D.

In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.

To find the solution set for the inequality 2x + 3 > -9,

2x + 3 > -9

Subtract 3 from both sides:

2x > -12

Divide both sides by 2:

x > -6

The solution set for the inequality is x > -6, which means that x is greater than -6.

So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.

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Answer:

(3x-2)^2

Step-by-step explanation:

3^2x^2-2*3x*2+3^2

(3x)^2 -2*3x*2+2^2

And youll get (3x-2)^2

Answer:

A) 24

Step-by-step explanation:

½(6)(6+2) = ½ (48) = 24

Answer:

Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

Total: 528 cm²

Step-by-step explanation:

Hope this helps!

Answer:

4:08

Step-by-step explanation:

The current time is 3:30, 38 minutes later would be 4:08

Answer:

what table???

Step-by-step explanation:

Answer:

D, D, B

Step-by-step explanation:

multiply 744 by 1,000 to get your meters.

7 times the cost of each lawn, X will equal 210.

25 minus 12 is 13

this holds true for the one below also

Answer:

A

Step-by-step explanation:

a. 4350 * 0.25 = 1087.50, food + transportation = 500 + 150 = 650, 650<1087.50, correct

b. 4350*0.5=2175, 1600 doesnt equal 2175, wrong

c. 4350 * 0.2 = 870, 500<870, wrong

d. 200<1087.50, wrong

Answer:

Graph A

Step-by-step explanation:

[tex]circumference = 2 \times \pi \times r[/tex]

[tex]circumference = 2 \times \pi \times 7[/tex]

[tex]circumference = 14\pi[/tex]

Answer:

14π

Step-by-step explanation:

Given:

To determine the circumference of the circle, we need to use the formula 2πr, where "r" represents the radius of the circle.

Substitute the radius in the formula:

[tex]\implies 2\pi (r) = \text{Circumference}[/tex]

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

Simplify the circumference:

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

[tex]\implies 14\pi = \text{Circumference}[/tex]

Thus, the circumference is 14π.

Answer:

Option A :- 0. 0385

Step-by-step explanation:

Since a is the first letter in the alphabet

and in total there are 26 alphabet

We divide 1 by 26

⇢ 1 ÷ 26

⇢ 0.038461538461538

⇢ 0. 0385

Probability = 0. 0385

~Done~

Answer:

[tex]\huge\boxed{\bf\:0. 0385}[/tex]

Step-by-step explanation:

Told number of alphabets in the English language

= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}

= 26 alphabets.

Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.

Probability that the letter chosen at random is 'A'

= Alphabet 'A' / Total number of letters

= 1/26

= 0.0385

[tex]\rule{150pt}{2pt}[/tex]

The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.

An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49

sinθ = 1/2

θ = sin⁻¹ (0.5) = 30⁰

tan(30) = s² / 49

s = 5.32 ft/s

Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.

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We can try for loops along with conditional statements to get the indices of the needed numbers.

Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).

For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:

for idx_1 in range(len(arr)//2 + 2):

   num_1 = arr[idx_1]

   found = 0

   for idx_2 in range(idx_1 + 1, len(arr)):

       num_2 = arr[idx_2]

       if target == num_1 + num_2:

               print(idx_1, idx_2)

               found = 1

               break

   if found: break

Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.

This python code gives the indices of a pair of two numbers from the array given which adds up to the target.

Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.

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Answer:

(- 2, - 3 )

Step-by-step explanation:

y = 3x + 3 → (1)

y = x - 1 → (2)

substitute y = 3x + 3 into (2)

3x + 3 = x - 1 ( subtract x from both sides )

2x + 3 = - 1 ( subtract 3 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 2 - 1 = - 3

solution is (- 2, - 3 )

Answer:

y = -3, x = -2

Step-by-step explanation:

1. Substitute "y = x - 1" in for y in the first equation:

x - 1 = 3x + 3

2. Isolate x:

x = 3x + 3 + 1

3. Combine like terms:

-2x = 4

4. Solve for x:

-2x/-2 = 4/-2

x = -2

5. Solve for y with substitution (using the second equation):

y = -2 - 1

y = -3

hope this helps!