Step-by-step explanation:
2 gallons = 2× 16 = 32 cups
2 gallons = 2 × 128 = 256 fluid ounces
In 32 cups the class aquarium holds 2 gallons of water.
In 256 ounces the class aquarium holds 2 gallons of water.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other.
In other words, the proportion states the equality of the two fractions or the ratios.
The class aquarium holds 2 gallons of water.
1 gallon = 16 Cups
The class aquarium holds 2 gallons of water in the number of cups is;
2 gallons = 2× 16 = 32 cups
In 32 cups the class aquarium holds 2 gallons of water.
The class aquarium holds 2 gallons of water in the fluid ounces is;
1 gallons = 128 ounces
2 gallons = 2 × 128 = 256 fluid ounces
In 256 ounces the class aquarium holds 2 gallons of water.
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1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *
Answer:
1)
[tex]808.48 \: cubic \: meter[/tex]
2)
[tex]104 \: shiling[/tex]
3)
[tex]14cm[/tex]
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter
The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the numbers?
Answer:
The first number is 16
The second number is 6
The third number is 64
Step-by-step explanation:
The information from the word problem are;
The count of the numbers in the sum = 3 numbers
The value of the sum of the three numbers = 86
The value of the third number = 4 × The value of the first number
The value of the first number = 10 + The value of the second
Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;
x + y + z = 86...(1)
z = 4 × x...(2)
x = y + 10...(3)
From equation (3), we get;
x = y + 10
∴ y = x - 10...(4)
Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;
x + y + z = 86
z = 4 × x = 4·x
y = x - 10
∴ x + y + z = x + (x - 10) + 4·x = 86
x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86
6·x = 86 + 10 = 96
∴ x = 96/6 = 16
x = 16
From equation (2), we get;
z = 4 × x
∴ z = 4 × 16 = 64
z = 64
From equation (4), we get
y = x - 10
∴ y = 16 - 10 = 6
y = 6
Therefore; x = 16, y = 6, and z = 64
The numbers are 16, 6, and 64
Is anyone free to help me? It's a picture .
Answer:
1. 8 units downwards and 2 units left
2.7 units right and 4 units upwards
3. 5 units right and 4 units downwards
Step-by-step explanation:
That how it goes
6/h −1= −3 again.......
Answer:
ℎ = −3
Step-by-step explanation:
6
ℎ
−
1
=
−
3
\frac{6}{h}-1=-3
h6−1=−3
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
2
Combine fractions with common denominator
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
3
Re-order terms so constants are on the left
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
6
−
ℎ
ℎ
=
−3
Helpppp with this math
9514 1404 393
Answer:
x = 8 1/3
Step-by-step explanation:
Put the known values into the equation and solve for x.
f(x) = 3x -1
24 = 3x -1 . . . . . use 24 for f(x)
25 = 3x . . . . . . . add 1 to both sides
25/3 = x . . . . . . divide both sides by 3
The input is x = 8 1/3.
It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!
Answer:
37.5 minutes
Step-by-step explanation:
45+30=75
=75 =37.5
2
This might help you!!!!
write 17.275102 correct to 3 decimal places
Step-by-step explanation:
17.275 3 decimal plalcesl
For the following system, use the second equation to make a substitution for x in the first equation.
3x + 2y = 7
x - y + 3 = 0
What is the resulting equation?
Step-by-step explanation:
x value is 0.2
y value is 3.2
Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.
Step-by-step explanation:
please see my work as attached
xy to the power of -4
show as positive exponent
explain
Answer:
[tex]\frac{1}{(xy)^4}[/tex]
Step-by-step explanation:
*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."
Recall the following exponent property:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52
Answer: D. 3x +28 > 52
Step-by-step explanation:
Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:
With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.
Therefore, (3 × x) + 28 > 52
= 3x + 28 > 52.
We can calculate further
3x > 52 - 28
3x > 24
x > 24/3
x > 8
Therefore, 9 or more bracelets needs to be sold since x is greater than 8.
Therefore, the correct option is D 3x +28 > 52
Answer:
D. 3x + 28 > 52
Step-by-step explanation:
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
6. Is this a relation? Is this a function? Why or why not?
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
Please fill the blanks
Answer:
First box
8pi-(7pi/4)= pi/4
Second Box:
Tan 7pi/4= 0.09625006863
Step-by-step explanation:
Which is the graph of y – 3 =-2/3 (x + 6)?
Answer:
see graph below
Please help I’ll give brainliest
Answer:
- a + 18bStep-by-step explanation:
2(a + 6b) - 3(a - 2b)
= 2a + 12b - 3a + 6b
= 2a - 3a + 12b + 6b
= - a + 18b (Ans)
Answer:
-a + 18b
Step-by-step explanation:
2(a + 6b) - 3(a - 2b)
Distribute the 2
2a + 12b - 3(a - 2b)
Distribute the 3
2a + 12b - 3a + 6b
Combine like terms
-a + 18b
Need help with this
How many mLs are in 1300mG
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answer:
(6-3)=3..............................
what is the vaule (x + y)(x + y)
Answer:
x^2+2xy+y^2
Step-by-step explanation:
(x + y)(x + y)
FOIL
first x*x = x^2
Outer x*y = xy
inner: y*x = xy
last y*y = y^2
add together
x^2+xy+xy+y^2
Combine like terms
x^2+2xy+y^2
Answer:
[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Step-by-step explanation:
(x + y)(x + y)
= (x + y)(x + y)
=(x)(x) + (x)(y) + (y)(x) + (y)(y)
= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]
= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Hope this helps, please mark brainliest. :)
please help!!! i’ll give brainliest.
no links
do not comment random things
i need asap!!
ill give as many points as i can
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
Heather has a weighted coin that has a 60%, percent chance of landing on heads each time it is flipped.
Probability of getting tails when weighted coin is flipped is 2/5
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n' outcomes, the number of favorable outcomes can be denoted by x.
The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.
Given,
Chance of getting heads on the weighted coin = 60%
Probability of getting heads = 60/100
Probability of getting heads = 3/5
Probability of getting tails = 1 - 3/5
Probability of getting tails = 2/5
Hence, 2/5 is the probability of getting tails on flipping the weighted coin.
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Can someone help me with this.
:)
If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12
Answer:
f(x)=x² , g(x)= x+1. f(g(2))?
g(2)
2+1=3
g(2)=3
f(3)
3²=9
f(3)=9
the answer is 9
Answer:
9
Step-by-step explanation:
To find (f ￮ g)(2) , evaluate g(2) then substitute the value obtained into f(x)
g(2) = 2 + 1 = 3 , then
f(3) = 3² = 9
Write the equations of two lines passing through (4,8)
Answer:
Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28
Step-by-step explanation:
The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;
m = The slope of the line
c = The y-intercept
Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;
Fot the given point, the x-value = 4, and the y-value = 8, we get;
8 = m₁·4 + c₁...Line 1 and
8 = m₂·4 + c₂...Line 2
m₁ ≠ m₂
If we set m₁ = 3, for line 1, we get;
8 = 3 × 4 + c₁ = 8 = 12 + c₁
∴ c₁ = 8 - 12 = -4
c₁ = -4
The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;
y = 3·x - 4
The equation for Line 2 where m₂ = -5 for example, we have;
8 = -5 × 4 + c₂
∴ c₂ = 8 + 5 × 4 = 28
c₂ = 28
The general form for the equation for Line 2 becomes;
y = -5·x + 28
Therefore;
The equation of the two formed lines that pass through the point (4, 8) are;
y = 3·x - 4 and y = -5·x + 28
PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD
Answer:
A. Segment AB congruent segment CD
C. Segment AD congruent segment BC
Step-by-step explanation:
These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.
Help plz this is really hard for me
Answer:
Improper fraction: 13/10
Mixed number: 1 3/10
Decimal: 1.3
Step-by-step explanation:
Find common denominator: which is 30
Make each denominator equal 30, affecting the whole fraction:
6•2/15•2 + 3•3/10•3 + 3•6/5•6 =
12/30 + 9/30 + 18/30 = 39/30
Simplify: 39/30, divide both by 3: 13/10
And there is our answer!
Hope this helps, good luck! :D
Answer:
39/30
Step-by-step explanation: