On solving the provided question, we can say that by equation 15+4 = total minutes, they can talk 19 minute
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x= total minutes -4 the 1st 4 minutes are included in the .30
total cost = .3 + .18 x
[tex]3 = .3 +.18 x\\2.7 = .18x\\2.7/.18 = x\\15 = x[/tex]
x = total minutes -4
15+4 = total minutes
they can talk 19 minute
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4⋅(2+5)
Line 1
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5
Line 2
The expression was rewritten using the
.
4
⋅
(
2
+
5
)
4⋅(2+5) equals
4
⋅
4⋅
which equals
.
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5 equals
+
+
which equals
.
Answer: 4⋅(2+5) = 4 * (2+5) = 4 * 7 = 28
Step-by-step explanation:
Line 1 shows the original expression and Line 2 shows the expression is simplified by using the distributive property.
4⋅2 + 4⋅5 = 8+20 = 28
So the final result is 28.
Given that the sum of three consecutive whole numbers with 5w as the middle number is equal to aw+b, what are the values of a and b? Fill in the blanks with the correct integers. a = ? b = ?
Answer:
[tex]a=15, b=0[/tex]
Step-by-step explanation:
The numbers are [tex]5w-1, 5w, 5w+1[/tex].
So. the sum is [tex]5w-1+5w+5w+1=15w \implies a=15, b=0[/tex].
As part of a quality-control program, 3 batteries from a box of 15 is chosen at random for testing. In how many ways can this test batch be chosen?a) 455 b) 3 c) 2,730d) 45 e) 6
This test batch can be chosen is 455 ways. (Option A).
The problem is asking for the number of ways to choose 3 batteries out of a box of 15.
This is a combination problem and the number of ways to choose k items out of a set of n items, without regard to the order of selection, is given by the binomial coefficient:
C(n,k) = n!/(k!(n-k)!)
where ! denotes factorial.
So in this case, we have:
C(15,3) = 15!/(3!(15-3)!) = 151413/(321) = 455
So, the answer is 455.
Therefore, This test batch can be chosen is 455 ways. (Option A).
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Convert 17 cm to decimeters
Answer: 1.7
Step-by-step explanation: First, let's see how many decimeters are in 1 cm. To find it, we must divide the cm by 10. So, we can do 17 / 10 or move the decimal one spot left. They should both = 1.7. I hope this helped!
13-45+3+26 = (a) 29 (b) 24 (c)28
answer: none it is -3
Complete multiplication sentence
8/2=8 x 1/?
Answer:
1/2
Step-by-step explanation:
i hope it helps you all
Need helpppp plsssssss
Answer:
C) 8 : 1
Step-by-step explanation:
To find our ratio, we will multiply both sides by 20 to get rid of fractions, this gives us:
[tex]\frac{2}{5} * 20 : \frac{1}{20} * 20[/tex]
8 : 1
So, the ratio is C) 8 : 1.
The reason the answer is C), and not B) is because C) is the most simplified form.
Hope this helped!
Answer:
The answer is C) 1:8
Step-by-step explanation:
2/5 is equal to 8/20
so if you compare 8/20 to 1/20 the answer is c
a student in stat 121 wants to estimate the average score on the stat 121 final exam from last semester. they asked 200 students who took the class last semester what their final exam score was and recorded it. what is the sample?
If a student in stat 121 wants to estimate the average score on the stat 121 final exam from last semester. The sample is: The 200 students interviewed.
What is sample?Sample can be defined as the data or information that are randomly collected from a group of population so as to reach or drawn a conclusion.
Based on the scenario the sample will be the 200 students who took the class last semester as the 200 students were randomly selected from a larger population so as to reach a conclusion.
Therefore we can conclude that the sample is the 200 students interviewed.
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How many types of roots are there for an equation?
There are two types of roots for an equation: real roots and complex roots. Real roots are the solutions of the equation where the values of the variables are real numbers, and complex roots are the solutions of the equation where the values of the variables are complex numbers.
There are two types of roots for an equation: real roots and complex roots. Real roots are the solutions of the equation where the values of the variables are real numbers. To find the real roots of an equation, one can use various methods such as graphing, factoring, completing the square, and the quadratic formula. If the equation is a linear equation, one can also use the slope-intercept form to find the real root. Complex roots are the solutions of the equation where the values of the variables are complex numbers. Complex roots are usually found using the quadratic and cubic formulas. These formulas involve complex numbers and can be used to solve equations with complex coefficients. The roots can also be found graphically by plotting the equation on a complex plane and finding the intersecting points. The real and imaginary parts of the root can then be determined.
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What are acute triangles called?
Answer: acute-angled triangles.
Step-by-step explanation:
Equilateral Acute Triangle. An equilateral acute triangle is that type of acute triangle that has all its interior angles measuring 60°.
Isosceles Acute Triangle.
Scalene Acute Triangle
a system of 5 identical components are connected in a series. if even one of the components fails, the entire system will fail. what is the probability that the system fails if the probability that each component fails is 0.1 and different components fail independently of one another.
So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.
The probability that the system fails is the probability that even one of the 5 components fails. Since the components fail independently of one another, we can use the probability of failure for each component and multiply it by the number of components to find the probability that the system fails.
The probability that the system fails is:
1 - (1 - probability of failure of one component)^(number of components)
Given that the probability of failure of each component is 0.1, the probability that the system fails would be:
1 - (1 - 0.1)^5 = 1 - 0.59 = 0.41 or 41%
So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.
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A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid? xy cm^3 x^2y cm^3 xy^2 cm^3 x^2y cm^3
For our pyramid, this gives us the volume of the pyramid (1/3)x²y.
Let the length of base be x and height be y
Volume of pyramid = [tex]\frac{1}{3}[/tex]× l× b× h
The volume of a right rectangular prism is found by finding the area of the base and multiplying by the height. This is because there are "layers" of the base from the bottom to the top, making the height the number of "layers."
However, in a pyramid, the shape comes to a point. This makes the volume of a pyramid 1/3 of that of the corresponding prism.
For our pyramid, the area of the base would be x(x) = x².
There are y layers of this base, so this would be x²y.
Since it is a pyramid, this gives us the volume of the pyramid (1/3)x²y.
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Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle. Marcella said that it is possible. Who is correct
Marcella is correct. A square is a type of rectangle.
A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides. Thus, it is not possible to draw a trapezoid that is also a rectangle. However, a square is a four-sided plane figure with four equal sides and all four right angles, making it a type of rectangle. Therefore, it is possible to draw a square that is a rectangle.
A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides.
Marcella is correct. A square is a type of rectangle.
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please help me.
What is
Answer:
90
Step-by-step explanation:
The symbol represented in the angle is the right angle symbol ∟
This means that the angle would be 90
Have a lovely day :)
Answer:
There's no m so I'm assuming you meant b.
The angle of b is 121
Step-by-step explanation:
The shape here is a heptagon. The formula for calculating the sum of interior angles is ( n − 2 ) × 180. *n represents the number of sides.
(7-2) × 180 There are 7 sides so plug that in.
(5) × 180 = 900 This means the shape's interior angles add up to 900.
Now, all we have to do is add up all the sides known and set it equal to 900.
c + d + e + f + g + a = 900
148 + 90 + 142 + 130 + 139 + 130 + b = 900
779 + b = 900
now subtract 779 from both sides to isolate b.
b = 121
What are the solutions of x4 − 10x2 9 0?
The solutions are x = ±1.73, ±3.87.
Given equation: x4 − 10x2 + 9 = 0
Rewrite equation as (x2 - 9)(x2 + 1) = 0
Set each factor equal to 0 and solve for x
x2 - 9 = 0
⇒ x2 = 9
⇒ x = ±3.87
x2 + 1 = 0
⇒ x2 = -1 ⇒
x = ±1.73
The given equation is x4 − 10x2 + 9 = 0. This can be rewritten as (x2 - 9)(x2 + 1) = 0. By setting each factor equal to 0 and solving for x, we get x2 - 9 = 0 which implies x2 = 9 and x = ±3.87. Similarly, x2 + 1 = 0 implies x2 = -1 and x = ±1.73. Therefore, the solutions of x4 − 10x2 + 9 = 0 are x = ±1.73, ±3.87.
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Que es un transportador?
Answer: it is a transporter or conveyer in english. Used for transporting goods
Step-by-step explanation:
What is the equation
of the line that passes through the point (-6, 3) and has
slope of -4/3
On solving the the provided question we can say that - here in the slope the equation will be y - 3 = 1(x+6) = y - x - 9 = 0
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
points are (-6,3)
y - y1 = m(x-x1)
y - 3 = 1(x+6)
y - x - 9 = 0
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A park has t tables spread equally among the 3 picnic areas.Write an expression that shows how many picnic tables are at each picnic area.
Answer:
8000
Step-by-step explanation:
bc if its 3 picnic its its 8000
Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom’s age is one less than three times my brother’s age. When you add all our ages, you get 87. What are our ages?”
Jada writes this equation for the sum of the ages: (x)+(x+3)+(x−2)+3(x+3)−1=87 . Match each term of the equation with its meaning.
Answer:
Step-by-step explanation:
x: Andre's Age
(x+3): Andre's Brother's Age
(x−2): Andre's Sister's Age
3(x+3): Andre's Mom's Age
87: The Sum of All Four Ages
y=x^{2}-2x-3 in vertex from
The vertex form is
y = (x - 1)^2 - 4.
What is vertex form?Generally, The equation of a parabola, which is a kind of quadratic function, may be written in a particular format known as the vertex form. The equation of the parabola may be written out in vertex form as follows:
y = a(x - h)^2 + k
If the vertex of the parabola is located at (h, k), and the leading coefficient is denoted by a. If an is positive, the parabola will have its lowest point at the vertex, and if an is negative, the vertex will have its highest point.
The vertex form is important because it makes it simple to determine where the vertex of a parabola is located, and it may also be used to establish the direction in which the parabola is pointing.
The vertex form of the equation y = x^2 - 2x - 3 is
y = (x - 1)^2 - 4.
The vertex of this parabola is at the point (1, -4).
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12.00 gram sample of brass (alloy of copper and zinc), is reported to
contain 4.21 grams of zinc, report percent mass composition of zinc and
copper.
Answer:
The percent mass composition of zinc in the brass sample is:
(mass of zinc / total mass of sample) x 100%
(4.21 g / 12.00 g) x 100% = 35.08% zinc
So the brass sample contains 35.08% zinc by mass.
To find the percent mass composition of copper in the sample, you can use the information that the sample is made of copper and zinc only, so you can use the difference between 100% and the percent zinc:
100% - 35.08% = 64.92% copper
So the brass sample contains 64.92% copper by mass.
Find the length of side xx in simplest radical form with a rational denominator.x 1
10/√3 is the length of side x in simplest radical form with a rational denominator.
What is simplest radical form?The fundamentals of radical form are simple. When a number or algebraic expression is under a radical, the term refers to that form of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.
Simply put, simplifying a radical eliminate any need to find more square roots, cube roots & fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
The triangle is a right triangle, therefore we will apply trigonometry
To obtain the value of X which is the hypotenuse :
We know that
Cosθ = adjacent / hypotenuse
Cos 30 = 5 / X
√3/2 = 5 / X
√3 / 2 × X = 5
X = 5 ÷ √3 / 2
X = 5 × 2 / √3
X = 10/√3
Thus, 10/√3 is the length of side xx in simplest radical form with a rational denominator.
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while traveling to europe, phelan exchanged 250 us dollars for euros. he spent 150 euros on his trip. after returning to the united states he converts his money back to us dollars. how much of the original 250 us dollars does phelan now have? round to the nearest cent. 1 european euro
Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.
First, we need to find out how many euros Phelan has left after spending 150 euros on his trip.
We are taking the exchange rate of 1 euro = 1.08 USD
He started with 250 US dollars, which he exchanged for 250 / 1.08 = 231.48 euros.
After spending 150 euros, he has 231.48 - 150 = 81.48 euros left.
To convert the euros back to US dollars, we need to multiply the number of euros by the exchange rate (1 US dollar = 1.08 euros)
So, Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.
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Thanks if you help and hope you have a great day
Answer:
its increases by 10 degrees
Step-by-step explanation:
If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, which of the following probabilities is not correct?
a. P(x ≥ 1) =.1587
b. P(x < 2) =.9772
c. P(x = 0) =.50
d. P(x ≤ 1) =.8413
If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.
The probability of all the events in a sample space adds up to 1.
Thus, If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.
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The manager of a sport store wants a 25% markup on the selling price of nike baseball gloves in order to have a markup of $50. how much can the manager afford to pay for each baseball glove?
$116.67
$66.67
$150
$200
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of amount $50 and a 25% markup on the selling price.
$50 / 0.25 = $200
To calculate the cost of the Nike baseball gloves with a markup of 25% and a margin of $50, use the following formula:
Cost = (Price + Markup) / (1 + Markup Percentage)
Cost = ($50 + $50) / (1 + 0.25)
Cost = $100 / 1.25
Cost = $80
Therefore, the manager can afford to pay amount $80 for each baseball glove.
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of $50 and a 25% markup on the selling price.
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Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden? The perimeter of a rectangle is 2ℓ+2w, where ℓ is the length and w is the width.
If Young is replacing fencing around his rabbit pens and garden , then to replace the two rabbit pens and his garden the number of feet of fencing required is 76 ft .
The Dimensions of the Rabbit Pen is :
the length of rabbit pen is = 3.5 ft ;
the width of the rabbit pen is = 4.5 ft ;
the Dimensions of the Garden are :
the length of garden is = 12 ft ;
the width of garden is = 10 ft ;
So , Perimeter of Rabbit Pen is = [tex]2\times (Length + Width)[/tex] ;
Perimeter = [tex]2\times (3.5 + 4.5)[/tex]
= 16 ft .
Since there are 2 rabbit pens ,
So , the Perimeter of two rabbit pen is = [tex]16+16[/tex] = 32 ft ;
And , Perimeter of Garden is = [tex]2\times (12 + 10)[/tex] = 44 ft .
Total Perimeter of Pen and Garden is = [tex]32+44[/tex] = 76 ft .
Therefore , Young would require 76 ft of fencing to replace the two rabbit pen and garden .
The given question is incomplete , the complete question is
Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden?
Item Length(ft) Width(ft)
Rabbit Pen 3.5 4.5
Garden 12 10
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What is the lateral surface area of this figure in cm2? Round to the nearest 10th. Hint: you will need Pythagorean Theorem to solve.
The surface area of the prism in this problem is given as follows:
46 cm².
What is a surface area?A surface area is given by the sum of all the areas that compose the figure.
The prism in this problem is composed as follows:
One square of side length s = 2 cm.Two right triangles of dimensions 2 cm and 7 cm.Two rectangles of dimensions 2 cm and 7 cm.The area of the square is given by the side squared, hence:
As = 2² = 4 cm².
The area of a right triangle is given by half the multiplication of the side lengths, hence:
At = 2 x 0.5 x 2 x 7 = 14 cm².
The area of a rectangle is given by the multiplication of the dimensions, hence:
Ar = 2 x 2 x 7 = 28 cm².
Hence the surface area of the prism is then obtained as follows:
S = As + At + Ar
S = 4 + 14 + 28
S = 46 cm².
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Please help me ASAP I need it for homework that needs to be done! Also show me the solution as clear as possible cause thats what I need! Thank you! Btw the problem is in the image below!
Answer:
[tex]x=16y^2-5[/tex]
Step-by-step explanation:
Lets solve for x.
[tex]\frac{\sqrt{x+5} }{4} =y[/tex]
Multiply both sides of the equation by 4.
[tex]\sqrt{x+5}=4y[/tex]
Eliminate the square root on the left side raising both sides of the equation to the power of 2.
[tex]\sqrt{x+5}^2=(4y)^2[/tex]
The square root and the exponent on the left side cancel out leaving us with
[tex]x+5=(4y)^2[/tex]
Distribute the exponent on the right side.
[tex]x+5=4^2y^2[/tex]
Simplify.
[tex]x+5=16y^2[/tex]
Subtract 5 from both sides.
[tex]x=16y^2-5[/tex]
i opened a grocery account at my bank with $150. every week thereafter, i withdraw $85 from the account to pay for groceries. if x is the number of weeks i've had the account, then y is the amount in the account. find an equation of a line in the form y
The equation of a line in the form y is y = 150 - 85x.
This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.
We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.
Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.
Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.
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