A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 1125 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?

3 root 2

root 3 x root 6 = root 18

to write it in its simplest form, we have to reduce the number to a situation, where we have a product that includes a perfect square and and another number

let me break that down

let us use another example;

root 8

we think of the largest perfect square that is also a factor of 8

then, we conclude to our answer; 4

next, we think of the number that multiplies with 4 to give is 8 and that is 2

so, we bring the 4 outside by square rooting it and everything gives us

2 root 2

to open this, we just square the 2 outside and multiply it by the 2 inside to give us root 8

if we apply this example to our question,

root 18 = root 9 * 2

this is because 9 is the largest square and factor of 18 and 2 multiplies with 9 which gives us root 9 * 2

then, we square root 9 to give us 3 and we bring this 3 out to give us

3 root 2

hope this helps.

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thank you

Answer:

the answer is the last option, y > 2x-2

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities y ≤ -2x - 1 and y > -2x + 3, plotting the two inequalities using the geogebra online graphing tool.

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

Find out more on Inequality at: brainly.com/question/24372553

Answer: 0

Explanation: Divide 2 and 11, and you get 2/11 and multiply that with 55 you get 10 and 10 - 10 equals 0! ^^

Answer:

68

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:68

Step-by-step explanation:

5+9*7=68

Answer:

5

Step-by-step explanation:

4x5+12=32mm

Step-by-step explanation:

Using Trigonometry,

Let the height be AD, angle containing 90° be B and the angle containing 65° be C, respectively.

cos 30° = AD/40

AD= 40√3/2 = 20√3.

<DAC = 25°.

cos 25° = AD/AC

0.90 = 20√3/AC

AC = 38.49. is the value of x.

please try to understand the marking accordingly.

hope this helps you.

Answer:

210cm cubed

Step-by-step explanation:

Width x length x height

3x7x10

Answer:

4x + y = 6 is a function.   The graph will cross the y-axis at point (0, 6)  and crosses the x-axis at point (1.5, 0)

Step-by-step explanation:

Solve for y:  4x + y = 6

                      y = -4x + 6

Slope is -4 and the y-intersect is 6.  

Now solve for x when y = 0. This action will give you the x-intersect.

 4x + y = 6

 4x + 0 = 6

  4x = 6

    x = 6/4 or 1.5                            

The graph will cross the y-axis at point (0, 6)  and crosses the x-axis at point (1.5, 0)

it will take about 4.7 hours since u dont know what time she left so the time will be shown as x and if they are averagely going the same speed then it will take around the same time or.about 4.5 or 4.6 around this time she will catch up to him since he's cruising and she's in a sport race just some difference

Answer:5.25

Step-by-step explanation:

Rate×Time=Distance

Drive Rate Time Distance

Mr. Chandler's drive 35 4.5+x 35(4.5+x)

Mrs. Chandler's drive 65 x 65x

35(4.5+x)= 65x

157.5 + 35x= 65x

157.5 = 30x

5.25 = x

Answer:

y = 9

Step-by-step explanation:

1. We know that the line the angles fall on is a straight angle, meaning it's worth 180°.

2. Given the information above, 8y + 96 + 12 = 180.

3. (Solving equation above).

Step 1: Simplify both sides of the equation.

Step 2: Subtract 108 from both sides.

Step 3: Divide both sides by 8.

Step 4: Check if solution is correct.

Therefore, y = 9.

Answer:

12calories per 1ounce

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{\dfrac{2}{7}*9}{\dfrac{2}{7}}= 9[/tex]

2/7 in the numerator and denominator will get cancelled

Answer:

idj

Step-by-step explanation:

hope this helps

The option first, option second, option fourth, and option fifth are correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

AD

EB bisect angle AEC

From the figure:

Angle CED is a right-angle triangle

So,

Angle CEA is also a right-angle triangle

Angle CEB = Angle BEA = 90/2 = 45 degrees

Angle DEB = Angle CED + Angle CEB = 90 + 45 = 135 degrees

Thus, the option first, option second, option fourth, and option fifth are correct.

Learn more about the angle here:

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#SPJ1

Answer:

The time on the clock is 9:18

Answer:

The clock shows the time of 09:18.

Answer:

253.75

Step-by-step explanation:

Total height of the cylinder is  8 ft . Since the tank holds 580 gallons when filled to capacity so in 1 ft height there will be  \frac{580}{8}  gallons oil when filled to capacity .

Answer:⬇️⬇️⬇️⬇️

Step-by-step explanation: Area of a triangle = ½base times height⇒ A = ½bh

Given that the area is 24 and the base is 8, we would have this equation

24 = ½(8)h

24 = 4h divide both sides by 4

6 = h So the height of the triangle is 6 feet

CHECK

A = ½bh

24 = ½(8)(6)

24 = 4(6)

24 = 24√

Answer:this is the answer of the question like at it

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Based on the information given, the probability that all three are correct will be 0.0000217.

From the information given, there are six multiple-choice questions, each with three possible responses.

If an individual is guessing the answers so that all outcomes listed in the tree are equally likely, the probability that the person will guess the one sequence that contains all six correct answers will be:

A = correct answer = 1/6

B = incorrect answer = 1 - 1/6 = 5/6

The probability of guessing the correct answer will be:

= 1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6

= 0.0000217

Learn more about probability on:

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the answer of this question is B

Answer:

y= -x

Step-by-step explanation:

slope- intercept form

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

Given that the slope is -1, m= -1.

Substitute m= -1 into the equation:

y= -x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 2, y= -2,

-2= -2 +c

c= -2 +2

c= 0

Thus, the equation of the line is y= -x.

Answer:

The answer is B. they are congruent because they are a pair of corresponding angles.

Answer:

B)

Step-by-step explanation:

Angles 1 and two are corresponding angles, because if you were to move the top line down, the two angles would be in the exact same spot.

Answer:

y – y 1 = m ( x – x 1 ) m = your slope ( x 1 , y 1 ) = your point y – ( − 5 ) = − 3 2 ( x – 1 ) y + 5 = − 3 2 ( x – 1 ) Now we need to do a little algebra to get the equation in standard form: A x + B y = C , where A, B and C are relatively prime integers. y + 5 = − 3 2 x + 3 2 3 2 x + y = 3 2 − 5 now let's multiply through with 2 to get rid if the fractions: 2 ( 3 2 x + y = 3 2 − 5 ) 3 x + 2 y = 3 − 10 3 x + 2 y = 7

Step-by-step explanation:

Answer:

34 ° is the answer as vertically opposite angles are equal

Answer: 3/20

Step-by-step explanation:

0.150 is equal to 150 thousandths. You can write this in its fractional form, which is:

150/1000

More simplification:

(150/50)/(1000/50)=3/20.

Answer:

The Noble gases are the least reactive of any elements on the periodic table.

Explanation:

All of the elements in Group Zero are noble gases. The list includes helium, neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), and radon (Rn). They are also called inert gases because they do not react with other elements of periodic table. The reason behind their inertness is that their outermost shell is complete and they do not have the tendency to lose or gain electrons.

Answer:

The Halogens form acidic compounds with hydrogen

Explanation:

The non metals in group 7 of the periodic table are known as the halogens. When they react wit hydrogen their respective acid is formed For example, hydrogen chloride (HCl)is produced when hydrogen combines with Chlorine and in the same way Hydrogen Bromide is produced when Bromine reacts with hydrogen.

Answer:

The halogens are the most reactive among all the non metals

Explanation:

The non-metal elements in Group 7 are known as the halogens which consist of five chemically related elements: fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (At).  They get less reactive as we go down the group. This is the opposite trend to that seen in the alkali metals in Group 1 of the periodic table which are reactive among metals.

Answer:

y = 93

Step-by-step explanation:

I assume the other variable is x.

"If x varies directly as y and y = 15 when x = 25. If x = 155 then y is​"

Direct variation:

x = ky

25 = k * 15

k = 25/15

k = 5/3

The direct variation equation is

x = (5/3)y

155 = (5/3)y

y = 155 * 3/5

y = 93

Answer:

Check out the image below.

Step-by-step explanation: