The equations are solved to give;
46. x = 5
48. h = 1
50. The inequality is 7 ≤ d/ -5
What is an algebraic expression?An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.
They are described as expressions made up of arithmetic operations which includes;
ParenthesesSubtractionAdditionMultiplicationDivisionBracket, etcGiven the expression;
46. |2x + 5| = 3x
Take the absolute value, we have;
2x + 5 = 3x
collect like terms
2x - 3x = - 5
-x = -5
x = 5
48. (3h + 8) + 2 = 13
expand the bracket
3h + 8 + 2 = 13
collect like terms
3h = 13 - 10
3h = 3
Make 'x' the subject of formula
h = 1
50. Seven is at most the quotient of a number d and -5.
This is expressed as;
7 ≤ d/ -5
Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
square root 5(square root10+square root 2
Answer:
(Decimal: 10.233345)
Step-by-step explanation:
√5(√10+√2
√5(√10+√2)
=√10+5√2(Decimal: 10.233345)
Solve the compound inequality. 2x-4 > 8 or 3x-1 < -10
-3 < x < 6
x > 6 or x < -3
x > 2 or x < -3
x < 6 or x < -3
The solution to the compound inequality is x > 6 or x < -3
How to solve compound inequality?An inequality is a mathematical expression that has <, >, ≤ and ≥.
A compound inequality is an inequality that combines two simple inequalities.
Therefore, let's solve the compound inequality as follows:
2x - 4 > 8 or 3x - 1 < - 10
2x - 4 > 8
add 4 to both sides of the inequality
2x - 4 + 4 > 8 + 4
2x > 12
divide both sides by 2
x > 12 / 2
x > 6
3x - 1 < - 10
add 1 to both sides of the inequality
3x - 1 + 1 < - 10 + 1
3x < - 9
divide both sides by 3
x < -9 / 3
x < -3
Therefore, x > 6 or x < -3
learn more on inequality here: https://brainly.com/question/23012774
#SPJ1
The solution to the compound inequality will be; x > 6 or x < -3
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two functions in an problem.
A compound inequality is defined as an inequality that combines two simple inequalities.
Therefore, solve the compound inequality that will be;
2x - 4 > 8 or 3x - 1 < - 10
2x - 4 > 8
Then add 4 to both sides of the inequality so,
2x - 4 + 4 > 8 + 4
2x > 12
Now, divide both sides by 2
x > 12 / 2
x > 6
3x - 1 < - 10
Again, add 1 to both sides;
3x - 1 + 1 < - 10 + 1
3x < - 9
Then divide both sides by 3;
x < -9 / 3
x < -3
Therefore, solution to the compound inequality is; x > 6 or x < -3
learn more on inequality here:
brainly.com/question/23012774
#SPJ1
Write the equation of the line that passes through the given points.
1,2.5) and (0,-1.5)
Answer:
y = 4x - 1.5
Step-by-step explanation:
We need to find the slope (m) and the y-intercept (b), if we are writing this in the slop intercept form of a line.
y =mx + b
The slope is the change in y over the change in x.
The two points give us the y's ad x's
The y's are: -1.5 and 2.5
The x's are: 0 and 1
[tex]\frac{-1.5 - 2.5}{0-1}[/tex] = [tex]\frac{-4}{-1}[/tex] = 4 A negative divided by a negative is a positive.
We have the slope. The slope is the point (0,b). We are given that point.
(o, -1.5) The y-intercept is -1.5
y =mx + b
y = 4x - 1.5
3. a sociologist wishes to estimate the percentage of u.s. citizens living in poverty. what sample size should be obtained if she wishes the estimate to be within 2% points (the error) with 99% confidence if she uses the year 2000 estimate of 11.8% poverty obtained from the census?
The sample size is 1727 points for given data . Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population .
In this question we want to find the sample size and so let's, look at the formula that is given by, the value at over 2, divided by a margin of error, whole squared times p into 1 minus p.
N= ( Z ₐ / E)² p (1-p)
In this case , Z --> Z-Score
E --> error value
P --> estimated proportion or if given standard deviations
Given that, estimate error is 2% that is margin (E) = 2% = 2/100 =0.02
Now, what we have is our confidence level and our made error, so our estimate has been given us 2 percent or confidence level is 99 percent. Now, let's get our Z values, so we use alpha(a) to find out. For alpha value 1 minus 0.99 , we get 0.01. now we are going to be 0.01 divide by 2 and get 0.005 . So, the corresponding value of Z ₀.₀₀₅ is 2.576 . The only value of p is 11.8% (year 2000 estimate ) of what is required for getting an answer
= 118/1000= 0.118
Finally, we put all these values into formula of sample size , i.e.,
N= ( 2.576 / 0.02)² (0.118 )(1- 0.118) = 1726.56 1727
Our sample size is , 1727 point.
To learn more about Sample Size , refer:
https://brainly.com/question/15901889
#SPJ4
v - 4 > 22 solve the inequality of v and simplify your answer as much as possible. plsssss do this!!!
Answer:
v > 26
Step-by-step explanation:
v > 22 + 4
v > 26
there is no qouificient ( I don't know how to spell that) of v so that's your answer
2x+14= -21-5x
Need to find out what x is but a step by step explanation please
Answer:
Step-by-step explanation:
solve for x
2x+14=-21-5
2x+14=-26
subtract 14 from both sides
2x+(14-14)=-14-26
2x=-14-26
2x=-40
divide both sides of 2x = -40 by 2
[tex]\frac{2x}{2} =\frac{-40}{2}[/tex]
2/2=1
x=[tex]\frac{-40}{2}[/tex]
x= -20
Write an equation in point-slope form for the line through the two points. Then change it toslope-intercept form. Rewrite the equation in standard form.10. (1, 2) and (3, 12)11. (6, 2) and (-2,-2) 12. (4,1) and (1,4)Please help I have sooo many assignments (:
For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is
[tex]m=\frac{-2-1}{-1-0}=\frac{-3}{-1}=3[/tex]and the line equation will be:
[tex]y-1=3x\Rightarrow y=3x+1[/tex]For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:
[tex]m=\frac{-1-0}{0-(-1)}=\frac{-1}{1}=-1[/tex]and the line equation will be:
[tex]y=-1(x-(-1))\Rightarrow y=-x-1[/tex]For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero
Jonah and Makayla are on a scuba diving tour of a reef. Jonah is at a depth of –20 feet and ascending at a rate of 0.25 foot per second. Makayla is at a depth of –12.5 feet and descending at a rate of 0.5 foot per second. Solve the equation 2(−20+0.25s)=−12.5−0.5s to find how many seconds s it will take for Makayla to be twice as deep as Jonah. Enter your answer as an integer or decimal.
It will take 28.5 seconds to Makayla to be twice as deep as Jonah.
What is an equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15.
Given,
Jonah is at a depth of -20ft.
Makayla is at a depth of -12.5ft.
at the rate of descending is 0.5.
Given equation is
2(-20+0.25s) = -12.5-0.5s
-40 + 0.5 s = -12.5 -0.5s
0.5s + 0.5s = -12.5+40
1s = 28.5
Hence, the solution of the equation is 1s = 28.5.
To know more about an equation, visit:
https://brainly.com/question/18131106
#SPJ9
If -8x-y=-9 is a true equation, what would be the value of -8x-y+3
Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99.
The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the premium skins be p.
Let the number of tools be t.
This will be illustrated as:
(2.99 × p) + (4.99 × t) = 25
2.99p + 4.99t = 25
This illustrates the equation.
The complete question is given below.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?
Standard Questions
Question Progress
The average mass of a man is 84 kg and of a woman is 70 kg.
A lift can safely carry 720 kg.
Work out the maximum number of people the lift can safely carry.
We need to know simple division to solve the problem. The maximum number of men in the lift is 8 and the maximum number of women in the lift is 10.
We will be using the simple concept of division to find the number of people that the lift can carry. The average weight of a man is given to be 84 kg and the average weight of a woman is given to be 70kg. The lift can carry 720 kg, we will find separately the number of men and women that can be carried in the lift. Inorder to find the maximum number of men we divide the total weight the lift can carry by the average weight of a man, we will similarly calculate the maximum number of women.
number of men= 720/84=8.57 which means that the number of men is 8
number of women =720/70=10.28 which means that number of women is 10.
Therefore the lift can carry at most 8 men and at most 10 women.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
A) What percentage of the cars are black?
B) 7 out of 12 black cars are new,express this value as a percentage rounding to two
decimal places.
C) What fraction of the cars were red?
D) Express the number of red cars as a percentage rounding to two decimal places?
Step-by-step explanation:
The total number of cars=24
Number of black cars=12
Divide 12 by 24,multiplied by 100%
12÷24 ×100=50%
Therefore, 50% of the cars are black
I inserted a picture because it was too much to type but please, if you answer try and do it fast. It's homework.
Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:
Angela - 5 cups of flour Jaleel - 6 ²/₃ cups of flourHow to find the amount of flour needed?Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.
The number of cups of sugar needed per cup of flour is:
= Change in sugar / Change in flour
= (3 - 1.5) / (2 - 1)
= 1.5 cups of sugar
The amount of flour needed would be:
= Number of cups of sugar / Cups of sugar per cup of flour
= 10 / 1.5
= 6 ²/₃ cups of flour
Angela's recipe shows that the cups of sugar needed per cup of flour is:
= (2 - 0) / (1 - 0)
= 2 cups of sugar
This means that with 10 cups of sugar, the amount of flour needed is:
= 10 x 1/2
= 5 cups of flour
Find out more on cups of sugar needed at https://brainly.com/question/2126748
#SPJ1
(2,-9) reflected over the y-axis
The new point is (-2, -9).
What happens when a point is reflected about an axis?
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
Given, the point to be reflected is : A : (2, -9)
Also, the axis through which the point is to be reflected is y-axis.
Following the statement established in the literature, we have:
The point (2, -9) when reflected over the y-axis, the x-coordinate is assumed to be the additive inverse, thus the new co-ordinate is (-2, -9).
The new point is (-2, -9).
To learn more about reflection of points, tap on the link below:
https://brainly.com/question/12130378
#SPJ13
"Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?" Please help meee
Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?
Let
x ------> students enrolled last year
we have that
100%+10%=110%=110/100=1.10
so
528=1.10x
solve for x
x=528/1.10
x=480
answer is 480 studentsMrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?A) B = G + 11 and B + G = 28B) G = B + 11 and B + G = 28C)B = G – 11 and B + G = 28D)B + 11 = G and B + G = 28
Mrs. Brown has 11 more boys than girls in her class
[tex]B=G+11[/tex]Total of 28 students.
[tex]B+G=28[/tex] The final answerOption AAnswer:
A) B = G + 11 and B + G = 28
Step-by-step explanation:
Mandrel has 15 electronic books and 24 education CDs. He gives 5 books and 12 CDs to his nephew. What
ratio of each did he give to his nephew? Are the ratios proportional?
Answer:
10:12
Step-by-step explanation:
15-5=10
24-12=12
og ratio is 15:24
new ratio is 10:12
A line contains the points (-21,-94) and
(-34,-172).
What is the slope of the line in simplified form?
Find the value of each variable
Answer:
Step-by-step explanation:
since they are verticle angles:
8x+7=9x-4
subtract 8x and add 4
x=11
30, 32, 37, 54, 67, 38, 44 what are the lower and upper bounds to identify an unusual data point. (use up to the first decimal place for your calculation: example 14.2)
The lower and upper bounds are 16.7 and 69.5 respectively.
So, the numbers are 30, 32, 37, 54, 67, 38, and 44.
In order to determine the lower bound and upper bound
Mean x' =Σ[tex]\frac{x}{n}[/tex] = 302/7 = 43.1429 = 43.1
Variance [tex]s^{2}[/tex] =Σ[tex]\frac{(x-x')^{2}}{n-1}[/tex] = 1048.86/(7-1) = 174.80952
Standard deviation = √174.80952 = 13.221555 = 13.2
Values that deviate more than two standard deviations from the mean are exceptional.
[tex]x -2s = 43.1 - 2*13.2 = 16.7[/tex] is the lower bound for uncommon values.
The upper bound that is exceptional is equal to
[tex]x + 2s = 43.1 + 2(13.2) = 69.5[/tex]
Therefore, 16.7 and 69.5 are the lower and upper bounds of given data
To learn more about Standard deviation click here:
brainly.com/question/13905583
#SPJ4
Which of the following rational functions is graphed below?
Answer: A.
Step-by-step explanation:
1. The function is even (symmetric about the y-axis)
2. The function F(x) is positive
[tex]\displaystyle\\Hence,\\F(x)=\frac{1}{x^2}[/tex]
9. Determine whether the following graph is a function or a relation.
Answer: Relation
Step-by-step explanation: it is a relation because if you take any number on the x axis and look at its points there are two points on multiple parts
3.21. a causal lti system has the following system function:(2(a) what is the roc for h(z)? (b) determine if the system is stable or not. (e) determine the difference equation that is satisfied by the input x[n) and the output yin. (d) use a partial fraction expansion to determine the impulse response h[n].
The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.
What is meant by the roc for h(z)?When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.
The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .
The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.
To learn more about roc for h(z) refer to:
https://brainly.com/question/15992302
#SPJ4
Determine the missing coordinate in the orderd pair (?,-3) so that it will satisfy the given equation. Answer: (______,-3). consider the following equation.4x+3y=7
if we replace y for -3 in the given equation and then we despejate x, we wiil going to have a values for the ordered pair that satisfy the equation:
[tex]4x+3(-3)=7[/tex]then
[tex]4x-9=7\Rightarrow4x=7+9\Rightarrow4x=16\Rightarrow x=\frac{16}{4}=4[/tex]the ordered pair woul be (4,-3)
You are planning to place a bet on your local sports team, the red sparrows. the sparrow's have a past record of 4-5 (4 wins, 5 losses) at this venue. however you also know that their record is 2-7 in games where it rains and it has rained at 60% of their games this season. 4 if the red sparrows win their game what is the probability that it rained at that game?
The probability that it rained at that game is 0.49.
Probability is the the ratio of a particular event with total number of event. It tells the possibility that an event can occur.
Probability that it rains P(R) = 0.60
probability that it won't rain P(R') = 1-0.60
= 0.4
Red sparrows have a past record of 4 wins and 5 loses when it does not rain, that is
P( winning/R') = 4/9 (win% = 4/total that is 5+4 which is 9)
P( lose/R') = 5/9 (lose % = 5/total)
When it rain the past record is 2 wins and 7 loses
P( win/R ) = 2/9
P( lose/R ) = 7/9
P (win) = P(R)*P(win/R) + P(R')*P(win/R')
= 4/9*0.4 + 2/9*0.6
If red sparrows win, then the probability that it rained at game
P (R/win) = P ( R η win) / P (win)
= 0.49
Therefore, we can conclude that the the probability that it rained at that game is 0.49.
To learn more about probability
visit: brainly.com/question/11234923
#SPJ4
What is the value of pi
Answer:
the value of pi is 3.14159
Devon is saving to buy a telescope. If he saves 7$ a week for 14 weeks which equation can be used to fund the total cost
Answer: Multiply 7 and 14
Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong
Answer:
Step-by-step explanation:
Step 1: Assume your variables
We can see that the money is being saved on a weekly basis.
So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]
And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]
Step 2: Manipulate the variables according to the information given
$7 is being saved each week.
So, in one week, [tex]\$7[/tex] is saved.
In two weeks, [tex]\$(7\times 2)[/tex] is saved.
So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.
Step 3: Create the equation
In words, the equation will be as such:
Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks
Upon representing this mathematically, we get:
[tex]y=7\times x\\y=7x[/tex]
The equation [tex]y=7x[/tex] can be used to find the total cost.
Can someone please help answer this question on simultaneous equations?
Answer:
1 knife cost £6.6
Step-by-step explanation:
Simultaneous equation is;
4x = y ----------(equation 1)
12y + 16x = 105.64 ----------- (equation 2)
Rewrite equations:
4x=y;16x+12y=105.64
Step: Solve4x=yfor y:
4x=y
4x+−y=y+−y(Add -y to both sides)
4x−y=0
4x−y+−4x=0+−4x(Add -4x to both sides)
−y=−4x
−y/−1 = −4x/−1
(Divide both sides by -1)
y=4x
Step: Substitute 4x for y in 16x+12y=105.64:
16x+12y=105.64
16x+124x=105.64
64x=105.64(Simplify both sides of the equation)
64x/64 = 105.64/64
(Divide both sides by 64)
x=1.650625
Step: Substitute 1.650625 for x in y=4x:
y=4x
y=(4)(1.650625)
y=6.6025(Simplify both sides of the equation)
1 knife cost = 4x = 4(1.65) = 6.6
∴ 1 knife cost £6.6
Find the mean of the data in the dot plot below.
Answer:
There is no dot plot below
Step-by-step explanation:
Find the area of the entire region round two decimal places
SOLUTION.
The area of the entire region will be to find the area of the isosceles triangle and the semi-circle.
[tex]\begin{gathered} \text{Area of the triangle is } \\ =\frac{1}{2}\times a\times b\times\sin \theta \\ \text{Where } \\ \text{where a and b are two sides and }\theta=angle\text{ betwe}en\text{ the two sides } \end{gathered}[/tex]Then
[tex]\begin{gathered} =\frac{1}{2}\times8\times8\times\sin 72.6 \\ =32\sin 72.6 \\ =30.54\text{unit}^2 \end{gathered}[/tex]The area of the isosceles triangle is 30.354 square units
We need to obtain the diameter of the semi-circle using the cosine rule
We need to obtain the value of x,
[tex]\begin{gathered} x^2=8^2+8^2-2(8)(8)\cos 72,6 \\ x^2=128-128\cos 72.6 \\ x^2=128-38.27 \\ x^2=89.72 \end{gathered}[/tex]Take square root of both sides, we have
[tex]x=\sqrt[]{89.72}=9.74[/tex]Hence, the diameter is 9.74
Then the radius will be
[tex]r=\frac{9.74}{2}=4.87[/tex]The area of the semi-circle is
[tex]\begin{gathered} =\frac{1}{2}\pi r^2 \\ =\frac{1}{2}\times3.14\times4.87^2 \\ =37.24\text{unit}^2 \end{gathered}[/tex]The area of the semi circle is 37.42 square units
Therefore the area of the region will be
[tex]\begin{gathered} =\text{Area ot triangle + Area of semi circle } \\ =30.54+37.42 \\ =67.96uniits^2 \end{gathered}[/tex]Thus
The area of the region is 67.96 units²
