The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:
[tex]\frac{6.4^{2}}{156} k = 800[/tex]
[tex]k=\frac{800.156}{96}[/tex]
k = 1300
For the similar beam:
[tex]\frac{8.7^{2}}{L}1300=1300[/tex]
L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
HELP ASAP !! please i need urgent help
Answer:
Apply the rule
xmn = n√xm
to rewrite the exponentiation as a radical.
√m8
Step-by-step explanation:
please mark me as brainlest
3/4x16/9????????????
Answer:
It would be 1.33333
Step-by-step explanation:
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answer:
The Answer Is True
Step-by-step explanation:
Function f is defined by the equation f(x)=x2
What is f(3)
Classify the triangle by its sides.
Answer:
It would be C
Step-by-step explanation:
This triangle has two equal sides and one side that is not equal to the other two, so it is an isosceles triangle.
Answer:
A
Explanation:
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Mark studied a group of 30 whales. If each whale weird approximately 3.8x10.5 pounds, find the total weight of all 30 whales. Express in Scientific notation.
Answer:
1.197 * 10^3 lbs
Step-by-step explanation:
3.8 * 10.5 = 39.9 lbs each
Now, we multiply 39.9 by 30, which is 1197 lbs in total
In scientific notation, 1197 is 1.197 * 10^3
I hope this helped, please mark Brainliest, thank you !!
Answer:
114 × 10 ^ 5
Step-by-step explanation:
30: Number of whales
380,000: weight of each whale
30 × 38,000 = 11,400,000 total weight
Scentific notation: Expressing large numbers in a smaller way so
114 × 10 exp 5
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents
Answer:
3 hair colorings and 4 hair cuts
Step-by-step explanation:
The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price.
Given that,
The charges of haircut= $15 and time taken for haircut is 30 minutes,
The charges of coloring= $30 and time taken for coloring is 2 hours.
To make minimum $150 profit in 8 hours
Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.
2×x×15+1/2×(8-x)×30≤150
30x-15x+120≤150
15x≤30
x≤2
So, x=2 hours(4 haircut),
then time for coloring = 8-2 = 6 hours (3 hair color)
And amount =4×15+3×30=150
So the time for haircut is 2 hours and for coloring is 6 hours.
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What is the eighth term of the arithmetic sequence? An=
10n – 14?
Answer:
A8 = 66 [8th term]
Step-by-step explanation:
Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)
To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.
So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.
The eighth term of the arithmetic sequence is 66.
Given that,
An = 10n - 14.Here we need to find out the eighth term of the arithmetic sequence.Here n = 8.Based on the above information, the calculation is as follows:
An = 10n - 14
= 10(8) - 14
= 80 - 14
= 66
Therefore we can conclude that the eighth term of the arithmetic sequence is 66.
Learn more: brainly.com/question/18109692
The fractions 1/4,1/2,3/12 and are shown below
Answer:
the first one
Step-by-step explanation:
The completely factored form of z^5 + 4z^4 - 12z^3
Answer:
−108z 5−64z 3+3z 2−24z−384/6
Step-by-step explanation:i just looked it up.
2) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
What is 43x12+3-2=______
Answer:
517
Step-by-step explanation:
Answer:
517
Step-by-step explanation:
43×12+3-2 = 516+3-2
Do the multiplication/division before the addition/subtraction
516+3-2 = 519-2
Work from left to right
519-2 = 517
At a concession stand seven hotdogs And four hamburgers cost $15 . Four hotdogs and seven hamburgers cost $18 . Find the cost of one hotdog in the cost of one hamburger.
Answer:
so hamburgers would be 2$ a peice
hotdogs wll be 1$ a peice
Step-by-step explanation:
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Brainliest to right answer
Answer:
the answer is A)no solutions
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
What decimal equivalent to 5/6
Answer:
0.83333333
Step-by-step explanation:
The 3 is repeating
Answer:
0.83333333...
Step-by-step explanation:
A square and a rectangle have the same perimeter. The length of the rectangle is
4 in. less than twice the side of the square, and the width of the rectangle is 6 in.
less than the side of the square.
Find the perimeter of the square.
Rectangle:
l = 4 inch
b = 6 inch
Perimeter = 2(l + b)
= 2(4 + 6)
= 2(10)
= 20 inch.
Given that,
The perimeter of the rectangle = The perimeter of the square
20 inch = The perimeter of the square
HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT
Answer:
b
Step-by-step explanation:
Answer:
The answer is C, 2/9
Step-by-step explanation:
Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9
Bri goes to the movies and buys three items that together sum to $11.50. Two of the items she
bought cost $3 each. Write an equation to express how much money Bri spent at the movies.
Answer:
the answer is $5.5
Step-by-step explanation:
Which inequality relates BC and XY?
Answer:
BC>XY
Step-by-step explanation:
BCs angle is less than XYs angle
Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true:
i). 4€C
ii). 5€C
iii). A=B
iv). B=C
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
[tex]A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}[/tex]
Lets look at the statements one by one.
i. 4∈C
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
ii. 5∈C
This statement is true as 5 is a member of C.
iii. A=B
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
iv. B=C
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
What number is a common factor of 54 and 66
Answer:
the common factor of 54 and 66 is 6
Step-by-step explanation:
Answer:
I think it would be 6.
Step-by-step explanation:
I googled it.
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154
Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
3 + 11x
Step-by-step explanation:
Nuestra ecuación será: 3 + 8x + 3x
No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x
Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!
Thomas decides on a destination for his vacation. If he takes the train there, it will take him 1/8 hours to get there. If he takes the plane, it will take him 2/3 hours. How many hours does the plane save?
Answer:
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
Step-by-step explanation:
To calculate the number of hours that the plane saves, you must make the difference between the number of hours that must travel by train and the hours that must travel by plane. This is:
[tex]5\frac{1}{8} - 2\frac{2}{3}[/tex]
A mixed fraction is the combination of a whole number and a fraction, as in this case. To subtract mixed numbers, one way to do it is, firstly, to convert both fractions into improper fractions, remembering that the procedure for this consists of multiplying the whole number by the denominator of the fraction, to which the numbered one must be added. of the fraction. This number will be the numerator of the new fraction.
In this case:
[tex]5\frac{1}{8}=\frac{5*8+1}{8} =\frac{41}{8}[/tex]
[tex]2\frac{2}{3}=\frac{2*3+2}{3} =\frac{8}{3}[/tex]
Then:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}[/tex]
Fractions have different denominators, so you need to find a common denominator in order to do the subtraction. A common denominator can be found by multiplying both denominators. Then you rewrite each fraction as an equivalent fraction with a denominator that is the common denominator. Finally you subtract the numerators and simplify the answer if necessary.
In this case:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}= \frac{123}{24} -\frac{64}{24} =\frac{123-64}{24} =\frac{59}{24}[/tex]
Now you write the answer as a mixed number. For that you divide 59 by 24 to obtain 2 with a remainder of 11, being able to express the number as:
[tex]\frac{59}{24} =2\frac{11}{24}[/tex]
So:
[tex]5\frac{1}{8} - 2\frac{2}{3}=2\frac{11}{24}[/tex]
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
Suppose a floor is going to be tiled with
square stone tiles that measure ½ foot on
each side. How many tiles are needed for a
rectangular floor that measures 14 ½ feet
long and 8 ½ feet wide?
Answer:
20 tiles
Step-by-step explanation:
2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __
What is the pattern?
Answer:
9, 14, 11, 17, 13, 20, 15
Step-by-step explanation:
so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)
that literally makes no sense aha