To write the given expression (4f-3+2g)-(-4g+2) in standard form, change the signs of the terms subtracted and combine like terms to simplify to 4f + 6g - 5.
Explanation:To write the expression in standard form, you need to simplify the expression by combining like terms and handling the subtraction of negative numbers properly. Given the expression (4f-3+2g)-(-4g+2), you first remove the parenthesis while changing the signs of the terms inside the parenthesis being subtracted.
The expression -(-4g+2) will become +4g-2 once we apply the rule that subtracting a negative is the same as adding a positive, similarly to the example 2-(-6)=2+6=8.
Now the expression is simplified to 4f - 3 + 2g + 4g - 2. We combine like terms to get 4f + 6g - 5.
The standard form of the given expression is 4f + 6g - 5.
The expression (4f-3+2g)-(-4g+2) can be simplified using the distributive property and combining like terms.
First, distribute the negative sign to the terms inside the parentheses: (-1) * (-4g) = 4g and (-1) * 2 = -2.
The expression becomes (4f-3+2g) + (4g-2).
Next, combine like terms: 4g + 2g = 6g, and -3 - 2 = -5.
The final expression in standard form is 4f + 6g - 5.
Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.
Answer:
you take 0.002 and multiply this by 0.2, to then get your answer of 0.0004
Step-by-step explanation:
The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today? A. 0.15x + 150 ≥ 450 B. 150 – 0.15x ≥ 450 C. 450 – 0.15x ≥ 150 D. 0.15x – 450 ≥ 15
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
The computer store pays its employees $150 per day plus a commission of 15% of their salesTeagan wants to make at least $450 todayWe need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = [tex]\frac{15}{100}[/tex] × x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
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Answer:
you mean A
Step-by-step explanation:
Circle assignment! THANKS so much its worth so much of my grade
Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= [tex]2\pi r[/tex]
Area of circle= [tex]\pi r^{2}[/tex]
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= [tex]2\times 3.14\times 4= 25.12\ cm[/tex]
Area= [tex]3.14\times 4^{2} = 50.24\ cm^{2}[/tex]
Solving for Figure B
Circumference= [tex]2\times 3.14\times 6= 31.4\ cm[/tex]
Area= [tex]3.14\times 5^{2} = 78.5\ cm^{2}[/tex]
Solving for Figure C
Circumference= [tex]2\times 3.14\times 6= 37.68\ cm[/tex]
Area= [tex]3.14\times 6^{2} = 113.04\ cm^{2}[/tex]
Solving for Figure D
Circumference= [tex]2\times 3.14\times 7= 43.96\ cm[/tex]
Area= [tex]3.14\times 7^{2} = 153.86\ cm^{2}[/tex]
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Will has 40 state quarters if 3/5 of his quarters are dated 2005 what is the value of the quarters from 2005?
Will has 24 quarters from 2005, which means the total value of these quarters equals to $6.
Explanation:Will has 40 state quarters in total. If 3/5 of them are from 2005, this simply means that you need to find 3/5 of 40. So, we multiply 40 by 3/5:
40 * 3/5 = 24.
So, Will has 24 quarters from the year 2005.
Next, to find the value of these quarters, remember that each quarter is worth 25 cents (or $0.25 in dollar form). Therefore, we multiply the number of quarters (24) by the value of each quarter (.25):
24 * 0.25 = $6.
So, the total value of the quarters from 2005 is $6.
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Jared deposits $2 into his savings account every day for six weeks. Using the associate
Answer:
(2*7)*6 or 2*(7*6) = $84
Step-by-step explanation:
The associative property would always give the same value as an answer no matter the way of expression, once the expressions are right. So in this case,
Since has saves $2 every day and there are 7 days in a week,
2*7
and save this continously for 6 weeks.
(2*7)*6
This equals $84
OR
7 days in a week for 6 weeks
7*6
and saved $2 per day
2*(7*6)
This equals $84
The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger number.
The larger number is 17
Solution:
Let "x" be the larger number
Let "y" be the smaller number
The difference between of two numbers is 9
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
The large number is one more than twice the smaller number
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
Substitute y = 8 in eqn 1
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
Please answerrrr I need it desperately please EXPLAIN. I WILL PUT YOU AS A BRANLIEST ANSWER IF YOU EXPLAIN AND TRY YOUR BEST!!!!! Good luck and remember to EXPALIN.
Answer:
Option B
see the attached figure
Step-by-step explanation:
we know that
Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0
so
In this problem
The opposite of -1/2 is 1/2
so
point M is 1/2 ----> point M is located in the interval (0,1)
The opposite of 5/2 is -5/2
so
point N is -5/2 ----> point M is located in the interval (-3,-2)
therefore
The correct answer is the option B
Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Final answer:
To find the number of cookies Hans baked on the second day, we solve the equation x + 2x + x/2 = 224, where x is the number of cookies baked on the first day. Solving this, we find x=64, meaning he baked 128 cookies on the second day.
Explanation:
The question involves solving a problem about Hans, who spent three days baking a total of 224 cookies. On the second day, he baked twice as many cookies as on the first day, and on the third day, he baked half as many as on the first day. To find how many cookies he baked on the second day, let's denote the number of cookies baked on the first day as x.
On the second day, he baked 2x cookies.
On the third day, he baked x/2 cookies.
Adding these together: x + 2x + x/2 = 224.
Combining like terms, we get 3.5x = 224.
Dividing both sides by 3.5 gives x = 64.
Therefore, he baked 2x = 2*64 = 128 cookies on the second day.
Simplify the expression. 28 + 18 ÷ 6 • (–3)
19 27 –23 –93
What
percent of 150 is 225?
To determine what percent 225 is of 150, the calculation (225 / 150) × 100% is used, resulting in 225 being 150% of 150.
Explanation:To find what percent of 150 is 225, we can use the formula for calculating percents:
Percentage = (Part / Whole) × 100%
Where 'Part' is 225 and 'Whole' is 150. Now, let's calculate:
Percentage = (225 / 150) × 100%
Percentage = 1.5 × 100%
Percentage = 150%. So, 225 is 150% of 150.
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How many did he have on Monday?
Answer:
He have 17 CDs on Monday.
Step-by-step explanation:
Given:
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.
Now, to find the CDs he have on Monday.
Let the CDs he have on Monday be [tex]x.[/tex]
So, on Tuesday as James bought 7 CDs:
[tex]x+7.[/tex]
Now, on Wednesday half of all the CDs that he had were destroyed:
[tex]\frac{x+7}{2}[/tex]
As, given on Thursday he had left CDs = 12.
According to question:
[tex]\frac{x+7}{2}[/tex] [tex]=12[/tex]
Multiplying both sides by 2 we get:
[tex]x+7=24[/tex]
Subtracting both sides by 7 we get:
[tex]x=17.[/tex]
Therefore, he have 17 CDs on Monday.
If y = 2x - 1 and (3, 5) and (4.7) are part of the pattern then what is the y coordinate of (5, _ )?
Answer:
y = 9
Step-by-step explanation:
Substitute the x- coordinate of the point into the equation and solve for y, that is
y = 2(5) - 1 = 10 - 1 = 9
Thus point is (5, 9 )
Briana has been offered a sales job in another city. The offer was for $42,500 plus 8% of her total sales. In order to make it worth the move, Briana needs to have an annual salary of at least $66,500. What would her total sales need to be for her to move?
Answer:
[tex]Total\ sales\ should\ be=\$ 300000[/tex]
Step-by-step explanation:
[tex]Let\ her\ total\ sale=x[/tex]
Total Earning:
[tex]The\ offer=\$ 42500\\\\Income\ from\ the\ sales=8\%\ of\ total\ sale\\\\Income\ from\ the\ sales=8\%\ of\ x\\\\Income\ from\ the\ sales=\frac{8}{100}\times x\\\\Income\ from\ the\ sales==0.08x\\\\Total\ earning=Offer+Income\ from\ the\ sales\\\\Total\ earning=42500+0.08x[/tex]
Required Earning=$66500
[tex]To\ move\ that\ city\\\\Total\ earning=required\ earning\\\\42500+0.08x=66500\\\\0.08x=66500-42500\\\\0.08x=24000\\\\x=\frac{24500}{0.08}\\\\x=300000\\\\Total\ sales\ should\ be=\$ 300000[/tex]
Her total sales would need to be at least $300,000 for her to move
Step-by-step explanation:
Briana has been offered a sales job in another city
The offer was for $42,500 plus 8% of her total salesBriana needs to have an annual salary of at least $66,500We need to find what would her total sales need to be for her to move
Assume that her total sales is x
∵ The offer was for $42,500 plus 8% of her total sales
∵ Her total sales = x
- To find her annual salary multiply x by 8% and add the
product to $42,500
∴ Her annual salary = 8% × x + 42,500
∵ 8% × x = [tex]\frac{8}{100}[/tex] × x = 0.08 x
∴ Her annual salary = 0.08 x + 42,500
∵ Briana needs to have an annual salary of at least $66,500
- At least means ≥
∴ Her annual salary ≥ 66,500
- Substitute her annual salary by the expression above
∴ 0.08 x + 42,500 ≥ 66,500
- Subtract 42,500 from both sides of inequality
∴ 0.08 x ≥ 24,000
- Divide both sides by 0.08
∴ x ≥ 300,000
∴ Her total sales ≥ $300,000
Her total sales would need to be at least $300,000 for her to move
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Write the expression in complete factored form. 4a(x-9)-7(x-9)=
Answer:
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
Step-by-step explanation:
we have the expression
[tex]4a(x-9)-7(x-9)[/tex]
Factor the term (x-9)
so
[tex](x-9)[4a-7][/tex]
therefore
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
Enzo is making a scale drawing of the rectangle below. A rectangle has a length of 8 centimeters and width of 5 centimeters. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct? Enzo is correct because he used a factor of 2 to enlarge the rectangle. Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension. Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.
Answer:
Enzo is not correct bc he did not multiply the length and width by the same factor
Hopes that helped:P
Answer:
the answer is d
Step-by-step explanation:
like this if you like anime
Rosa enlarged an image on the copy machine. The actual measurement was 3.6 inches by 6 inches. The enlarged version is 6 inches by another measurement. What is the length of the new image?
Answer:
10
Step-by-step explanation
6/3.6=1.6 or 1 2/3
1.6*6=10
Answer:Start by enlarging the picture 2 inches by 3 inches up to 150%. This leads to a 3 inch by 4.5 inch picture. Eduardo wants to enlarge the picture to 4 inches by 6 inches. 4/3 = 1.33 6/4.5= 1.33 Therefore, the two whole number percents are 150% and 133%.
1/3+1/4 I really don’t get this so can someone please help me with this problem
Answer:
7/12
Step-by-step explanation:
You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12
What is the significance of the point of intersection of a pair of simultaneous equations
Answer:
The point of intersection gives the solution set(s) of the associated system.
Step-by-step explanation:
If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).
This could be a unique intersection, only one point or infinitely many intersection.
This gives us the solution of the simultaneous equations.
Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.
Write an equation in slope-intercept form with a slope of 1 and a y-intercept of (0, -7).
Answer:
y = x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 and c = - 7, thus
y = x - 7 ← equation of line
Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.
Answer:
I assume your asking who's is better and why?
Step-by-step explanation:
Ralph has stated that for 1 shirt it will cost
$7.50 + $10 shipping= $17.50
Frank says it's $10 a shirt no shipping
if you work out the cost of Ralph's up to 5 shirts using the equation
($7.50 x number of shirts ) + $10 shipping
with each equation replace number of shirts with the number 1,2,3,4 and 5
1 shirt will cost you $17.50
2 shirts will cost you $25.00
3 shirts will cost you $32.50
4 shirts will cost you $40.00
5 shirts will cost you $47.50
at Frank's shop
1 shirt will cost you $10
2 shirts will cost you $20
3 shirts will cost you $30
4 shirts will cost you $40
5 shirts will cost you $50
Frank's is better to buy no more than 4 shirts from as he's cheaper up to 4 shirts.
Ralph is cheaper for bigger orders with 5 or more shirts in them
The question deals with the comparison of the costs of buying T-shirts from Ralph’s company versus Frank’s company. The cost differs based on the number of T-shirts purchased and the associated shipping fees.
Explanation:The question is asking for a comparison between the two companies selling T-shirts and the associated costs. Ralph's company sells T-shirts for $7.50 each with an additional flat rate of $10 for shipping. In contrast, Frank's company sells T-shirts at a slightly higher price of $10 each but does not charge any shipping fees.
For example: If a customer wants to buy one T-shirt from each company, from Ralph’s company it would cost $7.50 (T-shirt price) + $10 (shipping fee) = $17.50. From Frank’s, it would cost $10 (T-shirt price) since shipping is free. So the cost would be different in both cases. However, if the customer opts to buy multiple t-shirts, the total cost might change depending on the number of t-shirts they decide to buy because of the fixed shipping cost on Ralph's side.
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what is 1.498 divived by 30. plz show your work.
Answer:
[tex]0.0749[/tex]
Step-by-step explanation:
[tex]1.498/30[/tex]
To divide the form directly in fraction divide the numerator and denominator by a common number to simplify the values.
Simplifying the value
Removing the decimal in the numerator makes 1000 in denominator
[tex]\frac{1498}{30}*\frac{1}{1000}[/tex]
dividing by a common value i.e 2
[tex]\frac{749}{10}*\frac{1}{1000}[/tex]
Now, removing the decimals from denominator puts the decimal in the numerator gives [tex]0.0749[/tex]
Answer:
1.498 divided by 30 equals 749/15000 OR 0.04993
Step-by-step explanation:
Simply divide as you would a whole number, but place the decimal point above in your answer. So, your first step would be to calculate how many times 30 goes into 149. Your answer will go two places AFTER your decimal point. Then you continue to solve, as you would a whole number!
PLZ HELP!!! I need the answer by tomorrow. I will give points cuz I don't know how to mark the brainliest.
Answer:
U'(-5, -2), V'(-3, -1), W'(-3, 3), Z'(-5, 6).
Plot these points. Then connect them to form trapezoid U'V'W'Z'.
two friends are taking an English class that has a monthly reading list once a student chooses a book from the list no other student can choose that book if there are three mystery and four romance books left what is the probability that both friend randomly selected romance book one after the other?
Answer:
To find the probability that both friends randomly select a romance book one after the other, we can use the concept of conditional probability.
Let's denote the events:
- Event A: First friend selects a romance book.
- Event B: Second friend selects a romance book.
Given that there are 4 romance books left and a total of 7 books left (3 mystery + 4 romance), the probability of Event A happening for the first friend is:
\[ P(A) = \frac{4}{7} \]
After the first friend selects a romance book, there are now 3 romance books left out of a total of 6 books remaining (since one book has been chosen). So, the probability of Event B happening for the second friend, given that the first friend selected a romance book, is:
\[ P(B|A) = \frac{3}{6} = \frac{1}{2} \]
Now, to find the probability of both events happening, we multiply their probabilities:
\[ P(A \text{ and } B) = P(A) \times P(B|A) \]
\[ P(A \text{ and } B) = \frac{4}{7} \times \frac{1}{2} \]
\[ P(A \text{ and } B) = \frac{4}{14} \]
\[ P(A \text{ and } B) = \frac{2}{7} \]
So, the probability that both friends randomly select a romance book one after the other is \( \frac{2}{7} \).
Veronica tried to solve an equation step by step. \begin{aligned} 8&=y-4.6\\\\ 8+4.6&=y-4.6+4.6&\green{\text{Step } 1}\\\\ 12.6&=y&\blue{\text{Step } 2} \end{aligned} 8 8+4.6 12.6 =y−4.6 =y−4.6+4.6 =y Step 1 Step 2 Find Veronica's mistake.
Answer:
she did not make a mistake
Step-by-step explanation:
Answer:
veronica didn't make a mistake.
Step-by-step explanation:
Which equation can be used to find 40 percent of 25?
Answer:
a=40% · 25
a=0.40 · 25
0.40 · 25= 10
a=10
Step-by-step explanation:
Answer:
Would be 25/10
Step-by-step explanation:
What is 35 divided by 3.14
What is 0.5p - 3.45 = -1.2
How can fishermen save gas
A fishermen can save gas by implementing the strategies Plan Efficient Routes, Maintain Proper Boat Speed, Reduce Idle Time, Optimize Load and Equipment and Regular Maintenance
Fishermen can save gas by implementing the following strategies:
Plan Efficient Routes: By planning their fishing trips in advance and mapping out efficient routes, fishermen can minimize the distance traveled and save on gas consumption.
Maintain Proper Boat Speed: Operating the boat at an appropriate speed can significantly impact fuel efficiency.
Reduce Idle Time: Minimizing idle time while on the water can help save gas.
Optimize Load and Equipment: Carrying excessive weight on the boat can increase fuel consumption.
Regular Maintenance: Keeping the boat and engine properly maintained is essential for fuel efficiency.
Utilize Wind and Tides: When feasible, fishermen can take advantage of wind and tidal currents to reduce reliance on the engine.
Share Resources: Collaborating with other fishermen or joining fishing cooperatives can help share resources and reduce individual fuel consumption.
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Which of the following is an even function?
f(x) = |x|
f(x) = x3 – 1
f(x) = –3x
f (x) = RootIndex 3 StartRoot x EndRoot
Answer: f(x) = |x|
Step-by-step explanation:
A function is even if for every real N, f(N) = f(-N)
As you know, the module of a function always returns the positive value of a number, so I-3I = 3 = I3I (and that for every number)
So the function f(x) = IxI is an even function.
Functions with odd powers can not be even functions, so the second and tird options are discarded.
the fourth functions seems to be:
f(x) =∛x = (x)1/3 which is not even, because if x = 1, f(1) = 1, and if x=-1, f(-1) = -1
In the given functions, an even function is [tex]f(x)=|x|[/tex]. Therefore, the correct answer is option A.
A function's even, odd, or neither properties can be expressed algebraically or graphically in a variety of ways. If a function's graph remains unchanged when reflected in the y-axis, it is said to be an even function. Consider a function f(x) that is considered an even function if f(-x) equals f(x).
1) [tex]f(x)=|x|[/tex]
Let [tex]x = -3[/tex], we get
[tex]f(-3)=|-3|[/tex]
[tex]f(-3)=3[/tex]
[tex]f(-x)= f(x)[/tex]
2) [tex]f(x)=x^3-1[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=(-1)^3-1[/tex]
[tex]f(-1)=-1-1[/tex]
[tex]f(-1)=-2[/tex]
[tex]f(-x)\neq f(x)[/tex]
3) [tex]f(x)=-3x[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=-3(-1)[/tex]
[tex]f(-1)=3[/tex]
[tex]f(-x)\neq f(x)[/tex]
4) [tex]f(x)=\sqrt[3]{x}[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=\sqrt[3]{(-1)}[/tex]
[tex]f(-x)\neq f(x)[/tex]
Therefore, the correct answer is option A.
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solve y= 2/3x +7 and 3y= 2x -3
Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y=\frac{2}{3}x+7[/tex] ----> equation A
[tex]3y=2x-3[/tex]
Isolate the variable y
Divide by 3 both sides
[tex]y=\frac{2}{3}x-1[/tex] ------> equation B
Compare equation A and equation B
Both lines have the same slope and different y-intercept
so
Line A and Line B are parallel lines
The lines do not intersect
therefore
The system has no solution, because both lines are parallel
see the attached figure to better understand the problem