55
Step-by-step explanation:
Subtraction
a. 2.95 + 18.3 +11
b.9.2 - 0.375
c. 0.275 + 27.5
d. 90 - 0.903
Answer:
a. 32.25
b. 8.825
c. 27.775
d. 89.097
My first number is -2 my fifth number is 26 what’s my third number
Answer:
Answer:
12
Step-by-step explanation:
28 / 4 = 7
1) -2
2) -2+7=5
3) 5+7=12
4) 12+7=19
5)19+7=26
My first number is -2 my fifth number is 26
My third number is 12
Given :
My first number is -2 my fifth number is 26
Lets assume the given numbers are in arithmetic sequence
First term is -2 and fifth term is 26
[tex]a_1=-2\\a_5=26[/tex]
Formula for nth term is
[tex]a_n=a_1+(n-1)d[/tex]
where d is the difference and n is the number of terms
[tex]a_5=a_1+(5-1)d\\a_5=-2+4d\\26=-2+4d\\26+2=4d\\28=4d\\divide \; by \;4 \\d=7[/tex]
Common difference is 7
First term is -2
second term is [tex]-2+7=5[/tex]
Third term is [tex]5+7=12[/tex]
So , the third number is 12
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how do you solve the following equation:
6(3x-5)=21
Answer:
17/6
2 5/6
Step-by-step explanation:
18x-30=21
18x=51
x=51/18
x=17/6
Write an exponential growth function and explain the growth pattern it models. Use complete sentences?
The function which grows or decreases at a constant % growth rate is known as an exponential function, and further discussion can be defined as follows:
This equation can be written as [tex]\bold{ f(x) = a(1 + r)^x\ or\ f(x) = ab^x}[/tex], where [tex]\bold{b = 1 + r}[/tex].These functions were frequently used to represent real-world applications.These bacterial growth & decay, demographic growth or decline, and compound interest.Growth curve modeling is a statistical technique for examining change over time using observational studies.Learn more:
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if y varies direrectly as x and inversely as the square of z. y=52 when x=16 and z=2. find y when x=18 and z=3.
Answer:
y = 26
Step-by-step explanation:
Given y varies directly as x and inversely as the square of z then the equation relating them is
y = [tex]\frac{kx}{z^2}[/tex] ← k is the constant of variation
To find k use the condition y = 52, x = 16, z = 2
k = [tex]\frac{yz^2}{x}[/tex] = [tex]\frac{52(4)}{16}[/tex] = 13
y = [tex]\frac{13x}{z^2}[/tex] ← equation of variation
When x = 18 and z = 3, then
y = [tex]\frac{13(18)}{9}[/tex] = 26
Last month haos dog ate 40 cans of dog food in 30 days how many cans hao buy to feed his dog for the next 6 days?
9 divided by 4/9 in simplest form
Answer:
The answer is [tex]\frac{81}{4}[/tex]
Step-by-step explanation:
The formula is: [tex]\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}[/tex]
In this case we have: [tex]\frac{9}{1} \div \frac{4}{9} = \frac{9\times 9}{1\times 4} = \frac{81}{4}[/tex]
Since 81 y 4 do not have common divisors. The fraction [tex]\frac{81}{4}[/tex]
is in its simplest form.
Final answer:
9 divided by 4/9 equals 81/4 or 20.25. This is done by multiplying 9 by the reciprocal of 4/9, resulting in 81/4, which is already in simplest form.
Explanation:
To calculate 9 divided by 4/9, we can rewrite the division as a multiplication by the reciprocal of 4/9. Here's the step-by-step explanation:
First, identify the reciprocal of 4/9, which is 9/4.Next, multiply 9 by the reciprocal of 4/9: 9 × (9/4).Perform the multiplication: 9 × 9 = 81 and keep the denominator 4.Now you have the fraction 81/4.Therefore, 9 divided by 4/9 equals 81/4 or 20.25 in decimal form. Since the problem asks for the simplest form, 81/4 is the final answer and cannot be simplified further because 81 and 4 have no common factors other than 1.
If y= -7 when x= -3, find y when x=9
if i am right you would multiply x= -3 by -3 and you get 9 so you would do the same thing to the y as well so y= -7 and you multiply it by -3 and then y= 21
Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. he currently has a 40% solution and a 70% solution. how many liters of each does he need to make the needed 30 liters of 60% acid solution?
To make 30 liters of a 60% solution from 40% and 70% solutions, set up two simultaneous linear equations representing volume and concentration; solve them to find the required volumes.
Explanation:To solve the question posed by Gabe, a nuclear physicist, we will need to use the concept of mixtures in Mathematics. The total volume he needs is 30 liters of a 60% acid solution, and he has available 40% and a 70% acid solutions.
The solution to this problem involves setting up two equations, one for the total volume and second for the amount of acid.
Let's denote the volume of the 40% solution by x and the volume of the 70% solution by y. Our first equation based on volume is: x + y = 30 (because total volume needed is 30 liters).
Our second equation represents the fact that the volume times the percentage of acid present (converted to a decimal) for each solution should match up to the total volume times the overall percentage of acid (also converted to a decimal) in the final 60% solution. This gives us: 0.4x + 0.7y = 30*0.6.
Solving these two linear equations simultaneously using methods such as substitution or elimination will give us the value of x and y, which are the required liters of 40% solution and 70% solution respectively.
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how many times does 26 go into 80
Answer:
80/26 = 3.07
Step-by-step explanation:
Answer: 3 times!
Step-by-step explanation:
80 divided by 26 is 3.07 but you can round it to 3
The amount of money,
A
(
t
)
A(t)
in a savings account that pays 3% interest, compounded quarterly for
t
t
yesrs, when an initial investment of $2000 is made, is given by
A
(
t
)
=
2000
(
1.0075
)
4
t
A(t)=2000(1.0075)4t
.
good luck man i hate having to do this kind of thing in class
The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] represents the amount of money in a savings account with quarterly compounding interest over time.
The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] describes the amount of money, [tex]\(A(t)\),[/tex] in a savings account over time, where [tex]\(t\)[/tex] represents the number of years. The initial investment is $2000, and the account earns interest at a rate of 3%, compounded quarterly.
The term [tex]\((1.0075)^{4t}\)[/tex] represents the growth factor of the investment over time.
The base, [tex]\(1.0075\),[/tex] represents the factor by which the investment grows each quarter, considering the 3% annual interest rate.
Since the interest is compounded quarterly, it is raised to the power of [tex]\(4t\)[/tex] to account for the total number of quarters over [tex]\(t\)[/tex] years.
Multiplying the initial investment by this growth factor yields the total amount of money in the account after[tex]\(t\)[/tex]years.
As time increases, the exponential term increases, leading to exponential growth in the account balance.
This formula provides a mathematical model for calculating compound interest and understanding how investments grow over time.
@ 4x +(2x - 1) = x +5+x-6
Answer:
I believe the answer is 4 but im not sure because I skipped the @ but I didnt know what it meant
Step-by-step explanation:
4x +(2x - 1) = x +5+x-6
pretend that there is a 1 in front of the bracket
4x+1(2x-1)= x+5+x-6
Mutiply the bracket by 1
(1)(2x)= 2x
(1)(-1)= -1
4x+2x-1=x+x+5-6( combine like terms)
6x-1= 2x-1
move 2x to the other side
sign changes from +2x to -2x
6x-2x-1= 2x-2x-1
4x-1=-1
move -1 to the other side
4x-1+1= -1+1
4x= 0
divide by 4 for both sides to get x by itself
4x/4= 0/4
Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x
x= 0/4
Answer: x= 0
State a true conclusion.
1) If B is between A and C then AB + BC = AC.
2) Q is between R and S.
Conclusion
Answer: QR + RS = QS
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x+y=4________(1) and x²+xy=-2_______(2) solve this simultaneously find X and Y
Answer:
[tex][2 - \sqrt{6}, 2\sqrt{6}] \\ [2 + \sqrt{6}, -2\sqrt{6}][/tex]
The work is shown above.
I am joyous to assist you anytime.
Rewrite the radical expression with a rational exponent
3✔️ x7.
A. X21
B. X4
C. X 7/3
D. 3/7
Answer:
[tex]x^{\frac{7}{3} }[/tex]
Step-by-step explanation:
The given expression is
[tex]\sqrt[3]{x^{7} }[/tex]
There's a exponent which relates fractional exponents and roots, that is
[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]
So, if we apply this property, the results would be
[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]
Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]
Answer:
c
Step-by-step explanation:
i took the test
BRAINLIEST FIRST TO ANSWER! Which property is shown in this example? (8.1+7.9)+5.4=8.1+(7.9+5.4)
Identity/ Commutative/ Associative/ Distributive/
Answer: Associative
Associative says it doesn't matter what is added or multiplied first, and this question shows this
Hope this helps!
Answer: Associative
Step-by-step explanation:
What is the solution to this equation
x +8=-3
Answer:
Step-by-step explanation:
x+8=3
X=-3-8= -11
X=-11
minus the 8 over and the answer will be -11
Answer:
{X:X=-11}
Step-by-step explanation:
It is done by making x the subject in that relation. Thus grouping of like terms.
the equation then becomes ;
x=-3-8
since moving a positive number to the = sign gives a negative number.
-3-8= -11
Therefore ,{x:x=-11} is the solution
BRAINLIEST!!!!!!!!!!!!!!!
Answer:
all the ekements of set A lies in set B
Answer: were is the question and how do you put down brainliest
Step-by-step explanation:
Write a subtraction expression using integers, whose difference equals -5.
-3+ -2= -5
same sign add
-7 + 2 = -5
different signs subtract and keep the sign of the BIGGER number
last week at the business where you work,you sold 120 items.the business paid $1 per item and sold them for $3 each.what profit did the business make from selling the 120 items?
Answer:
The business would get 240$
Step-by-step explanation:
120$ is the amount you would of made for the the 120 items. The business gets 3$ per item. 120 x 3 would be 360, subtracted by 120 which is what they give you. The business would end up with 240$, or 2/3rds of the money.
Answer:
240
Step-by-step explanation:
since you get the items for 1 dollar and sell them for 2 you need to subtract 3-1 to get your profit which is 2. since you sold 120 items, multiply 120x2 to get your profit of 240.
A man caught a fish. It weighed 5/7kg + 5/7 its own weight what did it weigh
what is the smallest number that rounds to 40
Answer: 2
Step-by-step explanation:
Answer:35
Step-by-step explanation: the reason this is true is because 5is the smallest number that can round up to ten
A company packs boxes at a constant rate of 3/4 of a box every of a box every
1/2 minute. What is the number of boxes per
A company packs boxes at a constant rate of
minute the company packs?
Answer:
1 1/2 boxes per minute
Step-by-step explanation:
The company packs boxes at a rate of 3/4 of a box every 1/2 minute. By multiplying this rate by the reciprocal of the time (2/1), we find that the company packs 1.5 boxes per minute.
The student's question involves finding out the rate at which a company packs boxes. The company packs boxes at a constant rate of 3/4 of a box every 1/2 minute.
To find how many boxes are packed per minute, we need to adjust the given rate to reflect the number of boxes packed in one full minute. We can do this by dividing the number of boxes (3/4) by the fraction of the minute (1/2) during which they are packed.
Here's a step-by-step explanation:
Multiply the number of boxes by the reciprocal of the time fraction: (3/4) × 2/1.Simplify the result: 3/4 × 2 = 6/4, which reduces to 3/2 or 1.5.Therefore, the company packs 1.5 boxes per minute.
As of the 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people. How many more people live in Brooklyn than in Marlboro?
Answer:
2,494,920
Step-by-step explanation:
We have been given that in 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people.
[tex]\text{People live in Brooklyn}=681\times 3,669[/tex]
[tex]\text{People live in Brooklyn}=2,498,589[/tex]
Now, we will subtract 3,669 from 2,498,589 to find the number of people more in Brooklyn than Marlboro.
[tex]\text{People more in Brooklyn than Marlboro}=2,498,589-3,669[/tex]
[tex]\text{People more in Brooklyn than Marlboro}=2,494,920[/tex]
Therefore, there are 2,494,920 more people live in Brooklyn than in Marlboro that is 680 times the people in Marlboro.
is the function even, odd, or neither?
which property is shown? 4/5+(-4/5)=0
Answer:
Inverse Property
Step-by-step explanation:
Any number X plus the negative of itself = 0
Randy's football team had the ball on the zero yard line.On their first play they gained 6 yards.On the second play they lost 4 yards.On what yard line is the ball now?
Answer:
2 yard line
Step-by-step explanation:
It starts at the 0 yard line then goes up to the 6 yard line
0 + 6 = 6
After, from the 6 yard line they go back 4 yards
6 - 4 = 2
Now they're at the 2 yard line.
Please help me idk this
Answer:
it would be 2.8150
Step-by-step explanation:
since there is a one in the tenths place it rounds down to 0 with makes it 50
What is my number?
Clue 1 My number is a multiple of 2 and 7.
Clue 2 My number is less than 100 but greater than 50.
Clue 3 My number is the product of three different prime numbers.
Answer:
56 is the correct answer
Step-by-step explanation:
50<X<100 it could be 56,70,84,98
56=2*7*5 V
70=2*7*6 X
84=2*7*7 X
98=2*7*8 X
The number that satisfies all the given clues is 84.
Explanation:The number that satisfies all the given clues is 84.
Clue 1: The number is a multiple of 2 and 7. The least common multiple of 2 and 7 is 14. So, any multiple of 14 will be a valid answer.Clue 2: The number is less than 100 but greater than 50. 84 satisfies this condition.Clue 3: The number is the product of three different prime numbers. Prime factorizing 84 gives 2 × 2 × 3 × 7, which are different prime numbers.Therefore, the number that meets all the given clues is 84.
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hi i need help please