There are 27 purple marbles
Step-by-step explanation:
Let p be the purple marbles
and
w be the white marbles
Then according to given statements
[tex]p+w = 34\ \ \ Eqn\ 1\\p = 4w-1\ \ \ Eqn 2[/tex]
Putting p = 4w-1 in equation 1
[tex]4w-1 +w = 34[/tex]
Adding one on both sides
[tex]5w-1+1 = 34+1\\5w = 35[/tex]
Dividing both sides by 5
[tex]\frac{5w}{5} = \frac{35}{5}\\w = 7[/tex]
Putting w = 7 in equation 2
[tex]p = 4(7)-1\\p = 28-1\\p = 27[/tex]
Hence,
There are 27 purple marbles
Keywords: Linear equation
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1) Does the point (0,4) make either equation true? Substitute it in and find out.
Answer:
The point (0,4) doesn't make either equation true.
Step-by-step explanation:
Consider the equations.
[tex]y=-2x[/tex] and [tex]y=x+3[/tex]
We need to determine the point (0,4) make either equation true.
Substitute x=0 and y=4 in [tex]y=-2x[/tex]
[tex]4=-2(0)[/tex]
[tex]4=0[/tex]
Which is false.
Substitute x=0 and y=4 in [tex]y=x+3[/tex]
[tex]4=(0)+3[/tex]
[tex]4=3[/tex]
Which is false.
Hence, the point (0,4) doesn't make either equation true.
what is
[tex] \frac{5}{7} \times \frac{8}{9} [/tex]
A triangle has an area of 25 square millimeters. A triangular prism, 16 mm long, is built from the
triangle. What is the volume of the triangular prism?
Answer:
[tex]V=400\ mm^3[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular base
L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases
we have
[tex]B=25\ mm^2[/tex]
[tex]L=16\ mm[/tex]
substitute
[tex]V=25(16)[/tex]
[tex]V=400\ mm^3[/tex]
Answer:
The volume of the triangular prism is [tex]400mm^3[/tex]
Explanation :
Area of the triangle = 25 sqmm
Height of the triangle prism = 16mm
Suppose height of the prism is h and breadth is b and length is l
Area= A
Since the formula of volume of prism is
Volume= Area ×height of the prism
= A × h
Substituting the values
= 25×16
=400mm3
The volume of the triangular prism is [tex]400mm^3[/tex]
Equivalent fraction of 15/125
Answer: 30/250 and 45/375 would be two equivalent fractions.
Select all that are x-intercepts of the tangent graph.
Answer:
The answer is pi and 3pi
Step-by-step explanation:
Answer:
pi and 3 pi
Step-by-step explanation:
the second one is: (B) x=pi/2 and (D) x=3pi/2
:)
Clare mixes cups of water with cup of orange juice concentrate.
Han mixes cups of water with cup of orange juice concentrate.
Whose orange juice mixture tastes stronger?
Han's mixture has a higher concentration of orange juice concentrate, it is likely to taste stronger compared to Clare's mixture.
To determine whose orange juice mixture tastes stronger, we can compare the concentration of orange juice in each mixture. The concentration of orange juice can be measured by the ratio of orange juice concentrate to the total liquid volume.
Let's calculate the concentration for each mixture:
For Clare's mixture:
- Water: [tex]\(2\frac{1}{2}\)[/tex] cups
- Orange juice concentrate: [tex]\(\frac{1}{3}\)[/tex] cup
Total liquid volume: [tex]\(2\frac{1}{2} + \frac{1}{3} = \frac{7}{2} + \frac{1}{3} = \frac{21}{6} + \frac{2}{6} = \frac{23}{6}\) cups[/tex]
Concentration of orange juice concentrate in Clare's mixture: [tex]\(\frac{\frac{1}{3}}{\frac{23}{6}} = \frac{1}{3} \times \frac{6}{23} = \frac{2}{23}\) (ratio)[/tex]
For Han's mixture:
- Water: [tex]\(1\frac{2}{3}\)[/tex] cups
- Orange juice concentrate: [tex]\(\frac{1}{4}\)[/tex] cup
Total liquid volume: [tex]\(1\frac{2}{3} + \frac{1}{4} = \frac{5}{3} + \frac{1}{4} = \frac{20}{12} + \frac{3}{12} = \frac{23}{12}\) cups[/tex]
Concentration of orange juice concentrate in Han's mixture: [tex]\(\frac{\frac{1}{4}}{\frac{23}{12}} = \frac{1}{4} \times \frac{12}{23} = \frac{3}{23}\) (ratio)[/tex]
Comparing the concentrations:
- Clare's mixture has a concentration of [tex]\(\frac{2}{23}\)[/tex] orange juice concentrate.
- Han's mixture has a concentration of [tex]\(\frac{3}{23}\)[/tex] orange juice concentrate.
Since Han's mixture has a higher concentration of orange juice concentrate, it is likely to taste stronger compared to Clare's mixture.
The probable question maybe:
Clare mixes 2(1)/(2) cups of water with (1)/(3) cup of orange juice concentrate. Han mixes 1(2)/(3) cups of water with (1)/(4) cup of orange juice concentrate. Whose orange juice mixture tastes stronger? Explain or show your reasoning.
A yoga studio offers memberships that cost $60 per month for unlimited classes. The studio also accepts walk-ins, charging $10 per class. If someone attends enough classes in a month, the two options cost the same total amount. How many classes is that? What is that total amount?
Final answer:
To determine the number of classes at which the total cost for both options is the same, we can set up an equation. When attending 6 classes in a month, the total cost for both options will be the same, which is $60.
Explanation:
To determine the number of classes at which the total cost for both options is the same, we can set up an equation. Let x be the number of classes attended in a month.
For the membership option, the total cost is $60 per month.
For the walk-in option, the total cost is $10 multiplied by the number of classes attended.
Setting up the equation, we have:
60 = 10x
Dividing both sides by 10, we find:
x = 6 classes
So, when attending 6 classes in a month, the total cost for both options will be the same.
Using this value of x, we can find the total amount. For the membership option, it would be $60. For the walk-in option, the total amount is $10 multiplied by 6 classes, which is $60 as well.
If f(x)4^x-8 and g(x)=5x+6, find (f+g)(x)
Answer:
Answer:
The value of (f-g)(x)=4^x-5x-14
Step-by-step explanation:
Given : If f(x) = 4^x-8 and g(x)=5x+6
To find : The value of (f - g)(x)?
Solution :
f(x) = 4^x-8
g(x)=5x+6
We can write, (f-g)(x)=f(x)-g(x)
Substitute the value of f(x) and g(x)
(f-g)(x)=4^x-8-(5x+6)
(f-g)(x)=4^x-8-5x-6
(f-g)(x)=4^x-5x-14
Therefore, The value of (f-g)(x)=4^x-5x-14
Plz mark brainliest
what is (8,1) and (-3,5) in slope intercept form?
51/70 = x/100 Please answer I need help
Answer:
x=510/7
Step-by-step explanation:
51/70=x/100
cross product
70*x=51*100
70x=5100
x=5100/70
x=510/7
x =72.86. This means that 51 out of 70 is equivalent to 72.86%.
51/70 = x/100.
51 * 100 = 70 * x.
5100 = 70 x
5100 / 70 = x.
The result is x = 72.86.
So, x = 72.86.
This means 51 out of 70 is equivalent to 72.86 out of 100 as a percentage.
What is a symmetry? In math terms
Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.
Final answer:
Symmetry in mathematics refers to an object's balanced or invariant properties under transformations like reflection, rotation, or translation. It is significant in physics for understanding conservation laws and is observed in various aspects of nature and art, providing balance and stability.
Explanation:
Symmetry is a fundamental concept in mathematics, physics, and the natural world. It implies that an object or system possesses a form of invariance or balance under certain transformations, such as reflection, rotation, or translation. In mathematical terms, symmetry refers to a situation where a figure can be manipulated in various ways, such as being flipped over a mirror plane (reflective symmetry), rotated around a central point (rotational symmetry), or shifted along a direction without changing its appearance (translational symmetry).
An example of symmetry in nature is bilateral symmetry, where an object can be divided into two symmetrical parts across a unique plane. This type of symmetry is easily observed in some living organisms, like humans, who have a left and right side that are mirror images of each other. In the realm of physics, symmetry plays an impactful role, especially in the study of sub-atomic particles through the use of particle accelerators like the Large Hadron Collider at CERN. Emmy Noether's work highlighted the deep connection between symmetries and conservation laws, illustrating the significance of symmetry in understanding the foundational principles of our universe.
In art, symmetry is associated with balance and harmony. Symmetrical balance is visually stable, often featuring compositions that are identical, or nearly so, on either side of a central axis. Optical devices, such as mirrors and lenses, also exploit principles of symmetry, with their function heavily dependent on a specific optical axis to guide light appropriately.
help it's everfi need help
the answer would be 750
A meteorologist forecasted that Monday's high temperature would be 76°F. On Monday,
the temperature reached 80°F.
What is the percent error in the meteorologist's forecast for Monday?
The percent error in the meteorologist's forecast for Monday is 5.26316 %
Solution:Given that Monday's high temperature would be 76°F
On Monday, the temperature reached 80°F
To find: percent error in the meteorologist's forecast for Monday
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
The percent error is given as:
[tex]\text {percent error }=\frac{\text {observed - standard}}{\text { standard value}} \times 100[/tex]
Here standard value = 76 and observed value on monday = 80
[tex]\text { percent error }=\frac{80-76}{76} \times 100[/tex]
[tex]\text { percent error }=\frac{4}{76} \times 100=5.26316 \%[/tex]
Thus percent error in the meteorologist's forecast for Monday is 5.26316 %
Answer:
5%
Step-by-step explanation:
i got it right
The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.
What is its area?
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)
[tex]72=2(l+10)[/tex]
[tex]72=2l+20[/tex]
subtracting both sides from 20:
[tex]72-20=2l+20-20[/tex]
[tex]52=2l[/tex]
Dividing both sides by 2:
[tex]52\div2=2l\div2[/tex]
[tex]26=l[/tex]
Length is 26 feet.
And, to get the area we put the formula of finding the area:
[tex]Area=length\times width[/tex]
[tex]Area=26\times 10[/tex]
[tex]Area=260[/tex]
Therefore, the area of the rectangular playroom is 260 feet² .
Final answer:
To determine the area of the rectangular playroom at Miss Pittypat's Day Care, we calculate the length using the perimeter and width provided, then multiply the length by the width. The playroom's area is found to be 260 square feet.
Explanation:
The question involves calculating the area of a rectangle when given the perimeter and the width. To find the length, we first use the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since the perimeter is given as 72 feet and the width is 10 feet, we can solve for the length:
72 = 2l + 2(10)
72 = 2l + 20
52 = 2l
l = 26 feet
Once we have the length, we calculate the area by multiplying the length by the width:
Area = l × w
Area = 26 ft × 10 ft
Area = 260 square feet
Therefore, the area of the rectangular playroom is 260 square feet.
Griffin brought back 3/4 pound of chocolate from his vacation. He wants to share it with his friends. Each Person will receive 1/8 pound. How many servings can griffin create in all? Use the model to help you solve the problem. Then write a sentence to describe your answer.
Answer:
6
Step-by-step explanation:
(3/4)/(1/8)=(3/4)(8/1)=3*2/1=6/1=6
Oliver is doing a study on age and shoe size. He has collected the data shown above.
Do the ordered pairs (x, y) he has collected form a function?
A) Cannot be determined
B) Yes, because for every x there is only one y.
C) Yes, because for every y there is only one x.
D) No, because for some x's there are more than one y's.
Eliminate
Age and Shoe Size
x (age) y (size)
8 7
9 8
10 9
8 9
14 9
15 11
10 10
33 9
27 9.5
45 10.5
Answer:D) No, because for some x's there are more than one y's.
Step-by-step explanation:The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2
different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.
Answer:
the answer is D
Step-by-step explanation:
Please help with 22 I will give brainliest
Answer:
5 is the greatest number of cups we can make.
Step-by-step explanation:
Given: 50 red bears, 25 blue bears and 35 green bears.
Now, finding the greatest number of cups we can make with same number of each colour in cups.
∴ we will be using greatest common factor (GCF) to know the number of cups.
[tex]50= 5\times 5\times 2\\\\25= 5\times 5\\\\35= 5\times 7[/tex]
∴ [tex]GCF= 5[/tex]
5 is the greatest number of cups we can make with same number of each colour.
During halftime of a football game a slingshot launches T-shirts at the crowd a T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 ft./s the T-shirt is cot 45 feet above the field how long will it take the T-shirt to reach the maximum height what is the maximum height what is the range of the function that models the height of the T-shirt overtime
Answer:
2.25 seconds
87 feet
[6, 87]
Step-by-step explanation:
The height of a projectile is:
h(t) = -16t² + vt + s
where v is the initial vertical velocity and s is the initial height.
Here, v = 72 and s = 6.
h(t) = -16t² + 72t + 6
This is a downwards parabola. The maximum is at the vertex.
t = -b / (2a)
t = -72 / (2×-16)
t = 2.25
h(2.25) = 87
It takes 2.25 seconds to reach the maximum height of 87 feet.
The range is from the lowest height (6 feet) to the maximum height (87 feet). In interval notation:
[6, 87]
Final answer:
This response explains the time to reach maximum height, calculates the maximum height, and determines the range function for the projectile motion of the T-shirt launched by a slingshot during halftime at a football game.
Explanation:
Maximum Height Calculation:
Find the time taken to reach the maximum height using the formula: t = V₀/g, where V₀ is the initial velocity and g is the acceleration due to gravity.Substitute the values: t = 72 ft./s / 32 ft./s² = 2.25 seconds.Calculate the maximum height using the formula: H = V₀t - 0.5gt².Substitute the values: H = 72 ft./s x 2.25 s - 0.5 x 32 ft./s² x (2.25 s)² = 81 feet.Time to Reach Maximum Height: 2.25 seconds
Maximum Height: 81 feet
Range Function: The range function (horizontal distance) can be determined using the formula: R = V₀t, where V₀ is the initial velocity and t is the time taken to reach the maximum height.
Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo sent 2 times as many
messages as Keisha. How many messages did they each send?
Number of text messages Kelsha sent:
Number of text messages Miguel sent:
N
aftavt mes Pablo sent:
Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Step-by-step explanation:
Total messages sent = 69
Let,
Messages sent by Keisha = x
Messages sent by Miguel = y
Messages sent by Pablo = z
According to given statement;
x+y+z=69 Eqn 1
y=x+5 Eqn 2
z=2x Eqn 3
Putting Eqn 2 and 3 in Eqn 1
[tex]x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64[/tex]
Dividing both sides by 4;
[tex]\frac{4x}{4}=\frac{64}{4}\\x=16[/tex]
Putting x=16 in Eqn 2
[tex]y=16+5=21[/tex]
Putting x=16 in Eqn 3
[tex]z=2(16)=32\\[/tex]
Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Keywords: addition, linear equation
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There are 3 blobs per $1.50 what is 6 blobs per _____
Answer:
$3
Step-by-step explanation:
3 blobs for 1.50
that means 1 blob is (1.50 / 3) which is 50 cents per blob
0.50 * 6 = 3 dollars for 6 blobs
The question is about cost ratios. Given that 3 blobs are worth $1.50, a single blob is worth $0.50. Therefore, 6 blobs would cost $3.00.
Explanation:The question is asking about cost ratios. In the presented situation, there are 3 blobs for every $1.50. We can say that the cost of one blob is $1.50 divided by 3, which is $0.50. If we are looking for the cost of 6 blobs, we simply multiply the cost of one by 6, which gives us $3.00. Therefore, 6 blobs cost $3.00.
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(x2 - x - 2) ÷ (x - 2)
Can someone please explain how to solve this problem in detail because I am having trouble understanding the process to solve this problem?
Answer:
(x+1)
Step-by-step explanation:
(x^2-x-2)/(x-2)=(x+1)
Because (x-2)(x+1)=x^2-2x+x-2=x^2-x-2.
Answer:
x + 1
Step-by-step explanation:
(x² − x − 2) / (x − 2)
Factor the numerator. Using the AC method:
ac = (1)(-2) = -2
Factors of -2 that add up to -1 are -2 and 1
Divide by a and reduce: -2/1 and 1/1
The factors are (x − 2) and (x + 1)
(x − 2) (x + 1) / (x − 2)
Divide:
x + 1
A gas station sells m gallons of gasoline fuel at $3.80 per gallon and n gallons of diesel fuel
at $4.25 per gallon.
Write an equation relating m and n if the gas station sells fuel worth $23,250.
Show your work
Answer:
3.8m+4.25n=23250
Step-by-step explanation:
To express the total sales of gasoline and diesel fuel worth $23,250, the equation is: 3.80m + 4.25n = 23,250, where m is the gallons of gasoline sold and n is the gallons of diesel sold.
The question asks for an equation that represents the total sales of fuel worth $23,250, where m gallons of gasoline are sold at $3.80 per gallon and n gallons of diesel fuel are sold at $4.25 per gallon. To find this equation, we can multiply the number of gallons of each fuel type by its respective price per gallon and set the sum equal to the total sales value.
Therefore, the equation is: 3.80m + 4.25n = 23,250.
This equation signifies that the revenue generated from selling m gallons of gasoline at $3.80 per gallon plus the revenue from selling n gallons of diesel at $4.25 per gallon equals $23,250.
Given:
3х — 7 fоr x>0
2х + 3 fоr x < 0
Find: f(6) =
a. 11
b. 9
c. 3
d. 18
Option a. 11 is the right answer
Step-by-step explanation:
To find the value of a function on particular input, the value is put in the function in place of variable
Given function is:
[tex]f(x) = \left \{ {{3x-7\ \ \ x>0} \atop {2x+3\ \ \ x<0}} \right.[/tex]
As we have to find f(6) and x>0 the part of function 3x-7 will be used
so,
[tex]f(6) = 3(6)-7\\= 18-7\\=11[/tex]
Hence,
Option a. 11 is the right answer
Keywords: Functions, Variables
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A movie theater sends out a coupon for 85% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation is y=__________
(Use integers or decimals for any numbers in the expression).
Answer:
[tex]y=0.15x[/tex]
Step-by-step explanation:
Given:
Original price of the ticket is [tex]x[/tex]
Price after using the coupon is [tex]y[/tex]
Coupon discount is 85% of [tex]x=0.85x[/tex]
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,
[tex]y=x-0.85x=x(1-0.85)=0.15x\\\therefore y=0.15x[/tex]
The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line [tex]y=0.15x[/tex] strictly remains in the first quadrant as both [tex]x[/tex] and [tex]y[/tex] can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of [tex]x[/tex] and [tex]y[/tex] positive.
given f(x)= -3/4x-6 and its domain: (-8, 0, 4) what is the range of the function?
The range of function is { 0, -6, -9}
Solution:Given that the function is:
[tex]f(x) = \frac{-3}{4}x - 6[/tex]
Also given its domain is (-8, 0, 4)
To find: Range of the function
Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)
As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the x
For x = 8:
[tex]f(-8)=\frac{-3}{4} \times(-8)-6=6-6=0[/tex]
[tex]f(-8)=0[/tex]
For x = 0:
[tex]\begin{array}{l}{f(0)=\frac{-3}{4} \times(0)-6=-6} \\\\ {f(0)=-6}\end{array}[/tex]
For x = 4:
[tex]\begin{array}{l}{f(4)=\frac{-3}{4} \times(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}[/tex]
Thus the range of function is { 0, -6, -9}
If 12,000 people voted in the election how many were from 50 to 64
Tonya pays 300$ Each month to rent an office where she earns 25$ an per hour tutoring students. Which equation represents Tonyas profit,y, for working x for hours
Answer:
25x+300=y
Step-by-step explanation:
The equation represents Tonya's profit, y, for working x for hours is
y = 25x - 300
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Tonya's profit will depend on how many hours she works and how much she earns from tutoring.
Let's assume she works x hours, then she earns 25x dollars from tutoring.
However, she also has to pay the monthly rent of $300 regardless of how many hours she works.
Therefore, her profit y can be calculated as follows:
y = 25x - 300
This equation takes into account both her revenue (25x) and her expenses (the fixed cost of $300 for rent), and gives us her profit as the difference between the two.
Thus,
The equation represents Tonya's profit, y, for working x for hours is
y = 25x - 300
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Solve absolute value equations and show work step by step please due tomorrow
Answer:
12) x = 10 or x = -10
13) b = 3 or b = -3.
14) r = 6 or r = -2
15) n = 0 or -2
Step-by-step explanation:
12) Given, 4|x| + 3 = 43
Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x
So, for x ≥ 0, the equation becomes 4x + 3 = 43
⇒ 4x = 40
⇒ x = 10
Again, for x < 0, we have - 4x + 3 = 43
⇒ - 4x = 40
⇒ x = - 10
Therefore, the solution of the equation is x = 10 or x = -10. (Answer)
13) Given, 3|b| + 5 = 14
Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b
So, for b ≥ 0, the equation becomes 3b + 5 = 14
⇒ 3b = 9
⇒ b = 3
Again, for b < 0, we have - 3b + 5 = 14
⇒ - 3b = 9
⇒ b = - 3
Therefore, the solution of the equation is b = 3 or b = -3. (Answer)
14) 9|2r - 4| + 1 = 73
Now, for 2r - 4 ≥0 i.e. r ≥ 2, then
9(2r - 4) + 1 = 73
⇒ 2r - 4 = 8
⇒ 2r = 12
⇒ r = 6
Again, for (2r - 4) < 0 i.e. r < 2, then
9(4 - 2r) + 1 = 73
⇒ 4 - 2r = 8
⇒ 2r = - 4
⇒ r = -2
Hence, the solutions are r = 6 and r = -2 (Answer)
15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then
1 + 4(10n + 10) = 41
⇒ 10n + 10 =10
⇒ 10n = 0
⇒ n = 0
Again, for 10n + 10 < 0 i.e. n < -1, then
1 - 4(10n + 10) = 41
⇒ 10n + 10 = - 10
⇒ 10n = -20
⇒ n = -2
Hence, the solution is n = 0 or -2 (Answer)
Rearrange w=3(2a+b)-4 to make a the subject
Answer:
a = [tex]\frac{w + 4 - 3b}{6}[/tex]
Step-by-step explanation:
Given
w = 3(2a + b) - 4 ( add 4 to both sides )
w + 4 = 3(2a + b) ← distribute parenthesis
w + 4 = 6a + 3b ( subtract 3b from both sides )
w + 4 - 3b = 6a ( divide both sides by 6 )
[tex]\frac{w+4-3b}{6}[/tex] = a
1. The y-coordinate for an ordered pair in the solution set of
x+2y=11 is 4. Find the x-coordinate.
(1) 3
(2) 5
(3) 7
(4) 9
please help lol
Answer:
A) x=3
Step-by-step explanation:
x+2y=11
x+2(4)=11
x+8=11
x=11-8
x=3