determine the quotient between 9/10 and 3/5 ​

The cost of each one small box of oranges is $7 and one large box of oranges is $13.

Given,

Matt sold 3 small boxes and 14 large boxes and got $203

Ming sold 11 small boxes and 11 large boxes and got $220

We have to find the cost of each small box and large box of oranges.

Let the small box be x and large box be y.

Matt sold equation will be

3x+14y=203 -------------(1)

Ming sold equation will be

11x+11y=220 ------------(2)

Now we solve the equation simultaneously, to get the value of x and y.

Multiplying equation 1 by 11 we get,

33x+154y=2233 ---------(3)

Multiplying equation 2 by 3, we get,

33x+33y=660 -----------(4)

Subtracting equation 3 and 4, we get

33x+154y=2233

33x+33y=660

-      -        -

------------------------

0x+121y=1573

--------------------------

121y=1573

y=1573/121

y=13

Substituting the value of y in equation 1 we get

3x+14y=203

3x+14x13=203

3x+182=203

3x=203-182

3x=21

x=21/3

x=7

Therefore, The cost of small orange box is $7 and cost of large orange box is $13.

To learn more on equation here:

https://brainly.com/question/13738061#

#SPJ1

Answer: The slope is 1/2

Step-by-step explanation:

Calculate the rise (change in y-component) divided by the run (change in x-component).

rise = 0 - (-5) = 5

run = 12 - 2 = 10

slope = 5/10 = 1/2

Answer:

they are equal

Step-by-step explanation:

Answer:

Debit Insurance expense for $3,000

Credit Prepaid insurance for $3,000

Step-by-step explanation:

Before the recording entry, the monthly insurance expense has to be calculated first as follows:

Monthly insurance expense = Prepaid insurance / n ............. (1)

Where;

Prepaid insurance = Insurance policy amount = $36,000

n = number of months = 12

Substituting the values into equation (1), we have:

Monthly insurance expense = $36,000 / 12 = $3,000

Since the monthly insurance expense is $3,000, it implies that the insurance expense for March is $3,000.

the entry to record the monthly insurance expense in March will therefore look as follows:

Month      Account Title                     DR ($)                CR ($)              

March      Insurance expense          3,000

                    Prepaid insurance                                    3,000

               (To record monthly insurance expense for March)              

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

Read miore on survey here:https://brainly.com/question/25257437

#SPJ1

Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer:

$113

Step-by-step explanation:

Find 19% of $597.19:

0.19($597.19) = $113 (in whole dollars)

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

In polar coordinates, the inequality changes to

\(x^2+y^2\le4x\implies r^2\le4r\cos\theta\implies r\le4\cos\theta\)

which is a circle of radius 2 and centered at (2, 0). The set D is then

\(D=\left\{(r,\theta)\mid0\le r\le4\cos\theta\land0\le\theta\le\pi\right\}\)

The integral is then

\(\displaystyle\iint_D\frac{y^2}{x^2+y^2}\,\mathrm dx\,\mathrm dy=\int_0^\pi\int_0^{4\cos\theta}\frac{r^2\sin^2\theta}{r^2}r\,\mathrm dr\,\mathrm d\theta\)

\(=\displaystyle\int_0^\pi\int_0^{4\cos\theta}r\sin^2\theta\,\mathrm dr\,\mathrm d\theta\)

\(=\displaystyle\frac12\int_0^\pi((4\cos\theta)^2-0^2)\sin^2\theta\,\mathrm d\theta\)

\(=\displaystyle8\int_0^\pi\cos^2\theta\sin^2\theta\,\mathrm d\theta\)

There are several ways to compute the remaining integral; one would be to invoke the double-angle formula,

\(\sin(2\theta)=2\sin\theta\cos\theta\)

so that the integral is

\(=\displaystyle8\int_0^\pi\frac{\sin^2(2\theta)}4\,\mathrm d\theta\)

\(=\displaystyle2\int_0^\pi\sin^2(2\theta)\,\mathrm d\theta\)

Then invoke another double-angle formula,

\(\sin^2\theta=\dfrac{1-\cos(2\theta)}2\)

to change the integral to

\(=\displaystyle\int_0^\pi1-\cos(4\theta)\,\mathrm d\theta\)

\(=(\pi-\cos(4\pi))-(0-\cos0)=\boxed{\pi}\)

6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.

6E6 = 6 x 10^6

Evaluating the exponent 6 means multiplying 6 by 10 six times:

6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10

Simplifying the expression, we get:

6 x 10^6 = 6,000,000

Therefore, 6E6 in standard form is 6,000,000.

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

To know more about Range visit:

brainly.com/question/29145252

#SPJ1

Answer:

gold = x - 12

red = x

x - 12 + x = 56

2x - 12 = 56

2x = 56 + 12

2x = 68

x = 34

Step-by-step explanation:

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

To know more about triangle sum visit:

https://brainly.in/question/28314721

#SPJ9

Answer:  Portfolio 1:

Tech Company Stock: $2,800 * 2.95% = $82.60

Government Bond: $3,200 * 4.56% = $145.92

Total return for Portfolio 1 = $82.60 + $145.92 = $228.52

Portfolio 2:

Junk Bond: $950 * (-3.75%) = -$35.63

Common Stock: $1,500 * 7.18% = $107.70

Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07

From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.

Step-by-step explanation:

Answer:

I think is higher

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

So easy it is a telephone

Answer:

trees

Step-by-step explanation:

I accidentally commented this instead of answering lol

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:  D) Van: 8, Bus: 25

Bus can carry 25 students ,  van can carry 8 students.

Explanation:

Let vans be v and buses be b

Equations:

6v + 2b = 98 ..........from Theory 1

10v + 2b = 130 ..........from Theory 2

Making b the subject:

6v + 2b = 98

b = (98 - 6v)/2 ............. equation 1

10v + 2b = 130

b = (130 - 10v)/2  .........equation 2

Solving them simultaneously:

(130 - 10v)/2 = (98 - 6v)/2

130 - 10v = 98 - 6v

-6v + 10v = 130 - 98

4v = 32

v = 8

Therefore each van can carry 8 students.

Then the bus can carry: (98 - 6v)/2

                                    → (98 - 6(8))/2

                                    →  25 people

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7/8 is a fraction. It's value is less than 1. It's decimal equivalent must also be less than 1. Finally, it's percent must be less than 100%.

7/ 8 is equivalent to 0.875

As a % 0.875 * 100 = 87.5%

C

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Multiply 80 by number of copies sold and add to her salary:

P = 80N + 1700

Now replace N with 26:

P = 80(26) + 1700

P = 3,780

Answer:

P=1,700+80n

Total Pay if Yoko sells 26 Copies; 3,780

Hope This Helps! :) Please Mark Brainliest!

The farmer has a land divided into 10 sections

Hence, the 10 sections will amount to;

Therefore, the acres of land the farmer owns as a mixed number in its simplest form is 27 1/2 acres.

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

First find the distance per hour by dividing

432/24=18

multiply the rate with 16 hours

18 km per hour x 16 hours = 288 km in 16 hours

Step-by-step explanation:

Answer:

288km

Step-by-step explanation:

if a boat travels 432km in 24 hours .

then

it will cover x km in 16 hours

Using Direct Proportion:

\( \mathsf{x = \frac{432 \times 16}{24} } \)

\( \mathsf{x = \frac{432 \times 2}{3} }\)

\( \mathsf{ x = 144 \times 2}\)

\( \boxed{ \mathsf{ \implies \: 288km}}\)

hence the boat is gonna travel 288km in 16 hours

Answer:

A. 76

B. x^2 +21x + 96

C. x^2 - 9x + 6

Step-by-step explanation:

For this problem, just plug in the number in f(x) for x in the function.

A. f( 5 ) -> Plug in 5 for every x and then simplify

(5)^2 + 9(5) + 6

= 25 + 45 + 6

= 76

B. f( x+6 ) -> Plug in (x+6) for every x and then simplify

(x+6)^2 + 9(x+6) + 6

x^2 + 12x +36 + 9x+ 54 + 6

x^2 +21x + 96

C. f( -x ) -> Plug in -x for every x and then simplify

(-x)^2 + 9(-x) + 6

x^2 - 9x + 6

Answer:

Years = natural log (Total / Principal) / Rate

Years = natural log (1,000,000 / 2,500) / .02

Years = natural log (400) / .02

Years =  5.9914645471 / .02

It would take  299.573227355 Years

Source: http://www.1728.org/rate2.htm

Step-by-step explanation:

Answer:

completa la oracion!!!

etaStep-by-step explanation:

Answer:  30

Step-by-step explanation: