Answer: 5 billion pennies
Step-by-step explanation:
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]
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.
divide the LCM of 48,64,and 80 by thier HCF
Answer:
HCF=8
LCM=480
Step-by-step explanation:
prime factor trees
Answer:
60
Step-by-step explanation:
48=2×2×2×2×3
64=2×2×2×2×2×2
80=2×2×2×2×5
H.C.F.=2×2×2×2=16
L.C.M=2×2×2×2×2×2×3×5
L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60
A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
x ≈ 69.6°
Step-by-step explanation:
The angle of elevation is the measure of angle x
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°
The angle of elevation is 69.6° ( to the nearest tenth )
least to greatest.
8. Choose the inequality that represents the following
graph.
4 +
-5 -4
+
-2
-3
-1
0
1
2
3
4
5
A. x < 1
B. X<1
find
D. XX1
C. x > 1
Answer:
4+5-1535648&574£abjibav fgjr
Answer:
D. x ≥ 1
Step-by-step explanation:
The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.
The inequality representing the graph would be:
x ≥ 1
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.
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
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
- - - - - - - - - - - - - - - - - - - - - - - - -
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)
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
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!!!
Marking brainliest
What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!
To me, this means doing a righteous act has no constraint based on what situation anyone is in.
(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]
plzz help me ,.......
Answer:
Step-by-step explanation:
answer for question no 3
answer for question no 4
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.
( 18points)Help!!!
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Answer:
It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.
but nah, I won't, would be kinda focused on the toxic part then :D
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
#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
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
Find the missing side
Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
x = 12.35
Hope this helps!
Answer:
Step-by-step explanation:
Remember SOHCAHTOA.
In this case, we use TOA.
tan(39) = 10/x
x = 10/tan(39)
x = 12.349
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm. Show that ia + 91 +b=0 where a and b are integers to be found.
Answer:
[tex]x^2-10x+18=0[/tex]
a = -10 and b = 18.
Step-by-step explanation:
Let w represent the width of the rectangle.
We are given that the perimeter of the rectangle is 20 cm, this means that:
[tex]20=2(x + w)[/tex]
Let's put w in terms of x. Divide both sides by two:
[tex]10=x+w[/tex]
And solve for w:
[tex]w=10-x[/tex]
So, the rectangle measures x by (10 - x) cm.
According to the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a and b are the legs and c is the hypotenuse.
Substitute x for a, w for b, and 8 for c:
[tex]x^2+w^2=8^2[/tex]
Simplify and substitute:
[tex]x^2+(10-x)^2=64[/tex]
Square:
[tex]x^2+(100-20x+x^2)=64[/tex]
Isolate the equation. So:
[tex]2x^2-20x+36=0[/tex]
Since the leading coefficient is one, divide both sides by two:
[tex]x^2-10x+18=0[/tex]
Therefore, a = -10 and b = 18.
can I get some help in algebra 1
The bike owner counted 32 wheels and 18 seats.
Remember that each bicycle and unicycle has 1 seat. Use b for the number of
bicycles and u for number of unicycles.
Answer:
b = 14
u = 4
Step-by-step explanation:
I manually counted because I forgot how to solve this. HAHA
Hope this helps
what is the answer for , 5ײ + 1 + × + 3ײ
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
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
fjhghdjd ffjfnfnfjdj
Answer:
$77.90
Step-by-step explanation:
The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90
So the lowest pay is $77.90
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!
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3