Answer:
x=1, y=2
Step-by-step explanation:
Answer: x = 13 and y = -2
Step-by-step explanation:
You need to use the elimination method for each equation, so that means being able to cross them out by equaling them to 0. You can choose x value or the y value, since you need to do 2 things to the y value I will show you an easier way with the x value since it is equal to one in the top equation.
Looking at the bottom equation, you need to find a way to set the x equation to cross 2x out making it 0. Removing x from this, how can you make 2 end up being 0? Subtract 2 from it, but x is not -2 on the first equation, so you have to times everything in that equation by -2 to make x -2.
so basically,
-2(x + 3y = 7)
your new equation is
-2x -6y = -14
put your other equation under it to eliminate the x value finally.
-2x -6y = -14
2x + 2y = 6
so you only need to combine like terms. X is no longer included because x is eliminated.
-4y = 8
divide to find the value of y
Y = -2
plug your newly found equation in for y in the original equation (either one is fine.
x + 3(-2) = 7
x -6 = 7
add 6 to both sides
x = 13
PLEASE HELP
Solve each given equation and show your work. Tell whether it has one solution,an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or nethier.
(A) 5x+9=2x+7+3x-15
(B) 7x+5x-7=21+10x
(C)24-3x=8-2x+16-x
5x+9=2x+7+3x-15
0=17
7x+5x-7=21+10x
2x=28
x=14
24-3x=8+2x+16-x
-4x=0
~
answer:c
A metal cylinder has a mass of 6.20 g. The density of the cylinder is 21.0 g/mL. What is its volume?
Help ?
Answer:
Step-by-step explanation:
The formula for density is D = M/V meaning mass per unit of volume.
Once you solve for V, you get M/D which would be 6.2g/(21g/ml).
The grams cancel and you get mL, 0.295mL to be exact
Which rate is equivalent to the unit rate of 17 miles per gallon?
Answer:
B.
Step-by-step explanation:
51 miles / 3 gallons = 17 miles per gallon
its b i did the test
X<1 is the solution to which of the following compound inequalities?
O A.X < 3 and x < 1
O B.X < 3 or < 1
O C.X > 3 and < 1
O D.X > 3 or <1
Answer: a. x<3 and x<1
is 3pi rational or irrational I keep getting mixed answers.
Answer:
Irrational.
Step-by-step explanation:
π, or pi, is an irrational number. 3 times π would still be irrational, as its decimal never ends.
3pi is an irrational number an irrational number (pi) multiplied by a rational number is irrational
There are 10 questions in a quiz. Using the reference image, find how many questions must be answered correctly to earn at least 14 points.
Given that
R
=
4
x
+
6
y
Find
x
when
y
=
4
and
R
=
11
Give your answer as an improper fraction in its simplest form
Answer: x= -3.25
Step-by-step explanation:
R=4x+6y 11=4x+6(4) 11=4x+ 24 11-24=4x -13=4x -13/4=x x=-3.25
11=4(-3.25)+ 6(4) 11= -13+24
5x + 3 < -7 or -2x - 6 < -8
Answer:
-2x - 6 < -8
Step-by-step explanation:
when the first one is smiplfid it gives us x<−2
when the second one is smiplfid it gives us x>1 which means it's correct because 8 is greater than 1
plz mark brainliest
Answer:
( −∞ , −2 ) ∪ ( 1 , ∞ )
Step-by-step explanation:
5x + 3 < -7 → x < −2 → ( −∞ , −2 )
-2x - 6 < -8 → x > 1 → ( 1 , ∞ )
5x + 3 < -7 or -2x - 6 < -8 → x < −2 or x > 1 → ( −∞ , −2 ) ∪ ( 1 , ∞ )
Graph 1) 5x + 3 < -7
Graph 2) -2x - 6 < -8
Graph 3) 5x + 3 < -7 or -2x - 6 < -8
List all number sets that apply to each number.
Sophie has 30 coins, all nickels and dimes.
She has five times as many nickels as
dimes. How much money does she have?
Equivalent to 175 cents
She has 5 dimes and 25 nickels
====================================================
Explanation:
n = number of nickels
d = number of dimes
n+d = 30 since she has 30 coins of just these two types
n = 5d because she has five times as many nickels compared to dimes
-----------------
We'll use substitution to solve this system
n+d = 30
5d+d = 30 ... replace n with 5d
6d = 30
d = 30/6 ... divide both sides by 6
d = 5
Sophie has 5 dimes
n = 5d
n = 5*5 ... plug in d = 5
n = 25
Sophie also has 25 nickels
(5 dimes) + (25 nickels) = 30 coins total
This confirms we have the right coin counts.
-------------------
Let's find the value of each stack of coins
1 nickel = 5 cents
25 nickels = 125 cents (multiply both sides by 25)
1 dime = 10 cents
5 dimes = 50 cents (multiply both sides by 5)
(5 dimes) + (25 nickels) = (50 cents) + (125 cents) = 175 cents
175 cents = (175/100) dollars = 1.75 dollars
Gavin borrowed $250 from his parents to buy a new mp3 player. Each week he pays his parents back $10. The function, m(w) = 250 – 10w, represents how much money Gavin still owes his parents. What does the value of w represent when m(w) = 0? Explain your reasoning. What is the value of w when m(w) = 0?
Answer:
m=25
Step-by-step explanation:
You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.
The circumference of a soda can is 62.8 mm. Find the radius of the soda can?
Answer:
9.99493
Step-by-step explanation:
You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
a2 + 12 + 181
When a = -2 and b =
14, the value of the expression is
Answer:
√(-2)²+12+14=√16+14=4+14=18
Step-by-step explanation:
The value of expression (√a² + 12) + |b| when a = -2, b = 14 is 16.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given expression
(√a² + 12) + |b|
a = -2
b = 14
Substituting value of a and b in the expression
(√-2² + 12) + |14|
= (√4 + 12) + 14
= (√16) + 14
= 4 + 14
= 16
Hence, 16 is the value of expression (√a² + 12) + |b| when a = -2, b = 14 .
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Is -43 a rational number?
(-4x2 + 2) - (-7ac2 + 10x + 1)
Answer:
-4[tex]x^{2}[/tex]+1+7[tex]a^{c} ^{2+10}[/tex]x
Step-by-step explanation:
3x-10
25
X+15
Find the value of x
X= type your answer...
Concepts Used:
Exterior Angle PropertyFinding x:_____________________________________________
From the Exterior angle property, we know that the measure of an exterior angle is the sum of the 2 opposite interior angles
So, using the property
(3x-10) = (25) + (x + 15)
3x - 10 = 25 + x + 15
3x - 10 = 40 + x
3x-x - 10 = 40 [subtracting x from both sides]
2x - 10 = 40
2x = 50 [adding 10 on both sides]
x = 25 [dividing both sides by 2]
Hence, the value of x is 25
8+(-3) what is the answer
Answer:
5
Step-by-step explanation:
Add. 8 plus a negative three would be subtracting 8-3.
Hope this helped and have a great day!
Answer:
5
Step-by-step explanation:
8 + (-3)
8 - 3
5
Best of Luck!
Peter is five years more than half kim’s age. kim is 16 years old.
how many years old is peter
A) 8
B) 13
C) 21
D) 32
Answer:
B)13
Step-by-step explanation:
Answer:
Peter would be 13 years old.
Step-by-step explanation:
Is the following statement true or false?
The intersection of two lines can be a line segment.
Answer:
True
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Angle P Q R has measure 3 x minus 5 degrees and angle R Q S has measure x plus 1 degrees. m∠PQR =
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
The measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
Given that, points P, Q and S are collinear, then the three points lies on the same straight line.
The straight ∠PQS is divided into 2 angles as ∠PQR and ∠RQS, by ray QR, then ∠PQR + ∠RQS = 180°
Here, ∠PQR = (3x-5)° and ∠RQS =(x+1)°
So, (3x-5)°+(x+1)°=180°
4x-4=180
4x=184
x=184/4
x=46
Now,
∠PQR = (3x-5)°
= 3×46-5
= 138-5
= 133°
Hence, the measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
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Tickets to the school musical are $5.00 for adults and $2.50 for students. If the total value of the tickets sold was $687.50 and 50 more students
bought tickets than adults, how many adults and students bought tickets?
Answer:
Your answers should be a = 135 adult tickets and s = 186 student tickets.
Step-by-step explanation:
1. Solving for variable s by manipulating variable a:
a + s = 321
a = 321 - s (subtract s to the other side to get a by itself)
$3.50(321-s) + $2.50s = $937.50 (substitution from step 2)
$1123.50 - $3.50s + $2.50s = $937.50 (distributive property)
$1123.50 - $1.50s = $937.50 (combine like terms)
-$1.00s = -$186 (subtraction property of equality)
s = 186 student tickets.
2. Solving for variable a by manipulating variable s:
a + s = 321
s = 321 - a
$3.50a + $2.50(321-a) = $937.50
$3.50a + $802.50 - $2.50 a = $937.50
$1.00a = $135
a = 135 adult tickets.
If you plug both numbers into the original equations, they should come out to be true equations. 135 + 186 = 321 and $472.5 + $465 = $937.5, so these two numbers are your answers for a and s accordingly.
Using the elimination method, we need to eliminate one of the variables by a process of subtraction or addition depending on the case. We can use multiplication or division before eliminating in order to eliminate.
a + s = 321
3.50a + 3.50s = 1123.50 (multiply entire equation by 3.50 in order to eliminate variable a by subtraction)
Now, we can use elimination:
3.50a + 3.50s = 1123.50
3.50a + 2.50s = 937.50
0a + 1s = 186, or s = 186 student tickets.
The same process can be used to solve for variable a. Your answers should be a = 135 adult tickets and s = 186 student tickets.
can someone help check my work pls
Answer:
Rectangle T, Rectangle P, Rectangle S
Step-by-step explanation:
With a quick use of a calculator, we can convert all the diagonal lengths into decimals for easy comparison
Rectangle P = 6.7 cm
Rectangle S = 34/5 = 6.8 cm
Rectangle T = [tex]\sqrt{36.5}[/tex] = 6.04 cm
Hence from the shortest to the longest, we have
T, P, S
Why do waves move faster at higher temperatures and in a solid phase?
There is more energy and the particles are farther apart.
There is less energy and the particles are closer together.
There is less energy and the particles are farther apart.
O There is more energy and the particles are closer together.
Answer:
its d
Step-by-step explanation: im taking the quiz right now and this is what i chose i am 100% sure that this is the answer! Hope this helps!
The waves move faster at higher temperatures and in a solid phase because there is more energy and the particles are closer together.
What is Energy?Energy is a quantifiable quality that may be imparted to a body or a physical system and is visible in the way things work as well as in the way that things radiate heat and light.
Higher temperatures imply more energy, and particles are close together in a solid phase.
As a result, highly energetic particles collide with nearby particles, which then collide with further particles.
Higher temperatures cause waves to move more quickly; in a solid phase, more energy is there but the particles are farther apart.
less energy is present but the particles are closer together; more energy is present but the particles are farther apart.
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Mrs. Johnson is buying a car that costs $15,000. She has $3,000 for a down payment. If each of her four children want to pay for the rest of the car, how much does each child need to pay?
Answer: 15-3=12 12/4=3 each child will pay 3,000
g(x) = x^2 - 3x. Find g (-4)
Step-by-step explanation:
g(-4)=(-4)^2-3(-4)
=16+12
=28
Find the x plz help
[tex]\tt Step-by-step~explanation:[/tex]
To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.
[tex]\tt Steps:[/tex]
Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.
[tex]\tt 43+60=103\\180-103=77\\x=77[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=77}[/tex]
if the m
a. complementary angles
b. supplementary angles
c. linear pair
d. vertical angles
quickly plzz!!
Answer:
you're question is not clear enought
Step-by-step explanation:
I'm so confused.
What is the inverse of the function f(x) = 2x + 1? 1 1 Oh(x) = 2 2 1 oh(x) = O n(x) = 5x + 199 3x-2 - 3x + 2 h(x) = x + 2
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Given h(x) = 2x – 3, find h(9)
Answer:
h(9) = 14
Explanation:
h(x) = 2x - 3
h(9) = 2(9) - 4
h(9) = 18 - 4
h(9) = 14
how do you solve this equation by completing the square2x² + 16x - 11 = -7
SHOW YOUR WORK!!!
Answer:
x = -4 ± 3√2Step-by-step explanation:
See the steps
2x² + 16x - 11 = -72(x² + 8x) = 4x² + 8x = 2x² + 8x + 16 - 16= 2(x² + 8x + 16) = 16 + 2(x + 4)² = 18x + 4 = ± 3√2x = -4 ± 3√2