Answer:
2 13/16
Step-by-step explanation:
1 15
16
+
7
8
= (1 + 0) + (
15
16
+
7
8
)
= 1 +
15
16
+
7 × 2
8 × 2
= 1 +
15
16
+
14
16
= 1 +
15 + 14
16
= 1 +
29
16
= 1 +
1 13
16
=
2 13
16
What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2
Please Help Fast I Don't Know
Answer:
376 people
Step-by-step explanation:
25% is 94
to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.
Alright i believe the answer is 376, to find the answer we need to find the percent of 1/4 and it is 25% so now i must find how many 25's can fit into the 100% or the whole, in this case 4 can fit into it so now i must multiply 94 * 4 = 376
so i think that is the answer is 376...
I hope this helps!
Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.
the answer is 39.60
Write this number in expanded form 36.91
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.
0.4286 is not rounded to hundredth rounded is 0.44
I think the answer is 0.43
Which unit rate is the lowest price per ounce out of 25 ounces of potato chips fo 3.49$ or 45 ounces of potato chips for 4.79$
Answer: choice A : 3.49/25 = 0.139 rounds to 14 cents per oz
choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz. lowest price is choice B
Mikai walks her dog Rufus take regular walks
together. Mikai and Rufus travel 5 miles every
8 days. Over the last 40 days how far have
Mikai and Rufus walked?
Answer:
They walked 25 miles in 40 days.
Step-by-step explanation:
The answer is 40 because 5 divided by 8 is 0.625 and 0.625 multiplied by 40 is 25.
P.S Can I have brainliest?
Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of six or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
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By what percent is 16 greater than 12.
Answer:
28 i assume.
Answer:
The answer is 28% :))
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?
I. If m > n the absolute value of the function approaches positive infinity as x gets very large.
II. If m < n the value of the function approaches zero as x gets very large.
III. If m = n the value of the function approaches a constant as x gets very large.
Answer:
g
Step-by-step explanation:
x goes to f m to 5 :-)
Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars
Answer:
9 pint sized jars
Step-by-step explanation:
There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.
Answer:
9 jars
Step-by-step explanation:
there are 2 pints in a quart so 4.5x2=9
Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?
Answer:
Step-by-step explanation:I think it is 5005
I need help asap ill give BRAINLIEST
Answer:
Concept: Basic Mathematics
1.3 18-14Answer:
1.3
18
-14.....................
Which expression can be used to find 1/2 of 12
Expression can be used to find 1/2 of 12 is 1/2*12
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex](in percentage)
Given;
P= 1/2 => 5/10 => 50/100
b= 12
substituting in the formula;
a/12 = 50/100
putting the value of 50/100 from given
a/12= 1/2
a= 1/2*12
Therefore, the correct answer will be 1/2*12
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if m=3 and n=-4 calculate the value of mn +n²
Answer:
28
Step-by-step explanation:
-4×-4=16
3×4=12
12+16=28
PLEASE HELP!! It’s urgent!! I will mark brainliest
Answer:
a,c,d
Step-by-step explanation:
Answer:
the answer is F, C, A
hii pls answer as quickly as possible i will give you the brainliest :))
Answer:
sorry
Step-by-step explanation:
I really don't know answer
Can you guys please help! I need the help ASAP I only have 10 minutes
Answer:
i think it jkme
Step-by-step explanation:
Help out pleaseeeeeeeeeeeeeeeee
How would you write 0.7 repeated as a fraction
Answer:
7/9
Step-by-step explanation:
7/9 = 0.777777777777777777...
0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].
What are Fractions?Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.
Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.
Fractions can be simplified as decimals.
We have to find the fraction representing the number 0.7 repeated.
0.7 repeated is actually the number 0.77777.....
The quotient of 5/8 = 0.625
The quotient of 6/7 = 0.857...
The quotient of 7/9 = 0.777.......
The quotient of 7/100 = 0.07
So, the quotient of 7/9 is the required number.
Hence the fraction which on simplification gives 0.7 repeated is 7/9.
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Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?
Answer:
x equals to 4
Step-by-step explanation:
because x is a coefficient of the bracket
which coordinate plane represents the linear relationship 4x + 5y = 20
pls help i need help :D
Answer:
[tex]\frac{2808}{3125}[/tex]
Step-by-step explanation:
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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Emily is at the grocery store and plans on buying cans of soup and frozen dinners, but is concerned about their sodium content. Each can of soup has 400 mg of sodium and each frozen dinner has 250 mg of sodium. How many milligrams of sodium are there in 2 cans of soup and 5 frozen dinners? How many milligrams of sodium are there in cc cans of soup and ff frozen dinners
Answer:
20
Step-by-step explanation:
5/8 didved by 1/4 plz help me with this
Answer:
The answer is 2.5 or 5/2 as a fraction.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
2.5
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex]
turns into
[tex]\frac{5}{8}[/tex] ×[tex]\frac{4}{1}[/tex] = [tex]\frac{20}{8}[/tex]
and 20/8 as a decimal is 2.5 :) hope this helps!
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer:
2(x - 1) - 1 = 3(x + 1) - 6 - x
There are infinitely many solutions.
Step-by-step explanation:
Equations
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7