Answers
Related Questions
Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies (x-6)(x+11)=0 it to , where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply
Answers
Answer:
The shorter side is 6 ft and the longer side is 11 ftStep-by-step explanation:
The options are not given, but we could solve and arrive at an answer
say the shorter side is x
and the longer side is x+5
we know that the area of a rectangle is given as
x*(x+5)=66
open the bracket
x^2+5x=66
x^2+5x-66=0
Find two factors of -66 whose sum equals the coefficient of the middle term, which is 5 .
the factors are 11 and -6
splitting the middle term using the two factors 11 and -6
x2 +11x - 6x - 66=0
x(x+11)-6(x+11)=0
(x-6)=0
x=6
(x+11)=0
x=-11
The shorter side is 6 ft and the longer side is 11 ft
Find cosα given that sinα = 5/13 and α is in quadrant II
Answers
Answer:
cos α = - [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since α is in second quadrant then cosα < 0
Using the identity
sin²α + cos²α = 1 then
cosα = - [tex]\sqrt{1-sin^2\alpha }[/tex]
= - [tex]\sqrt{1-(\frac{5}{13})^2 }[/tex]
= - [tex]\sqrt{1-\frac{25}{169} }[/tex]
= - [tex]\sqrt{\frac{144}{169} }[/tex]
= - [tex]\frac{12}{13}[/tex]
5t-18x4=-36 please someone help!!!!
Answers
Step-by-step explanation:
5t -(18x4)=-36
5t-72=-36
5t=-36+72
5t=36
t=36/5
solve: |2x - 1| - 2 = 7
Answers
Answer:
x =5
Step-by-step explanation:
transfer -2 to the other side it turns to +2
|2x-1|=7 +2
2x-1 =9
transfer -1 to the other side it turns to +1
2x=10
Divide both sides by 2
2x /2 = 10/2
x= 5
|2x-1|=5
then youre doing 2 equations
2x-1= 5 2x-1=-5
2x=6. 2x=-4
x=3. x=-2
What is the value of y?
2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i believe it's B on edge! hope this helps!!~ ( ´ ▽ ` )ﾉ
Answer question 1-15 by 6pm
Answers
Answer:
Step-by-step explanation:
It is not really a question we can help you with you have to draw shapes for each 3 letters
The following amount of food in a recipe makes 50 portions, how much will you need in order to
make 150 portions?
18 lb. lamb shoulder
O 6 lb.
o 54 lb.
O 45 lb.
O 9 lb.
Answers
Answer:
54
Step-by-step explanation:
150/ 50 = 3
18 x 3 = 54
Ruby invested $6,200 in an account paying an interest rate of 4.3% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 12 years?
Answers
Answer:
the answer is really
Step-by-step explanation:
10400
The cost of 7 scarves is $68.25. What is the unit price?
Answers
Answer:
The unit price of this item would be *( $9.75 )*
Step-by-step explanation:
Answer:
$9.75
Step-by-step explanation:
68.25/7=9.75
Write a proportion for each situation. Then solve
c. 25 yards in 2 1/2 seconds 100 yards in y second
d. 480 heartbeats in 4 minutes z heartbeats in 1 minute
Answers
Answer:
c. x = 10d. z = 120Step-by-step explanation:
Given proportions
Equations as per ratio and solution for each
c. ..................................
25 ÷ 2 1/2 = 100 ÷ x25 ÷ 5/2 = 100 ÷ xx = 100×5/2÷25x = 10100 yards in 10 seconds
d. ..................................
480 ÷ 4 = z ÷ 1120 = zz = 120120 heartbeats in 1 minute
Answer:
c. y = 10 secs.d. z = 120 heartbeatsStep-by-step explanation:
c. ratio and proportion:
25 yards = 100 yards
2.5 sec. y sec.
cross multiply:
100 (2.5) = 25 (y)
simplify:
y = 250 / 25
y = 10 secs.
------------------------------------------
d. ratio and proportion:
480 heartbeats = z heartbeats
4 mins. 1 min.
cross multiply:
4 (z) = 480 (1)
simplify:
z = 480 / 4
z = 120 heartbeats
Solve for x show work 4(x+1)=-3x-10
Answers
Answer:
x= -2
Step-by-step explanation:
4x+4=-3x-10
7x+4=-10
7x=-14
x=-2
John is running in a 1 km race. If he finishes the race in 350s what was his speed in m/s
Answers
Answer:
187
Step-by-step explanation:
Please help me!!!! Due in 1 hour, whoever helps me will get a brainliest!
Answers
Answer:
1.) The ratio of peaches to oranges 5 : 4
2.) 3 : 12
3.) I have 8 fruits in total, but 2 blueberries. The ratio using numbers would be: 8 : 4
4.)
- 11 : 14
- 14 : 25
- 25 : 11
- 14 : 11
5.) a. False
b. True
c. False
d. True
e. True
Alice is correct. The ratio is 6 : 9 because the question asks what the ratio is of students playing volleyball (6) TO basketball (9).
Hope this helped and I answered on time :)
Step-by-step explanation:
You can buy a skateboard from your friend for $60 and rent a helmet for $2 per hour. Your other option is to rent a skateboard and a helmet for $6 per hour. How many hours must you skateboard so that the costs would be the same? Write an equation.
Answers
Answer:
3 hours if you buy the board and 11 hours if you rent
please answer these questions I have an f if I don't get help I will die
Answers
Answer:
rip just search em up and its kinda blurry sorry
Step-by-step explanation:
PLS IT URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Im sorry because I do not know that.
Step-by-step explanation:
please help with 6 through 11
Answers
Answer:
6. 32
7. 62
8. 512
9. 675
10. 13
11. ⅔
Ollie has $145 in her savings account. She wants to save an additional $35 per week until she reaches $500. Identify the rate of change.
Answers
Answer: $75
Step-by-step explanation:
In his garden tim plants the seed 5 1/4 in. below the ground. After one month the tomato plant has grown a total of 11 1/2 in. How many inches is the plant above the ground?
Answers
Answer:
6 1/4
Step-by-step explanation:
5/m-9 = 8/m+5
Solve the following proportions, while using cross multiplication.
Answers
The Nature of Roots Of a Quadratic Equation help me with these pls
if you answer correctly i'll mark you as brainliest answer
Answers
Problem 1
Answers:
Real = sqrt(49), 5/6, 12.5, 8/12, 225, sqrt(24)/16, sqrt(32)
Not real = sqrt(-20) and sqrt(-16)/9
---------------
Explanation:
Anything involving a square root of a negative number will result in a non-real answer. Anything else is real.
Traditionally y = sqrt(x) has a domain of nonnegative numbers. If x >= 0, then y is some real number. If x < 0, then we'll need to use the imaginary number i = sqrt(-1).
==========================================
Problem 2
Answers:
Rational = sqrt(49), 5/8, 12.5, 8/12, and 225
Irrational = sqrt(24)/16, sqrt(32)
---------------
Explanation:
Ignore the non-real numbers. Focus solely on the real values.
A rational number is where we can write it as a ratio of two integers. An example is 5/8 since 5 and 8 are integers. The denominator can never be zero.
Decimal values that terminate can be written as a fraction. For instance, 12.5 = 125/10.
Square roots of perfect squares are also rational. For example sqrt(49) = 7 = 7/1
Something like sqrt(32) is not rational because we can't write it in the form p/q with p,q being integers. We say it is irrational.
==========================================
Problem 3
Answers:
Perfect Squares = 225
Non-perfect squares = everything else
---------------
Explanation:
A perfect square is of the form x^2, where x is a positive integer.
The only perfect square listed is 225 because 225 = 15^2. Here x = 15.
Note: a perfect square is an integer itself.
==========================================
Problem 4
As discussed earlier, rational numbers are fractions of integers. So we have something of the form p/q where p,q are integers and q is nonzero. An example of a rational number is p/q = 7/8 with p = 7 and q = 8.
Irrational numbers are ones that cannot be written as p/q. A famous example of an irrational number is pi = 3.14, but we could do something like sqrt(17) for instance as well. The stuff under the square root must be a non-perfect square.
Perfect squares are integers in the form x^2, with x being an integer also. A visual way to think of perfect squares is to think of a square with side length x, so its area is x^2. If x = 9, then its area is x^2 = 9^2 = 81, so 81 is a perfect square. We only consider whole number side lengths.
852 divided by 3 ?...........
Answers
Answer:
284
Step-by-step explanation:
Answer:
284
Step-by-step explanation:
In a class full of men and women,2/9
of the class are women. What is the ratio of men to
women in its simplest form?
Answers
Answer:
the ratio of men to women is 7 to 2
Step-by-step explanation:
you have 9 people 7 are men and 2 are women
Answer: this is kinda already the simplest form unless you want to do 1/4.5
Step-by-step explanation:
3. What is the slope and y-intercept of the linear equation y = -7x + 5 ? (2 points)
slope = 1/7
y-intercept = (5,0)
slope = 7
y-intercept = (5,0)
slope = -1/7
y-intercept = (0,5)
slope = -7
y-intercept = (0,5)
Answers
Answer:
slope = - 7, y- intercept = (0, 5 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 7x + 5 ← is in slope- intercept form
with slope m = - 7 and y- intercept c = 5 ⇒ (0, 5 )
help asap
A Dog grooming service takes care of dogs by giving dogs (d) a bath, (b) (Some dogs don't require a bath) cutting its nails (n)( Assume a nail can only be cut partially and cutting their hair H (Measured as a weight in pounds )
6) Which set of numbers best describes the value of the variable? Choose the most specific value.d(# of dogs)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
7)Which set of numbers best describes the value of the variable? Choose the most specific value.b (number of baths)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
8) Which set of numbers best describes the value of the variable? Choose the most specific value.n (number of nails cut. Assume only part of a nail can be cut)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
9) Which set of numbers best describes the value of the variable? Choose the most specific value.H. (wight of hair in pounds)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
Answers
Answer: (6) a (7) b (8) d (9) d
Step-by-step explanation:
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)
d) Rationals: Add terminating and repeating decimals to Integers.
************
e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.
f) Real Numbers: ALL of the above (a - e) are Real numbers.
6) The variable (d) represents the number of dogs. You cannot have a fraction of dog (rational), a negative number of dogs (integer), or zero dogs (whole) so the variable will be a NATURAL number.
7) The variable (b) represents the number of baths. You cannot have a fraction of a bath (rational), a negative number of baths (integer), but you can have zero baths so the variable will be a WHOLE number.
(8) The variable (n) represents the number of nails. You can have a fraction of a nail so the variable will be a RATIONAL number.
(9) The variable (h) represents the number of pounds of hair. You can have a fraction of a pound so the variable will be a RATIONAL number.
Please Help!! I Have Less Than 20 Minutes!!
Answers
Answer:
i think c if not im really sorry
Step-by-step explanation:
What are the quotient and remainder of (2x4 + 5x3 – 2x – 8) + (x+3)?
a. 2x3 - x2 + 3x - 11; 1
c. 2x3 - x2 + 3x - 11; 25
b. 2x4 -x + 3x2 - 11; 25
d. 2x3 - x2 + 3x + 11; 25
Answers
Answer:
option b ) 2x3 - x2 + 3x - 11; 25
Step-by-step explanation:
Write an equation of the line with a slope of -3/4 and y-intercept of -6
Answers
Answer:
Hi there!
Your answer is:
y= -3/4x -6
Step-by-step explanation:
The y int is the constant.
The slope is the coefficient of the X
Hope this helps!
The equation of the line with a slope of -3/4 and y-intercept of -6 is; 4y + 3x = -24.
The slope-intercept form of the equation of a straight line usually takes the form;
y = Mx + cwhere; m = slope and c = y-intercept
Therefore; the equation of the required line is;
y = (-3/4)x + (-6)4y = -3x - 244y + 3x = -24Read more;
https://brainly.com/question/1884491
Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin 25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?
Answers
Answer:
Judah
Step-by-step explanation:
Because the more times you do the same thing over and over again then average it the more accurate it becomes
Colleen divided integer a by −2 and got 8. Then she divided 8 by integer b and got −4. Find the quotient of integer a and integer b.
/ = division
a/b =
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
The first division was ...
a/-2 = 8
Multiplying by -2, we have ...
a = (-2)(8) = -16
__
The second division was ...
8/b = -4
Multiplying by b/-4, we have ...
8/-4 = b = -2
__
Then the quotient of interest is ...
a/b = (-16)/(-2)
a/b = 8