Hugo is pumping regular gas into his truck.Write and wolve an absolute value equation to represent how many galloons of gas will he pumped when the total is $25 plus or minus $0.50

Answer: x = 995

Step-by-step explanation:

In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.

[tex]log_{10}(x+3) + log_{10}(2) = 3[/tex]

Now we put every equation as the exponent of our base 10 looks like this:

[tex]10^{log_{10} (x+3)} + 10^{log_{10} (2)} = 10^{3}[/tex]

Now we cancel out the log base 10 and the 10. We are left with:

(x+3) + (2) = 10^3

Lastly solve for x

x + 5 = 1000

x = 995

Answer:

i) this does not show direct variation.

ii) this shows direct variation

iii) this shows direct variation

iv) (2x-5y) + (x+y)  =  3x - 4y

v) (7x-5) - (3x-2)  = 4x - 3

Step-by-step explanation:

i.) y - x  = 4                      this does not show direct variation.

ii) x - y = 0   [tex]\Rightarrow[/tex]  x = y       this shows direct variation

iii) 8 = xy    [tex]\Rightarrow[/tex]  8/x = y      this shows direct variation

iv) the sum of (2x-5y) and (x+y)    [tex]\Rightarrow[/tex] (2x-5y) + (x+y)  =  3x - 4y

v) expression that is equivalent to (7x-5) - (3x-2)

[tex]\Rightarrow[/tex]  (7x-5) - (3x-2)  =  4x - 5 + 2 = 4x - 3

Option B: 5.25 is the length of XZ

Explanation:

The triangles PQR and XYZ are similar.

To determine the length of XZ, let us use the similarity theorem.

The theorem states that, "if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar".

Thus,

[tex]\frac{QR}{YZ} =\frac{PR}{XZ}[/tex]

Let us substitute the values from the diagram, we have,

[tex]\frac{4}{3} =\frac{7}{XZ}[/tex]

Multiplying both sides by 3, we get,

[tex]4 =\frac{21}{XZ}[/tex]

Thus,

[tex]XZ =\frac{21}{4}=5.25[/tex]

Thus, the length of XZ is 5.25

Hence, Option B is the correct answer.

Answer:

volume is 432 cubic inches

Step-by-step explanation:

A box measures 1 ft. long, 1/2 ftwide, and  1/2 ft high.

we need to find the volume of the box

Volume of the box formula is

[tex]volume = length \cdot width \cdot height\\[/tex]

convert all the measurement into inches

1 feet = 12 inches

1/2 feet = 6 inches

length = 12 inches, width = 6 inches , height = 6 inches

now we plug in the values in volume

[tex]volume = 12 \cdot 6 \cdot 6= 432 in^3[/tex]

Answer:

See photo

Step-by-step explanation:

The line is in slope-intercept form which looks like y = mx + b.

"x" and "y" represent points on the line.

"m" is the slope (how steep the line is) and if the line goes up (+) or down (-).

"b" is the y-intercept, which is where the graph hits the y-axis.

Take information from the equation y=-2x+6. Use the slope and the y-intercept to graph to line.

m = -2  =  [tex]-\frac{2}{1}[/tex]   (Fraction form).

b = 6

Plot a point at the y-intercept on the y-axis

If the y-intercept is 6, so you plot the point at (0, 6). (The y-intercept occurs when x = 0).

Find another point

Count the number of rise and run from the y-intercept.

Remember the slope is [tex]\frac{rise}{run}[/tex]

Run is the number of squares moving right. Rise is the number of squares moving up (if positive) or down (if negative).

Since the slope is -2/1, move two squares down and one square to the right to find another point on the line.

Connect the points

You only need two points to make a line. If you want the line to be longer, you can extend it with a ruler.

Other formatting rules

Remember to add arrows at the ends of the x and y axis.

Also, add arrows to the ends of the the line that you graphed.

Most teachers ask you to label the line with the equation.

Answer:

For plato users: Option C.

Step-by-step explanation:

Answer:

27 > b

Step-by-step explanation:

7 > -20 + b

7 + 20 > -20 + 20 + b

27 > b

Answer:

the answer to your question is b

Answer:

.5 or l/2 liter

Step-by-step explanation

4 liters x 5= 20 liters / 40 people =.5 or 1/2  liter

Answer:

[tex]f(x) = {x}^{2} - 15x + 26[/tex]

Step-by-step explanation:

Assuming we want to write a quadratic function with intercepts x=13 and x=2.

Then we can work backwards.

This means that:

x-13=0 and x-2=0

The factored form of this quadratic function becomes:

[tex]f(x) = (x - 13)(x - 2)[/tex]

We expand to get:

[tex]f(x) = {x}^{2} - 2x - 13x + 26[/tex]

We simplify to obtain:

[tex]f(x) = {x}^{2} - 15x + 26[/tex]

Answer:

Step-by-step explanation:

(5x+17)+(2x+50)

5x+2x + 17+50

7x+67

IF 7x+67 = 0

7x = -67

x = - 67/7 OR x = -9.57

if you have a scientific calculator type in y=4/3x+4

and you should find your answer

For test point x = –2, the inequality is true.

For test point x = 0, the inequality is false.

For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.

For test point x = 2, the inequality is false.

Solution:

Given expression is the inequality.

[tex]$\frac{5 x-3}{(x-1)(x+1)} \leq 0[/tex]

Substitute x = –2 in the inequality.

[tex]$\frac{5 (-2)-3}{(-2-1)(-2+1) }=\frac{-13}{(-3)(-1) }[/tex]

                            [tex]$=\frac{-13}{3 }[/tex]

                            < 0

For test point x = –2, the inequality is true.

Substitute x = 0 in the inequality.

[tex]$\frac{5 (0)-3}{(0-1)(0+1) }=\frac{-3}{(-1)(1) }[/tex]

                      [tex]$=3[/tex]

                      > 0

For test point x = 0, the inequality is false.

Substitute [tex]x=\frac{4}{5}[/tex] in the inequality.

[tex]$\frac{5 (\frac{4}{5} )-3}{((\frac{4}{5} )-1)((\frac{4}{5} )+1) }=\frac{1}{(-\frac{1}{5} )(\frac{9}{5} ) }[/tex]

                            [tex]$=\frac{-25}{9 }[/tex]

                            < 0

For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.

Substitute x = 2 in the inequality.

[tex]$\frac{5 (2)-3}{(2-1)(2+1) }=\frac{7}{(1)(3) }[/tex]

                      [tex]$=\frac{7}{3 }[/tex]

                      > 0

For test point x = 2, the inequality is false.

Hence,

For test point x = –2, the inequality is true.

For test point x = 0, the inequality is false.

For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.

For test point x = 2, the inequality is false.

Answer:

In the picture below

Step-by-step explanation:

Edge 2021

Answer:

11 feet

Step-by-step explanation:

Area of rectangle (170.5cm) = length (15.5) x width

170.5/15.5=width

Width = 11

Hope this helps! :)

Answer: 1.9

Step-by-step explanation:

because you keep adding 1.9 to get your result

Answer:

11.1

Step-by-step explanation:

3.9 - 1.5 = 2.4

if you add 2.4 to one of the numbers in the sequence it will be the next number.

1.5 + 2.4 = 3.9

3.9 + 2.4 = 6.3

6.3 + 2.4 = 8.7

if this is the case then 8.7 + 2.4 = 11.1

Answer:

(4,5)

Step-by-step explanation:

We are to find the circumcenter of triangle EFG with vertices

E(2,6), F(2,4), and G(6,4)

Let S(x,y) be the circum center.  Then this point is equidistance from E, F and

G

i.e. [tex]ES=FS=GS\\ES^2 =FS^2 =GS^2[/tex]

[tex](x-2)^2+(y-6)^2 =(x-2)^2+(y-4)^2 =(x-6)^2+(y-4)^2 \\i.e. x^2-4x+4+y^2-12y+36 = x^2-4x+4+y^2-8y+16 = x^2-12x+36+y^2-8y+16 \\4y = 20: y =5\\8x=32\\x=4[/tex]

Thus circumcenter is (4,5)

Answer:

F(3) = 2 * 3 - 1, which is 6 - 1 equaling 5.

Step-by-step explanation:

3 times 2 is six since you have to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction). Multiplication is before Subtraction, and that is why we multiply 2 and 3 first, since 3 replaces the variable x. After multiplying 2 and 3 to get 6, subtract by 1 to get 5.

Answer: 5

Answer:

30%?

Step-by-step explanation:

im not really sure but 30 percent of 280 is 84 and i couldnt find anything else

since 280-129=88 i thought 84/30% was closest

It takes about 14.55 years for quadruple your money

Solution:

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

Rule of 144 Formula:

[tex]N = \frac{144}{R}[/tex]

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

[tex]\rightarrow N = \frac{144}{10} = 14.4[/tex]

Thus it takes about 14.4 years for quadruple your money.

Another method:

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

[tex]Amount = Principal(1+\frac{R}{100})^n[/tex]

[tex]4 = 1(1+\frac{10}{100})^n[/tex]

[tex]4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55[/tex]

Thus Option D 14.55 years is correct

Answer:

it the same number.

Step-by-step explanation:

Answer:

If two parallel lines  [tex]p[/tex] and [tex]q[/tex] are cut by a transversal, then the alternate interior angles are congruent.

Below is the prove of this.

Step-by-step explanation:

As we know that Alternate interior angles are two angles that are on the interior of [tex]p[/tex] and [tex]q[/tex], but on opposite sides of the transversal.

In other words,  If two parallel lines  [tex]p[/tex] and [tex]q[/tex] are cut by a transversal, then the alternate interior angles are congruent.

Lets prove this.

Given: p ║ q

Prove: ∠1 ≅ ∠2

Statement                                  Reasons

1. p ║ q                                        1. Given

2. ∠1 ≅ ∠3                                  2. Corresponding Angles Postulate

3. ∠3 ≅ ∠2                                 3. Vertical Angles Congruence Theorem

4. ∠1 ≅ ∠2                                  4. Transitive Property of Congruence

The simplified ratio that correctly compares 27 feet to 36 feet is 3:4

Step-by-step explanation:

Step 1: Simplify the ratio by finding common factor

Step 2: Here, in this case the lowest common factor is 3. Divide both numerator and denominator by 3.

⇒ 27/36 = 9/12 (on dividing by 3)

⇒ 9/12 = 3/4 (again on dividing by 3)

Answer:

-2

Step-by-step explanation:

8x+7=-9

8x=-9-7

8x=-16

x=-16/8

x=-2

Answer:

-5-4x

Step-by-step explanation:

7-3(4-2x)-10x

7-12+6x-10x

-5+6x-10x

-5-4x

7-12+6x-10x

or

-5-4x

Simplify the answer to get equivalent expressions

Answer:

216

Step-by-step explanation:

1. √{6^6}

2. √(6^3)^2}

3.6^3

4.216

Mark me Brainliest!

Hope this helps!

-ShadyK

The value of the given expression is 216.

The given expression is,

[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5[/tex]

Square Root Computations:

The square root of a number is the number that we require to multiply by itself to obtain the original number

Now, solving the given expression as,

[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}=\sqrt{2\cdot6\cdot6^4+2\cdot6\cdot6^4+2\cdot6\cdot^4}\\ =6^2\sqrt{12+12+12}\\ =36\sqrt{36}\\ =36\sqrt{4\cdot9}\\ =36\cdot2\cdot3\\=216[/tex]

Learn More information about the simplification:

https://brainly.com/question/1367802

Answer:jennie has 536 songs and diamond has 359

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

You and three friends = 4 people

$35 / 4 people = $8.75

The cost of one ticket is $8.75

Hope this helps :)