The number that makes the equation true is 7.
To solve for the missing number, we need to isolate the variable on one side of the equation. We can do this by subtracting 3/10 from both sides of the equation, which gives us:
0.4 + 3/10 - 3/10 = ?/10
Simplifying the left side of the equation, we get:
0.4 = ?/10
To solve for the missing number, we can multiply both sides of the equation by 10, which gives us:
4 = ?
Therefore, the missing number is 7, which can be verified by substituting it back into the original equation:
0.4 + 3/10 = 7/10 + 3/10
Simplifying the right side of the equation, we get:
0.4 + 3/10 = 1
And since the left side of the equation is also equal to 1, we can conclude that the solution is correct.
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2/13=m/39 proportion
15PTS HELP ASAP PLEASE! A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 160 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
Answer:
Step-by-step explanation:
68 Ounces B - 61.2
92.4 Ounces A - 60.06
70% of 160 = 112
A+B estimated 112
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
In the model above, the 8 that the arrow points to is
times the 8 to the left of the arrow and
times the 8 to the right of the arrow.
In the model above, the 8 that the arrow points to is 1/10 times the 8 to the left of the arrow and 10 times the 8 to the right of the arrow.
What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Generally speaking, the place value of the 8 that the arrow points to is tens and as such, we have the following:
8 = 80 × 1/10
8 = 0.8 × 10
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WILL GIVE BRAINLIEST!!!!!!!!!
Use the value of y (y=4) for part b to correctly find the measures of AX and BD and list each step for each.
Use the figure below:
Answer:
So BD= 2*(y+4) -> 2*(4+4) = 16
and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8
Step-by-step explanation:
hope that helped
From 362 m to 156 m and is it a increase or decrease?
Answer:
decrease of 206 m
Step-by-step explanation:
Since 156 is less than 362 then it is a decrease and
362 - 156 = 206
Thus a decrease of 206 m
(5 pts) For how many 3-digit numbers from 100 to 999 (inclusive) is the sum of the digits even? For example, 343 is good because 3+4+3=10 is an even number, but 124 is bad because 1+2+4=7 is not an even number.
The sum of digits in 343 is 10, an even number, while in 124 it is 7, an odd number. There are 450 three-digit numbers with an even sum of digits.
To determine the number of 3-digit numbers from 100 to 999 (inclusive) where the sum of the digits is even, we need to consider the possible combinations of digits.
There are 9 choices for the hundreds digit (1 to 9), 10 choices for the tens digit (0 to 9), and 10 choices for the units digit (0 to 9).
If the hundreds digit is fixed, there are two possibilities for the sum of the tens and units digits: even or odd.
For odd sums, half of the options will be even and the other half will be odd.
Therefore, half of the total combinations will have an even sum of digits.
Hence, there are 450 three-digit numbers from 100 to 999 (inclusive) with an even sum of digits.
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You pay 6% tax on a $30 portable speaker. What is the amount of tax?
Answer:
31.80 is the total 1.80 is the amount of tax
Step-by-step explanation:
Answer:
$1.80
Step-by-step explanation:
6% is equal to 0.06
Multiply 30 by 0.06 and that equals 1.8
$1.80 is your answer
Simplify the following expression: 6c - 9c - 8
pls show work so i can write down
Answer:
\( - 3c - 8\)
Step-by-step explanation:
1) Collect like terms.
\((6c - 9c) - 8\)
2) Simplify.
\( - 3c - 8\)
Therefor, the answer is -3c - 8.
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked 2 4 5 8
Amount paid 30.40 60.80 76 121.60
Which equation could represent Relationship A?
Hours worked is represented by x, and the amount paid is represented by y.
Select each correct answer.
Responses
y = 16.4x
y = 15.2x
y = 14.9x
y = 15.4x
The correct expression for the given condition will be;
⇒ y = 15.2x
Option 2 is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
House worked = 2, 4 , 5, 8
Amount paid = 30.40 , 60.80 , 76 , 121.60
Now,
Find the correct expression as;
Take two condition for find the expression,
x₁ = 2 and y₁ = 30.40
x₂ = 4 and y₂ = 60.80
So, The equation of line for the given condition is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Hence, m = (60.80 - 30.40) / (4 - 2)
m = 30.40 / 2
m = 15.20
Thus, The equation of line for the given condition is defined as;
y - 30.40 = 15.20 (x - 2)
y - 30.40 = 15.20x - 30.40
y = 15.20x
Therefore,
The correct expression for the given condition will be;
⇒ y = 15.2x
Option 2 is true.
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Find the y-intercept of the line y=2x–12. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Answer:
b = -12
Step-by-step explanation:
In order to find the y intercept, the equation of the line must be in slope intercept form \(y=mx+b\) where m is the slope and b is the y intercept.
\(y=2x-12\)
As we can see, the equation of the line is clearly in slope intercept form. If we know click clack, aka change the sign and change if its positive or negative, 12 becomes -12.
Therefore, the y intercept is -12.
What types of expenses should you make a savings plan for?
Answer:
It's a good idea to make a savings plan for all of your regular expenses, as well as any unexpected expenses that may come up. This can include things like housing costs, groceries, utilities, transportation costs, insurance premiums, and debt payments. It can also be helpful to save for larger expenses that you know are coming up, such as a vacation or a home repair. By making a plan for your savings, you can ensure that you have the funds available to cover all of your expenses, both expected and unexpected.
Given g(x) = x2-4
Find g(-3)
Answer:
-10
Step-by-step explanation:
g(-3)=3×3 -4
=9-4
=5
Answer: 5
Step-by-step explanation:
g(x)=x²-4
g(-3)=(-3)²-4
g(-3)=9-4
g(-3)=5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Write each ratio or rate in simplest form.
85: 34
To simplify the ratio 85:34, we need to find the greatest common divisor (GCD) of the two numbers and divide both terms of the ratio by it. In this case, the GCD of 85 and 34 is 17, so we divide both terms by 17.
Dividing 85 by 17 gives us 5, and dividing 34 by 17 gives us 2. Therefore, the simplified form of the ratio 85:34 is 5:2. Simplifying a ratio to its simplest form ensures that it represents the smallest whole number ratio between the two quantities being compared. In this case, the simplified ratio 5:2 tells us that for every 5 units of one quantity, there are 2 units of the other quantity. This simplified form is easier to work with and interpret, providing a clear understanding of the relationship between the two values.
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How do we compute 101^(4,800,000,023) mod 35 with Chinese Remainder Theorem? (by hand only)
Im working on it for like 4 hours but no idea.
To compute 101^(4,800,000,023) mod 35 using the Chinese Remainder Theorem, we need to first decompose 35 into its prime factors: 35 = 5 × 7.
Next, we need to compute 101^(4,800,000,023) mod 5 and 101^(4,800,000,023) mod 7 separately.
To compute 101^(4,800,000,023) mod 5, we can use Fermat's Little Theorem, which states that if p is a prime number and a is a positive integer not divisible by p, then a^(p-1) ≡ 1 mod p. Since 5 is prime and 101 is not divisible by 5, we have 101^(4) ≡ 1 mod 5. Therefore, 101^(4,800,000,023) ≡ 101^(4 × 1,200,000,005 + 3) ≡ (101^4)^1,200,000,005 × 101^3 ≡ 1^1,200,000,005 × 101^3 ≡ 1 × 101^3 ≡ 1 mod 5.
To compute 101^(4,800,000,023) mod 7, we can use Euler's Totient Theorem, which states that if a and m are coprime positive integers, then a^φ(m) ≡ 1 mod m, where φ(m) is Euler's totient function. Since 7 is prime and φ(7) = 6, we have 101^6 ≡ 1 mod 7. Therefore, 101^(4,800,000,023) ≡ 101^(6 × 800,000,003 + 5) ≡ (101^6)^800,000,003 × 101^5 ≡ 1^800,000,003 × 101^5 ≡ 101^5 ≡ 4 mod 7.
Now we can use the Chinese Remainder Theorem to combine the results. Let x ≡ 1 mod 5 and x ≡ 4 mod 7. Then we can write x = 5k + 1 for some integer k. Substituting this into the second congruence, we get 5k + 1 ≡ 4 mod 7, or equivalently, k ≡ 6 mod 7. Therefore, x = 5k + 1 ≡ 5(6) + 1 ≡ 31 mod 35.
Hence, 101^(4,800,000,023) mod 35 = x = 31.
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2(x-7)<-12
Help!! I need this for my math
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
The following are common multiples for
which pairs of numbers?
72, 108, 180
A. 3 and 8
B. 4 and 7
C. 6 and 8
D. 9 and 12
Answer:
D 9 an d12
Step-by-step explanation:
Answer:
D: 9 and 12
Step-by-step explanation:
The way I worked out the soultion is by seeing if they are multiples, how I did that was simply by going on to a multiples chart or calculator and seeing if 9 and 12 each had the numbers 72, 108, and 180 on them and once I did I knew that was the answer. The other answers did have at least one of the numbers as an answer but they didn't have all three, the only one that did was answer D.
If h is the inverse function of f and if f(x) = , then h'(3) =
We need to find the inverse of the function f(x) = 1/x. Therefore, h'(3) = -1/\(3^2\) = -1/9. So, h'(3) = -1/9.
In the equation expressing the function, swap out f(x) with y. Swap out x and y. To put it another way, swap out every x for a y and vice versa.
An inverse in mathematics is a function that is used to another function.
Calculate y using a solution.
To find the inverse, we switch the x and y variables and solve for y:
x = 1/y
y = 1/x
So the inverse function of f(x) = 1/x is h(x) = 1/x.
Now, we need to find h'(3), the derivative of h(x) at x = 3.
h(x) = 1/x, so using the power rule of differentiation, we get:
h'(x) = -1/\(x^2\)
Therefore, h'(3) = -\(1/3^2\) = -1/9.
So, h'(3) = -1/9.
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Correct Question:
If h is the inverse function of f and if f(x) = 1/x, then h'(3) =
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Step-by-step explanation:
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Raquel’s net pay if she has the additional items withheld is $600.99. which is option A
How to solveThe additional withholdings are:
Social Security tax: $45.04
Medicare tax: $10.54
State tax: $13.02
The total withholdings are $62 + $45.04 + $10.54 + $13.02 = $130.6
Raquel's net pay is $732 - $130.6 = $600.99.
So the answer is (a).
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GIVE SIMPLE WORKING OUT PLS:)
Enter the value of b so that the expression 9(a+5) is equivalent to 9(b+a)
The value of b that makes the expression 9(a+5) and 9(b+a) equivalent is 5.
To make the expression 9(a+5) and 9(b+a) equivalent, we need to find the value of b that makes them equal for all values of a.
We can start by expanding expressions using distributive property of multiplication:
9(a+5) = 9a + 45
9(b+a) = 9b + 9a
Two expressions will be equal if 9a + 45 = 9b + 9a for all values of a.
Simplify this equation by subtracting 9a from LHS and RHS:
45 = 9b
Finally, divide by 9 by b:
b = 5
To make the expressions equivalent, we need to find the value of b that makes 9(a+5) equal to 9(b+a) for all values of a. We can do this by expanding both expressions and equating them, and then solving for b. The value of b that we get is 5, which means that we can rewrite 9(a+5) as 9(5+a) to make it equivalent to 9(b+a).
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Whats the product of 2x - 3 and x + 1.
Determine the type of dilation shown and the scale factor used.
Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5
The type of dilation and scale factor in the figure shown is
Enlargement with scale factor of 2.5How to find the type of dilationScale factors are used to increase or decrease image. The situation of increment is usually called magnifying or enlargement.
The given problem is enlargement since the preimage is smaller than the image. Also the scale factor will be greater than 1
Taking a point of reference say side 6 in the preimage and side 15 in the image and solve for the factor, assuming the factor is k
6k = 15
k = 15/6
k = 2.5
hence we say that the scale factor is 2.5
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Answer: Enlargement with scale factor of 2.5
Step-by-step explanation: I took the quiz so you don't have too!
round to the nearest tenth
9514 1404 393
Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
help me pleaseeeeeeeeeeeeeeeeeeeeee rnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Since the day you start is May 10 and the day you end is May 22, subtract:
22-10 = 12
This will give you the value of x (x=12) which is the number of days since May 10.
Substitute this value into the equation and solve.
if the area under the standard normal curve to the left of z1.72 is 0.0427, then what is the area under the standard normal curve to the right of z1.72?
The area under the standard normal curve to the left of z = 1.72 is 0.0427. To find the area to the right of z = 1.72, we can subtract the area to the left from 1.
Subtracting 0.0427 from 1 gives us an area of 0.9573. Therefore, the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573.In the standard normal distribution, the total area under the curve is equal to 1. Since the area to the left of z = 1.72 is given as 0.0427, we can find the area to the right by subtracting this value from 1. This is because the total area under the curve is equal to 1, and the sum of the areas to the left and right of any given z-value is always equal to 1.
By subtracting 0.0427 from 1, we find that the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573. This represents the proportion of values that fall to the right of z = 1.72 in a standard normal distribution.
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Determine whether the given function is even, odd or neither. *(1 Point)f(x) = x3 - 2x
Given:
The function is,
\(f(x)=x^3-2x\)Replace x by -x in the given function,
\(\begin{gathered} f(x)=x^3-2x \\ f(-x)=(-x)^3-2(-x) \\ =-x^3+2x \\ =-(x^3-2x) \\ =-f(x) \end{gathered}\)It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.
Thus, the given function is odd.
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
A main task for members during the final session is to put into words what has transpired from __________.
The main task for members during the final session is to put into words what has transpired from the first to the final session.
What happens in the first session of group therapy?The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.
What is the first therapy session called?Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.
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Identify the dependent and independent variables in the situation.
You can get a higher score on your math test when you spend more time studying.
A. Dependent variable: time
Independent variable: score
B. Dependent variable: score
Independent variable: time
Answer:
Independent variable: Time studying
Dependent variable: Score
Step-by-step explanation:
Independent variable is what you change, dependent variable is the result. So if changing how much time you spend studying changes your math test results, the independent variable is time. Have a nice day!
On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read? Write the answer in simplest form. My answer was 1/3, is this correct?
She had read 1/2 of the book. 1/3 is not the correct answer.
Part of book she read on Monday = 1/6
Part of book she read on Tuesday = 2/6
Total = 1/6+2/6
= (1+2)/6
= 3/6
= 1/2
Hence, she read 1/2 of the book by reading 1/6 on Monday and 2/6 on Tuesday.
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