Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour,
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question
I
1. Write an inequality that shows that Tyra's family spends less than their limit.
2. Solve your inequality Show your work

Answer:

10

Step-by-step explanation:

A= L²

50 = L² (do opposite operation to find L)

L = 7.07

x²= L²+ L²

x²= 7.07² + 7.07²

x² = 100 ( do opposite operation to make x the subject)

x = 10

Note: opposite operation of square is square root

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

0.073 is les than 0.73

Answer:

Model what profits

Step-by-step explanation:

Answer:

√10

Step-by-step explanation:

Pythagorean theorem. a^2+b^2=c^2.

In this case 9^2+b^2=√91^2. That equals 81+b^2=91. You isolate b^2, b^2=10. So b=√10.

Answer:

$25.44

Step-by-step explanation:

Although the starting price of the pair of jeans is $ 32, it is 25% off. Thus, 75% of its initial value (100-25) is being paid, with which the pre-tax price is determined as follows:

32 x 0.75 = X

24 = X

In turn, at that discounted price, 6% must be calculated as sales tax, with which the final price is determined through the following calculation:

24 x 1.06 = X

25.44 = X

Therefore, the price to pay for the pair of jeans is $ 25.44.

Answer:

$25.44

Step-by-step explanation:

i just know

Answer:

The domain (x values) is negative infinity to positive infinity since the graph keeps going in both directions ( left and right ) and the range (y values) is -1 to positive infinity since the graph starts at vertex (-1, -4) and continues infinitely upward.

I think that it might be 7.87 sorry if i am wrong

Answer:

no entiendo

Step-by-step explanation:

Answer:

(3,8)

Step-by-step explanation:

Answer:

y= -.25x+2.25

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]  

Step-by-step explanation:

(-3, 3)

2y = 8x - 6 ⇔ y = 4x - 3

y - 3 = - [tex]\frac{1}{4}[/tex] (x + 3)

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]

Answer:

B.

Step-by-step explanation:

They'd have to be exactly the same to ave infinitely many solutions.

Answer:

$6,187.95

Step-by-step explanation:

Answer:

-2.83333333

Hope this helped!

Answer:

[tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

([tex]\frac{5}{6}[/tex]x-7)-([tex]\frac{1}{2}[/tex]x-6) =

The - sign before 6 is turned into a + sign when the bracket is removed because the arithmetic operation before the bracket is - and two - makes the second - turn into a + (It's a rule I can't rlly explain it well but yea)

[tex]\frac{5}{6}[/tex]x-7-[tex]\frac{1}{2}[/tex]x+6 = [tex]\frac{5}{6}[/tex]x-1-[tex]\frac{1}{2}[/tex]x

-7+6 makes it a -1.

[tex]\frac{5}{6}[/tex]x-[tex]\frac{1}{2}[/tex]x-1 = [tex]\frac{5}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-1

To make the denominator of the two fractions the same, I multiplied the second fraction by 3 so that both denominators are 6.

[tex]\frac{5}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-1 = [tex]\frac{2}{6}[/tex]x-1

After making the denominator the same, I can directly do the equation for the numerators (5-3=2) and keep the denominator the same.

[tex]\frac{2}{6}[/tex]x-1 = [tex]\frac{1}{3}[/tex]x-1

Since 2/6 has a common factor which is 2, I can divide both the numerators and denominators so that the fraction can be simplified further into 1/3, its simplest form.

Step-by-step explanation:

x^2 - 8 - 36

x = (-(-8) ± √(-8)^2-4(1)(-36))/(2(1)) = (8 ± √64+144)/2 = 4 ± 0.5√208

x = (8+√208) or x = (8-√208)

therefore

(x - 8-√208)(x + 8-√208)

hopefully I'm not wrong

Answer:

the answer is 75%

Step-by-step explanation:

[tex]6000 \times 7 = 42000[/tex]

[tex] \frac{42000}{56000} \times 100 = 75[/tex]

Answer:

She reached 75% of her goal!

Step-by-step explanation:

first i find out how many steps she took in total:

6000 x 7 = 42000

then i set up proportions so i can cross multiply

[tex]\frac{42000}{50000}= \frac{x}{100}[/tex]

42000 x 100 = 4200000

4200000 / 56000 = 75

Answer:

28c+17

Step-by-step explanation:

distribute get 28c+12+5

combine like terms get 28c+17

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_s = 12 + 6P[/tex]

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

[tex]Q_d = Q_s[/tex]

This gives:

[tex]48 -9P = 12 + 6P[/tex]

Collect Like Terms

[tex]-9P - 6P = 12 - 48[/tex]

[tex]-15P = -36[/tex]

Solve for P

[tex]P = \frac{-36}{-15}[/tex]

[tex]P =2.4[/tex]

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_d = 48 - 9 * 2.4[/tex]

[tex]Q_d = 26.4[/tex]

Hence, the equilibrium quantity is 26.4

Answer: They should eliminate Brand C

Step-by-step explanation:

You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.

The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C

To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.

Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%

Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%

Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %

Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%

Brand C has the highest percentage and as such it is the brand that should be eliminated.

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Answer:

0.226

Step-by-step explanation:

Given that:

No wing crack (x) = 70%

Detectable wing crack (y) = 25%

Critical wing crack (z) = 5%

Number of samples (n) = 5

Probability that atleast a plane has critical crack:

1 - p(no critical crack)

Using the multinomial distribution calculator :

P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0)

From the calculator :

P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0) = 0.7741

1 - 0.7741 = 0.2259

= 0.226

Answer:

exponential

Step-by-step explanation:

just took the test

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope - intercept form is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope m;

m = tan theta

m = tan 45

m = 1

Get the intercept c;

Substitute m = 1 and (-2, 5) into the equation y = mx+c and get c;

5 = 1(-2)+c

5 = -2+c

c = 5+2

c = 7

Get the required equation;

y = 1(x)+ 7

y = x + 7

Hence the equation of the line is y = x+7

Answer:

12:6 or 6:12 cant remember but i thinks its the first one lol

Step-by-step explanation:

Answer:

[tex]y = 8x + 7[/tex]

Step-by-step explanation:

Given

[tex]m = 8[/tex]

[tex]b = 7[/tex]

[tex]y-intercept: (0,7)[/tex]

Required

Determine the equation

An equation has a general form as follows:

[tex]y = mx + b[/tex]

Next, we substitute values for m and b

Substitute 8 for m and 7 for b

[tex]y = 8x + 7[/tex]

Hence, the line equation is: [tex]y = 8x + 7[/tex]

Answer:$32,085

Step-by-step explanation:

$25,335+1,995+995+895+895+695+295+195+35+750= $32,085

Total price of the sedan that Loren Weber wants to buy = $34010.1

A sales tax is a consumption tax imposed by the government on the sale of goods and services. A conventional sales tax is levied at the point of sale, collected by the retailer, and passed on to the government.

Given,

CODE DESCRIPTION MSRP

SAL 4 4 Dr. Sedan AWD $25335

85N Navigation System  $1995

66E Entertainment System   $995

Chrome Wheel Covers   $895

Interior Convenience Package  $895

SS9 Safety & Security Package  $695

RSS2 Reverse Sensing System  $295

SR5 Satellite Radio $195

195 EBH9 Engine Block Heater $35

E43 Destination Charge $750

Full sticker Price = 25335+1995+995+895+895+695+295+195+35+750

Full sticker Price = $32085

6% sales tax = 0.06 × $32085 = $1925.1

Total price of the car = Full price + sales tax

Total price of the car = $32085 + $1925.1

Total price of the car = $34010.1

Hence, $34010.1 is the total price of the sedan that Loren Weber wants to buy.

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Answer:

[tex]x + 15 = 60[/tex]

[tex]x = 60 - 15[/tex]

Step-by-step explanation:

Given

[tex]Additional = 15[/tex]

[tex]Total = 60[/tex]

Required

What equation can be used to select the initial number of stickers

Represent the initial number of stickers with x

The equation can then be written as:

[tex]x + Additional = Total[/tex]

This gives:

[tex]x + 15 = 60[/tex] ---- This is one equation

Make x the subject

[tex]x = 60 - 15[/tex] --- This is another equation

Solving further for x

[tex]x = 45[/tex]

This implies that she started with 45 stickers