Answer: 0.35x + 12.00 = 14.35
Explanation: You would make sure to include the x since we are unsure of how many apples to bought, we know the total it will be at the other side of the equal sign, she spent 12 on her groceries so we would add that to the number of apples she got.
the quotient of y and 4 is at most 19
The inequality of the statement is y/4 ≤ 19
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement represented as
the quotient of y and 4 is at most 19
The variable in the above statement is y
This means that the quotient of y and 4 cannot exceed 19
The term cannot exceed implies less than or equal to
So, we have the following representation
y/4 ≤ 19
Hence, the statement is
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This is for geometry I need to know step by step appreciate it
For the given similar triangles, the value of x = 5.
What are similar triangles used for?Similar triangles share the same associated angle measurements and proportional side lengths.
Due to their similar shapes, two figures that are not always the same size can appear comparable. We might claim, for instance, that all circles are equivalent. Squares and equilateral triangles share similar characteristics. Although similar figures need not be congruent in order to be comparable, congruent figures are always comparable.
Despite having the same shape, similar triangles have different diameters. In identical triangles, corresponding angles are equal. In analogous triangles, the ratio of the corresponding sides is the same. Any pair of equivalent sides' squares and any comparable triangle's area have the same ratio.
As the given triangles are similar,
the sides are in same ratio,
⇒ 56 / 8x - 5 = 24 / 15
⇒ 8x - 5 = 35
⇒ 8x = 40
⇒ x = 5
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Can someone write an equivalent expression to 8(y - 7)?
Answer: 8y-56
Step-by-step explanation: the equivalent expression is 8y-56
Answer: 8y - 56
Step-by-step explanation: Hello! Here are the steps to solve this:
8(y - 7) Use the distributive property, distribute 8 to y and 8 to -7
8y - 56 8 x y = 8y, 8 x -7 = -56
8y - 56 is an equivalent expression to 8(y - 7) because it is simplified. I hope this helps!
if an integer is randomly selected from all positive 2-digit integers, what is the probability that the integer chosen has (a) a 4 in the tens place? (b) at least one 4 in the tens place or the units place? (c) no 4 in either place?
The probability of 4 in the tens place is [tex]\frac{1}{9}[/tex], the probability of at least one 4 in the tens place or the units place is [tex]\frac{1}{5}[/tex], the probability no 4 in either place is [tex]\frac{4}{5}[/tex].
(a) total number of 2-digit terms =(99 - 10) + 1 = 90
n(s) = 90
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
number of 2 digits that have 4 in tens place = 40, 41, 42 ......49
n(a) = 10
P(A) =[tex]\frac{ n(a)}{n(s)}[/tex]
Substituting the values
P(A) = [tex]\frac{10}{90}[/tex]
P(A) = [tex]\frac{1}{9}[/tex]
Therefore, P(A) = [tex]\frac{1}{9}[/tex]
(b) From the previous one, we know the P(A) = [tex]\frac{1}{9}[/tex]
Number of 4's in units place = 14, 24, 34.....94 = 9
n(b) = 9
P(B) = [tex]\frac{ n(b)}{n(s)}[/tex]
Substituting the values
P(B) = [tex]\frac{9}{90}[/tex]
P(B) =[tex]\frac{1}{10}[/tex]
P(A and B) = [tex]\frac{1}{10}[/tex]
Using OR probability, we have
P(A or B) = P(A) + P(B) - P(A and B)
P([tex]\frac{1}{9}[/tex] or [tex]\frac{1}{10}[/tex]) = [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{10}[/tex] - [tex]\frac{1}{90}[/tex]
P([tex]\frac{1}{9}[/tex]or [tex]\frac{1}{10}[/tex]) = [tex]\frac{1}{5}[/tex]
Therefore, P([tex]\frac{1}{9}[/tex]or [tex]\frac{1}{10}[/tex]) = [tex]\frac{1}{5}[/tex]
(c) Probability of no 4 in either place = 1 - ( probability of 4 in either place)
= 1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]
Therefore, probability of no 4 in either place = [tex]\frac{4}{5}[/tex]
Therefore, the probability that the integer chosen has a 4 in the tens place is [tex]\frac{1}{9}[/tex], P([tex]\frac{1}{9}[/tex] or [tex]\frac{1}{10}[/tex]) = [tex]\frac{1}{5}[/tex], and probability of no 4 in either place = [tex]\frac{4}{5}[/tex].
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does anyone know how to read this I don’t know what it says
Find the selling price cost to store 30$markup 120%
well, the selling price is simply $30 plus 120% of that, hmmm what's 120% of 30 anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{120\% of 30}}{\left( \cfrac{120}{100} \right)30}\implies 36~\hfill \underset{selling~price}{\stackrel{30~~ + ~~36}{\text{\LARGE 66}}}[/tex]
What is the quotient of 154,504 divided by 28 using standard algorithm
Answer
5518
28/154504
154504
1 4 0
1 4 5
1 4 0
5 0
2 8
2 2 4
2 2 4
0
Solve each trigonometric function IN THE INTERVAL [0, 2)
3 sec2x − 2 tan2x − 4 = 0
The intersection of the graph is (0.65, 1.073). Then the solution of the equation the interval of [0, 2) will be 0.65.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The trigonometric function is given below.
3 sec2x − 2 tan 2x − 4 = 0
Simplify the equation, then we have
3 sec2x − 2 tan 2x − 4 = 0
3 / cos 2x − 2 sin 2x / cos 2x = 4
3 − 2 sin 2x = 4 cos 2x
(3 − 2sin 2x)² = 16 cos² 2x
The graph of the functions is drawn below.
From the graph, the intersection of the graph is (0.65, 1.073). Then the solution of the equation the interval of [0, 2) will be 0.65.
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Jasmine's average speed was 33 3/4 miles per hour.
How far did she travel if it took her 3 1/5 hours?
A. 79 1/2 miles
B. 89 1/2 miles
C. 98 miles
D. 108 miles
The distance travelled by Jasmine in 3 1/5 hours is 108 miles.
What is the distance travelled by Jasmine in the given time?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed = 33 3/4 miles per hourElapsed Time = 3 1/5 hoursDistance = ?Plug in given values into the above equation and solve for distance.
Speed = Distance / time
Distance = Speed × Time
Distance = 33 3/4 × 3 1/5
Convert to improper fraction
Distance = (33 × 4 + 3)/4 × ( 3 × 5 + 1)/5
Distance = 135/4 × 16/5
Distance = 2160 / 20
Distance = 108 miles
Therefore, the distance covered is 108 miles.
Option D) 108 miles is the correct answer.
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Please help I need the answers ASAP.
Question 6:
The relationship between ∠2 and ∠7 is that they are corresponding angles.
Question 8:
Since ∠1 and ∠2 are alternate exterior angles, m∠2=m∠1 so 180°
Question 9:
Options A, C, and D are correct.
*Note*
For option B the angles are supplementary.
For option E the angles are vertical angles.
Question 10:
∠1 and ∠2 lie in the interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal.
A coffee shop has a group of seats at the counter and t individual tables, where each
table has the same number of seats. If 2t + 8 represents the total number of seats in the
restaurant, what does 8 represent?
a)the number of seats at each table
b) the number of seats at the counter
c) the total number of customers in the coffee shop
d) the total number of tables in the coffee shop
In the expression 2t+8, 8 represents the number of seats at each table.
What is Expression?An expression is combination of variables, numbers and operators.
Given that A coffee shop has a group of seats at the counter and t individual tables.
where each able has the same number of seats.
2t + 8 represents the total number of seats in the restaurant.
8 represents the number of seats at each table and 2t is the number of individual seats.
Hence, in the expression 2t+8, 8 represents the number of seats at each table.
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Given the function h(x)=3x, which statement is true about h(x)?
O The function is decreasing on the interval (-∞, 0).
O The function is increasing on the interval (-∞, 0).
O The function is decreasing on the interval (0, ∞).
O The function is increasing on the interval (0, ∞).
Answer:
Two statement are true.
O The function is increasing on the interval (-∞, 0).
O The function is increasing on the interval (0, ∞).
Step-by-step explanation:
The function h(x) = 3x is a linear function (straight line) with a slope of 3, and a y-intercept of 0. The constant, positive slope means that h(x) will increase over the interval (-∞, ∞).
See the attached graph.
A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands:
t (in seconds)
h (in feet)
0
4000
5
3500
10
3000
15
2500
20
2000
25
1500
Is this function linear? If it is, what is the slope? Use the formula m = StartFraction delta h Over delta t EndFraction.
a.
No, this is not a linear function.
b.
Yes, this function is linear; the slope is 500 feet/second.
c.
Yes, this function is linear; the slope is 100 feet/second.
d.
Yes, this function is linear; the slope is -100 feet/second.
Answer:
d. Yes, this function is linear; the slope is -100 feet/second.
Step-by-step explanation:
Find the difference in height at two different time periods.
If
Δh = difference in height values
Δt = difference in seconds
then
[tex]\mathrm{slope = \dfrac{\Delta h}{\Delta y}}[/tex]
Take the difference in heights at t = 0 and t = 5
The height drops from 4000 to 3500 feet so Δh = 3500 - 400 = -500
Δt = 5- 0 = 5 seconds
slope = -500/5 = -100
If you compute the slope between any pair of heights and time difference you will get the same value
So slope is constant indicating a linear function
simplify the expression
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.
The equation has one solution
The solution to the equation is x = 3
How to solve the equation4(2x – 5) = 4
To solve this, we would first have to open the bracket.
4 * 2x - 4*5 = 4
8x - 20 = 4
We would want to have the variable x stand on its own
so we take like terms
8x = 4 + 20
8x = 24
To get the value of x divide through the equation by 8
x = 24 / 8
x = 3
The solution is just one at x = 3
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Please help I really need it
Kelly's brothers age after 4 2/3 is 23 12/24 years.
What is Fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
What is mixed fraction?
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
We have ;
Kelly's Brother is 18 7/8 year old.
We have to calculate;
His age after 4 2/3 years.
So,
⇒ 18 7/8 + 4 2/3
⇒ 151/8 + 14/3
⇒151 x 3 + 14 x 8/24
⇒453 + 112 /24
⇒565/24
⇒23 13/24 year old
Hence , his age after 4 2/3 is 23 13/24 years.
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$37 dinner; 15% tip what can I do to get the answer
Answer: $5.55
Step-by-step explanation: 15% = 0.15
37 / 0.15 = 5.55
Find the equation for the circle with a diameter whose endpoints are (2,−5​) and (-3,1).
Write the standard equation for the circle.
(Use integers or fractions for any numbers in the equation.)
The equation for the circle with a diameter whose endpoints are (2, -5) and (-3, 1) is (x - 1)^2 + (y - 1)^2 = 13.
The endpoints are (2, -5) and (-3,1).
The standard form equation for a circle is known as
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where (a, b) are the center's coordinates and (r) is the radius.
Taking into account the stated endpoints of the diameter. The center will then be at the midpoint, and the radius will be the distance between the center and either of the two endpoints.
Calculating the midpoint is as follows:
[tex]\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
where, [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points.
Now putting the values
[tex]\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(\frac{-2+4}{2}, \frac{3-1}{2}\right)[/tex]
[tex]\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(\frac{2}{2}, \frac{2}{2}\right)[/tex]
[tex]\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(2, 1)[/tex]
Now we determine the equation of circle.
The center (2, 1) and the terminal are the two points (-2, 3).
r = [tex]\sqrt{(-2-1)^2+(3-1)^2}[/tex]
r =[tex]\sqrt{(-3)^2+(2)^2}[/tex]
r = [tex]\sqrt{9+4}[/tex]
r = √13
Now we can write the equation of circle as:
(x - 1)^2 + (y - 1)^2 = (√13)^2
(x - 1)^2 + (y - 1)^2 = 13
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The complete question is:
Find the equation for the circle with a diameter whose endpoints are (2, -5) and (-3, 1).
Write the standard equation for the circle.
+
At a sale this week, a sofa is being sold for $173.60. This is a 72% discount from the original price.
What is the original price?
The original price of the sofa before the discount is $241.11.
What are percentages?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Let the original price of the sofa be x.
Given that 72% of the original price is $173.60, this can be written mathematically as follows:
72/100 × x = 173.60
72x = 17360
x = 241.11
Hence, the original price of the sofa before the discount is $241.11.
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kieron has 13 workers he can use for a job. he knows 6 workers would take 14 and a half days. show he has enough workers to finish the job in 7 days
To complete the piece of work Kieron needs 12.42 workers. He able to complete the work in 7 days.
What is the unitary method?
The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Given that 6 workers would take 14 and a half days.
In other words, to complete a piece of work in 14.5 days he needs 6 workers.
Now apply the unitary method,
To complete a piece of work in 1 day he needs 6×14.5 workers.
To complete a piece of work in 7 days he needs (6×14.5)/7 workers.
= 12.42
He has 13 workers and to complete the piece of work he needs 12.42 workers. Thus he was able to complete the work in 7 days.
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Between the hours of 10 P.M. and 6 A.M., the temperature decreases an average of a degree per hour. How long, in hours and minutes, will it take for the temperature to decrease by 5 °F ?
Algebraic equation:
solution:
Answer:
5 hours
OR
300minutes
Step-by-step explanation:
1 degree lost 1 hour
5 degrees lost (5×1) hours
5hours
1 hour=60 minutes
5hours= (5×60)
300minutes
The distance between 2 cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers.
Write you answer as a number without units.
Answer: 70
Step-by-step explanation:
70 kilometers if 3.5 centimeters is the distance and each centimeter represents 20 kilometers, 3.5 times 20 is equal to 70
The equation of the line is ____?
Answer:
Step-by-step explanation: using the y-intercept form, I see the y-intercept is 40 , at the point (0,40)
and we have a point (4,160), so
slope = (160-40)/(4-0) = 30
equqtion: y = 30x + 40 or 30x - y = -40
a tin box of 1 m length, 85cm width and 60cm depth is to be made. if the box is without top, find the area of the tin required to make the box and the cost of tin at the rate of 0.50 Rupees per sq. cm
The area of the tin box without the top is 39100 square cm.
The cost of making this tin box is Rs. 19550.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A tin box of 1 m in length, 85cm in width, and 60cm in depth is to be made.
We know the total surface area of a cuboid is 2(lw + wh + wl).
Therefore, The surface area of the cuboid without the top would be,
= 2(lw + wh + wl) - (l×w).
= 2(100×85 + 85×60 + 85×100) - (85×60).
= 2(22100) - 5100.
= 44200 - 5100.
= 39100 square cm.
The cost of making this tin box is Rs.(39100×0.50).
= Rs. 19550.
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How do you isolate the variable in x + 5 = 12?
6. Four friends are going into business together and have agreed to evenly
split the rental cost of their new company's office space. Each friend
wants to pay no more than $80 per month for their share of the rental
cost. What inequality represents the situation, where x is the total cost of
renting the office space?
Answer: C.
Step-by-step explanation:
since the four friends are SPLITTING the rental cost, it would be dividing.
Then, since it says NO MORE THAN it would be less than or equal to as the symbol for the inequality.
Please help me this is driving me crazy
Answer:
24 days = 1500 tables
25 days = Fewer than 1500 tables
Step-by-step explanation:
So we have the inequality of < which is fewer than. Let's start by labeling all the numbers given.
What we want to find is how many days, so we'll make days = x
2100 is the initial and they sell 25 a day... 25 a x.
Combining them all we get a basic inequality of:
2100 - 25x < 1500
Let's get X alone.
Subtracting 2100 from both sides gives you
-25x < -600.
We have negatives on both sides. For me, if I see that, I make both of them positive;
25x < 600
Last step is to divide the 25 out of the X which means you'll divide 25 by 600 also
X = 24
Which means day 24 will be exactly 1500. We wanted fewer though, so adding a day gives you an answer of 25 days.
if she needs to allocate her waking time of 15 hours between these two activities, how much studying is she going to do per day?
She would be doing 9 hours of studying per day and 6 hours of other activities. This is because 15 hours divided by 9 hours of studying and 6 hours of other activities would equal the same amount of time allocated to each activity.
The amount of studying she is going to do per day is 9 hours, and the amount of other activities she is going to do per day is 6 hours. This means that she will be dedicating roughly 60% of her waking hours to studying and 40% to other activities. This is a good balance between the two activities, and it will ensure that she is able to adequately focus on both her studies and other activities.
This balance will also help her to stay motivated and not become overwhelmed by her studies. Having a set amount of time for both activities will also help her to organize her day and stay on track. It will give her a sense of structure and allow her to plan her day accordingly.
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PLLZZZ HELP!!!
20. The bee population in a certain area is declining at an uninhibited rate of 36. 5% per year. How long will it take for that population to be one-fourth of the initial population?
5. 9 years
1. 6 years
11. 3 years
3. 8 years
The time that it would take for the population to decrease by one fourth is 3 years. Option C
What is population growth?
We know that when we talk about population growth, we are talking about the increase in the population of the species and this can be regarded as a kind of an exponential growth problem.
We know that we can write;
P = Poe^-rt
P = population at time t
Po = initial population
r = population growth rate
t = time taken
Then we have that at the said time, P = 1/4Po
Hence;
1/4Po = Poe^-0.365t
1/4 = e^-0.365t
0.25 = e^-0.365t
ln0.25=ln e^-0.365t
-1.386 = -0.365t
t = 3 years
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Help me please and thank you !!!!
The simplification of qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹ using positive exponent is expressed as [tex]$ \frac{s^9}{q^8r^4}[/tex]
What is a positive exponent?A positive exponent indicates that the base should be multiplied by that many.
An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. Negative exponents like xn can be rewritten as 1 / rs. As an illustration, qr^-4 s^6 q ^-8 s^6 q^-1 rs^6
The Power Rule for Exponents is a further exponent rule that follows from this. You multiply the exponents while keeping the base constant to simplify a power of a power. As an illustration, b for any positive s^6 q ^-8 s^6 q^-1 rs^6 number x and integers q and s.
⇒ qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹
⇒ qr⁻⁴ × 1q⁻⁸r⁻¹×1q⁻¹rs⁹
⇒ qr⁻⁴ × 1q⁻⁸r⁻¹×1q⁻¹rs⁹
⇒ qr⁻⁸ × r⁻⁴ × s⁹
[tex]$ \Rightarrow \frac{1}{q^8} \times \frac{1}{r^4} \times s^9[/tex]
[tex]$ \Rightarrow \frac{s^9}{q^8r^4}[/tex]
Thus , The simplification of qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹ using positive exponent is expressed as [tex]$ \frac{s^9}{q^8r^4}[/tex]
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