Answer:
k ≤ -11
Step-by-step explanation:
8 + k ≤ -3
-8 -8
k ≤ -11
Hope this helps!!!
) Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 8 feet more than 3 times the width. He needs 64 feet of fencing to do the job. Find the length and width of the garden.
Answer:
Length is 8feet
Width is 26feet
Step-by-step explanation:
Area of the garden = Length × Width
A = LW
Perimeter = 2(L+W)
If the length of the garden is 8 feet more than 3 times the width, then;
L = 3W+8
Substitute into the second equation
P =2(L+W)
P = 2(3W+8+W)
P = 2(4W+8)
P = 2(4W)+16
If he needs 64 feet of fencing to do the job then;
64 = 8w+16
8w = 64-16
8w = 48
w = 48/8
w = 6feet
Hence the width is 6feet
Get the length
L = 3w+8
L = 3(6)+8
L =18+8
L = 26
Hence the length is 26feet
Rewrite 2x2−x−12 and 1x2−16 as equivalent rational expressions with the lowest common denominator.
Answer:
[tex]\mathbf{\dfrac{2(x+4)}{(x-4)}= \dfrac{(x+3)}{(x-4)}}[/tex] are the rational expressions.
Step-by-step explanation:
To rewrite [tex]\dfrac{2}{x^2-x-12}[/tex] and [tex]\dfrac{1}{x^2-16}[/tex] as equivalent rational expressions
i.e.
[tex]\dfrac{2}{x^2-x-12}=\dfrac{1}{x^2-16}[/tex]
By factorization:
[tex]\dfrac{2}{x^2-4x+3x-12}=\dfrac{1}{(x-4)(x+4)}[/tex]
[tex]\dfrac{2}{x(x-4)+3(x-4)}=\dfrac{1}{(x-4)(x+4)}[/tex]
[tex]\dfrac{2}{(x-4)(x+3)}=\dfrac{1}{(x-4)(x+4)}[/tex]
By multiply both sides with ( x+3) & (x+4), we get:
[tex](x+3) (x+4) \times \dfrac{2}{(x-4)(x+3)}=(x+3) (x+4) \times \dfrac{1}{(x-4)(x+4)}[/tex]
[tex]\mathbf{\dfrac{2(x+4)}{(x-4)}= \dfrac{(x+3)}{(x-4)}}[/tex] are the rational expressions
Answer:
2x+8/(x+3)(x−4)(x+4), x+3/(x−4)(x+4)(x+3)
Step-by-step explanation
PLEASE HELP. Will pick branliest!
Triangle ABC is similar to triangle WYZ. Find the value of the line segment WZ.
Answer:
WZ=4
Step-by-step explanation:
2/5=x/10
cross multiply
20=5x
x=4
Answer:
4, because 10/5 is 2, and then 2 * 2 is 4.
A sorbet recipe says to mix 16 ounces of frozen strawberries with 4 ounces of honey.
Answer:
4 ounces
Step-by-step explanation:
The required ounce of honey for every ounce of strawberries is 0.25 ounces.
Given that,
A sorbet recipe says to mix 16 ounces of frozen strawberries with 4 ounces of honey is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
For the sorbet recipe,
16 ounces of strawberries = 4 ounces of honey,
Dividing both sides by 16
1 ounce of strawberries = 0.25 ounce if hones
Thus, the required ounce of honey for every ounce of strawberries is 0.25 ounces.
Learn more about simplification here: https://brainly.com/question/12501526
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On an airplane, there are two seats on the left side in each row and three seats on the right
side. There are 160 seats altogether.
(a) How many seats are there on the left side of the plane?
(b) How many seats are there on the right side of the plane?
Answer:
a)64
b)96
Step-by-step explanation:
For this we calculate the number of rows, 32, as 2+3 is 5, and 160/5 is 32. Then we know that there are 32 rows, and in each row are 2 left seats and 3 right seats, so we multiply 32 by both numbers for the answers.
Answer:
a64 b 96.
Step-by-step explanation:
.
..........................
explain how to use grid paper to model 0.2 and 0.02. describe any diffrences
Which is an example of discrete data?
A)
speed of a train
B)
number of passengers on a train
weight of a passenger car on a train
D)
amount of fuel in the train's engine
Answer:
I think it's B
Step-by-step explanation:
Just thinking
A.
3(x + 2) = 18
B. 3.2 + 6 = 18
1) How can we get Equation B from Equation A?
A bakery uses 2 lbs of butter to make 5 dozen cookies. How many pounds of butter would be used to make 200 cookies?
Answer:
6.67lbs
Step-by-step explanation:
let's write cookies as C.
we know dozen means 12 so we multiply 5 by 12 to know how many cookies that the bakery uses 2lbs of butter for.
That would be; 2lbs= 5×12 C
2lbs=60C.
now we can find how much butter is used for a single cookie(C) by dividing both sides by 60;
[tex]\frac{2}{60}[/tex]lbs=C;
C= [tex]\frac{1}{30}[/tex]lbs
since we know what C is, we can use that in finding how much butter will be needed for 200 cookies(C)
200C=200([tex]\frac{1}{30}[/tex]lbs)
200C= [tex]\frac{200}{30}[/tex]lbs
200C= 6[tex]\frac{2}{3}[/tex]lbs or 6.67lbs
If bakery uses 2 lbs of butter to make 5 dozen cookies. then 20/3 pounds of butter would be used to make 200 cookies
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A bakery uses 2 lbs of butter to make 5 dozen cookies.
1lb=1 pound
We know that 1 dozen = 12
5 dozen =5 × 12 =60 cookies
We need to find pounds of butter would be used to make 200 cookies.
Let x be the number of pounds butter would be used to make 200 cookies
60/2=200/x
Apply cross multiplication
60x=400
Divide both side by 60
x=400/60=20/3
Hence 20/3 pounds of butter would be used to make 200 cookies
To learn more on Ratios click:
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Geometry hw, im suffering please help me. If you could also explain that'd be great. :)
Answer:
Step-by-step explanation:
when a line is perpendicular to a given line, it uses the opposite reciprocal of the slope (basically flip the top and bottom numbers of the slope fraction and then change its sign from negative to positive or vice versa)
the slope of the given line is 1/4
the opposite would be -1/4
the reciprocal would be -4/1 or just -4
so the slope of this new line is -4
what we know so far is
y = -4x + b
since it has to go through point P (9, -2)
we’ll substitute 9 for x and -2 for y to find b
-2 = -4(9) + b
-2 = -36 + b
34 = b
so the final equation is
y = 4x + 34
What are the 3 consecutive odd integers that have a sum of -3?
Answer:
-3, -1, 1
Step-by-step explanation:
By definition, an integer is a whole number; -3, -1, and 1 fulfill this condition.
-3, -1, and 1 are also odd numbers that follow each other consecutively.
Adding these three integers, you get the sum of -3.
Solve for v.
- 2 + 3y = 13
Answer:
y=5
Step-by-step explanation:
Let's solve your equation step-by-step.
−2+3y=13
Step 1: Simplify both sides of the equation.
3y−2=13
Step 2: Add 2 to both sides.
3y−2+2=13+2
3y=15
Step 3: Divide both sides by 3.
3y/3=15/3
y=5
Answer:
y=5
Step-by-step explanation:
-2+3y=13
+2 +2
3y=15
3y 3y
y=5
Determine the sample space of all of the possible outcomes of choosing a card number 1, 2, 3, or 4 and a blue green or yellow marble. how many outcomes involve choosing a blue marble?
3 out comes pls brainlist
Karen is preparing 4.5 liters of punch. How many
milliliters are in 4.5 liters?
what is 665x53≈
pls help :)
Answer:
35,245
Step-by-step explanation:
Hope this helps!
Answer:
35245
Step-by-step explanation:
The Suarez family paid $12.00 for 3 movie tickets. How much would they have paid for 12 tickets?
Answer:
$48
Step-by-step explanation:
12 divided by 3 is 4 so each ticket costs $4 and 12x4=48
I need the inequality and solution
Answer:
8
Step-by-step explanation:
25 = 6x - 5
what does x =
Answer:
x = 5
Step-by-step explanation:
25 = 6x - 5 (add 5 on both sides)
+5 +5
30 = 6x (divide by 6 on both sides)
5 = x
Hope this helps ya!!
simlify (3-2i)(-4+5i)and leave your answer in i form
Answer:
22-7i
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Choose the appropriate responses.
Which is an equivalent expression for 18c + 144
Answer:
the equivalent expression for 18c+ 144 is 162
Owen and his children went into a restaurant where they sell hotdogs for $4 each and tacos for $2.50 each. Owen has $60 to spend and must buy a minimum of 18 hotdogs and tacos altogether. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Anser:
5 hotdogs and 16 tacos
Step-by-step explanation:
5 x 4 = $20
2.50 x 16 = $40
20 + 40 = $60
The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
O4 square feet
O 8 square feet
O 16 square feet
O 32 square feet
Answer:
16
Step-by-step explanation:
8 × 4 = 32
32 × 1/2 = 16
Hope this helps <3
The equation 3x - 5 = x + 3, rewrite this as TWO equations to solve
graphically.
Answer:
y= 3x - 5
y= x + 3
Step-by-step explanation:
i hope this is right
Dale is on his way home in his car. He has driven 24 miles so far, which is three-fourths of the way home. What is the total length of his drive ?
Answer:32
Step-by-step explanation:
24=(3/4)d multiply both sides by 4/3(the reciprocal) and you get d=32
CAN SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASE HELP MEEE
??????????????????? I do not understand I do not understand I do not understand
which of the following regions if the brain is the largest?
Answer:
forebrain
Step-by-step explanation:
Answer:
Cerebrum???
Step-by-step explanation:
HOPE THIS HELPEDDD:)))
Write the value of the 4. 6.54
Answer:
Hundredths place
Step-by-step explanation:
6 in 6.54 is ones place
5 in 6.54 is tenths place
4 in 6.54 is hundredths
plz mark me brainliest
For which of the following compound inequalities is there no solution?
A)- 3m < 6 and 4m > 24
B)m + 7 < 8 and - 5m 2 10
C)3m +7 27 and -4m +85 – 12
D)3m < – 21 and m + 24 > 19
Answer:
C)3m +7 27 and -4m +85 – 12
Step-by-step explanation:
Jane's family divided up their garden so that 3/4 of the garden will have vegetables. Jane and her sister will plant 3/4 of the vegetable portion of their garden. How much of the family will Jane and her sister plant?
9/16 of the family garden
We can use an equation to solve this:
(3/4) * (3/4) = (9/16)
