Answers
The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.
How many batches of cookies can be made?In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.
Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch
4 ÷ 2/3
4 x 3/2 = 6 batches
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Related Questions
Circle X
A = 9π cm²
Circle Y
A =√3 cm²
Circle Z
A = 27.5 cm²
Which list shows the circles in order from greatest area to least area?
Answers
Answer:
C. Circle X, circle Z, circle Y
Step-by-step explanation:
X has the largest area; followed by Z and then Y
Two trains leave the city going opposite directions, one going north and the other going south. The northbound train is traveling 14 mph slower than the southbound train. After 3 hours the trains are 498 miles apart. Find the speed of each train
Answers
Let the speed of the southbound train be x mph. then the speed of the northbound train will be x - 14 mph.
Both trains are traveling in the opposite direction and going away from each other.
The distance traveled by southbound train in 3 hours will be 3x miles. The distance traveled by southbound train will be 3(x - 14) miles.
Therefore, the sum of distance covered by both the trains will be equal to 498 miles.
[tex]\begin{gathered} 3x+3(x-14)=498 \\ 3x+3x-42=498 \\ 6x-42=498 \\ 6x-42+42=498+42 \\ 6x=540 \\ x=90 \end{gathered}[/tex]Thus, the speed of the southbound train is 90 mph and the speed of the northbound train is 76 mph.
Pls help ASAP
The question is in the picture
Answers
Value of quadratic equation is x = -1 and 11.
Define quadratic equation.In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the standard form y = ax² + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: the square root of the sum of the squares of the values, given by y = x² + 3x + 1. a degree 2 equation with just one variable. Ax² + bx + c = 0, where x is the variable and a, b, and c are constants (a 0), is its general form.
Given Data
Equation
x² - 10x -11 = 0
x² -11x + x -11 = 0
Completing the square,
x(x - 11) + 1(x -11) =0
Taking common,
(x+1)(x -11) =0
x = 11. -1
Value of quadratic equation is x = -1 and 11.
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find the area of a circle
Answers
Answer:
452.16 ft²
Step-by-step explanation:
find radius
24 : 2 = 12 ft
find area (πr²)
π12² =
3.14 * 12² =
3.14 * 144 =
452.16 ft²
I need to know what this question means and how do i get the answer
Answers
In this problem, we need to create an expression that after applying one of the properties of exponents to simplify it, we obtain the given answer.
The first answer we have is:
[tex]8^{2/9}[/tex]The second one is:
[tex]\frac{x^4}{y^2}[/tex]The third one is:
[tex]\frac{64z^6}{81}[/tex]a. The first property is the product of powers:
[tex]a^m\cdot a^n=a^{m\cdot n}[/tex]In the first answer, we have the exponent 2/9, and we can express it as:
[tex]\frac{2}{9}=\frac{1}{9}+\frac{1}{9}[/tex]Then, the expression can be:
[tex]8^{1/9}\cdot8^{1/9}\text{ which is equal to }8^{2/9}[/tex]For the second answer we can rewrite the expression as:
[tex]\frac{x^2\cdot x^2}{y\cdot y}\text{ and when we apply the product property we obtain}\frac{x^4}{y^2}[/tex]For the third answer, we have:
[tex]\frac{64z^2\cdot z^4}{81}\text{ which is equal to}\frac{64z^{2+4}}{81}=\frac{64z^6}{81}[/tex]b. Power of a power property:
[tex](a^m)^n=a^{m\times n}[/tex]First answer:
[tex](8^2)^{1/9}=8^{2\times1/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{(x^2)^2}{y^2}=\frac{x^{2\times2}}{y^2}=\frac{x^4}{y^2}^{}[/tex]Third answer:
[tex]\frac{64(z^3)^2}{81}=\frac{64z^{3\times2}}{81}=\frac{64z^6}{81}[/tex]c. Power of a product:
[tex]a^mb^m=\mleft(ab\mright)^m[/tex]First answer:
[tex]4^{2/9}\cdot2^{2/9}=(4\cdot2)^{2/9}=8^{2/9}[/tex]Second answer:
[tex](\frac{x^{}}{y})^2\cdot(x)^2=(\frac{x}{y}\cdot x)^2=(\frac{x\cdot x}{y})^2=(\frac{x^2^{}}{y})^2=\frac{x^4}{y^2}^{}[/tex]Third answer:
[tex](\frac{8}{9})^2\cdot(z^3)^2=(\frac{8}{9}\cdot z^3)^2=\frac{64z^6}{81}[/tex]d. Negative exponent:
[tex]a^{-m}=\frac{1}{a^m}[/tex]First answer:
We can express the exponent as:
[tex]\begin{gathered} 2\times9^{-1}=2\times\frac{1}{9}=\frac{2}{9} \\ \text{Then:} \\ \text{ 8\textasciicircum(2}\cdot9^{-1})=8^{2/9} \end{gathered}[/tex]Second answer:
[tex]x^4\times y^{-2}=x^4\times\frac{1}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]64z^6\times9^{-2}=64z^6\times\frac{1}{9^2}=64z^6\times\frac{1}{81}=\frac{64z^6}{81}[/tex]e. Zero exponent:
[tex]a^0=1,a\ne0[/tex]First answer:
[tex]x^08^{2/9}=1\times8^{2/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{2^0x^4}{y^2}=\frac{1\times x^4}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]\frac{64z^6x^0^{}}{81}=\frac{64z^6\times1}{81}=\frac{64z^6}{81}[/tex]f. Quotient of powers:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]First answer:
[tex]\frac{8^{3/9}}{8^{1/9}}=8^{3/9-1/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{x^6}{x^2y^2}=\frac{x^{6-2}}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]\frac{64z^8}{81z^2}=\frac{64z^{8-2}}{81}=\frac{64z^6}{81}[/tex]g. Power of a quotient:
[tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]First answer:
[tex]\frac{16^{2/9}^{}}{2^{2/9}}=(\frac{16}{2})^{2/9}=8^{2/9}[/tex]Second answer:
[tex](\frac{x}{y})^2x^2=\frac{x^2}{y^2}\cdot x^2=\frac{x^2\cdot x^2}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex](\frac{8}{9})^2z^6=\frac{8^2}{9^2}z^6=\frac{64z^6}{81}[/tex]Add the expressions. the quantity negative 6 minus one half times p end quantity plus the quantity three fourths times p minus 9 end quantity 4 over 8 times p minus 3 2 over 6 times p plus negative 15 negative 2 over 4 times p plus negative 3 1 over 4 times p minus 15
Answers
The value of the expression is -39 - (13/6)p.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6 - [tex]1\frac{1}{2}[/tex] p + [tex]\frac{3}{4}[/tex] p - 9 + 4/8 x p - 3 + 2 / 6 x p + -15 - 2/4 x p + -3 + 1 / 4 x p - 15
We will combine all the like terms
6 - (3/2)p + (3/4)p - 9 + (1/2)p - 3 + (1/3)p - 15 - (1/2)p - 3 + (1/4)p - 15
6 - 9 - 3 - 15 - 3 - 15 - (3/2)p + (3/4)p + (1/2)p + (1/3)p - (1/2)p + (1/4)p
[ +(1/2)p and -(1/2)p gets canceled ]
-39 - (3/2)p + (3/4)p + (1/3)p + (1/4)p
[ (3/4)p + (1/4)p = p ]
-39 - (3/2)p + (1/3)p + p
-39 - [ (9p - 2p + 6p) / 6 ]
-39 - (13/6)p
Thus,
The value of the expression is -39 - (13/6)p.
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Answer:
b
Step-by-step explanation:
i did the quiz
What is the correct answer to: The difference of a number s and 6, but the expression
Answers
The given statement can be translated into an algebraic expression as: s - 6.
What is an Algebraic Expression?Algebraic expression can be defined as a mathematical statement that expresses a given statement or word problem using numbers, variables, and operation signs.
How to Translate a Phrase or Statement into an Algebraic Expression?To translate a given statement into algebraic expression, the unknown number is usually represented by a letter or alphabet.
In the given statement, "the difference of a number s and 6", s is the unknown number. "Difference" means subtraction. Subtraction would then be represented by the operation sign, "-".
The statement would therefore be translated into an algebraic expression as: s - 6.
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This is a 30-60-90 triangle. What is the measure of x? 8
Answers
If this is a 30 - 60 - 90 triangle. The measure of x is 8.
How to determine the measure of angle x?We would be making use of the given data or parameter to determine the measure of x
Given data;
30 - 60 - 90 triangle
4√3
Hence,
Based on the given triangle the smaller angle is 30°. Now let take the cos of the angle:
cos (30°) = 4 V3/x
cos (30°) = V3/2
V3/2 = 4V3/x
1/2 = 4/x
Multiply all the terms by the same value so as to eliminate the fraction denominator
2x × 1/2 = 2x × 4/x
Cancel multiplied terms that are in the denominator
2x × 1/2 = 2x × 4/x
x = 2 × 4
x = 8
Therefore we can conclude that 8 is the measure of x.
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Please help!
Charlee is using her calculator to find the product of two large numbers. Her calculator shows 1.78E12 on the display. Interpret what this means.
Answers
Answer:
i don't learn this because i learn in georgia 7 class
Answer:
I don't know what it means but I had seen something like that beforeTwo students have found the slope of a line on a graph. Jeffrey says the slope is 1/3.
Mary says the slope is 2/6. Did they find the slope of the same line. How do you know?
Answers
Answer:
They found the slope of the same line. This is because 2/6 is equal to 1/3.
What acceleration would that object need to achieve to create a force of 25 Newtons?
Answers
Answer: We want to find the acceleration needed to achieve a force of 25 Newtons.
The acceleration is:
a = 25N/m
By Newton's second law, we know that:
F = m*a
Force equals mass times acceleration.
So if we want to have a force of 25N, we replace F by 25N, so we get:
25N = m*a
Solving this for the acceleration, we get:
25N/m = a
Notice that we can't get the exact acceleration as we do not know the mass of the object, but we got a general formula where we can replace the mass of the object to get the exact acceleration.
Step-by-step explanation:
What is the linear function has the same slope in the graph?
Answers
The linear function that has the same slope is y = x
Equation of LineTo solve this question, we have to determine the slope and y-intercept for this graph.
We would need two coordinate points in order to do this;
A = (6, 6)B = (1, 1)The slope of a line is given as
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Let's substitute the values into the equation and solve.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{1 - 6}{1- 6}\\m = \frac{-5}{-5} \\m = 1[/tex]
The slope of the line is equal to 1
The y-intercept is the point at which the line touches the y-axis and in this graph, the y-intercept is at 0.
The equation of this line is equal to y = x
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PLEASE I NEED THIS ASAP
Which of the following correctly shows the re-grouping for 36 x 23?
30 x 20; 6 x 20; 30 x 3; 6 x 3
30 x 23; 6 x 20; 30 x 3; 6 x 3
30 x 20; 6 x 20; 30 x 6; 6 x 3
30 x 20; 6 x 23; 30 x 3; 6 x 3
Answers
Answer: 30 x 20; 6 x 20; 30 x 3; 6 x 3
Step-by-step explanation: When multiplying 36 and 23, we first start out by multiplying 3 and 36. Then we multiply 20 and 36 using the double digit multiplication method. We add those numbers to get 828.
3 • 36 can be broken into:
3 • 30 + 3 • 6
20 • 36 can be broken into:
20 • 30 + 20 • 6.
So 23 • 36 is equal to the sum of 3 • 30 + 3 • 6 + 20 • 30 + 20 • 6.
We also know that the grouping 30 x 20; 6 x 20; 30 x 3; 6 x 3 is correct because it’s the only answer choice that sums to 828.
0.79 divided by 0.6 correct to two decimal places??
Answers
Answer:
1.31
Step-by-step explanation:
The full answer is 1.316667.
Because you asked for 2 decimal spaces, the answer would be 1.31
Hop this helps!
Btw, could I get Brainliest if this is correct? Thanks!
i need help with finding the value for the ratio find how many cats to dogs and the ratio is 4:5 d you think you can help me please.
Answers
There are exactly 30 more cats than dogs and 5/9 of the pets at the farm are cats. Therefore, options C and E are correct answers.
Given that, the ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 4+5=9
Number of dogs = 4/9 × 270
= 120
So, number of cats = 270 - 120 =150
Now, difference in number of dogs to cats = 150-120
=30
There are exactly 30 more cats than dogs and 5/9 of the pets at the farm are cats. Therefore, options C and E are correct answers.
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"Your question is incomplete, probably the complete question/missing part is:"
The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:
a. The number of dogs is 4/5 the number of cats
b. 4/5 of the pets at the farm are dogs
c. There are exactly 30 more cats than dogs
d. There are exactly 30 dogs at the farm
e. 5/9 of the pets at the farm are cats
Please help me with this.
Answers
irrational numbers
Step-by-step explanation:
Because that are not rational numbers which cannot be represented as fraction
the height of a cone is twice the radius of its base. what expression represents the volume of the cone, in cubic units? o 2/3πx^3 o 4/3πx^2 o 2πx^3 o 4πx^3
Answers
Answer:
V=2/3πx^3
Step-by-step explanation:
Volume of Cone: V=r^2πh/3
h=2r --> height is twice the radius
V=r^2π(2r)/3
V=r*r^2π(2)/3
V=2/3πr^3
V=2/3πx^3
A hair has a length of 15 cm and a diameter of 0,1 mm. What is its volume in m3
Answers
If the hair has length 15 cm and diameter 0.1mm then , the volume of hair in m³ is 11.78×10⁻¹⁰m³.
In the question
it is given that ,
length of hair = 15 cm = 0.15m
diameter of hair = 0.1 mm
radius of hair = 0.05 mm = 0.00005 m
we know that , the shape of hair is cylindrical form,
the volume of cylinder is given by the formula = πr²h
Substituting the values , we get
Volume = π*(0.00005)²*(0.15)
= 0.4712*(0.00005)²
= 4712*25×10⁻¹⁴
= 117800×10⁻¹⁴
= 1178×10⁻¹²
= 11.78×10⁻¹⁰
Therefore , if the hair has length 15 cm and diameter 0.1mm then , the volume of hair in m³ is 11.78×10⁻¹⁰m³.
The given question is incomplete , the complete question is
A hair has a length of 15 cm and a diameter of 0.1 mm. What is its volume in m³ ?
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Solve for x and show your work.
1/2 (10x +8) - x = 16
Answers
I
[tex] \frac{1}{2} (2)(5 x+ 4) - x = 16 \\ 5x + 4 - x = 16 \\ 5x - x + 4 = 16 \\ 4x = 16 - 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3[/tex]
HOPE THIS HELPS
the sum of the measure of the acute angle in a right triangle is always 90 degrees
Answers
The acute angles in a right triangle, are the other two angles that are not the 90° angle.
These two acute angles are complementary angles:
This means that when you add them you always get 90°.
Answer: true
Can you write a word problem that is solved by completing 4 3/4 + 2 1/4 = ______
PLEASE HELP MEE
Answers
Word problems commonly include mathematical modelling questions, where data and information about a certain system is given and a student is required to develop a model.
We have been given that
4 3/4 + 2 1/4 = ?
Convert into word problem .
Bob has 4 apples in which 3/4 apples are good and also he has 2 bananas in which 1/ 4 bananas are good . Then find out how much of amout i good condition ?
Solution - 4 × 3/4 = 3
and 2 ×1/4 = 1/2
then total good = 3 + 1/2 = 3.5
If it is factor problem then
Solution -.
4 3/4 + 2 1/4 = ?
simlify the equation
= 19/4 + 9/4
= ( 19 + 9 ) / 4
= 28 / 4
= 7.
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793 one digit is right and in the right place.
725
one digit is right but in the wrong place.
317
two digits are right but both in the wrong place.
849
491
all digits are wrong.
one digit is right but in the wrong place?
Answers
Answer:
153
Step-by-step explanation:
Hello! Unsure if this is a proper question but I can sure try!
Let's start with the logic of it:
793:
To start with this one, one digit is right and is in the right place. From this step, we can't really infer anything.
725:
One digit is right but in the wrong place. Now we can do something here. There is another digit here that's correct but in the wrong place. We can eliminate 7 entirely from both 725 and 793 as they are in the same position and cannot be in the right and wrong place at the same time.
317:
Two digits are right but in the wrong places. Since we eliminated 7, the two right digits are 3 and 1, just in the wrong spots. At this point, we still need to figure out one more digit so we can't infer their positions just yet.
849:
All digits are wrong. This only affects 793, which removes 9. From here on out, 3 is the correct digit in the right place.
491:
One digit right but in the wrong place. From here, the rule from 849 applies here, meaning we can rule out 9 and 4, leaving us with 1.
From here, it gets a bit tricky. Since 3 is in the correct place. From 725, we have already ruled 7 out, leaving us with 2 and 5. But since we already know 3 is in the last place, it means 5 must be moved to the middle digit in order for 725's statement to be true. Meaning 2 is ruled out.
Finally, the only digit we are left with is 1 as for the rule of 317 and 491.
Making the answer 153.
Let me know if that is correct or wrong and do help me understand if it was wrong!
Please it’s argent!
What type of transformation is used when moving a knight in a game of chess? Meaning which direction clockwise or counterclockwise? 90, 180, or 270 degrees?
Answers
Answer:The knight moves multiple squares each move. It either moves up or down one square vertically and over two squares horizontally OR up or down two squares vertically and over one square horizontally. This movement can be remembered as an "L-shape" because it looks like a capital "L".
Step-by-step explanation:
this is all i got as a experienced player of chess. hope i helped some:).
I need some help with this.
Answers
Using a linear function, it is found that:
a. The graph of the function is given at the end of the answer.
b. The equation is: y = -7x + 366.
c. After 30 days, there is $156 in the account.
d. It will take 50.1 days for there to be $15 in the account.
What is a linear function?The slope-intercept representation of a linear function is presented as follows:
y = mx + b
The coefficients of the function are described as follows:
m is the slope of the function, representing the rate of change of the function, that is, by how much y changes when x changes by 1.b is the y-intercept of the function, which is the value of y when the function crosses the y-axis, i.e., when x = 0. In the context of this problem, it is the initial value of the balance.In this problem, we are given two points, as follows:
(6, 324) and (11, 289).
Hence the slope is:
m = (289 - 324)/(11 - 6) = -7.
Then:
y = -7x + b.
When x = 6, y = 324, hence the intercept b is calculated as follows:
324 = -7(6) + b
b = 324 + 42
b = 366.
Then the equation is:
y = -7x + 366.
After 30 days, the balance of the account is calculated as follows:
y = -7(30) + 366 = $156.
The number of days it takes for there to be $15 in the account is calculated as follows:
15 = -7x + 366
7x = 351
x = 351/7
x = 50.1 days.
The graph of the function is sketched at the end of the answer, on the domain 0 ≤ x ≤ 52.28, as after that the balance would be negative, would is not possible.
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a continuous random variable x has a normal distribution with a mean of 73 and a standard deviation of 14. in the sampling distribution of the sample mean for a sample of 16 elements, what is the z-score for a sample mean of 65.30?
Answers
z-score for a sample mean of 65.30 is 60.085.
Z-scores are calculated using the formula z = (x-)/, where x represents the raw score, the population mean, and the population standard deviation. The z-score is simply the raw score less the population mean, divided by the population standard deviation, as the calculation demonstrates.
What is standard deviation?When the standard deviation is low, the data are concentrated around the mean, and when it is large, the data are widely dispersed. ou Score, Mean, and Standard Deviation are expressed as Z Z= 65.30-73/14sZ=60.085.Standard deviation is important because it makes measurements easier to understand when the data is dispersed. The more equally distributed the data is, the bigger the standard deviation of the data will be.A z-score determines the distance between a data point and the mean using standard deviations. Z-scores may be positive or negative. The sign indicates whether the observation is above or below the mean.To learn more about standard deviation refer to:
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!!25 Points!!Solve using augmented matrices. Show your work
x+y=1
3x-y=7
Answers
x = 2 and y = 1 is the solution to the system of equation {x + y = 1, 3x -y = 7 }.
How to solve a system of equation using augmented matrices?Given the data in the question;
x + y = 13x - y = 7x = ?y = ?To solve for the value of x and y, first write the in matrix form.
[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\end{array}\right][/tex]
Find the reduced row echelon form, Row operation R₂ = R₂ - 3R₁
[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&-4&4\end{array}\right][/tex]
Multiply each element of R₂ by -1/4
[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}* 0&-\frac{1}{4}* -4&-\frac{1}{4}*4\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\end{array}\right][/tex]
Perform the operation, R₁ = R₁ - R₂
[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\end{array}\right]\\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\end{array}\right][/tex]
Therefore, the matrix result is x = 2 and y = -1.
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You make a game where people try to throw a ball in a hole. The backboard is 36 by 26 inches. If the diameter of the hole
is 10 inches, what is the probability of getting the ball in the hole? Assume the ball either goes in the hole or hits the
board. Give your answer as a DECIMAL.
Answers
The probability of getting the ball in the hole is 0.084.
We have a blackboard. The length of the blackboard is 36 inches. The width of the blackboard is 26 inches. The blackboard has a hole in it. The diameter of the hole is 10 inches.
We need to find the probability of getting the ball in the hole.
The area of the blackboard is the product of the length and width.
A1 = 36*26
A1 = 936 inches²
The area of the hole is πr².
A2 = π(5)²
A2 = 25π = 78.54 inches²
The probability of getting the ball in the hole is the ratio of the area of the hole to the area of the blackboard.
P = A2/A1
P = 78.54/936
P = 0.084
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Nina gets a $50 allowance each month (4 weeks). She spends $5 per week and saves the rest.
What percentage of her allowance doesshe save?
What will be the answer?
Answers
Using mathematical operations, we know that Nina saves 60% of his allowance which is $30.
What are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values.The complexity of the operation depends on how many operands there are.The four mathematical operations are functions that turn numerical inputs into numerical outputs (i.e., another number).These are multiplication, division, subtraction, and addition.So, the percentage of the amount Nina saves:
Nina gets $50 per month.She spends $5 per week which is:
5 × 4 = $20She saves:
$50 - $20 = $30Now, the percentage of savings:
30/50 × 1000.6 × 10060%Therefore, using mathematical operations, we know that Nina saves 60% of his allowance which is $30.
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In wilbur's math class, his grade is based on the average score of six tests, each worth 100 points. wilbur always worries about his grade. he knows that his average on the first four test is 88.5. what is the lowest average he could get on his next two tests and still average 90 overall.
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The lowest average he could get on his subsequent two tests and still have an average of 90 overall in the six tests is 93.
What is an average?An average is a middle value that indicates the mean.
The average is computed by dividing the sum of the data set by the number of values in the data set.
The number of tests = 6
The points for each test = 100
The total points for the 6 tests = 600 (6 x 100)
The average for the first four tests was 88.5.
The total score for the first four tests equaled 354 (88.5 x 4).
For Wilbur to get an overall average of 90, he needs to score a total of 540 out of 600.
The remaining scores in the two tests should be = 186 (540 - 354).
The average of the two remaining tests should be = 93 (186/2).
Thus, Wilbur needs to score 93 on average for the remaining two math tests.
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Claire deposited $2,500 into an account that accrues interest monthly. she made no additional deposits or withdrawals. after 2 years, claire had $2,762.35 in the account. what is the annual interest rate of the account? t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) p = initial (principal) investment v(t) = value of investment after t years
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Answer:
2+2=4
Step-by-step explanation:
v(t)=vt p=¥€
Answer:
the answer is
Step-by-step explanation:
5%
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