Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we start with:
L = 14ft
W = 10ft
Then the initial area is:
A = 14ft*10ft = 140ft^2
a) Now she wants to increase the same amount in each measure, then the new measures will be:
L = 14ft + x
W = 10ft + x
Now we want this new area to be twice the one that we got before, then the equation will be:
(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.
b) Let's solve the equation:
(14ft + x)*(10ft + x) = 280ft^2
First lets distribute the multiplication:
140ft + x*10ft + 14ft*x + x^2 = 280ft
Now let's group terms with the same power of x.
x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.
x^2 + 24ft*x - 140ft = 0.
Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.
[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]
Then the two solutions are:
x = (-24ft - 33.7ft)/2 = -28.9 ft
This solution is negative, so it does not make sense and we can discard it.
x = (-24ft + 33.7ft)/2 = 4.85ft
This is positive, so we can use this.
Now we can find the new length and width:
L = 14ft + 4.85ft = 18.85ft
W = 10ft + 4.85ft = 14.85ft
PLEASE HELP!! Please show me work also!
A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?
Answer:
6 hours
Step-by-step explanation:
Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money
Answer:
She originally paid $3.60
Step-by-step explanation:
She originally paid for them $3.60 before the markup of 30%.
We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.
Pls help question is in the pic. Please give a right answer thx :D
Answer:
61.2
Step-by-step explanation:
Select the equation that most accurately depicts the word problem.
Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies.
a. x + 2 = 30
b. x + (x + 2) = 30
c. 2(x + 2) = 30
d. 2x + 30 = 5
Answer:
B. x + (x+2) = 30
Step-by-step explanation:
If x equals pennies, then one part of the statement should include an addition of 2, along with the additions of the value of pennies; and it should all equal 30.
Answer:
B. x + (x + 2) = 30
Step-by-step explanation:
x = number of pennies
y = number of nickels
x + y = 30
y = 30 - x
She has two more nickels then pennies, therefore:
y = x + 2
30 - x = x + 2
30 = x + x + 2
x + (x + 2) = 30
Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?
•Suma?
•Menos?
•Positivo?
•Negativo?
Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo
Step-by-step explanation:
Work out the value of (2x10^4)+(7x10^3) in standard form
Answer:
27000xStep-by-step explanation:
Answer:
27000
Step-by-step explanation:
(2 * 10^4) + ( 7 * 10^3)
rewrite in standard form
20000 + 7000
solve
= 27000
Can's box of chocolates is a rectangular prism. The dimensions are 10 inches by 5 inches by 8 inchesEach chocolate in the box is 2 inches by 2 inches by 2 inches. How many chocolates are in Cam's box
Answer:
I think 50 (not too sure)
Step-by-step explanation:
First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)
Then find the volume of each chocolate which is 8. (2 ·2 ·2)
Then divide 400 by 8 to see how many chocolates can fit.
400 ÷ 8 = 50
And that's how I got the answer! Hope that helped! <3
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
answer the questions lots of points
Answer:
Radius is half of diameter; the distance around a circle.
Step-by-step explanation:
Answer:
Radius is half of diameter the distance around a circle
Given the functions f(x) = x^2 + 6x - 1, g(x) = -x^2 + 2, and h(x) = 2x^2 - 4x + 3, rank them from least to greatest based on their axis of symmetry.
f(x), g(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)
h(x), f(x), g(x)
Answer:
At least to greatest you've got -3, 0, 1 so f(x), g(x), h(x). Answer a
Step-by-step explanation:
ik this is because i am in level 11 grade math
Answer:
h(x), g(x), f(x)
Step-by-step explanation:
I got that value because the axis of symmetry of GX and hx I've got them all the same, one and one the issue comes to the GX where ist has a negative value in front of the X I think when you put a negative value inside a bracket then you Square it you'll get a positive value in the end but since it has a negative value outside then it will be a negative value that is why I considered GX to be smaller than HX but even if I consider GX smaller it's not going to be smaller than FX that is why I got GX and then FX.
Hence, HX then GX then FX
Heeelp Asap please
Has to be turned in at 7
Answer:
I think its 1/2 of the pizza
Step-by-step explanation:
Plz correct me if im wrong
Answer:
its 1/6
Step-by-step explanation:
1/4 of the pizza is left
joe eats 2/3 of the 1/4 which equals 2/12 or 1/6
Pens cost $0.20 each. Pencils cost $0.15 each. Write an algebraic expression that represents the total cost of buying p pens and n pencils. (Will give brainliest if correct)
Answer:
y=0.20p + 0.15n
Step-by-step explanation:
I believe this is correct I am 90% positive that it is right.
The algebraic expression will be C = 0.20 p + 0.15 n
It is given that a pen cost $0.20 and a pencil cost $0.15.
We have to give expression for total cost of p pens and n pencils.
What will be the value if 2 times of x is added to x ?
The value will be 3x.
Cost of 1 pen = $0.20
Cost of p pens will be ;
= 0.20 p
Cost of 1 pencil = $0.15
Cost of n pencils = 0.15 n
If total cost is represented by C then ;
C = 0.20 p + 0.15 n
Thus , the algebraic expression will be C = 0.20 p + 0.15 n
To learn more about algebraic expressions click here ;
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ask me a question. any question. ill probably answer it. unless I'm lazy.
Answer:
What is your fav artist music wise
Step-by-step explanation:
List the least common factor for 120
and 200
Answer: Lcm = 600
Step-by-step explanation: Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
Find the prime factorization of 200
200 = 2 × 2 × 2 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 2 × 3 × 5 × 5
LCM = 600
Answer:
600
Step-by-step explanation:
120= 2*2*2*3*5________eq1
200=2*2*2*5*5_________eq2
we get common factor from 1 and 2
2*2*2*5*3*5 = 600
so the least common factor is 600
Use the number line to complete the task.
Move numbers to the lines to create two absolute value expressions that represent the distance between the two points on the number line,
Expression A: -10 -
Expression B:| -10 + (_
-6
-4
4
6
Answer:
Expression A: |-10 - (-4)|
Expresion B: |-10+4|
Step-by-step explanation:
The distance (which you can get by counting on the numberline) is 6. This mean that the value derived wiithin the absolute value must be either 6 or -6. Answers of 4 and negative 4 get you this answer.
Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape one
Answer:
Answers in step step-by-step explanation.
Step-by-step explanation:
1. 7
2. 0.3
3. 3
4. x = 50 degree
5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)
6. 10.408125
7. 240
8. -29
9. I think 1/4 but double-check.
10. $5.4
Can anyone help me with thiss? I need the solution ASAP! [tex](n − m)2 for m = −3 and n = 7[/tex]
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Algebric Operation,
here, m=-3 and n=7
, after substituting we get as,
(7-(-3))*2
=> (7+3)*2
=>10*2
=>20
hence, final answer is 20
If f(x) = 2x - 3, find f(-2).
Answer:
0.5
Step-by-step explanation:
-2 = 2x - 3
1 = 2x
0.5 = x
Answer:
f(x) = -7
Step-by-step explanation:
f(x) = 2x - 3 turs into
f(x) = 2 x -2 - 3
f(x) = -4 - 3
f(x) = -7
Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6
Answer:
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Step-by-step explanation:
The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
3x+2x-5, for example, is a polynomial.
EXPLANATION
We want to find which of the given polynomials has (x + 2) as a factor.
To do this, we have to equate (x + 2) to 0 and solve for x:
(x + 2) = 0
x = -2
Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Hence, The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
Know more about Polynomials here:
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5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.
Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...
A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)
Answer:
C. f(1)=6; f(n)=f(n-1)+6
Step-by-step explanation:
If the perimeter of a
square is 60 feet, what is
the area of the square?
Answer:
225 ft I believe
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
2 2/6 + 3 2/6?? help pls im dumb
Answer:
5 4/6
Step-by-step explanation:
You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.
-x + 7 <10
Solving inequalities
Answer:
x>-3
Step-by-step explanation:
−x+7<10
Step 1: Subtract 7 from both sides.
−x+7−7<10−7
−x<3
Step 2: Divide both sides by -1.
−x−1<3-1
x>−3
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7flip of mirrored along y-axisreflected imaged is ABCD as givenHelp pls I need help
Answer:
3 3/7
Step-by-step explanation:
8/1 divided by 2 1/3 = 8/1 x 3/7
8/1 x 3/7 = 24/7
24/7 = 3 3/7
What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55
2.55
To find a decimal you need to divide y and x (y/x)
What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.
Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?
Answer:
25
Step-by-step explanation:
The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.
d² = y²+x²
Direction through north (along y-axis)
Direction through east (along x-axis)
Given
y = 7units
x = 24units
Substitute
d² = 24²+7²
d² = 576+49
d² = 625
d = √625
d = 25 units
Hence the total distance Noah traveled to school and back home is 25blocks from post office
whats is 183x194??????????
Answer:
35502
Step-by-step explanation:
The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!