Answer:
6
Step-by-step explanation:
4(3)+(2)^2-(5)^2
12+4-10
16-10
6
Hannah's school hosted a book donation. There are
150
150150 students at her school, and they donated a total of
b
bb books! Hannah donated
3
33 times as many as the average number of books each student donated
The number of books donated by Hannah in terms of b will be b/50.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operators summation, subtraction, division, and multiplication involve.,
As per the given,
The average number of books donated will be,
Number of books/Total number of students
⇒ b/150.
It is given that Hannah donates 3 times as much as average,
3 x b/150 = b/50
Hence "Hannah will donate b/50 books, or b books, in terms of b".
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Complete question below,
Hannah’s school hosted a book donation. There are 150 students at her school, and they donated a total of b books. Hannah donated 3 times as many as the average number of books each student donated. How many books did Hannah donate? Write and expression
Plzzzzzzzz help with problem
the value of x is 3 and y is 5
Answer:
a) 2
b) 93
Step-by-step explanation:
a) 4x - 2y
4(3) - 2(5)
12 - 10
2
b) 2x^2 + 3y^2
2(3)^2 + 3(5)^2
2(9) + 3(25)
18 + 75
93
Dominic has a $60 gift card to starbucks. Each time he buys a drink, it costs him $4.50. Which equation describes the relationship between n, the number of drinks Dominic buys, and A, the amount in dollars remaining on his gift card?
Which situation best represents causation?
A. As the weight of a dog increases, the length of its tail decreases.
B. As the number of miles driven increases, the amount of gas used increases.
C. As the number of siblings a student has increases, the grade in the student’s class increases.
D. As the sale of winter coats increases, the amount of hot chocolate sold decreases.
The best represents causation is D, As the sale of winter coats increase the amount of hot chocolate sold decreases.
What is causation?Causation can be defined as the capacity of one variable to influence another. The first variable may bring the second into existence.
There are two types of causation:
factual cause is often established using the but for testProximate causation refers to a cause that is legally sufficient to find the defendant liableTherefore the correct option is D because the best way to represent causation is when a sale of winter coat increases the amount of hot chocolate sold decreases.
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A circle was inserted into a trapezoid. What is the area of the shaded region? Round your answer to the nearest tenth of a foot. 23 ft ft 10 ft 15 ft a 101.7ft2 202.3ft? x 152 ft? 4.50.3ft2 assessments
We can calculate the shaded area as the area of the trapezoid less the area of the circle.
The area of the trapezoid is:
\(\begin{gathered} A_t=\frac{b_1+b_2}{2}\cdot h \\ A_t=\frac{23+15}{2}\cdot8 \\ A_t=\frac{38}{2}\cdot8 \\ A_t=19\cdot8 \\ A_t=152 \end{gathered}\)The area of the circle of radius r=8/2=4 ft is:
\(\begin{gathered} A_c=\pi r^2 \\ A_c=\pi\cdot4^2 \\ A_c\approx3.14\cdot16 \\ A_c\approx50.3 \end{gathered}\)Then, the shaded area is the difference between the area of the trapezoid and the area of the circle:
\(\begin{gathered} A=A_t-A_c \\ A=152-50.3 \\ A=101.7\text{ ft}^2 \end{gathered}\)Answer: 101.7 ft^2
find the value of x if n(x)=-6x+10 when n(x)=58
Answer:8
Step-by-step explanation:
6x+10=58
6x=48
X=8
If triangle XYZ is equilateral and WXY is isosceles, what is the measure of WZY?
Answer: ∠WZY=150°
Step-by-step explanation:
Analysis :
ΔWXY is an isosceles triangle
perpendicular to WX intersecting:
XY at A
∠XWA = 21°
∠WXA = 90°-21° = 69°
Now, ΔXYZ is equilateral,
∠XYZ = ∠YXZ = 60°
Then,
∠WXZ = ∠WXA - ∠YXZ
= 69°-60°
= 9°
Since the angles of a triangle = 180°
∠WZY = ∠WZX = 180° - ∠XWA - ∠WXZ
= 180° - 21° - 9°
= 150°
g(x)=−x+5, solve for x when g(x)=-2
Step-by-step explanation:
a....................................
........... i help past due
Answer:
\(\frac{85}{17}\)
8.5/1.7 multiply by 10 to each side to get 85/10
PLEASE HELP ASAP !!!!
Which value of x makes this equation true ? 14 + x = -1/2 (x - 1) +1/2
Answer:
x= -26/3
Step-by-step explanation:
14+x=
−1
2
(x−1)+
1
2
14+x=(
−1
2
)(x)+(
−1
2
)(−1)+
1
2
(Distribute)
14+x=
−1
2
x+
1
2
+
1
2
x+14=(
−1
2
x)+(
1
2
+
1
2
)(Combine Like Terms)
x+14=
−1
2
x+1
x+14=
−1
2
x+1
Step 2: Add 1/2x to both sides.
x+14+
1
2
x=
−1
2
x+1+
1
2
x
Answer:
x = -26/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 1/2x to both sides.
Step 3: Subtract 14 from both sides.
Step 4: Multiply both sides by 2/3.
WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a car. if they work together for 1 hour and then machine b breaks, how much additional time will it take machine b to finish the job? please use the method 1/x+1/y=1/z
Answer:
It will take Machine A 20 additional minutes.
Step-by-step explanation:
First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.
Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:
5/6 + 1/2x = 1
1/2x = 1/6
x = 1/3 hours = 20 minutes
Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.
Hope this helps! And let me know if you have any questions!
Which expression is equivalent to (ab8)4?
a5b12
ab12
a4b32
ab32
Answer:
The answer is ab32
Step-by-step explanation:
ab x 8 x 4 = ab32
Answer: a^4b^32
Step-by-step explanation: (ab^8)^4 = (ab^8)(ab^8)(ab^8)(ab^8) = a^4b^32
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these
Answer:
To solve this problem you must apply the procedure shown below:
1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sinα=opposite/hypotenuse
α=70°
opposite=x
hypotenuse=10
3. When you substitute the values, you obtain:
Sin(70°)=x/10
4. Now, solve for x, as following:
x=(10)(Sin(70°)
x=9.39 feet
Therefore, the answer is: 9.39 feet.
Step-by-step explanation:
Cost of 5m of cloth is 320 then cost of 3cm 6cm 9cm prices are
Using the unitary method, the cost of 3 meters, 6 meters, and 9 meters of cloth with a cost of 320 for 5 meters is 192, 384, and 576 respectively
To use the unitary method, we need to find the cost per unit length of the cloth first.
Cost per unit length = Cost of 5m of cloth / Length of cloth = 320 / 5 = 64 per meter
Now, we can use this cost per meter to find the cost of different lengths of cloth
Cost of 3 meters of cloth = 64 x 3 = 192
Cost of 6 meters of cloth = 64 x 6 = 384
Cost of 9 meters of cloth = 64 x 9 = 576
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(a - b) (x²-7) - (a - b) (4x + 5)
The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)
Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)
Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.
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A student needs 15 minutes to solve an algebra problem how many minutes dose this student need to slove 5 problems?
Answer:
75 minutes or 1 hour and 15 minutes
Step-by-step explanation:
15·5=75
Answer:
3 min's per question
Step-by-step explanation:
Every different letter in this addition problem stands for a different digit.A letter stands for the same digit everywhere it appears. Find the value of TEST. H E S E T + T H E--‐-------------- T E S T
Given:
Every different letter in this addition problem stands for a different digit.
The value of TEST is 1089
The likelihood that a patient with a heart attack dies of the attack is 0.04 (i.e., 4 of 100 die of the attack). Suppose we have 50 patients who suffer a heart attack. What is the probability that all will survive
The probability solved by binomial distribution that all will survive is 0.8154.
What is Binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
Computation of probability of all survived people from heart attack;
A heart attack patient has a 0.04 percent chance of dying from the attack (i.e., 4 of 100 die of the attack).
What is the likelihood that each of the five patients who experience a heart attack will survive?
We'll refer to a victory in this scenario as a heart attack (p = 0.04). In other words, we are interested in the likelihood that none of our n=5 patients will die (0 successes).
Each attack has a chance of being fatal or not, with a probability of 4 percent for all patients, and each patient's result is independent.
Assume for the purposes of this example that the five individuals being examined are unrelated, of the same age, and free of any concomitant disorders.
By binomial distribution,
\(\begin{gathered}P(0 \text { successes })=\frac{5 !}{0 !(5-0) !} 0.04^{0}(1-0.04)^{5-0} \\P(0 \text { successes })=\frac{5 !}{5 !}(1)(0.96)^{5}=(1)(1)(0.8154)=0.8154\end{gathered}\)
Therefore, with a 4 % chance that anyone will die, there is an 81.54% chance that every patient will survive the onslaught. The outcomes in this example could be 0, 1, 2, 3, 4 or 5 successes (fatalities).
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Leah is thinking of a number. Twenty less than one third of
the number is 72. What is Leah's number?
Answer:
Step-by-step explanation:
⅓x - 20 = 72
⅓x = 92
x = 276
In a random sample of 200 school district residents, 94 stated they are in favor of starting the school day 15 minutes later each day. Calculate a 90% confidence interval for the true proportion of district residents who are in favor of starting the day later
The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.
To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:
CI = p ± z*(√(p*(1-p)/n))
where:
CI: confidence interval
p: proportion of residents in favor of starting the day later
z: z- score based on the confidence level (90% in this case)
n: sample size
First, we need to calculate the sample proportion:
p = 94/200 = 0.47
Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.
Substituting the values into the formula, we get:
CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))
Simplifying this expression gives:
CI = 0.47 ± 0.078
Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.
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Find all points on the circle x^2+y^2=100 where the slope is 3/4
The points on the circle are (6, 8) and (-6, -8)
How to determine the points on the circle?The equation that represents the circle is given as:
Circle equation: x^2 + y^2 = 100
The slope is given as:
Slope: m = 3/4
Start by differentiating the circle equation.
This is done as follows:
So, we have:
2x x' + 2y y' = 0
Divide through the equation by 2
x x' + y y' = 0
Subtract x x' from both sides of the equation
y y' = -x x'
This gives
y'/x' = -x/y
The expression represents the slope.
So, we have:
x/y = 3/4
Make x the subject
x = 3y/4
Substitute x = 3y/4 in x^2 + y^2 = 100
(3y/4)^2 + y^2 = 100
Evaluate the exponent
9y^2/16 + y^2 = 100
Multiply through by 16
9y^2 + 16y^2 = 1600
This gives
25y^2 = 1600
Divide by 25
y^2 = 64
Take the square root
y = ±8
Substitute y = ±8 in x = 3y/4
x = 3 * ±8/4
This gives
x = ±6
Hence, the points on the circle are (6, 8) and (-6, -8)
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Fill in the blank to make the fractions equivalent. 10/16 and /8 ?
Answer:
5 or 5/8
Step-by-step explanation:
To go from 10/16 to a bottom number/denominator of 8, you have to divide by 2.
Whatever you do to the top, you also do to the bottom, so you would divide 10, the numberator, by 2 to find the missing value.
10/2 is 5.
There is your answer.
is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
1+cosx/1-cosx=tan^2x/(sec^2-1)^2
Answer:
Take a look at the attachment below
Step-by-step explanation:
11. Intervals. Given the intervals I₁ = (2.5, 5.5], 1₂ =[3, 6], 1,=[5.5, 7] and I₁ = (5.5, 10]. Find
(a) I, or 1₂ or 1₂ =
(c) I, and I, =
(b)
(d)
I, and I₂ =
I, and I₁ =
12. Intervals.
1) Given the interval (1.5, 3.5). Find (a) the middle point:
13. Equations. Solve the following equations:
(b) the width (length):
2) Find the interval for which the middle and the width are equal to 2 and 6, respectively:
The interval of I₁ or I₂ or I₄ is (2.5 ,10].
The interval of I₁ and I₂ is [3 , 5.5] .
The interval of I₁ and I₃ is [5.5]
The interval of I₁ and I₄ is (5.6 , 7]
In arithmetic, a (real) interval could be a set of real numbers that contains all real numbers lying between any 2 numbers of the set.For instance, the set of numbers x satisfying zero zero x ≤ one is associate degree interval that contains zero, 1, and every one numbers in between.(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].
(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .
(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]
(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .
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The complete question is given below :
Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find
(a) I₁ or I₂ or I₄
(b) I₁ and I₂
(c) I₁ and I₃
(d) I₁ and I₄
hotel pool a hotel owner is trying to calculate how many square feet of fabric he will need to make a pool covering for winter. if the pool is in the shape of a regular hexagon with a side-to-side length of 30 feet, how many square feet of fabric will the owner need to construct the cover? round to the nearest square foot.
The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.
To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:
apothem = 30 × √3/2 = 25.980762
The area of a regular hexagon is given by the formula:
area = 3 × √3/2 × apothem^2
Substituting the value of the apothem, we get:
area = 3 × √3/2 × 25.980762^2 = 2247.72
Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.
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Solve for x
2(5x+3)=6x-3
Linear equations
2(5x + 3) = 6x -3Apply the multiplicative law of distribution.
10x + 6 = 6x - 3Rearrange the unknown terms on the left side of the equation.
10x - 6x = -3 - 6Combine as terms
4x = -3 - 6Calculate the sum or difference.
4x = -9Divide both sides of the equation by the coefficient of the variable.
x = - 9/4The answer is x = - 9/4. Because if we do the division, the result is not exact; means that the result is decimal.
Answer:
x = -9/4
Step-by-step explanation:
2(5x+3)=6x-3
10x + 6 = 6x - 3
10x - 6x = -3 - 6
4x = -3 - 6
4x = -9
The answer is x = -9/4
Work out and simplify where possible 3 x 5/11 12 x 3/4
\(3 \times \frac{5}{11} \)
turns into
\( \frac{3}{1} \times \frac{5}{11} = \frac{15}{11} = 1 \frac{4}{11} \)
\(12 \times \frac{3}{4} = \frac{12}{1} \times \frac{3}{4} = \frac{36}{4} = 9\)
Because 36 goes into 4 nine times.