Final answer:
Each brother spent $11 on the gift. To find their original savings, we calculate 4 * $11 for Justin, which is $44, 3 * $11 for Jared, which is $33, and 5/2 * $11 for Jonathan, which is $27.50.
Explanation:
The question is asking us to find out how much money each of the three brothers, Justin, Jared, and Jonathan, had before they each spent an equal amount on a present for their mom's birthday. They bought a vase for $33, and Justin spent 1/4 of his savings, Jared contributed 1/3 of his, and Jonathan gave 2/5 of his. We can set up an equation for each brother using the fact that they all spent the same amount, which we'll call 'x'. So for Justin, (1/4) * Justin's savings = x, for Jared, (1/3) * Jared's savings = x, and for Jonathan, (2/5) * Jonathan's savings = x. Since the total cost of the vase is $33, we know that 3x = $33 or x = $11. This means each brother spent $11.
Now, we can find out how much each had originally:
Justin's original savings: (1/4) of his savings is $11, so Justin had 4 * $11 = $44 before the purchase.Jared's original savings: (1/3) of his savings is $11, so Jared had 3 * $11 = $33 before the purchase.Jonathan's original savings: (2/5) of his savings is $11, so Jonathan had 5/2 * $11 = $27.50 before the purchase.solve the problem 22=4+8e-2e
Which explanation justifies how the area of a sector of a circle is derived?
- Determine how many triangles can fit into a circle. Divide 360° by the number of triangles. Multiply the quotient by the area of the circle .
- Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply the area of the circle by this fraction.
- Partition the circle into unit squares. Determine the area of the sector and multiply the area by the degree of the circle.
- Determine the degree of the sector. Divide by 180° and then multiply it by the area of the triangle the sector is in.
The statement that justifies how the area of a sector of a circle is derived is:
Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply the area of the circle by this fraction.What is an area?This refers to the quantity that expresses the extent of a region on the plane such as on a curved surface.
Furthermore, the area of sector of a circle is talking about the amount of space enclosed within the boundary of the sector.
Generally, it is explained in step that we first calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply the area of the circle by this fraction.
Therefore, the Option B is correct.
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How would you solve this problem? Help Please asap
Which ratio can be used to convert meters to kilometers
The smaller rectangle was scaled by a factor of 4 to produce the larger figure.
Use the drop-down menus to show the missing dimensions of the scaled figure.
Answer:
Step-by-step explanation: so the problem is asking for the missing dimensions of the rectangle. The smaller rectangle has a length of 12 inches, a width of 8 inches, and an area of 96 inches. To clarify, 8x12 is 96 so when looking at the bigger rectangle, it says that it was scaled by a factor of 4.
The Answer-
Length:48
Width:32
Area:1,536
A cylinder has a radius of 14m and a height of 6m what is the exact volume of this cylinder
Hello!
A cylinder has a radius of 14m and a height of 6m what is the exact volume of this cylinder
Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula:
[tex]V = \pi *r^2*h[/tex]
Solving:
[tex]V = \pi *r^2*h[/tex]
[tex]V = \pi *14^2*6[/tex]
[tex]V = \pi *196*6[/tex]
[tex]\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark[/tex]
if, we adopt: π= 3.14, so:
[tex]V = 1176*\pi \to V = 1176*3.14 \to \boxed{\boxed{V \approx 3692.64\:m^3}}\qquad\quad\checkmark[/tex]
________________________
I Hope this helps, greetings ... Dexteright02! =)
In Exercises 6 and 7, use the given measure to find the missing value in each data set.
6. The mean of the ages of 5 brothers is 13 years.
12, 16,__, 14, 8 7.
7. The median number of students in each music class is 19 people.
16,___, 24, 17, 20, 21 8.
Write a data set where both the mean and the median describe the data equally well. Explain your reasoning. _________________________________________________________________________________________ _________________________________________________________________________________________
PLEASE SHOW ALL WORK
Answer the manager one
What is the slope of the line passing through the point (-3,-1) and the origin?
A straight line equation y=1/2x+1 the point p lies on the straight line.p has a y-coordinate of 5. Find the x-coordinate of p
Help pls I don’t get it
Determine whether the following expressions are equivalent to 3(4+2b) . Expressions Yes - Yes No - No 24b 6(b+2) (12b+2b) 6b+12
Audrey is buying a nee car for $32,998. She plans to make a down payment of $4,200. If she's to make a monthly payments of $525 for the next five years, what APT has she paid?
What is the following product? 4 square root 7
"4√7" means four times the square root of 7, approximately equal to 10.582, an irrational number with decimal expansion.
The expression "4√7" represents the square root of 7, multiplied by 4. Let's break it down step by step:
1. Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9. Similarly, the square root of 25 is 5 because 5 × 5 = 25.
2. √7: This symbol (√), called the radical symbol, represents the square root. So, √7 represents the square root of 7, which is an irrational number, meaning it cannot be expressed as a simple fraction and has decimal places that go on indefinitely without repeating.
3. 4√7: This means you're taking the square root of 7 and then multiplying it by 4. So, if you calculate it, it's like doing 4 times the square root of 7.
To give a numerical example, if we want to find the value of 4√7:
4 × √7 ≈ 4 × 2.6457513110645905905016157536393... (approximately)
Thus, 4√7 is approximately equal to 10.582, depending on how many decimal places you round to.
In summary, "4√7" represents four times the square root of 7, which is an irrational number, approximately equal to 10.582.
Fifty six is what decimal part of 70
56 is 0.8 as a decimal fraction of 70.
What is Fraction?A fraction represents a part of a whole.
We have to find Fifty six is what decimal part of 70
To find what fraction 56 is of 70,
We have to divide Fifty six by seventy
56 / 70 = 0.8
Therefore, 56 is 0.8 as a decimal fraction of 70.
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Can someone help me with this question please?
We are given a parallelogram with sides:
3 1/8 and 2 3/16.
Let us convert each into improper fraction.
3 1/8 = 25/8
2 3/16 = 35/16
Now perimeter of parallelogram is given by:
[tex] P = 2(sum of non parallel sides) [/tex]
[tex] P= 2(\frac{25}{8} + \frac{35}{16}) [/tex]
Now we have to find lcd of 8 and 16.
lcd of 8 and 16 is 16.
[tex] P= 2(\frac{25*2}{8*2} + \frac{35}{16} ) [/tex]
[tex] P=2( \frac{50}{16} + \frac{35}{16} ) [/tex]
[tex] P= 2(\frac{50+35}{16} ) [/tex]
Perimeter = 85/8 km
Answer : Perimeter of parallelogram is given by 85/8 km.
Martha and steve have 95 colored pencils. If Martha has 4 times as many as steve, how many does Steve have
Answer:
Steve has 19 pencils
Step-by-step explanation:
4 times of 19 is 76
So, Martha has 76 and Steve has 19
76+19=95
hope this helps!
how to find irrational number between 3 and 4
Answer:
Step-by-step explanation:
a triangle has interior angles measuring 36° and 112° which triangles are similar to this triangle select true or false for each triangle
Answer:
Triangle with interior angles measuring 36° and 32°
Triangle with interior angles measuring 32° and 112°
Step-by-step explanation:
we know that
If two triangles are similar, then its corresponding angles are congruent
If two triangles have two equal internal angles, then the triangles are similar by AA Similarity Postulate
step 1
Calculate the measure of the third internal angle
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
so
Let
x------> the measure of the third internal angle
[tex]x\°+36\°+112\°=180\°\\ \\x=180\°-148\°\\ \\x=32\°[/tex]
step 2
Verify each triangle
case A) Triangle with interior angles measuring 36° and 32°
Is true -----> by AA Similarity Postulate
case B) Triangle with interior angles measuring 36° and 148°
Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees
case C) Triangle with interior angles measuring 32° and 112°
Is true -----> by AA Similarity Postulate
case D) Triangle with interior angles measuring 112° and 148°
Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees
Answer:
agree
Step-by-step explanation:
HELP! Multiplying radicals. Questions on photo.
There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple trees are there? Which equation can be used to solve this problem?
HELP PLEASE
Which point on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units use 3.14 for TT
Answer:
Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Step-by-step explanation:
It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.
The volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is radius and h is height of the cylinder.
Substitute r=4, h=4, π=3.14 in the above formula.
[tex]V=(3.14)\times (4)^2\times (4)[/tex]
[tex]V=200.96[/tex]
The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Answer:
The Answer is E
Step-by-step explanation:
I got it right on the test
A rectangular prism is completely packed with 90 cubes of edge length 1/2 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?
A: 11 unit cubes and 1 smaller cube of volume 1/8 cubic inch
B: 22 unit cubes and 4 smaller cubes of volume 1/8 cubic inch each
C: 11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each
D: 22 unit cubes and two smaller cubes of volume 1/8 cubic inch each
Answer:
C. (11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each.)
Step-by-step explanation:
90 cubes * 1/8 inch = 11 1/8 inch.
Table
Food - 1/3
Housing - 1/3
Medical Care - 1/4
This year, the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical Care the same. Again, the remaining portion of the budget will be for maintenance expenses. What is the difference between the fraction of the budget for maintenance this year and last year?
Answer:
[tex]\frac{5}{24}[/tex]
Step-by-step explanation:
Previous year table .
Food - [tex]\frac{1}{3}[/tex]
Housing - [tex]\frac{1}{3}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{4}[/tex]= [tex]\frac{11}{12}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.
So, maintenance expenses = [tex]1-\frac{11}{12}=\frac{1}{12[/tex]
Present year table
Food -[tex]\frac{1}{3}[/tex]
Housing -[tex]\frac{1}{8}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{8}+\frac{1}{4}=\frac{17}{24}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.[tex]1-\frac{17}{24}=\frac{7}{24}[/tex]
The difference between the fraction of the budget for maintenance this year and last year = 7/24 - 1/12 = 5/24
Hence the difference between the fraction of the budget for maintenance this year and last year is 5/24
How many subsets does A have?
Let A
equals
=
StartSet 9 comma 10 comma 11 comma 12 comma 13 comma 15 EndSet
{9,10,11,12,13,15}.
50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. Use the simulation data to find the probability. Round to the nearest percent.
To find the probability that 20 or more out of 50 babies are female, use a binomial distribution with parameters n=50 and p=0.5. Calculate the cumulative probability for P(X ≥ 20). Based on a potential sample output, the probability rounded to the nearest percent is 95%.
Finding the Probability Using Binomial Distribution
The question is about finding the probability that 20 or more out of 50 babies born today are female, given that 50% of babies are born female. This scenario can be modeled using a binomial distribution.
In a binomial distribution, n represents the number of trials (in this case, 50 babies), and p represents the probability of success on a single trial (in this case, the probability of a baby being female, which is 0.5). The binomial distribution formula is:
P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))
Where nCk represents the combination of n items taken k at a time.
To find the probability that 20 or more out of 50 babies are female, we need to calculate the cumulative probability from 20 to 50:
Use a binomial table or software to find P(X ≥ 20) for n=50 and p=0.5.If using a calculator or software: P(X ≥ 20) = 1 - P(X < 20).After calculating or using a binomial table, you might get a result. For example, suppose the cumulative probability is found to be 0.9523. Rounded to the nearest percent, the probability is 95%.
Number 13a and 13b, please.
Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cost of lessons for a student per hour is $25.
Stewart wants to know how many students in his school enjoy watching sports on TV. He asks this question to all 25 students in his science class and finds that 60% of his classmates enjoy watching sports on TV. He claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is Stewart making a valid inference about his population?
Yes, it is a valid inference because he asked all 25 students in his science class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
No, it is not a valid inference because he asked all 25 students in his science class instead of taking a sample from his math class
Answer:
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school.
Step-by-step explanation:
You charged $65 dollars on a credit card and you returned a item hat was pitched with the card and it cost $24? Then u bought an item with he card that cost $24 dollars