Answer:
x=-5
Step-by-step explanation:
move the x to the other side. Then move the - 23. you get -x=5
you divide by -1 and you get x=-5
Step-by-step explanation:
Given equation,
-23 = x - 18
⇛-23 + 18 = x
⇛ -5 = x
⇛x = -5 Ans.
Hence, the value of "x" is -5.
Which of the following represents the series? –13 + (–7) + (–1) + 5 + 11
Answer:
Adding +6 in turn
Step-by-step explanation:
-13+6=(-7)
(-7)+6=(-1)
(-1)+6=5
5+6=11
11+6=17
17+6=23
23+6=29
29+6=35
........... And so on
if it helped uh please mark me a brainliest :))AB and BC form a right angle at point B. If A= (-3, -1) and B= (4, 4), what is the equation of BC
A. x + 3y = 16
B. 2x + y = 12
C. -7x - 5y = -48
D. 7x - 5y = 48
Answer:
(C) -7x - 5y = -48
Step by step explanation:
We look for the equation of the line AB
We have then:
y-yo = m (x-x0)
m = (y2-y1) / (x2-x1)
m = (4 - (- 1)) / (4 - (- 3))
m = 5/7
We choose an ordered pair:
(xo, yo) = (4, 4)
Substituting:
y-4 = (5/7) (x-4)
y = (5/7) x-20/7 + 4
7y = 5x - 20 + 28
7y = 5x + 8
y = (5/7) x + 8/7
The equation of the perpendicular line is:
-7x - 5y = -48
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
A rental car company charges $36.39 per day to rent a car and $0.09 for every mile driven. Miguel wants to rent a car, knowing that
He plans to drive 225 miles.
He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel can afford to rent for while staying within his budget?
The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.
What is an inequality?
An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.
We are given per day charges as $36.39 and the charges per mile as $0.90.
Also, it is given that in total 225 miles have been driven.
So, the charges of 225 miles are:
⇒225 x 0.90
⇒$202.5
It is given that he can spend maximum $480.
So, for the maximum number of x days, we get the inequality as
202.5 + 36.39x ≤ 480
Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is
202.5 + 36.39x ≤ 480.
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The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324
I REALLY NEED HELP PLS.....
Answer:
The last two.
\( - 5x + 3 \: and \: - 2x + 3 - 3x\)
Step-by-step explanation:
Simplify the first set of parentheses to get
\( - 5 \frac{1}{3} x\)
Simplify the second set of parentheses by distributing the negative. It will change the signs in the parentheses.
\( \frac{1}{3} x + 3\)
Add (really subtract since the signs are different) the like terms.
\( - 5x + 3\)
What is the domain of the relation?
Shelly borrowed $20 from her dad to buy a new CD player. She has paid back $17. Which equation could be used to find x, the amount she still owes her dad?
17 - x = 20
17 - 20 = x
x + 17 = 20
x + 20 - 17
Answer:
Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x
Step-by-step explanation:
Julian wrote this number pattern on the board:
3,10,17,24,31,38
Wich of the numbers in Julian's pattern
are composits numbers.
The composite numbers in Julian's pattern of 3, 10, 17, 24, 31, and 38 are 10, 24, and 38.
A composite number is a positive integer greater than 1 that has more than two factors. In other words, it's a number that is not prime.
To determine whether each number in Julian's pattern is composite or not, we need to check whether it has factors other than 1 and itself.
Starting with the first number in the pattern, 3, we can see that it is a prime number because it is only divisible by 1 and 3.
For the second number, 10, we can check whether it is divisible by any integer between 2 and 10 (excluding 1 and 10). We find that it is divisible by 2 and 5, so it is composite.
Similarly, we can check the rest of the numbers in the pattern:
17 is a prime number because it is only divisible by 1 and 17.
24 is divisible by 2, 3, 4, 6, 8, and 12, so it is composite.
31 is a prime number because it is only divisible by 1 and 31.
38 is divisible by 2, 19, and 38, so it is composite.
Therefore, the composite numbers in Julian's pattern are 10, 24, and 38.
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46x + 56xy (distributive property)
Step-by-step explanation:
\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)
\(46x +(56x)y \\ = (100x)y \\ = 100xy\)
Answer:
2x(23+28y)
Step-by-step explanation:
2x.23=46x 2x.28y=56x but 46x+56xy
The pet shop has 6,157 dog treats. They packed the treats into bags with 7 pieces in each bag. Any treats that did not fit into a bag of 7 were given to Groomer to use to reward animals getting bathed. How many bags of treats did they fill? How many treats were given to the groomer?
They filled bags that total 879 and the treats that did not fit are 4
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here, total treats = 6157, and group them in bags with 7 each
now, we can write 6157 = 879×7+4
thus, on dividing 6157 by 7 we get the remainder as 4 and the quotient as 879
Hence, the bags of treats they filled is 879, and 4 treats were given to the groomer
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Question 2(Multiple Choice Worth 4 points)
(05.02, 05.03 MC)
Solve the system of equations.
2x + 4y = 12
3x +y = 3
(0,3)
○(1,0)
(2, 2)
(2,-3)
Question 3(Multiple Choice Worth 4 points)
Answer: (0,3)
x=0 ; y=3
Step-by-step explanation:
To solve the system of equations:
2x + 4y = 12
3x + y = 3
We can use the method of substitution or elimination. Here we will use the substitution method:
From Equation 2, we can isolate y:
y = 3 - 3x
We can substitute this expression for y into Equation 1:
2x + 4(3 - 3x) = 12
Simplifying and solving for x:
2x + 12 - 12x = 12
-10x = 0
x = 0
Now that we have found the value of x, we can substitute it back into either Equation 1 or Equation 2 to solve for y. Here we will use Equation 2:
3(0) + y = 3
y = 3
Therefore, the solution to the system of equations is (x, y) = (0, 3).
This means that the point (0, 3) is the intersection point of the two lines represented by the given equations. To verify this, we can substitute the values of x and y into both equations and see if they are true.
solve the inequality-2+4x<14
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
1/2-1/6
Jzjzhhzhzhzhhz
Answer:
ummm the answer is very simple
The answer is 0/6
Step-by-step explanation:
\( \frac{1}{2 \times 3} - \frac{1}{6} \)
\( \frac{1}{6} - \frac{1}{6} \)
\(1 - 1 = \frac{0}{6} \)
What is the area of the figure?
Answer:
33\(\frac{1}{2}\)
Step-by-step explanation:
Calculate the area of the large figure by multiplying the length and the width (7\(\frac{1}{4}\)*6). Then, calculate the area of the smaller figure (5*3\(\frac{2}{3}\)). Finally subtract the area of the smaller figure from the area of the larger figure. ((7\(\frac{1}{4}\)*6)-(5*3\(\frac{2}{3}\))
Hope this helps!
An older sister bragged that she had 16 different outfits. Her younger sibling said, "That's not true. You have two pairs of jeans, two shirts, and two pairs of shoes. There's no way that makes 16 different outfits. You only have eight outfits." Who is correct and why? Show your work and justify your thinking.
Answer:
Yes the younger sister is telling the truth
Step-by-step explanation:
you could simply do 2*2*2 which equal 8
If f(x) = -2x + 8 and g(x) = v* + 9, which statement is true?
We have the function;
\(f(x)=-2x+8\)and
\(g(x)=\sqrt[]{x+9}\)Let's obtain f(g(x) before we make conclusions on the statements.
\(f^og=-2(\sqrt[]{x+9})+8\)The domain of f(g(x) starts from x= - 9, this is where the function starts on the real line.
But - 6 < -9 , and thus,
The answer is - 6 is in the domain of the function.
question- pls help me find the answer to this question
Answer:
(a) 6cm
Step-by-step explanation:
Hope you have good grades and study well...btw make me as brainliest ty sweetie!
A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.
Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.
Answer:
The correct option is
Option A and Option C
Step-by-step explanation:
From the question we are told that
The sample size of paired men is \(n_p = 11\)
The test statistics is t≈1.971
The significance level is α=0.05
The rejection region is t<−2.228 and t>2.228
The null hypothesis is \(H_o :\mu_ d=0\)
The alternative hypothesis is \(H_a :\mu_ d \ne 0\)
Generally the degree of freedom is mathematically represented as
\(df = n_1 + n_2 - 2\)
Here \(n_1\) is the sample size of father which is \(n_1 = 11\)
\(n_2\) is the sample size of males who are at least 18 years old which is \(n_2 = 11\)
So
\(df = 11 + 11 - 2\)
=> \(df = 20\)
Generally the critical values of α=0.05 from the t- distribution table at a degree of freedom of \(df = 20\) for a two -tailed test is
\(t_{0.05 , 20 } = \pm 2.08596345 \)
From the value obtained we see that the critical value is within the region of rejection hence
The decision rule is
Reject the null hypothesis
The conclusion is
The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation:
If A=(4,-5) and B=(7,-9), what is the length of AB
The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.
The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.
Let's calculate the length of AB using the given coordinates for points A and B:
Coordinates of point A: A = (4, -5)
Coordinates of point B: B = (7, -9)
The distance formula is given by:
\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)
Substituting the coordinates of A and B into the formula:
\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)
d = √[9 + 16]
d = √25
d = 5
Therefore, the length of line segment AB is 5 units.
The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.
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plz help me this is a final!!!!
Answer: (a) 13 (b) 1
Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.
Answer:
A.13 b.-1
Step-by-step explanation:
a 6+7=13
b 6- -7=-1
Prove that for all integers a, b, n, if n = a + b, then a ≤ n/2 or b ≤ n/2 using proof by contradiction.
From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-
n = a + b
n = 3 + 3 = 6
a = 3, n = 6 then a ≤ n/2.
b = 3, n = 6 then b ≤ n/2.
Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
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Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answer:
In that one week, his commision was $896, over all 52 weeks, he made $46592
Step-by-step explanation:
So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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Help help hep helphelp help
Answer:
32 qt = 8 gal
Step-by-step explanation:
1 qt x 32 = 1/4 gal x 32
32 qt = 32/4 gal
32 qt = 8 gal
Lester worked 12 hours last week at the grocery store and earned $93.00. If he continues to earn the same hourly pay, how many additional hours must he work to earn another $62.00?
A. 9 hours
B. 10 hours
C. 11 hours
D. 8 hours
Answer:
8 hours
Step-by-step explanation:
We can use a ratio to solve
12 hours x hours
---------- = ------------
93 dollars 62 dollars
Using cross products
12 * 62 = 93x
Divide each side by 93
12*62/93 = 93x/93
8 = x
8 hours
What is the volume of this rectangular prism?
A)40 cu in
B)120 cu in
C)22cu in
D)84 cu in
Answer: B (120 in^3)
Step-by-step explanation: W * L *H = V
Length * Width * Height = Volume
You can multiply the LWH in any order.
Height = 4
Length = 10
Width = 3
Remember, anything multiplied by ten is just the product (answer) with a zero added to the end. Example: 4 * 3 = 12; 12 * 10 = 120
Another Example: 15 * 2 = 30; 30 * 10 = 300
4 * 10 = 40
40 * 3 = 120
Therefore, 120 is your answer.
Hope this helps!
Answer:
The answer to your problem is, 120 cu in
Step-by-step explanation:
In order to find the volume of the cube there is only one thing that you need to do which is pretty simple just follow these steps:
Multiply, l * w * h ( * = multiply )
By following the formula up above you can find the volume of a rectagular prism which is:
4 x 10 = 40
3 x 40 = 120.
Thus the answer to you problem is, 120 cu in
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Helppppp !!!
For each relation, decide whether or not it is a function.
1. Relation 1 is a function
2. Relation 2 is a function
3. Relation 3 is not a function
4. Relation 4 is a function
How to determine if each relation is a functionFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4)
Relation (1)
This relation is a function
This is because each range value point to unique domain values
Relation (2)
This relation is a function
This is because each range value point to unique domain values
Relation (3)
This relation is not a function
This is because domain values w have different range values.
Relation (4)
This relation is a function
This is because each range value point to unique domain values
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