Answer:jjj
Step-by-step explanation:because
group of up to 40 people are going on a trip to Washington, DC. Some will travel
a van that holds 12 people, and the rest will buy train tickets. Write an inequality
hat can be used to find the number of train tickets that the group will need.
Answer:
y <= 40
Step-by-step explanation:
Let's call the number of people traveling by van "x", and the number of people buying train tickets "y". We know that the total number of people in the group is 40, so we can write the equation:
x + y = 40
And we also know that the van can hold up to 12 people, so we can write the inequality:
0 <= x <= 12
Now, to find the number of train tickets, we just need to substitute
x = 40 - y into the second inequality:
0 <= 40 - y <= 12
Expanding and solving for y, we get:
0 <= 40 - y <= 12
-40 <= -y <= -28
y >= 28
y <= 40
So the number of train tickets needed (y) is equal to or greater than 28 and equal to or less than 40.
Answer:
Inequality: 12 + x ≤ 40
Solution: x ≤ 28
Step-by-step explanation:
Let x be the number of train tickets that the group will need.
As the van holds 12 people and the rest will buy train tickets, an expression for the total number of people is:
12 + xIf the group is up to 40 people then 12 + x will be less than or equal to 40:
12 + x ≤ 40Therefore, the inequality that can be used to find the number of train tickets that the group will need is:
12 + x ≤ 40To solve the inequality, subtract 12 from both sides:
⇒ 12 + x - 12 ≤ 40 - 12
⇒ x ≤ 28
Therefore the number of train tickets that the group will need is less than or equal to 28 tickets.
Evaluate 4t + 8 if t = 3.
=4t + 8
=4×3 + 8
= 12 +8
= 20
[tex]...[/tex]
Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn costs $4 per
bag. Shana bought / things from the concession, all either sodas or bags of popcorn.
Shana
spent a total o€$26. Write a system of equations involving the number of sodas, s, and the bags
of popcorn, b. Solve the system using elimination to
see how many
of each Shana bought.
In a case whereby Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn costs the system of equation involving the number of sodas, s, and the bags are: (3s + 4p )= $26 and s+p = 7 .Then Shana bought 5 sodas and 2popcorn.
How can the the system of equation be written?We know that :
Sodas cost =$3 each
popcorn costs= $4 per
total =$26
The system of equation can be written as :
(3s + 4p )= $26
We were also told that he bought things equal to the 7 things which can be expressed as:
s+p = 7
Then we can solve the equations as:
3s + 4p = 26 .............................................(1)
s+p = 7................................................................(2)
multiply equation by -3
-3s - 3p =-21 ..................................................................(3)
Then add (1) and 3
4p-3p = 26-21
p=5
Then substitute the value of p into equation 2 we have
s+5 = 7
s= 7-5
=2
s=2
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complete question:
Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the concession., all either sodas or bags of popcorn. Shana spent a total of $26 . Write a system of equations involving the number of sodas S ,and the bags of popcorn ,B .Solve the system to see how many of each shana bought
(SAT Prep) Find the value of x
PLS ASAP
The value of x is given as follows:
x = 155º.
How to obtain the value of x?For the triangle at the left, considering that the sum of the measures of the internal angles of a triangle is of 180º, the angle measures are given as follows:
90º.35º.180 - (90 + 35) = 55º.For the triangle at the right, considering the ray formed at the top, the measures are given as follows:
90º.180 - (55 + 60) = 65º.180 - (90 + 65) = 25º.An angle is supplementary with it's external angle, meaning that the sum of their measures is of 180º, hence the value of x is obtained as follows:
x = 180 - 25
x = 155º.
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12 pack can of soda is 8. 25 what is the price per can
The price per can of a 12 pack of soda is 8.25. the price per can of a 12 pack of soda is 0.6875.
To calculate this, we can use the following formula: Price per Can = Total Price of 12 Pack / 12 Price per Can = 8.25 / 12 Price per Can = 0.6875 Therefore, the price per can of a 12 pack of soda is 0.6875. To better understand the price per can of a 12 pack of soda, it is important to understand the concept of unit pricing. Unit pricing is the cost of a single item compared to a larger quantity. When shopping, it is beneficial to look at the unit pricing of items to ensure that you are getting the best deal. For example, if a 12 pack of soda is 8.25 and a 6 pack of soda is 4.00, then the unit price of the 12 pack is lower, which means it is a better deal. By understanding unit pricing, you can make the most cost-efficient decisions when shopping.
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A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 80 times, with replacement, predict the number of times the ball would be the color green. A.The color green would be chosen exactly 20 times. B. The color green would be chosen roughly 8 times, but probably not exactly 8 times. C.The color green would be of chosen roughly 20 times, but probably not exactly 20 times. D. The color green would be chosen roughly 10 times.
Answer: If a ball is chosen at random 80 times, with replacement, and there are an equal number of blue, green, pink, and red balls, then the probability of choosing a green ball each time is 1/4. Over many trials, the number of times a green ball is chosen would be roughly proportional to the probability of choosing a green ball, so we would expect the green ball to be chosen about 80 * (1/4) = 20 times.
However, since this is a random process, it is unlikely that the green ball will be chosen exactly 20 times. It is more likely that the actual number of green balls chosen will be slightly different, possibly higher or lower, than 20. So the answer is C: The color green would be chosen roughly 20 times, but probably not exactly 20 times.
Step-by-step explanation:
Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.
5/8 - 3/8 = x
5/8 = 5 ÷ 8
= 0.625
3/8 = 3 ÷ 8
= 0.375
0.625 - 0.375 = x
= 0.25
Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.
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consider the ir spectrum. an i r spectrum has percent transmittance from 0 to 100 percent on the y axis and wave number in inverse centimeters from 4000 to 600 on the x axis, with peaks, or bands, pointing downwards. there is a strong, very broad band in the 3600 to 3100 inverse centimeter range, a strong, spiked peak in the 3000 to 2800 inverse centimeter range, a weak peak near 1850 inverse centimeters, a sharp peak near 1640 inverse centimeters, a series of spiked bands in the 1500 to 1200 inverse centimeter range, and two strong bands at 990 and 910 inverse centimeters. which compound matches the ir spectrum?
The IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
The IR spectrum described suggests the presence of several functional groups in the compound.
The strong, broad band in the 3600 to 3100 inverse centimeter range corresponds to the stretching vibration of the O-H bond in alcohols, while the strong, spiked peak in the 3000 to 2800 inverse centimeter range corresponds to the stretching vibration of the C-H bond in alkanes. The weak peak near 1850 inverse centimeters corresponds to the stretching vibration of the C=O bond in ketones, while the sharp peak near 1640 inverse centimeters corresponds to the stretching vibration of the C=C bond in alkenes.
The series of spiked bands in the 1500 to 1200 inverse centimeter range corresponds to the bending vibrations of the C-H bond in alkanes, while the two strong bands at 990 and 910 inverse centimeters correspond to the stretching vibration of the C-Cl bond in alkyl chlorides.
Based on this information, the compound that matches the IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
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Maggie made 4 valentines in 6 hours.
What is the RATE of valentines made PER hour?
Can someone explain this
There are quadratic equations as many as lead coefficients are. The functions that represent each parabola are:
Case A: y = (1 / 3) · (x + 4) · (x - 2)
Case B: y = (x + 4) · (x - 2)
Case C: y = 2 · (x + 4) · (x - 2)
Case D: y = - (1 / 3) · (x + 4) · (x - 2)
Case E: y = - 2 · (x + 4) · (x - 2)
How to determine a group of quadratic equations
In this problem we find five case of quadratic equations whose roots are x = - 4 and x = 2, but whose vertices are different. Quadratic equations can be described as a factor product of the form:
y = a · (x + 4) · (x - 2)
Where a is the lead coefficient.
The following parameters are for each parabola:
Case A: (x, y) = (- 1, - 3)
Case B: (x, y) = (- 1, - 9)
Case C: (x, y) = (- 1, - 18)
Case D: (x, y) = (- 1, 3)
Case E: (x, y) = (- 1, 18)
Now we determine the lead coefficient for each case:
Case A
- 3 = a · (- 1 + 4) · (- 1 - 2)
- 3 = - 9 · a
a = 1 / 3
Case B
- 9 = a · (- 1 + 4) · (- 1 - 2)
- 9 = - 9 · a
a = 1
Case C
- 18 = a · (- 1 + 4) · (- 1 - 2)
- 18 = - 9 · a
a = 2
Case D
3 = a · (- 1 + 4) · (- 1 - 2)
3 = - 9 · a
a = - 1 / 3
Case E
18 = a · (- 1 + 4) · (- 1 - 2)
18 = - 9 · a
a = - 2
All differences between all quadratic equations are due to different lead coefficients.
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Write 60.9% as a decimal.
A.0.0609
B.0.609
C.0.00609
D.6.0900
To convert a percentage to a decimal, divide the percentage by 100, The correct answer is B. 0.609.
What is Decimal number?When the decimal places in the factors are tallied together, they equal the number of decimal places in the product. A decimal number is one with a whole and a fraction part separated by a decimal point.
A base-10 representation of numeric values is used in the decimal numbering system. The system is widely used in daily life to complete routine tasks like grocery shopping, stock trading, keeping track of football scores, or scrolling through cable channels. Decimal numbers include 7, 28, 199, and 532.11.
To convert a percentage to a decimal, divide the percentage by 100.
So, 60.9% as a decimal would be:
60.9 / 100 = 0.609
Therefore, The correct answer is B. 0.609.
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what is the area for all of them
PLEASE I NEED HELP
The value of the areas are;
1. 24 cm²
2. 304cm²
3. 28. 36cm²
4. 5cm²
5. 189cm²
How to determine the areaThe formula for calculating the area of a triangle is expressed as;
Area = 1/2bh
Substitute the values
Area = 1/2 × 4 × 12
Multiply
Area = 24 cm²
For the area of a parallelogram
Area = ab, length of its sides
Substitute the values
Area = 304cm²
For the area of a rectangle
Area = lw, length and width
Area = 28. 36cm²
For the area of a pentagon
Area = 1/2 base × height
Area = 1/2 × 2.5 × 4
Area = 5cm²
For the area of a trapezium
Area = 1/2 (a + b)h
Area = 1/2 (18+24)9
Area = 189cm²
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Find the missing length the triangles are similar
Answer:
[tex]49[/tex]
Step-by-step explanation:
[tex]\frac{US}{UD}=\frac{UT}{UC} \implies US=\frac{(56)(14)}{16}=49[/tex]
Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
The statement that is true about the quadratic functions is:
g(x) > h(x) for x = -1.
Which statements are true for functions g(x) and g(x)?Here we have the two quadratic functions:
g(x) = x^2
h(x) = -x^2
Notice that h(x) = -g(x).
Also, g(x) is always positive or zero, while h(x) is always negative, but for x = 0 both have the same value.
g(0) = 0^2 = -0^2 = h(0)
Then the statement that is true is
g(x) > h(x) for x = -1.
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A mother is 24 years older than her daughter. a. If the daughter is w years old, how old is the mother? b. If the ratio of their ages is 5:2, find the age of the daughter.
What is the area of this compound figure?
The area of this compound figure is 85 cm².
What is the area of the compound figure?
The area of the compound figure given is calculated by subtracting the small area of the figure from the big figure.
A (total) = 9 cm x 15 cm
A (total) = 135 cm²
The area of the small figure is calculated as follows;
A (small) = ( 9 cm - 4 cm ) x ( 15 cm - 5 cm )
A (small) = ( 5 cm ) x ( 10 cm )
A (small) = 50 cm²
The area of this compound figure = ( 135 cm² - 50 cm² ) = 85 cm²
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Find sin a + cos a if sin a * cos a = 3/8
The value of sin a + cos a is √7/2.
Trigonometric identities:Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
Based on the right-triangle theorem, which is known as Pythagoras theorem, there are three Pythagorean trigonometric identities in trigonometry as follows
sin² a + cos² a = 11+tan² a = sec² acosec² a = 1 + cot² aHere we have
sin a × cos a = 3/8
Multiply with 2 on both sides
=> 2(sin a × cos a) = 2(3/8)
=> 2 sin a cos a = 3/4
Add sin²a + cos²a on both sides
=> sin²a + cos²a + 2 sin a cos a = 3/4 + sin²a + cos²a
As we know (a + b)² = a²+ b² + 2ab
=> (sin a + cos a)² = 3/4 + 1
=> (sin a + cos a)² = 7/4
=> sin a + cos a = √7/2
Therefore,
The value of sin a + cos a is √7/2.
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The cooling requirements for the three separate incubation rooms are ton, ton, and ton. If a central HVAC unit will be installed, how many tons are required?
The number of tons required when the central HVAC unit will be installed is 1. 73 tons
How to find the tons required ?For the HVAC unit to be installed, the three separate incubation rooms will have to be installed.
This means that the tons required for the central HVAC unit would be the total sum of the three requirement for the other incubation rooms.
The sum would be :
= 1 / 5 + 5 / 6 + 25 / 36
= 0. 2 + 0. 8333 + 0. 69444
= 1. 72774
= 1. 73 tons
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what expressions can be used to calculate the total price of a DVD that cost d dollars if the tax rate is 7.5%
Julieta is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
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Geometry and 60 POINTS!!!!!!
Answer:
a = 6 ft.
------------------------------
Given is an isosceles right triangle.
As per property of a such triangle, its hypotenuse is √2 times its leg.
That is:
a√2 = 6√2, divide both sides by √2a = 6Answer:
a = 6 ft
Step-by-step explanation:
We have to find,
→ The value of a in the diagram.
Formula we use,
=> Using Pythagoras theorem.
→ (Hyp)² = (Opp)² + (Base)²
Forming the equation,
→ (6√2)² = (a)² + (a)²
Now the value of a will be,
→ (6√2)² = (a)² + (a)²
→ (a)² + (a)² = (6√2)²
→ 2a² = 36 × 2
→ 2a² = 72
→ a² = 72 ÷ 2
→ a² = 36
→ a = √(36)
→ [ a = 6 ft ]
Hence, the value of a is 6 ft.
2. For the function f(x)=x² + 3x +4, find f(5). f(-3), f(0).
Answer: 44, -14, 4
Step-by-step explanation:
plug the f(x) into the x and solve itself.
(5)^2 + 3(5) + 4 = 44
(-3)^2 + 3(-3) + 4 = -14
(0)^2 + 3(0) + 4 = 4
1. Simplify the following ratios: 1.1 30:45 1.4 350:400 1.7 600 g: 4 kg 1.2 1.5 1.8 65:91 12 cm: 1m 21:750 ml 1.3 1.6 120:132:144- 3 km: 50 m
The simplified ratios are shown below:
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
We have ratios
1. 30: 45
= 30/45
= 2 /3
2. 350 : 400
= 350/400
= 7/8
3. 600g : 4 Kg
= 600 / 4000
= 6/ 40
= 3/20
4. 65:91
= 5 / 7
5. 12 cm : 1 m
= 12 / 100
= 3 /25
6. 3 Km: 50 m
= 3000 / 50
= 60
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Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.
For the given table -
The equation for line of best fit is Y = -1.000 · X + 11.25.
The correlation coefficient is -0.443533.
x and y have negative and strong correlation.
What is correlation coefficient?
A statistical concept known as the correlation coefficient aids in establishing a relationship between expected and actual values gained through statistical experimentation. The estimated correlation coefficient's value explains how well the expected and actual values match.
The table of data is given.
The formula for equation of the line of best fit is -
Y = b·X + a
On adding the values in a graphing calculator the equation is -
Y = -1.000 · X + 11.25
Here, the slope is -1 and y-intercept is 11.25.
The formula for correlation coefficient is -
r = [n(∑xy) - (∑x)(∑y)] / [n∑x² - (∑x²)][n∑y² - (∑y²)]
n = Number of values or elements
∑x = Sum of 1st values list
∑y = Sum of 2nd values list
∑xy = Sum of the product of 1st and 2nd values
∑x² = Sum of squares of 1st values
∑y² = Sum of squares of 2nd values
For the given table the values are -
n = 8, ∑x = 68, ∑y = 22, ∑xy = 145, ∑x² = 620, ∑y² = 274
Plug in all the values in the equation -
r = [8(145) - (68)(22)] / [8(620) - (620)][8(274) - (274)]
r = -0.443533
When the values of two variables grow while one variable's values fall. The correlation coefficient would be negative in that situation.
The weak and adverse association is indicated by the coefficient's negative value. And if "r" keeps moving in the direction of -1, the relationship is moving in the negative direction.
Therefore, the equation is Y = -1.000 · X + 11.25 and r value is -0.443533.
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five times a number is 120
Answer: The Number is 24.
Step-by-step explanation:
1) Set unknown number to a variable (I'm going to do x).
2) Set up equation: 5x = 120.
3) Simplify by dividing both sides by 5: 5x/5 = 120/5 = 24.
(a) Share £40 in the ratio 1:3:4
(c) Share 88p in the ratio 2:4:5
(d) Share 180° in the ratio 2:2:5
Pls help, if you don't mind
I would rlly appreciate that
£40 is shared as £5, £15 and £20. 88p is shared as 16p, 32p and 40p. 180° is shared as 40°, 40° and 100°
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
a) Share £40 in the ratio 1:3:4
For the first ratio = (1/8) * £40 = £5
For the second ratio = (3/8) * £40 = £15
For the third ratio = (4/8) * £40 = £20
b) Share 88p in the ratio 2:4:5
For the first ratio = (2/11) * 88p = 16p
For the second ratio = (4/11) * 88p = £32
For the third ratio = (5/11) * 88p = 40p
c) Share 180° in the ratio 2:2:5
For the first ratio = (2/9) * 180° = 40°
For the second ratio = (2/9) * 180° = 40°
For the third ratio = (5/9) * 180° = 100°
The ratios are shown above
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At the super market every can of tomatoes weighs at least 15ounces
The inequality representing the situation is w >= 15, where w represents the weight of a can of tomatoes and the inequality states that it must be greater than or equal to 15 ounces.
The inequality that represents the situation is w >= 15, where w represents the weight of a can of tomatoes. This inequality states that the weight of a can of tomatoes is greater than or equal to 15 ounces, meaning that every can of tomatoes weighs at least 15 ounces.
This inequality represents a constraint or a condition on the weight of a can of tomatoes. In mathematical terms, the inequality w >= 15 says that the value of w, which represents the weight of a can of tomatoes, must be greater than or equal to 15 ounces. Any value that satisfies this inequality is considered a valid solution for the weight of a can of tomatoes. For example, 15 ounces, 16 ounces, 17 ounces, and so on are all valid weights for a can of tomatoes that meet the requirement of weighing at least 15 ounces.
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The complete question is:
At a supermarket, Each tomato can in a store weighs at least 15 ounces.
Let w stand in for the can of tomatoes' weight.
Which inequality best captures the circumstances?
[tex]w < 15 w < 15 W > 15 w > 15[/tex]
The midpoint of GH is (1,-4). The coordinates of point G are (3,-5).
What are the coordinates of point H?
The coordinates of point H are (-1,-3). This is obtained by using the midpoint formula and solving for the coordinates of point H, given the midpoint of GH and the coordinates of point G.
To find the coordinates of point H, we can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints.
If the midpoint of GH is (1,-4) and the coordinates of point G are (3,-5), we can write: (1,-4) = [(3 + x)/2, (-5 + y)/2]
where x and y are the coordinates of point H. We can solve for x and y as follows:
2(1,-4) = (3 + x, -5 + y)
(2, -8) = (3 + x, -5 + y)
2 = 3 + x --> x = -1
-8 = -5 + y --> y = -3
Therefore, the coordinates of point H are (-1, -3).
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Other than itself, which angle is congruent to
WE CAN USE THE GRAPH THAG CA HELP US IN THE PROBLEM
verify the identity (cos 2x)/(sin x)=csc x-2sinx
Use identities:
cos 2x = 1 - 2sin² xcsc x = 1 / sin xThen apply to the left side of the given equation:
cos 2x / sin x = Substitute(1 - 2sin² x) / sin x = Distribute1 / sin x - 2sin² x / sin x = Simplifycsc x - 2sin x AnswerProved
