Answer:
1. 3/5
2. 2/5
3. 1/5
Step-by-step explanation:
I'm pretty sure this is the answer :)
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]
Using a calculator, we can help verify this
[tex]\sqrt{97} \approx 9.85[/tex]
Re write 12% as common fraction in simple form
Answer:
3/25
Step-by-step explanation:
Answer:
=325
Showing Work:
12%=12100
=0.12
=0.121×100100
=12100
=325
Mary has $27 in her savings account. Each day she adds $1 to this account. Which equation best
represents the amount of money, y, Mary will have in this account after 3 days?
Answer:
y=1x+27
y=1(3)+27
Y=30
Step-by-step explanation:
X=DAYS
M=DOLLARS
Hope this helps brotha
simplify
x2 + 6 − (3x2 − 2x − 5)
The number of spectators at the 2010 World Cup match between Argentina and Mexico was 82000 correct to the nearest thousand. If each spectator paid 2600 Rand to attend the game what is the lower bound for the total amount paid? Write your answer in standard form
Answer:
$213,200,000 or 2.132*10[tex]^{5\\}[/tex]
Step-by-step explanation:
82000*2600
Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]
Step-by-step explanation:
i'm going to assume what you have looks like
[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]
Let's start by factoring everything
x²-9= (x+3)(x-3)
x²-16= (x+4)(x-4)
x²+5x+6=(x+3)(x+2)
x-4= x-4
which means what we have looks like
[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]
And I think that's as simplified as it can get
7.) The time needed to travel a certain distance varies inversely with the rate of speed. It takes 8 hours to travel a certain distance at 36 miles per hour.
a.) Write an equation to describe the situation. (Note: the variable that represents time must be on one side by itself.)
b.) How long will it take to travel the same distance at 60 miles per hour?
Answer:
t=time
v=speed
t=k/v
8hr=k/36 mi/hr
k=288 mi
t=288 mi24 mi/hr =12 hours.
-------------------
The distance is 288 miles by multiplying 36 by 8.
divide that by 24 mph, and it is 12 hours.
can I get some help in algebra 1
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
what is the answer? becuase i am just confused
Answer:
Step-by-step explanation:
radius of circle is 12
also there is 2 right angles in the triangle if you wanted to solve this problem yourself
but here's the answer:
arc angle of the triangle inside the sircle is double the angle closest to x.
(the pointy area of the triangle is half the angle length of the arc)
i can add more though:
5 oranges cost $2. Find the cost of 20 oranges.
===================================================
Work Shown:
(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)
5/2 = 20/x
5x = 2*20 .... cross multiply
5x = 40
x = 40/5 .... dividing both sides by 5
x = 8
20 oranges cost $8
--------------
Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".
5*4 = 20
So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars
Answer:
$8
Step-by-step explanation:
if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents
20 oranges multiplied by 40 cents is $8
or you can set up a proportion:
2/5 = x/20
cross-multiply to get:
5x = 40
x = 8
Given the similar rectangles, solve for x
1. X=12
2.x=18
X=21
X=14
Answer:
x=12
Step-by-step explanation:
since they are similar triangle .Use these ratios
9/6=x+9/14
do cross multiplication
6(x+9)=14*9
6x+54=126
6x=126-54
x=72/6
x=12
A store paid $800 for a computer. To make a profit, they need to sell it for 15%
more than what they paid. What is the new price of the computer
Answer:
$920
Step-by-step explanation:
800(1.15) = 920
#1. If someone puts $200 into an account at 8% interest for you when you are born, how much
money will you have when you are 65 years old?
Answer:
$1,040
Step-by-step explanation:
First, turn your percent into a decimal
8% = 0.08
Next, multiply your decimal by 65.
0.08 × 65 = 5.2
Lastly, multiply your product by $200
5.2 x $200 = $1,040
(120+30)÷[66÷11{26-3×8+(17-4×4)}] plz solve this question plz i will give u 15 points
Step-by-step explanation:
[tex]\frac{120+30}{\frac{66}{1126}-8*3+17-4*4 }[/tex]
[tex]\frac{-42225}{6458}[/tex]
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is the base of ladder from the wall
Answer:
The base of the ladder is 3.2 meters far from the wall.
Step-by-step explanation:
We need to calculate the base of a right triangle. The given information is:
h: hypotenuse = length of the ladder = 6 m
b: is the base =?
θ: is the angle between the hypotenuse and the base = 58°
To find the base we can use the following trigonometric equation:
[tex]cos(\theta) = \frac{b}{h}[/tex]
[tex] b = cos(\theta)*h = cos(58)*6 = 3.2 m [/tex]
Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!
plz help i have like 1 braincell
Answer: Should be (3, 1) :)
Step-by-step explanation:
Answer: (4,-8)
Step-by-step explanation:
you look at the point it is and flip it to a negative
please i need help, right now!!! i give the person the brainliest answer!! im giving 15 points… please help
Answer:
Ummmm its just a black screen
Step-by-step explanation:
solve the following the unknown -3(×+1)-2=4×-5(×-3)
Answer:
x = - 10
Step-by-step explanation:
Expand the equation first then simplify it
[tex]64y + 6x = [/tex]
[tex]\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]64 \: y + 6 \: x[/tex]
[tex] = 2 \: ( \: 32 \: y + 3 \: x \: )[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
2 ( 32y + 3 x)
Step-by-step explanation:
64 y + 6x
factor out 2 from the equation
2 ( 32y + 3 x)
14+ (42 + 7) + 32
Pls help me
Answer:
95
Step-by-step explanation:
14 + (42 + 7) + 32
14 + 49 + 32
63 + 32
95
Answer:
95
Step-by-step explanation:
Let's use BEDMAS to solve this (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
1. Calculate the brackets.
42 + 7 = 49
2. Add 14 + 49 + 32
14 + 49 + 32 = 95
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
You spin the spinner shown below once. Each sector shown has an equal area.
What is P(not squirrel)?
If necessary, round your answer to 2 decimal places.
KAHN ACADEMY
Hope This Helps!!!
Hope This Helps!!!Have A Great Day!!!
WILL GIVE BRAINLIEST
Determine whether each scenario below is an example of a BIASED or UNBIASED sample
Answer:
First : Unbiased
Second : Biased
what is the answer for , 5ײ + 1 + × + 3ײ
- - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
How many three digit numbers greater than 540 can be formed using the digits
0,2,4,5,6,8 ?
Answer:
At least 12
Step-by-step explanation:
I created 12 different number patterns greater than 540. I hope I was able to help you out :)