The number of times the larger box is bigger than the smaller box is 5.
How many times larger is the larger box?The first step is to determine the volume of both boxes.
Volume = length x width x height
Volume of the larger box = 2 x 2 1/2 x 2 = 10ft³
Volume of the smaller box = 2 x 1 x 1 = 2 ft³
Now divide the Volume of the larger box by the volume of the smaller box : 10 / 2 = 5
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Please help I will give brainliest.
Answer:
Multiply the numbers then Add on both sides then simplify
Step-by-step explanation:
What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
The total length of the trip is the number of miles in the trip
The total length of the trip is 974 miles
How to determine the total length?The given parameters are:
Proportion of sleep = 21%Distance awake = 711 milesIf Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip
Represent the total length of the trip with T.
So, we have:
73% * T = 711 miles
Divide both sides by 73%
T = 974 miles
Hence, the total length of the trip is 974 miles
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what are factors of the expression [tex]x^{2}[/tex]+x 20?
Answer:
Step-by-step explanation:
answer: (x-4)(x+5)
x^2 + x - 20
x^2 + 5x -4x -20
x^2 + 5x - 4x - 20
x(x+5) -4 (x+5)
x(x+5)-4(x+5)
(x-4)(x+5)
12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?
Answer:
2/5
Step-by-step explanation:
Information we need to solve
Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookiesProbaility
No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5State the domain and range and determine if it's a function?
if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.
Rangewell, is really how high and low it goes or namely over the y-axis.
well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be
[3 , +∞)Domainwell, is simply how left and right it goes or namely over the x-axis.
judging from the arrowheads it moves from infinity to infinity, so
(-∞ , +∞).HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-3,8)
step by step explanation:
y=-4/3 +4
x=-3
put in x value in first Problem
y=-4/3(-3) +4
solve
y= 12/3+4
y=4+4
y=8
we already know what x is so
x= -3, y=8
(-3,8)
hope this helps
Solve each system by graphing. Y=x-4 and y=-x
Check the picture below.
Need it ASAP PLEASE HELP!!!!
Answer:
25π + 30m which is approx. 108.54m
Step-by-step explanation:
First, we can work out the angle of the middle of the playground. 360 - 60 = 300°
Next, we can find out the arc length of the playground using the formula:
θ/360 × πd → 300/360 × 30π = 25π
Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m
Hope this helps!
An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
What is the Volume of a Sphere?Volume of sphere = 4/3πr³
The orange and the grapefruit are spherical in shape. Therefore:
Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³
Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³
Difference in volume = 33.51 - 14.14 = 19.37
Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
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what’s the lengths of the sides using pythagoras
Answer:
height and the base your take height you square it then you square the base then you -
Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?
Answer:
6.38%
Step-by-step explanation:
To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.
So we get this sort of image:
Total = Original Cost x (1 + %tax)
Now we can start putting the numbers from the question into this equation.
So we know the total:
27.50 = Original Cost x (1+%tax)
We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)
27.50 = 25.85 x (1+%tax)
Now we can start solving for "%tax".
(27.50/25.85) = 1 + %tax
1.0638 = 1 +%tax
1.0638 - 1 = %tax
0.0638 = %tax
6.38% = tax
The sales tax is 6.38%.
If I watched anime for 1 hour a day, every episode being 20 minutes long, and there is 1016 episodes, how meant days would it take to watch the entire anime series?
Answer:
20320 minutes
Step-by-step explanation:
divided the minutes by 24 then get your answer
Complete the table below. Show all your work.
simplify and expand 5(m+2) -3(m-2)
thank you
Answer:
2(m+8)
Step-by-step explanation:
5(m+2) -3(m-2)
= 5m+10-3m+6
= 2m+16
= 2(m+8)
Answer:
2m +16Step-by-step explanation:
[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?
======================================================
Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
Answer:
A.12x2 −6; 21 inches
Step-by-step explanation:
The perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
Perimeter of a triangleThe perimeter of a triangle is the sum of all its sides as shown
P = s1 + s2 + s3
Given the following
s1 = 4x^2 - 3
s2 =4x^2 - 2
s3 = 4x^2 - 1
x = 1.5
Take the sum of the sides
P = 12x^2 - 6
Substitute x = 1.5
P = 12(1.5)^2 - 6
P = 21 inches
Hence the perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
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help help help help help
Answer: 10
Step-by-step explanation:
We can get this is a right triangle with a hypotenuse of c and legs equal to the height and radius.
So, the hypotenuse is c and the legs are 6 and 8.
This means that c=10
Work out m and c for the line:
y=6 - 2
Answer:
Step-by-step explanation:
y=Mx+c
M=6 c=-2
Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.
Answer:
When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.
Step-by-step explanation:
help please A.) runner a
b.) runner b
C.) runner c
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ .━━━━━━━†━━━━━━━━━.・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]
x/4+<2/7 I need help i'm stuck
Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
Anyone know this or how to work this out
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
How to find the sum of terms using Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
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I need help desperately lol
Answer:
Step-by-step explanation:
First find the shaded area. Ignore the fact that something is missing.
L = 16
w = 8
Area = L*w Substitute the givens
Area = 16*8
Area = 128
Now consider the white area. It has a "length" of 4 and a width of 8
L = 4
w = 8
Area = 32
Now subtract 32 from 128
Area of shaded part = 128 - 32
Answer: 96 mm^2
How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.
Answer:
1 min- 60 secs
2 mins- 120 secs
3 mins- 180 secs
Step-by-step explanation:
If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.
1x60=60
2x60=120
3x60=180