The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip? 2 and one-half gallons gallons gallons 8 and one-third gallons

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

It's given that ∠AOB ≅ ∠COD

therefore, m∠AOB = m∠COD

Now from the given measures of the equal angles,

9x - 5 = 6x + 10

9x - 6x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = [tex]\frac{15}{3}[/tex]

x = 5

Therefore, measure of the angles given in the picture will be,

m∠AOB = (9x - 5)° = 40°

m∠BOC = (2x + 11)° = 21°

m∠COD = (6x + 10)° = 40°

Answer:guy who answered first is wrong the answer is x = 9

Step-by-step explanation:

Answer:

This is the answer

Step-by-step explanation:

Solving    3x2-9x-5 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -9

                     C   =   -5

Accordingly,  B2  -  4AC   =

                    81 - (-60) =

                    141

Applying the quadratic formula :

              9 ± √ 141

  x  =    —————

                   6

 √ 141   , rounded to 4 decimal digits, is  11.8743

So now we are looking at:

          x  =  ( 9 ±  11.874 ) / 6

Two real solutions:

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

or:

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

Two solutions were found :

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

Answer:

perimeter of a square= 4 times square root of area

[tex]4 \sqrt{54} = 29.39[/tex]

Answer:

yes because 0.5 is 50%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

So we have the system of equations:

[tex]x-2y=3\\2x-3y=9[/tex]

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

[tex]x=3+2y[/tex]

Now, substitute this into the secon equation:

[tex]2(3+2y)-3y=9[/tex]

Distribute the 2:

[tex]6+4y-3y=9[/tex]

Combine like terms:

[tex]6+y=9[/tex]

Subtract 6 from both sides:

[tex]y=3[/tex]

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

[tex]x=3+2(3)[/tex]

Multiply:

[tex]x=3+6[/tex]

Add:

[tex]x=9[/tex]

So, our answer is (9,3)

And we're done!

=======================================================

Explanation:

The given equation y = (-2/3)x+1 is in the form y = mx+b

m = -2/3 is our slope

b = 1 is the y intercept

The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.

Another point can be found using the slope

Recall that slope = rise/run

Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.

The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.

The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.

Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

Answer:

Option (4)

Step-by-step explanation:

Domain:

Domain of function is defined by the x-values (Input values) on the graph.

Range:

Range of a function is defined by the y-values (output values) on the graph.

From the graph attached,

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3).

Option (4) will be the answer.

Answer:

-4.5 is correct answer

Step-by-step explanation:

[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]

hope it helped you:)

Answer:

c= 9.2

Step-by-step explanation:

a^2 +b^2=c^2

6^2 + 7^2 = c^2

36+49 =85

= 9.2

Than take 85 and [tex]\sqrt{85)[/tex]you have to make sure you square the number so it will be accurate.

c=9.2

i hope this helped

Answer:

The solution to a multiplication problem is called a product.

Step-by-step explanation:

Answer:

x=√2 or x=−√2

Let's solve your equation step-by-step.

6=3x2

Step 1: Subtract 3x^2 from both sides.

6−3x2=3x2−3x2

−3x2+6=0

Step 2: Subtract 6 from both sides.

−3x2+6−6=0−6

−3x2=−6

Step 3: Divide both sides by -3.

−3x2

−3

=

−6

−3

x2=2

Step 4: Take square root.

x=±√2

x=√2 or x=−√2

Answer:

16-5=11

Step-by-step explanation:

Answer:

£15.75

Step-by-step explanation:

£145.50 - £129.75

Answer:

The shop keeper made 15.75$ in an hour.

Step-by-step explanation:

Minus 129.75-145.50

I believe the answer is 3/4.

Answer:

1/4+2/4=3/4 I believe so

Step-by-step explanation:

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No results for Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?

Answer:

let the x no of days the television is rented

22+4x=46

4x=46-22

4x=24

x= 6days

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We are given the function.

[tex]h(x)=e^{2x}[/tex]

And we want to find its inverse.

Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:

[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]

In conclusion, our answer is C.

Note:

[tex]\ln(x)=\log_ex[/tex]

Answer:

[tex]w=\frac{3}{2} ,-1[/tex]

Step-by-step explanation:

[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]

and the other case

[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

Read more on trigonometric ratios;

https://brainly.com/question/10417664

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Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week

Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.

Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours

i hope this helps you good luck :)

Answer:

hey

Step-by-step explanation:

i cant text u add me ok it deleted my answer

Answer:

1315, 13.09, 13, 13.5%.

Step-by-step explanation:

13.5% is less than 1 because 100% = 1.

Answer:

The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.

He can fix it by correcting the wrong numbers.

Step-by-step explanation:

American car produce 5,650,000 cars each year.

When writing a report Ben wrote down that americans produce 6,550,000 cars every year

Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.

Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.

Hence, doing this will give him the correct number of cars which is 5,650,000 cars.

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt[3]{8.10^{15} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\sqrt[3]{10^{15} }[/tex]

= 2 × [tex]10^{5}[/tex]

= 200000

Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4