A system of equations is shown below:
2x = 5y + 4
3x − 2y = −16
What is the solution to this system of equations? (5 points)
Answers
Answer:
x = -8, y = -4
Step-by-step explanation:
First we want to write the equations so the variables line up
[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]
Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.
I will choose to cancel out the x's
[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]
add the equations and solve
[tex]11y = -44\\y = -4[/tex]
once you have one variable, you can use it to solve the other
[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]
verify
[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]
it works
X = -8
Y = -4
Here is the working
Related Questions
Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?
A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6
Answers
Answer: 6x+1250
Step-by-step explanation:
Amount already in the register = $1250
Number of phones sold every hour = 6
Price of the phone = x
The expression that represents the total amount of money that he should have in the register in a given hour will be:
= $1250 + $6x.
Therefore, option C that is 6x + 1250 is the correct answer.
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answers
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answers
Answer:
the product of 9 and 4 divided by 6
What is the solution of the equation x2=64
Answers
I need help please it’s due in a couple of minutes
Answers
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answers
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answers
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answers
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17
Answers
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75Discount% for Carla = 19%
The amount paid by Carla is,
[tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85Discount% for Jeana = 20%
The amount paid by Jeana is,
[tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answers
Answer:
Step-by-step explanation:
Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4
Answers
Answer:
m≤1
Step-by-step explanation:
Move the variable to the left,
m-5m≥-4
Collect like terms so you would have,
-4m≥-4
Then divide and switch the sign because you divided,
m≤1
Use the Distributive Property to simplify 17(2b + 3)
Answers
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
Will hand out brainliest to the best answer! (+100 pts)
Answers
Answer:
6
Step-by-step explanation:
If the x is 2 in f(x) the answer should be 6 according to your table.
Answer:
6
Step-by-step explanation:
if the X is to in f(x) answerr will be 6 according to your table
1890s was rounded to the nearest 10 what is the upper bound
Answers
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answers
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
Which choice shows the following rational numbers in order from least to greatest?
1.6
9/10
15/8
190%
1 1/2
I will give BRAINLIEST!!!!!!!
Answers
Answer:
It is A trust.
Step-by-step explanation:
9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8
then 190% because it is the largest number
Answer:
tfgvb
Step-by-step explanation:
tfgcv
Can y’all help me please:)
Answers
Answer:-9
Step-by-step explanation:
that is the answer
An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.
Answers
Answer:
Step-by-step explanation:
Given the equation y = 2,5x
y is the height of the water
x is the time.
To get the range of values of the height at t = 60s, we will substitute x = 60 into the function
y = 2.5(60)
y = 150 in
Hence the range of the situation is [0, 150].
The domain will be all positive integers i.e xEZ
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answers
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Which point represents (5,-3) on the graph?
Answers
Answer:
Point D
because you go 5 to the right and 3 down.
D
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PLEASE HELP ME OUT IF YOU CAN
Answers
Answer:
D
Step-by-step explanation:
GEOMETRY/EASY PROBABILITY, urgent!
Answers
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
Mark me as brainliest
I’m not very great a math and I’m a bit rush so yeah
Answers
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
what are all the fractions that are equivalent to 5/6
Answers
Answer:
There are infinitely many equivalent fractions
Step-by-step explanation:
This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.
5a+12 = 9A-12
Can anybody help me ?
Answers
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Answers
which of these is correct? will give brainliest C:
Answers
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
Help pls idk how to do this idk if i will set it up right
Answers
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answers
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answers
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]