Thomas made 8700 ml of tomato soup.he packed 1.6L of the soup in his kids lunches .he then froze half of the remaining soup.
How many millimeters of soup did Thomas freeze
Answer: 3550
Step-by-step explanation:
1.6L equals 1600mL
8700-1600=7100 remaining
7100 divided by 2 = 3550
The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.
The radius of the sphere is 3x cm.
The volume of the cylinder is equal to the volume of the sphere.
Express h in terms of x. Give your answer in its simplest form.
Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is its base radius and h the height
volume of the given cylinder = [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x [tex](2x)^{2}[/tex] x h
= [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x 4[tex]x^{2}[/tex] x h
= [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius.
volume of the given sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x [tex](3x)^{3}[/tex]
= [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x 9 [tex]x^{3}[/tex]
= 12[tex]\pi[/tex][tex]x^{3}[/tex]
Since,
volume of the cylinder = volume of the sphere
Then we have;
[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h = 12[tex]\pi[/tex][tex]x^{3}[/tex]
4[tex]\pi[/tex][tex]x^{2}[/tex] h = 36[tex]\pi[/tex][tex]x^{3}[/tex]
subtract [tex]x^{2}[/tex] from both sides
4[tex]\pi[/tex]h = 36[tex]\pi[/tex]x
divide both sides by 4[tex]\pi[/tex]
h = [tex]\frac{36\pi x}{4\pi }[/tex]
= 9x
h = 9x
Help me in this math work
And are you willing to help me with the rest of the nine questions?
Answer:
C, -3p
Step-by-step explanation:
Answer:
-3p
Step-by-step explanation:
7p-10p=-3p
only ask a minimum number of questions each time.
What is the value of f(x)=2x + 1, when x = 5?
acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s
Answer:
acceleration is 0.2m/s²
Step-by-step explanation:
Vf=Vi+at
Lets susbtitute our known variables into the equation
2.2=1.4+a(4)
We get
a=0.2m/s²
Expand and simplify:
a(a + 5)
Answer:
a squared+ 5a
Step-by-step explanation:
a(a+5)
multiply everything inside the bracket
a times a is a squared
a times 5 is 5a
i hope i helped
please give me a brainliest!!<3
HELP ME PLEASEEE IM HAVING TROUBLEEE
Answer:
B
Step-by-step explanation:
-1.5 x 7 = -10.5
Answer:
A
Step-by-step explanation:
This correctly describes the situation.
Boris currently has a savings account. He saves $25 per month.
He saves the same amount each month and does not take any
money out of the account. In how many months will Boris have
$250?
Answer:
Boris will have $250 in 10 months.
Step-by-step explanation:
$25 = one month.
$250= ?months
To find ?, the months we divide 250 by 25 to get this:
250 ÷ 25 = 10
10 months is the amount of time Boris will have to wait until he saves up $250.
Hope this helps you! Good luck with your quiz! :)
Seiko spent $98.34 on a pair of shoes and 3 pairs of fancy shoestrings. The shoes cost $45.99. How much was EACH pair of shoestrings?
Answer:
$17.45
Step-by-step explanation:
$17.45*3=52.35
$52.35+$45.99=$98.34
A mailbox that is feet tall casts a shadow that is 6 feet long. At the same time, a nearby ferris wheel casts a shadow 84 feet long. Find the height of the ferris wheel.
Answer:
63 feet
Step-by-step explanation:
I will give brainliest!!!
Answer:
B
Step-by-step explanation:
Okay, so this is a fairly challenging problem.
Parallel lines have the same slop, but different y-intercepts.
The new equation is y = 4/3 x + b
Now substitute x and y for the point's coordinates...
-4 = 4/3 (3) + b
(solve for b)
-4 = 12/3 + b
-4 = 4 + b
b = -8
The final equation is:
y = 4/3 x - 8
In point-slope form, this is B
Find the length of D.
Answer:
root 50
Step-by-step explanation:
Pythagorean theorem d is the hypotenuse
Answer:
5/2
Step-by-step explanation:
/50 if you do a2+b2=c2 and c=d
The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to travel 24 miles downstream, then what is the speed of the current? Brainly
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
Read the scenario and select the equations that model the situation.
Kim and Eduardo are selling fruit for a school fundraiser. Customers can buy small and large boxes of tangerines. Kim sold 12 small boxes of tangerines and 6 large boxes of tangerines for a total of $276. Eduardo sold 9 small boxes of tangerines and 11 large boxes of tangerines for a total of $337. Find the cost of one small box of tangerines and the cost of one large box of tangerines.
A) 9S + 11L = 276
B) S + L = 276
c)12S + 6L = 337
D) 12S + 6L = 276
F) 9S + 11L = 337
G) S - L = 337
Answer: D and F
Step-by-step explanation:
Nick and June win some money and share it in the ratio 5:3. Nick gets £26 more than June.
How much did June get?
Answer:
£39
Step-by-step explanation:
Nick and June wins some money and share in the ratio 5:3
The difference = 5-3
= 2
Since Nicki receives £26 and his shares is 2
= 26/2
= 13
Therefore June shares can be calculated as follows
= 3×13
= 39
Hence June shares is £39
Use the drop-down menu to complete the following sentence.
2/3 divided by 4/6 = ?
Answer:
277/10000
Step-by-step explanation:
A school supply kit costs x dollars. A sale offers a 20% discount on the kit.
Which expression shows how to find the cost, in dollars, of the kit after the discount?
A. 0.8x
B. 0.2x
C. 1.8x
D. 1.2x
The expression to show the cost in dollars of the kit after the discount is 0.8x.
How to use expression to find the cost of the kit?A school supply kit costs x dollars. A sale offers a 20% discount on the kit.
Therefore, the expression that shows how to find the cost in dollars of the kits after the discount.
Hence, the expression is as follows;
An algebraic expression consists of unknown variables, numbers and arithmetic operators like addition and subtraction.
Hence,
cost in dollars after discount = x - 20%x
cost in dollars after discount = x - 0.2x
cost in dollars after discount = 0.8x
learn more expression here: https://brainly.com/question/19673490
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Simplify each expression.
3x (1 – 3.0) + 3.2
Answer:
[tex]-6x+ 3.2[/tex]
Step-by-step explanation:
Given the expression
[tex]3x (1 -3) + 3.2[/tex]
step one: let us work on the terms inside the bracket
[tex]3x (-2) + 3.2[/tex]
Step two:
open the bracket
[tex]-6x+ 3.2[/tex]
Hence the simplified expression is
[tex]-6x+ 3.2[/tex]
Solve the inequality:
16 < -2(x + 4)
Answer:
x < -12
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
16 < -2(x + 4)
Step 2: Solve for x
Distribute -2: 16 < -2x - 8Add 8 to both sides: 24 < -2xDivide -2 on both sides: -12 > xRewrite: x < -12Here we see that any number x smaller than -12 would work as a solution to the inequality.
Round the following to the hundredth:
45.9563
Answer:
The answer rounded to the hundredth is 45.96.
Greatest common factor of 42,6,48
Answer : 6
Step-by-step explanation:
-9 +m=20
answer asap please!!
Answer:
29
Step-by-step explanation:
at 9 on both sides to get m alone
-9+m=20
+9. +9
m= 29
Answer:
I believe the answer is 29
If you get £1 in exchange for £1.17 euros then how many euros would you get from £280.
Answer:
327.6 Euros
Step-by-step explanation:
£1 is got in for exchange for 1.17 Euros
£280 is got in exchange for 1.17×280 Euros =327.6 Euros
Solve for x: 3/5 (x+2) = x-4
1) 8
2) 13
3) 15
4) 23
Answer:
2), or 13
Step-by-step explanation:
x = 26/2 = 13
Answer:
13 is the the value of x.
It took Mia 15 minutes to get ready this morning, it took Joina 720 seconds to get ready. Who took longer to get ready? By how many more seconds? 1 minute=60 seconds *
Your answer
Answer:
Mia took longer to get ready by 180 seconds.
Step-by-step explanation:
Answer:
Mia took longer than joina
Step-by-step explanation:
720 seconds in minutes is 12 minutes therefore 12 is quicker than 15 minutes by . 3 minutes in seconds it is 180 seconds
Nathan needed to get change for a dollar. Which coin amount is equal to 1.00
Answer:
4 Quarters. 10 dimes. 20 nickels. 100 pennies.
Step-by-step explanation:
I hope this helps! Please give me brainliest!
PLS HELP ASAP ILL GIVE BRAINLY
Answer:
It’s nonlinear because you can’t put x by itself
Step-by-step explanation:
Answer:
nonlinear
Step-by-step explanation:
The graph is a curve, not a straight line. So it represents a nonlinear function.
The average of four numbers is 90. If three of the numbers are 70 .85, and 95. what is the fourth number?
Answer: 80
Step-by-step explanation: established
please help it is my homework assignment. i'll give brainly and question will give you 20 points
1. Calculate each of the following:
1^3 +5^3 +3^3 = ?
16^3 +50^3 + 33^3 = ?
166^3 + 500^3 + 333^3 =?
1666^3 + 5000^3 + 3333^3 =?
??
What do you see? Can you state and prove a generalization of your observations?
A cinema manager is carrying out a survey.
Here is one of her questions with some response boxes.
How many times do you go to the cinema?
1
2
3
more than 5
a) Give one criticism of the question.
b) Give two criticisms of the response boxes.
+