Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
!
Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.
The graph of the equations was plotted using geogebra graphing and attached.
Let x represent the hours weightlifting and y represent the hours doing cardio exercises.
Since he spend a maximum of 20 hours, hence:
x + y ≤ 20 (1)
Also, he spends at least 8 of those hours weightlifting, hence:
x ≥ 8 (2)
He wants to spend no more than 15 hours doing cardio exercises, this is:
y ≤ 15 (3)
The graph of the equations was plotted using geogebra graphing and attached.
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i am never able to do these, their so confusing yet SO easy- please help!
Answer:
a) independent: area to be painted in sq ft
dependent: amount of paint needed in gallons
b) independent: amount of milligrams
dependent: amount of sleep
Step-by-step explanation:
Easy tip to remember that is almost always right:
Your X variable is always independent, and your Y variable is always dependent.
If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"
Which variable depends on your other variable? Would help you find your dependent variable.
It makes sense that, the number of paint you need depends on how much sq ft you are painting.
Answer:
a) Independent variable: x (area to be painted)
Dependent variable: y (amount of paint needed)
b) Independent variable: x (amount of medication)
Dependent variable: y (amount of sleep)
Step-by-step explanation:
Independent variables are variables that do not depend on other variables to determine their values.
Dependent variables are variables that depend on other variables to determine their values.
Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2
a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)
f(x) = -x^2+ 6x -10
write each function in vertex form and give the vertex
Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help
Answer:
No.
Step-by-step explanation:
A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.
Can 5 1/3 be written as a fraction of integers?
5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
5 1/3 = 16/3
16/3 is in the form a/b, where a and b are integers.
Since 5 1/3 can be written as a fraction of integers, it is rational.
Anna is incorrect.
Help me with this pls!!!
Solve for x and y. (Geometry)
Can you also show the steps of how u did it
Answer:
y = 10
x = 25
Step-by-step explanation:
From the U theorem the sum of these two angles 120+2x+y = 180
same goes for the bottom part too:
2x-y+140 = 180 now add two equations up
120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)
4x + 260 = 360 subtract 260 from both sides
4x = 100 divide both sides by 4
x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25
2*25 - y + 140 = 180
50 - y + 140 = 180 add like terms
190 - y = 180 subtract 190 from both sides
-y = -10 and y = 10
Plz help. Thank youuu
Answer:
c
Step-by-step explanation:
cause
Tổng các góc của tứ giác bằng bao nhiêu
Answer:
tổng các góc của tứ giác bằng 360 độ
Step-by-step explanation:
ha? what language is that?
Rosalyn is a teacher who plays a review game with her class. The name involves writing each student's name on
an identical slip of paper and selecting students at random Here's the makeup of her class
10th 11th 19
Number of students
18
Suppose that Rosalyn wants 2 different students, so she ples 2 names without replacing names between picks
What is the probability that both students selected are 11th graders!
Round your answer to two decimal places.
Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230
The distribution of students :
11th graders = 1810th graders = 19Total number of students = 18 + 19 = 37Recall :
Probability = required outcome / Total possible outcomesSince, selection is done without replacement :
P(both are 11th graders) = (18/37) + (17/36) = 0.230
Therefore, the probability that the two selected students are 11th graders is 0.230
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What is the slope of a line perpendicular to the line whose equation is x-3y=12x−3y=12. Fully simplify your answer.
Answer:
(2+3y=12) that is the simplify form
I PROMISE BRAINIEST IF YOU HELP ME
Answer:
The associative property
Step-by-step explanation:
:/ wait its u again lol
Solve for n
n - 17=3
Answer:
N=20
Step by Step:
First you add 17 to both of the sides:
N−17+17=3+17
Second, you simplify;
N=20
Brainiest please?
Answer:D
Step-by-step explanation:
There is a raffle at a hockey game and 125 tickets are sold. Maris bought 3 tickets. What percent of the tickets
does Maris have?
Answer:
2.4%
Step-by-step explanation:
Answer:
2.4 percent
Step-by-step explanation:
Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope of line t using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )
m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line u is - [tex]\frac{9}{4}[/tex]
What is 69.15 rounded to the nearest hundredth
Answer:
69.15Step-by-step explanation:
69.15 rounded off to the nearest hundredth is 69.15...
The Elsie Dairy uses a machine that fills 28 cartons of milk an hour. How many will be filled in 6.5 hours?
Answer:
About 182 cartons will be filled in 6.5 hours.
Step-by-step explanation:
Multiply 6.5 by 28 to get 182
Answer:
The answer is 182
Step-by-step explanation:
28 x 6.5 = 182. if the machine fills 28 cartoons in a hour and you leave it running for 6.5 or 6 hours and 30 minutes that will be 182 cartoons filled in that amount of time.
Find 9% of $2005.00
Can anyone answer this ASAP!!!
Step-by-step explanation:
= [tex]\frac{9}{100}[/tex] × [tex]2005[/tex]
= [tex]\frac{3609}{20}[/tex]
= [tex]180\frac{9}{20}[/tex] or 180.45
please give me a brainliest answer
so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer
Answer:
hey do you want money if yes then tell me I will give you 1000$
Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets of 4 digits could it be?
Answer:
500.
Step-by-step explanation:
The last digit must end with 0, 2, 4, 6, 8 for the Pin code to be even.
The middle 2 digits may be any numbers.
So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.
So as there are 5 possible last digits , the total possible sets of digits
= 5 * 100
= 500.
A farmer has a grain bin with 4,000 cubic feet of barley in it. He uses 800 cubic feet to feed his herd of cows. The next day, he buys 800 cubic feet of barley and puts it into the grain bin. How many cubic feet of barley are in the grain bin now?
A) 2,400
B) 4,000
C) 4,800
D) 5,600
Answer:b- 4,000
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It is B because
4000-800=3200
then
3200+800=4000
so he answer is B.4000
whats 7 squared ....................................................
Answer:
[tex]49[/tex]
Step-by-step explanation:
[tex]→7×7[/tex]
[tex]→49[/tex]
What is cos(45°)?
45°
1
Cos (459) = VI?
[]
COS
=
Hint: Remember to rationalize the denominator.
Answer:
[tex]\rm \dfrac{\sqrt2}{2}[/tex]
Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
[tex]\rm\implies cos\theta =\dfrac{base}{hypotenuse} [/tex]
In the given triangle ,
Value of base = 1 Value of hypotenuse = √2On substituting the respective values ,
[tex]\rm\implies cos45^\circ =\dfrac{1}{\sqrt2} [/tex]
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
[tex]\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)} [/tex]
Simplify ,
[tex]\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}[/tex]
Which fraction and decimal forms match the long division problem? 9) 8.000 7 21 80 72 80 72 8 8 A. and 0.8 9 B. 8 and 0.8 O 9 C. and 0.888 8 9 D. and 0.8 8 SUBMIT
Step-by-step explanation:
the answer is B.
yes it is
guys pls help me!!!!!!
Answer:
X = 126
Step-by-step explanation:
180 - 54 = 126
54+x=180
Can anyone help me ?
Answer:
x=7.5
Step-by-step explanation:
15÷2=7.5
solution:
1. A carnival charges $2.50 per
ride
after an entrance fee. You paid a total
of $22.50 after 6 rides and the initial
entrance fee.
a. Write an equation that gives the
total cost as a function of the number
of rides.
1
b. Find the total cost for 10 rides.
Answer:
a. 2.50(6) + X = 22.50
b. $25.00
Step-by-step explanation:
A.
a ride = $2.50
total spent = $22.50
2.50(6) + X = 22.50
15.00 + X = 22.50
X = 22.50 - 15.00
X = 7.50
entrance fee = $7.50
B.
10*2.50= $25.00
Answer:
$22.50
Step-by-step explanation:
:)
7 times a number plus 3 is 38. find the number
Answer:
5
Step-by-step explanation:
7 x 5 = 35
35 + 3 = 38
The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?
Answer:
45:56.25:78.75
Step-by-step explanation:
a triangle=180º total
4+5+7=16
180÷16=11.25
The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The ratio of the interior angles of a triangle = 4 : 5 : 7
Now,
Find the interior angles of a triangle as;
Since, The ratio of the interior angles of a triangle = 4 : 5 : 7
Hence, First angle = 4x
Second angle = 5x
Third angle = 7x
Since, The sum of all the angles in a triangle = 180°
So, We can formulate;
⇒ 4x + 5x + 7x = 180
⇒ 16x = 180
⇒ x = 180/16
⇒ x = 11.25
Thus, First angle = 4x
= 4 × 11.25
= 45°
Second angle = 5x
= 5 × 11.25
= 56.25°
Third angle = 7x
= 7 × 11.25
= 78.25°
Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
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y times 7 then add t expression
Answer:
7y + t
Step-by-step explanation:
