Which ordered pair is the best estimate for the solution to the system?



(4.8,5.2)

(5.5,4.3)

(5.1,4.8)

(6.5,5.2)

Answer:

50 and 60 mph respectively

Step-by-step explanation:

Step one:

given data

total distance= 450 miles

time take= 9 hours

Required

Tom and Tammy's average speed

Step two:

Tom's average speed= 450/9

= 50 miles per hours

Tammy's average speed= 450/7.5

= 60 miles per hours

Answer:

8/17

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the ratio.

Step 2: Identify

POV from angle S

Adjacent = 8

Hypotenuse = 17

Step 3: Write

Answer: The number of yes votes = 1918.

Step-by-step explanation:

Given : The ratio of yes to no votes = 2:3

Then the ratio of yes to total votes = [tex]\dfrac{2}{2+3}=\dfrac25[/tex]

Total votes = 4795

Number of yes votes  =  (ratio of yes to total votes) x (Total votes )

= [tex]\dfrac{2}{5}\times4795=1918[/tex]

Hence, the number of yes votes = 1918.

Answer = 33.75%

Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.

.45*75 = 33.75 of the original 100 Applicants have enrolled.

Answer:

0.53

Step-by-step explanation:

Hope this helps.

Answer: The five exponent properties are

Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.

Power to a Power: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).

Quotient of Powers: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.

Power of a Product: The Power of a Product rule is another way to simplify exponents. When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.

Power of a Quotient: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power

You can use these any way you want to rewrite an equation.

Hope this helped

Step-by-step explanation:

Answer:

An angle can be named in different ways:

•by a number or letter written inside the angle.

•by the name of the vertex.

•by the vertex and a point on each ray.

Answer:

a

Step-by-step explanation:

Answer:

the value of x is one of those answers i can tell you son

Step-by-step explanation:

and it is NOT 3/4 thast FOR SURE

1. f(x) = x² + x + 4

f(x) = 0

0 = x² + x + 4

-4 = x² + x

2. linear equation

one solution

9514 1404 393

Answer:

  12 m

Step-by-step explanation:

The distances of interest are the sides of a right triangle whose right angle is at Bruce. The hypotenuse of the triangle is the Teacher-Ruth distance. The unknown side (x) can be found using the Pythagorean theorem:

  x² + 9² = 15²

  x² = 225 -81 = 144

  x = √144 = 12

Bruce and Ruth are 12 meters apart.

Answer:

28

Step-by-step explanation:

hope this helps

Answer:

28

Step-by-step explanation:

70% is equal to 70/100. "of" when used in math means multiplaication.

so we do 70/100 x 40

we can simplify 70/100 to get 7/10.

now we multiply:

7/10 x 40 = 28

Answer:

36, 45

Step-by-step explanation:

Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.

Answer:A ..

Step-by-step explanation:

Answer:

25 weeks

Step-by-step explanation:

step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200

step 2.- subtract 450 from each side

1200=30x+450

-450           -450

750=30x

step 3.- divide by 30 on both sides

750=30x

30    30

x=25

i dont know if this helps but i am still learning how to explain on here. :)

Answer:

it will take him 25 weeks

Step-by-step explanation:

because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.

Answer:

Step-by-step explanation:

The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.

J = 22x + 10

G = 28x + 0

In these equations the variable x represents the number of hours each of the bicyclists have biked.

Answer:

The elements of the set C will be:

C = {-2, -1, 0, 1, 2, 3, 4, 5}

In other words,

[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]

The solution number line is also attached below.

Step-by-step explanation:

C = {x ∈ Z | such that -2 ≤ x < 6 }

It is clear that the x ∈ Z, meaning the x belongs to the set of integers Z.

It is given that -2 ≤ x < 6.

so x must be greater than or equal to -2 and less than 6.

Therefore, the elements of the set C will be:

C = {-2, -1, 0, 1, 2, 3, 4, 5}

In other words,

[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]

The solution number line is also attached below.

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

Answer:

[tex]x=\frac{15+\sqrt{165} }{6}, \frac{15-\sqrt{165} }{6}[/tex]

These should be the the two values for x

Explanation:

Answer:

<A and <C

Step-by-step explanation:

If EA and EC are congruent, the angles <A and <C are also congruent

Answer:

angle A congruent to angle C

Answer:

tell me the choices so i can help you............

Answer:

0.428x

Step-by-step explanation:

The price of a smart phone is "x" and is discounted 40% for a special promotion.

Step 1

The price after the discount is:

40% of x

= 40x/100

= 0.4x

Step 2

We calculate the exact amount the sales tax is.

You must also pay 7% sales tax on this purchase.

= 7% × 0.4x

= 7/100 × 0.4x

= 0.028x

Step 3

The final price for this purchase is calculated as:

0.4x + 0.028x

= 0.428x

Hence, the final price for this purchase is 0.428x

Answer:

a. $583

b. $30,316

Step-by-step explanation:

a. Commission last week;

= 5,300 * 11%

= $583

b. Commission in 2011 assuming weekly earnings of $583.

= 583 * 52 weeks

= $30,316

Answer:

Step-by-step explanation:

Those angles are vertical angles, so their measure are equal, so we can set them equal to each other to solve this problem.

5x - 8  =  3x + 16

2x - 8  =  16

2x  =  24

x  =  24 / 2

x  =  12

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.