The sum of two positive numbers is 45. The difference between the numbers is 9. What
is the value of the larger number?

Answers

Answer 1

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer 2

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:


Related Questions

A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft

Answers

Answer:  

IM JUNNA HAFT TO SAY IS 60

Step-by-step explanation:

The student council is selling Fall festival t-shirts. Long sleeve shirt sell for $12 and short sleeve shirts are $2 less. They sell 606 shirts for a total of $6,778. How many long sleeve shirts were sold?

Answers

Answer:

359 long sleeve shirts were sold

Step-by-step explanation:

Step one:

given data

let long sleeve shirts be x

and short sleeve shirts be y

Long sleeve shirt sell for $12

short sleeve shirts are $2 less= 12-2= $10

They sell 606 shirts

x+y=606--------1

total cost of the shirts =$6,778.

12x+10y=6778-------------2

therefore the systems of equation for the situation si

x+y=606--------1

12x+10y=6778-------------2

from eqn 1, x=606-y

put x=606-y in eqn 2. we have

12(606-y)+10y=6778

7272-12y+10y=6778

solve for y

-2y=6778-7272

-2y=-494

2y=494

divide both sides by 2

y=4944/2

y=247

put y= 247 in eqn 1

x+247=606

x=606-247

x=359

Hence, 359 long sleeve shirts were sold?

An artist uses a 3-foot piece of wood to carve statues she uses 1/6 foot pieces of wood for each statue how many statues can be made from all the wood

Answers

Answer:

18

Step-by-step explanation:

Dimension of piece of wood = 3 ft

Dimension of piece of wood used for one statue = [tex]\frac{1}{6}[/tex] ft

To find:

Number of statues that can be made from all the wood ?

Solution:

To find the total number of statues that can be carved from the given piece of wood, we need to divide the dimensions of given piece of wood with the piece required to carve one statue.

Formula:

[tex]\dfrac{a}{\frac{b}{c}} = \dfrac{a\times c}{b}[/tex]

Number of statues that can be made:

[tex]\dfrac{3}{\frac{1}{6}}\\\Rightarrow \dfrac{3\times 6}{1}\\\Rightarrow \bold{18}[/tex]

Therefore, 18 number of statues can be made.

what is 0.34 round to the nearest tenth

Answers

Answer:

0.3

Step-by-step explanation:

We use the following rules to round 0.34 to the nearest tenth:

A) If the last digit in the fractional part of 0.34 is less than 5, then simply remove the last the digit of fractional part.

B) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.

C) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.

With 0.34, rule A applies and the answer is: 0.3

Answer:

0.3

Step-by-step explanation:

round down because its 4


Fill in the missing values in the table. Then determine the constant of proportionality.

blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is

Answers

Answer:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

Here, k is the constant of proportionality.

From the table, taking the first two points to determine the constant of proportionality.

Yards                Feet

1/2                       1.5

1/3                        1

Using the equation

substituting y = 1.5 and x = 1/2

y = kx

k = y/x

k = (1.5) / (1/2)

k = 1.5 / 0.5

k = 3

also substituting  y = 1 and x = 1/3

k = y/x

k = 1 / (1/3)

k = 3

As the constant of proportionality is the same.

Therefore, the constant of proportionality = k = 3

Determining Blank 1

Yards = x = 2 1/3 = 7/3

y = blank 1 = Feet ?

k = 3

Using the equation

y = kx

blank 1 = Feet = y = 3 (7/3)

blank 1 = Feet = y = 7

Therefore, Blank 1 = y = Feet =  7

In other words,

When Yards = 2 1/3, then Feet = 7

Determining Blank 2

Feet = y = 3

Blank 2 = x = yards ?

k = 3

Using the equation

y = kx

Blank 2 = x = yards =  y/k    

Blank 2  = x = yards = 3/3

Blank 2 = x = yards = 1

Therefore, Blank 2 = yards = x = 1

In other words,

When Yards = 1, then Feet = 3

Determining Blank 3

yards = x = 2

Blank 3 = y = Feet ?

k = 3

Using the equation

y = kx

y = Blank 3 = Feet = 3(2)

y = Blank 3 = Feet = 6

Therefore, Blank 3 = Feet = y = 6

In other words,

When Yards = 2, then Feet = 6

Determining Blank 4

Feet = y = 4.5

Blank 4 = x = Yards ?

k = 3

Using the equation

y = kx

x = Blank 4 = y/k

x = Blank 4 = 4.5/3

x = Blank 4 = 1.5

Therefore, Blank 4 = x = Yards= 1.5

In other words,

When Yards = 1.5, then Feet = 4.5

Summary:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Help please 43 points

Answers

The mean you would all up all the total and divided it by the amount of numbers so it would be.

$0+$10+ $20+$30+40+$50+$60+$70+$80 divide by 9 =

360/9=40

Answer:

Get the data from the table:

40, 45, 50, 55, 75, 80, 85

Median is the middle number:

55

Mean is the average:

(40+ 45+ 50+ 55+ 75+ 80+ 85)/7 =  61.42

Rachel and Sarah spent:

80 + 85 = 165

Write the difference and simplest form (5n-3)-(-2n+7) 100 points

Answers

Answer:

7n - 10

5n - 3 + 2n - 7

(distribute the negative sign throughout the equation) (then just combine like terms)

Please help meee hbenekneje

Answers

800 miles hope it helps

solve the inequality
h-(-2)≥10

Answers

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

Learn more here: https://brainly.com/question/17448505

what is the answer to -3(9-x)+6x

Answers

Answer: 9−27

Step-by-step explanation:

Convert 11/3 into a mixed number.


3 2/3
4 1/3
3 1/6

Answers

Answer:

3 2/3

Step-by-step explanation:

I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?

Answers

Answer:

$17.48

Step-by-step explanation:

^^^^^^^^^^^^^

Robin has 3 feet of ribbon. She uses part of it for a craft and has 2.5 feet left. She divides the 2.5 remaining feet among her 10 friends. How much ribbon does each friend receive?

0.25 feet
0.3 feet
25 feet
30 feetWhich gives the correct order of steps needed to multiply the problem below?

Answers

Answer:

0.25 feet for each friend because 2.5/10=0.25

Answer:

0.25 ft.

Step-by-step explanation

You have to divide 2.5 by the amount of friends she has so 2.5/10. Then you would moce the decimal one place forward. You would get 0.25.

Happy to help! Have a great day!

which dot thing do i put?

Answers

Answer:

arrow to the right no filled in dot

Step-by-step explanation:

the (>) shows you which direction the thing is going

in this situation you just have to simplify the problem

4x+2=10

-2. -2

4x=8

x=2

x>2

Answer:

You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)

Step-by-step explanation:

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a
$8 per pound
b
$5 per pound
c
$35 per pound
d
$0.125 per pound

Answers

Answer:

$8 per pound

Step-by-step explanation:

40 ÷ 5 = 8

$40 per 5 pound= 8

$8 per 1 pound = 8

8$ per pound because 40 divided by 5 is 8

Is point 25,20 on the line

Answers

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.

Answers

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

4) Kai has 20 songs on his playlist, and is
adding 2 songs per minute. Write an equation
that represents this situation, where y is the
number of songs on Kai's playlist after x
minutes.

Answers

Answer: 20+2x=y

Step-by-step explanation:

PLEASEE HELPP ME DO THISS​

Answers

Click on the photo to view full solution

Solve for side BA
(show your work)

Answers

Answer:

BA = 25.5961

Step-by-step explanation:

To solve for side BA, we need to use the correct trigonometric function that relates (from the perspective of angle B) side AC and BA.

AC is Opposite of angle B

BA is the Hypotenuse

The function we use here is Sine. Sine is:

Sin(θ) = Opposite/Hypotenuse

So we simply substitute our information to solve.

Sin(62) = 22.6/BA

BA = 22.6/Sin(62)

Typing this into our calculator we get:

BA = 25.5961

(This is rounded to 4 decimal places)

999998376474 x 9999991737

Answers

Answer:

9.99997550221

Step-by-step explanation:

Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline

Answers

Answer:

[tex]y = \frac{3}{5} + x[/tex]

Step-by-step explanation:

Given

Represent Mai's distance as x and Clare's distance as y

[tex]Mai = x\ miles[/tex]

[tex]C = \frac{3}{5}[/tex] farther than Mai

Required

Determine the relationship between both

[tex]C = \frac{3}{5}[/tex] farther than Mai

Substitute x for Mai

[tex]C = \frac{3}{5}[/tex] farther than x

Express as a mathematical expression:

[tex]C = \frac{3}{5} + x[/tex]

Recall that Clare's distance is represented by y.

So, we have:

[tex]y = \frac{3}{5} + x[/tex]

Hence, the relationship is: [tex]y = \frac{3}{5} + x[/tex]

Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).

Step-by-step explanation:

Can anyone help I’m struggling with this

Answers

If you type that equation into Desmos graphing calc it’ll solve it for you

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

which describes the correlation shown in the scatter plot ?

A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation ​

Answers

I’m pretty the answer is b but I might be wrong

Answer:

It is B because it is negative correlation.

Step-by-step explanation:

Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.

It is B.

13
Find the area and circumference.
(a)
18 in
AREA
Round to the nearest hundredths.
A) 4071.50 in?
B 1017.88 in2
C 113.09 in
D 226.19 in

Answers

Answer:

The area of the circle is":

A = 1017.36 in²

The circumference of the circle is:

C = 113.09 in

Step-by-step explanation:

Given

r = 18 in

We need to determine the area and circumference of the circle

Using the formula to determine the area

A = πr²

   = 3.14 × (18)²

   = 3.14 × 324

   = 1017.36 in²  (Rounded to the nearest 0.01 or  the Hundredths Place)

Thus, the area of the circle is":

A = 1017.36 in²

Using the formula to determine the circumference.

C=2πr

  = 2 × 3.14  ×  18

  = 113.09 in

Thus, the circumference of the circle is:

C = 113.09 in

A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number?

Answers

Answer:

54,265 fishes

Step-by-step explanation:

The formula for Population decrease =

P(t) = Po × e^-rt

Where

P(t) = Population after time t

Po = Initial population = 95000

r = decrease rate = 4% = 0.04

t = time in years = 14

Hence

P(t) = 95,000 × e ^- 0.04 × 14

P(t) = 95,000 × e^-0.56

P(t) = 54264.861066 fishes

Approximately = 54,265 fishes

The total fish the company caught over the first 14 years, to the nearest whole number is 54,265 fishes

3. Circle the smallest number.
-2.5 and 1.5
Plss answers

Answers

Answer:

-2.5

Step-by-step explanation:

-2.5 < 1.5

Answer:

1.5

Step-by-step explanation:

because it is basic decimals 1.5 would be 15 while 2.5 will be 25

Choose all the expressions that are equal to 0.8 × 0.03.
A. 8100×3100
B. 3100×810
C. 80100×3100
D. 310×8010
E. 810×3100

Answers

Answer: 8/10 × 3/100

3/100 × 8/10

Step-by-step explanation:

To be able to solve this question, we need to convert the decimals to Fractions. After they've bee converted to Fractions, we can then look at the options given and see the correct option.

0.8 will be 8/10 when converted to a fraction while 0.03 will be 3/100. Therefore, the correct option will be:

= 8/10 × 3/100 or 3/100 × 8/10.

Therefore, options B and E are correct.

Answer:

Step-by-step explanation:

ace

Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.

Answers

2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

49/8 as a mixed number

Answers

ummm [tex]6\frac{1}{8}[/tex] aha-

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