ANSWER
\(90\text{ baby snails}\)EXPLANATION
Angela's snail has laid three clusters of eggs like the one in the picture.
The cluster in the picture contains 30 eggs. This implies that three clusters will contain three times that amount:
\(\begin{gathered} 3\cdot30 \\ \Rightarrow90 \end{gathered}\)Hence, Angela should expect 90 baby snails.
By rounding to one significant figure, estimate the answers to these questions:
a) 59 +25
b) 6820
71
c)
91 × 18
58
Answer:
A. 90 B.690000 C.180000Step-by-step explanation:
A. 60 + 30 = 90
B. 690000
C. 90 x 2000 = 180000
6. Classify the traianle as scalene, isosceles or equilateral. Explain. Leave answers in square root form.
TAL
Answer:
isosceles
Step-by-step explanation:
The point B is located on the perpendicular bisector of AC. No calculation is necessary. AC has a slope of 1, so it is easy to count grid squares to see where the perpendicular bisector goes.
When the altitude of the triangle bisects the side opposite the vertex, it is an isosceles triangle.
_____
Apparently, you're to use the distance formula to determine the lengths of the sides of the triangle. Doing that, you would find ...
AB² = (6-4)² +(1 -6)² = 4 + 25
CB² = (6-1)² +(1-3)² = 25 + 4
At this point, it doesn't require much thought to realize these sides are the same length: √29.
Susan is making a dessert with eggs and sugar. For every 2 eggs, she uses 50 grams of sugar. If she uses 12 eggs, how many grams of sugar does she use?
Grams of sugar does she used is 150gm.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Susan is making a dessert with eggs and sugar
For every 2 eggs, she uses 50 grams of sugar
She uses 12 eggs
Now,
To find out how many pairs of two eggs she used;
12/2=6eggs
2egg=50gm sugar
2*3eggs=50*3gm sugar
6eggs=150gm sugar
Therefore, the answer to this algebraic problem is 150gm.
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Renting the ice-skating rink for a birthday party costs $200 plus $4 per person. the rental costs $324 in total
If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.
What is an algebraic equation?A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.
How to solve this problem?Let the number of people at the birthday party be x.
Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.
Also, given that the entire cost of the rental is $324.
We can write the corresponding algebraic equation as
4x + 200 = 324
Now we have to solve this equation.
So, 4x = 324 - 200 = 124
i.e. x = 124/4 = 31
Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.
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Lauren has $900 in a savings account that earns 10% interest per year.The interest is not compounded. How much will she have in total in 1 year?
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ A = 900[1+(0.10)(1)] \implies A = 990\)
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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A lending institution supplied the following data on loan approvals by four loan officers. Use α = .05 and test to determine whether the loan approval decision is associated with the loan officer reviewing the loan application.
Loan Approval Decision
Loan Officer Approved Rejected
Miller 24 16
McMahon 17 13
Lee 35 15
Sanchez 11 9
Answer:
As chi^2 < 7.815, and P > 0.05, we do not reject null hypothesis.
Thus, there is no significant evidence that the loan approval decision is not independent of the loan officer reviewing the loan application.
Step-by-step explanation:
Find the given attachment
Given that ABCD is a rhombus, find the value of x. 4 (X +40) A. 75 B. 52 C. 25 D. 46 F. 26
the value of variable x in the rhombus is Option (c) 25.
Definition of a rhombusA parallelogram is a particular instance of a rhombus. opposite sides and angles of the rhombus are parallel and equal. The rhombus has equal-length sides on each side, and its diagonals meet at right angles to form its shape as square. The rhombus is sometimes called as a diamond or rhombus.
Let O be the intersection point of the line AC and the line BD in the rhombus.
This two lines intersect at a 90° angle in the center. ( Property of Rhombus)
∠AOD=90°
According to the question:∠AOD+∠OAD+∠ODA=180° (triangle sum property)
90°+x+x+40°=180°
2x=180°-130°
x=25
Hence the value of x=25.
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Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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whats the distance between the points on the graph
Using the distance formula, the distance between the two points given on the graph is 19.
Given is a line segment which is formed by joining the two points (-6, -4) and (13, -4).
Using the distance formula, the distance between the two points (x, y) and (x', y') is,
Distance = √[(x' - x)² + (y' - y)²]
Substituting,
Distance = √[(13 - -6)² + (-4 - -4)²]
= √19²
= 19
Hence the correct option is A.
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Your question is incomplete. Most probably, the complete question is as given below.
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.14 ounces and a standard deviation of 0.06 ounce. a) Find the probability that the bottle contains fewer than 12.00 ounces of beer. Label the sketch of the normal curve with the values from the problem situation. Label the mean and the desired outcome. Use a z-score to find the probability. Round your answer to 2 decimal places. b) Now that you have a probability that a bottle contains less than 12 ounces, what would be the probability that at least one bottle in a six pack would contain less than 12 ounces. Recall the probability of at least one from section 5-3, and a binomial distribution. c) The brewery is concerned about the probability of a customer getting a bottle with less than 12 ounces. What could the brewery do that would lower the chance that a customer would get a bottle with less than 12 ounces?
Answer:
well you see 2+2 is 5 then what all of that say it must mean give your ssn now please
x:y=5 :3 and x+y=56 work out x-y
Answer:
The value of x - y is 14
Step-by-step explanation:
∵ x : y = 5 : 3
→ Write it in the form of the fraction
∴ \(\frac{x}{y}=\frac{5}{3}\)
→ Multiply both sides by y
∴ \(\frac{x}{y}\) × y = \(\frac{5}{3}\) × y
∴ x = \(\frac{5}{3}\) y ⇒ (1)
∵ x + y = 56 ⇒ (2)
→ Substitute x in (2) by (1)
∴ \(\frac{5}{3}\) y + y = 56
→ Add the like terms
∵ \(\frac{8}{3}\) y = 56
→ Divide both sides by \(\frac{8}{3}\)
∴ y = 21
→ Substitute the value of y in (1) to find x
∵ x = \(\frac{5}{3}\) (21)
∴ x = 35
→ Now find the value of x - y
∵ x - y = 35 - 21
∴ x - y = 14
∴ The value of x - y is 14
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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50 POINTS!!! Answer the question well and I will also give Brainliest.
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
A) The volume of the prism is half the volume of the cylinder.
B) The volume of the prism is twice the volume of the cylinder.
C) The volume of the prism is equal to the volume of the cylinder.
D) The volume of the prism is not equal to the volume of the cylinder.
Answer:
C) The volume of the prism is equal to the volume of the cylinder.
Step-by-step explanation:
volume of triangular prism = area of base × height
volume of cylinder = area of base × height
The cross sectional area are equal, so the bases have the same area.
The heights are also equal.
The volumes must be equal.
Answer: C) The volume of the prism is equal to the volume of the cylinder.
Answer:
C) The volume of the prism is equal to the volume of the cylinder.
Step-by-step explanation:
If the cross-sectional areas of the triangular prism and the right cylinder are congruent, it means that when you look at their shapes from the top or bottom, they have the same size and shape.
Since both the triangular prism and the right cylinder have a height of 5 units, and their cross-sectional areas are the same, it implies that they have the same volume as well. So, the volume of the triangular prism is equal to the volume of the cylinder.
Please mark me as Brainliest if you're satisfied with this answer
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Step-by-step explanation:
Area of a Triangle:
bh/2
8 ft is the given height
6 ft is the given base (or width)
(8)(6)/2
48/2
= 24 ft²
In addition to this, we will have to find the area of the semicircle.
Area of a Semicircle:
πr²/2
The question tells us to use 3.14 in place of π.
3.14r²/2
The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.
8/2
= 4
3.14(4)²/2
Solve...
3.14(16)/2
50.24/2
= 25.12 ft²
Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.
24 ft² + 25.12 ft²
= 49.12 ft²
Our final answer is A=49.12 ft² because it is already in the hundredths place.
find the unknown side
Answer:
16^2 = 2root 2^2 +MN^2
SO
MN =2root 62
What percent of 52 is 12 ? Round your answer to the nearest tenth .
Approximately 23. It is simple, but if you are asking because you don't know how to find it, divide the smaller number by the bigger number. Then, multiply this number by 100.
Hope I helped!
Find the value of the missing angle.
Hi!
5 sided shapes have 540 degrees total in interior angles. Therefore, we just subtract all these numbers from 540.
540 - 117 - 157 - 59 - 89 = 118
Therefore the missing angle is 118 degrees.
Hope this helps! :D
What is the measure of DEF?
Answer:
105°Step-by-step explanation:
angle ∠DEF = 180 - 28 - 47
= 105°
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.
One possible set could be 3 cm, 4 cm, and 5 cm.
To verify if this set forms a right triangle, we can apply the Pythagorean theorem.
Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.
Adding these two values together gives us 25.
Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.
It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.
There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.
These sets are known as Pythagorean triples.
Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.
In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
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What is the y intercept of the line?
-3
1
5
-2
How do I solve this??
The length of leg is equal to 100 based on the length of hypotenuse and angle.
The length of leg will be calculated using Pythagoras theorem as the stated triangle is right angled triangle. Based on the theorem, se have side A is hypotenuse. So, sin theta = perpendicular/hypotenuse, where theta will be 90 degree and perpendicular is leg. Let us represent the leg as x.
sin 90 = x/ A
Keep the value of sin 90, which is 1
1 = x/100
Rearrange the equation in terms of x along with performing multiplication
x = 100
Hence, the length of leg is 100.
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Suppose a video store charges non-members $10 to rent each video. However, a membership costs $21 and members pay $3 to rent each video. For what number of videos is the cost the same?
Answer:
3
Step-by-step explanation:
Non Members pay $10 dollars each video 3 x 10= $30
membership costs $21 + 3 videos $3 each $21 + $9 =$30
Price is the same after 3 videos rented
What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
<95141404393>
An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finishing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12
The weight with the added screws is still below 12 ounces.
Answer:
we have
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12
The weight with the added screws is still below 12 ounces.
yes the design be within the desired weight limit
Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,000.
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
actual sales be $31,132
Step-by-step explanation:
possible answers: 0.407, 0.0407, 0.00407, or 0.000407
\(\huge\text{Hey there!}\)
\(\mathsf{4.07\times10^{-3}}\)
\(\mathsf{= 4.07\times\dfrac{1}{10\times10\times10}}\)
\(\mathsf{= 4.07\times\dfrac{1}{1,000}}\)
\(\mathsf{= 4.07\times0.001}\)
\(\mathsf{= 0.00407}\)
\(\huge\boxed{\heartsuit\text{ Therefore, your answer is: \boxed{\textsf{Option C. 0.00407}}}}\\\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
There are 27 students in Mr. Mello's class. Find the total number of pages the students
read by the end of November.
WILL GET 100 POINTS AND BRAINLIST.
Answer:
No solution.
Step-by-step explanation:
Why I say this problem has no solution is due to the fact that the amount of pages is unclassified. This leads you to guessing how many pages there might be for each chapter of the students' individual books, and guessing would not be an effective method as it could lead you to thinking of any random number between 1 - 60 at the most. Therefore, this problem has no solution. If you have further concerns about this problem, I recommend addressing them to your teacher. Otherwise, have a great day. :)
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!
12. The coordinate grid below represents a town.
a. Curtis's house is at (-4, -6) and Jean's house is at (-4, 3). Plot the plots where Curtis's house and Jean's house are located.
b. Each unit on the grid represents 1 mile. If Curtis can ride his bike at a constant rate of 12 miles per hour, how long would it take Curtis to ride from his house to Jean's house?
THIS IS NOT MULTIPLE CHOICE!!!
We are given:
Coordinates of Curtis's house: (-4, -6)
Coordinates of Jean's house: (-4, 3)
a) Plotting these points:
in the given coordinates, the first number is called the abscissa and denotes the x-coordinate of the point.
the second number is the ordinate. it denotes the y-coordinate of the point
Plotting Curtis's house:
We will start from the origin (0,0). move 4 units to the left because that's where x = -4 is.
Then, we will move 6 units downwards and mark the point.
The point we just marked is (-4, -6), Curtis's house
Plotting Jean's house:
We will go to x = -4 like we just did when plotting curtis's house
then, we will move 3 units upwards and mark the point.
This point is (-4, 3), Jean's house
b) Time taken by Curtis:
Distance between the points:
distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) (distance formula/Pythagoras' Theorem)
where (x₁, y₁) = (-4, -6) and (x₂, y₂) = (-4, 3)
replacing the values in the formula, we get:
distance = \(\sqrt{(-4 - (-4))^2 + (3 - (-6))^2}\)
distance = \(\sqrt{(0)^2 + (9)^2}\)
distance = \(\sqrt{(9)^2}\) = 9 units
since each unit on the grid represents one mile,
distance = 9 miles
speed of Curtis = 12 miles/hour
we know that speed is just (distance covered)/(time taken)
speed = (distance covered)/(time taken)
replacing known values
12 = 9 / time
12 * time = 9 [multiplying both sides by time]
time = 9/12 [dividing both sides by 12]
time = 3/4 hours
time = 0.75 hours OR 45 minutes
9514 1404 393
Answer:
a) see attached
b) 3/4 hour (45 minutes)
Step-by-step explanation:
a) The attached graph shows the points plotted.
__
b) The points lie on the same vertical line. The distance between them is the difference of their y-coordinates: 3 -(-6) = 9 (miles).
The time is related to distance and speed by ...
time = distance/speed
time = (9 mi)/(12 mi/h) = 9/12 h = 3/4 h
It would take Curtis 3/4 hour to ride from his house to Jean's house.