Answer:
Step-by-step explanation:
i don’t know the rest but i know b is 144
Answer:
B) 144 seats would be full
Work: 72% x 200 = 144
C) the cost would be $5.4
Work: 4.5 × 20 / 100 = 0.9
4.5 + 0.9 = 5.4
D) 24% of the 25 different candies
Work: 6/25 = 0.24
Move the decimal point 2 places to the right and add
the percent sign %.
0.24 becomes 24%
hope this helps
Plz, help me plz!!!!!!!!!!!!! will mark brainliest!!!!
The scatter plot shows the total number of songs downloaded on a popular music service.
image below
Answer:
Its B. y-5x+5
Step-by-step explanation:
Use the slope formula
The equation of the linear model is y = 5x + 5. The correct answer is option B.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We can find the equation of the linear model passing through two points using the slope-intercept form of a line:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line:
m = (y₂ - y₁) / (x₂ - x₁)
Let (0, 5) be the first point, and (3, 20) be the second point:
m = (20 - 5) / (3 - 0) = 15 / 3 = 5
Now that we know the slope, we can plug in one of the points and solve for the y-intercept:
y = mx + b
5 = 5(0) + b
b = 5
Hence, the equation of the linear model is:
y = 5x + 5
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two angles have a sum of 180° if the measure of the first angle is 35.7° find the measure of the second angle
Answer:
x =144.3
Step-by-step explanation:
Let x be the unknown angle
The two angles add to 180
x+35.7 = 180
Subtract 25.7 from each side
x+35.7 -35.7 = 180-35.7
x =144.3
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A.M. the temperature of the tea is 197°F. At 7:15 A.M. the temperature of the tea is 180°F. Alicia will drink the tea when its temperature is 172°F.
Part A
Which of the following shows an exponential cooling equation that models the temperature of the tea?
A. y = 72(0.989)x + 128
B. y = 128(0.989)x + 72
C. y = 200(0.989)x + 72
D. y = 128(0.989)x + 200
Part B
When can Ella drink the tea?
Ella can drink the tea after
7:22
7:18
Answer: A) Option B
B) 22.3 minutes.
Step-by-step explanation:
The temperature decreases in an exponential decrease, this means that we can write the equation as:
T(x) = A*r^x + B
Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)
We know that the initial temperature
A = 200° - 72° = 128°
B = 72°
T(x) = 128°r^x + 72°
The only option with those two values is option B.
T(x) = 128(0.989)^x + 72
We should check that when x = 2m, the temperature must be 197°
T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)
So this equation is correct
Now we want to find the time such the temperature is 172°F
then:
172° = 128°(0.989)^x + 72°
100° = 128°(0.989)^x
100/128 = (0.989)^x
x = ln(100/128)/ln(0.989) = 22.3 minutes.
Let's check in our equation:
T(22.3) = 128°(0.989)^22.3 + 72 = 172°
10x + 4 = 2(5x + 8) – 12 how many solutions and solve for x
Answer:
hope this help
Step-by-step explanation:
10x + 4 = 10x + 16 -12 = 10x + 4
infinite solution of x ( for x is real number)
6/11 + 4 = 2/11 x + 16
Answer: x = 33
Step-by-step explanation:
Subtract 2/11x from both sides
Subtract 4 from both sides
Multiply both sides by 11/4
Answer:
The result is [tex]x = 33[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]\frac{6}{11} x +4 = \frac{2}{11} x + 16[/tex]
-Subtract [tex]\frac{2}{11} x[/tex] from [tex]\frac{6}{11}x[/tex] :
[tex]\frac{6}{11} x +4 -\frac{2}{11}x = \frac{2}{11} x - \frac{2}{11}x + 16[/tex]
[tex]\frac{4}{11} x +4 = 16[/tex]
-Subtract from both sides by 4:
[tex]\frac{6}{11} x + 4 - 4 = 16 -4[/tex]
[tex]\frac{6}{11} x = 12[/tex]
-Multiply both sides by [tex]\frac{11}{4}[/tex] :
[tex]x = 12[/tex] × [tex](\frac{11}{4})[/tex]
[tex]x = 33[/tex]
So, the answer for the equation is [tex]x =33[/tex] .
The area of a parallelogram is 12 ft^2 The height is 2 ft. Find the length of the corresponding base
Answer:
The length of the corresponding base is 6 ft.
Step-by-step explanation:
A = bh Use this equation to find the length of the base
12 = 2b Divide both sides by 2 to get b by itself
6 = b
If this answer is correct, please make me Brainliest!
Answer:
6
Step-by-step explanation:
did lesson
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
A supermarket has 28 employees. The owner of the supermarket pays each employee 320 per week. After paying his worker for one week the owner has 247 left in his bank account. How much money did he have at first?
Answer:
The owner of the supermarket had 9207 at first
Step-by-step explanation:
The key to unlocking this question is to first of all determine how much the supermarket owner paid to employees:
amount paid as weekly wages=number of employees*pay per employee
there are 28 employees
the pay per week is 320 each
amount paid as weekly wages=28*320=8960
The amount the owner of the supermarket had at first is the amount paid as weekly wages plus the balance left after the wages have been settled.
balance after payment of wages is 247
Amount he had at first=8960+247=9207
You go to "Ice Cream Palace" for dessert one day. You can get vanilla, chocolate, or twist ice cream. You have a choice of rainbow sprinkles, chocolate
sprinkles, or no sprinkles. You can get your ice cream in a cup or a cone and they each come in small, medium, and large sizes. How many different combinations
are there in all?
Answer:
54 combinations.
Explanation:
3x3x2x3= 54
Plz help! Question is in the picture :)
Answer:
32.94%
Step-by-step explanation:
Hope this helps
find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6
Answer:
Volume, [tex]V=169.56\ \text{units}^3[/tex]
Step-by-step explanation:
We have,
Radius of cylinder is 3 units
Height of the cylinder is 6 units
It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :
[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]
So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].
lenghts of the sides of a rectangular garden are in a ratio 1:2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter and the area of the garden.
Answer:
perimeter = 107.4 m
area = 640.82 m²
Step-by-step explanation:
The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.
The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.
Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.
(a/2)² + (2a/2)² = 20²
(a/2)² + (a)² = 20²
a²/4 + a² = 400
(a² + 4a²)/4 = 400
5a²/4 = 400
cross multiply
5a² = 1600
a² = 1600/5
a² = 320
square root both sides
a = √320
a = 17.88854382
a ≈ 17.90
The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.
Area = length × breadth
area = 17.90 × 35.80 = 640.82 m²
perimeter = 2(l + b)
perimeter = 2(35.80 + 17.90)
perimeter = 2(53.7)
perimeter = 107.4 m
8. Shelley and Jim sold tickets to the basketball game. Good seats were $3 each and not so good seats cost
only $2 each. 150 people attended the game and Shelley and Jim collected $350. Write the system. How
many of each type of seat did they sell?
Answer:
100 not so good seats
50 good seats
Step-by-step explanation:
Let x represent good seats and y represent not so good seats
[i] 3x + 2y = 350
[ii] x+y = 150
[iii] y = 150 - x
substitute this to equation [i]
3x + 2y = .350
3x + 2 (150-x ) = 350
3x + 300 - 2x = 350
3x-2x = 350 - 300
x = 50 good seats
now substitute what you got to equation [iii]
y = 150 - 50 = 100 not so good seats
when we check the answer by using equation [i] we find that it is correct:
3x + 2y = 350
3(50) + 2(100) = 350
150 + 200 = 350
350 = 350
Which function does the graph represent?
Answer:
B
Step-by-step explanation:
A monomial of the 2^{\text{nd}}2
nd
2, start superscript, start text, n, d, end text, end superscript degree with a leading coefficient of 333
Answer:
Possible monomials: 3x² and 3xy
Step-by-step explanation:
We are asked to find a monomial of the 2nd degree with a leading coefficient of 3.
A monomial is a polynomial with only one term. This monomial has to be of 2nd degree, that is, if only one variable is present, the exponent of it is 2, like in x² or y²; but if two variables are present, the exponent of each one is one, so that, the degree is still two, like in xy (degree = 1 + 1 = 2)
In a monomial there is only one coefficient, the leading coefficient, which is the multiplicative factor of the variables. Then, with one variable, the monomial is 3x², and with two, it is 3xy
Answer:
3n^2 is the answer
Step-by-step explanation:
Khan academy lol
how can you identify the zeros of a function from a graph ?
Answer:
Step-by-step explanation:
Set the Format menu to ExprOn and CoordOn. Press [2nd][TRACE] to access the Calculate menu. Press [2] to select the zero option. If necessary, repeatedly press Set the Left Bound for the zero you desire to find.
Which property is this 6y-y + 2y + 10 - 4+2
Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
An = ?
Answer:
The explicit formula is Tn = 34 + 3n
Step-by-step explanation:
The nth term of an arithmetic sequence can be represented using the formula
Tn = a + (n-1)d
where a is the first term , n is the number of terms and d is the common difference
For the 12 term(a12), n = 12
70 = a + (12-1)d
70 = a + 11d •••••••(i)
For the 30th term, n = 30
124 = a + (30-1)d
124 = a + 29d •••••••(ii)
Now, directly subtract equation i from ii, we have;
124-70 = (a-a) + (29d-11d)
54 = 18d
d = 54/18
d = 3
To get a , we substitute the value of d in any of the equations
let’s use the first
70 = a + 11d
substituting d = 3
70 = a + 11(3)
70 = a + 33
a = 70-33
a = 37
Thus the explicit formula for the nth term will be
Tn = a + (n-1)d
where a = 37 and d = 3
Tn = 37 + (n-1)3
Tn = 37 + 3n -3
Tn = 34 + 3n
Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?
Answer:
Step-by-step explanation:
x three point shots: 8*3=24
x two point shots: 2*2=4
The point would Anthony score is : 24+4=28
I hope it'll help you much
Thank you for asking
Julie has four times as many pairs of shoes as her brother. Together they have 15 pairs of shoes. How many pairs of shoes do they each have?
Answer:
60 pairs of shoes
Step-by-step explanation:
To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.
i hope this helped:)
Answer:
7.5
Step-by-step:
Julie: ?
Her brother: ?
Total number: 15
So: 15 divided to julie and her brother-
There for 15 divide by 2 is 7.5
7.5+7.5=15
i need heeellllpppppp
Answer:
20 cents per unit
Step-by-step explanation:
Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents
Answer:
the unit price is $0.20 for 1 pencil
Step-by-step explanation:
if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil
write it as a ration of cost to pencil
the ratio is 1/5
now divided 5 on the top and the bottom to get the unit price
1 divided by 5= 0.2
so now the ratio is 0.2/1
HELP!!!!! due in 5 or 10 minutes!!!
Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?
Answer:
The answer is 9.
Step-by-step explanation:
Caleb's cube has a volume of 27 inches cubed.
27 x 27 = 729
729 has a cube root of 9.
If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)
Answer:
You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!
8.2g of sugar is needed for every cake made. How much sugar is needed for 12 cakes?
Answer:
98.4
Step-by-step explanation:
Since one cake equals 8.2 g of sugar, we can multiply this by 12 to get 12 cakes equals 98.4 g of sugar
Answer:
98.4 Grams because 8.2 times 12 is 98.4
Step-by-step explanation:
Plz give brainliest
Work out the area of a circle with radius 7.5cm take (pi) to be 3.142 and give your answer to 2 decimal places
Answer:
The area of this circle is [tex]176.74cm^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^2[/tex]
The radius is the length from one side of the circle to the centre.
To work this out you would simply multiply pi by the radius of 7.5. squared. This gives you 176.74.
1) Multiply pi by 7.5 squared.
[tex]\pi *7.5^2=176.74cm^2[/tex]
In this question pi is to be 3.142
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
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please help.will mark brainliest!
Answer:
1 an -5/2
Step-by-step explanation:
Prodigy math again. Please help,. will give brainliest if right!
Answer:
1. 6 6/10
2. 7 6/10
Step-by-step explanation:
Answer:
1. 8 6/10
2. 9 6/10
Step-by-step explanation:
I need help pleaseeee
Answer:
20cm
Step-by-step explanation:
pythagorean theorem
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 400
b = 20
Answer:
20 cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
15^2 +b^2 = 25^2
225+b^2 = 625
Subtract 225 from each side
225+b^2 -225 = 625-225
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
Rao's Finance claims that less than 50% of adults in Suva have a will. A will is a legal document that sets forth your wishes regarding the distribution of your property and the care of any minor children. If you die without a will, those wishes may not be carried out. To substantiate the claim, a random sample of 1000 adults showed that 450 of them have a will. A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%? B. What is the Type I error in part A? What is the probability of making this error? C. What would your decision be in part A if the probability of making a Type I error were zero? Explain.
Answer:
See the explanation below.
Step-by-step explanation:
n = sample size = 1000
X = proportion of adults that a will = 450 / 1,000 = 0.45
P-value = 0.5
a = level of significance = 5%, or 0.05
A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%?
Our hypotheses are:
Null hypothesis: u ≥ 0.5
Alternate hypothesis: u < 0.5
Since this indicates a left tailed test, the decision rule is to reject null hypothesis if p-value is less than the level of significance.
[tex]Z = test statistic = \frac{0.45 - 0.5}{0.5/\sqrt{1,000} }[/tex]
Z = - 0.05 / 0.0158113883008419 = - 3.1623
Using the excel function NORMSDIST(-3.1623), we have:
P- value = 0.000782701129001276, approximately 0.0008
Therefore, null hypothesis is rejected at 5% level of significance since the p-value 0.0008 is less than 5%, or 0.05.
Therefore, there is an enough reason to reject null hypothesis.
B. What is the Type I error in part A? What is the probability of making this error?
Since the probability is greater than 50%, the Type I error is therefore the statement in the question that less than 50% of adults have a will.
Also, the probability of making this Type I error is the 5% level of significance.
C. What would your decision be in part A if the probability of making a Type I error were zero?
The null hypothesis will be rejected if the probability of making a Type I error were zero in part A.