Answer:
for 0.4x – 3y = 7
Step-by-step explanation:
The answer is Changes made to your input should not affect the solution:
(1): "0.4" was replaced by "(4/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(4/10)*x-3*y-(7)=0
STEP
1
:
2
Simplify —
5
Equation at the end of step
1
:
2
((— • x) - 3y) - 7 = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
3y 3y • 5
3y = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x - (3y • 5) 2x - 15y
————————————— = ————————
5 5
Equation at the end of step
2
:
(2x - 15y)
—————————— - 7 = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
7 7 • 5
7 = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(2x-15y) - (7 • 5) 2x - 15y - 35
—————————————————— = —————————————
5 5
Equation at the end of step
3
:
2x - 15y - 35
————————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2x-15y-35
————————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2x-15y-35 = 0
Equation of a Straight Line
4.2 Solve 2x-15y-35 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x-15y-35 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333
y-intercept = 35/-15 = 7/-3 = -2.33333
Calculate the X-Intercept :
When y = 0 the value of x is 35/2 Our line therefore "cuts" the x axis at x=17.50000
x-intercept = 35/2 = 17.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.333 and for x=2.000, the value of y is -2.067. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.067 - (-2.333) = 0.267 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.267/2.000 = 0.133
Geometric figure: Straight Line
Slope = 0.267/2.000 = 0.133
x-intercept = 35/2 = 17.50000
y-intercept = 35/-15 = 7/-3 = -2.33333
Write the number 0.00003489 in the form a x 10k
Answer:
that is wrong you know, right?
Step-by-step explanation:
Answer:
3.489 * 10^-5
Step-by-step explanation:
A math problem has 25 questions.Some are worth 2 points and some are worth 3 points. The test is worth 60 points in total. Which systems can be used to determine the number of 2 points and the number of 3 points on the test?
Answer:
There can be many possibilities
Possibilities:
one possibilities that is perfect according to me is:-
15questions of 2 points
15×2=30 points
.
.
10questions of 3 points
10×3=30 points
.
.
Total =30+30=60 points
.
.
Hope it helped you
lf not then I am sorry for this.
Bye
.
.
Good morning
Good evening
Good night
The system reveals that there are 15 questions worth 2 points and 10 questions worth 3 points on the test.
Given:
Total question = 25
Marks for question= 2 or 3 points
Total marks = 60
Let x be the 2-point questions and y be the number of 3-point questions.
As, there are a total of 25 questions then
Equation1 : x+ y= 25
and, total points in the test is 60 then
Equation 2 : 2x+ 3y = 60
From equation 1: y= 25 -x.
Substitute y = 25 -x into the Equation 2
2x + 3(25-x) = 60
2x + 75- 3x= 60
75 - x = 60
-x = 60 - 75
-x = -15
x= 15
Now, the value of y is
y = 25 -x
y = 25 - 15
y = 10
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An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution.
Answer:
$42.12
Step-by-step explanation:
Calculation for How much will Gretta pay in total for this transaction
First step is to calculate the new price
New price=$65- ($65*40%)
New price=$65-26
New price=$39
Second step is to calculate the sales tax amount
Sales tax=8%*39
Sales tax=$3.12
Last step is to calculate How much will Gretta pay in total for this transaction using this formula
Total Amount to be paid=New price+Sales tax
Let plug in the formula
Total Amount to be paid=$39+$3.12
Total Amount to be paid=$42.12
Therefore the amount that Gretta will pay in total for this transaction will be $42.12
Paige is buying asparagus and bananas at the grocery store. Asparagus costs $3.00 per pound and bananas cost $0.50 per pound. Write an inequality to represent the number of pounds of asparagus, a, and the number of pounds of bananas, b, that Paige can buy with a $20.00 bill.
Answer:
she can buy 10 bananas and 5 asparagus
Step-by-step explanation:
Answer:
Paige can buy 5 Asparagus and 10 bananas
Step-by-step explanation:
What is y'all's favourite show on Netflix?
What is 9/6*6/7
Answer:
The Vampire Diaries and the spin offs 100%
THE UMBRELLA ACADEMY <3
It's really good, 7 brothers have super powers and they are gonna try to stop the apocalipse. My favorite character is Five btw, i'm simping on him lol
Need help with this question! :)
Answer:
13 i think
Step-by-step explanation:
NNNNNNNNEED HELP!!!!!
Answer: First box=3, second box=4, third box=0, last box=2
Step-by-step explanation: Do the math for the boxes.
The cost of candy is proportional to the weight of the candy. If 9 ounces of candy costs $1.80, how much will 30 ounces cost?
Answer:
$2.70
Step-by-step explanation:
9 x 20 = 180
9 x 30 = 270
hope it helped
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Greg went out for breakfast and had pancakes for $5.95, sausage for $1.50, and orange juice for $1.75. He would like to tip the waiter 15% of the total price. How much tip should Greg leave?
$1.16
$1.23
$1.38
$1.12
PLZ SHOW WORK OR SAY HOW TO DO IT TO GET BRAINLIYAST
Answer:
$1.38Step-by-step explanation:
Step one:
given data
pancakes =$5.95,
sausage = $1.50, and
orange juice =$1.75.
Total amount spent =5.95+1.50+1.75= $9.2
Step two:
15% of $9.2
=15/100*9.2
=0.15*9.2
=$1.38
Greg gave a tip of $1.38
What is a solution?
Answer:
A solution is a the thing you get when you do a math question
Step-by-step explanation:
Answer:
In math, it is the answer to a problem or question
In chemistry, a solution is a homogeneous mixture of two or more substances.
factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?
Answer:
a=-8 b=2
Step-by-step explanation:
x^2+6x-16
x^2+(8-2)x-16=0
x^2+8x-2x-16=0
X(X+8)-2(X+8)=0
(X+8)(x-2)=0
Compare with (X+a)(X+b)
Where we get a=-8 b=2
PLEASE its due in 10 minutes
For graph A, which student is walking faster, E or F? Explain
Answer:
e
Step-by-step explanation:
first of all common sense, the meeting point is the same but if f starts where it is it will take longer, e's postion is a much faster postion,
A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.
Answer:
x = ⅗ = 0.6
Step-by-step explanation:
A square has four equal sides.
If a square has a side length of [tex] x + 3 [/tex], therefore,
Perimeter of the square = [tex] 4(x + 3) [/tex]
[tex] = 4x + 12 [/tex].
Also, a regular octagon has 8 equal sides.
If it has a side length of 3x, therefore:
Perimeter of the octagon = [tex] 8(3x) [/tex]
= [tex] 24x [/tex]
Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.
Thus:
[tex] 24x = 4x + 12 [/tex]
Subtract 4x from each side
[tex] 24x - 4x = 12 [/tex]
[tex] 20x = 12 [/tex]
Divide both sides by 20
x = 12/20 = ⅗ = 0.6.
hello i really need ur help
Answer: Im sorry if i'm wrong but i think the intercept is 2
Step-by-step explanation:
what line is parallel to y=3x-6 and passes through the point 2,-4
Equation- a(10x+6)=b+40x. What is the value of A and B
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]a(10x + 6) = 40x + b[/tex]
[tex]10ax + 6a = 40x + b[/tex]
Thus :
[tex]10ax = 40x[/tex]
x s simplifies
[tex]10a = 40[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]
[tex]a = 4[/tex]
_________________________________
And also must :
[tex]6a = b[/tex]
[tex]b = 6a[/tex]
[tex]b = 6(4)[/tex]
[tex]b = 24[/tex]
_________________________________
So :
[tex]a = 4[/tex]
[tex]b = 24[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an unknown to find the number of runs it opponent scores. Then solve the equation show your work. Someone please tell me
Answer:
4x+8=x
Step-by-step explanation:
whats the answer 1 2 3
Answer:
600
610
You would round it to 600
Explanation:
Since 602 doesn't pass the five, it goes down to 600
9
Find the values of r and y.
с
A
95°
B
4x
ro
D
E
Answer:
x = 18°, y = 167°Step-by-step explanation:
In right triangle sum of two angles is 90°
4x + x = 90°5x = 90°x = 90°/5x = 18°Angle y is exterior angle and equals non-adjacent interior angles
y = 4x + 95° = 4*18° + 95° = 72° + 95° = 167°You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much money will you have after 20 weeks? Is this enough money to buy the skateboard?
Answer:
$105. I don't know about how much the skateboard is but on an average skateboard yes it is enough.
Step-by-step explanation:
If you get $3 a week and you have lived 20 more weeks. You would multiply 3 by 20 and get $60. Then you would add $60 to $45 and get $105. The average skateboard costs $70. So yes, a skateboard could be bought for $105. Hope this helps! Have a great day!
$105.
45 + 3w gives the amount of money you save after w weeks. We need to find amount of money we have after 20 weeks.
How to solve an equation ?In equation we have to arrange all variables on one side and constants on other side
To save for a skateboard, If you get $3 a week from your aunt and you have lived 20 more weeks.
We need to multiply 3 with 20 to get the amount for 20 weeks.
So 3*20=$60 for 20 weeks...(*)
and from given
The expression 45 + 3w gives the amount of money you save after w weeks.
$45+3W
=$45+$60 (From *)
=$105
Therefore $10 money is enough to buy the skateboard.
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Susan just got a promotion that increased her annual salary from $52,000 to $68,000. Susan's monthly expenses included a mortgage payment of $1 500 three minimum credit card payments that total $350, a lease payment of $280, a student loan payment of $250, and a personal loan payment of $325. How did Susan's debt-to-income ratio change with her promotion?
a. Susan's debt-to-income ratio decreased by about 2%
b. Susan's debt-to-income ratio increased by about 2%
c. Susan's debt-to-income ratio decreased by about 15%.
d. Susan's debt-to-income ratio increased by about 15%
Answer:
c. Susan's debt-to-income ratio decreased by about 15%
Step-by-step explanation:
Susan's previous salary = $52,000
Susan's new salary = $68,000
Susan's mortgage = $1,500
The total of three minimum credit card payment = $350
Her lease payment = $280
Her student loan payment = $250
Her personal loan payment = $325
Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705
Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %
Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%
The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease
Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.
Answer:
c. Susan's debt-to-income ratio decreased by about 15%
Step-by-step explanation:
e d g e
a train covers 165 miles in 1.5 hours find the constant variation.
Answer:
242
Step-by-step explanation:
trust me
Answer:
i got 110 lol
Step-by-step explanation:
165/1.5= 110
-2.5 times (-3/4) solution
Answer:1.875
Step-by-step explanation:
The solution to the expression "-2.5 times (-3/4)" is 1.875.
A set of numbers, variables, and mathematical operations that may be evaluated to yield a value are referred to as expressions in mathematics. A single number or variable might be used, or it can be more complicated and involve several words and processes.
To find the solution to the expression "-2.5 times (-3/4)", we can follow these steps:
Step 1: Multiply -2.5 by -3/4,
-2.5 x (-3/4) = (2.5/1) x (3/4) = (2.5 x 3) / (1 x 4) = 7.5/4
Step 2: Simplify the fraction,
To simplify the fraction 7.5/4, we divide the numerator (7.5) by the denominator (4).
7.5 ÷ 4 = 1.875
In summary, when we multiply -2.5 by -3/4, we get 7.5/4, which simplifies to 1.875.
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which one is correct
Answer:
15
Step-by-step explanation:
A student earned a grade of 80% on a math test
that had 30 problems. How many problems on
this test did the student answer correctly?
Answer:
24 problems
Step-by-step explanation:
equation: 80/100 = x/30
cross multiply: 100 * x = 80 * 30
multiply: 100x = 2400
divide each side by 100: x = 24
24 problems
I hope this helped, please mark Brainliest, thank you !!
The problems on the test the student got correctly is 24.
Percentage can be described as a fraction of a number expressed as a number out of hundred.
80% of the questions were gotten correctly.
Number of questions gotten corrected = percentage gotten currently x number of questions
80% x 30
= 0.8 x 30 = 24.
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if the length of a cube is 6 inches, what is the surface area?
Answer:
[tex]\huge\boxed{216 \ \text{in}^2}[/tex]
Step-by-step explanation:
We can find the surface area of an object by finding the area of all its sides and adding them up.
We know that a cube has 6 identical sides. Therefore, we can just find one side and multiply by 6.
A cube is made up of 6 squares. We can find the area of this square by squaring the length (multiplying it by itself).
Since the length is 6, that means the area of one side of the cube must be [tex]6^2 = 6 \cdot 6 = 36 \ \text{in}^2[/tex]
Since there are 6 identical sides, the total surface area must be:
[tex]36 \cdot 6 = 216 \ \text{in}^2[/tex]
Hope this helped!
Expand pls help me
4ab(3a+b+5c)
Answer:
12a^2b+4ab^2+20abc
Step-by-step explanation:
Multiply 4ab sea
4abxb
4abx5c
Find the distance between the points given.
(0, -6) and (9,6)
9
15
square root of 26
Answer:
15
Step-by-step explanation:
Using the distance formula will help you with this!
I NEED HELP!!! with number 6, & 8?
Answer:
#6 =8
#8 =3
Step-by-step explanation:
the attached image is step by step