use the substitution method to solve the system of
equations.choose the correct ordered pair.

3x+y=10
y=x-2

A.(4,2)
B.(5,3)
C.(2,0)
D.(3,1)

Answers

Answer 1

Answer:

I THINK THE ANSWER IS D

TELL ME IF I"M WRONG

Step-by-step explanation:



Related Questions

An album contains x black-and-white photographs and y color photo graphs. If the album contains 24 photographs which of the following cannot be true?

A.x=2y
B.x=3y
C.x=4y
D.x=5y

Answers

C x=4y can no be true.
x=4y, total phonographs are 5y
5y cannot be 24 if y is an integer.

24 is 4/5% of what number

Answers

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

Clara has $67 in her piggy bank. She spent x dollars on a dog bowl and now has $57.4 remains.

A) 67+x=57.4

B) 57.4+x=67

C) x/67=57.4

D) x-57.4=67

Answers

Answer:

B) 57.4+x=67

Step-by-step explanation:

We take the amount in the piggy bank.  Then we take the amount spent and add it to the amount she has left.  These two amounts should be equal

piggy bank = spent + left

67 = x + 57.40


Find greatest common factor of the following monomials

45m. 6m

Answers

Answer:

m

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 45m and 6m. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

45m: 1, 5, 9, 45, m

6m: 1, 2, 3, 6, m

Both have 1 and m as factors. Our GCF is these two factors multiplied which is 1m=m.

This month salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much did that salesperson make?

Answers

Answer: Salesperson A made $7,428.30 in commission which is $569.10 more than Salesperson A.

Step-by-step explanation:

A: $67,530 * 0.11  = $7,428.30

B: $85,740 * 0.08 = $6,859.20

                                   $ 569.10

On Monday, Harry had 75\%75% as many toys as Teddy did. On Tuesday, after Harry acquired 3232 more toys and Teddy acquired 15\%15% more than he had on Monday, Harry had as many toys as Teddy did. How many toys did Harry have on Monday?

Answers

Let the number of toys Teddy has on Monday = x

On Monday Harry has = 75% of x or 0.75x

As given, On Tuesday, after Harry acquired 32 more toys and Teddy acquired 15% more than he had on Monday, Harry had as many toys as Teddy did.

Toys Teddy has = [tex]x+\frac{15x}{100}[/tex]

=[tex]\frac{100x+15x}{100} =\frac{115x}{100}[/tex] = 1.15x   .... (i)

Toys Harry has = 0.75x+32   ...... (ii)

As both have equal toys now, so equation (i) equals equation (ii)

[tex]1.15x=0.75x+32[/tex]

[tex]1.15x-0.75x=32[/tex]

[tex]0.4x=32[/tex]

x=80

Hence, Teddy had 80 toys on Monday.

And Harry had 75% of 80 toys = 60 toys on Monday.

A third-grade gym class has 54 students. The gym teacher divides them into 9 groups. She then divides each group into 2 teams. How many students are on each team?

Answers

Answer:3


Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3


David deposits $230 into a savings account that accrues 12% interest compounded quarterly each year. How much money will dave earn in interest after 3 years?

A. $97.93

B. $99.38

C. $327.93

D. $329.38

Answers

Answer:

C. $327.93

Step-by-step explanation:

The formula for interest compounded quarterly is

A = P(1 + r/n)nt   where P is the principal

                                r is the rate

                                t is the time in years  

                                n is the compoundings per year

 p =230  r= .12  t= 3  n =4  since it is quarterly

Substituting these in

A = 230 (1+ .12/4)^(3*4)

   = 230(1.03)^12

    =327.93

Answer:

The answer is C. $327.93

Hope this helps and have a Merry Christmas.  

P.S. Could you make me brainlest?  It would help SO much.  Thanks!


i am a fraction greater than 1/2 and less than 6/8

Answers

3/4 because 1/2 equals 50% and 1/4 plus that would be 75% less than 6/8

Answer:

5/8

Step-by-step explanation:

it is 5/8 because if it is greater than1/2, which =to 4/8, and less than 6/8, it must be the number in between, which is 5/8

In the figure below , a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base. The height of the cone is 10 inches, and it’s diameter is 6 inches. What is the area of the cross section formed by the intersection

Answers

Answer:

The area of cross-section is [tex]30inch^2[/tex]

Step-by-step explanation:

we are given that

a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base

So, cross -section will be right angled triangle

whose base will be along diameter of cone

so, base of triangle = diameter of cone =6 inch

base =6 inch

Height of triangle will be same as height of cone

so, height of triangle =10inch

now, we can find area

[tex]Area=\frac{1}{2}\times 6\times 10[/tex]

[tex]Area=30inch^2[/tex]


The area of the cross-section formed by the intersection is 9π square inches.

How to determine the area

When a cone is cut by a plane passing through its vertex and perpendicular to its base, the resulting intersection is a triangle similar to the base of the cone.

Such that;

Height of the cone = 10 inchesRadius= diameter / 2 = 6 / 2 = 3 inches)

Using the properties of similar triangles, the triangle formed by the intersection is similar to the base of the cone.

The area of the cross-section formed by the intersection is the area of a circle with radius 3 inches:

Area = πr²

Area = π × 3²

Area = π × 9

Area = 9π square inches

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I need help with -5 -3w = 7w please!

Answers

Answer: W= 0.5

Step-by-step explanation:

You add 3w to both sides to get -5= 10w and then you divide everything by 10 to get w= 0.5

-5 - 3w = 7w

-5 - 3w+3w = 7w+3w <<--- add 3w to both sides

-5 + 0w = 10w

-5+0 = 10w

-5 = 10w

10w = -5

10w/10 = -5/10 <<--- divide both sides by 10 to isolate w

w = -5/10

w = -1/2 <<--- reduce; this is the answer in fraction form

w = -0.5 <<---  this is the answer in decimal form

solve equation for x

Answers

Answer:

n-20

--------

3a

Step-by-step explanation:

(3ax - n)/5 = -4

The first step is to multiply each side by 5 to get rid of the fraction

(3ax - n)/5  * 5= -4* 5

3ax - n = -20

Then we need to add n to each side.

3ax -n+n = -20+n

3ax = n-20

Divide each side by 3a to isolate x

3ax/3a = (n-20)/3a

x = (n-20)/(3a)

A construction worker estimates that a kitchen remodel will take 1 person 120 hours. If 4 people work on the job for 6 hours a day, how many days will it take for them to complete the job?

Answers

it would take five days for them to complete their job if you want an explanation just ask


It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

Let's calculate the total work hours required to complete the kitchen remodel and then determine how many days it will take for the 4 people working 6 hours a day to finish the job.

The estimated total work hours for one person to complete the remodel is 120 hours.

Total work hours required = 120 hours

Now, we have 4 people working on the job, and each person works 6 hours a day.

Total work hours per day with 4 people = 4 people * 6 hours/person = 24 hours

To find the number of days it will take to complete the job, we divide the total work hours required by the total work hours per day with 4 people:

Number of days = Total work hours required / Total work hours per day with 4 people

Number of days = 120 hours / 24 hours/day

Number of days = 5 days

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

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Sin (19pi/6)=_____ help please !!!

Answers

Answer:

sin(19pi/6)=-1/2


Step-by-step explanation:


Find the value x that makes ABCD a parallelogram

Answers

Answer:

D.) 6

Step-by-step explanation:

A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.

5 * 6 = 30.

Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

What is the parallelogram?

A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

A parallelogram needs supplementary consecutive sides.

So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.

[tex]x=6\\5(6)=30[/tex]

Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

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p=2L+2W find p if L=10 and W=5

Answers

Answer:

30

Step-by-step explanation:

When l = 10, and w = 5

Plug in 5 for "w" and 10 for "l" inside the equation.

p = 2(10) + 2(5)

Solve for the variable "p". Simplify the equation. Remember to follow PEMDAS. First, solve the multiplication

p = 20 + 10

Next, add.

p = 30

30 is your answer for p in this problem

~

Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry has determine his fixed cost to be $10 a week and that his profit for a week can be modeled by the function y = 15x − 10. Which BEST describes the domain for this function? A) number of yards Jerry cuts; x ≥ 0 B) number of yards Jerry cuts; x ≤ 10 C) number of yards Jerry cuts; x ≥ 10 D) number of yards Jerry cuts; 0 ≤ x ≤ 10

Answers

Answer:  D) Number of yards Jerry cuts; 0 ≤ x ≤ 10  

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.



Answer:

d

Step-by-step explanation:

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own? Do not do any rounding.

Answers

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

To find LCM of 20 and 30

LCM (20, 30) = 60

To find the efficiency

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

A moving walkway at an airport moves at a pace of 1.75 feet per second. If you stand on the walkway as it moves, how long will it take to transport you 280 feet? CLEAR CHECK 160 seconds 278.25 seconds 490 seconds 625 seconds

Answers

Answer:

160 Seconds

Step-by-step explanation:

acceleration * seconds = distance

1.75 * (x) = 280

1.75x=280

x= 280/1.75

x= 160

In the given case, It will take 160 seconds to transport you 280 feet on the moving walkway.

To determine how long it will take to transport you 280 feet on a moving walkway, we can use the formula:

This formula is particularly useful in various scenarios, such as calculating travel time for a journey, determining how long it will take for an object to reach a certain location, or estimating the time it will take for a process to complete at a given speed.

Time = Distance / Speed

Plugging in the given values, we have:

Time = 280 feet / 1.75 feet per second = 160 seconds

Therefore, the correct answer is 160 seconds.

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Which fraction is halfway between 3/7 and 10/21

A.) 7/15

B.) 19/42

C.) 15/42

D.) 4/9

Answers

Answer:

B) 19/42

Step-by-step explanation:

To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.

Because 10/21 > 3/7 we subtract in that order

[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]

Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is

[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]

A line passes through the point (2, -4) and has a slop of 0 what is the equation of the line. A.)y=2, B.) x=2, C.)y=-4 or D.)x=-2

Answers

D you can do -4 minus 0 = -4 and then 2 minus 0 = 2 so -4 divived by 2 is -2

Rod smokes 1 1/2 packs of cigarettes per day. Rod buys cigarettes by the carton. There are ten packs of cigarettes in each carton. If Rod pays $35.80 per carton, how much does it cost him for each day of smoking?

Answers

Answer:

It costs Rod $5.37 per day to smoke.

Step-by-step explanation:

If a carton costs 35.80 and there are 10 packs per carton

$35.80 /10 = 3.58 per pack

Rod smokes 1.5 packs per day

1.5 * 3.58 = $5.37

It costs Rod $5.37 per day to smoke.

A) his health
B) around 5.38

52.85 ROUNDED AT NEAREST ONE

Answers

Answer: 53

52.85 is closer to 53, than it is to 52

The digit after the ones digit is 8, which is 5 or larger, so that tells us to round up from 52 to 53. We drop everything after the ones digit.

Y= -2x-9 in standard form

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


2x +  y = -9.

y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let, consider the equation of y = mx+c,

where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.

standard form of linear equation is :

y = mx+c  

comparing it with given equation :

y= -2x-9.

m = -2, c = -9

Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

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PLEASE HELP! :( this table below shows the future value of a certificate of deposit (CD), after x years.Andre states the applied interest is simple interest.True or False? and why if you can?

Answers

Answer:

Andre states that the applied interest is simple interest, this statement is true.

Step-by-step explanation:

From the given table it is noticed that the value of y increased by 17.50 as the value of x increased by 1.

The rate of change is calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For first two years the rate of change is

[tex]m=\frac{535.00-517.50}{2-1}=17.50[/tex]

The rate of change for next two years is

[tex]m=\frac{552.50-535.00}{2-1}=17.50[/tex]

Similarly, the rate of change for all years in 17.50.

Since the rate of change is same for all years, therefore the future value is increased by a constant rate, therefore the applied interest is simple interest.

So, the statement "the applied interest is simple interest" is true.

Answer: TRUE

Step-by-step explanation: (Apex) just did the quiz 9/26/19

What is the domain and range for the following function and its inverse? f(x) = -x + 5

Answers

Answer:

Domain: [tex]\mathbb{R}[/tex]

Inverse: [tex]f^{-1}(x) = -x + 5[/tex]

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

[tex]f^{-1}(x) = -x + 5[/tex]


Answer:

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

[tex]f^{-1}=-x+5[/tex]

Step-by-step explanation:

[tex]f(x) = -x + 5[/tex]

Domain is the set of x value and range is the set of y value. There is no restriction for x  and y in a linear function.

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

Now find the inverse

[tex]f(x) = -x + 5[/tex]

Replace f(x) with y

[tex]y = -x + 5[/tex]

Replace x with y and y with x

[tex]x = -y + 5[/tex]

Subtract 5 from both sides

[tex]x-5=-y[/tex]

Divide both sides by -1

[tex]y=-x+5[/tex]

Replace y by f^-1

[tex]f^{-1}=-x+5[/tex]

A garden is 6 yards 24 inches wide and 6 yards long. Write the ratio of the width to the length as a fraction in simplest form.

Answers

Answer: 10/9

Step-by-step explanation:

On the width:

6 yards = 18 feet

24 inches = another 2 feet

Total width = 20 feet

On the length:

6 yards = 18 feet

Ratio of width to length = (20 feet) / (18 feet) = 10/9

The actual width of the garden is 72 inches, which is equivalent to 2 yards

To determine the actual width of the flower garden, we need to use the given scale of 1:12. This means that 1 inch on the plan represents 12 inches in reality. Given that the flower garden is 6 inches wide on the plan, we set up a proportion to find the actual width.

The proportion is:

1 inch on plan : 12 inches in reality = 6 inches on plan : x inches in reality

So we calculate:
(1 inch / 12 inches) = (6 inches / x inches)

Now we solve for x:
1/12 = 6/x
x = 6 * 12
x = 72 inches

Therefore, the actual width of the garden is 72 inches, which can be converted into yards by knowing that 1 yard equals 36 inches. Thus, 72 inches is equivalent to 2 yards (since 72 / 36 = 2).

a painter uses 4 gallons of paint to paint each apartment in a building. if the painter has 45 gallons of paint, how many apartments can be painted completely? how much paint will be left over?

Answers

Final answer:

The painter can completely paint 11 apartments with 45 gallons of paint and will have 1 gallon of paint left over.

Explanation:

A painter uses 4 gallons of paint for each apartment. With 45 gallons of paint, you would first divide the total gallons of paint by the gallons needed per apartment to determine how many apartments can be painted completely. Since 45 gallons ÷ 4 gallons per apartment equals 11.25, the painter can only completely paint 11 apartments, because you can't partially paint an apartment. The fractional part, .25, represents the leftover paint. To find out how much paint is remaining, you would then multiply the fractional part by the amount of paint used for one apartment, which is 4 gallons. So, 0.25 × 4 gallons equals 1 gallon. Therefore, the painter will have 1 gallon of paint left over after painting 11 apartments.

Please help with this!!!

Answers

Answer:

z = 123.9

Step-by-step explanation:

We can use trigonometric functions, because we have a right triangle.  We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.

tan 20 = opposite/ adjacent

tan 20 = 45.1/z

Multiply each side by z

z* tan 20 = 45.1 /z * z

z * tan 20 =45.1

Divide each side by tan 20

z = 45.1 / tan 20

z=123.9112316

To one decimal place,

z = 123.9

At a school for performance art students 25 of the girls study music, 35 of the girls study dance, and 16 of the girls study music and dance. What fraction of those who study music also study dance?

Answers

To get the total amount of students, you would add 25 and 35. You don't add the 16 because they take part in music and dance.

25+35=60

Out of 60 students, 16 study both dance and music.

16/60

Divide both sides by 4, the GCF.

16/4=4
60/4=15

Your answer would be 4/15. Hope this helps! :)
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