Aisha bought 5.5 pounds of fruit if she buys 3 pounds of apples and 2.5 pounds of raspberries and she buys x + y fruits if she buys x pounds of apples and y pounds of raspberries.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that,
We have to calculate the total pound if Aisha bought 3 pounds of apples and 2.5 pounds of raspberries.
Total pounds = 3 pounds + 2.5 pounds = 5.5 pounds
If x pounds of apples and y pounds of raspberries are bought,
Total pounds = x + y
Hence the total pounds is calculated by adding the amount of pounds of apples and raspberries to get 5.5 pounds and x + y pounds.
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is 3x - 5=-3 positive negative or zero
Answer:
3x - 5=-3
3x - 5+5=-3+5
3x=2
3x/3=2/3
x=2/3
Positive :D Hope this helped!!
Step-by-step explanation:
Answer:
x is positive.
Step-by-step explanation:
3x - 5= -3 ==> isolate x
3x = 2 ==> add 5 on both sides
x = 2/3 ==> divide 3 on both sides
Hence, x is positive.
Which is the ratio used to find a midpoint?
So, the midpoint is at a ratio of 1/2 of the way from the first point to the second point on both x and y axis.
The ratio used to find the midpoint of a line segment is 1:1 or 1/2:1/2.
To find the midpoint of a line segment, we need to average the x-coordinates and the y-coordinates of the two given points.
The x-coordinate of the midpoint = (x1 + x2)/2
The y-coordinate of the midpoint = (y1 + y2)/2
So we can say that the midpoint is at a ratio of 1/2 of the way from the first point to the second point on both x and y axis.
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The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
The likelihood that the first question will be true, given the true and false quiz is C. Equally likely and unlikely.
How to find the likelihood ?The likelihood that the first question will be true will be based on the probability that each question is true or false. This simply means that to solve the question, you need to look at the probability given of a question being true.
That probability is given as P ( true ) = 0. 5 which means that the probability of a question being true is 50%.
The probability is therefore equally likely or unlikely as 50 % is the median probability.
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Answer: C: Equally likely and unlikely.
Step-by-step explanation:
questiona series is given by 131 232 333 434 535 ....francine correctly applies the ratio test to determine whether the series converges or diverges.which statement reflects francine's conclusion?
From the ratio test, r=1/3. The series converges.
We must calculate the ratio between two successive phrases in order to perform the ratio test:
The nth term is n / 3n.
The (n + 1)th term is (n + 1) / 3n + 1.
The ratio test: lim | [ (n + 1) / 3n + 1 ] / [ n / 3n ] |
= lim | [ (n + 1) / n ] · [ 3n / 3n + 1 ] |
= lim | [ (n + 1) / n ] · [ 1/3 ] |
= (1/3) · lim | (n + 1) / n |
= (1/3) · lim | ( n/n ) + (1/n) |
= (1/3) · lim | 1 + (1/n) |
= (1/3) · [ lim | 1 | + lim | 1/n |
= (1/3) · [ 1 + 0 |
According to the ratio test, the series converges if this ratio is between -1 and 1 (excluded). This sequence thus comes together.
= (1/3) <--- converges
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The full question:
A series is given by 1/3^1+2/3^2+3/3^3+4/3^4+5/3^5+...
Francine correctly applies the ratio test to determine whether the series converges or diverges.
Which statement reflects Francine's conclusion?
From the ratio test, r = 3. The series converges.
From the ratio test, r=1/3. The series diverges.
From the ratio test, r = 3. The series diverges.
From the ratio test, r=1/3. The series converges.
Answer:
From the ratio test, r=13. The series converges.
Step-by-step explanation:
I took the Test
Xy=24
X=y-2
So confusing?
Answer:
X=4 or -6 and y= 6 or -4
(4,6),(-6-4)
Step-by-step explanation:
Xy=24 -------(i)
X=y-2 ---------(ii)
substitute (ii) into (i)
=> (y-2)y=24
y²-2y=24
y²-2y-24=0
(y-6)(y+4)=0
=> y= 6 or y=-4
when y=6;
X=6-2=4
when y=-4;
X= -4-2=-6
35=0.35 times w answer question
The value of w is 100
What is linear equation?A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
Example of linear equations are 5x +2 = 7. This is an example of linear equation with one variable. Example of linear equation with two variables is :
5x+2y = 3 and 7x+6y = 5.
Where x and y are the variables.
Similarly , 35 = 0.35w is an example of linear equation with one variable , here the variable is w. And to find the value if the variable we divide both sides by the coefficient of w.
Therefore, divide both sides by 0.35
35/0.35 = w
w = 100
therefore the value of w = 100
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 5 = 0
Louise and Kell walk to school. Louis walks 4/5mi. Kell walks 0.70mi. Who walks a greater distance to school? How much greater?
Answer:
Step-by-step explanation:
OK, first what I did was keep 0.70 the same and then I make 4/5 into a decimal and I get 0.8 so now that both are decimals we can compare them and 0.8 is greater so that means Louis walks a greater distance than Kell does
Isaac makes china mugs with names painted on them. He charges a fixed fee for the mug, together with a fixed charge for each letter in the name. Penelope buys a mug for each of her children, Alexander and Lucia. She pays $12. 60 for Alexander’s mug and $9. 40 for Lucia’s mug. How much would Penelope have to pay for a mug with her own name on it?
Penelope would have to pay 11.80 for a mug with her own name on it. the fixed cost would be 5.40 and cost per letter would be 0.80.
Total cost = Fixed cost + (no. of letters*cost per letter)
let us take the fixed cost as x and cost per letter as y
so for alexander,
12.60 = x + 9y (eq 1)
for lucia,
9.40 = x + 5y (eq 2)
equating eq1 and eq 2
12.60 - 9y = 9.40 - 5y
12.60 - 9.40 = - 5y + 9y
4y = 3.20
y = 0.80
x = 9.40 - 5y
= 9.40 - 4 = 5.40
therefore, the cost for penelopes mug will be,
= 5.40 + (8*0.80)
= 5.40 + 6.40 = 11.80
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please help me with this problem everything is on the image
The table that shows a proportional relationship is Table D.
Please find attached the graph of Table D created with MS Excel
What is a proportional relationshp?The variables x and y in a set of ordered pair (x, y), are proportionally related, when the ratios of the x and y values for of all data points in the set are equivalent, such that a proportional relationship can be expressed in the form; y = k·x
Where;
k = The constant of proportionality
Therefore; k = y/x
The ratio of the y-values to the corresponding x-values in the table that shows a proportional relationship is therefore a constant.
Analyzing the Table C, we get;
The points are; (2, 1), (4, 3), (6, 5), (8, 7)
x/y for each data point is therefore;
1/2 ≠ 3/4 ≠ 5/6 ≠ 7/8
Table C does not show a proportional relationship
The coordinate points in Table D are; (2, 1), (6, 3), (8, 4), (10, 5)
The ratio, x/y at each point in the table are therefore;
1/2 = 3/6 = 4/8 = 5/10 = 1/2
The ratio, x/y at each point in the table is constant, therefore, Table D ahows a proportional relationship.
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5x + 6 = 2x – 3 help
Answer:
x=-3
Step-by-step explanation: 5x+6=2x-3
Answer:
x = -3
Step-by-step explanation:
5x + 6 = 2x - 3
Subtract 2x + 6 on both sides,
5x + 6 - (2x+6) = (2x-3) - (2x + 6)
3x = -9
x = -3
Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table. Feet $\frac{1}{24}$ $\frac{1}{8}$ Inches $\frac{1}{2}$ $1$ $\frac{1}{4}$ : : : :
The missing value in the ratio table will be calculated is 4.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
The missing values in the ratio table will be calculated this:
1/2 = x / 8
The next thing to do after the above is to cross multiply in order to get the value of x. This will be:
2 × x = 1 × 8
2x = 8
Then, we have to divide through by 2.
x = 8 / 2
x = 4
Therefore, the value of x is 4.
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Complete question
Find the missing values in the ratio table.
1/2 : x/8
Rita finds the quotient of 584 ÷ 12
to be 48 R18. Explain why her answer
is not correct. Then find the correct
answer.
Answer:
The answer is 48.6667 or 48 2/3
Step-by-step explanation:
What is the product of 5x and (- 4xyz?
The result of this calculation is -20xyz. This answer can be verified by taking 5x, which is 5 times x, and -4xyz, which is -4 times xyz, and multiplying them together. This gives -20 times x times y times z, which is -20xyz.
The product of 5x and -4xyz is -20xyz.
-20xyz
5x * (-4xyz) = 5x * (-4) * xyz = -20xyz
Multiplying 5x and -4xyz together yields -20xyz. To calculate this, first take the 5x and multiply it by -4. Then take the answer and multiply it by xyz. The result of this calculation is -20xyz. This answer can be verified by taking 5x, which is 5 times x, and -4xyz, which is -4 times xyz, and multiplying them together. This gives -20 times x times y times z, which is -20xyz.
The product of 5x and -4xyz is -20xyz.
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Write the phrase as an expression. Then simplify the expression. 7 plus the sum of a number x and 5
Answer:
The expression. 7 plus the sum of a number x and 5 will be written as 7 + (x + 5).
Step-by-step explanation:
From the information given, the phrase is written as 7 plus the sum of a number x and 5. Therefore, the expression will be:= 7 + (x + 5).
Let's say x is 2. The the value will be:= 7 + (2 + 5)
= 7 + 7 = 14
In conclusion, the correct option is 7 + (x + 5).
A picnic basket is shaped like a rectangular prism. The height of the basket is 8 inches. The bottom of the basket has an area of 240 square inches.
What is the volume of the picnic basket?
Enter your answer in the box.
in³
The volume of the picnic basket is 1920in^3.
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
Given;
The height of the basket is 8 inches
The bottom of the basket has an area of 240 square inches.
Now,
V=B x h
V= 8 x 240
V= 1920
Therefore, the volume will be 1920in^3
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3/4x+5=-9? what is the solution
Answer:
x= -18.6666666667
Step-by-step explanation:
[tex]3/4x+5=-9\\ \\3/4x=-9-5\\ \\3/4x=-14\\ \\x= -14 X \frac{4}{3}\\ \\x= \frac{-14 X4}{3}\\ \\x= \frac{-56}{3}\\\\x= -\frac{56}{3}\\\\x= -\frac{56}{3} = -18.6666666667[/tex]
Suppose =m∠884°. Find m∠1 and m∠3
Answer: The measure of an angle is the same as the measure of its reference angle in the first or fourth quadrant. Since, m∠884° is in the 8th quadrant, we can use the reference angle in the first quadrant, which is m∠4°.
So, m∠1 = m∠4°
To find the measure of the angle m∠3, we can use the fact that angles in different quadrants that share a terminal side have measures that add up to 180°.
m∠3 = 180° - m∠1
m∠3 = 180° - m∠4°
m∠3 = 180° - 4° = 176°
Therefore, m∠1 = m∠4° and m∠3 = 176°.
Step-by-step explanation:
A number is chosen at random from the set s={12345.......20}.What is the probability that the number is from the set A={x:3<x<10}?
We choose any number at random from 1 -5 . total number of favourable outcomes = 5. Therefore, probabilty of each outcome = 1/5 .
What is the likelihood of selecting 1 through 5?If we pick a number at random between 1 and 5, the total number of favorable outcomes is 5. As a result, the probability of each scenario is 1/5. P (X) = n/N, where n is the number of favorable outcomes and N denotes the total number of potential outcomes.
A random variable in probability is a real-valued function whose domain is the sample space of the random experiment. It indicates that each random experiment outcome is connected with a single real number, and the single real number may change depending on the random experiment outcomes.
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A frozen yogurt shop conducted a survey in which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt, so the shop concluded that the customers' favorite flavor is vanilla. Is this a valid conclusion?
Answer:
No
Step-by-step explanation:
They did not get everyones imput
What is the factored form of X³ 1?
The factors of the given polynomial as calculated from the given data is found as , (x−1) and (x 2 +x+1) .
The equation given in the question is , x³ - 1 .
On solving this equation we will get the result as ,
x³ −1
=(x−1)(x 2 +x+1)
Therefore, the factors of the given equation is both (x−1) and (x 2 +x+1) .
A quadratic equation factored form is used to find the roots or solutions of the given equation. Example , the factored form of x2 +5x+6 = 0, is x^2 +5 x + 6 = 0 is= 0 (x-2)(x-3) = 0.
When the product of two terms is zero, it signifies that any of them might be zero.
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I don’t understand what the question is
Answer:
just put your mind to it fam
Step-by-step explanation:
Answer:
this is nonsense
Step-by-step explanation:
(4x³ + 23x² + 22x - 10) [tex](x + 2)^{-1}[/tex]
(4x³ + 23x² + 22x - 10) (1 / (x + 2))
(4x³ + 23x² + 22x - 10) / (x + 2)
4x² + 2x³ + 23x + 11.5x² + 22 + 11x - 10/x - 5
2x³ + 15.5x² + 44x - 10/x + 17 ??????
HEEEEELP PLEAAAASE
ahmed is four years older than Tamir. Together they are 36 years old. How old is Ahmed?
Answer:
We know that the total age of both kids is 36
we also know that Ahmed is 4 years older than Tamir.
To find the answer we will first divide 36 by 2
36/2 = 18
Now we will subtract 4 from 18 and we get 14
lastly, subtract 14 from 36
36 - 14 is 22
Hence, Ahmed is 22 while Tamir is 14
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Julian is trying to find the height of a radio antenna on the roof of a local
building. He stands at a horizontal distance of 28 meters from the building.
The angle of elevation from his eyes to the roof (point A) is 32°, and the
angle of elevation from his eyes to the top of the antenna (point B) is 35°. If
his eyes are 1.51 meters from the ground, find the height of the antenna (the
distance from point A to point B). Round your answer to the nearest tenth of
a meter if necessary.
The height of the antenna on the roof of the local building is approximately 2 meters.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
The situation forms a right angle triangle.
Properties of a right angle triangle:
One of its angles is equals to 90 degrees
The sides of the triangles can be calculated using Pythagoras theorem.
Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 35° = opposite / adjacent
tan 35° = x / 28
where
x = the height of the building and the radio antenna from the eye point.
x = 28 tan 35
x = 28 × 0.700207
x = 19.60581 meters
Let's find the height of the building from his eye point.
tan 32° = y / 28
where
y = height of the building from his eye point
y = 28× tan 32°
y = 28 × 0.6248693
y = 17.496341 meters
Height of the antenna
= 19.60581 -17.496341
=2.109469
hence, Height of the antenna ≈ 2 meters
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a baseball leaves a bat at an angle of 30.0 degrees above the horizontal. the ball strikes a fence that is 100 meters horizontally from the barrier at a height of 5.0 meters above the height of the bat when it struck the ball. what was the speed of the ball as it left the bat?
The speed of the ball as it left the bat is 121.904 ft/s.
What Is Projectile Motion?An item or particle that is projected in a gravitational field, such as from the surface of the Earth, and moves along a curved route while solely being affected by gravity is said to be in projectile motion.A projectile is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. The trajectory of the object is referred to as the projectile's path.When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's centre is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.Here I attached the answer
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there are 24 psychiatrists and 30 psychologists attending a certain conference. three of these 54 people are randomly chosen to take part in a panel discussion. what is the probability that at least one psychologist is chosen? what is the probability that exactly three psychologists are chosen?
The probability that at least one psychologist is chosen is 5/9 and the probability that exactly three psychologists are chosen is 16.3.
Total number of Attendants in a certain conference are 54
There are 24 psychiatrists and 30 psychologists
Total number of attendants = 24 + 30= 54.
Therefore total number of cases is 54
1 ) Since there are 30 psychologists, the number of favorable outcomes is 30.
So P ( 30 psychologists) =Number of favorable cases/ Total number of cases
= 30/54
= 5/9.
So probability of at least one psychologist is 5/9.
2 ) If we have to choose 3 psychologist favorable outcomes are
= 30/54 x 29/53 x 28/52
= 1015/6201
= 16.3
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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12 people can fit in a room that is 9 feet by 4 feet. How many people will fit
in a room that is 12 yards by 3 yards?
12 persons will fit in a 6 feet by 6 feet space.
As per the data given in the above question are as bellow,
12 persons can fit in a room that is 9 feet by 4 feet.
We have to find how many people can fit in a 6' by 6' room.
Solving further we get,
Surface area of a 9 x 4 ft. room is equal to 9 x 4.
Surface area of a 9 by 4 foot space is equal to 36 feet2.
So,
Surface area of a room measuring 6 by 6 feet is 6 x 6.
A 6 by 6 foot room's surface area is 36 feet2.
The two rooms' floor space is equal. hence, the population is equal.
12 persons will fit in a 6 feet by 6 feet space.
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what is the quotient of (x^3+8) divided by x+2
The quotient when (x³ + 8) is divided by (x+2) is (x² - 2x + 4)
What is Polynomials ?A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. Using Descartes' Rule of Signs, the degree is used to calculate the greatest number of polynomial problem solutions.
The polynomials are (x³ + 8) and (x+2)
dividing (x³ + 8) by (x+2) we get,
x + 2 ) x³ + 8 ( x² - 2x + 4
- x³ - 2x²
-2x² + 8
2x² +4x
4x + 8
-4x - 8
0
The quotient when (x³ + 8) is divided by (x+2) is (x² - 2x + 4)
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When can a quadratic equation be solved by factoring?
We can solve a quadratic equation by factoring only if always the equation is in the form "(quadratic expression) equals (zero)".
We need to use the following steps to solve the quadratic equation by factoring:
Step 1. Place the quadratic expression on one side of the "equals" sign, with zero on the other side.
Step 2. Factor the given quadratic expression into its two linear factors.
Step 3. Put each of these linear factors equal to zero, forming two linear equations.
Step 4. Solve the two linear equations.
For example, Solve (x − 2)(x − 4) = 0 by factoring.
x − 2 = 0 or x − 4 = 0
x = 2 or x = 4
x = 2, 4
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What is the opposite of -2/5
Answer: The opposite of a number is the number that, when added to it, equals zero. In this case, the opposite of -2/5 is 2/5. When you add -2/5 and 2/5, the result is 0.
Step-by-step explanation:
This should help youAnswer: 2/5
Step-by-step explanation: If it’s negative you change it, if it’s positive you keep the number the same so in this question the fraction 2/5 is negative so the opposite of -2/5 is 2/5.