please help and show work
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
plz help due soon
Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?
Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
Answer:
42.50
Step-by-step explanation:
40X1.06
42.40
There are 12 boxes of books to put on shelves. Each box has 31 books.Each shelve holds 18 books. Kevin estimates he will need 20 shelves for all the books
Answer: False. 21 Shelves.
Step-by-step explanation:
First, 12 x 31= 372
This indicates that there are 372 books.
Then, 372 ÷ 18= 20.6666666667
Since we have a decimal that is above 4 we round up.
This leaves 21 shelves needed for all the books o fit on a shelf.
Paying 13 mortgage payments instead of 12 per year can save to you thousands in interest cost. If you had a $175,000 mortgage at 6% for 30 years, how much extra would you have to pay per year to make 13 instead of a 12 mortgage mortgage payments per year? How much would you pay if you paid 1/12 of it per month?
You would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
To calculate the additional amount you would have to pay per year to make 13 mortgage payments instead of 12, we need to determine the monthly mortgage payment first.
Using the formula for a fixed-rate mortgage:
[tex]M = \dfrac{P(r(1 + r)^n)} { ((1 + r)^n - 1)}[/tex]
M = P(r(1 + r)^n) / ((1 + r)^n - 1)
Here:
M = Monthly mortgage payment
P = Principal amount (mortgage amount)
r = Monthly interest rate (annual interest rate / 12)
n = Total number of payments (number of years × 12)
Let's calculate the monthly mortgage payment first:
P = $175,000
r = 6% / 12 = 0.005
n = 30 × 12 = 360
[tex]M = 175,000 \times\dfrac{ (0.005(1 + 0.005)^{360})}{ ((1 + 0.005)^{360} - 1)}[/tex]
M = $1,049.91
With a monthly mortgage payment of $1,049.91, we can calculate the additional amount you would need to pay per year to make 13 payments instead of 12.
Additional payment per year = Monthly payment × 12 - Monthly payment
Additional payment per year = $1,049.91 × 12 - $1,049.91
Additional payment per year = $12,599.92 - $1,049.91
Additional payment per year = $11,550.01
Therefore, you would need to pay $11,550.01 extra per year to make 13 mortgage payments instead of 12.
Now, let's calculate the amount you would pay if you made equal monthly payments throughout the year (1/12 of the mortgage amount per month).
Amount paid per month = Mortgage amount / 12
Amount paid per month = $175,000 / 12
Amount paid per month ≈ $14,583.33
Thus, you would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
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Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
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When multiplying exponents do you add them.
Question
Select the factored form of the expressions 3x2−11x−4
A (3x−4)(x+1)
B (3x−2)(x+2)
C (3x+1)(x−4)
D (3x−1)(x+4)
The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?
answer =0.8
Step-by-step explanation:
if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit
The unit cost of bubble gum is $0.8 per pack.
What is a linear equation?A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).
The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.
The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.
Therefore, the unit cost of bubble gum is $0.8 per pack.
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Select the correct answer.
Answer:
C
Step-by-step explanation:
ΔFDC and ΔFBA are similar AA Similarity
If the radius of a circle equals 20 cm find its circumference correct to one decimal place
Answer:
125.66
Step-by-step explanation:
i don't get the one decimal place part but there your answer
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
a/6-1/2=1/3 thats 7 grade math
Answer: a = 5
Step-by-step explanation:
a/6-1/2=1/3
a/6 = 1/3 + 1/2
a/6 = 2/6 + 3/6
a/6 = 5/6
a = 5
Check:
5/6-1/2 = 1/3 ?
5/6 - 3/6 = 1/3?
2/6 = 1/3 ?
1/3 = 1/3 YES
Answer:
a = 5
Step-by-step explanation:
a/6 - 1/2 = 1/3
=> a/6 = 5/6
=> a = 5
Hoped this helped.
help please !!!!!!!!!!!!!
Answer: + or - 8
Step-by-step explanation:
A. x^2 could be represented by the area of a square. Length and width are the same, so the area would be x^2. The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.
B. x^2 = 64
What number times itself equals 64? = 8
This could be either positive or negative, since (-8)^2 is also equal to 64.
Streams, rivers, ponds, lakes, and wetlands are all kinds of ecosystems.
Answer:
True
Step-by-step explanation:
They can sustain themselves
Answer:
Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.
if the set of values represent points on a line, what is the value of a?
Answer:
a = 7
Step-by-step explanation:
Equation of line : y = mx + b
m = slope
Plug in coordinates:
Slope = Change in y/Change in X
Slope = 13-4/5-2 = 9/3 = 3
Plug in coordinates:
y - intercept = b
13 = 5(3) + b
13 = 15 + b
b = -2
Equation: y = 3x - 2
Input 3 for x
y = 3x - 2
y = 9 - 2
y = 7
-Chetan K
helppppppppppppppppppppppppppppppppppppppppppppppp i will biranlllllly
Answer:
I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!
Step-by-step explanation:
a) even chance/ 1/2
b) even chance/ 1/2
c) no chance :( 0
d) even chance/ 1/2
e) even chance/ 1/2
Please help with this math problem!! Its due tonight!! :)
Answer:
Step-by-step explanation:
-7/8 divided by 9/8
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Answer:
77/8
Step-by-step explanation:
Can you please give me that answer
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
WORTH 20 POINTS!!!
Find the discriminant of the quadratic equation x2 + 6x + 14 = 0 and use it to determine the number and types of solutions.
b2 − 4ac
−20; Two nonreal solutions
−20; One real solution
92; Two real solutions
92; One real solution
Answer:
-20;two nonreal solutions
Step-by-step explanation:
D=b^2-4ac=36-14*4=-20
because after that you need to write D^1/2 and D is <0,the solutions are unreal
Answer:
-20 and two nonreal solutions.
Step-by-step explanation:
The discriminant of a quadratic equation uses the equation:
[tex]b^2 - 4ac[/tex]
Where the value of this calculation can tell you what solutions there are, plug known values in:
[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]
[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]
As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.
Hope this helps!
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7
Answer:
D) 13.7
Step-by-step explanation:
Find the number that makes the ratio equivalent to 1:2.
6:
What is it
ANSWER ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
there are 30% CDs that are other types of music
The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?
Answer:
ok
Step-by-step explanation:
try and check the denominator and cross check with the first expense made
How to add fractions with whole numbers.
Answer:
To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.
Step-by-step explanation:
I NEED THIS ASAP!!
Compare -7 and 5. Which statement is not true?
O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.
Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.
Dante is incorrect because point P is not the circumcenter of the triangle.
What is the circumcenter of a triangle?The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.
How to identify a circumcenter?There are some simple characteristics to determine if a circumcenter is correct.
All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.
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y=-2
4x-3y=18
solve by substitution
Answer: x= 3
Step-by-step explanation:
Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
32 to 40.
Answer:
Step-by-step explanation:
bro i dont know sory
Answer:
The number increased by 25%.
Step-by-step explanation:
If you divide 32 into 40 (40 / 32), it will get you 1.25.
Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.
0.25 is a 25% increase