Answer:
Look below
Step-by-step explanation:
-x*3x*2x=6x^3
-6x^3<900
-(cube root both sides)
-6x<9.654893846
-divide by 6
-x=1.609148974
And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved
For given cuboid, x < 5
What is cuboid?"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."
Formula of the volume of the cuboid:V = l × w × h
where, l: length of the cuboid
w: width of the cuboid
h: height of the cuboid
For given example,
We have been given the total volume of the cuboid is less than 900 cm^3
⇒ V < 900 cm³
the length of the cuboid (l) = 3x
the width of the cuboid (w) = 2x
the height of the cuboid (h) = x
Using the formula of the volume of the cuboid,
⇒ V < 900
⇒ l × w × h < 900
⇒ (3x) × (2x) × (x) < 900
⇒ 6x³ < 900
⇒ x³ < 150
⇒ x < 5.3
⇒ x < 5
Therefore, for given cuboid, x < 5
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Change the mixed number to a fraction: 1 1/2 = _____
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
What is the scale factor and how do you find it?
Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the
triangle is right
Answer:
find the squares of both numbers
5²= 25
13²=169
minus the squares
169-25=144
find the square root of the answer above
✓144=12
the possibility of the third side is 12
Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)
Answer:
Step-by-step explanation:
a^2+b^2=c^2
17^2+7.6^2=c^2
[tex]\sqrt{17^2+7.6^2}[/tex]=c
c=18.6214
corrected to 1dp= 18.6 m
Rodger has 22 coins, all quarters and nickels. The total value of the coins is $2.70. How many of each type of coin does he have?
Answer:
3 quarters and 19 nickles
Step-by-step explanation:
.
3
A specific shade of paint requires 3 part red to 5 parts blue. How
much blue paint must be added to 2 cups of red paint to create the
desired shade?
a. 1 1/5c
b. 3 1/3c
C. 40
d. 5c
What is the average of 4 1/2, 3 1/3, 2 , 2 1/6
Answer:
3
Step-by-step explanation:
To find the average add all these numbers together, then divide by how many numbers you have.
[tex]4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12[/tex]
[tex]\frac{12}{4} =3[/tex]
[tex]Answer: 3[/tex]
Sumita is following this recipe to make flapjacks.
Sumita uses 25 g of sultanas.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
250 g margarine
175 g sugar
125 mL syrup
250 g oats
50 g sultanas
Answer:
7......do you need explanation?
PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST
Answer:
363.0449
Step-by-step explanation:
Use the Pythagorean Theorem to solve for the height.
To find a squared, add 13 squared plus 5 squared then find square root.
13.93 is about it.
Then do 13 squared plus 13.93 squared and find the square root.
363.0449
What is the length of line segment HJ?
Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
-X + 5+ 4x
simplify the expression
Answer:
3x+5
Step-by-step explanation:
combine like terms, and get 3x+5
For the function g(x) =10 x ^5/x-2, what is the inverse function?
Answer:
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
Step-by-step explanation:
So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:
[tex]y=10\sqrt[5]{x-2}[/tex]
Then, we switch all the y and x variables, like this:
[tex]x=10\sqrt[5]{y-2}[/tex]
Now, we solve for y to find the inverse function:
[tex]x=10\sqrt[5]{y-2}[/tex]
[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]
[tex](\frac{x}{10})^{5} =y-2[/tex]
[tex](\frac{x}{10})^{5} +2=y[/tex]
[tex]y=(\frac{x}{10})^{5} +2[/tex]
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
y= -3x + 1 and y= x - 3
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
A triangle with base 11 and height 8
Answer:
how can you ask perfectly...
 examples on how you use is mathematics inside or outside of school
someone plz help meee
Answer:
33d
Step-by-step explanation:
33 is the total fish in each tank
d represent the number of tanks
To find the total fish we multiple 33 and d
33 x d = total fish
so 33d is the correct expression
HELPPPPPP SOMEONE PLEASE
Answer:
the answer should be A) 12
Step-by-step explanation:
54 ÷ 3^2 × 2
54 ÷ (3 × 3) × 2
54 ÷ 9 × 2
6 × 2
12
PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST
Answer:
2
Step-by-step explanation:
(6*2.5)/6.5 = 30/13
Answer:I think its B 30/13
Step-by-step explanation:
I used a calculator
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
2 + c = 7
c = 7
c = 9
c - 2 = 7
Answer:
Step-by-step explanation:
c =7
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?
Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
What would number 35 and 36 Be?
Answer:
35 c 36 d
Step-by-step explanation:
Mark dug a 20 foot hole in 4 hours. Which rational number shows the average depth Mark dug each hour? Check all that apply.
(A) –5
(B) [tex]\frac{-20}{4}[/tex]
(C) −[tex]\frac{4}{20}[/tex]
(D) −[tex]\frac{20}{4}[/tex]
(E) [tex]\frac{-4}{20}[/tex]
(F) [tex]\frac{-20}{-4}[/tex]
Answer:
A,B,D
Step-by-step explanation:
it just has to equal -5 lol
Answer:
A,B,D
Step-by-step explanation:
if a function is y = x - 8 , then what is the value of the function when x = 10
Answer:
2
Step-by-step explanation:
Richard Hoskins was the leader of a 4-H club with 27 children. When he divided the club into groups of 5 to play a game, how many groups did he have? How many extra children were there?
Answer:
5 groups
2 extra children
Step-by-step explanation:
The computation of a number of groups and number of extra children is shown below:
Given that
There is 27 children
And, this group would be divided into group 5
So,
As we know that 25 is easily divided by 5
So there are 5 groups
And, the extra children is
= 27 - 25
= 2 chidren
1.When two variables are proportional which of the following is constant?
(1) their sum
(3) their product
(2) their ratio
(4) their difference
Answer:
Their Ratio
Step-by-step explanation:
You switched the numbers 2 and 3 btw
[tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio
A ratio indicates how many times one number contains another.
Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.
When two variables are proportional, [tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio is constant.
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6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16
PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE
Answer: a
Step-by-step explanation:
Tell me if it is correct
Given : A toy car is placed on the floor. Its movement details are given
Answer:
Given : A toy car is placed on the floor. Its movement details are given
To find : Distance covered by Car & graph to be plotted
Solution:
Start from rest
u = 0 at t = 0
Constant acceleration for 3 sec reaching velocity 4 m/s
V = U +at
=> 4 = 0 + a(3)
=>a = 4/3 m/s²
Distance here S = ut + (1/2)at²
S = 0 + (1/2)(4/3)3²
=> S = 6 m
deceleration of 0.5 m/s² for 4 sec
=> v = 4 - (0.5)4
=> v = 2 m/s
Distance here = 4(4) - (1/2) (0.5)4²
= 16 - 4
= 12 m
Total Distance = 6 + 12 = 18 m
Total Distance traveled by toy Car = 18 m
Graph attached
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Step-by-step explanation:
Write the algebraic expression for the situation. I have 3 times as many
chickens as Bob. (Use b as the variable for Bob).
Answer:
Y= 3b
Step-by-step explanation: