Consistent System of Equations
In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
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In a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9. If the bag has a total weight of 3 kilograms, how many kilograms of beans are there in the bag? (round to nearest thousandths)
Answer: 0.667 kilograms
Step-by-step explanation:
From the question, we are informed that in a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9.
If the bag has a total weight of 3 kilograms, the amount of kilograms of beans that are there in the bag will be:
= 3/9 × 2 kilograms
= 6/9 kilogram
= 0.667 kilograms
A-5-B when A=9 and B=-4
Answer:
8
Step-by-step explanation:
(Refer to picture)
Plug in the value of A and the value of B into the expression
PLEASE HELP AND QUICK!!!
Answer:
A
Step-by-step explanation:
dude trust me
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
hellllp me with this plz thaks
Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.
Answer:
$5
Step-by-step explanation:
1=$5 so 2 hours = 10 SO 4hours ×$5= $20
Answer:
$5 per hour
Step-by-step explanation:
hope this helps :D
cheers man
(+16) + (-32) =
A -12
B 14
C -16
Answer:
-16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
16+(-32)= -16
What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answer:
0
Step-by-step explanation:
it has a zero slope
0,0
6,0
0-0=0
6-0=6
0/6 is 0
what other properties do we use to rewrite expressions and equations
Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation:
Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
What is Expression?An expression is combination of variables, numbers and operators.
The properties we use to rewrite expressions and equations are
The commutative
Associative, and
distributive properties
These properties help to rewrite a complicated algebraic expression into simpler form.
When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hence, Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
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Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
Answer:
y = 75x + 800
'x' represents the number of people
800 represents the base rate
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?
Answer:
583$
Step-by-step explanation:
6% is equal to 0.06, so you multiply 550 by 0.06. which equals 33. Then, because it asks for how much Katie played, including the tax and TV, you add 33 to 550.
Solve 3(4x-1)=12x +7
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
4x - 3 = 6x + 9 looking for variable
Answer:
x=-6
Step-by-step explanation:
Add 3 on both sides and subtract 6 on both sides.
This gives you -2x=12
Divide -2 on both sides
this gives you -6.
x=-6
[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]
Step By Step Explanation:
Step 1:
→[tex]4x - 3 = 6x + 9[/tex]
Step 2:
→[tex]4x - 6x = 9 + 3[/tex]
Step 3:
→[tex] - 2x = 12[/tex]
Step 4:
→[tex]x = \frac{12}{ - 2} [/tex]
Step 5:
→[tex]\green{x = - 6}[/tex]
verification:
Step 1:
⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]
Step 2:
⇝[tex] - 24 - 3 = - 36 + 9[/tex]
Step 3:
⇝[tex] - 27 = −27[/tex]
[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
b. e
Step-by-step explanation:
Options B and E are the correct answers.
We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.
The translation is (x, y) → (–x, –y).
Therefore, options B and E are the correct answers.
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PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:y=9
Step-by-step explanation:
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?
What??? what is this?
Answer:
1. 180 brains
Step-by-step explanation:
You started the day with a certain amount of money. You lost half of it. Then you lost an additional $100. Afterwards, you were given $5. Then you found $30. Afterwards, you lost half of your money again. You then lost another $8. You then gave away $7. You ended the day with $30. How much did you start with?
Answer:
$310
Step-by-step explanation:
starting backwards:
30+7=3737+8=4545*2=9090-30=6060-5=5555+100=155155*2=310Answer is $310Answer:
$310
Step-by-step explanation:
Which table represents a linear function?
answers are in the picture plz help im timed
Answer: first table
Step-by-step explanation: go with the first one
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]
Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?
Answer:
7 hours
Step by step instructions:
$3 x 7 hours = $21
$21 + $6 = $27
Simplify: 3x-4(2x-6) + 9
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
FAST
Which expression is equivalent to rm ÷ rn? (4 points)
rm – n
rm + n
rm • n
rm ÷ n
A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?
Answer:
3.33 m/s
Step-by-step explanation:
speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]