You must use the substitution method. 3x+2y=11
y=5x-1

Answers

Answer 1
plug in y=5x-1 for y in 3x+2y=11

3x+2(5x-1)=11
3x+10x-2=11
13x=13
x=1

plug x=1 to y=5x-1 to find y

y=5(1)-1
y=5-1
y=4

ANSWER: x=1 and y=4 which is (1,4) as an ordered pair

Related Questions

BRAINLIEST!

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Answers

Answer:

D. The manager should check both relative frequencies by row and by column to look for an association.

Step-by-step explanation:


the correct answer would be D

Find the function rule.

X: -2, -1, 0, 1, 2
Y: 9,4, -1, -6, -11

Answers

The function rule is  y = -5x - 1 , obtained by observing the linear relationship where  y  decreases by 5 as  x increases by 1.

To find the function rule that relates the values of  x  to  y , let's first observe the pattern in the given data:

[tex]x & y \\-2 & 9 \\-1 & 4 \\0 & -1 \\1 & -6 \\2 & -11 \\[/tex]

Notice that as  x  increases by 1,  y  decreases by 5. This suggests a linear relationship between  x and  y , where the slope of the line is -5.

The general form of a linear function is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

To find the y-intercept, let's pick any point from the table, for example, when ( x = 0 ), ( y = -1 ).

So, we can plug the values of ( x ) and ( y ) into the linear function formula:

[tex]\[-1 = (-5)(0) + b\][/tex]

[tex]\[-1 = 0 + b\][/tex]

[tex]\[b = -1\][/tex]

Now we have the slope (( m = -5 )) and the y-intercept (( b = -1 )), so the function rule is:

[tex]\[ y = -5x - 1 \][/tex]

Now, let's verify this function rule with another point from the table, for example, when ( x = 2 ):

[tex]\[ y = -5(2) - 1 \][/tex]

[tex]\[ y = -10 - 1 \][/tex]

[tex]\[ y = -11 \][/tex]

This matches the value of ( y ) in the table, confirming that our function rule is correct.

determine if the number is written in scientific notation. if not explain 5.6 x 10^12


A. no its not written as a power of 10

B.no the first factor is not a number between 1 and 10

C. yes the number is written in scientific notation

Explain your answer please

Answers

The correct answer is C) yes, the answer is written in scientific notation.

Explanation:

In scientific notation, we have a decimal number multiplied by a power of 10.  The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.

In this problem, we have 5.6, which has the decimal after the first non-zero digit.  We also have 10¹², which tells us to move the decimal 12 places.

This is in scientific notation.

Answer:

C. Yes, the number is written in scientific notation.

Step-by-step explanation:

We have been given a number [tex]5.6\times 10^{12}[/tex]. We are asked to determine whether our given number is written in scientific notation or not.

We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.

Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.

Therefore, our given number is written in scientific notation and option C is the correct choice..

Which property is illustrated by this problem?

(3+4) + 5 = 3 + (4+5)

A. Associate property of addition

B. Additive identity

C. Commutative property of addition

Answers

I believe this one's Associate property of addition

20 Points!!!
For working 13 hours you earned $45.50 and $94.50 for 27 hours. What is your rate of pay in dollars per hour? a. 14 dollars per hour b. 3.50 dollars per hour c. 6.50 dollars per hour d.2.07 dollars per hour

Will give branliest!!!
Help ASAP.

Answers

B 3.5 dollar per hour

Answer:

$3.50 per hour

Step-by-step explanation:

Given : For working 13 hours you earned $45.50 and $94.50 for 27 hours

To Find :What is your rate of pay in dollars per hour?

Solution :

Pay for 13 hours =  $45.50

So, Pay for 1 hour =  [tex]\frac{45.50}{13}[/tex]

Pay for 1 hour =  [tex]3.50[/tex]

So, rate is $3.50 per hour

So, Option B is true

Hence rate of pay in dollars per hour is $3.50 per hour

Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

Answers

what do we know? 
55 hours in 2 weeks
32 hours in the first week
So, 32 plus the amount of time she worked on the project the second week adds up to 55.
32 + x = 55
Now, simply solving! What you do to one side, you do to the other in order to isolate the variable
(32 - 32) + x = (55 - 32)
x = 23 
She worked 23 hours on the project during the second week!

Evaluate a/b for a= 1/2 and b= - 3/7


A) - 7/6

B) 3/14

C) - 3/14

D) - 32/21


Please explain your answers.
Thanks! : )

Answers

Evaluate a/b for a= 1/2 and b= - 3/7
You are given that a is 1/2 and b is -3/7
Write this down...

Answer: -7/5

Substitute the value of the variable into the expression and simplify.

Exact Form:  −7/6

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

Answers

Cylinder Volume = PI * radius^2 * height
Cylinder Volume = 3.14159 * 1 * 21
Cylinder Volume = 65.97 cc

Volume Cone = [PI * radius^2 * height] / 3
radius^2 = 3 * 65.97 / (3.14159 * 7)
radius^2 = 9
radius = 3 centimeters


The radius of the cone is 3 cm. 

Solve for x
Please help quick

Answers

a and b are perpendicular meaning that they intersect forming 90
b and c are parallel meaning that the intersection of c and a is also perpendicular

11x - 9 = 90 degrees
solve
11x - 9 = 90
add 9 to both sides
11x = 99
divide both sides by 11
x = 9

Hope this helps

I need help remembering the steps to solve a polynomial equation

Answers

Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

 3x^3-12=0

Step 2: Use a factoring strategies to factor the problem.

 3x(x^2-4)=0
3x(x+2)(x-2)=0

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

 3x=0 or x+2=0 or x-2=0

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

 x=0 or x=-2 or x=


I hope this helped you!


What is the range of the function f(x) = –2(6x) + 3?
A) (-oo,-2)
B) (-oo,3)
C) [-2,oo)
D) [3,oo

Answers

B is the answer to this question.....

Answer:

The range of the function is (-∞,3)

B is correct.

Step-by-step explanation:

Given: [tex]f(x)=-2(6)^x+3[/tex]

It is an exponential function which coefficient is negative.

Exponential function: [tex]f(x)=ab^x+c[/tex]

If a>0 then range (c,∞)

If a<0 then range (-∞,c)

[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]

[tex]a=-2[/tex]

[tex]c=3[/tex]

Range: (-∞,3)

Hence, The range of the function is (-∞,3)

Find the value of y when x equals -14 -2x-3y=49

Answers

28 - 3y = 49
-3y = 21.
3y = -21
y = 7. Hope it helps! :)

Which relationship describes angles 1 and 2?

Select each correct answer.

supplementary angles
complementary angles
vertical angles
adjacent angles

Answers

complimentary angles. when the two angles are added together they will equal 90°. anytime you see a square there in the corner of a triangle that means that corner (angle) is a 90° angle.

Evaluate the exponential expression. Write your answer as a fraction in simplest form.

(2^3)^-2

Answers

Hey there! :D

(2^3)^-2

Multiply the powers. 

2^-6 

Put the negative on the bottom. 

1/2^6

1/64= the equivalent fraction

I hope this helps!
~kaikers

Assume that the grasshopper in the food pyramid above must eat half its body weight in grass each day. If an average-size grasshopper weighs 2 grams, and 1 blade of grass weighs 0.1grams (one tenth of a gram), how many blades of grass does the grasshopper need to eat each day?

Answers

The first thing we need to know is how much grass the grasshopper needs to eat.
 We have:
 "must eat half its body weight in grass each day":
 (2 grams) * (1/2) = 1 gram
 Then,
 "1 blade of grass weighs 0.1grams"
 Then the amount you need to eat is given by:
 N = (1) / (0.1)
 N = 10 blades of grass
 Answer:
 
the grasshopper needs to eat 10 blades of grass each day

Answer:

The grasshopper needs to eat 10 blades of grass each day.

Step-by-step explanation:

The grasshopper in the food pyramid above must eat half its body weight in grass each day.

The average weight of the grasshopper is 2 grams.

The weight of one blade of grass is 0.1 grams.

Now,

The weight of grass eating by the grasshopper per day is 1 gram.

Let us assume that the grasshopper eats the "n" number of blades of the grass.

Therefore,

[tex]\begin{aligned}n \times 0.1\;\rm{gm}&=1\;\rm{gm}\\n&=\dfrac{1}{0.1}\\n&=10\end{aligned}[/tex]

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An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:


© 2011 Jupiterimages Corporation

Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
68.3
38.4
268.8
230.4

Answers

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
The answer is 268.8 (third one) just took the quiz

HELP ASAP!!!!!!!!!!!!!!!!!!!!
a. 49
b. 12
c. 7
d. 1

Answers

you could use the Pythagorean theorem which is a squared +b squared= c squared

you know a and c
a=24
c=25

24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer

abcd is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC s 4y-6 and the length of CD is 8y-18, find the value of y. 30 points for brainliest!

Answers

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4
CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y

Subtract 7y from both sides of the equation
7y - 7y + 14 = 8y - 7y
14 = y
⇒ y = 14

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

Given :

ABCD is an isosceles trapezoid with legs AB and CD and base BC.If the length of AB is (7y - 4), the length of BC s (4y - 6) and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

For more information, refer to the link given below:

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Which of these numbers is an irrational number? of these numbers is an irrational number? 3⁄5, Square root of 4, Square root of 25, Square root of 20, 5/3

Answers

square root of (20) Square roots are, for the most part, irrational. Not all of them, but most.

Calculate the maximum volume of a box that has no top and that is to be manufactured from a 30 inch by 20 inch piece of cardboard

Answers

The maximum volume is shown by a graphing calculator to be about 1056.3 in^3.

_____
That volume is achieved by folding the edges up 3.924 inches.

The volume as a function of box depth is
.. V = x(30 -2x)(20 -2x)
.. = 4x^3 -100x^2 +600x
Differentiating, we have
.. V' = 12x^2 -200x +600
We want to find where this is zero.
.. x = (200 ±√((-200)^2 -4(12)(600)))/24
.. = (200 -40√7)/24 . . . . . only the solution less than 10 makes sense
.. = (1/3)(25 -5√7)

Putting this into the formula for the volume, we find the volume of the box to be
.. V = (1000/27)*(10 +7√7) ≈ 1056.3 in^3

A flower garden is in the shape of a right triangle. One leg of the triangle is 6 ft long and the hypotenuse is 12 ft long. What is the length of the other leg?

answers
A. 10.4ft
B.12.8ft
C13ft
D14.6ft

Answers

I believe the correct answer is A 10.4 feet long.
If this answer helped you and was correct you can name me "Brainliest." ty :) 

How many drivers who start driving before they are 20 are convicted of a traffic violation within the first year of driving?

Answers

Nearly half!

Hope this helped.

If you answer (making sense) and explain (so I can understand) you will be awarded! Please help ASAPA

Answers

What you are doing is called cross multiplication. You have to multiply the top of  the first fraction by the bottom of the second fraction. 1 x 378, which equals 378. Then you multiply the bottom of the first fraction by the top of the second fraction. 250 x X. 250x=378. You then have to solve for x or divide 378 by 250. The answer to 378 / 250 = 1.512. But the instructions want you to round to the nearest tenth and that is the first decimal place. Your answer is 1.5.

Help please!
The length of a football field is 67 yards greater than the width the perimeter of the field is 346 yard. Find the length and width of the football field.

Answers

Hey. Let me help you on this one.

In order for us to solve this question, we will need to set up an equation with an unknown variable. We will then solve for it, thus receiving everything we need for the width and length of the football field. I will also be attaching an image with all the work shown, so make sure to take a look at it.

First of all, let's identify our total in the equation. In this case, if we add both length and width together, we will get one half of 346 - the perimeter due to the fact that perimeter calls for both widths, and both lengths of a rectangle. 

Let's form the equation which we will then solve.

[tex]2[x+(x+67)]=346[/tex]

In this equation, x stands for the width. You can also see "x+67", which is the length of the rectangle. Both these values are added together, and multiplied by two. Let's start solving.

Let's simplify this equation.

[tex]4x+134=346[/tex]

As you can see, we have multiplied the sum of all these numbers by two. Now, let's get rid of 134 on both sides.

[tex]4x=212[/tex]

In that step, I have deducted 134 from both sides. Now, let's get rid of four on both sides by dividing it.

[tex]x=53[/tex]

Awesome! As we know, "x" is the width. Now, knowing the width, we can find the length simply by adding 67 to the variable x since length is 67 yards longer than the width.

[tex]53+67=120[/tex]

Great! Our answer is formed.

Answer: Length of the rectangle is 120 yards, and width of the rectangle is 53 yards.


Can you please check your question for grammatical errors and repost it? I cannot currently answer your question because it is unclear.

true or false 120% of a whole number is always greater than the number? and why?

Answers

I can only use math to explain it. What is 100%?
100% = [tex] \frac{100}{100}[/tex] 
percent means per 100.
so 120% = 120/100 = 1.2
120% of a whole number. For example 120% * 10 = [tex] \frac{120}{100} * 10 [/tex] = 12
is it greater than 10. 

Since whole numbers are positive integers, then it follows that a positive integer multiplied by 1.2 will be greater than the original by 20%. 

Write three functions.
In the first function, y should vary directly with x.
In the second function, y should vary inversely with x.
In the third function, the relationship between x and y should be neither inverse variation nor direct variation.

Describe the graph of each function and give a real-world example for each.

Answers

1) y = kx . . . . . for some constant k
.. The volume of an ideal gas is directly proportional to its absolute temperature.

2) y = k/x . . . . for some constant k
.. The volume of an ideal gas is inversely proportional to its pressure.

3) y = 1.8x +32
.. Temperatures in degrees Fahrenheit are linearly related to those in degrees Celsius, but the relation is neither directly nor inversely proprotional.

So i need help (picture included)

Answers

we have that
y=-2x+3
y=(1/3)x-4

using a graph tool
see the attached figure

the solution of the system is the point (3,-3)

How long will it take for 750 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 68 mg?

A. ≈ 50 days
B. ≈ 54 days
C. ≈ 48 days
D. ≈ 52 days

Answers

For this case we have an equation of the form:
 y = A (b) ^ t
 Where,
 A: initial amount
 b: decrease rate
 t: time
 Substituting values:
 y = 750 (0.5) ^ ((1/15) * t)
 The number of days to reach 68 mg is:
 68 = 750 (0.5) ^ ((1/15) * t)
 Clearing t:
 (0.5) ^ ((1/15) * t) = (68/750)
 log0.5 ((0.5) ^ ((1/15) * t)) = log0.5 (68/750)
 (1/15) * t = log0.5 (68/750)
 t = 15 * log0.5 (68/750)
 t = 51.94
 Rounding:
 t = 52 days
 Answer:
 
D. ≈ 52 days

Answer:

52 Days

Step-by-step explanation:


45% of 40 is 18% of what number?

Answers

Answer:

45% of 40 is 18% of 100

Step-by-step explanation:

45% of 40 is 18% of what number

First we find out what is 45% of number 40

45% times 40

[tex]\frac{45}{100} * 40= 18[/tex]

Now we find

18 = 18% of what number

Let the unknown number be x

18 = 18% * x

[tex]18= \frac{18}{100} * x[/tex]

18 = 0.18 * x

Divide by 0.18 on both sides

100= x

So 45% of 40 is 18% of 100

The complete statement is 45% of 40 is 18% of 100

How to determine the number that completes the statement

From the question, we have the following parameters that can be used in our computation:

45% of 40 is 18% of what number

Represent the number with x

So, we have

45% of 40 is 18% of x

Express as an equation

45% of 40 = 18% of x

Next, we have

18 = 0.18x

Divide through by 0.18

x = 100

Hence, 45% of 40 is 18% of 100

Read more about percentage at

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Information is given about a polynomial f left parenthesis x right parenthesisf(x) whose coefficients are real numbers. find the remaining zeros of f. degree​ 3; ​ zeros: negative 8 comma negative 3 minus i−8, −3−i enter the remaining zeros of f.

Answers

A polynomial with real coefficients has either real zeros or conjugate pairs of complex zeros. A degree-3 polynomial will have 3 zeros. The one not listed is the conjugate of the complex zero listed.

The remaining zero of f(x) is -3+i.
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