Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
please explain how i would figure out where to place it
Answer:
i cant see it wdym
Step-by-step explanation:
What is sin 28°?
62
17
8
28
90°
15
Answer:
0.4695
Step-by-step explanation:
sin 28° = 0.4695
I don't understand your choices.
p l e a s e a n s w e r r r :))))
Answer:
Ok what do you need help on?
Step-by-step explanation:
Pls help with #14 and #15!!!Asap 15 points
Answer:
14. -g + 10, 15. 12k + 3
Step-by-step explanation:
I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.
If you save $125 each week for 12 weeks, how much will you be able to save?
Answer:
1,500 dollars
Step-by-step explanation:
You would do 125 times 12 = 1,500
Answer:
1,500$ Multiply 12 by 125!
Step-by-step explanation:
Brainliest?
Hiii! My goal is to have a lot of friends and help a lot of people on this app. Sooooo...... if you could friend me, then go to all the question I will ever answer and put 5 stars and like them? Please? It will make my year. :)
Select an equivalent form of the problem below.
log5 25 - log5 100
Answer:
both are wrong
Step-by-step explanation:
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
I WILL GIVE BRAINLIEST PLS HELP PLS PLS PLS
Jada’s friend has a dog that weighs 90 pounds.
Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
How many TIMES greater is the dog's weight, compared to the puppy?
Compare the weight of the puppy and the dog using fractions.
Compare the weight of the puppy and the dog using percentages.
Answer:
1. 1.1 times the weight of the puppy
2. 11/10
3. %110
Step-by-step explanation:
11 x 9 = 99
99/90=1.1
1.1 = 11/10 = %110
What he said ^^
1. 1.1 times the weight of the puppy
2. 11/10
3. %110
Step-by-step explanation:
11 x 9 = 99
99/90=1.1
1.1 = 11/10 = %110
Step-by-step explanation:
Which ordered pairs are solutions to the inequality 2x - y > -4? Check all that apply.
Answer:
(1,-6)
(-2,-5)
(8,2)
(4,0)
Which Graph Shows a Linear Function?!!
Answer:
bottom left
Step-by-step explanation:
...............
Answer:
B
Step-by-step explanation:
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 6, which equation could be used to find its H value?
Answer:
[H^+] = Antilog[-6]
Step-by-step explanation:
Even though the question is incomplete, let us try to correctly derive the equation used to find the hydrogen ion concentration.
pH=−log[logH^+]
-pH = log[H^+]
[H^+] = Antilog[-pH]
Since pH =6
The equation is;
[H^+] = Antilog[-6]
Answer:
logH=−6
Step-by-step explanation:
Substituting the given value into the formula: 6=−logH; −6=logH; 10−6=H; H=0.000001. The equation logH=−6 is a step in the process of finding the H value.
What is the length of each leg of the triangle below?
45
26
90"
45
O A. 1
OB. 13
O C. 13
O D. 18
O E. 26
O F. 135
Answer:
Step-by-step explanation:
SOH CAH TOA
Cos(Ф) =Adj / Hyp
26*Cos(45) = Adj
26*[tex]\frac{\sqrt{2} }{2}[/tex] = Adj
13[tex]\sqrt{2}[/tex] = Adj... and also it's the same for the other leg
sin and cos of 45° are the same
Answer:
13/ 2 squared which is b
Step-by-step explanation:
times 13 by 2 you get 26
How many mg of erythromycin should a 45lb child receive base on the adult dose of 250 mg qid
Compare your estimate to the exact quotient. Does your quotient seem reasonable? Explain your answer. 9 1/3 ÷ 2 3/4
Answer:
(9(3)+1)/3÷(2(4)+3)/4
28/3÷11/4
28/3×4/11
112/33
3.393
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
the ship left port x at 22 45 on friday and arrived at port y at 7 1/4 hours later. at what time and day did the ship arrive at port y?
Answer:
The ship arrived at 5 am on Saturday
Step-by-step explanation:
Here, we want to know at what time and day the ship arrive the second port
we simply need to add the time it left the first port and the amount of time the journey took
Mathematically, that will be;
22:45 + 7 1/4
1/4 is same as 60/4 = 15 minutes
So we have;
22:45 + 7:15
= 5 am on Saturday
What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2
Given:
[tex]\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}[/tex]
To find:
The missing value.
Solution:
Let x be the missing value.
We have,
[tex]\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}[/tex]
[tex]\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}[/tex]
Subtract [tex]\dfrac{9}{10}[/tex] from both sides.
[tex]\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}[/tex]
[tex]\dfrac{x}{5}=\dfrac{15-9}{10}[/tex]
[tex]\dfrac{x}{5}=\dfrac{6}{10}[/tex]
[tex]\dfrac{x}{5}=\dfrac{3}{5}[/tex]
Multiplying both sides by 5, we get
[tex]x=3[/tex]
So, the missing value is 3.
Therefore, the correct option is C.
NEED ANSWERS QUICK! Will give brainliest!!!
Answer:
249x + 1y = 250
Step-by-step explanation:
Answer:
5x + 2y = 250 pencils
Step-by-step explanation:
5 represents the amount in each small box.
2 represents the amount in each large box.
Therefore once you multiply by 5 and x, then multiply by 2 and y you should get the total amount of pencils for the pencils in small boxes and the amount for large sepretally. Then you'd add both of the digits to get the total pencils in all
There are 1920 fence posts used in a 12 kilometer stretch of fence. How many fence posts are used in each kilometer of fence?
Answer:
160 fence posts per kilometer
Step-by-step explanation:
1920/12= 160
30 ⅓ % of 3 plz help me
Answer:
3 / 10 is the answer in fraction and 0.3 is the answer in decimal.
Step-by-step explanation:
hope this answer will help you
have a great time
can someone please help me
solve the system by substitution
2x=y
5x+5y=-15
(?,?)
Answer:
(-1,-2)
Step-by-step explanation:
hope this helps .
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Answer:
800 different sets of digits
Which is the best description for the graph?
A graph decreases through (0, 0) and then increases.
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
The graph is decreasing, then increasing
Answer
d
Step-by-step explanation:
I already know and i did the test
At the start of the year, the balance in a married couple's account is $1,750. They decide to each deposit $35 into the account each month.
Answer number 4 for slope puzzle
22. What is the slope of this line?
y = 3x + 8
(provide and explanation)
Answer:
The slope is 3
Step-by-step explanation:
Y = mx + b
In this formula, mx means the slope so there is no math needed to be worked out.
Answer:
3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Describe the slope of the line. (-3,1) and (2,-2) The slope is _____, find the slope m=?
Answer:
[tex]m = - \frac{3}{5}[/tex]
Step-by-step explanation:
The slope of the line is -3/5 which line passes through points (-3,1) and (2,-2).
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2.
Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
The line passes through the points (-3,1) and (2,-2)
We have,
x₁ = -3, y₁ = 1
x₂ = 2, y₂ = -2
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute the above values in the formula, and we get
The slope of the line = (-2 - 1) / (2 - (-3))
The slope of the line = (-2 - 1) / (2 +3)
The slope of the line = -3/5
Thus, the slope of the line is -3/5 which line passes through points (-3,1) and (2,-2).
To learn more about the slope of the line click here:
brainly.com/question/14511992
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After spending some time looking for his pump, Cesar pumps up an uninflated balloon, pumping air into it at a
constant rate. Before he finishes, the balloon gets loose from Cesar's hand and deflates rapidly.
Which graph could represent this scenario?
Answer: D
Step-by-step explanation: just took the test
Answer:
D
Step-by-step explanation:
A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike after both the discount and 6.25% sales tax.
Answer:
103.125
Step-by-step explanation:
110.00 times 15% = 16.5
16.5 times 6.25% = 103.125
Answer - 103.125
Answer:
With the coupon and sales tax, the bicycle costs $100.38.
Step-by-step explanation:
First, we need to find 6.25% of $110.
110 x 0.0625 = 6.88
Now, let's add this to the total, or $110.
110 + 6.88 = $116.88
After that, we need to find 15% of this total.
116.88 x 0.15 = 17.53
Now, we need to subtract this from the total, which is now $116.88.
116.88 - 16.5 = $100.38
Now, with the coupon and sales tax, the bicycle costs $100.38.
Hope this helps! :D
Which of the following are polynomials?
A. x^2 + x + 1/x^2 + 1
B. 2/x^3 + x + 1/2
C. 2/3x^2 + x + 1
D. x^2/3 + 0x + 1
E. x^3 + 2x + square root of 2
Answer:
The polynomials are:
[tex]\frac{2}{3}[/tex] x² + x + 1 ⇒ C
x³ + 2x +√2 ⇒ E
Step-by-step explanation:
A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
A polynomial never division by a variableA polynomial could be one term, and it could be just a constantLet us solve the question
∵ The polynomial never division by a variable
∵ Answer A and B have a division in variable ⇒ ( [tex]\frac{1}{x^{2}+1 }[/tex] , [tex]\frac{2}{x^{3}}[/tex] )
∴ Answers A and B are not polynomials
∵ The polynomial has integer exponents of variables
∵ Answer D has a fraction exponent of x ⇒ [tex]x^{\frac{2}{3}}[/tex]
∴ Answer D is not a polynomial
∵ [tex]\frac{2}{3}[/tex] x² + x + 1 has a non-negative integer exponent of x
∵ There is no division by x
∴ [tex]\frac{2}{3}[/tex] x² + x + 1 is a polynomial
∵ x³ + 2x +√2 has a non-negative integer exponent of x
∵ There is no division by x
∴ x³ + 2x +√2 is a polynomial
∴ The polynomials are [tex]\frac{2}{3}[/tex] x² + x + 1 and x³ + 2x +√2
Answer:
Step-by-step explanation: