The store sells a total of 18 types of chairs (this is the sum of all the types of chairs in the two way frequency table). From this table we notice that only two of them are filled with beads and made from velvet. Then the probability of choosing this is:
[tex]P=\frac{2}{18}=\frac{1}{9}[/tex]Therefore the probability is 1/9
Solve the following system of equations by graphing. Graph the system below and enter the solution set as an ordered pair in the form (x,y).if there are no solutions enter none and inter all if there are infinite solutions X + 2y = 3 2x + 4y =12
System of equations:
[tex]x+2y=3[/tex][tex]2x+4y=12[/tex]To solve the system by graphing, we have to remember that the point in which both graphs meet is the solution of the system.
• Graph of both equations:
As we can see, there is no point in which both meet. Then, this system has no solution.
Answer: none
Mr. Alvarez is laying square paver blocks in sections in rows that look like steps.Section 1 has 3 rows that look like steps, the section is 6 blocks wide, and the bottom step is 8 blocks long. Section 2 has 4 rows that look like steps, the Section is 8 blocks wide, and the bottom step is 10 blocks long. Each Section after that is 2 blocks wider and 2 blocks longer.Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
12
14
36 blocks
56 blocks
108 blocks
Explanation:The length of section 1 = 8
The length increases by 2 uits as the section increases
Section 2 length of block = length of section 1 + 2 =
= 8 + 2
length of block = 10
Section 3 length of block = length of section 2 + 2
= 10 + 2
length of block = 12
Section 4 length of block = length of section 3 + 2
= 12 + 2
length of section = 14
Number of blocks needed:
if the blocks are counted,
For section 1 there are 6 rows . So we count the total number of blocks on each of them
= 4 + 4 + 6 + 6 + 8 + 8
Section 1 = 36 blocks
For section 2, we count the number of blocks on each row
= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10
section 2 = 56 blocks
For sectoion 3: The length and width increases by 2 respectively
previous length + 2 = 10 + 2 = 12
Due to the increase we would have two length of 12
= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80
Already given = 80
For section 4: The length and width increases by 2 respectively
previous length + 2 = 12 + 2 = 14
The increase causes an addition of two length of 14 blocks
Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14
Total blocks for Section 4 = 108
Which of the following are rational numbers?A) 42/91B) 10.27C) 8.14 D) 0
It's important to know that a rational number can be expressed as fractions, but also when they are expressed as decimals, the decimal part repeats infinitely, that is, it has a pattern or finite decimal digits.
Having said that, we can deduct that all the answer choices are rational numbers.The currency in Kuwait is the Dinar. Theexchange rate is approximately $3 forevery 1 Dinar. At this rate, how manyDinars would you get if you exchanged$54?
It is given that the exchange rate is $3 per Dinar. It is required to find how many Dinars you will get if $54 is exchanged.
Since 1 Dinar is equivalent to $3, it follows that the number of Dinars equivalent to $54 is:
[tex]\frac{54}{3}=18\text{ Dinar}[/tex]The answer is 18 Dinar.
Using the rotation R, can you create a function R(ABCD) that is equivalent to the reflection of ABCD across both the x-axis and y-axis?
The reflection over the x-axis is given by:
[tex]R(x,y)\to(-x,y)[/tex]And the reflection over the y-axis is given by:
[tex]R(x,y)\to(x,-y)[/tex]Thus, a function that is equivalent to the reflection of ABCD across both axis would be:
[tex]R(x,y)\to(-x,-y)[/tex]Identify the property of real numbers illustrated in the following equation.(-5) + (y · 7) = (y · 7) + (-5)
By definition, the commutative property of addition says that changing the order of addends does not change the sum, which is precisely what the equation is trying to show by changing the order of the sum, therefore, the property illustrated is the commutative property of addition.
Hi, can you help me to solve this problem, please!!
In this problem, we have a vertical parabola open downward
that means
the vertex represents a maximum
looking at the graph
the maximum has coordinates (1,9)
therefore
the vertex is (1,9)the difference of twice h and 5 is as much as the sum of h and 4
The value of h by solving the given relationship we get, h = 9
In the above question, a word problem is given with the following relations which are as
First we'll express the given word problem statements into mathematical equation expressions
Therefore, The difference of twice of h and 5 is as much as the sum of h and 4
It can be written as in mathematical equation form as
2h - 5 = h + 4
Now, we need to find the value of h by solving the above mathematical equation formed put of the given relationship
Here,
2h - 5 = h + 4
2h - h = 5 + 4
h = 9
Hence, The value of h by solving the given relationship we get, h = 9
To learn more about, word problems here
https://brainly.com/question/2610134
#SPJ1
Rectangle R measures 18 in by 6 in. Rectangle S is a scaled copy of Rectangle R. Select all of themeasurement pairs that could be the dimensions of Rectangle S.24 in by 8 in9 in by 3 in2 in by 1 in6 in by 2 in3 in by 2 in
In order to find possible dimensions for the scaled rectangle, the proportion between the dimensions of the rectangles must be the same.
So first let's find this proportion for rectangle R:
[tex]\frac{18}{6}=3[/tex]Now, let's find the proportion of the possible options of rectangle S:
[tex]\begin{gathered} \frac{24}{8}=3 \\ \\ \frac{9}{3}=3 \\ \\ \frac{2}{1}=2 \\ \\ \frac{6}{2}=3 \\ \\ \frac{3}{2}=1.5 \end{gathered}[/tex]So the correct options are the first, second and fourth options.
There are 12 freshman 6 sophomores 12 juniors and 16 seniors. What percentage of club members are sophomores
Answer:
13% (rounded)Step-by-step explanation:
12 + 6 + 12 + 16 = 46
46 total students
out of those 46 students, 6 are sophomores
so put that into a fraction it becomes
[tex]\frac{6}{46}[/tex]
which equals
0.130434783
which in percentage is
13.0434783%
or 13% rounded
I NEED CORRECT ANSWER 100 POINTS ONLY ANSWER CORRECTLY
A line passes through the points (7,9) and (10,1). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
[tex]y-9=-\dfrac{8}{3}(x-7)[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]
Define the given points:
(x₁, y₁) = (7, 9)(x₂, y₂) = (10, 1)Substitute the defined points into the slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{1-9}{10-7}=-\dfrac{8}{3}[/tex]
[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]
Substitute the found slope and one of the points into the point-slope formula:
[tex]\implies y-9=-\dfrac{8}{3}(x-7)[/tex]
How do you solve this??
Answer:
12-3X=X-3=5
Step-by-step explanation:
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS!!!!!!
Jimmy ran 20 meters west
from home and then turned
north to jog 25 meters. Jimmy
ran 45 meters, but could have
arrived at the same point by in
a straight line. How many
meters could he have using a
line distance?
A. 3.5 meters
B. 7 meters
C. 32 meters
D. 45 meters
Answer:
32 meters
Step-by-step explanation:
If Jimmy ran straight from his house, the answer wouldnt be 45 because thats what he did originally when he ran a longer route from his home. 3.5 and 7 meters are too short because he ran at least 25 based off of when he turned from the West. 32 is the only reasonable answer because it would be a shorter distance than 45 meters but longer than 25 because of the route he takes in a straight line.
Answer:
here is the answer to your question
hope you get it well
(30 points) Solve for the missing side of the triangle. Round to the hundredths place if needed.
Answer:
[tex]6 \sqrt{6} [/tex]
Step-by-step explanation:
The square value of hypotenuse is equal to the square value of sum of the two legs:
[tex] {15}^{2} + {x}^{2} = {21}^{2} [/tex]
225 + x^2 = 441 subtract 225 from both sides
x^2 = 216 find the root of both sides
x = 6√(6)
The baker has 305 cakes to send to the farmers market. If he can pack up to 20cakes in a crate for shipping, what is the minimum number of boxes required toship all of the cakes. Explain your reasoning.
We have 305 cakes. As we know
i inserted a picture of the question state whether it’s a b c or d please don’t ask tons of questions yes i’m following
The possible values for any probability are between zero and one. With this in mind we conclude that A, B, C and E are allowed probabilities
What is the solution to the equation below? Round your answer to two decimal places.ex = 5.9A.x = 124.50B.x = 1.77C.x = 365.04D.x = 0.77
We have the next given equation:
[tex]e^x=5.9[/tex]Now, we can solve for x using the exponent's properties:
Add both sides ln:
[tex]\ln e^x=\ln5.9[/tex]With the ln we can take down the exponent and simplify ln*e = 1.
Hence,
[tex]\begin{gathered} x=\ln(5.9) \\ x=1.77 \end{gathered}[/tex]Hence, the correct answer is option B.
Determine the largest integer value of x in the solution of the following inequality.
Answer:
From the solution the largest possible integer value of x is;
[tex]-6[/tex]Explanation:
Given the inequality;
[tex]-x-1\ge5[/tex]To solve, let's add 1 to both sides of the inequality;
[tex]\begin{gathered} -x-1+1\ge5+1 \\ -x\ge6 \end{gathered}[/tex]then let us divide both sides of the inequaty by -1.
Note: since we are dividing by a negative number the inequality sign will change.
[tex]\begin{gathered} \frac{-x}{-1}\leq\frac{6}{-1} \\ x\leq-6 \end{gathered}[/tex]Therefore, From the solution the largest possible integer value of x is;
[tex]-6[/tex]
Solve for x(2x+3)(3x-2)=(3x+3)(2x-2)
To solve for x, we need to apply distributive property as:
[tex]\begin{gathered} \left(2x+3\right)\left(3x-2\right)=\left(3x+3\right)\left(2x-2\right) \\ 2x\cdot3x+2x\cdot(-2)+3\cdot3x+3\cdot(-2)=3x\cdot2x+3x(-2)+3\cdot2x+3\cdot(-2) \\ 6x^2-4x+9x-6=6x^2-6x+6x-6 \\ 6x^2+5x-6=6x^2-6 \\ 6x^2+5x-6+6=6x^2-6+6 \\ 6x^2+5x=6x^2 \\ 6x^2+5x-6x^2=6x^2-6x^2 \\ 5x=0 \\ x=0 \end{gathered}[/tex]Answer: x = 0
Austin and carly despoit 500.00 into a savings account which earns 1% interest compounded monthly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend
EXPLANATION
Let's see the facts:
Austin and Carly deposit: $500
Interest rate= 1%
Compounding period = monthly
Total number of years = 2
Given the Compounding Interest Rate formula:
[tex]\text{Compound amount = P (1+r/n)\textasciicircum{}nt}[/tex]n is the compounding period
t is the number of years
r is te interest rate in decimal form
Replacing the given values will give us:
[tex]\text{Compound amount = 500 (1+}\frac{0.01}{12})^{12\cdot2}[/tex]Solving the power:
[tex]\text{Compound amount = 500 }\cdot1.020192843[/tex][tex]\text{Compound amount = \$510.09}[/tex]Answer: Austin and Carly will be able to spend $510.09.
Sally started on the 12th floor. She walked up 4 flights. Then she went down 2 flights. Then she ran up 8 flights of stairs. a) Write an ADDITION expression b) What floor did she end up on? SHOW ALL WORK!
1) Gathering the data
Initial point 12th floor
2) She started on 12th floor and walked up 4 flights of stairs, assuming from each floor to another we have just 1 flight of stair. And we're using an addition expression, Hence, we can say:
12 +4-2+8=
16 +6
22
She ended up on the 22th floor
If the cost of a car is $6,345.00, and the tax rate is 6%, how much is the total cost of the car?
Given:
Cost of Car is $6,345
Tax rate is 6%
[tex]\begin{gathered} \text{Tax Amount=6345}\times\frac{6}{100} \\ \text{Tax Amount= \$380.70} \end{gathered}[/tex][tex]\begin{gathered} \text{Total cost of the car =6345+380.70} \\ \text{Total cost of the car = \$6725.70} \end{gathered}[/tex]Use compatible numbers.4,921 ÷ 63
Given:
The objective is to divide the 4921÷ 63 using compatible numbers.
Explanation:
First, the compatible numbers are,
[tex]\begin{gathered} 4921=4920 \\ 63=60 \end{gathered}[/tex]To calculate division:
Now, the division can be performed as,
Hence, the value of the division is 82.
Identify the property of equality that justifies the missing step to solve the given equation.Equation3x + (1 - 8) = 124r-I8 = 12StepsOriginal equationAssociative property of addition4r= 20r=5Division property of equalitya. subtraction property of equalityb. addition property of equalityc. division property of equalityd. multiplication property of equality
From the attached image;
[tex]4x-8=12[/tex]The next step is to add 8 to both sides of the equation to remove -8.
[tex]\begin{gathered} 4x-8+8=12+8 \\ 4x=20 \end{gathered}[/tex]Since we added to the equation.
The step is an addition property of equality
Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here isthe distribution of the students:
Solution:
a) 0.38
b)0.36
c)0.33
Analysis:
a)Studying a language other than English: In this case, we add all probabilities of the chart, except None (Because that is people don't study a la
A square paddock has an area of 7140.25m².
How long is each side?
Answer:
it's 84.5 m ...................
A car can travel 28 miles per gallon of gas. How far can the car travel on 8 gallons of gas?
A car can travel 28 miles per gallon of gas. How far can the car travel on 8 gallons of gas?
Applying proportion
28/1=x/8
solve for x
x=(28)*8
x=224 miles
the answer is 224 milesPlot the point (3,3)
Step-by-step explanation:
Plot the point (3,3):
this means where x = 3 and y = 3
Answer:
solve the quadratic equation below.3x^2-9=0
What is the slant height and surface area of the pyramid
we have that
The surface area of the pyramid is equal to the area of its square base plus the area of its four triangular faces
step 1
Find out the area of the square base
A=15^2
A=225 ft2
step 2
Find out the area of one triangular face
the area of a triangle is equal to
A=(1/2)(b)(h)
we have
b=15 ft
h ----> is the slant height
To find out the slant height, apply the Pythagorean Theorem
h^2=10^2+(15/2)^2
h^2=100+56.25
h=12.5 ft
therefore
A=(1/2)(15)(12.5)
A=93.75 ft2
step 3
The surface area is equal to
SA=225+4(93.75)
SA=600 ft2 and the slant height is 12.5 ft