Final answer:
To solve the inequality, simplify the expression and isolate the variable y. The solution is y > 43/37, so the correct answer is option (c).
Explanation:
To solve the inequality 2y - 1/5 - 2 + 7y/15 > 2/3, we can simplify and isolate the variable y. Combining like terms, we have 2y + 7y/15 - 1/5 - 2 > 2/3. Multiplying all terms by 15, we get 30y + 7y - 3 - 30 > 10. Simplifying further, we have 37y - 33 > 10. Adding 33 to both sides, we have 37y > 43. Finally, dividing both sides by 37, we find that y > 43/37.
So the correct answer is option (c), y > 43/37.
Simplify 3(2x-8)-11x
The expression 3(2x-8)-11x simplifies to -5x - 24 by distributing the 3 and then combining like terms.
To simplify the expression 3(2x-8)-11x, we must first distribute the 3 to both terms within the parenthesis and then combine like terms. Here's the step-by-step process:
Multiply 3 by 2x to get 6x.
Multiply 3 by -8 to get -24.
Combine the products from steps 1 and 2 with the -11x.
So, 3(2x-8) equates to 6x-24.
Now, combine 6x - 24 with -11x (6x-24-11x).
Simplify the like terms by subtracting 11x from 6x which gives -5x.
Our final expression is -5x - 24.
Therefore, the simplified expression of 3(2x-8)-11x is -5x - 24.
Can someone help me with this plz?
Answer:
option (4)
Step-by-step explanation:
As a function x can only have one unique value that it maps to.
(1)
(10, 12 ) ← No since (10, 11 ) is already part of the function
(2)
(15, 13 ) ← No since (15, 18) is already part of the function
(3)
(17, 10 ) ← No since (17, 12 ) is already part of the function
(4)
(11, 13 ) ← Yes as no other value with x = 11
In the figure, a || b and m/3 = 34,
What is the m27?
Enter your answer in the box,
Incomplete question the complete question with the figure is below.
Answer:
Therefore,
[tex]m\angle 7=34\°[/tex]
Step-by-step explanation:
Given:
In the figure, a || b
m∠3 = 34°
To Find:
m∠7 = ?
Solution:
Corresponding Angles:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles.
When the two lines are Parallel Corresponding Angles are equal.∠ 3 and ∠7 are Corresponding Angles.
∴ [tex]m\angle 3=m\angle 7[/tex]
But m∠3 = 34
∴ [tex]m\angle 7=34[/tex] ................Transitive Property.
Therefore,
[tex]m\angle 7=34\°[/tex]
Solve the inequality 2n -3 ≥ 5 and graph the solutions
Answer: n ≥ 4
Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation which is to get x by itself on one side of the inequality.
Since 3 is being subtracted from 2n, add 3 to both sides of the inequality to get 2n ≥ 8. Now since n is being multiplied by 2, we need to divide by 2 on both sides of the inequality to get n ≥ 4.
Our next task is to graph n ≥ 4 on a number line and to do that, we start with a closed dot at 4. The reason we use a closed dot at 4 is because not only is n greater than 4 but it's also equal to 4. Next we draw an arrow going to the right on our number line to represent all numbers greater than 4.
When graphed, it should look something like the image attached.
7/12% of a quantity is equal to what fraction of the quantity?
Answer:
12 = 22 × 3
Step-by-step explanation:
The fraction equivalent of 7/12% of a quantity is 7/12000.
Explanation:The question is asking to derive the fraction equivalent of 7/12% of a quantity. In mathematics, a percent is a way of expressing a fractional amount using a ratio whose denominator is 100. Therefore, to convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100.
In this case, 7/12% can be expressed as (7/12)/100. Simplifying this fraction, we get 7/12000, which is the fraction of the quantity that 7/12% represents.
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I don’t know how to do 5/9-5/18. Can you help me do it?
[tex]\bf \cfrac{5}{9}-\cfrac{5}{18}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)5~~-~~(1)5}{18}}\implies \cfrac{10-5}{18}\implies \cfrac{5}{18}[/tex]
A zoo has 15 Emperor penguins. The Emperor penguins make up 30% of all the penguins at the zoo
How many penguins live at the zoo?
Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Answer:
50 penguins
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Looking at the table of sample means which value is the best estimate of the mean of the population?
11.0
12.3
17.3
20.9
Answer:
C
Step-by-step explanation:
Answer:Got it t ght\\======
Step-by-step explanation:
Solve p(x + 9) = r for x.
Answer:x=r/p-9
Step-by-step explanation:
The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
Answer:The length of rectangle is 10.5 units
Solution:Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
[tex]34 = 2(L + 6.5)[/tex]
Thus the equation is found
Solve for "L"
[tex]L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5[/tex]
Thus length of rectangle is 10.5 units
What is the mean?
Round to the nearest tenth if needed.
Value
Frequency
1 2 3 4 5
713 2 2
O 2.4
O
3
•
2
O
7.2
the answer is 2.4
Mean=\frac{\sum fx}{\sum f}
Where:
f is the frequency
x is the value
\frac{3+7+5+6+2+x}{6} =5
23+x=30
x=30-23
x=7
\therefore Mean=\frac{1 \times 7 + 2 \times 1+ 3 \times 3 + 4 \times 2 + 5\times 2}{15}
=\frac{7+2+9+8+10}{15} =\frac{36}{15} =2.4
Therefore, the mean = 2.4
sorry if its a bit confusing
Answer:
Its 2.4
Step-by-step explanation:
Help me pleaseee!!!!!!!!!
Answer:
90°
Step-by-step explanation:
All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.
Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.
You can solve using an equivalent. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.
Let x be the central angle for lemonade
[tex]\frac{25}{100}=\frac{x}{360}[/tex]
Solve for the central angle of lemonade by isolating 'x'. To isolate x, move 360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.
[tex]\frac{25}{100}=\frac{x}{360}[/tex]
[tex]360*\frac{25}{100}=360*\frac{x}{360}[/tex] 360 cancels out on the right
[tex]\frac{360*25}{100}=x[/tex] Combined multiplication in numerator
[tex]\frac{9000}{100}=x[/tex] When dividing, 0s cancel out
[tex]\frac{90}{1}=x[/tex] Simplify fraction over 1
[tex]x = 90[/tex] Answer
Therefore the central angle in the Lemonade section is 90°.
Carlos bought Eight jars of sun dried tomatoes for 36$ how many jars can you buy if she has 18$
Answer:
four four four four four
Answer:
4
Step-by-step explanation:
36 divided by 8 is 4.5
4.5 x 4= 18
The Jacobys kept track of the time they
spent driving on their trip.
Driving Time
DATA
Day
Hours Driving
Monday 5 .3/4
Tuesday 4.3/4
Wednesday 2.1/4
Thursday6.3/4
Part A
Find how many hours the Jacobys drove on
Monday and Tuesday. Draw a bar diagram
to represent the problem
The Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.
Explanation:To find how many hours the Jacobys drove on Monday and Tuesday, we need to add the hours they drove on each day.
On Monday, they drove 5 ¼ hours. On Tuesday, they drove 4 ¼ hours. To find the total number of hours they drove on both days, we add these two amounts:
5 ¼ + 4 ¼ = 10 ¼ hours
So, the Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.
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3x + 1.5=2.5x+4.7 is this no solution, 1 solution, or infinite solutions???
Answer:
6.4
Step-by-step explanation:
#1. 3x+1.5=2.5x+4.7
#2. subtract by 1.5 on both sides
#3. 3x=2.5x +3.2
#4. then subtract 2.5x on both sides because you need all the x'x on one side
#5. .5x= 3.2
#6. then you divide but you should bring the decimal to the right once on both sides
#7. x=6.4
The equation 3x + 1.5 = 2.5x + 4.7 has one solution which is x = 6.4.
Explanation:The equation at hand is 3x + 1.5 = 2.5x + 4.7. To check whether the equation has no solution, one solution, or an infinite number of solutions, we have to solve the equation.
By collecting like terms, 3x - 2.5x = 4.7 - 1.5 will give us 0.5x = 3.2. To isolate x, we simply divide both sides of the equation by 0.5, leading to x = 3.2/0.5 which equals 6.4.
Therefore, the given equation has one solution, and that solution is x = 6.4.
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Julia planet a rectangle garden that is 20 feet long she plays 56 feet of fencing around her Garten what is the width of her Garten what is the area
The width of rectangular garden(b) = 8 feet and
The area of rectangular garden = 160 square feet
Step-by-step explanation:
Given,
The length of rectangular garden(l) = 20 feet and
The perimeter of rectangular garden(fencing) = 56 feet
To find, the width of rectangular garden(b) = ? and
The area of rectangular garden = ?
We know that,
The area of rectangular garden = 2(l + b)
⇒ 2(20 + b) = 56
⇒ 20 + b = 28
⇒ b = 28 - 20 = 8 feet
The width of rectangular garden(b) = 8 feet
∴ The area of rectangular garden = l × b
= 20 feet × 8 feet
= 160 square feet
Hence, the width of rectangular garden(b) = 8 feet and
the area of rectangular garden = 160 square feet
The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet. The calculations were made using the perimeter and area formulas for rectangles.
To find the width of Julia's rectangular garden and its area, we can use the given information:
The garden is 20 feet long, and the total perimeter of the garden is 56 feet.
Step-by-Step Solution:
The formula for the perimeter P of a rectangle is given by:
P = 2L + 2W
where L is the length and W is the width.
We know the following values:
L = 20 feet
P = 56 feet
Substitute these values into the perimeter formula:
56 = 2(20) + 2W
Simplify and solve for W:
56 = 40 + 2W
56 - 40 = 2W
16 = 2W
W = 8 feet
Now we can find the area A of the garden using the formula for the area of a rectangle:
A = L × W
Substitute the values we have:
A = 20 × 8
A = 160 square feet
The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet.
What is being done to the variable in the equation 3 + g = -9?
A. The number 3 is being added to it.
B. The number 3 is being subtracted from it.
C. The number -9 is being added to it.
D. The number -9 is being subtracted from it.
Answer:
its A
Step-by-step explanation:
not gonna explain it cause I dont have to ._. plus it wasnt that hard
examples of reflex action
Answer: putting arms in front when falling to catch self.
Stretching arm out to protect passenger when breaking suddenly
Step-by-step explanation:
Four thousand four hundred ninety two
Answer:
4,492
Step-by-step explanation:
I really don't know the meaning of this question but that's the number.
Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60 degree angle is drawn using one of the sides of the hexagon. 96 StartRoot 3 EndRoot square centimeters 192 StartRoot 3 EndRoot square centimeters 384 StartRoot 3 EndRoot square centimeters 768 StartRoot 3 EndRoot square centimeters
Answer:
The area of the hexagon is A. 96√3 cm²
Step-by-step explanation:
Let's recall the formula of the area of an hexagon, this way:
Area = (3√3/2) * s²
Area = (3√3/2) * 8²
Area = (3√3/2) * 64
Area = 192√3/2
Area = 96√3 cm²
The area of the hexagon is A. 96√3 cm²
Answer:
A. is correct
Step-by-step explanation:
Hope that this helps. Peace and Love
what is the answer to y=3/2x+4 graphing
Please give brainlest and thanks
Answer:The final answer is 4 4
Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.Slope: 3/2
You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed?
equation one: 2x - 3y = 12
equation two: -x + 2y = 13
A. Multiply equation 1 by 2 and equation two by 3. Then add the new equations.
B. Multiply the left side of equation 2 by 2. Then subtract the result from equation 1.
C. Multiply equation 2 by -2. Then add the result to equation 1.
Answer:
B
Step-by-step explanation:
The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.When multoplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).
So, option B is not allowed (it is not allowed to multiply only one part of equation)
Answer:
B
Step-by-step explanation:
your gas bill went up from $125 per month to $150 per month. what is the percent increase of your gas bill?
Answer: $25
Step-by-step explanation: what you need to do is take $150 and take $125 dollars away you will get $25!
Answer:
25
Step-by-step explanation:
25-: 2=50
125 + 25=150
What is the inverse of the fuction f(x)= x+3
Answer:
Inverse of function f(x) is y =x-3
Step-by-step explanation:
Given:
f(x) = (x+3)
To Find:
Inverse of f(x)
Solution:
Inverse of the function:
Let f: X -> Y be a function with domain X and target set Y. Then g is the inverse of f if g is a function with domain Y and target set X such that
g(f(x)) = x for all x in X
f(g(y)) = y for all y in Y.
f has an inverse function if and only if f is both one-to-one and onto. If f is one-to-one and onto, then its inverse function g is defined implicitly by the relation g(f(x)) = x.
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
Let y = f(x) = x+3
So, swapping the variables: y=x+3 becomes x=y+3
Now, solve the equation x=y+3 for y.
y=x−3
y=x−3
Write an equation of a line with the given slope and y-intercept.
m = -5, b = -7
Answer:
Step-by-step explanation:
Equation of line is y = mx + b
m is the slope = -5
b is the y intercept = -7
:- y = -5x - 7
Mr. Torres spent $30.00 to buy 9/1/2 pounds of ground beef and chicken for a family cookout. If the price of ground beef was $4.50 per pound and chicken was $3.00 per pound, how many pounds of each did he buy?
Answer:
Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.
Step-by-step explanation:
i) Let x be the number of pounds of ground beef
ii) Let y be the number of pounds of chicken.
iii) therefore x + y = 9.5 pounds
iv) also we have 4.5 x + 3 y = 30 dollars
v) multiplying the equation in iii) by 3 we get 3x + 3y = 28.5
vi) Subtracting the equation in v) from the equation in iv) we get 1.5 x = 1.5
vii) Therefore x = 1 pound
viii) substituting the value of x in vii) in the equation in iii) we get
1 + y = 9.5 . Therefore y = 8.5 pounds.
ix) Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.
Anna is trying to figure out how much her 10-mile taxi ride is going to cost. It costs $5 to be picked up by the taxi, and
each mile costs an extra $2. Which equation should Anna use to calculate her cost?
Answer:
5+2(10)
Step-by-step explanation:
5+2(10)
5+ 20
$25 for 10 miles
Subtract.
(7x2 + 6) - (2x-5)
Answer: 7x2−2x+11
Step-by-step explanation:
Distribute the Negative Sign:
7x2+6+−1(2x−5)
7x2+6+−1(2x)+(−1)(−5)
7x2+6+−2x+5
Combine Like Terms:
7x2+6+−2x+5
(7x2)+(−2x)+(6+5)
7x2+−2x+11
A parcel is 90 cm x 50 cm x 60 cm. What length of string is required to tie it up, if the string goes round each way twice (in all six rounds) and 50 cm are needed for the knots?
Answer:
88 because I just solved it on a white board
You found a flower club online. In order to belong, you must pay an initial fee of $25. After you have paid the fee, you can buy any flower for $1.25. Does this deal represent a proportional relationship? Explain.
Answer:
No, it does not represent a proportional relationship because it if you were to graph it on a graph the linear line wouldn't pass through the origin, therefor making the ratio from x to y different. Which makes it non-proportional.
Step-by-step explanation: