Answer:
Step by step answers are key,... and they're below,... ;->
Step-by-step explanation:
This is your equation:
[tex]5 \frac{6}{30} + 1\frac{3}{4}[/tex]
Make both fractions improper fractions (this makes them easier to work with) All you did to convert your two mixed number into improper fractions is:
Multiply the denominator (the bottom number in a fraction in this case 30) by the number not in the fraction (5), 30x5=150 and then add the product (150) to the numerator (the top number in a fraction (which in this case is 6))
[tex]5\frac{6}{30} = \frac{156}{30}[/tex]
Do the same to the other mixed number (turning it into a improper fraction), Multiply the 4x1=4, add the product to the numerator 4+3=7 and then you have your second improper fraction
[tex]1\frac{3}{4} = \frac{7}{4}[/tex]
Your new equation:
[tex]\frac{156}{30} +\frac{7}{4}[/tex]
Now you need to get both denominators the same so you can add the together,... the easiest way to do this is to multiply the two denominators together,... 30x4=120
[tex]\frac{x}{120} + \frac{x}{120}[/tex]
But how do we know what the numerator are to be? What you have to do is the following,... you had to multiply 30 by 4 to get to 120, so you have to multiply the 156 by 4 to make an equivilant fraction,... 156x4=624
[tex]5\frac{6}{30} = \frac{156}{30} = \frac{624}{120}[/tex]
Like wise you had to multiply 4 by 30 to get to 120 so you have to multiply the numerator by 30 to make the fraction hold the same value,... 7x30=210
[tex]1\frac{3}{4} = \frac{7}{4} =\frac{210}{120}[/tex]
Now all that is left is to add:
[tex]\frac{624}{120} +\frac{210}{120} =\frac{834}{120}[/tex]
The answer is 835/120 simplify is or 6 19/20 or 6.95
Hope that was explination enough,... and have a SUPER-EXTRA-ORDINARILY-AMAZINGLY-AWESOME day,...
Chow,...!
Algebra 1 please help
Help in 5-14 plz I need this in the worst way
Answer:
Rational
Step-by-step explanationRational interger:
if x=a and x=b for the solution of x^2-3=2x and a<b what is b-a
9514 1404 393
Answer:
4
Step-by-step explanation:
Written in standard form, the quadratic is ...
x^2 -2x -3 = 0
This can be factored as ...
(x -3)(x +1) = 0
so the solutions are ...
x = 3, x = -1 . . . . . . values of x that make the factors zero
The difference of interest is ...
3 -(-1) = 4
Need Help!!!!!!!!!!!!!!Find the outer perimeter of this figure. Round your answer to the nearest hundredth.
Answer:
The perimeter of the figure is 14.71 ft
Step-by-step explanation:
The outer perimeter of the figure is the sum of the boundary dimensions.
The missing outer dimension is the length of the arc or half circumference.
Length of arc formula/half circumference = 1/2 πr = 1/2 x 3.14 x 3 ft = 4.71 ft
The other dimensions are 5ft and 5ft.
Therefore, the outer perimeter of the figure is:
4.71 ft + 5 ft + 5 ft = 14.71 ft
The relationship between adult dog weight X in pounds and the daily recommended amount of dog food Y in cups is proportional.
Write an equation for the relationship. How much dog food is recommended for a 25 pound adult dog?
please help me
no links or files
thank you !
The 5/12 cups of dog food are recommended for a 25-pound adult dog
Step-by-step explanation:
Given:
The relationship between the weight of the adult dog (X) and the amount of dog food in cups (Y) is proportional.
To find:
Dog food for the 25-pound adult dog
Solution:
The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.
[tex]X\propto Y\\\text{The equation for the relationship will be given as :}\\X=kY\\k=\frac{X}{Y}= Constant[/tex]
From the table given, we can calculate the value of the constant k.
[tex]k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{1\frac{2}{3}}\\k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{\frac{5}{3}}\\k=\frac{60}{1}=\frac{40\times 3}{2}=\frac{50\times 6}{50}=\frac{100\times 3}{5}\\k=60[/tex]
Let the dog food recommended for the 25-pound adult dog be y.
Weight of the dog = x = 25 pounds
Cups of dog food recommended = y
k = 60
Using the equation for the given relationship:
[tex]25=60\times y\\y=\frac{25}{60}=\frac{5}{12}[/tex]
The 5/12 cups of dog food are recommended for a 25-pound adult dog.
Learn more about direct proportion here:
brainly.com/question/1791656
brainly.com/question/1266676
Ap Stats can someone please explain how I can solve and answer this.
Answer:
just substitute x for 5 and then solve and then substitute x for -1 and solve and subtract the two answers you get
decrease 54 litres in the ratio 5:1
Answer:
divide 54
Step-by-step explanation:
your answer will be 5:1
Write the correct inequality sign (< or >) that belongs between the two
values.
15/3 _____ Square root of 30
HELP IT DUE TODAY
Answer:
15 divided by 3 = 5
Square root of 30 = somewhere around 5
5 = 5
Step-by-step explanation:
It's equal too.
Help me ASAP giving all good reviews
Answer:
34 people. (extremely sorry if this is wrong! please tell me if it is.)
Step-by-step explanation:
197 people were in the survey. First we can subtract 57 from 197 because 57 people dont like cats or dogs.
197-57 = 140
and to find the number of people that chose cats but not dogs, we subtract 106 from 140 which leaves us with 34 people.
Show that |3| + |10| = |3| + |10|
Answer:
/10/=/-10/=10 ; /3/=/-3/=3
=> /3/+/10/=/3/+/10/=3+10=13
Step-by-step explanation:
the largest 4 digit number which is a perfect cube is (a) 92000, (b)9261, (c)9000, (d)9259
Answer:
(Note:92000 is a five digit number, so it cannot be the answer)
b) 9261
It is the cube of 21(largest among the four digit numbers in the question)
It is a four digit numbner.
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 4 and the 5
Between the 5 and the 7
Between the 7 and the 8
Between the 8 and the 0
Between the 5 and 7 is the answer
Find the missing probability. P(A)=2/5,P(B|A)=920,P(A∩B)
I think you meant P(B | A) = 9/20.
By definition of conditional probability,
P(B | A) = P(A ∩ B) / P(A)
so that
P(A ∩ B) = P(A) × P(B | A) = 2/5 × 9/20 = 18/100 = 9/50
Helpp I need help like actual help if you can help I appreciate you soo much
Answer:
Its C :)
Step-by-step explanation: So 41 + 10 + 15 is 66, which is just about 8*8 :)
A circle has a radius of 10 feet. find the area of the circle. show your work. use 3.14 for pi
need help plzzz
Answer:
314ft²
Step-by-step explanation:
The formula for the area of a circle is [ A = πr² ].
= π(10)²
= 100π
= 314
Best of Luck!
Plz help 57.3 - 4.32 =
Answer:
52.98
Step-by-step explanation:
what is 28.8 classified as in the real number system
Answer:
A rational number
Step-by-step explanation:
Answer:
Decimal number
Step-by-step explanation:
28.8 is a decimalConverting to fraction
[tex]\\ \sf\longmapsto 28.8[/tex]
[tex]\\ \sf\longmapsto \dfrac{288}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{144}{5}[/tex]
[tex]\\ \sf\longmapsto 28\dfrac{4}{5}[/tex]
27. A factory worker has 5,500 puzzles to pack into cartons that each hold 785 puzzles. How many puzzles will be left over after the last box is full? A. 5 B.6 C.7 D.8
Answer:
C. 7
Step-by-step explanation:
5,500 divided by 785 = 7.006, which can be rounded to 7.
The number of puzzle will be left over after the last box is full is 5. Therefore, the correct answer is option A.
Given that, a factory worker has 5,500 puzzles to pack into cartons that each hold 785 puzzles.
The number of cartons required = 5500/785
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Now,
785)5500(7
5495
__________
5
Here, the remainder is 5.
Therefore, the correct answer is option A.
To learn more about the division visit:
https://brainly.com/question/1575906.
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Multiply. (2x+5)(3x^2+2x+1)
a. 6x^3+19x^2+12x+5
b. 6x^3+15x^2+12x+6
c. 6x^3+19x^2+8x+6
d. 6x^3+18x^2+20x+5
Solution is in attachment !!
[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]
Answer:
a. [tex]6x^{3}+19x^{2}+12x+5[/tex]
Step-by-step explanation:
[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]
* ASAP TIMED ASSESSMENT*
An art museum recently discovered that 12% of their paintings had been stolen and replaced with replicas. If a tourist observes 3 different paintings at random, what is the probability that exactly 2 are fakes? Write your answer as a decimal rounded to the nearest thousandth.
We will find that the probability that exactly one is original (or that exactly two are fakes) is 0.038
We know that 12% of the paintings are replicas.
Then if we see a random painting, the probability that it is a replica is 0.12
This means that the probability that a random painting is not a replica, is 1 - 0.12 = 0.88
Now we want to find the probability that exactly two out of 3 paintings are fake.
An easier thing to find is the probability that exactly one of the paintings is original (is exactly the same thing, just another viewpoint).
Let's assume the paintings are ordered, and the first one is the original one.
The probability of this will be:
P = 0.88*0.12*0.12
But we also have the case where the second one is the original, and the case where the third one is the original, so we have 3 possible permutations.
This means that the probability that exactly one is original (or that exactly two are fakes) is:
P = 3*(0.88*0.12*0.12) = 0.038
If you want to learn more, you can read:
https://brainly.com/question/9793303
Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Step-by-step explanation:
If the parabola has the form
[tex]y = a(x - h)^2 + k[/tex] (vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola
[tex]y = \dfrac{1}{6}(x - 8)^2 + 6[/tex]
is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is
[tex]\text{focus} = (h, k +\frac{1}{4a})[/tex]
where [tex]\frac{1}{4a}[/tex] is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is
[tex]f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}[/tex]
By definition, the length of the latus rectum is four times the focal length so therefore, its value is
[tex]\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6[/tex]
3(x+4)=7x-18 brainliest
Answer:
x=15/2
give brainliest please
Answer:
3(x+4)=7x-8
3x+12=7x-8
7x-3x=8+12
4x=20
x=20/4
x=5
Can you guys help I need to turn this in like now
Answer: -17/12 or -1 5/12
Step-by-step explanation:
Morgan went to HEB and
bought 2 pounds of grapes for
$1.87 per pound and 3 pounds
of apples for $1.25 per pound.
How much did she spend?
Answer:
7.49$ in all
Step-by-step explanation:
help with this plzzzzzzzzz asap
Answer:
1,-4
Step-by-step explanation:
By using the midpoint formula
(X2+X1)/2 , (Y2+Y1)/2
(-3+5)/2 , (1+-9)/2
2/2, -8/2
Midpoint is 1,4
I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!
Answer:
M(1,-4)
Step-by-step explanation:
M=(x1+x2/2, y1+y2/2)
[-3+5/2,1+(-9)/2]
=(2/2,-8/2)
=(1,-4)
Find g (x) - f (x).
g (x) = x^2 + 1 and f (x) = 2x + 5
5. Two shelves are on a wall with one directly above the other. One shelf is 4 5/6 feet above the floor and the other is 5% 9/10 feet above the floor. Find the distance between the shelves.
Answer:the answer is a answer
Step-by-step explanation:
Solve the radical equation, if possible.
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
[tex]\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\[/tex]
What is the value of n In the equation below?
2n + 6 = 2n + 10
A. O
B. 1
c. many solutions
D. no solution
Hey plz help
Answer:
[tex]2n + 6 = 2n + 10 \\ 2n - 2n = 10 - 6 \\ 0n = 4 \\ \\ { \boxed{ \boxed{ \tt{ \red{! \: \: no \: solution}}}}}[/tex]
Translate the sentence into an equation or formula.
The sum of x and its square is equal to y times z.
Answer:
x + x^2 = y*z
Step-by-step explanation:
equation: x+ x^2 = y*z
The sentence is converted into an equation or formula that will be x + x² = yz.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Translate the sentence into an equation or formula. The sum of x and its square is equal to y times z.
The square of the number x will be x². And the product of the numbers y and z will be yz. Then the equation will be
x + x² = yz
The sentence is converted into an equation or formula that will be x + x² = yz.
More about the Algebra link is given below.
https://brainly.com/question/953809
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