Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
Find the missing length of the triangle.
Answer:
89
Step-by-step explanation:
Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]
Hypotenuse = sqrt[ (39)2 + (80)2 ]
Hypotenuse = sqrt[ 1521 + 6400 ]
Hypotenuse = sqrt[ 7921 ]
Hypotenuse = 89
Answer:
45 is your answer c=45 13
PLEEEEEEEEAAAAAAAAAAAASEEEEEEE HELP
What is 1/7 as a decimal rounded to the nearest 100th
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
calculate the value of a
25°
Step-by-step explanation:Angles in a circle add up to 360°
5a + (a + 60) + (2a + 100) = 360
5a + 3a + 160 = 360
5a + 3a = 8a
8a + 160 = 360
Make a the subject
8a + 160 = 360
8a = 200
200 ÷ 8 = 25°
Have a great day <3
Starbucks customers are complaining that a small cup of coffee at a local Starbucks coffee shop does not contain as much coffee as it should. On average, Starbucks claims that a small cup of coffee contains 360 grams of coffee. The customers decide to order 20 cups of coffee at random times; on average their cups contained 356 grams, and a standard deviation of 9 grams.
Required:
What is the null hypothesis?
how many people in the town of summit have jobs if there are 9,255 people in the town and 1/3 of them are employed? simplify the fraction if possible
Answer:
divide 9,255 divide 1/3 and you will get your answer hope this helps :)))
Step-by-step explanation:
In the town of Summit, 3,085 people have jobs. If there are 9,255 people in the town and 1/3 of them are employed.
To find the number of people in the town of Summit who have jobs, we can multiply the total population by the fraction representing the employed individuals.
Total population = 9,255 people
Fraction employed = 1/3
Number of people employed = Total population * Fraction employed
Number of people employed = 9,255 * (1/3)
To simplify the fraction (1/3), we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.
Dividing 1 and 3 by 1, we get:
1/1 = 1
3/1 = 3
So, the simplified fraction is 1/3.
Continuing the calculation:
Number of people employed = 9,255 * (1/3)
Number of people employed = 9,255 / 3
Number of people employed = 3,085
Therefore, in the town of Summit, 3,085 people have jobs.
To know more about employed click here :
https://brainly.com/question/29154157
#SPJ2
What equation can be used to find the earnings
Ted can change an advertisement on a billboard in 5hr. Marie can do the same job in 2hr. How long would it take them if they worked together? Write your answer as a fraction or mixed number, if necessary.
Answer:
Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.
Step-by-step explanation:
Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:
Ted 1/5 in 1 hour
Marie 1/2 in 1 hour
1/5 + 1/2 = X
5X + 2X = 10
7X = 10
X = 10/7
X = 1 3/7
60/7 x 3 = 25.71
60 x 0.71 = 42.6
So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.
which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
a
asta e raspunsul
gyyy
Write a story problem for the equation 7z+4=32
Answer:
z=4
Step-by-step explanation:
7z+4=34
7x=32-4
7z=28
7z/7=28/7
z=4
(90 POINTS SHOW YOUR WORK!!!) Determine the equation of the line that goes through points (-2, 1) and (1, -1)
Answer:
we have
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-1)/(x--2)=(-1-1)/(1--2)
(y-1)/(x+2)=(-2)/3
3(y-1)=(-2(x+2))
3y-3=-2x-4
2x+3y-3+4=0
2x+3y+1=0 is a required equation
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
4y + 3 > 23 subtract 3 from both sides
4y > 20 divide both sides by 4
y > 5
-2y > -2 divide both sides by -2 (the order changes)
y < 1
(-oo, 1) ∪ (5, oo)
Upvote
SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME
need help very badly i do not understand geometry lol
Answer:
Step-by-step explanation:
sin 63 = JK/8
sin = opposite/hypotenuse
answer is C
A certain disease has an incidence rate of 0.7%. If the false negative rate is 5% and the false positive rate is
3%, compute the probability that a person who tests positive actually has the disease.
Give your answer accurate to at least 3 decimal places
6.62 X 0.7= 2.68 X 1.35
Answer:
3.934 = 3.634; hope this helps........
Step-by-step explanation:
Solve:
Multiply the numbers
5.62 ⋅ 0.7 = 2.68 ⋅ 1.35
3.934 = 2.68 ⋅ 1.35
Multiply the numbers
3.934 = 2.68 ⋅ 1.35
3.934 = 3.618
Result
3.934 = 3.618
The input is a contradiction: it has no solutions
Charmaine runs each lap in 5 minutes. She will run less than 35 minutes today. What are the possible numbers of laps she will run today?
Answer:
7
Step-by-step explanation:
it is just 35÷5=7 and if she runs every 5 minutes she runs 7 laps.
Solve x - 9 = 3 + y for y.
Step-by-step explanation:
[tex]x - 9 - 3 = y \\ y = x - 12[/tex]
The given equation solved for y as x-12.
The given equation is x-9=3+y.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
x-9=3+y
⇒y=x-9-3
⇒y=x-12
Therefore, the given equation solved for y as x-12.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
I need help please in my homework 100 point question
Answer:
5,000? what does it want me to find
Step-by-step explanation:
Which is proportional
Answer:
B
Step-by-step explanation:
It goes up the same amount ($0.75) for every bar you get.
Which proportion can be used to find 20% of 17?
Answer:
8.5
Step-by-step explanation:
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 17 ÷ 0.2.
X = 8.5
So 20% of 17 is 8.5.
you have 4 ice cubes in your cup of lemonade. each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height if 2 4/5 cm. what is the total volume of all ice cubes? explain how you used math to come to your decision.
Answer:
how is this Spanish
Step-by-step explanation:
Write an equation of the line that passes through the points (1, 2) and (4, 8)
Answer:
y = 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)
m = [tex]\frac{8-2}{4-1}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2 )
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation of line
Answer:
2x-y=0 / y=2x
Step-by-step explanation:
6x-3y=0, 2x-y=0
Is(x+6)>8 is equation (with variable) give reason for your answer
Answer:
it's a non equation if x=2 is given then we get a proper line of the equation bur x is greater than 2 the we find a region that go far from origin
A fraction is shown. 8/16 Which expression is equivalent to this fraction?
Answer:
1/2
Step-by-step explanation:
A tank is draining at a constant rate of 5 gallons of water in 4 hours how many gallons will drain in 15 hours.
need help can't figure it out
Answer:
415
Step-by-step explanation:
Triangle Inequalities part 2 help please
Answer:
The perimeter can not be 26 inches
Step-by-step explanation:
Given
[tex]Side\ 1 =19[/tex]
[tex]Side\ 2 =16[/tex]
Required
Is a perimeter of 26 possible?
First, calculate the possible side 3
[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]
[tex]Side\ 3 = 26 - 16 - 19[/tex]
[tex]Side\ 3 = -9[/tex]
The side length can not be negative.
So, the perimeter can not 26 inches
6.007 +0.06 + 946 + 3.1 6.007 +0.06 + 946 +3.1=(Type an integer or a decimal)
The cashier determines that the customer's groceries total $156.75. If the sales tax is four percent, how much will the customer have to pay for their groceries, including tax?
Divide the given polynomial by the given monomial.
Answer:
Here are the answers. Need to have 20 characters for answer. Phew
