Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Answer:
(x, y) = (-6, 3)
Step-by-step explanation:
Maybe you want to solve ...
y = -2x -92x +3y = -3Use the first equation to substitute for y in the second:
2x +3(-2x -9) = -3
2x -6x -27 = -3
-4x = 24 . . . . . . . . . add 27, simplify
x = -6 . . . . . . . . . . . divide by -4
y = -2(-6) -9 = 12 -9 = 3
The solution is (x, y) = (-6, 3).
What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D
Answer:
The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).
Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.
A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).
B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).
C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).
D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.
[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]
[tex]\hrulefill[/tex]
To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.
[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]
To find how far the car will travel in a certain time, just multiply the speed by the time.
[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]
[tex]\large\boxed{3\ \text{km}}[/tex]
I need help I’ll give you points it’s urgent
Answer:
Step-by-step explanation:
Area: 28.26
Circumference: 12.56
For what x values is the function positive? Select all that apply
Answer:
Option (A)
Option (D)
Step-by-step explanation:
From the graph attached,
Values of function have been plotted on y-axis for every input value of 'x' on x-axis.
Graph clearly states that the function is positive (positive y-values or y > 0) in the two intervals,
-5 < x < 0 and 3.5 < x < 5
Therefore, option (A) and Option (D) will be the correct options.
What value of x makes this equation true
X/6-7=4
What is the value of x?
Answer:
35 degrees
Step-by-step explanation:
180-95=85
180-(85+60)=35
Solve using the multiplication principle. -80>16x
Answer:
-5 > x
Step-by-step explanation:
-80>16x
Divide each side by 16
-80/16>16x/16
-5 > x
On a test, Avery lost 5
points for each of the 6
questions she got wrong
but earned 10 points for
answering the bonus
question correctly. What
integer represents her
score in relation to a
perfect score of 100?
Answer:
bruhhhhhhhhhhhhhhhhhhhhhhhhhh
A manufacturing company uses three measuring tools to
measure lengths. The tools are tested using a standard
unit exactly 7 cm long. The results are as follows.
a. Which tool gives the most precise measurement?
Precision is how detailed a measurement is.
7.033 has 3 digits after the decimal point
6.91 has 2 digits after the decimal point
7.1 has a single digit after the decimal point.
Since 7.033 has the most digits after the decimal point, it is more precise than the others.
Describe and correct the error in finding the value of the power.
8 to 3power= 8x3 = 24
The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.
The answer should be 8 to 3 power =____=____.
Answer:
regular number; base
Step-by-step explanation:
Answer:
1. Multiplication
2. 8
3. 8^3=512
An assembly line has two inspectors . The probability that the first inspector will miss a defective item is 0.09. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.08. What’s the probability that a defective item will pass by both inspectors?
Answer:
0.072
Step-by-step explanation:
0.09 × 0.08
Here's the diagram/ explanation
Determine the largest integer value of x in the solution of the following inequality. -3x +1> 7
Answer:
x<1/3
Step-by-step explanation:
A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
The cost of the dryer is $475 and the cost of the washer is $382.
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 =.
Given that, a washer and a dryer cost $857 combined.
Let the cost of dryer be x.
The washer costs $93 less than the dryer.
Then, the cost of washer will be x-93
So, x+x-93=857
2x=857+93
2x=950
x=$475
x-93=475-93
= $382
Hence, the cost of the dryer is $475.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Write five hundred twenty-five thousandths as a decimal number
Please help
Answer:
.525
Step-by-step explanation:
Five hundred twenty-five thousandths is a decimal number will be 0.525.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-
Five hundred twenty-five thousandths = 0.525
Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.
To know more about decimal numbers follow
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what are the steps and answer for - 5n - 2 = 38
Answer:
n = -8
Step-by-step explanation:
[tex]- 5n - 2 = 38[/tex]
Collect like terms and simplify
[tex]-5n = 38+2\\\\-5n = 40[/tex]
Divide both sides of the equation by -5
[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]
Simplify
[tex]n = -8[/tex]
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
Please answer this!
Who invented maths?
Answer:
ancient greek invented math
I need Help Asap Please Please
Answer:
C
Step-by-step explanation:
Subtract.
-4 - 2
Plz help:((
Answer:
The answer is -4-2 = -6
Answer:
-6 is the answer hope that helps
What is the ordered pair for Point A?
Answer:
(3, 0)
Step-by-step explanation:
The 1st number in an ordered pair is the x-value for the x-axls.
The 2nd number in an ordered pair is the y-value for the y-axis.
We see that the y-value would be 0 looking at the y-axis.
We also see that our x-value would be 3 looking at the x-axis.
Therefore, our coordinates are (3, 0).
write the product of a number and 21 as an algebraic expression
Answer:
21n=
n-number and since its a number (n) and 21 you would put 21n
Answer:
[tex]\boxed {\tt 21n}[/tex]
Step-by-step explanation:
We want to write the product of a number and 21 as an algebraic expression. Let's define "a number" as the variable n.
We know that "product" means multiplication. The product of a number, n, and 21 is equal to multiplying n and 21.
[tex]n*21[/tex]
21 and n can be flipped due to the commutative property of multiplication.
[tex]21*n[/tex]
[tex]21n[/tex]
The product of a number and 21 is 21n.
7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.
Answer:
Error was at the fourth line: 12 = 16x
Correct solution: x = ½
Step-by-step explanation:
Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.
10 - 2x = 19x + 2 - 5x (given)
10 - 2x = 19x - 5x + 2
10 - 2x = 14x + 2
Add 2x to both sides
10 - 2x + 2x = 14x + 2 + 2x
10 = 14x + 2x + 2
10 = 16x + 2
Subtract 2 from both sides
10 - 2 = 16x + 2 - 2
8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)
Proceeding further with our calculation, we would divide both sides by 16
8/16 = 16x/16
½ = x
x = ½.
768 pages in 8 days = _____ pages per day
60 divided (6 1/7 - 1/7) x 4
WILL GIVE BRAINLIST Someone solve number 4 for me really quick must show work
Answer:
1/3
Step-by-step explanation:
3 1/3 divided 10 = 1/3
A teacher earns 32500 per year if 33% of her income is withheld for taxes, how much money is withheld for taxes
Answer:
$11,357 is withheld for taxes
s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
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