Answer:
x = -1.5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.2x + 1 = 1.6x + 3.1
Step 2: Solve for x
Subtract 0.2x on both sides: 1 = 1.4x + 3.1Subtract 3.1 on both sides: -2.1 = 1.4xDivide both sides by 1.4: -1.5 = xRewrite: x = -1.5Step 3: Check
Plug in x to verify it's a solution.
Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply: -0.3 + 1 = -2.4 + 3.1Add: 0.7 = 0.7There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6. How many bowls of grapes are on the table?
Answer:
There are 16 bowls
Step-by-step explanation:
Number of bowls = x
Total grapes added = 12 x 8 = 96
The average increased by 6
So 96/6 = 16
There were 16 bowls of grapes on the table
OR
12 x 8 = 96
96/6=16
Answer:
16 bowls
Step-by-step explanation:
Number of bowls = x
Total grapes added = 12 x 8 = 96
The average increased by 6
So 96/6 = 16
There were 16 bowls of grapes on the table
A full strip plus another half of a strip of staples contains 315 staples
Answer:
[tex]210 staples[/tex]
Step-by-step explanation:
Lets solve this equation:
[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]
Combine terms:
[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]
[tex]x=315*\frac{2}{3}[/tex]
[tex]x=210[/tex]
So a full strip contains 210 staples.
Hope this helps :D please hit the crown
Find the constant of proportionality for the table and write in the form y = kx.
A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x
Answer:
The constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
[tex]y=6x[/tex]Step-by-step explanation:
The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.
We know the equation
[tex]y=kx[/tex]
where k is the constant of proportionality.
Looking at the graph,
at x=7, the value of y=42
so the ratio of y/x = 42/7 = 6
at x=14, the value of y=84
so the ratio of y/x = 84/14 = 6
at x=21, the value of y=126
so the ratio of y/x = 126/21 = 6
at x=28, the value of y=168
so the ratio of y/x = 168/28 = 6
We observe that the ratio of y/x remains constant which y/x=6
so using the equation
[tex]y=kx[/tex]
take any point let say (7, 42)
42 = k(7)
42/7=k
6 = k
Therefore, the constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
[tex]y=6x[/tex]
Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes
Answer:
Hh
Step-by-step explanation:
How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many
find x
please solve this
Answer:
120°
Step-by-step explanation:
ABCD is a cyclic Quadrilateral.
[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.
Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
[tex] \therefore x = m\angle ADC\\\\
\therefore x = 120\degree [/tex]
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
What is 1350 as a fraction
Answer:
it is the same as 1350/1
Step-by-step explanation:
so it is being divided by 1, which means it is the same thing.
Answer:
Step-by-step explanation:
1350/1. any whole number you place over 1.
What is a complete circle in radians?
Answer:
The radian is a unit of measure for angles used mainly in trigonometry. ... Whereas a full circle is 360 degrees, a full circle is just over 6 radians. A full circle has 2π radians (Roughly 6.28) As seen in the figure above, a radian is defined by an arc of a circle.
insert three arithmetic means between 7 and 15
Answer:
9, 11 , 13
Step-by-step explanation:
Find the average of 7 and 15, that is
[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11
We now have 7, 11, 15
Now find the average of 7 and 11, 11 and 15
[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13
Thus the 3 arithmetic means between 7 and 15 are
9, 11, 13
Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.
Answer:
Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.
Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:
150 + 10t = 25t
150 = 25t - 10t
150 = 15t
150/15 = t
10 = t
Therefore, in 10 weeks they will both have the same amount:
Roshaun: 150 + 10(10)--->150 + 100 = $250
Keegan; 25(10) = $250
Hope this helps!
Step-by-step explanation:
Please mark me as the brainliest answer and please follow me
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
PLEASE PLEASE PLEASE HELP!
Answer: Interval Notation:
(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:
{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(
Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)
Guys, please help! I'm reaallllyyyy desperate!
Answer:
So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
-a-b²+3ab
-(-1)-5²+3(-1×5)
+1-25-3+25
-24-3+15
-27+15
=-12
PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?
I WILL MARK BRAINLIEST!!!!!!
Answer:
There are 19 quarters and 8 dimes.
Step-by-step explanation:
We will let x denote the amount of quarters.
Since there are 27 coins in total, (27-x) will be the amount of dimes there are.
Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.
And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).
We know that the total value of all 27 coins is $5.55. So, we can write the following equation:
[tex]0.25x+0.1(27-x)=5.55[/tex]
So, we will determine the value of x, the amount of quarters there are.
First, let’s multiply everything by 100 to remove the decimals. So:
[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]
Distribute:
[tex]25x+10(27-x)=555[/tex]
Distribute:
[tex]25x+270-10x=555[/tex]
Combine like terms:
[tex]15x+270=555[/tex]
Subtract 270 from both sides:
[tex]15x=285[/tex]
Divide both sides by 15:
[tex]x=19[/tex]
So, the value of x is 19.
This means that there are 19 quarters.
So, the amount of dimes must be 27-19 or 8 dimes.
9514 1404 393
Answer:
19 quarters8 dimesStep-by-step explanation:
When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.
Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.
The total value (in cents) is ...
25q +10(27 -q) = 555
15q +270 = 555 . . . . . . . collect terms
15q = 285 . . . . . . . . . subtract 270
q = 19 . . . . . . . . divide by 15
27 -19 = 8 . . . . . the number of dimes
There are 19 quarters and 8 dimes.
_____
Check
19 quarters have a value of 19×$0.25 = $4.75
8 dimes have a value of 8×$0.10 = $0.80
Then the total value of the 27 coins is $4.75 +0.80 = $5.55
_____
Additional comment
This is equivalent to working the problem by substitution where you write two equations ...
d + q = 2710d +25q = 555Then solve for d and substitute, leaving the variable q.
d = 27 -q
10(27-q) +25q = 555 . . . . the equation we wrote above
Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.
You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.
Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this
Answer:
The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.
Step-by-step explanation:
The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.
Given that,
To compare the function shown in the graph with y =7x -10.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.
Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.
learn more about function here:
brainly.com/question/21145944
#SPJ5
CAN SOMEONE PLEASE HELP ME?
PLEASE. There are four questions that I just need help with :(
What is the successor of 2,550
Answer:
2551
Step-by-step explanation:
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.
A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?
Answer:
Their is a different question in the pic then the writing?
(2,5),( 3, 6) Rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10
Answer: 3
Step-by-step explanation:
-15- -45= 30
30/10=3
Can someone please explain how I am supposed to do this I do not understand at all whatsoever.
Answer:
B. (6,-3)
Step-by-step explanation:
3x - 5y ≥ 10
(1,4) IS NOT a solution to the equation
3(1) - 5(4) ≥ 10
3 - 20 ≥ 10
- 17 ≥ 10
3x - 5y ≥ 10
(6,-3) IS a solution to the equation
3(6) - 5(-3) ≥ 10
18 + 15 ≥ 10
33 ≥ 10
3x - 5y ≥ 10
(-5,-2) IS NOT a solution
3(-5) - 5(-2) ≥ 10
-15 + 10 ≥ 10
-5 ≥ 10
3x - 5y ≥ 10
(2,0) IS NOT solution
3x - 5y ≥ 10
3(2) - 5(0) ≥ 10
6 - 0 ≥ 10
6 ≥ 10
I NEED HELP WITH THIS OMG
Answer:
its actually hard
Step-by-step explanation:
it is hard OMG
Answer:
∠ EDF =104°
Step-by-step explanation:
The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ EDF = [tex]\frac{1}{2}[/tex] (arc EF + arc GU )
= [tex]\frac{1}{2}[/tex] (147 + 61)°
= [tex]\frac{1}{2}[/tex] × 208°
= 104°
help plz its do in 10 min
Answer:
No offence
Step-by-step explanation:
but have you tried looking it up?
Some equations have the form y=kx, where k is a number.
Which equation CANNOT be written in the form y=kx?
y=x
y=x+3
y/2=x
y= ‐1/10x
Answer:
y=x+3
Step-by-step explanation:
The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:
y=x is possible if the value of k is 1, provided that both y and x are of the same value.
y/2=x is possible because y=2x, provided that 2 is the value of k.
y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.
solve 1) y"+y'+y=x²;
Answer:
i will get a wrong aswer
Step-by-step explanation:
sorry
solve the equation
pls help
Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback books and two hardback books. How much change will Travis receive from a $20 bill?
Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50
Total cost of paper back books :
($1.50 × 5) = $7.50Total cost of hardcover books :
($3 × 2) = $6Total cost = $7.50 + $6.00 = $13.50
Change = $20 - $13.50 = $6.50
Therefore, Travis will get a change of $6.50
Learn more : https://brainly.com/question/18106342
Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?
Answer:
El tercer ángulo es 80
Step-by-step explanation:
En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)