Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number
Answer:
x+(x+2) = 3(x+4) -27
Step-by-step explanation:
Let's look at all the parts.
Consecutive odd integers... that means that if x is the first one, then x+2 will be the next largest one, and x+4 will be the largest one. So if x is 5, x+2 is 7, and x+4 is 9.
ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground
Answer:
The ball will take 8.90 seconds to hit the ground.
Step-by-step explanation:
The height of a ball after t seconds is given by:
[tex]h(t)=40t-5t^2[/tex]
Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:
[tex]40t-5t^2=-40[/tex]
Rearranging:
[tex]5t^2-40t-40=0[/tex]
Simplifying by 5:
[tex]t^2-8t-8=0[/tex]
Solving the quadratic equation with the formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-8, c=-8
[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]
[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]
There are two solutions:
t=8.90 sec, t=-0.90 sec
Due to the nature of the problem, t cannot be negative, thus:
The ball will take 8.90 seconds to hit the ground.
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions be answered?
Given:
Total number of questions = 6
Choice for each question (in MCQ) = 4
Assuming that no questions are left unanswered.
To find:
The total number ways to answer the quiz, assuming that no questions are left unanswered.
Solution:
Here, Number of ways to answer each question = 4
To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.
Total number of ways to answer six-question quiz with 4-choice multiple choice questions is
[tex]4\times 4\times 4\times 4\times 4\times 4=4096[/tex]
Therefore, the required number of ways is 4096.
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
We have,
For each question on the quiz, there are 4 choices.
Since each question is independent of the others, the total number of ways to answer the entire quiz can be found by multiplying the number of choices for each question together.
There are 6 questions with 4 choices each.
4 choices for the 1st question * 4 choices for the 2nd question * 4 choices for the 3rd question * 4 choices for the 4th question * 4 choices for the 5th question * 4 choices for the 6th question
= [tex]4^6[/tex]
Using exponential notation,
[tex]4^6[/tex] = 4 * 4 * 4 * 4 * 4 * 4 = 4096
Therefore,
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
Learn more about expressions here:
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Jaiden wants to buy a new pair of jeans. If the jeans were originally $80.00, but are on sale with a 25% discount, how much will Jaiden have to pay for the jeans?
Answer:
he would have to pay $60
Step-by-step explanation:
The price of jeans that Jaiden has to pay after the discount will be equal to $60.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Original price of jeans = $80
Percentage discount on sale = 25%
Then, the discount of price on the jeans will be,
80 × 25/100 = $20
Then, the price of jeans after the discount will be,
$80 - $20 = $60
To know more about Percentage:
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find two numbers adding to 40 such that the sum of their square is as small as possible
Answer: 20+20
Step-by-step explanation: The sum of their square is 800 which is the lowest i've found so far
From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =
Select one:
a.
b.8
C.32
d. 16
plsss help it’s for geometry 2
Answer:
32
Step-by-step explanation:
The length of AC as per he sine of an angle is 32.
What is the sine of an angle in a right angle triangle?The sine of an angle is the ratio of the height and the hypotenuse of the triangle.
Given, ∠C = 30°
AB = 16
Therefore, sin ∠C = (AB/AC)
Therefore, sin (30°) = 16/AC
⇒ (1/2) = 16/AC
⇒ AC = 2 × 16
⇒ AC = 32
Learn more about the sine of an angle here: https://brainly.com/question/22688137
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Show work please.... thanks
Answer:
[tex]x=-155/6[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]
Step 2: Solve for x
Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]Answer:
x = -25.83333333
or as a fraction
-155/6
Step-by-step explanation:
What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube
This is my question
[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]
The question is: what is the approximate area of the circle when 3.14 is used for π?
Answer:
the answer is 113 in. squared
Answer:
The approximate are of the circle is 1017 in².
What is the GCF of 18x^2, 6x
Answer:
6x - Goes both into 18x^2 and 6x evenly.
To be honest, everything!
Answer:
?
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
same
Nine children and six adults bought tickets to the circus.
Which expression represents the total cost if c represents
the cost of a child's ticket and a represents the cost of an
adult's ticket?
Answer:
below
Step-by-step explanation:
9c + 6a = total cost
i don’t know how much she need to make
Answer:
4
Step-by-step explanation:
She can make 4. Have an amazing day
Solve: -19 = X - 19 halppppp
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
-19 = x - 19
Step 2: Solve for x
Add 19 to both sides: 0 = xRewrite: x = 0Step 3: Check
Plug in x to verify it's a solution.
-19 = 0 - 19
-19 = -19
Answer:
0
Step-by-step explanation:
Are the ratios 15:10 and 3:2 equivalent? yes no
Answer:
yesss they are
Answer:yes
Step-by-step explanation:
Evaluate 6p - 3 when p = 2
Answer:
9
Step-by-step explanation:
since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9
Which pair of angles are corresponding angles?
Answer:
Corresponding Angles
Step-by-step explanation:
Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.
Step-by-step explanation:
<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal
Ac=20 bc=2x+12 ab=2x+8find x
Answer:
x = 0
Step-by-step explanation:
AB + BC = AC
therefore
2x+8 + 2x+ 12 = 20
combine like terms
4x+ 20 = 20
Subtraction property of equality
4x + 20 - 20 = 20 - 20
4x = 0
Division property of equality
4x/4 = 0/4
x=0
Can someone help me out with this problem
Answer:
x = 117°
Step-by-step explanation:
Vertically opposite angles are equal
One of the triangle's properties is that the exterior angle is the sum of the opposite angles (interior angles)
At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?
Answer:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$
Hopefully this helps you
pls mark brainlest
what is 32.72 rounded to the nearest tenth
Answer:
32.7
Step-by-step explanation:
Two doesn't round up seven, so it just gets knocked off the end.
write 23.4571 correct to ,
a,4 significant figure
b,the nearest 10
Answer:
I would say B
Step-by-step explanation:
What’s 6•5+-36 divided by 6
And the dot is multiplication!
Answer:
the answer is -1 this is correct because a calculator is alwayd your frie d
Answer: -1
Step-by-step explanation:
6 times 5 is 30, then you add negative 36, which is really subtraction, so you get -6 divided by a positive 6 (negative divided by a positive is negative) which gives you -1
Please help I’m stuck
Answer: your answer would be c (-12,-24)
Step-by-step explanation: the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).
I hope this helps you out stay safe.
Compared to its parent function the transformation of the following : y= -3x - 3 + 4
a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up
b) stretched horizontally, moved 3 to the right and 4 up
c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up
d) stretched horizontally, moved 3 to the left and 4 down
Your bank account has a balance of $12 . You deposit $60 . What is your new balance?
Answer:
$72
Step-by-step explanation:
Just add it together
-3 3/8 x 3/8. and can u explain step by step. Pls Help me
Answer: -2 1/8
Step-by-step explanation: I can't explain but i think that is the answer.
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the model:
s = 10│x - 4│+ 50
s represents the sound level in decibels and x represents the number of measures of music played
To find x at s = 80
The equation becomes /
80 = 10│x - 4│+ 50
Subtract 50 from both sides of the equation
80 - 50 = 10 |x - 4| + 50 - 50
30 = 10 | x - 4 |
Divide both sides by 10
30/10 = 10|x - 4| / 10
3 = |x - 4|
|x - 4| is an absolute value expression
±3 = |x - 4|
x = 3 + 4 = 7
x = - 3 + 4 = 1
10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
received for her birthday and deposits her pay checks each month after that, write a function for the
total amount of money in her savings account based on how many months the account has been open.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
11. Kevin needs to get his truck fixed. The mechanic tells Kevin the part he needs will cost $75 and
there will be a fee of $60 per hour for labor. If the total cost to fix his truck is a function of the number
of hours the mechanic has to work (labor) on the truck, write a function to represent this situation.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
Answer:
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