Answer:
x=4 y=-4
Step-by-step explanation:
Step: Solve5x+2y=12for x:
5x+2y=12
5x+2y+−2y=12+−2y(Add -2y to both sides)
5x/5=−2y+12/5
x= −2/5y+12/5
−2/5y+12/5 for x in5x−2y=28
5(−2/5y+12/5)−2y=28
−4y+12=28(Simplify both sides of the equation)
−4y+12+−12=28+−12(Add -12 to both sides)
−4y=16
−4y/−4=16/−4
(Divide both sides by -4)
y=−4
Substitute −4 for y in x=−2/5y+12/5
x= −2/5y+12/5
x=−2/5(−4)+12/5
x=4
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Answer:
1. $0.24
2. 89.2 miles
Step-by-step explanation:
To get the unit price, divide the total price by the amount that was purchased.
1. 3.12/13 = $0.24
For the second one, get the distance traveled per hour first then multiply by 8.
22.3 / 2 = 11.15
11.15 x 8 = 89.2
Rewrite
barrel
as a unit rate
hour
A barrel/hour
B. barrels/hour
c. 10 barrels/hour
barrel/hour
Answer:
C
Step-by-step explanation:
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find the cube root of 32768 by prime factorization method
Answer:
2^3*3
Step-by-step explanation:
What is the slope of the line?
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -1)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-3+1}{-4-2}[/tex]Add/Subtract: [tex]m=\frac{-2}{-6}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]It is possible to construct an equilateral triangle using only a straightedge and a compass.
Answer:
yes it is possible
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
can anyone help me pls will mark branliest
Answer:
rock climb costs $7
Step-by-step explanation:
2 laser tags +3 rock climb = $31 ( 1 )
4 laser tags + 1 rock climb = $27 (2)
multipy (1) by -2 and add the equations
-4 laser tags -6 rock climb = $ -62
4 laser tags + 1 rock climb = $27
-6 rock climb +1 rock climb = -62+27
-5 rock climb = -35 divide both sides by -5
1 rock climb = $7
I will give u brainliest please help
Answer: Pablo: 1:5 Sam: 16.50
Step by Step Explination:
The first side of a triangle is scm long.
The second side is twice as long as the first.
The third side is 5 cm longer than the second side.
a The perimeter of the triangle is 1 metre.
Write an equation to show this.
b Solve the equation.
c Find the length of the longest side of the triangle.
Answer:
First side is 19, second side is 38 and third side, the longest is 43.
Step-by-step explanation:
Let's call the first side a.
The second side, being twice as long as the first, is 2a.
The third side is 2a+5.
The equation is:
a+2a+2a+5=100, since 1 metre is 100 centimetre.
5a+5=100
5a=95
a=19
First side is 19, second side is 38 and third side, the longest is 43.
An equation is formed of two equal expressions. The length of the longest side of the triangle is 43 cm.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given to us that the first side of a triangle is x cm long, The second side is twice as long as the first, The third side is 5 cm longer than the second side and The perimeter of the triangle is 1 metre. Therefore,
The length of the first side will be x cms.The length of the second side will be twice x, 2x.The third side is 5 cm longer than the second side, 2x+5.Since the perimeter of the triangle is 1 meter which is equal to 100 cm. And the perimeter is the sum of all the sides of a triangle. The perimeter can be written as,
[tex]x+(2x)+(2x+5) = 100\\\\x+2x+2x+5=100\\\\5x+5=100\\\\5x=95\\\\x=19[/tex]
Thus, the value of x is 19.
A.) The equation that represents this condition is x+2x+2x+5=100.
B.) The length of the longest side of the triangle is 2x+5, where the value of x is 19. Therefore, the length of the longest side can be written as,
[tex]\text{Length of the third side} =2x+5 =2(19)+5=38+5=43\rm\ cms[/tex]
Thus, the length of the longest side of the triangle is 43 cm.
Learn more about Equation:
https://brainly.com/question/2263981
please help! asap! xoxo
Answer: the answer is 6
Step-by-step explanation:
Solve the system of linear equations.
−x+2y=7
x−2y=7
8 cans of corn cost $16. What is the cost per can?
Answer:
Step-by-step explanation:
$16 / 8 cans = $2 per can
help please just look at the picture it has the question and answer choices
C is ur answer............
Need help asap please!!
Answer:
A) 40 + d
B) 45 days
Step-by-step explanation:
A)
total cost = (cost of the air conditioner itself) + (money charged per day)*(days)
cost of air conditioner itself = $40
money charged per day = $1
days = d
40 + 1*d
= 40 + d
B)
total cost = 40 + d
total cost = $85
85 = 40 + d
45 = d
Time used the air conditioner for 45 days.
The point (-3, 15) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new
point?
(-12,10)
® (-12,5)
(6,10)
D (6,5)
Answer:
This would be D. (6, 5)
Step-by-step explanation:
When moving 9 to the right, you take -3 and add 9 to it, which gives you 6.
Do the same thing with 15, but subtract 10 from it, since you are going to the left. This gives you 5.
Therefore, your answer should be (6, 5)
-3 + 9 = 6
15 + 10 = 5
Conversion Measurement *
(10 Points)
Mario drew a line on the wall to measure his
height, but the measuring tape he used was
marked only in metric units. If he measured his
height to be 127.5 centimeters, how tall is
Mario in feet and inches?
(1 centimeter = 0.4 inch)
51 feet
5 feet 1 inch
Answer:
The answer is 4 feet and 3 inches.
Step-by-step explanation:
Need help once again
Question is in the screenshot
No spam and no useless answers for the points
Please show your work
It means a lot to me :)
Hi there!
[tex]\large\boxed{\text{ She is incorrect.}}[/tex]
The format of a logarithmic equation is:
[tex]a^{b} = c\\\\log_{a}c = b[/tex]
In this instance:
a = e
b = 3x
c = 7
Rewrite as the logarithmic equation:
[tex]log_{e}7 = 3x[/tex]
Solve. Evaluate [tex]log_{e}7[/tex] and use algebra to find x:
[tex]1.946 = 3x\\\\x = 0.649[/tex]
13 identically sized pieces of timber are
x
cm long when put together. How long is each individual piece?
Answer:
Step-by-step explanation:
(x/13) cm
Answer: x/13 = y.
Step-by-step explanation: Let x represent the total length of the timber. Then, 13 will represent the number of pieces it will be divided into. Finally, y represents the length of each individual size.
Can anyone tell me theorem of Parallelogram*#
Answer:
Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Step-by-step explanation:
Hope this helps!!!
Show that the cosine law simplifies to the Pythagorean theorem when the contained angle between the two known sides is 90°.
Answer:
See Below.
Step-by-step explanation:
We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.
The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
Where a and b are the two known sides, and C is the angle between them.
If C is 90° then we will have:
[tex]c^2=a^2+b^2-2ab\cos(90 ^\circ)[/tex]
Recall that the cos(90°)=0. Hence:
[tex]c^2=a^2+b^2-2ab(0)[/tex]
Simplify:
[tex]c^2=a^2+b^2[/tex]
So, we acquire the Pythagorean Theorem as desired.
Simplify the expression 5x[(3.14+4.16)x9+2]
WILL GIVE BRAINLIEST! In any boxplot, what percent of the data is above the 3rd quartile?
Please help ! !!!!!!!!
Answer:
c, 50
Step-by-step explanation:
120-24= 96
Since we are measuring the size of one of the halves, you have to split that number in half, so 96 ÷ 2= 48.
48 rounds up to 50, so 50 is the answer
Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.
Pay $0.24 for each banana OR pay $1.99 per pound of bananas
Answer:
0.24 for each banana, it seems cheaper.
Step-by-step explanation:
HELLLPPPPPPPPPPPPPOOOOPPPPPOP
Answer:
150° I guess I'm not really sure
Answer:
150
Step-by-step explanation:
These angles will always equal to 360
s = 30
1 = 150
30 + 30 + 150 + 150 = 360
Have a good day! I hope this helps!
Solve step by step! Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?
Answer:
48 plants
Step-by-step explanation:
Segments DE, EF, and DF are midsegments of ABC. Find the length of the indicated segment
AE=
Answer: 2
Step-by-step explanation:
I think that is the answer :)
Please help me with the answer!! There is the picture of the problem^
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
f(x) = √2x-4
f(20) = √2(20)-4
f(20) = √40-4
f(20) = √36
f(20) = 6
Brainliest to correct answer. Please help!!! Last year, Trevor gave $5,462 to his local charity, which he calculated as 22.5% of his yearly salary. How much money does Trevor make in a year?
Answer:
6 690.95 US$
Step-by-step explanation: