Just confused with the remainder

Answer:

RS = 41 , ST = 18

Step-by-step explanation:

from the number line

RT = RS + ST ( substitute values )

59 = 9y + 5 + 3y + 6

59 = 12y + 11 ( subtract 11 from both sides )

48 = 12y ( divide both sides by 12 )

4 = y

Then

RS = 9y + 5 = 9(4) + 5 = 36 + 5 = 41

ST = 3y + 6 = 3(4) + 6 = 12 + 6 = 18

The area of the triangle = the area of the rectangle = 6 cm².

The area of a triangle = 1/2(base)(height)

The area of any rectangle = (length)(width)

Area of the triangle:

Base = 4 cm

Height = 3 cm

Area of the triangle = 1/2(4)(3)

Area of the triangle = 6 cm²

Area of the rectangle:

Length = 3 cm

Width = 2 cm

Area of the rectangle = (3)(2) = 6 cm²

Therefore, the area of the triangle = the area of the rectangle = 6 cm².

Learn more about area of rectangle and triangle on:

https://brainly.com/question/446826

#SPJ1

Answer: A, B and C

Step-by-step explanation:

A rational number is something that can be made with a fraction.

A fraction is a fraction, so A is correct.

A terminating decimal can be made from a fraction, for example 1/2 = 0.5 which is a terminating decimal so B is correct.

A repeating decimal can also be made from a fraction, for example 1/3 = 0.333333... so C is correct.

An imaginary number doesn't actually really exist, so it can't be represented through a fraction.

By evaluating this equation we get , -64.

-10c + 3a + a = -10(6) + 3(-1) + (-1)

=- 60 + (-3) + (-1)

= - 60 -3 -1

= -64

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.

To evaluate an algebraic expression, you must substitute a number for each variable and perform the arithmetic operations.. Since 6 + 6 equals 12, the variable x in the example above is equal to 6.

Hence, the algebraic expression can be expanded and solved as -64.

To know  more about algebraic expression visit:

brainly.com/question/16878969

#SPJ1

Answer:

-3x-4<2

Step-by-step explanation:

it would end up being 3

=======================================

relocating 4 to the right

[tex]-3x < 2+4\\-3x < 6[/tex]

dividing -3 to both sides

[tex]x > -2[/tex]

don't forget to reverse inequality order.

=======================================

#Carryonlearning

[tex]\textcopyright ELIZA[/tex]

Kevin rides hid bike at 12mph

you can write that as

12:1

12 to 1

12/1

Answer:

80 271

Step-by-step explanation:

80200 / 81 = 990.123

   so   991 * 81 = 80 271

The multiple of 81 between 80200 and 80300 is 80271.

Multiple can be thought of as how many times a number is being multiplied, Like 81n where n ∈ N.

The difference between 80200 and 80300 is 100 and it is not twice the value of 81 so there will be only one such number which is a multiple of 81.

One easy way of determining it divide the larger value by 81 and subtract the remainder from it.

∴ 80300 ÷  81.

= (991×81) + 29.

∴ The multiple of 81  between 80200 and 80300 is

(80300 - 29) = 80271.

Learn more about multiples here :

https://brainly.com/question/24327271

#SPJ2

Answer:

89m

Step-by-step explanation:

Denote:- L = Length, W = Width

Area of a rectangular = L × W

7031m = L × 79m

7031/79m = L

89 = L

Answer:

length = 89

Step-by-step explanation:

Let A represent area

      L represent length and

      W represent width

A = L.B

7031 = L . 79

7031 = L

79

L = 89

The amount that should be invested today is $544.56.

Continous compounding is when the amount invested and the interest that has already been earned increase infinitely over a period of time. Continous compounding means that the value of the investment increases at every moment of the investment period.

The formula that can be used to determine the amount to be invested today is:

A = FV / (  e^r x N)

Where:

$5000 / [(2.718^0.02) X 9] = $544.56

To learn more about continuous compounding, please check: https://brainly.com/question/26476328

#SPJ1

Answer:

The answer to this question is 72x3

The real plane is 18 yards tall if the model plane is 3 in tall.

What is Scaling ?

A physical model that is geometrically similar to an object is called a scale model (known as the prototype).

Scale models are typically more compact than huge prototypes like cars, structures, or people.

Divide the length by the conversion factor to convert a measurement in inches to a measurement in yards.

Since 36 inches are equivalent to one yard, you may convert using the following straightforward formula:

yards = inches/ 36

Given:

inches / yards =1:6

As we know the model of the  plane is 3 inches tall.

Therefore, we can convert the 3 inches to x yards.

[tex]\frac{1inch}{6yards} =\frac{3inches}{x yards}[/tex]

1 /6= 3/x

By cross multiplying the above equation we can get the value of x.

1x= 6×3

x=18

x= 18 yards

The real plane is 18 yards.

To learn more about scale visit:

https://brainly.com/question/1609326

#SPJ9

When we want to rationalize the denominator of the number 2✓2/ 3✓11 the numbers that should be used for the multiplication will be 3✓11.

It should be noted that rationalizing the denominator is to ensure that it becomes easy to perform a calculation.

It should be noted that based on the information, we want to rationalize the denominator. This will be 2✓2/ 3✓11 multiplied by 3✓11.

Therefore, the appropriate number is 3✓11.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

If the total estimated manufacturing overhead was $272,000. Under traditional costing (which assigns overhead on the basis of direct labor hours), the  amount of manufacturing overhead costs are assigned t0 Mobile safe, Walk-in safe are: $435.2 $3,699.2.

Predetermined overhead rate is:

Estimated overhead cost $272,000

Estimated overhead driver 2,500

(800 + 1,700)

Predetermined overhead rate $108.8 per direct labor hour

($272,000/2,500)

The overhead cost per unit:

Mobile safe Walk-in safe

Predetermined rate $108.8 $108.8

Number of DL Hours for the product line 800 1,700

Overhead cost assigned to the product line $87,040 $184,960

Number of units 200  50

Manufacturing overhead costs assigned to each unit $435.2 $3,699.2

($87,040/200) ($184,960/50)

Therefore the  amount of manufacturing overhead costs are assigned t0 Mobile safe, Walk-in safe are: $435.2 $3,699.2.

Learn more about manufacturing overhead cost here:https://brainly.com/question/26454135

#SPJ1

The complete question is:

Perdon Corporation manufactures safes—large mobile safes, and large walk-in stationary bank safes. As part of its annual budgeting process, Perdon is analyzing the profitability of its two products. Part of this analysis involves estimating the amount of overhead to be allocated to each product line. The information shown below relates to overhead.

Mobile  Safes Walk-in Safes

Units planned for production  200  50

Material moves per product line  300  200

Purchase orders per product line  450  350

Direct labor hours per product line  800  1,700

The total estimated manufacturing overhead was $272,000. Under traditional costing (which assigns overhead on the basis of direct labor hours), what amount of manufacturing overhead costs are assigned to: (Round answers to 2 decimal places, e.g. 12.25.)

Answer: if you simplify it it is:

16x/21

Step-by-step explanation:

Answer: 16x/21

Step-by-step explanation: I believe this is the right answer.

Maybe I will answer on of your questions next year.

When testing for independence in a contingency table with 4 rows and 4 columns, there are 9 degrees of freedom.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.

The degrees of freedom are (r - 1)(c - 1) when evaluating the independence of characteristics in a contingency table with r rows and c columns.

Given, rows = 4

columns = 4

degree of freedom = (r - 1) (c - 1)

= (4 - 1) (4 - 1)

= (3)(3)

= 9

So the degree of freedom contingency table with 4 rows and 4 columns will be 9.

To learn more about degree of freedom from given link

https://brainly.com/question/17175673

#SPJ9

Answer:

to show. the difference frome each other

Answer:

2 1/12

Step-by-step explanation:

The one to one functions in this problem are the third and the sixth graphs.

Hence, in this problem, we have that:

More can be learned about one to one functions at https://brainly.com/question/10853542

#SPJ1

Answer:

.

Step-by-step explanation:

it would be 7 I believe, if she had 3 to begin with the first round and lost 5 of her points the second round her points would turn to negatives so it'll be -2 the second game round. then lastly, it says she she gained 9 more points so you have to balance out the negative into a positive and -2+9 is 7 :)

The weight of one individual apple is 2 / 3 pounds.

The bag of apples weighs 9 1/3 lbs.

There are 14 apples in the bag.

The weight of one individual apple in the bag can be calculated as follows:

weight of the bag of apples = 9 1 / 3 = 28 / 3 pounds

There are 14 apples.

Therefore,

14 apples = 28 / 3 pounds

1 apple = ? pounds

cross multiply

Hence,

weight of one apple = 28 / 3 ÷ 14

weight of one apple = 28 / 3 × 1 / 14

weight of one apple = 28 / 42

weight of one apple = 2 / 3

Therefore, the weight of one individual apple is 2 / 3 pounds.

learn more on weight in pounds here:https://brainly.com/question/730991

#SPJ1

1) (m · n)(- 3) = 9

2) (m / n)(x) = x / x, for x ≠ 0

Herein we have two operations between two functions of the form n(x) = x: (i) Multiplication, (ii) Division. In the first part we find the case of a multplication between two functions:

(m · n) (x) = m(x) · n(x)            (1)

Then,

(m · n) (- 3) = m(- 3) · n(- 3) = (- 3) · (- 3) = (- 3)² = 9

The second part present a case of a division between two functions:

(m / n) (x) = m(x) / n(x)           (2)

Then,

(m / n) (x) = m(x) / n(x) = x / x, where x = 0 leads to an indetermination.

To learn more on operations between functions: https://brainly.com/question/27915566

#SPJ1

Answer:

69°

Step-by-step explanation:

Angle AOE = 42° (angles on a line add to 180°)

OE=OA (radii)

Angle OAE = Angle OEA (isosceles triangle)

Angle EAD = 69° (sum of angles in a triangle)

Answer: I think 5

Step-by-step explanation: because think about what would equal 9 so 9x1 equals 9 I thought so I did it for the division 5/5 is 1 so 9/1 is 9 so do multiply 5/5 is 1

then 9x1 is 9 so N=5

hope that helps

A percentage is a number or ratio expressed as a fraction of 100. If a camera has a listed price of 649.95 before tax. If the sales tax rate is 6.5% then total cost of the camera with sales tax included is 692.2.

A percentage is a number or ratio expressed as a fraction of 100.

Price before tax is 649.95.

Sales tax is 6.5%, lets convert it to decimal 6.5/100=0.065.

What is the 6.5% of 649.95.We need to multiply 0.065 with 649.95

=649.95*0.065=42.25.

Now lets add 649.95 and sales tax 42.25 to get the total.

=649.95+42.25=692.2

Therefore the total cost of the camera with sales tax included is 692.2.

To learn more on Percentage click:

https://brainly.com/question/21743489

#SPJ1

The area of the scale drawing is 0.315 m².

The area of a two-dimensional figure is the amount of space it occupies. In other words, it is the number of unit squares covering the surface of a closed figure.The standard area unit is square units, which are commonly represented as square inches, square feet, and so on. Let's go over some examples and practice questions to learn how to calculate the area of various geometric shapes.

The given data:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 m on the sculpture which is 10 cm to 800 cm or 0.1 m to 8 m.

Area of the given sculpture= 25.2 m²

Area of the scale drawing= (25.2 × 0.1)/8

Area of the scale drawing= 0.315 m²

To know more about area visit:
https://brainly.com/question/28000018

#SPJ4