solve the system of equations using elimination. 3p+9q=6 5p-5q=30

Answers

Answer 1
45p-45q=270
15p+45q=30

Solving this will get 60p=300 so p=5
Plug it in and we get 15+9q=6 so q=-1

The answer is p=5 q=-1


Answer 2
3p+9q=6
5p-5q=30

3(5)+9(-1)=6
15-9=6✔

5(5)-5(-1)=30
25+5=30✔

p=5
q=-1

Related Questions

part 2
Fred bakes 10 dozen cookies for the bake sale. He makes the following types of cookies:
. 1/2 chocolate chip
. 1/4 peanut butter
. 1/8 sugar cookies
. 1/8 oatmeal raisin cookies

4. How many of each type of cookie did Fred make? Show your work.

Chocolate chip_________
Peanut Butter _______
Sugar cookies ________
Oatmeal raisin_______
5. Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned.
a. How many peanut butter cookies does Fred have left to sell? _____

b. Explain how you know this is correct.

Answers

1 dozen= 12

12*10= 120 cookies

chocolate chip is 1/2
1/2 of 120 is 60
60 chocolate chip cookies

Peanut Butter is 1/4 (or half of 1/2)
1/2=60 so that means 1/4=30
30 PB cookies

Sugar and oatmeal raisin are both 1/8 (half of 1/4)
1/4= 30 so that means 1/8=15
15 Sugar Cookies
15 Oatmeal Raisin

3/5 of PB were burned
Original PB was 30
3/5 of 30 is 18
18 cookies were burnt
30-18=12 (which were salvaged)
12 PB cookies remain

Hope this helps

What is the value of the expression 2 + 32 ⋅ (4 − 1)?

Answers

102, first you subtract 1 from 4 so thats 3 and then you add the 32 and 2 so now all you have to do is multiply the results of 4-1 and 32+2
2 + 32 • (4 - 1)
2 + 32 • 3
2 + 96
= 98 Parenthesis
Exponents
Multiply
Divide
Addition
Subtraction

Use long division to convert -45/8 to a decimal.

A. -5.625
B. -6.252
C. 5.625
D. 6.252

Answers

The answer is A. -5.625
The answer choices are 8pie/9inches
16pie/9inches
64pie/9inches

How to round 4.253 to the nearest hundredths

Answers

4.300 would be your answer.
When you round to the hundredths there can only be two digits past the decimal point. So look to the right and since it's 3, the number stays the same

Answer: 4.25

Hope this helps :)
Please give brainliest

Solve the following proportion for v. v/8=13/11 Round your answer to the nearest tenth.

Answers

Final answer:

To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.

Explanation:

To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.

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What is the área of a circule with a radious of 3 meters use 3.14

Answers

Area is pie r^2.
Area= 3.14(3^2)
Area=3.14• 9
Area = 28.26.
Hey!

The formula to find the area of a circle using 3.14 for [tex] \pi [/tex] would be, 
[tex]A=3.14*r^2[/tex]
For this question, the area of a circle would be,
[tex]A=3.14*3^2[/tex]
Let's simplify it.
A ≈ 28.26
Since we are using an approximation, we have to use the approximation sign (≈)

Thanks!
-TetraFish

The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?

Answers

Use the pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]12^2+b^2=37^2[/tex]
[tex]144+b^2=1369[/tex]
[tex]b^2=1225[/tex]
[tex] \sqrt{b^2} = \sqrt{1225} [/tex]
[tex]b=35[/tex]
Your answer is 35mm.

Answer:

35 they are right

Step-by-step explanation:

What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3

Answers

4.8(10^9)/(1.6(10^3))

Pertinent quotient rule for similar bases with exponents...

(a^b)/(a^c)=a^(b-c)  so what you really have is:

(4.8/1.6)(10^(9-3))

3(10^6)

3X10^6

A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 students do Not bring their lunch to school?

Answers

30% of 300 is 90. how many kids didn't bring their lunch to school? 210 (if you want a explanation just ask)

I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.

Answers

the rate of change is the same as the slope...u can use the slope formula : (y2 - y1) / (x2 - x1), with 2 sets of points...or....according to ur graph, they want to know how many miles u can go for 1 hr. y/x.....60/1....so they can go 60 miles in 1 hr...60/1 is ur unit rate.
To find the unit rate, you should find the slope.  In order to find the slope of this line, use the rise/run between two points technique.  For example the rise/run between points (2,120) and (3,180) is 60/1, or 60.  This means that in one hour the family's car drives 60 miles.

Hope the explanation helped!

For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10

Answers

Let's check each of the cases to determine the solution of the problem

case A) we have

[tex]x+10=-5[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex](-5)+10=-5[/tex]

[tex]5=-5[/tex] ------> the equation is not true

therefore

The value of [tex]x=-5[/tex] is not a solution of the equation

case B) we have

[tex]-x^{2} +50=25[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]-(-5)^{2} +50=25[/tex]

[tex]-(25) +50=25[/tex]

[tex]25=25[/tex] ------> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]

case C) we have

[tex]\left|2x\right|=10[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]\left|2(-5)\right|=10[/tex]

[tex]\left|-10\right|=10[/tex]

[tex]10=10[/tex] -----> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]

case D) we have

[tex]x < 0[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]-5 < 0[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]

case E) we have

[tex]2x <10[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]2*(-5) < 10[/tex]

[tex]-10 < 10[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]

the answer is

[tex]-x^{2} +50=25[/tex]

[tex]\left|2x\right|=10[/tex]

[tex]x < 0[/tex]

[tex]2x <10[/tex]



Answer:

Step-by-step explanation:

600 is 10 times as much as

Answers

600 is 10 times as much as 6000

answer both questions for brain

Answers

19.
SA of a cylinder = (2 * π * r²) + (2 * π * r * h)
SA = (2 * π * 5²) + (2 * π * 5 * 20)
SA = (2 * π * 25) + (2 * π * 5 * 20)
SA = (2 * π * 25) + (2 * π * 5 * 20)
SA = (157) + (628)
SA = 785

The answer is 
A. 785 square meters.

20.
SA of a rectangle = 2(wl + hl + hw)
w = 15
l = 4
h = 14
SA = 2(15*4 + 14*4 + 14*15)
SA = 2(60 + 56 + 210)
SA = 2(326)
SA = 652

The answer is 
B. 652 square centimeters

Answer:

19.SA of a cylinder = (2 * π * r²) + (2 * π * r * h)SA = (2 * π * 5²) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (157) + (628)SA = 785The answer is A. 785 square meters.20.SA of a rectangle = 2(wl + hl + hw)w = 15l = 4h = 14SA = 2(15*4 + 14*4 + 14*15)SA = 2(60 + 56 + 210)SA = 2(326)SA = 652The answer is B. 652 square centimeters.

Step-by-step explanation: I did the math and this is what I got.

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

Answers

Answer:

x intercepts are (4,0) and (-9,0)

Step-by-step explanation:

The given function graphed f(x) = x² + 5x -36 and we have to find the x-intercepts.

Since x intercepts means points on x-axis which will  have y-coordinates as zero.

so f(x) = x² + 5x - 36 = 0

x² + 9x - 4x - 36 = 0

x(x+9) - 4(x-9) = 0

(x-4)=0 ⇒ x = 4

or ( x+9) = 0 ⇒ x = (-9)

Therefore, x intercepts are (4,0) and (-9,0)

Considering the definition of function quadratic and roots, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

Function quadratic

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

Definition of roots

The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

This can be solved by:

[tex]x1, x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

x-intercepts of f(x) = x² + 5x − 36

In this case you know that a=1, b= 5 and c= -36. So the roots can be determined as:

[tex]x1=\frac{-5+\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x1=\frac{-5+\sqrt{25 +144} }{2}[/tex]

[tex]x1=\frac{-5+\sqrt{169} }{2}[/tex]

[tex]x1=\frac{-5+13}{2}[/tex]

[tex]x1=\frac{8}{2}[/tex]

x1= 4

and

[tex]x2=\frac{-5-\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x2=\frac{-5-\sqrt{25 +144} }{2}[/tex]

[tex]x2=\frac{-5-\sqrt{169} }{2}[/tex]

[tex]x2=\frac{-5-13 }{2}[/tex]

[tex]x2=\frac{-18 }{2}[/tex]

x2= -9

Finally, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

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Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?

No relationship can be determined.
As the number of cookies eaten increases, the calories consumed decreases.
As the number of cookies eaten increases, the calories consumed increases.
As the number of cookies eaten decreases, the calories consumed increases.

Answers

Answer: As the number of cookies eaten increases, the calories consumed increases.


This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.

Answer:

As the number of cookies eaten increases, the calories consumed increases.

Step-by-step explanation:

As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.

Then as the number of cookies increases, the calories consumed increases.

what number is 26.8% of 67.5?
and
325% of what is 78.65?

Answers

Well this is easy, just take the percentage as an actual number and just multiply
26.8% as a number is 0.268 (if you don't know how I got this, just divide that percentage by 100, and a 1.00 is equal to a 100%) and 0.268 * 67.5 is 18.09.
(You can round that)
Now 325% as a number is 3.25 (it's bigger than 100% so its increasing)
3.25 * 78.65 is 255.6125.
1. We assume, that the number 78.65 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 78.65 is 100%, so we can write it down as 78.65=100%. 
4. We know, that x is 325% of the output value, so we can write it down as x=325%. 
5. Now we have two simple equations:
1) 78.65=100%
2) x=325%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
78.65/x=100%/325%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 325% of 78.65

78.65/x=100/325
(78.65/x)*x=(100/325)*x       - we multiply both sides of the equation by x
78.65=0.307692307692*x       - we divide both sides of the equation by (0.307692307692) to get x
78.65/0.307692307692=x 
255.6125=x 
x=255.6125

now we have: 
325% of 78.65=255.6125
1. We assume, that the number 67.5 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 67.5 is 100%, so we can write it down as 67.5=100%. 
4. We know, that x is 26.8% of the output value, so we can write it down as x=26.8%. 
5. Now we have two simple equations:
1) 67.5=100%
2) x=26.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
67.5/x=100%/26.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.8% of 67.5

67.5/x=100/26.8
(67.5/x)*x=(100/26.8)*x       - we multiply both sides of the equation by x
67.5=3.73134328358*x       - we divide both sides of the equation by (3.73134328358) to get x
67.5/3.73134328358=x 
18.09=x 
x=18.09

now we have: 
26.8% of 67.5=18.09.
Hope this helped

You fly in a helicopter for 20 minutes that goes at a speed of two 40 km/h how far did you go

Answers

well since 20 minutes is 0.33 hours then 40 * 0.33 = 13.2 km traveled. please make me brainiest answer that would help me out a lot

if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.

Answers

A rectangle is a four sided figure with four right angles but it does not have congruent sides because two of its sides are longer than the other two.

The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?


A.2/5 of the total tuba and trumpet players are tuba players.

B.The number of trumpet players is 2.5 times the number of tuba players.

C.There are 2 trumpet players for every 5 tuba players.

D.If there are a total of 100 trumpet and tuba players, 52 of them are tuba players.

Answers

B. The number of trumpet players is 2.5 times the number of tuba players
Final answer:

The ratio of trumpet players to tuba players at the high school is 5:2. There are 2 trumpet players for every 5 tuba players.

Explanation:

The ratio of trumpet players to tuba players at a high school is 5:2. This means that for every 5 trumpet players, there are 2 tuba players. Therefore, option C is correct, which states that there are 2 trumpet players for every 5 tuba players.

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The modified expression, x3(2x + 5) – 4(2x + 5), has two terms with a common factor

Answers

Yes, the common factor is (2x+5)  and the equation can be expressed as:

(x^3-4)(2x+5)
the answer is 2x + 5

the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units

Answers

24 +24 = 48

11 + 11 = 22

48 +22 = 70

 the perimeter cannot be 60 with dimensions of 24 & 11

No. It cannot be 60 when the width is 11.

How do variables help you model real-world situations? Give an example

Answers

Variables help you model real-world situations by allowing you to assign certain symbols to a variable or factor. You can easily identify what are the dependent variables and independent variables. Also, you can easily know what to vary to know how much will change to an independent variable. You can predict what most likely happen in the real world.

A refrigerator contains 11 drinks 5 lemons drinks 3 apple drinks and 3 orange drinks. Abby is first in the line for drinks. Telly is second. What is the probability that Abby will get a lemon drink and Telly will get an orange drink.

Answers

P(LO)=(5/11)(3/10)

P(LO)=3/22

What is 10 times 7 thousands

Answers

70,000 is the answer

a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?

Answers

You can solve this using the Pythagorean theorem.
The Pythagorean therorem states the a^2+b^2(the sides of the triangle adjacent to the right angle) = c^2(the hypotenuse/diagonal)
Now lets plot the information into the Theorem.
7^2+b^2=8.6^2
Solve for b
49+b^2=73.96
b^2=73.96-49
b^2=24.96
b=√(24.96)
b=4.99599839872

The Width would be 4.99599839872 ft.

Hope this helps!

Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.

Answers

3 7/12 = 43/12

2 7/9 = 25/9

both denominators must be the same to add together.

(25/9)x 12

(43/12) x 9

300/108 + 387/108 =

687/108

which in its simplest form is 229/36

and in a mixed number is 6 13/36

find lowest common denominator 9 × 12 = 108
cross multiply 9 ×7 and 12 ×7
3 63/108 + 2 84/108 => 3 147/108 => 4 39/108

Bryce collected data about the amount of time each student in history class spends studying. if the range is 1, what does this reveal about the data?

Answers

If the range is 1, we can assume that every student in that history class studies for a very similar amount of time studying, within 1 minute to be specific.

What is P(0.6 ≤ z ≤ 2.12)?

Answers

You have to look up in your Z score table.

P( 0.6≤ z≤ 2012) is the probability or area (of the bell shaped curve) between the value of      z = 2.212 & z = 0.6.

To that end for z₁ = 2.12 you find an area = 0.9830  and
                   for z₂ = 0.6 you find an area = 0.7257

Subtract those values  z₁ - z₂ = 0.9830 - 0.7257 = 0.2573

and P( 0.6≤ z≤ 2012) = 0.2573 (0r 25.73%)

The value of P(0.6 ≤ z ≤ 2.12) is, 26%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find the value of P(0.6 ≤ z ≤ 2.12).

Now, We can simplify as;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

So, From the Cumulative Standardized Normal Distribution table,

P( z ≤ 2.12) = 0.9830

P(z < 0.6) = 0.7257

Hence, We get;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257

P(0.6 ≤ z ≤ 2.12) = 0.2573

P(0.6 ≤ z ≤ 2.12) = 0.26

P(0.6 ≤ z ≤ 2.12) = 26%

Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%

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3(n+11)-5n=-2(n-12)+9

Answers

Simplifying
3(n + 11) + -5n = -2(n + -12) + 9
Reorder the terms:
3(11 + n) + -5n = -2(n + -12) + 9
(11 * 3 + n * 3) + -5n = -2(n + -12) + 9
(33 + 3n) + -5n = -2(n + -12) + 9
Combine like terms: 3n + -5n = -2n
33 + -2n = -2(n + -12) + 9
Reorder the terms:
33 + -2n = -2(-12 + n) + 9
33 + -2n = (-12 * -2 + n * -2) + 9
33 + -2n = (24 + -2n) + 9
Reorder the terms:
33 + -2n = 24 + 9 + -2n
Combine like terms: 24 + 9 = 33
33 + -2n = 33 + -2n
Add '-33' to each side of the equation.
33 + -33 + -2n = 33 + -33 + -2nCombine like terms: 33 + -33 = 0
0 + -2n = 33 + -33 + -2n
-2n = 33 + -33 + -2n
Combine like terms: 33 + -33 = 0
-2n = 0 + -2n
-2n = -2n
Add '2n' to each side of the equation.
-2n + 2n = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Final answer:

The given equation simplifies to -2n + 33 = -2n + 33, where both sides are equal, hence 'n' can be any real number. Thus the equation has infinitely many solutions.

Explanation:

This question pertains to solving a linear equation. The given equation is 3(n+11)-5n=-2(n-12)+9.

Let's solve this step by step:

First distribute 3 and -2 in the brackets (Order of Operations - BIDMAS/BODMAS). This will result in: 3n+33-5n = -2n + 24 + 9.Combine like terms on both sides of the equation to obtain: -2n + 33 = -2n + 33.Lastly you can see that both sides of the equation are equal, this means that n can be any real number.

This indicates that we have infinitely many solutions because any value of 'n' satisfies this equation.

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The ratio between the number of children (c) on a field trip and number of teachers (t) on the trips is (14)/(3). There are 70 children on the field trip. How many teachers are on the grip?

Answers

70/14=5

5*3=15

15 teachers
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