Solve using elimination
-2x+4y=-16
-2x-y=19
Answers
Answer:
x = -6 y = -7
Step-by-step explanation:
multiply the 2nd equation by -1 to get 2x + y = -19
Now -2x + 4y = -16
2x+y = -19
5y = -35
y = -7
Substitute y = -7 into the second equation to get -2x + 7 = 19
-2x = 12
x = -6
Check: Substitute values into the 1st equation
-2(-6) +4(-7) = 12 - 28 = -16
So we have the correct values for x and y
Related Questions
Find the perimeter of the figure.
Answers
area and perimeter
9=
10=
Answers
Answer:
9). 15 miles
10). 12880.8 in²
Step-by-step explanation:
9). Total distance to be covered by Kelly = Perimeter of the given triangle
= Sum of three sides of the triangle
To know the length of Laurel drive (Hypotenuse of the triangle), we will apply Pythagoras theorem in the given triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
= (2.5)²+ 6²
= 6.25 + 36
Hypotenuse = [tex]\sqrt{42.25}[/tex]
= 6.5 mi.
Therefore, total distance covered by Kelly = 6.5 + 2.5 + 6
= 15 mi.
10). Amount of paper required to cover one desk of the class
= Area of the trapezoid shown in the figure
= [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And 'h' is the distance between the parallel sides.
By applying Pythagoras theorem in ΔPRT,
PR² = RT² + PT²
PT = [tex]\sqrt{PR^2-RT^2}[/tex]
PT = [tex]\sqrt{(18)^2-2^2}[/tex]
= [tex]\sqrt{324-4}[/tex]
= [tex]\sqrt{320}[/tex]
= 17.89 in.
Area of the trapezoid PQRS = [tex]\frac{1}{2}(PQ+RS)(PT)[/tex]
= [tex]\frac{1}{2}(22+26)(17.89)[/tex]
= 429.36 in²
Therefore, paper required to cover 30 desks = 30 × 429.36
= 12880.8 in²
Evaluate 4x+2 when x=6 .please answer I'm being timed
Answers
Answer:
26
Step-by-step explanation:
first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.
4x + 2 ⇒ 4(6) + 2
simplify the expression, starting with 4 · 6.
4(6) + 2 ⇒ 24 + 2
then add 24 + 2.
24 + 2 ⇒ 26
aaaand your answer is 26! hope this helps. have a lovely day! <3
which of the following tables shows a proportional relationship between x and y
Answers
Answer:
B.
Step-by-step explanation:
Find the measure of < FEG
Answers
8 (7k + 7d +7) for k=5 d=4
Answers
Answer:
Answer. 5.0/5. 1.
Step-by-step explanation:
Answer
The answer would be 560
Step-by-step explanation:
8(7x5+7x4+7)
35+28+7
8x70
560
cos=0.985 rounded to nearest tenth
Answers
how many miles per hour does it take to go 160 miles in 4.5 hours
Answers
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answers
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
A 2-yard roll of plastic wrap costs $3.36. What is the price per foot?
Answers
Answer:
$0.56 per foot
Step-by-step explanation:
2 yards= 6 feet
3.36/6= 0.56
Answer:
$0.56 per foot
Step-by-step explanation:
1 yd = 3 ft
2 yd = 6 ft
3.36/6 = 0.56
A $230 suit is marked down by 30%. Find the sale price.
Answers
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
Which of the following is a rational number?
square root of 79, square root of 80, square root of 81, square root of 82
Answers
Answer:
Square Root of 81
Step-by-step explanation:
9 times 9 = 81
if the original quantity is 10 and the new quantity is 3 what is the percent decrease
Answers
Answer:
70% Decrease
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
The percent decrease is 70%.
It takes 570 gallons of paint to
paint the outside of the White House. If the number of
gallons used to paint each of its 4 sides is equal, how
many gallons of paint are used on each side
Answers
Answer:
142.5 gallons
Step-by-step explanation:
Divide 570 by 4 and then use that for one side
Q5
Askateboard is originally priced at $130. The online retailer gives a discount and the Skateboard is now priced at $78. Enter the
percentage discount for the cost of the skateboard
Answers
Answer:
Your answer is 40%
Hope that this is helpful. Tap the crown button, Like & Follow me
Answer:ok
Step-by-step explanation: 2+2 =4 - 1 = 3 quick maths!
PLS help for 55 points
Answers
BC=12
BC/x=5/6
12/x=5/6
x=14.4
Answer:
≈ 6.2
Step-by-step explanation:
Common side of the triangles is:
√10²-5² = √75Find x:
x = √75 - 6² = √75 - 36 = √39 ≈ 6.2Which ordered pair is a solution of the equation y = -6x +7? (1,1) (-1,1) (-6,7) (3,-11)
Answers
Answer:
Step-by-step explanation:
(1,1) works
(3,-11) works too
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 4 in the hundredths place is Response area the value of the 4 in the tens place.
1/10 1/100 1/1000
Answers
Answer:
1/100
Step-by-step explanation:
Answer: its 1/1,000
Step-by-step explanation:
There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?
Answers
Answer:
448 freshman.
Step-by-step explanation:
How many students at the university are freshmen?
= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.
A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,
Percentage of freshman = 100% - 24% - 20% - 28%
= 100% - 72%
= 28%
Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,
Number of students = 28% of 1600
= (28/100) × 1600
= 448
Hence, the number of students that are freshmen in the university is 448.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ5
Pls help me
I will give you brainliest
Pls
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Solve for the value of m.
Answers
Answer:
6°
Step-by-step explanation:
8m + 4° + 38° = 90°{ being complementary angles}
8m + 42° = 90°
8m = 90° - 42°
8m = 48°
m = 48° /8
m = 6°
Hope it will help :)
1/5 ( 3x + 1/2 )
expand the following expression
Answers
Answer:
(1/5 * 3x) + (1/5 * 1/2)
Step-by-step explanation:
This * is multiply and this property is distribution
Jasmine wants to earn $2,000 in simple interest through a
bank account earning 5% annually. How much principal
would she need to invest in the account to meet her interest
goal in 4 years?
Answers
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
In order to find out which graduates have the highest starting salaries, we gather information from graduates of ivy league, private, and public universities.
Answers
Please help me with this
Answers
Answer:
its B an D
Step-by-step expoin
stniop won
Answer:
The correct choices are: Both tables are relations because both display a set of ordered pairs, and table B is a function because each input has exactly one output.
Step-by-step explanation:
Both statements are true, both tables can be considered relations since all functions are relations, and because table A has proper inputs and outputs despite the fact of the same inputs resulting in different outputs. Table B can be considered a function because it has different inputs that each have an output, and there is no same input value that results in different outputs.
hey i need some help!
Answers
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
Movie Rental B is better to buy. It's cheaper by .75 cents.
Step-by-step explanation:
Solving Movie Rental A
To find the unit rate of this one, we divide the dollars and the rentals.
So, 15 ÷ 3 = 5
Unit Rate for Movie Rental A is 5
Solving Movie Rental B
Same as Movie Rental A, divide the dollars and the Rentals.
8.5 ÷ 2 = 4.25
The number with the less amount is cheaper so
4.25 is less than 5
−3x^2−4x+7 answer this problem please - algebra - factoring
Answers
Answer:
-(x-1) (3x+7)
Step-by-step explanation:
Answer:
-((x - 1)(3x + 7))
Step-by-step explanation:
Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.
3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
What is the mean of the data set rounded to the nearest tenth?
4.0 shirts
4.1 shirts
4.5 shirts
4.9 shirts
Answers
Answer:
4.1 shirts
Step-by-step explanation:
Mean can be found by adding all data points and dividing that by the total amount of data points.
There are 12 students selling shirt, which gives you 12 data points.
So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...
Which rounds to 4.1 shirts
Answer:
The correct answer is C: 4.1 shirts
Step-by-step explanation:
Did it on edge and got it correct
Hope This Helps!
Have a good day!
find the lcm 15 and 20
Answers
Answer:
5
Step-by-step explanation:
Solution:
15 20
/ \ / \
3 5 2 10
/ \
2 5
3*5*2*2=60
Which expression shows an equivalent way to represent the total bill?
Answers
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)