Given: <SPT = <RQT, ST = RT Prove: PR = QS​

the inequality representing the fewest number of cars she must wash is [tex]\( x \geq 13 \).[/tex]

To find the fewest number of cars the employee must wash, we need to determine the minimum number of cars that will allow her to have at least $100 in spending money after saving $50.

Let's denote the number of cars she must wash as( x \).

Given:

- Earnings per car washed: $12

- Amount saved: $50

- Desired spending money: at least $100

Step 1: Calculate her earnings from washing cars:

The total earnings from washing cars will be ( 12x ) dollars.

Step 2: Calculate her spending money after saving:

She saves $50 of her weekly earnings, so her spending money will be her total earnings minus $50, which is \( 12x - 50 \) dollars.

Step 3: Write the inequality:

Since she wants to have at least $100 in spending money, we can write the inequality:

[tex]\[ 12x - 50 \geq 100 \][/tex]

This inequality states that her spending money after saving must be greater than or equal to $100.

Now, to solve for [tex]\( x \), we'll isolate \( x \)[/tex] on one side of the inequality.

Step 4: Solve the inequality:

[tex]\[ 12x - 50 \geq 100 \][/tex]

Add 50 to both sides:

[tex]\[ 12x \geq 150 \][/tex]

Now, divide both sides by 12:

[tex]\[ x \geq \frac{150}{12} \][/tex]

[tex]\[ x \geq 12.5 \][/tex]

Step 5: Interpret the result:

Since the number of cars washed must be a whole number (you can't wash half a car), the fewest number of cars she must wash to have at least $100 in spending money is 13.

So, the inequality representing the fewest number of cars she must wash is [tex]\( x \geq 13 \).[/tex]

Answer:It cost 2100 dollars

Step-by-step explanation:I did the math on calculator very very simple buddy

Answer:

2

Step-by-step explanation:

but I would personally say FISH

Answer: Like I really told you what I just had said, "The answer to this basic math question with the given basic math expression is [tex]1+1=2.[/tex]"

Step-by-step explanation: Seriously, like I really told you what I just had said, "This seems extremely too simple and easy for me and the users of The Brainly in order to answer to this basic math question with your own given the basic math expression, there is just only 1 of the basic step-by-step explanation for the basic math question with the given basic math expression for me and the users of The Brainly in order to solve it that looks in the equation form like this: [tex]1+1=2.[/tex]"

So, anyway, I hoped that my own given quoted with my own given quoted basic answer and my own given quoted basic step-by-step explanation is being very helpful to your own basic math question with the given basic math expression what I've been just said and have a great rest of the weekend! :D

Sincerely,

Jason Ta,

The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

The simplified form would be [tex]6x^5[/tex]

Step-by-step explanation:

Given:

[tex]\frac{(3x^4)(12x^2)}{6x}[/tex]

Now multiplying the numbers and variable we get,

[tex]\frac{(3x^4)(12x^2)}{6x}\\\\\frac{(36x^{2+4})}{6x}\\\\\frac{36x^6}{6x}[/tex]

Now Dividing 36 by 6 we get,

[tex]\frac{6x^6}{x}=6x^6\times x^{-1} = 6x^{6-1}= 6x^5[/tex]

Hence the simplified form would be [tex]6x^5[/tex]

The area of the given figure is 864 square feet.

To find the area of the given figure, we can break it down into two rectangles and then sum their areas.

The figure consists of two rectangles with dimensions:

1. The first rectangle has a length of 36 ft and a width of 18 ft.

2. The second rectangle has a length of 12 ft and a width of 18 ft.

The area (A) of a rectangle is calculated using the formula: [tex]\(A = \text{length} \times \text{width}\).[/tex]

For the first rectangle:

[tex]\[ A_1 = 36 \, \text{ft} \times 18 \, \text{ft} = 648 \, \text{ft}^2 \][/tex]

For the second rectangle:

[tex]\[ A_2 = 12 \, \text{ft} \times 18 \, \text{ft} = 216 \, \text{ft}^2 \][/tex]

Now, add the areas of both rectangles to find the total area (A) of the figure:

[tex]\[ A = A_1 + A_2 = 648 \, \text{ft}^2 + 216 \, \text{ft}^2 = 864 \, \text{ft}^2 \][/tex]

The question probable maybe :-

Find the combined area of two rectangles with side 36 ft 18 ft ,12 ft

18 ft​ respectively .

Answer:

[tex]x=\frac{8}{3}\ cm[/tex]

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

[tex]A=\frac{1}{2}(AB)(BC)[/tex]

we have

[tex]A=17\ cm^2[/tex]

[tex]AB=(3x-2)\ cm[/tex]

[tex]BC=(x+3)\ cm[/tex]

substitute the values

[tex]17=\frac{1}{2}(3x-2)(x+3)[/tex]

[tex]34=(3x-2)(x+3)[/tex]

[tex]34=3x^2+9x-2x-6[/tex]

[tex]3x^2+7x-6-34=0[/tex]

[tex]3x^2+7x-40=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]3x^2+7x-40=0[/tex]

so

[tex]a=3\\b=7\\c=-40[/tex]

substitute in the formula

[tex]x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}[/tex]

[tex]x=\frac{-7(+/-)\sqrt{529}} {6}[/tex]

[tex]x=\frac{-7(+/-)23} {6}[/tex]

[tex]x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}[/tex]

[tex]x=\frac{-7(-)23} {6}=-5[/tex]

therefore

The solution is

[tex]x=\frac{8}{3}\ cm[/tex]

Answer:

(A) 40.67

(B) 57.98

Step-by-step explanation:

I did it in my head

The inequality for the given condition is x ≥ 42 inches

Solution:

Given that, the condition is you must be at least 42 inches tall to ride the bumper cars at an amusement park.  

We have to write an inequality that represents this situation.

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =

Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥

Let "x" represent the heights of people who are allowed to ride the bumper cars

Height of people who are allowed to ride the bumper cars should be at least 42 inches

Height of people ≥ 42 inches [ since at least condition holds even at 42 value also ]

x ≥ 42 inches

Hence, the inequality for the given condition is x ≥ 42 inches

Multiply the weight by 5%, then subtract that from the weight for the lower value and add it for the higher value:

258 x 0.05 = 12.9g

Lower value: 258 - 12.9 = 245.1g

Higher value: 258 + 12.9 = 270.9g

Answer:

Step-by-step explanation:

2 green of every 5:

[tex]\dfrac{2}{5}[/tex]

Convert to the percent:

[tex]\dfrac{2}{5}\cdot100\%=\dfrac{200}{5}\%=40\%[/tex]

The equation of the line that passes through the points (0, 2) and (5, 8) will be y = (6/5)x + 2.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The point given that lie on the line are mentioned below.

(0, 2) and (5, 8)

Then the equation of the line that passes through the points (0, 2) and (5, 8) will be given as,

(y - 2) = [(8 - 2) / (5 - 0)](x - 0)

y - 2 = (6/5)x

y = (6/5)x + 2

The equation of the line that passes through the points (0, 2) and (5, 8) will be y = (6/5)x + 2.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ3

Final answer:

To find the equation of the line passing through (0,2) and (5,8), we calculate the slope as 6/5 and use the y-intercept of 2 to write the equation as y = (6/5)x + 2.

Explanation:

To find an equation of the line that passes through the points (0,2) and (5,8), we need to calculate the slope and use one of the points to write the equation in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

First, let’s find the slope of the line using the formula m = (y2 - y1) / (x2 - x1). Substituting the given points, we get m = (8 - 2) / (5 - 0), which simplifies to m = 6 / 5. This is the slope of the line.

Now, we can use the slope and one of the points to find the y-intercept. Since the line passes through (0,2), we know that the y-intercept b is 2. Therefore, the equation of the line is y = (6/5)x + 2.

Answer:

C)  8, 15, 16 is NOT Pythagorean TRIPLET.

Step-by-step explanation:

There numbers  a, b and c are said to be a PYTHAGORAS TRIPLET if

[tex](a) ^2 + (b)^2 = (c) ^2[/tex]

Now, here in the given options:

A)5, 12, 13

[tex](5)^2 +   (12)^2 = 25 +  144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2[/tex]

Hence, 5, 12, 13 is a Pythagorean TRIPLET.

B)7, 24, 25

[tex](7)^2 +   (24)^2 = 49 +  576=  625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2[/tex]

Hence, 7, 24, 25 is a Pythagorean TRIPLET.

C)8, 15, 16

[tex](8)^2 +   (15)^2 = 64 +  225=  289 \neq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \neq (16) ^2[/tex]

Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.

D)11, 60, 61

[tex](11)^2 +   (60)^2 = 121 +  3600 =  3721 =  (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2[/tex]

Hence, 11, 60, 61 is a Pythagorean TRIPLET.

E)12, 35, 37

[tex](12)^2 +   (35)^2 = 144 +  1225 =  3721 =  (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2[/tex]

Hence, 12,35 , 37 is a Pythagorean TRIPLET.

Answer:

Two such numbers are  10  , 2 .

Step-by-step explanation:

Here, the question is INCOMPLETE.

Here is the Complete question:

One number is 1/5 of another number. The sum of the two numbers is 12. Find the two numbers. Use a comma to separate your answers.

We can solve the given problem as follows:

Here, : One number is   1/5  of another number.

Let one such number = m

⇒ The other number = 1/5 (m)

Sum of both the given number = 12

[tex]\implies  m + \frac{1}{5}  m = 12\\\implies \frac{5m + m}{5}  = 12\\\implies \frac{6m}{5}  = 12[/tex]

or, 6  m = 12 x (5) = 60

or, m = 60 / 6  =  10

or, m = 1 0

Hence, the first number = m = 10

Second number is [tex]\frac{1}{5} m =  \frac{1}{5} \times 10 = 2[/tex]

Hence, two such numbers are 10  , 2 .

112 different area codes can be made.

Given, In a different plan for area codes, the first digit could be any number from 0 through 6 ,  

So, total 7 digits are possible for 1st place (i.e. 0 1 2 3 4 5 6)

The second digit was either 7 or 8,  

So, total 2 digits are possible for 2nd place (i.e. 7 8)

And the third digit could be any number except 0 or 6.  

So, total possible digits are 8 for 3rd place (i.e. 1 2 3 4 5 7 8 9)

With this plan, we have to find how many different area codes are possible?

[tex]\text { total possible combinations }=7 \text { possibilities for } 1 \text { st place } \times 2 \text { for } 2 \text { nd place } \times 8 \text { for } 3 \text { rd place }[/tex]

[tex]\text { Total possible area codes }=7 \times 2 \times 8=14 \times 8=112[/tex]

Hence, 112 different area codes can be made.

Answer:

[tex]\large \boxed{24; 12; 8}[/tex]

Step-by-step explanation:

1. Calculate the number of milkshakes

[tex]\text{Number of milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 \div \dfrac{1}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\frac{1}{8} = 3\times \dfrac{8}{1}  = \mathbf{24}\\\\\text{LiAnn can make $\large \boxed{\mathbf{24}}$ milkshakes}[/tex]

2. Calculate the number of double milkshakes

[tex]\text{Number of double milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 \div \dfrac{1}{4}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{1}{4} = 3\times \dfrac{4}{1}  = \mathbf{12}\\\\\text{LiAnn can make $\large \boxed{\mathbf{12}}$ milkshakes}[/tex]

3. Calculate the number of triple milkshakes

[tex]\text{Number of triple milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 \div \dfrac{3}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{3}{8} = 3\times \dfrac{8}{3}[/tex]  

Cancel the 3s

[tex]3\times \dfrac{8}{3} = \mathbf{8}\\\\\text{LiAnn can make $\boxed{\mathbf{8}}$ triple milkshakes}[/tex]

Answer:

39.3

Step-by-step explanation:

100 / 6 is about 16, 16.66667 to be exact:

2.36 * 16.66667 =  approx. 39.3

Final answer:

To determine 6% of what number is 2.36, divide 2.36 by 0.06, resulting in an answer of approximately 39.33.

Explanation:

To find 6% of what number equals 2.36, we set up an equation where 6% (or 0.06) multiplied by a number 'x' equals 2.36. The equation looks like this: 0.06x = 2.36. To solve for 'x', you divide both sides of the equation by 0.06, which yields x = 2.36 ÷ 0.06. After calculating, you get that x equals 39.33. Therefore, 6% of 39.33 is 2.36.

Answer:

[tex]\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}[/tex]

Step-by-step explanation:

[tex]7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}[/tex]

Final answer:

To find how long it takes Jordan to run 6.21 miles, multiply the per-mile time (8.4 minutes) by the total miles (6.21), resulting in approximately 52.164 minutes.

Explanation:

To calculate how long it would take Jordan to run 6.21 miles based on the information that Jordan can run a mile in 8.4 minutes, we use the following steps:

Time for 1 mile = 8.4 minutes

Total distance = 6.21 miles

Total time = 8.4 minutes/mile × 6.21 miles

Total time = 52.164 minutes

Therefore, it would take Jordan approximately 52.164 minutes to run 6.21 miles. This straightforward multiplication provides a precise estimate, illustrating the application of the mile pace to calculate the overall running time for the specified distance.

Answer:

I believe it is 7

Step-by-step explanation:

The scale is likely to show the mass is either 270.9g or 245.1g

Step-by-step explanation:

Actual mass = 258g

Percent error = 5% = ±0.05

Mass shown by scale = Actual mass*percent error

[tex]Mass\ shown\ by\ scale=258*(\±0.05)\\Mass\ shown\ by\ scale=\±12.9g[/tex]

Therefore,

Mass shown by scale = 258+12.9 , Mass shown by scale = 258-12.9

Mass shown by scale = 270.9g , Mass shown by scale = 245.1g

The scale is likely to show the mass is either 270.9g or 245.1g

Keywords: error, percentage

Learn more about percentages at:

#LearnwithBrainly

Answer:

A scale has a percent error of 5%. The actual mass of a rock is 258 g.

Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either

245.1

g or

270.9

g.

Step-by-step explanation:

I copied an pasted from k-12

Answer:

V=349525.333*pi

Step-by-step explanation:

Volume of a sphere: V=(4/3)*pi*r^3 where r=radius.

r=64

V=(4/3)*pi*(64)^3=(4/3)(262144)pi=349525.333*pi

Answer:

The answer is 52.2

Step-by-step explanation:

Answer:

We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Step-by-step explanation:

Δ GHI and Δ JKL are congruents because:

1. Their sides GH and JK are equal (9 units = 9 units)

2. Their included angles ∠G and ∠J are equal (62° = 62°)

3. Their sides GI and JL are equal (17 units = 17 units)

Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Answer:

Each girl gets 2/3 yd of ribbon.

Step-by-step explanation:

12 2/3=38/3

(38/3)/19

(38/3)(1/19)

(2/3)(1/1)=2/3

Answer:

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). There are three steps in calculating the slope of a straight line when you are not given its equation.

Step-by-step explanation:

Step One: Identify two points on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Answer:

$40,$60

Step-by-step explanation:

Let the money in the first month be x.

2x+20=100

x=40

Answer:

C.)

Step-by-step explanation:

Denominator is the bottom part of a fraction