Answer:
volume of cuboid = 2h(l+b)
Step-by-step explanation:
since you are asking the method on how to do this I will just help you out with basic idea.
first,
convert mixed fractions into fractions before writing them in given.
eg:
GIiven,
width(b)= (7×2+1)/2 = 15/2= 7.5 in
then you can find out the length by doubling the width since the question has said the length is twice the width.
after that we can find out the height by subtracting (2×2+1)/2 = 5/2= 2.5 in from the length.
finally figure out the volume by using formula for volume of cuboid i.e 2h(l+b)
Select all expressions that are equal to
5
8
.
A.
1
8
+
1
8
+
1
8
+
1
8
+
1
8
B.
2
4
+
3
4
C.
1
8
+
2
8
+
3
8
D.
4
8
+
1
8
E.
4
7
+
1
1
Select all expressions that are equal to 5/8.
A. 1/8 + 1/8 + 1/8 + 1/8 + 1/8B. 2/4 + 3/4C. 1/8 + 2/8 + 3/8D. 4/8 + 1/8E. 4/7 + 1/1Solution:Let's review each option one by one.
Option A
1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 5/8=> (1 + 1 + 1 + 1 + 1)/8 = 5/8=> (5)/8 = 5/8 (True)Thus, Option A is correct.
Option B
2/4 + 3/4 = 5/8=> (2 + 3)/4 = 5/8=> 5/4 = 5/8 (False)Thus, Option B is incorrect.
Option C
1/8 + 2/8 + 3/8 = 5/8=> (1 + 2 + 3)/8 = 5/8=> 6/8 = 5/8 (False)Thus, Option C is incorrect.
Option D
4/8 + 1/8 = 5/8=> (4 + 1)/8 = 5/8=> 5/8 = 5/8 (True)Thus, Option D is correct.
Option E
4/7 + 1/1 = 5/8=> 4/7 + 7/7 = 5/8=> (4 + 7)/7 = 5/8=> 11/7 = 5/8 (False)Thus, Option E is incorrect.
Final Answer(s):Option A and D are correct.What is the answer ?5(y+2/5)=-13
Answer:
y=-3
Step-by-step explanation:
5(y+2/5)=-13
5y+2=-13
5y=-15
y=-3
5x+3=x+11
x=?
(step by step, I am very not smart)
Answer:
x=2
Step-by-step explanation:
5x+3=x+11
5(2)+3=2+11
10+3 = 2+11
13=13
Therefore, x=2
(basically you just plug in random numbers and see if it gets you the same answer on both sides)
Hope this helps!!
The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.
Please help, thank you!
Answer:
23, 25, 27
Step-by-step explanation:
n + (n+2) + (n+4) = 4n - 17
3n + 6 = 4n - 17
3n - 4n = -17 - 6
-n = -23
n = 23
therefore,
23, 25, 27 are the 3 consecutive odd integers
Find x in APQR.
R
х
5 P
12
a.
13
b. 15
d. 160
C.
16
Answer:
the answer is 16 okay it simple ok
A number cube is rolled and a coin is flipped. What is the probability that a number greater than 2 is rolled and the coin lands on heads?
Answer:
1/3
Step-by-step explanation:
The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2
You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.
Hope this helps!
Solve for X (simplify your answer)
Answer:
x is given as -1.5. Substitute to confirm
Which is the estimate of 398 x 1.9?
Answer:
800
Step-by-step explanation:
When we say estimate, we must estimate the 2 numbers to their closest answer:
398- 400 when rounded to the nearest 100
1.9- 2 when rounded to the nearest whole number
So we get the estimate equation as: 400×2= 800
Solution:
We know that:
[tex]\tex\text{398 can be rounded to 400, as 398 is close to 400.}[/tex][tex]\tex\text{1.9 can be rounded to 2, as 1.9 is close to 2.}[/tex]This means that:
[tex]398 \times 1.9[/tex] ≈ [tex]400 \times 2[/tex]Simplifying "400 x 2"
[tex]400 \times 2[/tex] [tex]= 800[/tex]Thus, the estimate of 398 x 1.9 is about 800.
Which polynomial is prime? x4 3x2 – x2 – 3 x4 – 3x2 – x2 3 3x2 x – 6x – 2 3x2 x – 6x 3.
The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.
Given polynomials are:
[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]
What are prime polynomials?A polynomial not having more than one factor is called a prime polynomial.
Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]
Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]
Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]
There are no factors of the fourth polynomial so this is a prime polynomial.
Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.
To get more about the polynomial visit:
https://brainly.com/question/2833285
PLEASE HELP FAST!!♡
For f(x) = -x+2 and g(x) = x + 4, find f(x) = g(x).
Answer: x=-1
Step-by-step explanation:
4s^3 when s=2
plsss help
Answer:
32
Step-by-step explanation:
=> 4s[tex]{}^{3} [/tex]
=> 4(2)[tex]{}^{3} [/tex]
=> 4(2×2×2)
=> 4(8)
=> 32
Please answer this friends ?
Answer: Rs. 6075
40500×(15/100)= 6075
Step-by-step explanation:
help me pls i need help
Answer:
8
Step-by-step explanation:
Tyshaun buys music online. Each song costs $2 plus a $5 fee for using the artist’s site. He has no more than $40 to spend. Which inequality shows the number of songs, s, Tyshaun can purchase?
Answer:
I dont see options, but the answer should be: X(2+5)≤40
Step-by-step explanation:
I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
no calculator or Excel sheet ?
(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25
((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8
(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6
(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27
(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4
remember 2 things :
1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).
2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.
a / 1/b = a × b/1 = a × b
What is the rule that describes the following number pattern
0,25;2,5;25;250
Answer:
aₙ=0.25*10ⁿ.
Step-by-step explanation:
0.25*10=2.5; 2.5*10=25; 25*10=250.., then it can be written as aₙ=0.25*10ⁿ
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
½+⅛ = ⁴/8 + ⅛ = ⅝
bold one's are answer.
hope this helps you.
Find the slope of the line that passes through the following points: (1,0)
and (6,-3). (Show your work.)
Answer
-3/5
Step-by-step explanation:
to find this you have to use the equation y1 - y2 / x1 - x2
so first write -3 - 0 (or 0 - - 3) over 6 - 1
it looks like -3/5
is 14.624777961 rational or irrational
Step-by-step explanation:
Rational number because it's terminating
How do i figure out the degrees?
Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
__
Additional comment
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.
Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46℅ of his collection. How many books does he have in his collection?
-- pls explain!!!
Answer:
46% of 115 gives 52.9 because it is the total of books that is not given
Macy's department store just had a huge sale and now needs to increase the price of all retail by 13%. What will be the price of the shirt after the markup?
(the shirt costs $42.00)
Answer:
47.46 dollars
Step-by-step explanation:
If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.
1. Solve the following inequality on your own paper and select the best answer below.
Answer:
C. y≥2
Step-by-step explanation:
y+5≥7
You must subtract 5 from both sides
y≥7-5
y≥2
2-1/2x=y what is this in slope intercept form
Answer:
y=-1/2x+2
Step-by-step explanation:
2-1/2x=y
y=2-1/2x
y=-1/2x+2
For a new hobby, Leo purchases a vintage camera for $475. Leo pays $5.99 for each roll he gets developed. Calculate how much Leo’s new hobby is costing him based on the number of film rolls he needs to develop.
Answer:
A = 5.99x + 475
Step-by-step explanation:
In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.
please help in math!!! i need help in both (a) and (b) !! brainliest to who answers both!!
Part A
Answers:
Number of terms = 2Type = BinomialVariables = p and qNumerical coefficients = 4 and 7Degree = 3-------------------------
Explanation:
The two terms are separated by a plus sign. Since we have two terms, we have a binomial.
bi = 2nomial = names or termsThe variables are p and q, acting as placeholders for unknown numbers.
The coefficients are the numbers to the left of the variables, which are the 4 and 7.
The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.
==============================================
Part B
Answer: t^3 - 20t + 26
-------------------------
Explanation:
We have an expression of the form
(6t^3-3t+5) - x = (5t^3 + 17t - 21)
which rearranges to
-x = (5t^3 + 17t - 21) - (6t^3-3t+5)
-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5
-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)
-x = -t^3 + 20t - 26
x = -(-t^3 + 20t - 26)
x = t^3 - 20t + 26
A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41. 4 square centimeters. What is the length of the longer side of the rectangle?Use 3. 14 for π. Enter your answer as decimal in the box
The length of the longer side of the rectangle is 8.78cm
Area of composite figureThe formula for calculating the area of a rectangle is expressed as:
A = lw
For a semicircle;
A = πr²/2
r is the radius
Area of the figure = lw + πr²/2
Substitute the given paramters
41.4 = 4w + π(2)²/2
41.4 = 4w + 6.28
4w = 41.4 - 6.28
4w = 35.12
w = 35.12/4
w= 8.78 cm
Hence the length of the longer side of the rectangle is 8.78cm
Learn more on area of composite figure here: https://brainly.com/question/21135654
A trapezoid has 19 inches base, as well as 10.8 inches height. What is the area?
The local shelfer
d of their dogs and cats in
preparation for the holidays. The sale
was $ 100 for a dog and $15 for a
cat. If the shelter earned $1,390 for
seling dl 19 of their animds, how many
dogs and cats were adopted?
d + c = 19
100d + 15c = 1390
we can simplify the second equation
20d + 3c = 278
now d + c = 19
c = 19 - d
3c = 57 - 3d
now plug into second equation
20d + 57 - 3d = 278
17d = 278 - 57
17d = 221
d = 221 / 17
d = 13
now we can plug this into the first equation
13 + c = 19
c = 19 - 13
c = 6
13 dogs were sold and 6 cats were sold
Please help me do to night
Answer:
1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48
Step-by-step explanation:
10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y
10(-0.4(3)+3(2))
10(-0.4(3))+10(3(2))
10(-1.2)+10(6)
-12+60
= 48