Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work

Answer:

Below

Step-by-step explanation:

B varies directly with the cube of t so:

● B = t^3

B varies inversly as u

● B = 1/u

Let's solve the equation for u:

B= 1/u = t^3

● B= 1/u

Switch u and B

● u = 1/B = 1/t^3

If u is 1 then b and t are also 1.

Answer:

v = 7

Step-by-step explanation:

a. v = 5x + 2y

= 5 × 3 + 2 × -4

= 15 + -8

= 7

Sorry I know only the A one anyways , hope this helps :)

Answer:

Step-by-step explanation:

a  v = 5x+ 2y = 5*3 + 2*-4 = 7

b 3p(p+5) = 3p^2 =15p

c 4k = 44

k=44/4 =11

i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...

Answer:

B

Step-by-step explanation:

Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

Answer:

b = 30

Step-by-step explanation:

-5=-1/6b

Multiply each side by -6 to isolate b

-5 * -6 = -6 * -1/6 b

30 = b

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

a) 2.5% b) 50%

Step-by-step explanation:

1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.

The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.

Answer:

Step-by-step explanation:

This is the Empirical Rule.

68% of the data lies within 1 standard deviation of the mean, and so on.

If the mean is 1100 and the standard deviation is 100, 1300 represents two standard deviations above the mean.  Using a calculator with distribution functions, we type in normcdf(2,10000), obtaining 0.023.  This tells us that 2.3 percent of test scores are more than 1300.

Less than 1100:  Since the mean is 1100, the area under the standard normal curve is exactly 0.5 (corresponding to 50% of data are less than 1100).

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

                Hi my lil bunny!

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

there are 25 nickels and 30 dimes

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

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Answer:

the data are skewed, D.

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

Answer:

answer is a

Step-by-step explanation:

i took the exam

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

Answer:Rational

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:

Rational

................

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

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