There is no requirement in the question. I'll calculate the area of the rectangle to help you with this question.
Answer:
[tex]A=15\ cm^2[/tex]
Step-by-step explanation:
System of Equations
Let's call y to the length of a rectangle, x to its width. There are two conditions that will help us to solve for x and y.
The length is four less than three times the width. That is written as:[tex]y=3x-4[/tex]
The perimeter of the rectangle is 16 cm. The equation for this condition is:[tex]2x+2y=16[/tex]
Divide by 2:
[tex]x+y=8[/tex]
To solve the system, we'll substitute the y in the first equation into the second:
[tex]x+3x-4=8[/tex]
Joining like terms:
[tex]4x=8+4[/tex]
Solving:
[tex]x=12/4=3[/tex]
Find the value of y:
[tex]y=3x-4=3*3-4=9-4=5[/tex]
Thus, the length of the rectangle is 5 cm and its width is 3 cm. The area is calculated as:
[tex]A=xy=3\ cm\cdot 5\ cm=15\ cm^2[/tex]
[tex]\boxed{A=15\ cm^2}[/tex]
In the function y=-3x^2+1 what effect does the negative sign have on
the graph, as compared to the graph of Y=x^2 help please
Answer:
The negative sign in the function will make it a downward-opening parabola, and its vertex will be its highest point.
Answer:
It reflects the graph across x-axis
Step-by-step explanation:
It's a vertical reflection.
Two points,L and N are 160 m apart. M lies on the straight line joining L and N. An object travels from L to M at an average speed of 10 m/s in 6 seconds and then from M to N at an average speed of 25 m/s. Find the average speed of the object for it's entire journey from L to N.
Answer:
16m/sStep-by-step explanation:
If the object travels from L to M at an average speed of 10 m/s in 6 seconds, we can get the distance LM using the formula;
Speed = Distance/Time
Distance = Speed * Time
Distance = 10 * 6
Distance = 60m
Hence LM = 60m
Since LN = LM + MN
160 = 60 + MN
MN = 160-60
MN = 100m
If the object moves from M to N at an average speed of 25 m/s througj a distance od 100m, the time taken will be expressed as;
Time = distance/speed
Time = 100/25
Time = 4secs
Total time taken to move from L to N is 6secs + 4secs = 10secs
The average speed of the object for it's entire journey from L to N will be:
Average speed = Distance LN/10
Average speed for the entire journey = 160/10 = 16m/s
Hence the average speed of the object for it's entire journey from L to N is 16m/s
You are considering buying a 30-year U.S. Treasury bond but are nervous about the effect on bond price if the yield to maturity on the bond increases. The bond has a 3% coupon rate and pays coupons semi-annually. The duration is 19 years. Suppose that interest rates on this bond rise by 0.9%. Calculate the corresponding percentage change in the price of the bond using the approximation method based on bond duration.
Answer:
The corresponding change in bond price = 17.1%
Step-by-step explanation:
In this question, we are interested in calculating the percentage change in the bond price using the approximation method based on bond duration;
Mathematically;
% change in bond price = Duration * Change in yield
From the question;
Duration = 19 years
Change in yield = 0.9%
Thus;
% change in bond price = 19 * 0.9% = 17.1%
When baking soda and vinegar react, the surface bubbles. What does this most likely indicate?
a chemical change, because a precipitate is being formed
a chemical change, because a gas is being formed
a non-chemical change, because a precipitate is being formed
a non-chemical change, because a gas is being formed
Answer:
the answer is B
A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over.
Answer: They are 59 members in the band
Step-by-step explanation:
given data:
when lined up in 3 = 2 left.
when lined up in 4 = 3 left
when they are lined up in 5 = 4 left
when they are lined up in 6 = 5 left
Solution:
From the given data, we know the band number ends with 9, so we start with 9,29,49,59. We test till we arrive at our desired answer.
59/3 = 19 R 2.
59/4 = 14 R 3.
59/5 = 11 R 4.
59/6 = 9 R 5.
They are 59 members in the band.
A school is having a pizza party. Each pizza is cut into 12 slices. Which explains whether it is better to estimate a greater or lesser number than the actual number of people that will eat pizza?
A.
It is better to estimate a lesser number of people so the school can save money by ordering fewer pizzas.
B.
It is better to estimate a greater number of people to make sure there is enough pizza for everyone.
C.
It is better to estimate a lesser number of people to make sure there will not be extra pizza that will get thrown away.
D.
It is better to estimate a greater number of people because they can return any extra pizza that does not get eaten.
Answer: I think B
Step-by-step explanation:
Answer:
It is better to estimate a greater number of people to make sure there is enough pizza for everyonehow would i put this into a fraction; 0.0765
Answer:
153/2000
Step-by-step explanation:
0.0765 is the same as 765/10000
765 divided by 5/10000 divided by 5
equals 153/2000
What is the solution to p+1/2 = 3p + 7/5? Help would be appreciated. Do your best pls
Answer:
p = -9
Step-by-step explanation:
So, we need to find the value of p.
Please refer to the ATTACHMENT.....I hope it will help.sixty-six subtracted from a number p
Solve the inequality. Graph the solution.
3d−7d+2.8<5.8−27
Answer:
Step-by-step explanation:
Z>6
The solution to the given inequality would be d > 6, which is shown in the graph with the red line.
Given that,
The inequality to solve,
3d - 7d + 2.8 < 5.8 - 27
Used the concpet of expression for solving by using combining like terms and applying the operations addition, subtraction, etc.
Here, the inequality is,
3d - 7d + 2.8 < 5.8 - 27
Combine like terms,
- 4d + 2.8 < 5.8 - 27
Subtract 2.8 on both sides,
- 4d < 5.8 - 2.8 - 27
- 4d < 3 - 27
- 4d < - 24
Multiply both sides by - 1,
4d > 24
It can be written as,
4d - 24 > 0
4 (d - 6) > 0
d - 6 > 0
Therefore, the solution to an inequality is,
d > 6
And, the graph of solution d > 6 is shown in the attached image.
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If I subtract the square root of 10 and -4, my answer will be
root(10)+4
......
you cant simplify it
HELP ASAP
Which expression is equivalent to this polynomial?
4x^2+27
THE ANSWER IS A.
HOPE THIS HELPSSS!!!! :D
brainliest pls
The equivalent expression for the given polynomial is (2x+3√3)². Therefore, option C is the correct answer.
The given expression is 4x²+27.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x²+27 can be written as 2².x²+9.3
=2².x²+3².(√3)²
=(2x+3√3)²
Hence, the equivalent expression is (2x+3√3)².
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Help Geometry im very stupid
Its an obtuse triangle because one of the angle n is 98 degrees
Answer:
Obtuse Triangle
Step-by-step explanation:
First we have to find the measure of all the angles. We know that the sum of all angles in a triangles is 180 degrees.
So we add 35 and 47 which is 82 degrees.
Then we subtract 82 from 180 which is 98 degrees. Now we know that angle N is 82 degrees.
We can go ahead eliminate answer choices acute equiangular triangle (that only applies if all angles are 60 degrees) and right triangle (must have a right angle which is 90 degrees).
That now leaves us with acute and obtuse triangle. An acute triangle has angles that are less that 90 degrees. So that only leaves us with the answer choice obtuse triangle, because it has an angle of 98 degrees which is an obtuse angle.
So your answer is Obtuse Triangle.
a product is the answer to x expression or equation a factor number being multiplied is * 1000 to get a product of 9254
Answer:
9.254
Step-by-step explanation:
Move the decimal three times (how many zeros of 1000 there is)
What is 65% of 1150?
O 17.7
O 74.8
O 747.5
0 1769.2
Answer:
747.5
Step-by-step explanation:
A natural food store makes its own brand of trail mix out of dried apples, raisins, and peanuts. One pound of
the mixture costs $3.18. It contains twice as much peanuts by weight as apples. One pound of dried apples costs $4.48, a pound of raisins $2.40, and a pound of peanuts $3.44. How many ounces of each ingredient are contained in 1 pound of the trail mix?
Answer:
50.88
Step-by-step explanation:
dried apples,raisins and peanuts. One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
:
One pound of dried apples cost $4.48, a pound of raisins cost $2.40 and
a pound of peanuts is $ 3.44.
:
How many ounces of each ingredient are contained in one pound of the trail mix?
:
Here it is, step-by-step
:
Let a = no. of oz of apples
Let r = no. of oz of raisins
Let p = no. of oz of peanuts
:
The equation:
4.48a + 2.40r + 3.44p = 3.18(16)
:
It says p = 2a, substitute 2a for p
4.48a + 2.40r + 3.44(2a) = 3.18(16)
:
4.48a + 2.40r + 6.88a = 50.88
:
4.48a + 6.88a + 2.40r = 50.88
:
11.36a + 2.40r = 50.88
:
At this point we can say: r = (16-3a), a represents apples & peanuts here.
Substitute (16-3a) for r, solve for a;
11.36a + 2.40(16-3a) = 50.88
:
11.36a + 38.40 - 7.2a = 50.88
:
11.36a - 7.2a = 50.88 - 38.40
:
4.16a = 12.48
a = 12.48%2F4.16
a = 3 oz dried apples
then
P = 2(3)
P = 6 oz of peanuts
:
Find r:
r = 16 - 3 - 6
r = 7 oz of raisins
;
:
Check these values for a, r, p in the cost equation
4.48(3) + 2.40(7) + 3.44(6) = 3.18(16)
13.44 + 16.8 + 20.64 = 50.88; confirms our solutions
3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts are contained in 1 pound of the trail mix
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Dried apples, raisins and peanuts.
One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
One pound of dried apples cost = $4.48,
raisins cost = $2.40
peanuts cost = $ 3.44.
Let x be number of oz of apples
Let y be number of oz of raisins
Let z be number of oz of peanuts
So, the equation can be written as
4.48x + 2.40y + 3.44z = 3.18(16)
As, z = 2x,
4.48x + 2.40y + 3.44(2x) = 3.18(16)
4.48x + 2.40y + 6.88x = 50.88
4.48x + 6.88x + 2.40y = 50.88
11.36x + 2.40y = 50.88
Also, y= (16-3a)
11.36x + 2.40(16-3x) = 50.88
11.36x + 38.40 - 7.2x= 50.88
11.36x - 7.2x = 50.88 - 38.40
4.16x = 12.48
x = 12.48 / 4.16
x = 3
and, z = 2(3)
z = 6
Similarly, y = 16 - 3 - 6
y = 7
Hence, 3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts.
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How can you determine the sign of the answer when dividing 5 integers that all have negative signs?
Answer:
it would be Negative
Step-by-step:
let take -100/-2/-1/-2/-1 (yes easy i know)
-100/-2= 50
50/-1= -50
50/-2= 25
25/-1= -25
Which angle number is supplementary to angle Answer:
Answer:
Angle 8
Step-by-step explanation:
Supplementary angles are angles that are equal to 180 degrees.
Could someone please help with this question?
In minnesota,the state sales tax rate is 6.875%
The price tag on an HDTV gives the price as $560. There are no discounts available.
What is the total cost for the TV, including sales tax, in Minnesota?
Answer:
598.50
Step-by-step explanation:
Multiply the percent by the price then add that number to the price.
I added 38.50 in taxes to the price of the TV
The total cost of the TV will be $598.50 including the sales tax of 6.875%.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that in Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives the price as $560,
The total cost will be calculated as,
Cost = 560 x 1.06875
Cost = 598.5
Hence, the total cost will be $598.50.
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find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2
Answer:
[tex]\displaystyle y=-\frac{1}{5}x+\frac{17}{5}[/tex]
Step-by-step explanation:
Equation of a line
A line can be represented by an equation of the form
[tex]y=mx+b[/tex]
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
[tex]m_1.m_2=-1[/tex]
The given line has a slope m1=5, thus the slope of our required line is:
[tex]\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}[/tex]
The equation of the line now can be expressed as:
[tex]\displaystyle y=-\frac{1}{5}x+b[/tex]
We need to find the value of b, which can be done by using the point (7,2):
[tex]\displaystyle 2=-\frac{1}{5}*7+b[/tex]
Operating:
[tex]\displaystyle 2=-\frac{7}{5}+b[/tex]
Multiplying by 5:
[tex]10=-7+5b[/tex]
Operating:
[tex]10+7=5b[/tex]
Solving for b:
[tex]\displaystyle b=\frac{17}{5}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}[/tex]
55/5 divided by 11/4
Answer:
1/4 in fraction form or in decimal form its 0.25
Step-by-step explanation:
Answer: 4
Explanation: To solve (⁵⁵⁄₅) ÷ (¹¹⁄₄), you must follow PEMDAS. And so, I'd divide what's inside the parentheses. 55 divided by 5 is 11, and 11 divided by 4 is 2.75. Now, our equation should look like this: 11 ÷ 2.75. After dividing, you should get a quotient of 4.
I hope this helped!
Good luck <3
can someone plz help me with this math equation!!

Answer:
[tex]4x^3-2x^2-2x+3[/tex]
<3
Red
Plz help me!!!!!!!!!!!!!!!!
Answer:
Well for number 3 it is the fourth join
And for four is the second option
Step-by-step explanation:
Number three is the fourth choice because all you do is take the two numbers and put the colun there.
And for number four is the second option because you do the same
LET ME KNOW ON HOW YOU DID IN THE COMMENTS!!
Points A, B, C, D, E, and F are located on the number line.
Which statements are true about the numbers represented by the points? Check all that apply.
The number represented by Point C is equal to the number represented by Point F.
Point A is neither greater nor less than the numbers represented by the other points.
Point D represents a number less than the number Point C represents.
Point A represents a number greater than the number Point F represents.
Point E represents the smallest number of all the numbers represented by points.
Answer:
The first answer is
"Point D represents a number less than the number Point C represents"
the other answer is
"Point E represents the smallest number of all the numbers represented by the points
Step-by-step explanation:
Hope this helps!
The correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".
Given information:
The number line shows 6 points A, B, C, D, E, and F.
The sequence of numbers from left to right is E, B, D, C, A, and F.
In the number line, a point or number on the right is bigger than the point or number on the left.
From this, we can conclude that:
Point C is on the left of point F. So, point C is less than point F. The first statement is wrong.All the points are on the different locations on the number line. So, all the points represent different numbers. The second statement is also wrong.Point D is on the left of point C. So, the number represented by point D is less than the number represented by point C. The third statement is correct.Point F is on the rightmost location. So, it is the greatest number. The fourth statement is wrong.Point E is on the leftmost location. So, the number represented by point E is the smallest among the given 6 points. The fifth statement is correct.Therefore, the correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".
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Anna completes a test that had 120 questions for a math competition. Each correct answer is worth +4 points, and each wrong answer is worth -2 points. Anna finishes the entire test and receives a score of zero. How many correct and incorrect answers did she have?
Answer:
40 correct and 80 incorrect
Step-by-step explanation:
40*4=160
80*2=160
Answer: 40 Correct and 80 Incorrect
Step-by-step explanation: Every answer she gets correct, she can afford to get 2 answer wrong meaning the number of incorrect answers must be twice the amount of correct. 40(4)=160 80(-2)=160 which evens out to zero
If the area of a square is 32 square feet, estimate the length of each side of the square to the nearest whole number.
Answer:
the answer is actually 6
Step-by-step explanation:
The length of each side of the square to the nearest whole number is 6 feet.
Given that, the area of a square is 32 square feet.
We need to estimate the length of each side of the square to the nearest whole number.
What is the area of a square?A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to find the area of a square =a², where a=side of a square.
Now, a²=32 square feet
⇒a=√32
⇒a=5.65≈6
Therefore, the length of each side of the square to the nearest whole number is 6 feet.
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slope=8, y-intercept=-4
Answer:
Y= 8X + 4
Step-by-step explanation:
7w-6 = 3(w + 6)
Please help me with this answer.
Answer:
w = 6
Step-by-step explanation:
Distribute the 3 first
7w - 6 = 3w + 18
Combine like terms
4w = 24
Divide by 4 to isolate w
so w = 6
Answer:
Step-by-step explanation:
Apply the distributive property to the right side of the equation. 3(w+6). Then, begin to simplify the equation. W=6
Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 < 18
Answer:
see below
Step-by-step explanation:
5|x| + 3 < 18
Subtract 3 from each side
5|x| + 3-3 < 18-3
5|x| < 15
Divide by 5
5|x| /5 < 15/5
|x| < 3
There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)
x <3 and x > -3
Answer:5|x| + 3 < 18
Step-by-step explanation: