Linear equations - each backpack costs $14 and 5 cents .
What are linear equations with one variable?
A linear equation is a one-variable equation of a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.
First, we categorise one-variable linear equations into one of three categories: identity, conditional, or inconsistent. The variable's identity equation holds true for all possible values.
let us assume that the backpack costs $x.
We are informed that each kit included a backpack and school supplies totaling $18.
there are 4 school supply kits in total,
according to the above conditions we have,
4(18+x)
we are also given that she spent a total of $130, thus,
4 (18+x) = 130
72 + 4x = 130
4x = 130 - 72
4x = 58
dividing both the sides with 4,
x = 58/4
thus, x = 14.5
therefore each backpack costs $14 and 5 cents
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Graph the following inequality. x> -4
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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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
help pls
I would use 2 for this right
Step-by-step explanation:
yeah
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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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
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
Pls helppp 8,890 divided by 48
Answer:
185 R10 (185.21)
Step-by-step explanation:
A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5
The minimum number is 9 GB to make the unlimited cheaper.
What is a gigabyte?A gigabyte is a specific unit of data that's equal to about 1 billion bytes of data. The term gigabyte is typically used to describe the amount of stored data or the capacity of a storage device. For example, an HDD might offer 500 GB of raw capacity but is currently storing only 200 GB of data.
Given that,
A tablet data provider offers different plans for data usage
The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5.
Assume that he will use n gigabyte per month
The monthly fee is $29.99 for 5 GB
∵ The cost per GB after the first 5 GB is $10
∵ The number of GB whose cost is $10 is (n - 5)
∴ His monthly fees = 29.99 + 10 (n - 5) ⇒ current plan
The fees of the unlimited is $59.99 per month
∵ We need the unlimited cheaper than current plane
Let the current plan greater than the unlimited plan
∴ 29.99 + 10 (n - 5) > 59.99
Subtract both sides by 29.99
∴ 10 (n - 5) > 30
Divide both sides by 30
∴ n - 5 > 3
Add both sides by 5
∴ n > 8
Hence, The minimum number is 9 GB to make the unlimited cheaper.
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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)
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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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
What is the product of -10/12 × -5/7
Answer: 25/42
Step-by-step explanation. hope it helps
what must be true in order for you to be able to solve a system of linear equations using the elimination method?
In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.
As given,
Consider two linear equations
a₁ x +b₁ y +c₁=0 _(1)
a₂ x +b₂ y +c₂=0 _(2)
Now to eliminate x variable equate coefficient of x with opposite sign
Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method
a₁ a₂ x + b₁ a₂ y + c₁ a₂=0
a₁ a₂ x +a₁ b₂ y + a₁ c₂=0
- - -
0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0
Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.
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You thought i was filli n you ?
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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 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
a container is in the shape of a square based prism with base measurement of 3m and the height is 5m. The top and bottom are made of steel and the sides are made of aluminum. If steel costs $2.95/m^ and aluminum costs $1.57/m^, how much would it cost to make the container?
The cost for making the container is $28. 27
How to determine the cost of the containerFrom the information given, we have that;
The base of the square prism is 3mThe height of the square prism is 5mWe also have the following deductions;
The top and bottom are made of steelThe sides of the square prism are made of aluminumThe properties of a square prism are;
It has 8 vertices, 6 faces and 12 edgesOpposite sides are parallel to each otherOpposite sides are equal to each otherOpposite angles are equal each otherThe diagonals of the prism bisect each otherThe cost for aluminum = 10($1.57)
expand the bracket
The cost for aluminum = $10. 57
The cost for steel = 6($2.95)
The cost for steel = $17. 7
Total cost for the container = $10. 57 + $17. 7
Total cost for the container = $28. 27
Hence, the cost is $28. 27
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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
assume that births are randomly selected and of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
According to the statement the number of girls is significantly high. This was because of 50 birth, 49 are girls.
What are objective statement?Objective judgments are those that are based on or employ facts that can be observed or verified, particularly by scientific methods, and are independent of one's own thoughts, feelings, or preconceptions.
From the information, births are randomly selected and of the 50 births, 49 are girls. This illustrates that the number of girls as significantly high. The have a percentage of (49/50) × 100= 98%.
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Assume that births are randomly selected and of the 50 births, 49 are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Based on the information provided, the number of girls in the births cannot be categorized as significantly high, significantly low, or neither significantly low nor significantly high, solely through subjective judgment.
The description of "significantly high" or "significantly low" typically requires statistical analysis and comparison to a reference point or expected value. Without knowing the total number of births or having a reference point for the expected proportion of girls in the births, it is not possible to determine whether the number of girls is significantly high or low.
The term "significantly" in statistics usually involves assessing whether an observed value deviates from an expected value by a statistically significant margin.
Subjective judgment alone cannot accurately assess whether the number of girls in the births is significantly high or low. To determine significance, a statistical analysis would involve calculations such as calculating the expected proportion of girls, performing hypothesis testing, and assessing the p-value to make an informed judgment.
Without these quantitative measures, it is not possible to make an accurate subjective determination of the significance of the number of girls in the births.
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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.
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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Estimate 610+195/398
Answer:
242975
Step-by-step explanation:
you rewrite as a fraction
you calculate the sum
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.
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
i need help with this, thanks
Answer:
9
Step-by-step explanation:
Vertical angles are congruent, so:
[tex]16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9[/tex]
5b^-4 simplified. Please help
[tex] = \frac{1}{ ({5b})^{4} } \\ = \frac{1}{ {5}^{4} b^{4} } \\ = \frac{1}{625b^{4} } [/tex]
ATTACHED IS THE SOLUTION
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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(-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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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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