Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
please help me solve 9x-27=
Answer:
x = 3
Step-by-step explanation:
9x - 27 =?
+27 +27
9x = 27
divide both sides by 9
x = 3
Hope this Helps!!!
Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay
Step-by-step explanation:
Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31
i need help with this
Answer:
We conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]
since the denominators are equal, combine the fractions:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify
[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Therefore, we conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
A student needs 3/4 pounds of modeling clay for a project. If each package has 1/8 pounds of clay how many packages of clay does the student need for his project
Answer:
6 packages
Step-by-step explanation:
Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.
8 * 0.75 = 6
This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.
Phil started playing baseball on with a minor league team. When signing, he earned a $65 signing bonus. For each game he plays he earns $115. Write an equation in slope-intercept form to model this scenario. *
Answer:
y=115x+65
Step-by-step explanation:
He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.
The y-intercept is 65 because after signing, he earns $65 for free.
Hope I helped! Good Luck!
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
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simplify 1+4/x / 1-16 x^2
1+4/x x + 4
------------ = -------------
1-16 x^2 x(-4x + 1) (4x + 1)
hope this helps, it probs won't but-
Answer: [tex]\frac{x+{4} }{x - 16x^{3} }[/tex]
Steps:
[tex]\frac{1+\frac{4}{x} }{1-16x^{2} }[/tex][tex]\frac{\frac{x}{x} +\frac{4}{x} }{(1-4x)(1+4x) }[/tex] (get common denominator (x) for top and factor bottom)[tex]\frac{x+{4} }{x(1-4x)(1+4x) }[/tex] (add numberator, then move x to denominator)[tex]\frac{x+{4} }{(x-4x^{2} )(1+4x) }[/tex] (multiply x and (1-4x) )[tex]\frac{x+{4} }{x+4x^{2} - 4x^{2} - 16x^{3} }[/tex] (FOIL denominator)[tex]\frac{x+{4} }{x - 16x^{3} }[/tex] (simplify)Sorry about the delay. Hope this helps!
help me plz plz will mark branliest
Step-by-step explanation:
On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.
En un triángulo rectángulo, uno de los ángulos agudos mide 25 grados. ¿Cuanto mide el otro ángulo?
Answer:
Step-by-step explanation:
Si
The measure of the other acute angle in the right triangle is 65 degrees.
In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.
Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:
Measure of the other acute angle = 90 degrees - 25 degrees
Measure of the other acute angle = 65 degrees
Therefore, the measure of the other acute angle in the right triangle is 65 degrees.
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The question is in Spanish the question in English is :
In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?
whats 13/12 as a mixed number?
The required solution in mixed form is,
⇒ 1 1/12
We have to given that,
To change the fraction 13/12 into mixed number.
We know that,
Mixed fraction is written as,
a b/c
Where, a, b and c are whole number.
Here, Fraction is,
13 / 12
After divide,
1 1/12
Therefore, The required solution in mixed form is,
⇒ 1 1/12
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Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?
Answer:
Her salary for the month = $7260
Step-by-step explanation:
Amount sold = $62,000
Percentage rate = 3%
Salary from commission rate = Amount sold × Percentage rate
= $62,000 × (3 / 100) = $1860
Total salary = Base salary + Salary from commission rate
= $5,400 + $1860
= $7260
Therefore, her salary for the month = $7260
A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?
________the answer is Y=8X+2___________
Step-by-step explanation:
_
Need help i will mark brainliest
Answer:
6 sq. in
Step-by-step explanation:
To find area of triangle: base* height *1/2
height needs to be at a 90 degree angle from the base.
In this example, the base is 3 in, and the height is 4 in.
Plug these two into the equation
3 * 4 * 1/2 = 12 * 0.5 = 6
Which statement can be used to disprove the conjecture?
Conjecture: The square of any integer is positive.
Answer:
conjecture= the subject
A tire has a radius of 12 in. If that tire makes one full rotation how far does it travel?
5 rotations?
10 rotations?
Help
Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers. She wants to arrange all the stickers in to books.Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?
Answer:
The number of stickers that would be in each book is :
3 animal stickers, 4 flower stickers, 5 star stickers
Step-by-step explanation:
Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers.
We solve this above question, using the Greatest Common Factor Method
We find the factors of 24, 18 and 30
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
We are told that: Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?
For animal stickers
18 animal stickers
= 18 animal stickers/6
= 3 animal stickers
For flower stickers
24 flowers stickers
= 24 flowers stickers/6
= 4 flower stickers
For animal stickers
18 animal stickers
= 18 animal stickers/6
= 3 animal stickers
For star stickers
30 star stickers.
= 30 star stickers/6
= 5 star stickers
Therefore, the number of stickers that would be in each book is :
3 animal stickers, 4 flower stickers, 5 star stickers
20 points Help I will mark brainliest
Answer:
The answer ia option 2
Step-by-step explanation:
When a line is parallel to the other line, they will have the same slope (gradient).
The new equation will be y = (1/4)x + b.
Next, you have to find the value of b, by substituting the coordinates into the equation :
[tex]y = \frac{1}{4} x + b[/tex]
[tex]let \: x = - 4,y = - 2[/tex]
[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]
[tex] - 2 = - 1 + b[/tex]
[tex]b = - 1[/tex]
pleassssssssssss i need help
How many Solutions does p + 9 = 2p - 3 have?
Answer:
P=12
Step-by-step explanation:
4/3(6y+21)-17>43 help pls
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
Please helpppp........,
Determine the value of x.
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
i am in middle school
Answer:
1. The 12 pack
2. Sargento cheese slices
Step-by-step explanation:
1.
1.80×2=3.60
2.
2.48/10 = .248 → .25
Valerie Watkins is preparing walnut and raisin mix. Walnuts cost $2 per pound and raisins cost $3 per pound. She wants to spend exactly $22.50 for the walnut and raisins, and buy a total of 10 pounds. Solve the linear system where x represents the number of pounds of walnuts and y represents the pounds of raisins. How many pounds of walnuts will she need to buy? X + y = 10 2x + 3y = 22.5
Answer:
7.5 pounds
Step-by-step explanation:
multiply by 3.
3x+3y=30
2x+3y=22.5.
x=7.5.
7.5+2.5=10.
7.5 pounds of walnuts, 2.5 pounds of raisins.
Hope this helps :D
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
Geometry: If you are right I'll give brainliest
Answer:
Step-by-step explanation:
Looks like we both struggle with geometry
Help cri cri will give brainly
Answer:
7/6
Step-by-step explanation:
trust me i promise this is right
CORRECT ANSWER GETS BRAINLIEST!!!!!!!!
I!!!!!!! NEED!!!!!! HEEELLLPP!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Make a equation like 3m+10=37 and solve for m
Answer:
Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.
Step-by-step explanation:
If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers