larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number

Answers

Answer 1

Answer:

13 and 39

Step-by-step explanation:

let the smaller number be n then the larger number is 2n + 13 , so

n + 2n + 13 = 52

3n + 13 = 52 ( subtract 13 from both sides )

3n = 39 ( divide both sides by 3 )

n = 13

2n + 13 = 2(13) + 13 = 26 + 13 = 39

then smaller number is 13 and larger number is 39


Related Questions

5/6 + 1/2 + 3/4=

Enter your answer in the box as a mixed number in simplest form.

Answers

Answer:

2 1/12

Step-by-step explanation:

Find the value of x.
110
(4x +90)°
x = [?1°

Answers

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

to rationalize the denominator of 2sqrt12/3sqrt11, you should multiply the expression by what fraction?

Answers

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.

How to illustrate the information?

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.

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Select all of the following graphs which are one-to-one functions?

Answers

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

When does a graph represents an one to one function?

A graph represents a function when it has no vertically aligned points, that is, each value of x is mapped to only one value of y.The function is one to one if there are no horizontally aligned points, that is, each value of y is also related to only one value of x.

Hence, in this problem, we have that:

Graphs 2 and 4 are not functions.Graphs 1 and 5 are not one to one functions.Graphs 3 and 6 are one to one functions.

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What multiple of 81 is between 80200 and 80300?

Answers

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.

What is multiple?

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.

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A model plane has a scale of 1 in 6 yards if the model plane is 3 in tall then how tall is the real plane

Answers

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.

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A camera has a listed price of 649.95 before tax. If the sales tax rate is 6.5% , find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

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.

What is percentage?

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.

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please help or else I won’t be able to play in my softball game today

Answers

Answer:

a=7

Step-by-step explanation:

-2 to 4 is 6 for the y values, and that is skipping from 0 to 2 in the x values. So if you add 1 to the x values instead of 2, then the y value would be cut in half. So you would add 3 instead of 6.

Good luck in your softball game!

An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm. on the drawing for every 8 m. on the sculpture. What is the area of the scale drawing?

Answers

The area of the scale drawing is 0.315 m².

Define area.

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

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6
[tex] \frac{6}{7} + \frac{1}{2} [/tex]
Add. Write the answer in simplest form​

Answers

The answer is 1/5/14
Simplest form is 19/14
Mixed form is 1/5/14

Anyone please solve this math. Thanks in advance

Answers

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)

Which values are solutions to the inequality -3x - 4 < 2 ?

Answers

Answer:

-3x-4<2

Step-by-step explanation:

it would end up being 3

INEQUALITY

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

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]

The shapes below are drawn on the centimetre grid.
Show that the triangle and the rectangle have the same area.

Answers

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

How to Find the Area of a Rectangle and a Triangle?

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.

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Write this English phrase as an algebraic expression. Let the variable x represent the number.
three subtracted from a number
translated into an algebraic expression:

Answers

The English phrase translated to algebraic expression is x - 3.

How to translate into an algebraic expression?

We are to write the English phrase as an algebraic expression.

x represents the number .

The English phrase is "three subtracted from a number".

The number is x.

Therefore, the English phrase translated to an algebraic expression is as follows:

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

Therefore, the algebraic expression of three subtracted from a number is

x - 3

where

x = The number

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Marty can buy lunch for 5 dollars in the cafeteria how many days can he buy lunch with 30 dollars

Answers

Answer: 6 days

5 per each lunch
Put it on A proportion: 5/30=1/x

where x is how many days can Marty buy lunch with 30 dollars and the 1 represents one day

30=5x
30/5= 6

Trey wants to buy a bond that will mature to $5000 in nine years. How much should he pay for the bond now if it earns interest at a rate of 2% per year, compounded continuously?
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

The amount that should be invested today is $544.56.

How much should be invested today?

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:

A= amount e = 2.7182818N = number of years r = interest rate

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

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Use the number line below, where RS = 9y +5, ST = 3y + 6, and RT = 59.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
b. Find RS and ST.
RS=
ST=
(Type an integer or a decimal.)
(Type an integer or a decimal.)
S

Answers

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 a rectangular parking lot is
7031m?
If the with of the parking lot is 79m,
what is its length?

Answers

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


Kevin rode his bike 18 miles in 1 1/2 hours. Write the ratio for miles to
hours in three different ways.

Answers

Kevin rides hid bike at 12mph

you can write that as

12:1

12 to 1

12/1

Well thats 12 miles per hour, so you could do 12:1, 24:2 or 36:3

A bag of apples weighs 9 1/3 lbs. If there are 14 apples in the bag, what is the weight of one individual apple

Answers

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

How to find the weight of each apple ?

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.

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When testing for independence in a contingency table with 4 rows and 4 columns, there are _____________ degrees of freedom. Select one: a. 6 b. 7 c. 9 d. 5 e. 4

Answers

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

What is Degree 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.

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Jennifer gained 3 points in the first round of a game, lost 5
points in the second round and gained 9 points in the third
round. What are her total points?

Answers

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 :)

Hello! First of all, what is 2/3x8/7?

Also, as a side note, I am leaving Brainly...until next summer! I will be dormant until I am released from (redacted) grade. See you next summer, and answer this question!

Answers

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.

What are the 3 correct answers?

Answers

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.

I need help solving the following equation. Please and thank you...
(3x^2+2x+1) - (-3x+x^2+4)

Answers

Your answer would be (2x-1)(x+3) I hope I helped let me know.

Need help with this math quick. Need to get this done.

Answers

1) (m · n)(- 3) = 9

2) (m / n)(x) = x / x, for x ≠ 0

What is the result of two operations between two functions?

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.

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A square sandbox has an area of 89ft^2. Estimate the length of one of the sides of the sandbox

Answers

The length of one of the sides of the sandbox is 9.43 feet.

What is a square?

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

The area of a square is equal to the squared of sides or the multiplication of two sides.

Here the square sandbox has an area of 89 ft²

So the area would be as

⇒ the length of side = √area of the sandbox

⇒ the length of side = √89

⇒ the length of side = 9.43

Therefore, the length of one of the sides of the sandbox is 9.43 feet.

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If f(x) = |x|, which equation describes the graphed function?

Will mark as brainliest

Answers

Answer:

to show. the difference frome each other

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.
Units planned for production
Material moves per product line
Purchase orders per product line
Direct labor hours per product line
(a)
* Your answer is incorrect.
(1) One mobile safe
(2) One walk-in safe $
Mobile Safes
eTextbook and Media
200
300
450
800
Walk-in Safes
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, eg. 12.25.)
448
3808
50
200
350
1,700
per unit
per unit

Answers

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.

Manufacturing overhead cost

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.

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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.)

ASAP
Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.

3.5 x 108
0.35 x 109
3.5 x 109
0.35 x 1025

Answers

The division of the numbers in indices will be B.

0.35 × 10^9

How to compute the value?

It should be noted that the information is about division of indices.

This will be:

(3.185 × 10^17) / (9.1 × 10^8)

= 0.35 × 10^9

In conclusion, the correct option is B.

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