the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
How do I Solve for 5x+2=180
The difference between total surface area and curved surface area of a hemisphere is 154 cm^2, find it's volume.
Answer:
Surface area of a sphere=4πr
2
=154cm
2
⇒4×
7
22
r
2
=154cm
2
⇒r
2
=
4
154
×
22
7
⇒r
2
=
4
49
⇒r=
4
49
∴r=
2
7
=3.5cm
Volume of the sphere=
3
4
πr
3
=
3
4
×
7
22
×(3.5)
3
=
21
88
×42.875=179.67cm
3
asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Answer:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Step-by-step explanation:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.
How many gallons of gas did Mr. Rao have in his tank before he filled it?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
gal
4.475 or 4 19/40 gallons
How?
12.65=253/20
253/20= 12 13/20
////////
I need a similar denominator of 12 13/20 and 17 1/8.
12 13/20×2/1= 12 26/40
17 1/8×5= 17 5/40
17 5/40-12 26/40= 4 19/40
Therefore,
the answer is 4 18/40 gals
Answer:
4 19/20
Step-by-step explanation:
17 1/8 - 12 13/20 = 4 19/20
Given: 3(7x-9)-19x=-15
Prove: x=6
Step-by-step explanation:
3(7x-9)-19x = -15
21x-27-19x = -15
2x-27 = -15
2x = -15+27
2x = 12
x = 6
prove x = 6
Substitute x=6 into the equation.
3(7(6)-9)-19(6) = -15
3(42-9)-114 = -15
3(33)-114 = -15
99-114 = -15
-15 = -15 True✓
y=-1,X+2y=9 solve by substitution show all work
Answer:
x = 11
Step-by-step explanation:
Substitute y = -1 into the equation.
x+2y = 9
; x+2(-1) = 9
x+(-2) = 9
x-2 = 9
x = 9+2
x = 11
Find the area of each figure
Answer:
18
Step-by-step explanation:
6*6/2
f(a)=2a+5
g(a)=a2-4
what is f(g(a))
A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5
Ratio: 2/23 : 1/x
x is $11.5
So 1 pound of jelly beans cost $11.5
3/17 : 1/x
x is 5.67
So 1 pound of almonds cost $5.67
Answer:
Jellybeans are $2.25 per pound
Almonds are $1.25 per pound
Step-by-step explanation:
Let x = jelly beans Let y = almonds
Equation 1
5x + 3y = 15
Equation 2
2x + 6y = 12
Multiply Equation 1 by negative 2 to give
-10x - 6y = -30
Add this to Equation 2 to eliminate y
-10x - 6y = -30 2x + 6y = 12
The y is eliminated leaving
-8x = -18
Divide both sides by negative 8 to give
x = 2.25
Substitute this value back into Equation 2 to solve for y
2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12
Subtract 4.50 from both sides of the equation to give
6y = 7.50
Divide both sides by 6 to solve for y
y = 7.50/6
y= 1.25
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
25
Step-by-step explanation:
20^2 + 15^ = c^2
400 + 225 = c^2
625 = c^2
25 = c
Answer: The length of the ladder is 25 feet.
What is the volume of the container
Answer:
1468 in
Step-by-step explanation:
1) Find volume of entire figure
10*10*15=1500
2) Find volume of small piece that is cut out
2*4*4=32
3) Subtract smaller number from bigger number
1500-32=1468
Answer:
1,468 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume = length * base * height
Volume = 10 * 10 *15
10 * 10 *15 = 1500
To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.
4 * 4 * 2 =32
1500-32 = 1468 in^3
HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?
Answer:
not proportional
Step-by-step explanation:
because if you multiply 480×40=19200 and 300×25=7500
it is not the same
The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.
The earnings of Sal in each hour will be given as,
⇒ $480 / 40
⇒ $12 each hour
The earnings of Lidia in each hour will be given as,
⇒ $300/ 25
⇒ $12 each hour
The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Find the area of this figure
Show work, please
Answer:
80 in2
Step-by-step explanation:
Here is my work shown in screeny
Luis tiene la mitad de la edad de Juan menos un año, Pedro tiene un tercio menos edad que Luis
Answer:
dude I would love to help but I don't speak taco bell I'm sorry :/
Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º
Answer:
i don't know sorry
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
Learn more about word problem to algebra here: https://brainly.com/question/21405634
What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail
Answer:
A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.
Step-by-step explanation:
i have linked 1 picture of a ratio table example
hope this helped
To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help
Answer:
5 pints is needed
Step-by-step explanation:
2 pints of white paint for pink
1 pint of red for pink
10 pints of white paint = 5 pints of red
6 less than one-third of a number m is y
Answer:
(m×1/3)-6=y
Step-by-step explanation:
Start with m as the unknown variable.Now multiple that by 1/3 to find that portion of m. (m×1/3)Lastly, subtract 6 and set the expression equal to y. (-6=y)Thus we get our final equation: (m×1/3)-6=yA sequence of numbers is shown below :
1 5 9 13 17
explain why 95 will not be a term in this sequence
Answer:
95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern
95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given sequence of numbers is,
1, 5, 9, 13, 17, .....
The first term of the given sequence a₁ =1,
From the given sequence, the common difference pair of two consecutive terms d = 4,
Let nth term of the sequence aₙ= 95,
By arithmetic sequence formula,
aₙ = a₁ + (n-1).d
Substitute the value of aₙ and d,
95 = 1 + (n-1).4
94 = (n-1). 4
(n-1) = 23.5
n = 24.5
The value of n can't be decimal, so 95 can't be a term of the given sequence.
To learn more about Arithmetic sequence on :
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38. In a certain school, 45% of the students are boys. 80% of the boys have brown hair while 50% of those with brown hair
are girls. What is the probability that a randomly selected girl does NOT have brown hair?
A) .19
B) .36
C) 55
D) .35
E) none of the above are correct
The probability that a randomly selected girl does not have brown hair is 34.54%.
Given that in a certain school, 45% of the students are boys, and 80% of the boys have brown hair while 50% of those with brown hair are girls, to determine what is the probability that a randomly selected girl does NOT have brown hair, the following calculation must be performed:
45 x 0.80 = 36% of the school are brown hair boys 36% of the school are brown hair girls 55 - 36 = 55 = 100 19 = X 19 x 100/55 = X 1900/55 = X 34.54 = X
Therefore, the probability that a randomly selected girl does not have brown hair is 34.54%.
Learn more about maths in https://brainly.com/question/25862092
Pls help! And USE QUADRATIC FORMULA
Answer:
the answer is A
Step-by-step explanation:
1. y=3x^2-2x-2
0=3x^×-2x-2
2. 3x^2-2x-2=0
[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]
3.
[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]
4.
[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]
5.
[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]
If Sally has 5 apples and Joe has 2 more apples than Sally but Joe gets robbed how many apples does Sally and Joe have all together
Answer:
Well, we need to know how many apples Joe was robbed of before we can finish the problem.
Pls answer only 16 and 19
Question 16:
[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.
That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]
[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]
[tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]
[tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]
So,
[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]
Compare coefficient
[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]
Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]
[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]
[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]
Ans: 8/5
Question 19:
[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]
Substitute x with -1
So,
[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]
Ans: -6
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
Which of the following does not describe slope? O A rate of change
O A proportional relationship
O A line
O Rise over run
Answer: Should be a line
Step-by-step explanation:
what is the right answer
giving out brainliest
Plzzzz help asap
This table shows input and output values for a linear function
f(х)
What is the positive difference of outputs for any two inputs that
are three values apart?
Enter your answer in the box.
Answer:
2
Step-by-step explanation:
From what I understand from the question,
you're looking for the difference between f(x) and f(x+4)
lets take the points f(-3) and f(1)
the difference is 0.5 - -1.5=2
−5/6e−2/3e=−24 solve for e
Answer:
-3e/2
Step-by-step explanation: