The least integer of the four consecutive even integers is 42
Determining integerFrom the question, we are to determine the least integer.
Let the least integer be x
From the given information,
"the sum of four consecutive even integers is 180"
Then,
We can write that
x + (x + 2) + (x + 4) + (x + 6) = 180
x + x + 2 + x + 4 + x + 6 = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42
Hence, the least integer is 42
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how to solve h(x)+4x-2 find h(-9)
Answer:
-9(×)+4×-2
-9×+4×-2
-5×-2
Answer: 10
Step-by-step explanation:
plugin -9 to the equation
-9x+4x-2
combine like terms
-5x - 2
10x
I think I am not sure though...
Which fractions are equivalent to 0.63? Select all that apply.
7/11, and 63/99 = .636363636 [repeating]
HELP WITH ALLL OF THIS DUE TONIGHT ‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
1. x = 3 and y = 1
2. 7 ; 4 (no solution)
3. x = 4 and y = 3
4. x = 10/9 and y = -7/9
5. (No Solution)
6. x = -4 and y = 2
7. x = 6 and y = 5
8. x = -4 and y = 7
9. x = -6 and y = -1
10. x = 5 and y = -2
your very welcome
audio button question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$ question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$
The equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1) .
In the question,
it is given that ,
the parabola passes through (0,-18) and has x intercepts as 9 and 1 .
The intercept form of the equation of parabola is given by
y = a(x-p)(x-q) , where a is the constant
and p , q are the x intercepts .
Given that the parabola has x intercepts as 9 and 1 , So
equation becomes
y = a(x-9)(x-1) .....(i)
Since parabola passes through the points (0,-18) ,
hence , point should satisfy the equation ,
So putting y = -18 and x=0 , we get
-18 = a(0-9)(0-1)
-18 = a(-9)(-1)
-18 = 9a
a = -2
Substituting a= -2 in equation (i) ,
we get the equation of parabola as y = -2(x-9)(x-1) .
Therefore , the equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1) .
The given question is incomplete , the complete question is
Write an equation of the parabola in intercept form that passes through (0,-18) with x-intercepts of 9 and 1 .
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Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi
The volume of cylinder is 1152π cm³.
What is volume?
Volume is a measurement of three-dimensional space that is filled. It is frequently mathematically quantified using SI-derived units (such as the cubic metre and litre) or other imperial units (such as the gallon, quart, cubic inch). Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies. Volume was measured in ancient times using similar-shaped natural containers and, subsequently, standardized vessels. The volume of several simple three-dimensional forms may be easily computed using mathematical methods.
Radius of a sphere = 6 cm
Volume of a sphere = (4/3)πr³ = (4/3).π.6³ = 288π cm³
Therefore, volume of cylinder = 288π x 4 = 1152π cm³
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Which set of numbers is correctly ordered from greatest to least?
mc028-1.jp g
mc028-2.jp g
mc028-3.jp g
mc028-4.jp g
The set of numbers that is correctly ordered from greatest to least is; option D:
2.4√3π, 221/30,_
7.36 7¹/₃, How to arrange the numbers in descending order?We are given the numbers; 7¹/₃, 221/30,
_
7.36, 24√3π
Now, let us convert each number to decimal before we arrange in descending order;
7¹/₃ = 7.3333
221/30 = 7.3667..
_
7.36 = 7.3667...
2.4√3π = 7.3679
Thus, we can clearly see that 2.4√3π is the greatest while 7¹/₃ is the least and as such, the order is;
2.4√3π, 221/30,_
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What is the product of -10/12 × -5/7
Answer: 25/42
Step-by-step explanation. hope it helps
x^3 +2x^2 -19x -20 =0
x raise to Power 3 + 2 x raise to power 2 - 19 x - 20 equals to 0 solve
44 less than the product of 1 and x
Answer: -44
have a good day
:/
Addison is working two summer jobs, making $10 per hour washing cars and $22 per hour tutoring. Addison must earn a minimum of $170 this week. Write an inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.
The inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week is 5ww + 11tt ≥ 85.
Amount earned by Addison per hour in washing cars = $ 10
Amount earned by Addison per hour in tutoring = $ 22
Minimum amount Addison must earn this week = $ 170
We have to find an inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.
Based to the data given in the question, we can write the inequality,
10ww + 22tt ≥ 170
Dividing the inequality by 2, we get
5ww + 11tt ≥ 85
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Which fraction is equivalent to 0.35?
Answer:
B ,I think
Step-by-step explanation:
Answer: B
Step-by-step explanation: 35÷100=0.35
A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?
The cost for 1.42 kg of this cheese will be $ 31.44 .
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.
Why is the unitary technique used? What is it?In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.
How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.
Given that 0.429 kg of cheese cost $9.50
As a result, the price of 1 kg of cheese is $9.50/0.429, which is $ 22.14.
As a result, 1.42 kg of cheese will cost you $22.14 * 1.42 = $31.44.
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For a smoothie, Isaac needs 3 quarts of strawberry puree, which is sold in bottles of 1 pint and bottles of 1 cup. He already had 1.75 quarts of puree. If he wants to buy exactly three bottles in total, how many of each bottle should he buy?
pint bottle(s)
cup bottle(s)
Isaac will buy 2 pints and 1 cup of strawberry puree if he wants to buy exactly three bottles.
Given that:-
Quantity of strawberry puree Isaac needs = 3 quarts
Quantity of strawberry puree Isaac already have = 1.75 quarts
Also,
Strawberry puree is available in bottles of 1 pint and bottles of 1 cup.
We have to find the number of bottles each of pint and cup will Isaac need if he want to buy exactly in 3 bottles.
We know that,
1 pint = 0.5 quarts
1 cup = 0.25 quarts
Quantity of strawberry puree needed to be bought = 3 - 1.75 = 1.25 quarts.
Let the number of bottles of pint be x and,
The number of bottles of cup be y
Then, we can write
0.5x + 0.25y = 1.25 ...(1)
x + y = 3 ... (2)
Solving the linear equations in 2 variable by elimination method, we get
Multiplying (1) by 2, we get,
x + 0.5y = 2.5 ...(3)
(2) - (3)
0.5y = 0.5
y = 1
As, x + y = 1
x = 2.
Hence, Isaac will buy 2 pints and 1 cup of strawberry puree.
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A triangle has base 8 cm and perpendicular height 5.2 cm
Diagram not drawn accurately
8 cm
Work out the area of the triangle.
Optional working
5.2 cm
Answer:
cm²
The area of the triangle is 20.8 cm².
We are given a triangle.The length of the base of the triangle is 8 cm.The perpendicular height of the triangle is 5.2 cm.If the base and height of a triangle are known to us, then we can easily calculate the area of the triangle.To find the area of the triangle, we will use the formula mentioned below :The area of the triangle is half the product of its base and its perpendicular height.The area of the triangle is (1/2)*8*5.2.The area of the given triangle is 20.8 cm².To learn more about triangles, visit :
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Which decimal is equivalent to 5 over 9?
Answer:
0.5 repeating
Step-by-step explanation:
This is because any fraction with a denominator of 9 is a repeating decimal.
The stem-and-leaf plot shows the test scores for a chemistry class. How many students had a score greater than 90 points? Stem and leaf plot. Vertical line separates each stem from its first leaf. First row. Stem 5. Leaf 2. Second row. Stem 6. Leaves 4,6. Third row. Stem 7. Leaves 0,1,4,6,8,8,8. Fourth row. Stem 8. Leaves 0,1,2,3,4,6,8,8. Fifth row. Stem 9. Leaves 1,2,3,4,6,7. Six row. Stem 10. Leaf 0. Key. 7 vertical line 4 equals 74.
=========================================================
Explanation:
The key states [tex]7 \big| 4= 74[/tex]
It means that a stem of 7 and leaf of 4 combine to the value 74
We're interested in scores greater than 90, so we'll be focusing on the stems of 9 and 10 only
Stem 9. Leaves 1,2,3,4,6,7. Stem 10. Leaf 0Stem9 has 6 leaves while stem10 has 1 leaf. That's 6+1 = 7 leaves total, which means we have 7 scores above 90. If there was a leaf of 0 for stem9, then we'd have to ignore it (since it forms the score 90). But we don't have to worry about that for this case.
1. Find all the real square roots of 0.0036. (1 po
0.06 and -0.06
0.0018 and -0.0018
0.1897 and -0.1897
0.6 and -0.6
The real square roots of 0.0036 will be A 0.06 and -0.06.
What are square root?The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."
It should be noted that this is a component of a number that yields the original number when multiplied by itself
The square root will be illustrated as:
= ✓0.0036
= 0.06 and -0.06
Therefore, the correct option is A.
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A line has a slope of 7 and includes the points (5, f) and (7, 8) what is the value of f
Answer:
-6
Step-by-step explanation:
First using the point slope form to find the equation for the line.
y -y1 = m (x-x1)
you plug in the given x and y values (7, 8)
which gives you y - 8 = 7(x-7)
isolate for y: y=8+7(x-7)
Now plug in 5 into the equation you got to solve for f
y = 8 + 7 (5-7)
y = 8 + 7(-2)
y = 8 - 14
y = -6
a survey of magazine subscribers showed that 45.6% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 32% rented a car during the past 12 months for both business and personal reasons.
Probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.676, while the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons is 0.324
Part a
Probability that a subscriber rented a car during the past 12 months for business or personal reasons:
P(Business or Personal)
= P(Business) + P(Personal) - P(Both)
= 0.456 + 0.54 - 0.32
= 0.676
Part b
Probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons:
P(Did not rent for business or personal)
= 1 - 0.676
= 0.324
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Graph the following inequality. x> -4
In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
If one student is picked randomly in the class, the probability of a student being long haired female is 9 out over 20 students.
What is probability?Probability is defined as the ratio of outcomes that are more likely to occur than all other outcomes of an event. For an experiment with 'n' number of outcomes, the number of favorable outcomes can be denoted by the symbol x. To calculate the likelihood of an event, use the following equation.
Probability (event) = favourable outcomes/ total outcomes (x/n)
Let the number of students in a particular college be 100
Then, if 60% are female that means 60 students are girls (60/100 × 100)
Now, it is said that 75% of females have long hair, that means
75% of 60 girls have long hairs, if we calculate then we find that
⇒ 75/100 × 60
⇒ 3/4 × 60
⇒ 3 × 15
⇒ 45 girls are long haired
Now the probability of a female being longed hair is
⇒ favourable outcomes/ total outcomes
⇒ 45/100
⇒ 9/20
Thus, the probability of a student being long haired female is 9 out over 20 students.
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(-2, -1) and (8, 7) distance between each pair
The distance between (-2 , -1) and (8 , 7) is:
= 12.81 units
solve?
Given two points (-2 , -1) and (8 , 7)
formula to find distance is,
d=√((x2 – x1)² + (y2 – y1)²)
here, x1 = -2 , x2 = 8 , y1 = -1 and y2 = 7
by substituting the values ,
d = [tex]\sqrt{(8-(-2))^{2} + (7 -(-1))^{2}[/tex]
= [tex]\sqrt{10^{2} + 8^{2} }[/tex]
= [tex]\sqrt{100 + 64}[/tex]
= [tex]\sqrt{164}[/tex]
= 12.81 units
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Pls helppp 8,890 divided by 48
Answer:
185 R10 (185.21)
Step-by-step explanation:
considerthetypeofclothesdryer(gasorelectric) purchased by each of five different customers at a certain store. a. if the probability that at most one of these customers purchases an electric dryer is .428, what is the probability that at least two pur- chase an electric dryer? b. if p(all five purchase gas) 1⁄4 .116 and p(all five purchase electric) 1⁄4 .005, what is the probability that at least one of each type is purchased?
The probability of at least two purchasing an electric dryer is 0.572 and the probability of at least one type of purchase is 0.879.
What are examples and probability?
It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability.For instance, the theoretical chance of receiving a head while tossing a coin is 12.a dryer
1 - 0.428 = 0.572
P(all 5 for purchasing gas) = 0.116
P(all 5 electrical purchases) = 0.005
P(at least 1 of each type purchased) = 1 -(P(only 1 type is purchased))
= 1 - [ P(all 5 for purchasing gas) + P(all 5 electrical purchases)
= 1 - 0.116 - 0.005
= 1 - 0.121
= 0.879
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could you help with this question please, thank you
Answer:
x = 4.5 and y = 3
Step-by-step explanation:
Area of a rectangle = length x width
= 12 (2x - y)
Area is given as 72
∴ 12 (2x - y ) = 72
Divide both sides by 12 =>
12/12 (2x - y) = 72/12
2x - y = 6 [1]
The kite perimeter is 33
Your equation is correct:
2(3x) + 2(y) = 33
=> 6x + 2y = 33 [12]
So we have two equations and we can solve them as follows
Multiply [1] by 2
2(2x -y) = 2 x 6
4x - 2y = 12 [3]
Coefficients of y in equations [1] and [2] are same but of opposite sign
Add [1] and [3]
6x + 2y = 33
+
4x - 2y = 12
-------------------------
10x + 0 = 45
=> 10x = 45
Divide both sides by 10
=> x= 45/10
x = 4.5
Substitute for x in equation [1]: 2x - y = 6
=> 2(4.5) - y = 6
=> 9 - y = 6
Subtract 9 from both sides
9 - 9 - y = 6 - 9
-y = -3
Multiply by -1 both sides
y = 3
Answer: x = 4.5 and y = 3
find the distance between points S(-2,4) and T(3,9) Round your answer to the nearest tenth
Answer:
Distance between coordinates is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.
Length of ST = √(-2-3)²+(4-9)²
= √(-5)²+(-5)²
= √25+25
= √50
= 7.07
= 7.1 (nearest tenth)
Decimals question I need help with:
Answer:
See below
Step-by-step explanation:
Look at 100th place if it is ≥5 round the 10th place up by 1 o/w leave it alone
22.7
22.8
22.8
22.7
22.8
22.7
Which of the following is the solution to the equation 8x+7=2x+37? (1) x = 5 (2) x = 11 (3)x=3 (4) x=9
Answer:
x = 5
Step-by-step explanation:
8x + 7 = 2x + 37 Subtract 2x from both sides of the equation
6x + 7 = 37 Subtract 7 from both sides
6x = 30 Divide both sides by 6
x = 5
Or you could plug in 5 for x and solve. If the equation is true, that is the answer
x= 5
8x + 7 = 2x + 37
8(5) + 7 = 2(5) + 37
40 + 7 = 10 + 37
47 = 47
If you try this with any other number, it will not equal. Lets try x = 11
8x + 7 = 2x + 37
8(11) + 7 = 2(11) + 37
88 + 7 = 22 + 37
95 ≠ 59 so x does not equal 11
9. In the state of North Carolina, the sales
tax rate is 8%. How much would you pay in
sales tax for a pair of mittens that cost $28?
Answer:
$2.24
Step-by-step explanation:
convert 8% to .08
next multiply that by the cost, 28
.8x28=2.24
Isabelle made a punch for her birthday celebration by combining 6 liters of orange juice, 4 liters of pineapple juice, and 6 liters of soda. she then poured equal amounts of all the punch into 4 different containers. how much punch did francesca pour into each container?
Answer:
4 liters
Step-by-step explanation:
6+4+6 = 16
16/4 = 4