Paige measured 4/9 cup of onions, 3/4 cup of celery, and 2/7 cup of carrots. How many cups of vegetables did Paige measure out for her vegetable soup?
Answer:
Step-by-step explanation:
1) Make all the fractions have the same denominator.
- To do that you need to find the LCM (least common denominator) of 4, 9, and 7.
(look at image 1)
-Then apply the number you multiply the original denominator by to the original numerator
(look at image 2)
-Add the fractions together
(look at image 3)
Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
The other person is correct i just did the test
twenty five is the quotient of a number y and 3.5
A rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest tenth if necessary. (1 point) 7.5 cm by 22.5 cm 7.5 cm by 52.5 cm 20 cm by 60 cm 15 cm by 22.5 cm
Given a segment with endpoints A and B, what figure can you contrust using the steps below?
Step 1: Put the compass point on A and draw a long arc. Be sure the opening is greater than 1/2 AB.
Step 2: With the compass on the same setting, put the compass point on B and draw another long arc. Label the points where the two arcs meet as X and Y.
Step 3: Draw XY. (it has a line on top) Label the point of intersection of AB (it has a line on top too) and XY (has a line on top) as M, the midpoint of AB. (line on top)
a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle
Find the following measure for this figure.
Volume =
A. 275π cubic units
B. 91 2/3π cubic units
C. 36 2/3π cubic units
2(-3 x + 1) = 9 x - 8
45 1/2% percent as a fraction in simplest form
45 1/2 per cent as a fraction in simplest form is 91/200.
We need to write 45 1/2% as a fraction in the simplest form.
How to write a fraction in the simplest form?A fraction is in its simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
To simplify a fraction: Divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
Now, 45 1/2% can be written as 45.5/100
Multiply both numerator and denominator by 10.
That is 455/1000
Now, 455/1000 = 91/200
Therefore, 45 1/2 per cent as a fraction in simplest form is 91/200.
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If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), what is the value of k?
To find the value of k when x^2+kx+7 is equivalent to (x+1)(x+h), we expand (x+1)(x+h), compare coefficients, and deduce that k is 8.
Explanation:If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), we are looking for the value of k. To find k, we expand the right-hand side and then compare coefficients.
Expanding (x+1)(x+h) gives us x^2+hx+x+h, which simplifies to x^2+(h+1)x+h.
Comparing this to x^2+kx+7, we can see that k must be equal to h+1.
Since there is no h term in x^2+kx+7, we infer that h must be equal to 7. Consequently, k=h+1 which leads us to k=7+1.
Therefore, the value of k is 8.
The French helped the Patriot war effort by
A. attacking the main island of Britain to distract British forces.
B. keeping Spain out of the war.
C. going to war against hostile Native American groups. End of exam
D. providing a navy and military support.
Make the following conversion.
0.075 m = _____ cm
0.075 m is 7.5 centimeters.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
Given that, convert 0.075 m into cm
We know that, 1 meter = 100 centimeters
0.075 meter = [(100) × 0.075] centimeter
0.075 meter = (100 × 0.075) centimeter
= (100 × 75/1000) centimeter
= (7500/1000) centimeter
= (75/10) centimeter
= 7.5 centimeter.
Hence, 0.075 m is 7.5 centimeters.
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paul deposited 1,200$ into an account that earns 1.5% in annual simple interest. If paul does not make any deposites or withdrawls how much money will paul have in his account in 2 years?
For what values of x would the rectangle have a perimeter of at least 242?
a.9 or less
b.12 or less
c.12 or greater
d.25 or less
Item 15 The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl,S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.
Final answer:
The height of the cone is equal to the slant height plus 1.
Explanation:
To find the height of the cone, we can use the formula for the surface area of a cone: S = πr^2 + πrl, where r is the radius of the base and l is the slant height. Since the problem states that the surface area is equal to the volume, we can set S equal to V and solve for h, the height of the cone.
Here's the step-by-step calculation:
S = V
πr² + πrl = V
πr² + πrl = πr²h
πr² + πrl - πr²h = 0
Combine like terms: πr²(1 - h) + πrl = 0
Divide both sides by πr to solve for h: 1 - h + l = 0
Subtract l from both sides: 1 - h = -l
Subtract 1 from both sides: -h = -l - 1
Multiply both sides by -1 to solve for h: h = l + 1
So, the height of the cone is h = l + 1.
60/5(7-5)=2
I got 24, but some other people got 6.
60/5(7-5) - P
60/5(2) - M/D (left to right)
12(2) - M/D (left to right)
=24
Travis runs an average of 25 miles per week give or take six miles. let m be the number of miles travis runs each week
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.
Answer with explanation:
The equation, y=3 x,
y=Distance traveled
x =Total time
[tex]\frac{\text{Distance traveled}}{\text{Time}}=\frac{y}{x}=3\\\\ \frac{dy}{dx}={\text{Rate of change}}={\text{Velocity}}=3 {\text{unit of time}][/tex]
Also, in terms of straight line
Slope =3= uniform Velocity
Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit ,and 15 unit=Distance traveled in 5 (Unit of time).
→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.
The graph of line y = 3x, y represents distance and x represents the time and the point (3,9) repersents the distance covered by Alonso's is 9 unit in 3 unit of time and the point (5,15) repersents the distance covered by Alonso's is 15 unit in 5 unit of time.
Given :
y = 3x , represents Alonso's walking speed.
If y = 3x represents Alonso's walking speed than y represents distance and x represent time. The graph of y = 3x is attached below.
The point (3,9) on the line (y = 3x) represent that at 3 unit of time the distance covered by Alonso's is 9 unit.
The ponit (5,15) on the line (y = 3x) represent that at 5 unit of time the distance covered by Alonso's is 15 unit.
Therefore, in the graph of line y = 3x, y represents distance and x represents the time and the point (3,9) repersents the distance covered by Alonso's is 9 unit in 3 unit of time and the point (5,15) repersents the distance covered by Alonso's is 15 unit in 5 unit of time.
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Point a and point b are placed on a number line point a is located -20 and point b is 5 less then point a .which statement about paint b is true
How are polynomials like other number systems such as whole numbers and integers?
A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.
$1.45 + $0.55x ≥ $35;Answer:
The correct option is: $1.45 + $0.55x ≤ $35 ; x ≤ 61 miles
Step-by-step explanation:
Suppose, the number of miles Ariel can travel [tex]=x[/tex]
The cab charges $1.45 for the flat fee and $0.55 for each mile. So, the total charges for [tex]x[/tex] miles [tex]=\$1.45+\$0.55x[/tex]
Given that, she has $35 to spend. That means, the total charges must be less than or equal to $35.
So, the inequality will be: [tex]\$1.45+\$0.55x\leq \$35[/tex]
Solving the above inequality....
[tex]1.45+0.55x\leq 35\\ \\ 0.55x\leq 35-1.45\\ \\ 0.55x\leq 33.55\\ \\ x\leq \frac{33.55}{0.55}\\ \\ x\leq 61[/tex]
So, the number of miles Ariel can travel is 61 miles.
Simplify -8 - 7(y+2)
what is 25+120-10x=10x-35=
A commuter plane provides transportation from an international airport to the surrounding cities. one commuter plane averaged 280 mph flying to a city and 120 mph returning to the international airport. the total flying time was 3 h. find the distance between the two airports.
The distance between the two airports is 252 miles
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the distance between the two airports be = D
Now ,
Let the first airport be = A
Let the second airport be = B
And , the speed from Airport A to Airport B averaged = 280 mph
The speed from Airport B to Airport A averaged = 120 mph
The total time taken for the journey = 3 hours
So , the value of Time T = 3 hours
So , the equation will be
Time = Distance / Speed
Since , the distance between the airports remains the same on the journey,
Time = D/280 + D / 120
Substituting the values in the equation, we get
D/280 + D / 120 = 3
The LCM of 280 and 120 is 840 , so
( 3D + 7D ) / 840 = 3
On simplifying the equation , we get
Multiply by 840 on both sides of the equation , we get
10D = 2520
Divide by 10 on both sides of the equation , we get
D = 252 miles
Therefore , the value of distance D from the equation is 252 miles
Hence , The distance between the two airports is 252 miles
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Final answer:
By solving the equation 280t = 120(3 - t), we find that the time taken to fly to the city is 0.9 hours. Multiplying this by the speed of 280 mph, the distance between the two airports is determined to be 252 miles.
Explanation:
To find the distance between the two airports, we can use the formula distance = speed × time, but first, we need to find the time taken for each leg of the journey. Let t be the time (in hours) it takes for the plane to fly to the city at 280 mph. Hence, the time taken to return to the international airport at 120 mph will be 3 - t hours. We can establish the following equations based on this information:
To the city: 280t (since distance = 280 mph × t)
Returning: 120(3 - t) (since distance = 120 mph × (3 - t))
Since the distances are equal for both trips, we can set the equations equal to each other:
280t = 120(3 - t)
Solving for t, we get:
280t = 360 - 120t
400t = 360
t = 0.9
The time taken to fly to the city at 280 mph is 0.9 hours. Now we can find the distance:
Distance to the city = 280 mph × 0.9 h = 252 miles.
Therefore, the distance between the two airports is 252 miles.
15x - 10 = -9x + 2
please help me !!!!!
what two numbers multiply to make 6 and also add to make 8
A computer system password requires five characters, all lowercase letters (remember there are 26 letters), and all the letters must be different. how many different passwords are possible?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of ways in which the password can be formed is 7,893,600.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that a computer system password requires five characters, all lowercase letters (remember there are 26 letters), and all the letters must be different. Therefore, if a letter is used once it can not be used again.
For the first place available options = 26 letter
Now, one letter is only used therefore, there are only 25 options available for the next place.
For the Second place available options = 25 letter
Now, two letters are only used therefore, there are only 24options available for the next place.
For the third place available options = 24 letter
Now, three letters are only used therefore, there are only 23 options available for the next place.
For the fourth place available options = 23 letter
Now, the four letter are only used therefore, there are only 22 options available for the next place.
For the fifth place available options = 22 letter
Further, the number of ways in which the password can be formed is,
Number of ways = 26 × 25 × 24 × 23 × 22 = 7,893,600
Hence, the number of ways in which the password can be formed is 7,893,600.
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Final answer:
There are 789,360 different passwords that are possible.
Explanation:
To find the number of different passwords that are possible, we can consider the problem in a step-by-step manner.
For the first character, there are 26 choices since we can choose any lowercase letter.For the second character, there are 25 choices remaining since one letter has already been used.Similarly, for the third character, there are 24 choices remaining.For the fourth character, there are 23 choices remaining.And finally, for the fifth character, there are 22 choices remaining.To find the total number of possible passwords, we can multiply these choices together: 26 × 25 × 24 × 23 × 22 = 789,360.
Complete the solution of the equation. Find the value of y when x equals 15.
3x ‒ 8y = 5
y= ?
I hope that helps!
So difficult!!! Someone help
which equation represents the table below? sal's and carries ages
Answer:
c = s + 4
Step-by-step explanation:
We have given the Sal's and Carrie's ages. We need to represents the table below using equation.
Sal = 3 5 8 13 15
Carrie = 7 9 12 17 19
Out of given options, equation (3) should be followed. We can proof it as :
c = s + 4
Putting one by one the ages of Sal in the above equation to get Carrie's age.
1. c = 3 + 4 = 7
2. c = 5 + 4 = 9
3. c = 8 + 4 = 12
4. c = 13 + 4 = 17
5. c = 15 + 4 = 19
Hence, the correct option is (c).
Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅
Consider the Set A = {X | X is an even whole number between 0 and 2 } = [tex]\Phi[/tex].
Since, whole numbers are the set of numbers starting from zero upto infinity.
Even numbers are the numbers which are exactly divisible by '2'.
So, we have to find the even whole number between 0 and 2.
Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.
Therefore, there is no even whole number between 0 and 2.
So, this set is empty.
Therefore, A = { X | X is an even whole number between 0 and 2} = [tex]\Phi[/tex]