Answer:
x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15 therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/33solve equation
x^2+6x+1=0
give your answer to 2 decimal places
Step-by-step explanation:
x² + 6x + 1 = 0
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation,
x² + 6x + 1 = 0
Make the whole square as
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".
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Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?
Translate each phrase into an algebraic inequality:
Fiona works part time for a legal firm. She can work a maximum of 30 hours
per week.
Let hours = x
She can work a maximum of 30 hours so x can be any number from 30 or below.
The inequality would be: X <= 30
Answer:
Let the maximum time be x
She can work 30 hrs or below ( maximum of 30 hrs)
Therefore, the equation is
[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]
write the ratio in simplest form 36 cats to 16 dogs HELP QUICK PLS
Answer: 9 cats:4 dogs
Step-by-step explanation:
Divide each to the simplest form
Answer:
9 to 4
Step-by-step explanation:
How would you use distrubutive property for the eqaution 3(x+y)
ANSWER FAST PLSSSSS WORTH 50 BRAINLY POINTS
Answer:
3(x+y)
=3x+3y
Here he have to multiply 3 with x and y.
Answer:
please mark me brainliest and follow me my friend.
CAN SOMEONE FIND "x" FOR ME PLZ :/
Answer:
9°
Explanation:
So, since the arrow is pointing to a RIGHT angle, you have to know the right angle's degree is 90° so set up an equation.
11x - 9 = 90
Now you solve it. Here's a step by step:
11x - 9 = 90
Add nine to nine and ninety. Since the nine in this equation is negative, it'll cancel it out. Now here's what you have left to solve:
11x = 99
Divide -11 from 11 and 99.
x = 9
If you feel like you're wrong, fill it in!
11(9) - 9 = 90
11 x 9 = 99
99 - 9 = 90
There you go!
There are 12 boxes of books to put on shelves can you spell it has 31 bucks each shelf holds 18 books Kevin estimates he will need 20 shells for all the books
Can y’all plz help me plz
Answer:
x= 68
Step-by-step explanation:
do u need the work 4 it?
Answer:
32
Step-by-step explanation:
find the value of sin 0 in each of the following figures.
Answer:
sinθ = [tex]\frac{8}{10}[/tex]
Step-by-step explanation:
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex]
Answer:
sin theta=p/h
=BC/AC
=8cm/10cm
=4cm/5cm
Hope it helps you.
it was 55 degrees F outside until the temperature increased 20 degrees F. which number is the additive inverse of the temperature increase
Answer:
55-20
Step-by-step explanation:
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
Carrie Crop Growers square garden has a side length of 12 feet. What is the area of the garden? What is the perimeter?
Answer:
Area = 144 Perimeter = 48
Step-by-step explanation:
if the garden is square and the length is 12 all you do is 12 * 12 for the area and 12+12+12+12 for the perimeter.
Which of the following situations can be described by the equation 2x – 4 = 10?
Step-by-step explanation:
Add 44 to both sides.
2x=10+4
2x=10+4
2 Simplify 10+410+4 to 1414.
2x=14
2x=14
3 Divide both sides by 22.
x=\frac{14}{2}
x=
2
14
4 Simplify \frac{14}{2}
2
14
to 77.
x=7
x=7
Done
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag.
Answer:
It's the first one
Step-by-step explanation:
To find the price per pound, you have to divide 4.50 by 5, which you then compare to $0.80
Answer:
its a in edg
Step-by-step explanation:
just took the test peace out home fry
help???????
dhdjdjmsjd
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
Rewrite in simplest terms 3 (w-9w+8)-10
Answer:
-24w + 14
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
3(w - 9w + 8) - 10
Step 2: Simplify
Combine like terms: 3(-8w + 8) - 10Distribute 3: -24w + 24 - 10Combine like terms: -24w + 14Fill in the blanks needs to be done by 9:30!!
Answer:
1. Straight line
2. mx+b
3. slope , y intercept
4. dont know sorry
Step-by-step explanation:
Someone please help me with this question
It would be in the order it is
I really need help. I don’t understand
Answer:
ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.
As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.
If you post the graph ,I will give you full answer
Mr. Foote needs exactly 6 folders for each fourth-grade student at Hoover Elementary School. If he bought 726 folders, to how many students can he supply folders? PLEASE HELP I HAVE 5 MINUTES TO ANSWER
Answer:
60try to get it done before the end of this week
HELP ILL GIVE BRAINLIEST
An angle measures 158º more than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answer: 158 and 28
Step-by-step explanation:
Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.
The measures of two sides of a triangle are given {17x-7} and {3x^2+5}. The perimeter of the triangle is 13x^2-14x+12. Find the measures of the third side.
8x7+4-10SOMEONE HELP PLS AND THANK U:)
Answer:
50
Step-by-step explanation:
Answer:
8x⁷-6?
Step-by-step explanation:
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. For how many years did he save this money?
Answer:
7 years.
Step-by-step explanation:
To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.
The number of years that he saves this money will be 7 years.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. Then the number of years is calculated as,
$280 = ($2,000 x 2 x T) / 100
$28,000 = $4,000 x T
T = $28,000 / $4,000
T = 7 years
The number of years that he saves this money will be 7 years.
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Three times two more than some number :
Answer:
5
Step-by-step explanation:
Answer:
6+x
Step-by-step explanation:
3(2)+x
6+x
can you. pls. solve for X?
Answer:
x = 173
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
90+30=120
180-120=60
x+67=60
x=-7
Which ratio does NOT represent this situation?
1 point
o
3:12
9:3
8:2
1:3
Answer:
1:3
Step-by-step explanation:
3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles. 1:3 wouldn't work because it is not the right ratio.
A factory uses 1/8 of a barrel of raisins in each natch of granola bars. Yesterday, the factory used 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify you answer and state it as a fraction or as a whole or mixed number.
Question:
A factory uses 1/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
Answer:
The factory made 2 batches of granola yesterday.
Step-by-step explanation:
Our ratio from the question is given as:
1/8 barrel of raisins = 1 batch of granola
Hence: 1/4 barrel of raisins = x batches of granola.
Cross Multiply
1/8 × x = 1/4 × 1
x = 1/4 ÷ 1/8
x = 1/4 × 8/1
x = 2 batches of granola
Therefore, the factory made 2 batches of granola yesterday
A survey asks the question: "Are you in favor of holding the Olympics in
Toronto, even though your taxes may increase?
A.question wording
B.undercoverage
C.response
D.nonresponse
E.voluntary response
Answer: Question wording
Step-by-step explanation i don’t know how but I just saw the answer to it and wanted to help you guys out.
5x + 16= -3x please hurry
Answer:
x=-2
Step-by-step explanation:
Answer:
x = - 2
Step-by-step explanation:
5x + 16 = - 3x ( add 3x to both sides )
8x + 16 = 0 ( subtract 16 from both sides )
8x = - 16 ( divide both sides by 8 )
x = - 2