Answer:
14
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
A movie ticket costs 10 dollars, and three people go.
10 x 3 = 30
42 - 30 = 12
The leftover money is for buying popcorn for each person.
12 / 3 = 4
So, it would cost 4 dollars for one person to buy a popcorn.
-x^2 -8=-33 Enter the solutions from least to greatest.
Answer:
x = -5, 5
Step-by-step explanation:
Step 1: Write out equation
-x² - 8 = -33
Step 2: Add 8 on both sides
-x² = -25
Step 3: Divide both sides by -1
x² = 25
Step 4: Take square root on both sides
x = ±5
Step 5: Arrange
-5 < 5
So x = -5, 5
Factor the polynomial 8x2 - 50
Answer:
2(2x - 5)(2x + 5)
Step-by-step explanation:
[tex]8x^{2} -50[/tex]
First pull out 2.
2[tex](4x^{2} -25)[/tex]
We can see each is a square after pulling out 2.
square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:
2(2x - 5)(2x +5)
Let's check our work. Focus on the ( ) first.
2(2x - 5)(2x + 5)
2x * 2x + 2x * 5 - 5 * 2x - 5 * 5
4[tex]x^{2}[/tex] + 10x - 10x - 25
4[tex]x^{2}[/tex] - 25 Can't forget to multiply by 2!
2 (4[tex]x^{2}[/tex] - 25 )
8[tex]x^{2}[/tex] - 50
Ok so I'm taking precalculus and my teacher asked this question and I don't understand it at all Describe a situation with an output of area in square feet that can be modeled using the function f(x) = (x)(2x + 5).
Answer:
x=3
Step-by-step explanation:
3 square ft
can someone plz help again? sorry
Answer:
Subtraction property of equality
Step-by-step explanation:
[tex]x+1=-2\\[/tex]
Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign
Answer:
Last one
Step-by-step explanation:
Gabriella's step is justified by the substraction property of equality.
● x + 1 = -2
Gabriella substracted 1 from both sides
● x + 1 - 1 = -2 - 1
● x = -3
solve the following equation show your work 9 + 12m = 6 + 15(m - 1)
What’s a coefficient
Answer:
The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.
Answer:
A numerical or constant quantity placed before and multiplying the variable in a algebraic expression
I am in a subset of rational numbers, I am not negative, I am a whole number, I am not a natural number, what number am I?
Answer:
Step-by-step explanation: 0 because it is not considered a natural number.
11. An AC waveform has a peak voltage of 50 VAC. What's the
waveform's RMS voltage?
O A. 50.0 VAC
B. 35.4 VAC
C. 24.8 VAC
O D.52.8 VAC
Answer:
Option B - 35.4 VAC
Step-by-step explanation:
Formula for peak voltage is;
V_p = V_rms × √2
Making V_rms the formula, we have;
V_rms = (V_p)/√2
We are given:Peak voltage: V_p = 50 VAC
Where 50 VAC means 50 Volts AC power
Thus;
V_rms = 50/√2
V_rms ≈ 35.4 VAC
So option B is correct
A rectangle is a 6 2/3 feet long and 3 1/5 feet wide. About how many feet is the distance around the rectangle
Answer:
[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]
Step-by-step explanation:
The distance around the rectangle is also known as the perimeter of the rectangle.
The formula for the perimeter of a rectangle is 2l+2w.
The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:
P=2l+2w
=2(6 2/3)+2(3 1/5)
=2(20/3)+2(16/5)
=40/3+32/5
--(LCD is 15)
= 5/5(40/3)+3/3(32/5)
=200/15+96/15
=296/15 or 19 11/15 feet
The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].
Any distinct quantity contained in a polynomial.
O Power
O Term
O Base
O Integer
Answer:
answer is B
Step-by-step explanation:
a+b/c=5. Solve for b
Answer:
b = c(5 - a)
Step-by-step explanation:
Given
a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )
[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )
b = c(5 - a)
The value of b form the equation a + b/c = 5 will be b = c(5 - a)
How to evaluate a given mathematical expression with variables if values of the variables are known?We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
Given;
a + b/c = 5
subtract a from both sides;
b/c = 5 - a
multiply both sides by c to clear the fraction;
b = c(5 - a)
Hence, The value of b form the equation a + b/c = 5 will be b = c(5 - a)
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
#SPJ2
Convert the following:
3 liters is equivalent to
pints
Answer:
3 liters is equvilent to 6.34 pints
Step-by-step explanation:
Simplify: 7-24÷8x4+6
The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:
Given:
[tex]\bold{ 7-24\div 8\times 4+6}[/tex]
To find:
Simplification=?
Solution:
Using BODMOS rule
[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]
Therefore, the final answer is "-11".
Learn more:
brainly.com/question/1661958
q2-b2Evaluate if a=4 and b =-2
Answer:
12
Step-by-step explanation:
Plug the given values into the equation to solve.
a² - b²
(4)² - (-2)²
16 - 4
12
PLEASE HELP ME DUE TODAY!!
Answer: D) neither
Step-by-step explanation:
If you plug in any of the given coordinates, the answer is always incorrect
Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h" be the number of hours. When will the temperature be below 32*F?
Write an inequality for this problem.
We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
4.5 hours = 4 hours, 30 minutes = 270 minutesthe inequality sign flips whenever you divide both sides by a negative numberAfter 1 hour 46
After 2 hour 42
After 3 hour38
After 4 hour 34
After 4 (1/2) hour 32
when multiplying or dividing a negative and negative number your results will be
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada. A. Did Jada drink more or less water than Elena? 1 point
Answer:
A. Jada drank less water than Elena
B. Lin drank more water than Elena
Step-by-step explanation:
Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
A. Did Jada drink more or less water than Elena?
B. Did Lin drink more or less water than Elena?
Elena drank 3 liters of water
Jada drank 3/4 times as much water as Elena.
Lin drank twice as much water as Jada
Elena = 3 liters
Jada = 3/4 × Elena
=3/4 × 3
=9/4 liters
=2 1/4 liters
=2.25 liters
Lin=2×Jada
=2×9/4
=18/4
=4 2/4
=4.5 liters
Did Jada drink more or less water than Elena?
A. Jada drank less water than Elena
Because 2.25 liters is less than 3 liters
B. Lin drank more water than Elena
4.5 liters is greater than 3 liters
Please find the answers
Answer: -4,-3,-2,-1,0,1,2,3
Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.
Arrange the following terms into appropriate categories?
Please help me
Answer:
Real:
231/3cube root of -27sq root of 8cube root of 645.680%-3/70Imaginary:
sq root of -4-5i17i2/5iComplex:
-5.7 - 4i2/5 - 5/8i2 + 3i-1.5 + 17iStep-by-step explanation:
A real number is a number that exists in real life.
An imaginary number is a number that doesn't exist, hence it has the letter i in it.
A complex number consists of a real number and an imaginary number.
If you would like more help in math or other subjects for FREE, check out growthinyouth.org.
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
8. C is between Q and R. If QC=2x, RC=3x, and QR=15
What is x?
Please show all work and not just the answers.
Answer:
3
Step-by-step explanation:
QC=2x
RC=3x
QR=15
THEREFORE,
QC+RC=QR
=>2x+3x=15
=>5x=15
=>x=15/5
=>x=3
How do I "undo" multiplication
ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.
HOPE IT HELPS
A basketball player made 36 free throws in 16 games.find the ratio of free throws to games.
Answer:
36/16, 36:16, 36 to 16
Step-by-step explanation:
all above are correct
you can write ratios 3 different ways
The integer
is neither positive nor negative.
Answer:
false
Step-by-step explanation:
an integer is any number greater or less than 0
9.51 as a mixed number in a simplest form
Answer:
Below
Step-by-step explanation:
9 [tex]\frac{51}{100}[/tex]
Answer: 9 51/100
Step-by-step explanation:
STEP 1. Convert it into improper fraction
9.51=951/100
STEP 2. Convert improper fraction into mixed fraction
951 ÷ 100=9 R 51
9 51/100
Hope this helps!! :)
Please let me know if you have any question
- Mary earns an hourly wilge of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?
Answer:
39 hours
Step-by-step explanation:
Mary earns an hourly wage of $13
plus a $90 bonus.
Her total paycheck shows she received $597
Subtracting the bonus we get;
$597 - $90 = $507
1 hour -> she gets $13
how many hours will she get $507
Cross multiplying gives;
[tex]\frac{507}{13} * 1 = 39[/tex] hours
Answer:
Mary worked 39 hoursStep-by-step explanation:
$597 - $90 = $507 - payment for hours only
507÷13 = 39
The 8 students in Mrs. Allen's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 4, 12, 9, 6, 3, 15, 15, 6 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answer:
Mean: 8,75
Median: 7,5
Step-by-step explanation:
To find Mean
To find the mean data you have to put data all set in order:
3, 4, 6, 6, 9, 12, 15, 15
Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:
3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70
There are 8 numbers in the data so divide 70 by 8:
70 ÷ 8 = 8,75
----
To find Median
The median is in the middle number of the data that already in order. Which is number 6 and 9.
Median = (6 + 9) ÷ 2
Median = 15 : 2
Median = 7,5
Manny is watching the past three seasons of a The Big Bang Theory. He watched 8
episodes in 6 hours. At this rate, how many episode will he watch in 15 hours?
90
48
20
3.2
Answer:
20 episodes
Step-by-step explanation:
Can someone please please help me I don’t understand
Answer: Pretty sure the answer is C
Step-by-step explanation:
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd? reflection over the x-axis vertical stretch by a factor of 7 translation 8 units to the right horizontal compression by a factor ofOne-half
Answer: translation 8 units to the right
Step-by-step explanation:
An even function is a function such that:
h(x) = h(-x)
and the function is odd if:
h(-x) = -h(x)
Now, let's talk about transformations:
A) Reflection over the x-axis:
When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:
(x, -y).
Then for the case of a function:
y = h(x).
then the reflection will be:
g(x) = - y = -h(x).
And if h(x) is even, -h(x) is also even, so this is not the correct option.
B) Vertical stretch by a factor of 7.
This is written as:
g(x) = 7*h(x).
then:
g(x) = 7*h(x)
g(-x) = 7*h(-x) = 7*h(x) = g(x)
the transformation is even.
C) Translation of 8 units to the right.
We can write this as:
g(x) = h(x - 8).
Then:
g(-x) = h(-x -8) = h(x + 8)
Then g(-x) is not equal to g(x)
and also g(-x) ≠ -g(x)
So in this case the transformation is neither odd or even.
C) horizontal compression by a factor of One-half.
This transformation is written as:
g(x) = h( (1/2)*x)
And, similar as the case of the vertical compression, in this case the transformation is also even.
Answer: C
Step-by-step explanation:
Translation 8 units to the right