Answer:
Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
Step-by-step explanation:
We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7
let:
[tex]3x-2y=12--eq(1)\\x+3y=-7 --eq(2)[/tex]
Finding value of x from equation 2 and putting in eq(1)
[tex]From \ eq(2)\\x+3y=-7\\x=-7-3y[/tex]
Putting value of x in eq(1)
[tex]3x-2y=12\\Put \ x=-7-3y\\3(-7-3y)-2y=12\\Solving\\-21-9y-2y=12\\-11y=12+21\\-11y=33\\y=\frac{33}{-11}\\y=-3[/tex]
So, we get y=-3
Now put value of y in equation 2 to find value of x
[tex]x+3y=-7\\x+3(-3)=-7\\x-9=-7\\x=-7+9\\x=2[/tex]
So, we get value of x =2
So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
Help plz:))) I’ll mark you BRAINLIEST
Answer:
Given - A triangle UTS
angle U = 43°
angle T = 103°
As we know that the side opposite to the largest angle is longest. angle T is longer so side opposite to it Us is longer
US , UT , TS
If AABC ADEC,
LB= 44° and LE = 4x
please help
Answer:
x = 11°
Step-by-step explanation:
ΔABC ≅ Δ DEC
∠B ≅ ∠E
44° = 4x
x = 11°
6) What is the correct unit for the following measurement?
Fred wants to know how much his dog weighs. (mass)
gm/cm3
cubic centimeters (cm3)
grams (g)
liters (L)
meters (m)
Celsius (°C)
Answer:
Grams
Step-by-step explanation:
Because we want to know the mass
Answer: grams (g)
Step-by-step explanation:
apple tarts sell for 3 for$5.00. How much will 8 tarts cost?
Answer:
$13.30Step-by-step explanation:
Step one:
given
We are told that 3 apples seels for $5
let us first find the selling price of 1 apple
an apple = 5/3
=$1.6
Required
Step two:
The selling price of 8 apples
if 1 apple sells for $1.6
then 8 apples will sell for
=8*1.6
=$13.30
Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What is the rate at which the distance between the planes is changing
Answer:
the rate at which the distance between the planes is changing is 825 each hour
Step-by-step explanation:
The computation of the rate at which the distance between the planes is changing is shown below
= Travelling one plane + travelling another plane
= 450 mph + 375 mph
= 825 mi each hour
Therefore the rate at which the distance between the planes is changing is 825 each hour
We simply applied the above formula so that the correct value could come
And, the same is to be considered
A car travels at the rate of 60 miles per hour for 4 hours.
Answer:
the answer is a u s 4
Step-by-step explanation:
that the answer right there
Divide. Enter your answers
463 : 60
The quotient is
with a remainder of
Answer:
7.71 is the answer hope you get it
The division of 463 by 60 yields a quotient of 7 with a remainder of 43.
When we divide 463 by 60, we find:
60 | 463 | 7
420
- ______
43
So, 463 ÷ 60 = 7 with a remainder of 43
The remainder is 43, which indicates that after dividing 463 by 60 as much as possible, there are 43 units left over.
So, the division of 463 by 60 yields a quotient of 7 with a remainder of 43.
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What is the sign of the product of (-1/5) (-2/3) (-1/9) (-4/7)
Answer:
Step-by-step explanation:
4 minuses give a plus
8/945
2(3y+5)+y=3 what are the steps to solving this?
Answer:
Step-by-step explanation: Simplifying
2(3y + -5) + -2 = 3(y + -3)
Reorder the terms:
2(-5 + 3y) + -2 = 3(y + -3)
(-5 * 2 + 3y * 2) + -2 = 3(y + -3)
(-10 + 6y) + -2 = 3(y + -3)
Reorder the terms:
-10 + -2 + 6y = 3(y + -3)
Combine like terms: -10 + -2 = -12
-12 + 6y = 3(y + -3)
Reorder the terms:
-12 + 6y = 3(-3 + y)
-12 + 6y = (-3 * 3 + y * 3)
-12 + 6y = (-9 + 3y)
Solving
-12 + 6y = -9 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-12 + 6y + -3y = -9 + 3y + -3y
Combine like terms: 6y + -3y = 3y
-12 + 3y = -9 + 3y + -3y
Combine like terms: 3y + -3y = 0
-12 + 3y = -9 + 0
-12 + 3y = -9
Add '12' to each side of the equation.
-12 + 12 + 3y = -9 + 12
Combine like terms: -12 + 12 = 0
0 + 3y = -9 + 12
3y = -9 + 12
Combine like terms: -9 + 12 = 3
3y = 3
Divide each side by '3'.
y = 1
Simplifying
y = 1
the question is below
Answer:
89-6^2 = 53 so the third side is
[tex] \sqrt{53} [/tex]
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = ([tex]\sqrt{89}[/tex] )² , that is
x² + 36 = 89 ( subtract 36 from both sides )
x² = 53 ( take the square root of both sides )
x = [tex]\sqrt{53}[/tex] ← length of third side
Help if you know please
Answer:
D, F, C
I hope this helps you out! :D
Answer:
A and E
Step-by-step explanation:
I have attached the graph of the problem.
what is the percent increase from 30 to 57
Answer:
90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
30 is the old value and 57 is the new value. In this case we have a positive change (increase) of 90 percent because the new value is greater than the old value.
Select the four points that appear on the line with the given slope and y-intercept
Slope: 2/3 y-intercept = -9
A- (2,3)
B- (0,-9)
C- (1,9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Pan Kowalski wpłacił na lokatę terminową –na 2 lata , kwotę 6000zł, na oprocentowanie 6%. Podatek od zysku z oszczędności wynosi 19%. Ile wyniesie rzeczywisty zysk pana Nowaka z tej lokaty terminowej , jeżeli:
a) kapitalizacja odsetek będzie roczna?
b) kapitalizacja odsetek będzie kwartalna
b) bez kapitalizacji odsetek.
Answer:
Hesdfhjwebsdfjwefb
Step-by-step explanation:
sdfjhwefsjhbsdvdbhje
Write your answer anywhere in the open area of each question
1)
The tape diagram models the lengths of two snowboarding trails. The beginner trail is
200 meters long. How long is the expert trail?
Beginner Trail
Expert Trail
The expert trail is
meters long
2)
The length of the expert trail is 800 meters. We can find our answer by using given tape diagram and simple mathematical calculations.
What is tape diagram?
A tape diagram is a visual model resembling a piece of tape, that is used to assist with the calculations of ratios and addition, subtraction and commonly multiplication.
Here,
Length of the Beginner trail is 200 meters
And also expert trail is 4 times to Beginner trail.
So, Expert trail = 4 * Length of beginner trail.
Expert trail = 4* 200
= 800 meters.
Hence, we get the answer.
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help?!!!!!!!!!!!!!!!
Answer:
B. 8, 000
Step-by-step explanation:
the total of people surveyed is 7+33+56+42+12= 150
4 or more are
12 out of 150 or
x out of 100,000
x=12*100,000/150
x= 8000
HELP ME PLEASE!!!!!!
Answer:
k;p
Step-by-step explanation:
PLEASE HURRY WILL GIVE BRAINLIEST if you show your work!
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Step-by-step explanation:
Which statement is true about the graph of the equation y=csc^-1(x)
Answer:
A is the answer when graphed the asym-ptote is y=0 so the the horizontal asym-ptote is y=0
Step-by-step explanation:
Answer:
A. There is a horizontal asymptote at y=0
Step-by-step explanation:
Write the equation of a line, in general form, that has an slope of zero and a y-intercept of (0,4).
Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
Identify the function shown in this graph
A. y = 3x -2
B. y = -3x -2
C. y = 3x +2
D. y = 1/3x -2
Please help bro
Answer:
its a y=3x-2
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What was the name of the savings plan on the earnings statement?
O
402K
O Gross Pay
401K
O None of the above
68=u-11
i need help lol pls
Answer:
u=79
Step-by-step explanation:
68=u-11
add 11 to 68
u=79
You have a net lease for $350 per month. You are responsible for the taxes, which are $6,000 per year. What is your monthly rent?
a) $790
b) $810
c) $830
d) $850
Answer: 850
Step-by-step explanation: 6,000 divided by 12 = 500 + 350 = 850
The monthly rent is $850.
The correct option is d.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
You have a net lease for $350 per month.
You are responsible for the taxes, which are $6,000 per year.
The monthly rent,
= Net lease + 6000/12
= 350 + 500
= $850
Therefore, $850 is the monthly rent.
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Can you prove that the quadrilateral is a parallelogram based on the information given?
Answer:
No
Step-by-step explanation:
The photo provided doesn't necessarily prove that the diagonals bisect each other. It could be proven as a quadrilateral is the other line inside the shape had lines showing this as well.
Answer:the answer is no
Step-by-step explanation:
it dosent give enough info
solve the quadratic by factoring. show your work. x^2+8=-6x
Answer:
Step-by-step explanation:
x^2 + 6x + 8 = 0
(x + 4)(x + 2) = 0
x + 4 = 0
x = -4
x + 2 = 0
x = -2
The solution of quadratic equation by factoring is -4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
x^2+8=-6x
Now,
To solve the quadratic by factoring, we need to first write it in the standard form: x2+6x+8=0
Then we need to find two numbers that multiply to 8 and add to 6. These are 2 and 4. So we can write the quadratic as: (x+2)(x+4)=0
To find the solutions, we need to set each factor equal to zero and solve for x: x+2=0⟹x=−2
x+4=0⟹x=−4
So the solutions are x=−2
and x=−4
Therefore, by quadratic equations the answer will be -4.
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Need help please it’s important!!!
What is the selling price for a $45 pair of shoes with a 15% markup?
I NEED HELP
Answer:
51.75
Step-by-step explanation:
Please mark brainliest.
Answer:
15 percent of 45 dollars is sixs dollars and seventy five cents so add that to the 45 dollars and the selling price is now $51.75
Step-by-step explanation:
im on one more brainliest pls mark me
how much do cheese cost?
Answer:
1.27 cents I bought chess today I drove with my car
Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3681 dollars to drill a well regardless of its depth. Company B charges 1168 dollars plus 10 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 260 feet and a standard deviation of 40 feet. Find the probability that Company B would charge more than Company A to drill a well.
Answer:
Mean costing = $3,768
Step-by-step explanation:
Given:
Mean A(x) = 260
Rate = $10 per feet
Fixed charge = $1,168
Computation:
Assume;
depth = x ft
So,
Cost of company B = 10x + 1,168
So,
Mean costing = 10A(x) + 1,168
Mean costing = 10(260) + 1,168
Mean costing = 2,600 + 1,168
Mean costing = $3,768
Using the normal probability distribution concept, the probability that Company B would charge more than Company A to drill a well is 0.4146
Company A :
Cost = 3681 - - - - (1)Company B :
Cost = 1168 + 10x - - - - (2)Equating the cost ;
3681 = 1168 + 10x
3681 - 1168 = 10x
2513 = 10x
x = 251.3
Company B will charge more than Company A when depth exceeds 251.3 feets
Using the Z - score relation :
Z = (x - mean) / standard deviationP(X > 251.3) = (251.3 - 260) / 40
P(X > 251.3) = -0.2175
Using the normal distribution table :
P(Z > -0.2157) = 1 - P(Z < -0.2157)
P(Z > 0.2157) = 1 - 0.58539
P(Z > 0.2157) = 0.4146
Hence, the probability that Company B would charge more than Company A to drill a well is 0.4146
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