1) Divide both sides by-4.
[tex]x < - \frac{6y - 54}{4} [/tex]
2) Factor out the common term 6.
[tex]x < - \frac{6(y - 9)}{4} [/tex]
3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.
[tex]x < - \frac{3(y - 9)}{2} [/tex]
Therefor, the answer for x is x < - 3(y - 9)/2.
Solving for Y:[tex] - 4x + 54 > 6y[/tex]
[tex] \frac{ - 4x + 54}{6} > y[/tex]
[tex] \frac{ - 2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2x - 27}{3} > y[/tex]
[tex]y < - \frac{2x - 27}{3} [/tex]
Therefor, the answer for Y is y < - 2x-27/3.
Alana is cooking a turkey. It takes 4 1/2 h to cook. She checks it every 20 min, or 1/3 h.
How many times will she check it before it is cooked?
Answer:
13 times
Step-by-step explanation:
There are a total of 270 minutes in 4 1/2 hours.
270 ÷ 20 = 13.5
Though we know that 13.5 would not work out.
So she would check on it 13 times.
After the 13th time there will be 10 minutes left to cook the turkey.
The total number of times Alana will check the turkey before it sis done is 13 times.
Rate of work
The rate at which Alana is checking the turkey can be described as the work rate or the rate at which she is doing work.
Number of timesThe total number of times at which Alana will check the turkey before it is done is calculated as follows;
[tex]n = \frac{T}{R}[/tex]
where;
T is the total time = 4 1/2 h = (4 x 60) + 30 min = 270 min
R is the rate = 20 min
[tex]n = \frac{270}{20} \\\\n = 13.5 \ times\\\\n \approx 13 \ times[/tex]
There is no half checking, thus, the total number of times Alana will check the turkey before it sis done is 13 times.
Learn more about rate of work here: https://brainly.com/question/11316046
List 10 7th grade math formulas off the top of your head!
Answer: 1 gallon=4 quarts
1 quart=2 pints
1 pint= 2 cups
1 cup= 8 fluid ounces
1 mile = 1,760 feet
1 yard = 3 feet
1 foot = 12 inches
1 kg = 1,000g
1 liter = 1000 milliliter
1g= 1,000 mg
Step-by-step explanation:
Create an equation that can be used to model the total number of pages, y, that Latrell reads in x hours
Answer:
y=60x
Step-by-step explanation:
write the equation 2x + 6x + y2 - 8y= 19 in standard form
Examine the equation.
–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has
Answer:
infinite solutions
Step-by-step explanation:
Answer:
infinite many solutions.
Step-by-step explanation:
I got it correct in edge
help please i dont get these and please show work if u can thxs
Answer:
Step-by-step explanation:
A = 180°-90°-50° = 40°
Use Law of Sines to find a:
a = b⋅sinA/sinB ≈ 20.1 units
Use Pythagorean Theorem to find c:
c = √(a² + b²) ≈ 31.3 units
:::::
sin(x) = 16/25
x = arcsin(16/25) ≈ 39.8°
Find the area of the trapezoid below.
9
10
21
PLEASE I NEED HELP 10 BRAINLY POINTS
Step-by-step explanation:
I dont know the answer put I know the steps so first find the area of a trapezoid by multiplying the sum of the bases ( the parallel side) by the height .(the perpendicular distance between the bases ) and the last thing you do is divide it by 2 . I hope that I helped and good luck.
Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.
Answer:
150/250
Step-by-step explanation:
Can someone help please i need the correct answer
I will give a brainliest
Answer:
5,600 miles
Step-by-step explanation:
1.1 × 10^4 = 11,000
5.4 × 10^3 = 5,400
11,000 - 5,400 = 5,600
5,600 miles
is the answer to the question give that person brainliest
Work out the value of x.
Answer:
The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.
Step-by-step explanation:
please help !!!
Will this parabola open upward or downward? How can you tell the direction that it opens from looking at the graph?
y = -5x² + 3x - 4
I know the parabola will open downward because the leading coefficient of the equation, being -5, is negative/less than zero.
Guided Practice
Name the set(s) of numbers to which the number belongs.
√5
A.
irrational numbers
B.
rational numbers
C.
integers, rational numbers
D.
whole numbers
Answer:
A.
irrational numbers
Step-by-step explanation:
Name the set(s) of numbers to which each number belongs.
1/33......the number is rational
7........Natural Number....whole number
-20/4=-5........integer
-7.34.........rational
[tex]\sqrt{5}[/tex]......... irrational number
all above numbers belong to the "REALS"
Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
Irrational Numbers, Real Numbers
Answer: A. Irrational Numbers
Step-by-step explanation:
Gradpoint.
4.2.19
Solve the system of equations by substitution.
y= 4x - 13
2x + 3y = 17
The solution is
(Simplify your answer. Type an ordered pair.)
Answer:
x=4, y=3. (4, 3).
Step-by-step explanation:
y=4x-13
2x+3y=17
---------------
2x+3(4x-13)=17
2x+12x-39=17
14x-39=17
14x=17+39
14x=56
x=56/14
x=4
y=4(4)-13
y=16-13=3
Two lines intersect. Find the value of b and c.
bº
42°
Answer:
b=42 degrees
c= 138 degrees
Step-by-step explanation:
B and the 42 degrees shown are congruent angles so therefore both are 42 degrees
To find C: We know that combining the 42 degrees and Angle C would form a flat angle or 180 degree angle, so therefore
subtract 180 with 42 to get Angle C
180-42= 138
Answer:
b=42, c=138
Step-by-step explanation:
B has to equal 42 because b is opposite of the 42º
and since 42+2c+42 has to equal 360, we simplify the expression to get:
84+2c=360,
2c=276
c=138
-6 (-8) Do you multiply or divide do you change the -8 to 8?
Answer:
You multiply the two together and the -8 inside the parenthasese get turned into a positive 8
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!!!
Answer:
The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)
Step-by-step explanation:
Answer:
8 3/10, 8.304, 167/20, 8.92
Step-by-step explanation:
Turn all of them into decimals
8 3/10 = 8.30
8.304
167/20 = 8.350
8.92
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
I will tell D or C but I'm not sure :-\
What is another way to name
ZDEF?
Select each correct answer.
Answer: <FED , <DFE , <EDF
Step-by-step explanation:
Answer:
<FED
Step-by-step explanation:
I've done this problem before.
Help please. Only 20 minutes left.
Answer:
-5
Step-by-step explanation:
Rico complained to his brother that he had to rollover a payday loan seven times before finally saving enough money to pay it off. In the end it cost him $450. What finance charge was Rico paying the payday lender every two weeks if he originally wanted to borrow $250?
Answer:
He had to pay $28.57 seven times.
12. A bacteria culture has 2,000 bacteria. The number of bacteria increases by 5% each hour. How many bacteria are there after 12 hours? Your answer
Answer:
3200
Step-by-step explanation:
5% of 2000 = 100
100 x 12 = 1200
2000 + 1200
= 3200
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 5, 12
A. Acute Triangle
B. Obtuse Triangle
C. Right Triangle
Answer:
C. Right TriangleStep-by-step explanation:
Verify with Pythagorean:
13² = 1695² + 12² = 25 + 144 = 169169 = 169We see the squares are equal, so this is a right triangle.
Correct choice is C
Identify the image of ∆XYZ for a composition of two 90° rotations about point X.
Answer:
The first image is ∆XYZ and the second image is ∆XYZ and the composition of two 90° (180°) rotations about point x
Use prime factorization to reduce the fraction 36/180
Answer:
Step-by-step explanation:
36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3
180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5
[tex]\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}[/tex]
Factors that are common will be cancelled
Johnny must complete 55 hours of community service. She does 5 hours each day. Write a linear equation to represent the hours Yuson has left after x days.
Answer:
55-5x
Step-by-step explanation:
she does 5 hours each day
in x days, hours of service=5x
after x days the hours of service left are=55-5x
the linear equation representing the hours Johnny has left after x days is:
55-5x
Find the area of this parallelogram
15 - 7 + 3 ( 6 + 2) / 2^3 PLEASE SOLVE BY USING A STEP BY STEP SOLUTION
Answer:
11Step-by-step explanation:
PEMDAS
Parentheses first:
15 - 7 + 3 (8) / 2^3
Exponent second:
15 - 7 + 3 (8) / 8
Multiplication:
15 - 7 + 24 / 8
Division:
15 - 7 + 3
Addition:
15 - 4
Subtraction:
11
Answer:
The answer is [tex]{\underline{\boxed{\sf{\purple{4}}}}}[/tex]
Step-by-step explanation:
Solution :
To solve the above equation we will follow the BODMAS rule.
[tex]\small\pink\bull[/tex] BODMAS is an order of mathematic operations.[tex]\small\pink\bull[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\begin{gathered}\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}\end{gathered}[/tex]
Solving the question by bodmas rule :
[tex]\implies\tt{\dfrac{15 - 7 + 3(6 + 2)}{{2}^{3}}}[/tex]
[tex]\implies\tt{\dfrac{15 - 7 + 3(8)}{2 \times 2 \times 2}}[/tex]
[tex]\implies\tt{\dfrac{15 - 7 + 3 \times 8}{4\times 2}}[/tex]
[tex]\implies\tt{\dfrac{15 - 7 + 24}{8}}[/tex]
[tex]\implies\tt{\dfrac{39- 7}{8}}[/tex]
[tex]\implies\tt{\dfrac{32}{8}}[/tex]
[tex]\implies\tt{\cancel{\dfrac{32}{8}}}[/tex]
[tex]\implies\tt{\underline{\underline{\red{4}}}}[/tex]
Hence, the answer is 4.
I need this answered as soon as possible
Answer:
34
Step-by-step explanation:
basically you need to actually put something in the black photo there
Answer:
its black Ф_Ф
Step-by-step explanation:
True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.
Answer:
True
Step-by-step explanation:
Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.
please i need help :
Answer:
C hope this helps
Step-by-step explanation: