3/4 is 70% of what number, Let the number is x:
So, the expression will be :
70% of x = 3/4
[tex]\begin{gathered} \text{ 70\% of x = }\frac{3}{4} \\ \frac{70\times x}{100}=\frac{3}{4} \\ 70x=\frac{3}{4}\times100 \\ x=\frac{3\times100}{4\times70} \\ x=\frac{300}{280} \\ x=\frac{30}{28} \\ x=\frac{15}{14} \\ x=1.07142 \end{gathered}[/tex]x = 1.07142
The number is 1.07142
Please help on average rate of change!
The average rate of change on the interval [-1, 2] is 1/3.
How to get the average rate of change?For any function f(x), we define the average rate of change on an interval [a, b] as:
r = ( f(b) - f(a))/(b - a)
In this case, the function is graphed, and the interval is [-1, 2]
On the graph we can see that:
f(-1) = -3
and
f(2) = -2
Replacing these we will get:
r = ( f(2) - f(-1))/(2 - (-1))
r = (-2 + 3)/(3) = 1/3
The average rate of change is 1/3.
Learn more about average rates of change:
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Hello, may I please have help with this problem. Thank you.
Hello! We can solve this exercise using proportionality.
Let's look at the triangles:
In the smallest, there are two sides with measurement which equals 16.
In the biggest, there are the same sides but with another measurement: 20.
Knowing that we know that the biggest triangle follows the same structure as the smallest, but a teeny bit bigger, right?
So, as we can say that they follow the same proportionality, let's equal them:
[tex]\begin{gathered} \frac{16}{20}=\frac{24}{n} \\ \\ \text{multiplying accross, we will get:} \\ 16.n=24.20 \\ 16n=480 \\ n=\frac{480}{16} \\ n=30 \end{gathered}[/tex]So, n = 30.
Another way:
we know that the same side before measured 16 and now measures 20, so we can write the proportion: 16/20.
If we simplify this fraction we will get 4/5, or in decimal, 0.8.
Now, we will divide the previous measure of the long side by this obtained proportion:
[tex]\frac{24}{0.8}=30[/tex]Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?-5-4-3-2 -1 01+4123on++at-5-2+ o+1-1234501-5-4-3+o-2-1+1N+W+A+5++-5-4-3-2+o-1NT1345
To find the solution, lets first simplify the inequality:
[tex]undefined[/tex]Samson buys a newcomputer for class. Thecomputer costs $550, aswell as an additional tax of10.2%.How much does he pay forthe computer?
The cost of the computer is: $550
The additional tax is: 10.2%
To find the final cost of the computer, first, we need to find how much is the tax of 10.2%.
Step 1. Calculate how much is 10.2% of $550.
In general, to calculate a percentage we divide the quantity by 100 and then multiply by the percentage we need. In this case:
[tex]\frac{550}{100}\times10.2[/tex]Solving the operations:
[tex]5.5\times10.2[/tex][tex]=56.1[/tex]The tax is $56.1
Step 2. Add the cost of the computer and the tax to find how much he paid for the computer:
[tex]550+56.1=606.1[/tex]Answer: $606.1
solve the system of equations and choose the correct ordered pair. 2x - 6y = 85x - 4y = 31
We have
[tex]\begin{gathered} 2x-6y=8\text{ (1)} \\ 5x-4y=31\text{ (2)} \end{gathered}[/tex]we must solve the system of equations
First, we will solve for x the first equation
[tex]\begin{gathered} 2x-6y=8 \\ 2x=8+6y \\ x=\frac{8}{2}+\frac{6}{2}y \\ x=4+3y \end{gathered}[/tex]Then, we must replace the value of x in the second equation
[tex]\begin{gathered} 5(4+3y)-4y=31 \\ 20+15y-4y=31 \\ 11y=11 \\ y=\frac{11}{11} \\ y=1 \end{gathered}[/tex]Finally, we replace the value of y in the equation that we solved for x
[tex]\begin{gathered} x=4+3(1) \\ x=4+3 \\ x=7 \end{gathered}[/tex]So, the correct ordered pair is (7, 1)
In JKL, LJ K L and mZK = 26Find mZJ.
From the information given, we can draw a triangle.
A rough drawing of the triangle is shown below:
Find the answers to fill in blank 1. And blank 2.
EXPLANATION:
We are given the linear equation;
[tex]y-4=3(x+1)[/tex]To graph this equation, we would begin by re-writing the equation in the slope-intercept form, which is;
[tex]y=mx+b[/tex]To do this, we first expand the parenthesis;
[tex]y-4=3x+3[/tex]Next we add 4 to both sides;
[tex]y-4+4=3x+3+4[/tex][tex]y=3x+7[/tex]We can now begin to plot the various points on the line. Starting from, x = -2 we would have;
[tex]\begin{gathered} x=-2: \\ y=3(-2)+7 \\ y=-6+7 \\ y=1 \end{gathered}[/tex]We can now go on and plot other points depending on the limit imposed by the graph page.
However, what we have here shows the coordinates from which we may begin;
ANSWER:
[tex]\begin{gathered} (-2,1) \\ That\text{ is;} \\ x=-2,y=1 \end{gathered}[/tex]The graph shows the distance Kendrick walks in different lengths of time.How many kilometers does Kendrick walk per hour?5kilometersHow long does it take Kendrick to walk 111 kilometer?hours
Solution
For this case we can do this:
[tex]\frac{10-5}{2-1}=\frac{5\operatorname{km}}{hr}[/tex]5 kilometers
We have the following equation
Km = m*hours
hours= 1km/ (5km/hr) =0.2hr
The measure of angle 1 is greater than 97 degrees and at most 115. Graph the possible values of x.
We are given the following:
Angle 1 is greater than 97 degrees and at most 115 degrees
The angle alternate to angle 1 is "(9x +7)"; alternate angles are congruent
Using the information above, we will develop the inequality shown below:
[tex]\begin{gathered} 97^{\circ}10 \\ x>10 \\ \\ \therefore x>10 \end{gathered}[/tex]We will proceed to the second portion of the inequality. We have:
[tex]\begin{gathered} (9x+7)\le115^{\circ} \\ 9x+7\le115 \\ \text{Subtract ''7'' from both sides, we have:} \\ 9x\le115-7 \\ 9x\le108 \\ \text{Divide both sides by ''9'', we have:} \\ \frac{9}{9}x\le\frac{108}{9} \\ x\le12 \\ \\ \therefore x\le12 \end{gathered}[/tex]We will combine both inequalities into one. We have it thus:
[tex]\begin{gathered} x>10 \\ x\le12 \\ \text{Combining the inequalities, we have:} \\ 10We will proceed to plot this inequality on the number line as shown below:I need help answering it I don’t know howTo do it
Okay, here we have this:
Considering the provided graph we obtain that:
Recall that the slope is undefined when lines are vertical. So in this case we can see that this description is fulfilled, therefore, finally we obtain that the Type of slope is Undefined
Create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answers to four decimal places. If an answer does not exist, enter DNE.)
Answer:
Explanations:
Given the limit of the function expressed as:
[tex]\begin{gathered} \lim _{n\to0}\frac{\sin8x}{x} \\ f(x)=\frac{\sin 8x}{x} \end{gathered}[/tex]First, we need to create a table for the given values in the table:
If x = -0.1
[tex]\begin{gathered} f(-0.1)=\frac{\sin8(-0.1)}{-0.1} \\ f(-0.1)=\frac{\sin(-0.8)}{-0.1} \\ f(-0.1)=0.1396 \end{gathered}[/tex]If x = -0.01
[tex]\begin{gathered} f(-0.01)=\frac{\sin8(-0.01)}{-0.01} \\ f(-0.01)=\frac{\sin(-0.08)}{-0.01} \\ f(-0.01)=0.1396 \end{gathered}[/tex]If x = -0.001
[tex]\begin{gathered} f(-0.001)=\frac{\sin8(-0.001)}{-0.001} \\ f(-0.001)=\frac{\sin(-0.008)}{-0.008} \\ f(-0.001)=0.1396 \end{gathered}[/tex]From the values above, we can conclude that the values of f(x) will all tend to be 0.1396 for the positives values of x
Therefore, we can conclude that as you approach the value 0 from the positive and negative directions, they approach the same value, hence the limit does exist.
Hello I need help with this here please, I was studying but I can’t get this
ANSWER
B. False
EXPLANATION
The Pythagorean Theorem states that the sum of the squares of the two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c:
[tex]c^2=a^2+b^2[/tex]And this theorem is true for all right triangles.
Hence, this statement is false.
can you please help me
we have the equation
y=-4x+4
this is the equation of the line in slope intercept form
where
the slope is m=-4 ----> is a negative slope
the y-intercept is b=4
that means
the y-intercept is the point (0,4)
Find out the x-intercept
For y=0
0=-4x+4
4x=4
x=1
x intercept is (1,0)
therefore
the answer is
a line that slopes down
2cuestionAngelique is buying towels for her apartment. She finds some green towels, x, that cost $5 each and bluetowels, y, that cost $9 each. She wants to buy at least 4 towels, but does not want to spend more than$38. How many of each towel can she purchase?Enter the system of inequalities that represents the situation. Then select the graph of the system andselect one possible solution.The system of inequalities
x: green towels (each one cost $5)
y: blue towels (each one cost $9)
She wants to buy at least 4 towels:
[tex]x+y\ge4[/tex]She does not want to spend more than $38:
[tex]5x+9y\leq38[/tex]The sytem of inequalitites is:
[tex]\begin{gathered} x+y\ge4 \\ 5x+9y\leq38 \end{gathered}[/tex]Graph: First inequality in red, second inequality in blue
Solution: Area shaded of both colours
[tex]undefined[/tex]“Rewrite the following expression with the fewest terms possible:14x + 6 - 12x + 9y - 1” i need help.please?
Given the following expression:
[tex]14x+6-12x+9y-1[/tex]You must simplify it if you want to rewrite it with the fewest terms possible.
To simplify the expression you must add the like terms (or combine like terms). Like terms are defined as those terms whose variables and exponents are the same.
Based on the above, you can add the like terms in the expression as following:
[tex]14x+6-12x+9y-1=(14x-12x)+9y+(6-1)=2x+9y+5[/tex]The answer is:
[tex]2x+9y+5[/tex]At a coffee shop, the first 100customers' orders were as follows.SmallMediumLargeHot54822Cold8125What is the probability that a customerordered a small given that he or sheordered a hot drink?P(Small | Hot ) = [?]Round to the nearest hundredth.
Explanation
The probability of P(Small | Hot ) is easily observable from the table. This is given as
[tex]\begin{gathered} P(Small|Hot)=\frac{5}{5+48+22}= \\ =\frac{5}{75} \\ =0.07 \end{gathered}[/tex]The final answer is 0.07
Hello! Thank you for helping me today, I need a little bit of assistance to understand the rest of this question please. (This is is not an active test, it is a book I am studying in order to take the ASVAB in a couple of weeks.)Options;A: 1/8B: 1/7C: 1/6D: 1/4
GIVEN:
We are told that in a certain class, 3 out of 24 students are in student organizations.
Required;
What is the ratio of students in student organizations to students not in student organizations?
Step-by-step solution;
We shall begin by dividing the entire students into the two given groups, and that will be;
In student organizations = 3
Not in student organizations = 21
Total number of all students = 24
To determine the ratio of one value to the other, we express them as follows;
[tex]\begin{gathered} Ratio\text{ }of\text{ }x\text{ }to\text{ }y=x:y \\ \\ OR \\ \\ Ratio\text{ }of\text{ }x\text{ }to\text{ }y=\frac{x}{y} \end{gathered}[/tex]Therefore, to express the ratio of students in organizations to students not in organizations, we will have;
[tex]\begin{gathered} Ratio=\frac{3}{21} \\ \\ Ratio=\frac{1}{7} \end{gathered}[/tex]ANSWER:
Therefore, the correct answer is option B
Five students, Stella, Victoria, Alexander, Eva, and Hunter, line up one behind theother. How many different ways can they stand in line?
Permutations formula
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]where n things are chosen r at a time.
In this case, we need to find the number of permutations of n = 5 students chosen r = 5 at a time. That is,
[tex]\begin{gathered} _5P_5=\frac{5!}{(5-5)!} \\ _5P_5=\frac{5!}{0!} \\ _5P_5=\frac{5\cdot4\cdot3\cdot2\cdot1}{1} \\ _5P_5=120 \end{gathered}[/tex]They can stand in line in 120 different ways
A triangle has a 30 degree angle and two sides that are each 6em in length. Select ALL the statements below that are TRUE1. The triangle might be an equilateral triangle (having all the same sides and angles) 2. One of the angles in triangle must be 120 3. The length of the third side must be 11cm or smaller4. One of the angles in the triangle might be 50
The value of x can be determined as,
[tex]\begin{gathered} x+30+30=180 \\ x=120 \end{gathered}[/tex]In triangle ABC,
[tex]\begin{gathered} BCThus, option (2) is the correct solution.Using only the values given in the table for thefunction, f(x), what is the interval of x-values over whichthe function is increasing?Х-6-5-4-3-2.-101f(x)343-10-11-6-1-2-15O (-6,-3)O (-3,-1)O (-3,0)O (-6, -5)
Given the table:
Х f(x)
-6 34
-5 3
-4 -10
-3 -11
-2. -6
-1 -1
0 -2
1 -15
Let's find the increasing intervals.
A function is increasing over the interval when the values of f(x) increases as the values of x increases.
At the interval:
From x = -3 to x = -1, the values of f(x) increases from -11 to -1.
Therefore, the interval of x-values over which the function is increasing is:
(-3, -1)
ANSWER:
(-3, -1)
Ben has a basket of 5 red socks, 3 yellow socks, and 2 green socks. What is the theoretical probability that if he randomly selects a sock from the basket it will be red?
the probability of pen being red is,
[tex]p=\frac{^5C_1}{10C_1}[/tex][tex]p=\frac{5}{10}=\frac{1}{2}=0.5[/tex]so the answer is 0.5
Find a standard deviation of the binomial for which N = 420 and P = 0.90. Answer choices 37.86.153786.2
The standard deviation σ is given by:
[tex]\begin{gathered} \sigma=\sqrt{np(1-p)} \\ \text{ Where} \\ p=\text{ the probability of success} \\ n=\text{ number of trials} \end{gathered}[/tex]Substitute n = 420 and p = 0.90 into the formula:
[tex]\sigma=\sqrt{420\cdot0.90(0.10)}\approx6.15[/tex]Hence the correct answer is 6.15
Second Choice
solve each inequality graph and check the solution (JUST NUMBER 8)
ANSWER
p ≤ -3
EXPLANATION
To solve this inequality first we have to subtract 5 from both sides:
[tex]\begin{gathered} 2-5\ge5-5+p \\ -3\ge p \end{gathered}[/tex]That's the solution, but we can flip it to see it more clearly:
[tex]p\le-3[/tex]To graph this, we have to draw a line from -3 to the left. Usually we have to draw a filled circle on -3, to indicate that that value is included in the solution.
Write a ratio and a percent for the shaded area. A 3/10, 27% B. 1/2, 50% c. 1/3, 33.33% D. 3/10,30%
The total number of squares is 6x6 = 36
the number of squares of the shaded area is 3x4 = 12
RatioWe find the ratio by dividing those two quantities:
[tex]\frac{12}{36}=\frac{1}{3}[/tex]PercentageWe find the percentage by multiplying the result by 100%
[tex]\frac{1}{3}\times100=0.333\times100=33.33[/tex]Answer: C. 1/3 = 33.33%Students in a science class recorded lengths of a stretched spring as shown in the table. Find the rate of change and explain what it means for this situation.
To find the rate of change;
Rate of change = change in y / change in x
= 10-0/ 2-0
=10/2
=5/1
=5
This means that the increase in w
A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the standard deviation of the data. Round your answer to the nearest hundredth, if necessary.
The Solution:
Given:
We are required to find the standard deviation of the given data.
Find the sample mean of the given data.
Find the standard deviation of the data.
Therefore, the correct answer is 68.07
The triangle ABC shown on the coordinate plane below,is dilated from the origin by scale factor= 1/2. what is the location of triangle A'B'C'?
Explanation:
With a dialation about the origin of a scale factor of 1/2 every point of the dialated figure is now one half of the points from the original figure:
[tex](x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y)[/tex]We have this points:
• A: (3, 4)
,• B: (-7, 2)
,• C: (2, 2)
The new coordinates of these points will be:
Answer:
• A': (1.5, 2)
,• B': (-3.5, 1)
,• C': (1, 1)
Select all that apply. What value(s) for x make(s) the equation true?-8y - 2 = -8y - 2
According to the given data we have the following equation:
-8y - 2 = -8y - 2
In order to calculate the value(s) for x make(s) the equation true we would have to calculate variable y as follows:
We would substitute the y with the values 0, -15, 37, 343
So, if we substitute for 0
-8(0)-2=-8(0)-2
0-2=0-2
-2=-2
value for x=0 applies.
if we substitute for -15
-8(-15)-2=-8(-15)-2
120-2=120-2
118=118
if we substitute for 37
-8(37)-2 +8(37)+2=0
-296-2 +296+2=0
if we substitute for 343
-8(343) -2 +8(343)-2=0
You're going to the mall with your friendsand you have $200 to spend from yourrecent birthday money. You discover astore that has all jeans for $25 and alldresses for $50. You really, really want totake home 6 items of clothing because you"need" that many new things. How manypairs of jeans and how many dresses youcan buy so you use the whole $200 (taxnot included)?
Given that:
- You have $200 to spend.
- The store sells all jeans for $25 and all dresses for $50.
- You want to take home 6 items of clothing.
Let be "j" the number of jeans and "d" the number of dresses you can buy so you use the whole $200 (not including the tax).
Set up this System of Equations using the data provided in the exercise:
[tex]\begin{cases}j+d=6{} \\ 25j+50d={200}\end{cases}[/tex]You can follow these steps in order to solve the System of Equations using the Elimination Method:
1. You can multiply the first equation by -25:
[tex]\begin{cases}-25j-25d={-150} \\ 25j+50d={200}\end{cases}[/tex]2. Add the equations:
[tex]\begin{gathered} \begin{cases}-25j-25d={-150} \\ 25j+50d={200}\end{cases} \\ ------------ \\ 0j+25d=50 \\ 25d=50 \end{gathered}[/tex]3. Solve for "d":
[tex]\begin{gathered} d=\frac{50}{25} \\ \\ d=2 \end{gathered}[/tex]4. Substitute the value of "d" into the first original equation and solve for "j":
[tex]\begin{gathered} j+(2)=6 \\ j=6-2 \\ j=4 \end{gathered}[/tex]Hence, the answer is: You can buy 2 dresses and 4 jeans.
micah runs a lemonade stand.He sells large cups of lemonade for$0.50 and small cups of lemonade for$0.35.Create an expression represents how much money he could earn
Answer:
The expression for the amount of money in dollars he could earn is;
[tex]0.50x+0.35y[/tex]Explanation:
Let x represent the number of cups of large cups of lemonade he sell and
y represent the number of cups of the small cups of lemonade he sell.
Given that;
He sells large cups of lemonade for $0.50
and small cups of lemonade for $0.35.
The amount he will male by selling x cups of large cups of lemonade and y cups of small cups of lemonade is;
[tex]0.50x+0.35y[/tex]The expression for the amount of money in dollars he could earn is;
[tex]0.50x+0.35y[/tex]Answer:
the dude above me is wrong this is the right answer 0.85(l + s)
Step-by-step explanation:
