Answer:
e
Step-by-step explanation:
8. Each box in a set of decorative storage boxes is a cube.
a) The sides of the smallest box are 30% of the length of the sides of the largest
box. The volume of the largest box is 7784 cubic inches more than the
volume of the smallest box. Define one or more variables, and write an
equation that represents the situation.
b) What are the lengths of the sides of the largest and smallest boxes?
c) Two of the other boxes have a total volume of 2457 cubic inches. The length
of the sides of the smaller of these boxes is 75% of those of the larger box.
Write and solve an equation to find the lengths of the sides of the boxes.
Answer:
20 in and 6 in12 in and 9 inStep-by-step explanation:
a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.
Their volumes are:
x³ and (0.3x)³ = 0.027x³The difference in volumes:
x³ - 0.027x³ = 77840.973x³ = 7784x³ = 7784/0.973x³ = 8000x = ∛8000x = 20b) The sides are 20 in and 20*0.3 = 6 in
c) The other two boxes with sides x and 0.75x
Sum of the volumes:
x³ + (0.75x)³ = 2457x³ + 0.421875x³ = 24571.421875x³ = 2457x³ = 2457/1.421875x³ = 1728 x = ∛1728x = 12Sides of the boxes are 12 in and 12*0.75 = 9 in
Use the grid below to name the point at (4,3)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.
Hope it helps!
64+66-43x33/89x34/09=
Answer: -4293764
Step-by-step explanation:
Answer:69,78
Step-by-step explanation: 43*33=1,419
1,419/89=15,94
15,94*34=541,96
541,96/09=60,22
64+66=130
130-60.22=69,78
please help me what would the angle be subtracting them
Answer:
r=8
the angle measurement is 95.
Step-by-step explanation:
Well, those angles would be the same, so you set them equal to each other.
95=6r+47
then solve it.
6r=48
r=8
The perpendicular bisectors of triangle RST intersect at K. Find KR
Answer:
Step-by-step explanation:
Remark
The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.
If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)
So, let's go.
Givens
1/2 of ST = 1/2 32 = 16
12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.
Solution
KT^2 = 16^2 + 12^2
KT^2 = 256 + 144
KT^2 = 400
KT = sqrt(400)
KT = 20
RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.
make t the subject of the formula. s= 8t +5
Answer:
So I am assuming that you are wanting what a single t is. Well, here you go.
t=(s-5)/8
Step-by-step explanation:
8t=s-5
t=(s-5)/8
Hope this helps! ;)
the dataset below represents the heights of trees(in inches) 13, 82, 83, 95, 92, 98, 96. How many outliers are in this data set?
Answer:
3
Step-by-step explanation:
There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.
There is one outlier in the data. The value of outlier is 13.
What is an outlier?An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.
For the given situation,
The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.
Arrange them in ascending order,
⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]
Here, median = 95
So, first quartile Q₁ = 82
third quartile, Q₃ = 96
Interquartile range, IQR = Q₃ - Q₁
⇒ [tex]96-82[/tex]
⇒ [tex]14[/tex]
Now, [tex]IQR(1.5)=14(1.5)[/tex]
⇒ [tex]21[/tex]
Then, high value = Q₃+1.5 IQR
⇒ [tex]96+21[/tex]
⇒ [tex]117[/tex]
Low value = Q₁-1.5 IQR
⇒ [tex]82-21[/tex]
⇒ [tex]61[/tex]
From the data, the value of outlier should lie less than 61 and greater than 117.
Hence we can conclude that there is one outlier in the data. The value of outlier is 13.
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The RADIUS of the barrel is 9.5.
What is the circumference of the barrel?
Answer:
19
Step-by-step explanation:
D=2r
D = 2(9.5)
= 19
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly
6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?
Answer:
2 moves
Step-by-step explanation:
Area of B patios a.74.42. B.37.21. C.144
Length of side of patio A = 12 yards
Area of patio A which is a square :
[tex] =\tt side \times side[/tex]
[tex] =\tt 12 \times 12[/tex]
[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]
Thus, Area of patio A = 144 yards²
Length of side of patio B = 6.1 yards
Area of patio B which is a square :
[tex] =\tt side \times side[/tex]
[tex] = \tt6.1 \times 6.1[/tex]
[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]
Length of side of the second patio B = 6.1 yards
Area of this patio :
[tex] =\tt 6.1 \times 6.1[/tex]
[tex]\color{plum} = \tt37.21 \: yards[/tex]
Total area of Patio B :
= Area of first patio B + Area of second patio B
[tex] =\tt 37.21 + 37.21[/tex]
[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]
Thus :
▪︎Area of patio A = 144 yards²
▪︎Area of patio B = 74.42 yards²
▪︎Therefore, the correct option is (a) 74.42
Which equation is represented by the line
Answer:
First, we need to find the slope of this line.
Slope is defined as rise over run, or change in y over change in x. We find two points on this line, and see that the slope is -4.
Then, we find the y-intercept, which in this case is 0.
Using slope intercept form, our answer is y=-4x
Let me know if this helps!
Answer:
y=-4x
Step-by-step explanation:
so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0
explain what a variable is.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.
Step-by-step explanation:
in other words is like x,y,z or any other letters
Abox of cereal states that there are 81 calories in a
4-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
20.25 per cup because 81÷4= 20.25 then
1) read the label=81 per 4-cups
2) 20.25x4=82 calories
Step-by-step explanation:
hope this helps :D
what is the appoximate distance between T and U? round your answer to the nearest hundreth
Can someone help me?
Answer:
the transfer of energy ( I think)
Sound wave
Transverse wave
I'm sorry if I got it wrong...
50 to 60 as a fraction in simplest form
Answer:
5/6
Step-by-step explanation:
50/60 in simplest form is 5/6
You would divide both sides by 10
The simplified expression of the expression 50 to 60 is 5/6
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
50 to 60
Express as equation
50 to 60 = 50/60
Divide 50 by 60
So, we have the following representation
50 to 60 = 5/6
Using the above as a guide, we have the following:
The expression cannot be further simplified
Hence, the simplified expression is 5/6
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A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h
Answer:
d
Step-by-step explanation:
It is going at a steady rate of 30$ an hour
Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.
What is linear functions?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
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what is the simplest form of 874/942
Answer:
437/471
Step-by-step explanation:
would consider downloading photomath
1 What number is equivalent to the expanded form shown below?
A.203.043
B.203.403
C.230.430
D.230.403
Can someone help me with this
Answer
B
203.403
Cancel terms that are in both the numerator and denominator
( 2 1 0 0 ) + ( 3 1 ) + ( 4 1/1 0 ) + ( 3 1/1 0 0 0 )
( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )
Solution
( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )
8.88=-2.22(x-7)
what is x
Answer:
x=3Step-by-step explanation:
Let's solve your equation step-by-step.
8.88=−2.22(x−7)
Step 1: Simplify both sides of the equation.
8.88=−2.22(x−7)
8.88=(−2.22)(x)+(−2.22)(−7) (Distribute)
8.88=−2.22x+15.54
Step 2: Flip the equation.
−2.22x+15.54=8.88
Step 3: Subtract 15.54 from both sides.
−2.22x+15.54−15.54=8.88−15.54
−2.22x=−6.66
Step 4: Divide both sides by -2.22.
−2.22x /−2.22
=
−6.66 /−2.22
x=3
Adriana y Luisa fueron a la feria y decidieron subirse a la rueda de la fortuna. Si el diámetro de la rueda es de 8 metros, ¿Qué recorrido hicieron dando una vuelta completa? Considera Pi= 3.14
Answer:
Translation?
Step-by-step explanation:
Mike is recording his baby sister's weight in pounds and ounces each week. This week she weighs 10 pounds. How many ounces does she weigh?
Answer:
160 ounces
Step-by-step explanation:
In each pound, there are 16 ounces.
Therefore we can do 10*16=160
Answer: she weighs 160 ounces. just do 10x16
NEEEED HELP!!!!!!!!!
Answer:
1/3 is your awnser also what ur name in prodigy ill play with u im level 100
Step-by-step explanation:
Answer:
[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]
5.3=15
2.3=6
[tex] \frac{6}{15} + \frac{5}{15} [/tex]
someone please help i will mark you brainliest
f (x) = (x-1) (x+3)..........................................less the periods
what value of x makes the equation 6x - 10 = -10 true
a -3 1/3
b 0
c 5
d 8 1/3
Which sets of side lengths could from a triangle?
choose all that apply.
Answer:
E
Step-by-step explanation:
Answer:
d and e
Step-by-step explanation:
for them to be possible side lengths of a triangle the two shorter sides added together have to be greater than the longest side and an answer D and e 6 + 4 is greater than 9 and 5 + 5 is greater than 9 to so those are possible side lengths
When Mr. Day's family moved to town, the rented a house fo $215 a moth. The land lord recently increased the rent by $8.50 a month. What is the percent of increase in rent? Round to the nearest Hundredth of a percent.
If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min
Answer:
C)1 h 05 min
Step-by-step explanation:
If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min
The journey time is calculated as:
Arrival time - Departure time
= 04:50 - 03:45
= 01:05
Therefore, the journey time = 1 hr 05 minutes
Option C is correct
there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.
Answer:
Yes, Shelby is correct.
Step-by-step explanation:
Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.