Step-by-step explanation:
we need to see how many cubes fit into every dimension.
we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.
we can fit 15 cubes along the 3 3/4 in length :
3 3/4 = 12/4 + 3/4 = 15/4
15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15
we can put 6 cubes on top of each other fit the height of 1 1/2 in
1 1/2 = 2/2 + 1/2 = 3/2 = 6/4
6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).
so, we have
4 × 15 × 6 = 360
we need 360 cubes to fill the box.
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answer:
600 in the 8% interest and 2400 in the 3% interest.
Step-by-step explanation:
600 + 8% = 48
2400 + 3% = 72
72 + 48 =120
The number of gold fish that can live in a small tank is at most 6.
Let g be the number of goldfish that can live in the tank.
Which inequality represents this situation?
g<6 g≥6 g>6 g≤6
Answer:
g≤6
Step-by-step explanation:
g≤6 inequality represents the given situation of at most.
What is inequality?" Inequality means an algebraic expression which represents the relation between two situation or values with the sign of > , < , ≥, ≤."
Term used
At most means 'less than to equals to' ( ≤ )
According to the question,
Given'
'g' represents the number of gold fish live in the tank
As per condition of inequality given,
Number of gold fish can live in small tank at most 6
Represent as the term used we get,
Inequality is
g ≤ 6
Hence, g≤6 inequality represents the given situation of at most.
Learn more about inequality here
https://brainly.com/question/20383699
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Sammy's rabbit can eat 70 pounds of food in 80 days. Part A: At that same rate, how much food will Sammy need to feed his rabbit in 24 days? Part B: How long will it take his rabbit to eat 87.5 pounds of food? Part C: Suppose Sammy buys his rabbit a companion. Together, the rabbits need can eat 95 pounds of food in 65 days. Approximately how much food will Sammy need to buy in order to feed both rabbits inl year ( 365 daya)? Round to the nearest tenth.
Part A
The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.
24*0.875 = 21
Answer: 21 pounds of food=========================================================
Part B
x = number of days
The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.
0.875x = 87.5
x = (87.5)/(0.875)
x = 100
Answer: 100 days=========================================================
Part C
This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.
Instead, I'll use a proportion to solve.
(95 pounds)/(65 days) = (x pounds)/(365 days)
95/65 = x/365
95*365 = 65*x
34675 = 65x
65x = 34675
x = 34675/65
x = 533.461538
x = 533.5
Answer: 533.5 pounds of foodTomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
2 1/12 divided 2 5/8 fractions
Answer: 50/63 or 0.793650
Step-by-step explanation:
Please look at picture for question.
Answer:
A 1.5
B -1/3
C -4/3
Step-by-step explanation:
I solved this by remembering...
numbers above 0 are positive
-1/3 is greater than -1
-4/3 means -1 AND 1/3 so this is less than -1
A = 1.5 (+ve value, upwards)
B = -1/3 (-ve value, downwards)
C = -4/3 (-ve value, downwards)
A = 1.5 (lies in between +1 & +2)
B = -1/3 (-0.33 lies in between 0 & -1)
C = -4/3 (-1.33 lies in between -1 & -2)
See the attached picture for more details.
______
Hope it helps ⚜
consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
What is the area of the rhombus? 10 km 7 km
Answer:
A=pq
2
Step-by-step explanation:
A=35
Answer:
70KM
Step-by-step explanation:
AREA MEANS MULTIPLY SO 10X7=70
1) Solve for x (11 - 2*) 7 = 21
ok done. Thank to me :>
name a ray with endpoint u
i don't know hindi ko po alam
a and b
alam ko
simplify (6)/(\sqrt(3))
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
What is -6(-3+5r)=-5-7r
Answer:
r = 1
Step-by-step explanation:
Use the distributive property to multiply −6 by −3+5r.
18−30r=−5−7r
Add 7r to both sides.
18−30r+7r=−5
Add −30r and 7r to get −23r.
18−23r=−5
Subtract 18 from both sides.
−23r=−5−18
Subtract 18 from −5 to get −23.
−23r=−23
Divide both sides by −23.
r=−23/−23
Divide −23 by −23 to get 1.
r=1
Pls help Don’t put the answers in files thank you
Answer:
hmmm
Step-by-step explanation:
hmmm
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
What type of angle of this?
Answer:
angle x is equal to 60º so its an acute angle
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these
180-120=60
Standard form question
Answer:
1.64×10^7 km
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse of this right triangle.
QR² = PQ² +PR²
Expressing the given distances as multiples of 10^7 km, we have ...
QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896
QR = √2.6896 = 1.64
The shortest distance between planets Q and R is 1.64×10^7 km.
Someone help me it’s number 12
You need to find the x value
2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?
Answer:
20
Step-by-step explanation:
Knowing that it is a 30-gallon bathtub.
And it fills at a rate of 3 gallons per minute.
But also drains 1.5 gallons per minute.
So this is for the first minute.
3 - 1.5 = 1.5
So there will be 1.5 gallons of water in the tub after the first minute.
Now do,
30 ÷ 1.5 = 20
It will take 20 full minutes for the bathtub to fill up.
Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.
5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?
6) How much will Nick have paid total for the house for the 30-year fixed mortgage?
7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?
8) How much will he have paid total for the house if he does a 15-year mortgage?
Answer:
this is hard too
Step-by-step explanation:
WILLL MARK BRANILIEST
11 1/12
you have to make the bottom number the same so its 4/12+9/12 which makes 11 1/12
SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.
Answer:
158.4
Step-by-step explanation:
how long did it take for Car A to travel 10 meters
Answer:
isnt it 5 seconds?
its quite blurry but i think its 5
It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.
Help with algebra class please
Answer:
t=6.8
Step-by-step explanation:
t=2.01[squareroot(L)]
L=11.56
t=2.01[squareroot(11.56)]
t=2.01(3.4)
t=6.834
(round to nearest tenth)
t=6.8
The table shows the relationship between r and s, where s is the independent variable.
Which equation represents the relationship between r and s?
Answer:
burrito
Step-by-step explanation:
burrito
3 2/3 + 2.3 =
5
5 2/3
6
6 1/3
2.3 is the same as 2 1/3 is the same as 7/3
3 2/3 is the same as 11/3
11/3+7/3=18/3
18/3=6
Answer:6
The total length of 3 pipes is 24 inches. The middle-sized pipe is 6 inches longer than the smallest. The largest is twice as long as the smallest. How long is the middle-sized pipe?
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
The sum of three consecutive even numbers is 36. What is the smallest numbers ?
Answer:
The numbers are 11,12,13
The smallest number is 11
Step-by-step explanation:
Let the first number be x
The next number is x+1
The third number is x+2
x+x+1+x+2 = 36
Combine like terms
3x+3 = 36
Subtract 3 from each side
3x+3-3 = 36-3
3x=33
Divide each side by 3
3x/3 = 33/3
x=11
The numbers are 11,12,13
The smallest number is 11
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation: