Answers
We have the expression 8 + w/4. By hypothesis, w = 16. So just replace the letter w by 16 and do the calculus.
8 + w/4 = 8 + 16/4 = 8+4 = 12
So 8 + w/4 = 12 when w = 16.
Hope this helps! :)
The evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
How to evaluate algebraic expressionGiven:
8 + w/4
when,
w = 16
substitute w = 16 into the expression8 + 16/4
= 8 + 4
= 12
Therefore, evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
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Related Questions
32x-28y=-36. and y=-7/8x-1 parallell or perpendicular
Answers
Jane, andre and maria pick apples. andre picks three times as many lbs as maria. jane picks two times as many as andre. the total weight of the apples is 840 lbs. how many lbs of apples does andre pick?
Answers
Andre picked 252 apples.
Evaluate {(30 + 6) - 3^2} divided by 9 x 2
A) 6.6
B) 6
C) 1.5
D) 34
Answers
36 - 9/9 * 2
36 - 2 * 1
36 - 2
34
Answer: D).
Here is what the equation looks like, -since some of it is in words.
{(30 + 6) - 3^2} / 9 * 2
We're now going to simplify..
{(30 + 6) - 3^2} / 9 * 2 ---> {36 - 3^2} / 9 * 2
{36 - 9} / 9 * 2 ---> 27 / 9 * 2
27 / 9 * 2 ---> 3 * 2
3 * 2 ---> 6.
Your answer is B.
Hope this helps! ☺♥
The sum of two numbers is 54. their difference is 34. find the numbers.
Answers
x - y = 34
----------------add
2x = 88
x = 88/2
x = 44
x + y = 54
44 + y = 54
y = 54 - 44
y = 10
so ur 2 numbers are 44 and 10
round 0.947 to the nearest 10
Answers
Hope that helps
Help please don't get it!!!!!!!!!!!!!!
Answers
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Work Shown:
Replace every x with -4 and then simplify the right side
f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9
Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.
To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula 2003-05-04-00-00_files/i0150000.jpg. Rewrite the equation to convert degrees Celsius to degrees Fahrenheit.
Answers
To convert Celsius to Fahrenheit, use the formula [°F] = [°C] x 9/5 + 32. For example, a 16°C temperature would convert to approximately 60.8°F.
The formula you are looking for to convert degrees Celsius to degrees Fahrenheit is [°F] = [°C] x 9/5 + 32. To perform the conversion, you multiply the temperature in degrees Celsius by 9/5 (or 1.8) and then add 32 to the result. This will give you the temperature in degrees Fahrenheit.
For example, if you wanted to convert 16°C to Fahrenheit (perhaps for planning a trip to Spain), you would do the following calculation: [°F] = 16 x 9/5 + 32 = 28.8 + 32 = 60.8°F. Thus, a weather forecast predicting 16°C is approximately equivalent to 60.8°F.
Urgent please!!!!!!!!!!!!!!!!!!!!!
Which of the following best defines ? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16
Square root of 16
Cube root of 4
Square root of 4
Cube root of 16
Answers
_____________________________________________________
Explanation:
______________________________________________
" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =
√16 * ∛6 *√4 *∛16 =
√16 * √4 * ∛6 * ∛16 =
4 * 2 * ∛6 * ∛16 =
8 * (∛6 * ∛16) =
8 * (∛(6 * 16) =
8 * (∛96) = ?
_________________________
What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
_________________________
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;
and: "8 * 12 = 96" ;
_________________________________
So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
__________________________________
and:
___________________________________
8 * (∛96) = 8 * 2 * ∛(12) ;
___________________________________
= 16 * ∛12 ; or, use a calculator to multiply to find the value:
= 36.6308557617066198 ; round to 35.631 .
___________________________________
The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.
Explanation:The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.
On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.
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A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
Answers
Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)
Answers
Answer:
(a+1)(a+27)
Step-by-step explanation:
Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial [tex]Ax^2+Bx+C[/tex] multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as [tex](x-/+ number)(x-/+number)[/tex].
[tex]a^2+28a+27[/tex]
A=1, C=27
A*C=27 and add to B=28 which 1 and 27 satisfy
The factors are (a+1)(a+27)
What value is added to both sides of the equation x^2 − 8x = −10 in order to solve by completing the square?
−8
16
−4
4
Answers
we need to get (x-a)^2 with x^2-8x to figure it out
using (x-4)^2=x^2-8x+16 we see to add 16
x^2-8x=-10
x^2-8x+16=6
(x-4)^2=6
x-4=sqrt6
x=4+sqrt6 to solve for x
Not really sure how to do this one (ignore writing above)
Answers
Solve the inequality 2x + 8 < 5x - 4
A) X > 4
B) X > 1
C) X < 1
D) X < 4
Answers
2x + - 5x < -8 - 4
-3x < -12
x > 4
answer
A) X > 4
Multiply. (6x−7)(5x+8)
Answers
Using the distributive property:
= 6x(5x+8) -7(5x+8)
= 30x^2 +48x -35x -56
= 30x^2+13x-56
The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
(6x − 7) and (5x + 8)
Multiply the polynomials, then we have
⇒ (6x − 7) · (5x + 8)
⇒ 6x · (5x + 8) − 7 · (5x + 8)
⇒ 30x² + 48x − 35x − 56
⇒ 30x² + 13x − 56
The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.
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Provide conditions under which the mean function is linear but has a negative coefficient
Answers
Jason has 34 blueberry scones and 85 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of blueberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason call fill? Explain how you know.
Answers
i believe it would be 17.
hope it helps :)
Answer:
Each Bag can fit 2 Blueberry Scones and 5 Blackberry Scones
Step-by-step explanation:
Given:
34 Blueberry scones
85 Blackberry scones
34 Blueberry so 34 divided by the Bag 17 (34 ÷ 17 = 2)
85 Blackberry scones so 85 divided by the Bag 17 ( 84 ÷ 17 = 5)
Therefore Jason can put 2 Blueberry scones and 5 Blackberry scones in each Bag
The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
3. Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
Answers
1. The expression x3+3x2+x-5 represents the total length across the front of the mansion. Find the length of side I. Show all work. X will stay a variable and your answer will be a polynomial.
Answers
[tex]x^4-2x^3+x-10+a-x^3+5x^2+2=x^3+3x^2+x-5 \\ \\ \Rightarrow a=x^3+3x^2+x-5-x^4+2x^3-x+10+x^3-5x^2-2 \\ \\ =\bold{-x^4+4x^3-2x^2+3}[/tex]
According to the data reported by the new york state department of health regarding west nile virus for the years 2000-2004, the least squares line equation for the number of reported dead birds (x) versus the number of human west nile virus cases (y) is y = −10.2638 + 0.0491x. if the number of dead birds reported in a year is 748, how many human cases of west nile virus can be expected? (round your answer to the nearest whole number.)
Answers
Final answer:
Using the least squares line equation y = −10.2638 + 0.0491x and substituting 748 for x, the number of reported dead birds, we find the expected number of human West Nile virus cases to be approximately 26 when rounded to the nearest whole number.
Explanation:
The question asks to predict the number of human West Nile virus cases based on the number of reported dead birds using a least squares line equation provided. Given the equation y = −10.2638 + 0.0491x and the value x = 748, which represents the number of dead birds, we can substitute x into the equation to calculate y, the expected number of human cases.
The calculation is as follows:
y = −10.2638 + 0.0491 × 748
y = −10.2638 + 36.7268
y = 26.463
After performing the calculation, we round the result to the nearest whole number:
Expected number of human cases = 26
Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three consecutive even integers is 48. what are the numbers?
Answers
-21÷3=-7 which is the exact center so
-6, -7, -8
Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6
2. Consecutive Odd Integers
X, X+2, X+4
X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer
3. 3 consecutive even number x, x+2, x+4
X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18
Final answer:
Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.
Explanation:
To determine between which two consecutive integers a given square root lies without a calculator:
For<6: √18 is between 4 and 5 because 4< √18<5.
For<5: √29 is between 5 and 6 because 5< √29<6.
For=5: √5 is between 2 and 3 because 2< √5<3.
For>7: √79 is between 8 and 9 because 8< √79<9.
describe the end behavior of the function. f(x)=x^3+11x^2+35x+30
Answers
First, the leading term is positive, so we won't have to negate anything.
The leading term has a power that is odd.
Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.
This also means that the function goes to negative infinity as x goes to negative infinity.
Those are the end behaviors.
Have an awesome day! :)
Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.
Answers
for estimating round both the price of shoes and the percentage to round numbers
97.65 is close to 100, so use 100 for the price of shoes
68% is close to 70 so use 70%
then multiply 100 by 70 %,
100 *70% = 70 dollars
so Isaac would pay around 70 dollars
Step-by-step explanation:
first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit
Simplify the expression where possible.
(-5x^2)^3
Answers
-5x^2*3=
-5x^6
-125x^6. When multiplying exponents you add them and 5^3 =125. since 3 is odd, then you keep the negative sign
What is the answer to 45,469.23 rounded to the nearest thousand?
Answers
When rounding numbers to the nearest thousand, you look at the hundreds place digit. If it's 5 or higher, you round up, and if it's 4 or lower, you don't. Therefore, 45,469.23 rounds down to 45,000.
Explanation:When rounding numbers to the nearest thousand in mathematics, you must first look at the hundreds digit of the number. In the case of 45,469.23, the hundreds digit is 4. If this digit is 5 or higher, you round up; if it's 4 or lower, you don't round up. Therefore, since the digit in question is 4, which is less than 5, you don't need to increase the thousands digit. As a result, when you round 45,469.23 to the nearest thousand, you get 45,000.
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Experts/ace where do i out the dots?
Answers
divide total paid by number of pencils for price of 1 pencil
4.50 / 18 = 0.25 for 1
so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots
see attached picture:
What is the solution to –4|–2x + 6| = –24?
A.) x = 0
B.) x = 0 or x = –6
C.) x = 0 or x = 6
D.) no solution
Answers
-4║-2x+6║=-24
-4/-4║-2x+6║=-24/-4 division property
║-2x+6║=6 simplified
Positive Negative
-2x+6=6 -2x+6=-6
-2x+6-6=6-6 -2x+6-6=-6-6 subtraction property
-2x=0 -2x=-12 simplified
-2/-2x=0/-2 -2/-2x=-12/-2 division property
x=0 x=6
C.) x = 0 or x = 6
A color printer prints 27 pages in 9 minutes. how many pages does it print per minute?
Answers
The printer is printing 3 pages per minute
Clearview Window Cleaners washes 20 office windows in 168 minutes. How many hours is that?
Answers
How to find the y-intercept from two points?
Answers
To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.
Explanation:The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.
Here's a step-by-step process to find the y-intercept:
First, calculate the slope (m) from your two points using the formula: m = (Y₂ - Y₁) / (X₂ - X₁). Y₂ and Y₁ represent the y-values from your two points, and X₂ and X₁ represent their respective x-values.Substitute the slope (m) and one of your points into the equation y = mx + b. Solve for b which is your y-intercept.The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.
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which graph shows the inequality n>2
Answers
hope this helps!