Jessica opened an appeal shop five years ago.
Find the volume of this sphere.
Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each.How much money does Boderick need to add to his account to cover his checks ? Show your work.
Broderick initially has $420, adds $213 from deposits, and needs $1,243 for checks, resulting in him needing to add $610 to cover his checks.
Explanation:To calculate how much money Broderick needs to add to his account to cover his checks, we must first figure out his total deposits and then subtract the total amount he needs for the checks.
Broderick starts with $420 in his account and makes 6 deposits of $35.50 each. To find the total amount deposited, we multiply the number of deposits by the amount of each deposit:
6 deposits × $35.50/deposit = $213Adding this total to his initial amount gives us:
$420 + $213 = $633Next, Broderick needs to write 4 checks for $310.75 each. The total amount for the checks is:
4 checks × $310.75/check = $1,243To determine how much additional money is needed, we subtract Broderick's available money from the total amount needed for the checks:
$1,243 (total for checks) - $633 (total available in account) = $610Therefore, Broderick needs to add $610 to his account to cover the checks.
If 200% of x is equal to 50% of y and x = 16, what is the value of y?
What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
The geometric mean of 8 and 32
The geometric mean of 8 and 32 is 16.
Given :
The two numbers 8 and 32
To find:
The geometric mean of given numbers.
Solution
The geometric mean is given by the formula:
[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]
n = num ber of terms
According to question : n = 2
The geometric mean of given numbers:
[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]
The geometric mean of 8 and 32 is 16.
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Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?
The Jim's age is 27.
It is required to find the age of Jim.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities.
Given that:
Let cousin's age = x
Let Jim's age = 3x
Since the difference between their ages is 18,
3x - x = 18
Solving for x,
2x = 18
x = 9
Cousin's age is 9.
Jim's age is 27.
So, the Jim's age is 27.
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Jonah finished a race in 11.62 seconds. Marco finished the same race in 9.8 seconds. How many seconds faster did Marco finish the race than Jonah?
A. 1.82 seconds
B. 2.22 seconds
C. 10.64 seconds
D. 11.36 seconds
what is 3/10 in money form?
PLZZZZ HELP WILL MARK BRAINLIEST
Which statement is true about the distribution?
A line ranging from 10 to 45 with boxes between 15 and 25, and 25 and 40.
A.The IQR is the best measure of variability because the distribution has no outliers.
B.Either the IQR or the range are good measures of variability because the distribution has an outlier.
C.The range is the best measure of variability because the distribution has an outlier.
D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Answer:
answer is not that asnwer is iat the bottom
Step-by-step explanation:
Either the IQR or the range are good measures of variability because the distribution has no outliers.
write 0.21 as a fraction in simplest form
0.21 as a fraction in simplest form is 21/100.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number 0.21 into a fraction by converting it into a percentage as follows;
0.21 = 21/100
Fraction: 21/100 = 0.21.
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Please help me i need help please please
Answer:
√(100² + 60²) = √(10,000 + 3,600) = √13,600 = 20√34 = about 116.6 m
116.6 goes into the box.
The sum of the square of two negative numbers is 74. The difference is 24. determine the two numbers
The required negative numbers are -5 and -7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Let the required negative numbers be x and y.
The sum of the square of two negative numbers is 74.
(x)² + (y )² = 74
x² + y² = 74
(x)² - (y)² = 24
y² - x² = 24
y² = x² + 24
Substitute the value of y² = x² + 24 in the equation x² + y² = 74,
x² + 24 + x² = 74
2x² = 74 - 24
2x² = 50
x² = 25
x = √25
x = ±5
x = 5, -5
Take the negative value as per the question.
Substitute the value of x = -5 in the equation y² = x² + 24,
y² = (-5)² + 24
y² = 25 + 24
y² = 49
y = √49
y = ±7
y = - 7
Therefore, the required negative numbers are -5 and -7.
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Final answer:
The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.
Explanation:
The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.
To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:
y = x + 24
Then, substitute this expression for y into the first equation:
[tex]x^2 + (x + 24)^2 = 74[/tex]
This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression
y = x + 24.
After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.
Can someone help me find the value of b? Thank you!
Solve the equation V - E + F = 2 for E
The given equation can be solved in terms of E as E = V + F - 2.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is V - E + F = 2.
It can be solved as,
⇒ V - E + F = 2
⇒ V + F = 2 + E
⇒ E = V + F - 2
Hence, the solution for E can be obtained as E = V + F - 2.
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Final answer:
The equation V - E + F = 2 is solved for E by simple algebraic manipulation, resulting in the solved equation E = V + F - 2.
Explanation:
To solve the equation V - E + F = 2 for E, we need to isolate E on one side of the equation. This can be done through simple algebraic manipulation as follows:
Start with the original equation: V - E + F = 2.Add E to both sides: V + F = E + 2.Now, subtract 2 from both sides to solve for E: E = V + F - 2.The solved equation for E is thus E = V + F - 2.
This equation shows the relationship between the vertices (V), edges (E), and faces (F) in a polyhedron, known as Euler's formula in the context of geometry.
Ben and Angela were riding their bicycles one afternoon. They kept track of their own cycling rates, as shown in the graphs below.
The student's question pertains to the mathematical analysis of motion, specifically through the interpretation of velocity versus time and position versus time graphs related to cycling activities and races.
Explanation:The question involves interpreting graphs that represent the velocity versus time and position versus time of two individuals riding bicycles and a race between friends. Students in middle school are often introduced to concepts of speed, velocity, and displacement and are tasked with analyzing graphs to understand these concepts in a practical scenario. The problem sets mentioned, including the velocity-time graphs, position-time graphs, and measurements of motion through various activities such as biking or collision events, are all connected to the mathematical analysis of motion in physics. By understanding how to read these graphs, students can determine factors such as constant velocity, average speeds, displacement, and the outcomes of simple collisions. These skills are essential in developing an understanding of kinematics, which is a branch of classical mechanics that describes the motion of points, objects, and systems of bodies without considering the causes of motion.
Solve the system of equations.
4x-9y - 2=0
12x-5y+38=0
x equals?
y equals?
Answer:(-4,-2)
Step-by-step explanation:
Marcus saves $13 each week.in how many weeks will he saved at least $100
Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide.she used exactly 3quarts of paint to cover the wall.How many square feet will 1quart of paint cover? Please explain
Which completely describes the polygon
A: equilateral
B: equiangular
C: regular
D: congruent
the shape is Hexagon
Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?
Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm
If 3p+4q=8 and 4p+3q=13, what is q equal to?
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.
Explanation:Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.
The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.
This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.
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a man deposited$800 in his account at a bank which offers 6% simple interest per annum. how much interest would he receive on the $800 after 9 months?? how long would it take for the $800 to increase to $992
It would take 1.8 years to to get $992 with a 6% simple interest annually.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that man deposited $800 in his account at a bank which offers 6% simple interest per annum.
Principal = $800
Rate = 6%
Time = 9
Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = (800× 6× 9) / 100
Simple Interest = 432 dollar
Also, Simple Interest = (Principal × Rate × Time) / 100
$992 = (800 × 6× Time) / 100
992 = 48× Time
Time= 20.6
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What is X the two numbers are 46 and 71
Line JM intersects line GK at point N. Which statements are true about the figure? Check all that apply.
GNJ is complementary to JNK.
MNL is complementary to KNL.
MNG is complementary to GNJ.
KNJ is supplementary to MNL.
GNM is supplementary to JNK.
Answer:
its 2 and 5
Step-by-step explanation:
Solver the equation 5= w + 1.5.
Your cookie recipe calls for 34 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you need? ...
A computer program reduces the length of each side of an 8'' by 8'' square photograph by 25%. What is the area, in square inches, of the reduced photo?
help its easy i just have to much work! i need 4-8