Answer:
There are 26 different possible outcomes. the probability of the computer choosing the first letter of your name is 1 out of 26.
A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2 = 0.8 can be used to find the sale price. Which statement does the equation represent?
A. Decreasing the original price by 20% is the same as dividing the original price by 80%.
B. Decreasing the original price by 80% is the same as dividing the original price by 20%.
C. Decreasing the original price by 20% is the same as multiplying the original price by 80%
D. Decreasing the original price by 80% is the same as multiplying the original price by 20%.
Answer:
d
Step-by-step explanation: 0.2 x 100% = 102.1/ 20%= d
look below and can i have brainlyplus Start with the original price, $80.
If you take 20% off, then you will be paying 80% of the original price. Calculate 80% of $80.
80% of $80 = 80% * $80 = 0.8 * $80 = $64
After applying the 20% discount, the new price is $64.
Now you apply the 10% coupon.
Since you are taking 10% off the discounted price, you will be paying 90% of the discounted price.
90% of $64 = 0.9 * $64 = $57.6
The final discounted price is $57.60
Step-by-step explanation:
Curtis wants to save money for a trip overseas. Curtis invests 800 in an account that pays an interest rate of 6.25%. How many years will it take for the account to reach $10800? round your answer to the nearest hundredth
Answer:
the answer is 42.93
Step-by-step explanation:
just did it
12. What is the probability that a point in the square below
is in the shaded region? Write your answer as a
percent.
Answer:
[tex]21.5\%[/tex]
Step-by-step explanation:
we know that
The probability that a point in the square below is in the shaded region, is equal to divide the area of the shaded region by the area of the square
step 1
Find the area of the shaded region
The area is equal to the area of the square minus the area of the circle
[tex]A=b^{2} -\pi(r)^{2}[/tex]
we have
[tex]b=12\ cm[/tex] ---> length side of the square
[tex]r=12/2=6\ cm[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=12^{2} -(3.14)(6)^{2}[/tex]
[tex]A=30.96\ cm^{2}[/tex]
step 2
Find the area of the square
[tex]A=b^{2}[/tex]
we have
[tex]b=12\ cm[/tex] ---> length side of the square
substitute
[tex]A=12^{2}=144\ cm^{2}[/tex]
step 3
Find the probability
[tex]P=30.96/144=0.215[/tex]
Convert to percent form
[tex]0.215*100=21.5\%[/tex]
PLEASE HELP!!! ASAP
An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.
The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.
Make sure to use complete sentences in your answers.
1. $8.15 + $11.99
2. $20 - $18.04
3. 7($1.45)
4. $42.08/4
I need help on this question
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Compare the ratio of the measure of corresponding sides, that is
AB = 6 and A'B' = 2
BC = 3 and B'C' = 1
Calculate the ratio of A'B'C' to ABC, then
scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
0.004 REOCCURRING AS A FRACTION
Answer:
1/250
Step-by-step explanation:
Final answer:
To convert the recurring decimal 0.004 into a fraction, you can set up an equation by writing 0.004 = x and solve for x to find the fraction.
Explanation:
To convert the recurring decimal 0.004 into a fraction, we need to understand the concept of converting decimals to fractions. We can do this by setting up an equation where the decimal is equal to a fraction, and then solving for the fraction. In this case, we can set up the equation 0.004 = x, where x is the fraction we're trying to find. To eliminate the decimal, we can multiply both sides of the equation by 1000, which gives us 4 = 1000x. Now, we can divide both sides of the equation by 1000 to solve for x, which gives us x = 4/1000. Simplifying the fraction gives us x = 1/250. Therefore, the recurring decimal 0.004 can be written as the fraction 1/250.
solve for x 5/
6X equals 10 / 3
Answer:
[tex]\large\boxed{x=\dfrac{1}{2}=0.5}[/tex]
Step-by-step explanation:
[tex]\dfrac{5}{6x}=\dfrac{10}{3}\qquad\text{cross multiply}\\\\(6x)(10)=(5)(6)\\\\60x=30\qquad\text{divide both sides by 60}\\\\x=\dfrac{30}{60}\\\\x=\dfrac{1}{2}[/tex]
An Internet store charges a base fee plus $1.50 per pound to ship items. The table shows samples of their shipping rates.
Shipping Rates
Weight of Package Shipping Cost
(pounds) (dollars)
2 8.00
5 12.50
7
9 18.50
10
17 30.50
Derek wants to ship items that weigh a total of 7 pounds, and Keisha wants to ship items that weigh a total of 10 pounds. How much more does Keisha pay for shipping than Derek?
A)$4.50
B)$6.00
C)$9.50
D)$12.00
Answer: For Last Question 4.50
Step-by-step explanation:It depends on the price per pound. Let's say the price per pound is 50 cents (or 0.50). (This is an example, the answer I'm giving will most likely NOT be correct, due to the nature of your question - sorry!) To calculate the price of Derek's package, you would multiply 7 (the weight of the package) by 0.50 (the price per pound), which totals to 3.50 Next, to calculate the price for Keisha's package, you'd do the same thing, but instead of multiplying 7 by the price per pound, you would multiply 10 by the price per pound, or 0.50. This multiplies out to 5 dollars. Next you'd subtract Derek's price from Keisha's, which is 5 - 3.50 or 1.50. If it is asking for a percentage, it would be about 150%.
find the volume of the prism.
a)152.4cm^3
b)158.3cm^3
c)163.9cm^3
d)167.1cm^3
Answer: option a
Step-by-step explanation:
You can calculate the volume of a prism with this formula:
[tex]V_{prism}=lwh[/tex]
Where l is the lenght, w is the width and h is the height.
You can identify from the figure that:
[tex]l=12cm\\w=5cm\\h=2.54cm[/tex]
Then, substituting these values into the formula, you get that the volume of this prism is:
[tex]V_{prism}=(12cm)(5cm)(2.54cm)=152.4cm^3[/tex]
Answer:
Final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]
Step-by-step explanation:
Given that length of the prism = 12 cm
Given that width of the prism = 5 cm
Given that height of the prism = 2.54 cm
Then volume of the rectangular prism is given by formula:
[tex]Volume = (Length)(Width)(Height)[/tex]
[tex]Volume = (12 cm)(5 cm)(2.54 cm)[/tex]
[tex]Volume = 152.4 \, cm^3[/tex]
Hence final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]
A cylinder container at the grocery store is rotated so the label is facing the front of a display. What is the change in volume?
Zilch, none.
the volume of the box is the same, it simply just sideways for the sake of display.
what is greater..? 9.92 , 9.82 , 9.83 or 9.81 ?
9.92
You must look at which number has the decimal closest to 9.99
Here are the numbers in order from least to greatest
9.81, 9.82, 9.83, 9.92
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: 9.92
Step-by-step explanation: If you had $9.92, $9.82, $9.83 or $9.81. the most amount of money there is $9.92 because it is the closest to $10. which is more money than the least amount $9.81
What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?
For this case, to find the roots of the function, we equate to zero.
[tex]x ^ 3 + 2x ^ 2-x-2 = 0[/tex]
We rewrite how:
[tex]x ^ 3 + 2x ^ 2- (x + 2) = 0[/tex]
We factor the maximum common denominator of each group:
[tex]x ^ 2 (x + 2) -1 (x + 2) = 0[/tex]
We factor the polynomial, factoring the maximum common denominator[tex](x + 2):[/tex]
[tex](x + 2) (x ^ 2-1) = 0[/tex]
By definition of perfect squares we have to:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
ON the expression[tex](x ^ 2-1):[/tex]
[tex]a = x\\b = 1[/tex]
So:
[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]
Thus, the factorization of the polynomial is:
[tex](x + 2) (x + 1) (x-1) = 0[/tex]
[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
ANswer:[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
What is the value of x?
A. 13
B. 17
C. 119
D. 169
Answer:
13
Step-by-step explanation:
x² = 5²+12²
x² = 25+144
x² = 169
x² = 13²
x = 13
Solve (square root 6)^8x= 216^x-3
Answer:
x=-9
Step-by-step explanation:
(square root 6)^8x= 216^(x-3)
Rewriting sqrt(6) as 6^1/2
6^1/2^8x = 216^(x-3)
We know a^b^c = a^(b*c)
6^(1/2*8x) = 216^(x-3)
6^(4x) = 216^(x-3)
We know 216 = 6^3
6^(4x) = 6^3^(x-3)
We know a^b^c = a^(b*c)
6^(4x) = 6^(3*(x-3))
6^(4x) = 6^(3x-9)
Since the bases are the same, the exponents have to be the same
4x = 3x-9
Subtract 3x from each side
4x-3x =3x-3x-9
x = -9
Please someone help i really need it :( The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue, or green. The likelyhood of drawing a green pencil is now greater than the likelyhood of drawing a red pencil, but less than the likelyhood of drawing a blue pencil.
What is the question?
I would say there would be 5 blue pencils, 4 green pencils, and 2 red pencils. I say this because the chance of grabbing a green pencil is smaller than the blue, and the chance of grabbing a red one is smaller than the green one, as a result, we are left wit 5 blue pencils, 4 green pencils, and 2 red pencils.
Solve using the quadratic equation for all values of x in simplest form !! Please answer this !!
Answer:
Step-by-step explanation:
simplify both sides of the equation
-x^2+16=-7
subtract 16 form both sides
-x^2= -23
divide by -1
x^2=23
take square root
and your answer is x= plus or minus (square root) of 23 or -23
Answer:
Step by STEP explanation
what is the solution to the proportion 5/9=m/54
Answer:
m = 25/9
Step-by-step explanation:
To solve for m, we must make the equation look like m=?
Since m is divided by 54, we can multiply both sides by 54 to make it have a coefficient of 1. So now our equation looks like:
m = 5/9 * 5
So m = 25/9
Answer: The answer to your question is m=30
Step-by-step explanation: When you are trying to solve proportions, you must cross multiply. The problem will now look like this:
5/9= m/54 (original problem)
[tex]\frac{5}{9}= \frac{m}{54}[/tex]
9m=270
Divide by 9 on both sides
9m= 270/9
m=30
Therefore, the solution to the proportion is 30. Hope this helps!!!
And please mark my answer as the Brainliest
An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the sun's rays and the ground?
Answer:
The angle is 50.2°.
Step-by-step explanation:
The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.
Therefore the angle θ formed by the sun's rays and the ground is:
[tex]\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}[/tex]
The angle formed by the sun's rays and the ground can be found using trigonometry and it is approximately 50.19°
Given: length of tree is 18 ft. and the shadow of tree is 15 ft.
To find: angle formed by suns rays and the ground
This question involves using trigonometry to find the angle formed by the sun's rays and the ground. We can use the tangent function which is:
[tex]\tan \theta = \frac{\text{perpendicular}}{\text{base}}[/tex]
Here the perpendicular is the length of the tree, base is the shadow of the tree and θ is the angle formed by suns rays and ground. So, plugging the values we get:
[tex]\tan \theta = \frac{18}{15}[/tex]
We see that 15 and 18 have 3 as a common factor so we can divide the numerator and denominator by 3 to simply the fraction and we get:
[tex]\tan \theta = \frac{6}{5} = 1.2[/tex]
To find the angle, we take the inverse tangent of the ratio:
[tex]\theta = tan^{-1} (1.2)[/tex]
θ ≈ 50.19°
Thus, the angle formed by the sun's rays and the ground is approximately 50.19°.
Provide the correct answer for the problem shown below.
Answer:
z = -5
Step-by-step explanation:
The LCD in this problem is 6. Thus, we have (2/6)z = -5/6 + (1/6)z.
Combining like terms, we have (1/6)z = -5/6.
Multiplying both sides by 6 isolates z as desired:
z = -5
Right triangle ABC is shown
Which equation can be used to solve for c?
3 m
sin(509) = 3
O sin(509=
O cos(50°) =
cos(509)=
Answer:
[tex]\sin (50\degree)=\frac{3}{c}[/tex]
Step-by-step explanation:
The given triangle is a right triangle with a given angle which is [tex]50\degree[/tex].
The side opposite to the 50 degree angle is 3 meters.
The hypotenuse is 'c' units.
We can use the sine ratio to obtain:
[tex]\sin (50\degree)=\frac{opposite}{hypotenuse}[/tex]
[tex]\sin (50\degree)=\frac{3}{c}[/tex]
Therefore the correct answer is A.
The required equation can be used to solve for c is sin 50 = 3/c
SOH CAH TOA identityFrom the figure shown, the measured sides are:
Opposite = 3mHypotenuse = cm<B = 50 degreesUSing the SOH CAH TOA identity
sin theta = opp/hyp
sin 50 = 3/c
Hence the required equation can be used to solve for c is sin 50 = 3/c
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Find the area of the circle with the given radius or diameter. Use pi = 3.14.
r = 4
A =
50.24 sq. units
100.48 sq. units
25.12 sq. units
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=4 \end{cases}\implies A=\pi 4^2\implies A=16\pi \implies \stackrel{\pi =3.14}{A=50.24}[/tex]
Answer:
50.24 sq units
Step-by-step explanation:
Find volume of cylinder
Show work
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
A: It is the radius of the cylinder
h: It's the height
We have according to the data that:
[tex]r = \frac {34} {2} = 17 \ m\\h = 27 \ m[/tex]
Substituting in the equation we have:
[tex]V = \pi * (17) ^ 2 * 27\\V = \pi * 289 * 27\\V = 24501.42\ m^3[/tex]
ANswer:
[tex]V = 24501.42\ m^3[/tex]
the ratio of boys to girls in the class was 3:5. if there were 24 total kids in the class, how many girls were there?
Colleen can paint a room in 12 hours.Rebecca can paint the same room in 20 hours.How long does it take for both Colleen and Rebecca to paint the room if they are working together? Write an equation that using the variable t to represent the time it takes to paint the room together that can be used to solve the problem.
The answer is:
It will take 7.5 hours to paint the room together.
Why?Using the given information we need to write an equation considering both Colleen and Rebecca rates.
For Colleen we know that she can paint a room in 12 hours, so, her equation will be:
[tex]\frac{1Room}{12hours}*t=\frac{t}{12}[/tex]
Being "t" the time used to paint.
For Rebecca, we know that she can paint a room in 20 hours, so, her equation will be:
[tex]\frac{1Room}{20hours}*t=\frac{t}{20}[/tex]
Now, if we want to calculate the time needed to paint 1 room, we have:
[tex]\frac{t}{12}+\frac{t}{20}=1\\\\\frac{12*t+20*t}{12*20}=1\\\\\frac{12t+20t}{240}=1\\\\\frac{32t}{240}=1\\\\32t=240*1\\\\t=\frac{240}{32}=7.5[/tex]
Hence, we have that it will take 7.5 hours to paint the room together.
Have a nice day!
Determine the coordinates of the y-intercept of 5x − 5y = 4
Final answer:
The coordinates of the y-intercept of 5x − 5y = 4 are (0, -4/5).
Explanation:
The y-intercept of a linear equation represents the point where the line intersects the y-axis. To determine the coordinates of the y-intercept, we set the x-coordinate to 0 and solve for y. In the equation 5x - 5y = 4, To determine the coordinates of the y-intercept of the equation 5x − 5y = 4, we set the x-value to 0 since, by definition, the y-intercept occurs where the line crosses the y-axis (x=0). The equation simplifies to -5y = 4. we substitute x=0 and solve for y:
5(0) - 5y = 4
-5y = 4
y = -4/5
Therefore, the coordinate of the y-intercept is (0, -4/5).
write an equation for the circle with center(-1,-5) and Radius 4sqrt3
Answer:
(x + 1)² + (y + 5)² = 48
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 1, - 5) and r = 4[tex]\sqrt{3}[/tex], so
(x - (- 1))² + (y - (- 5))² = (4[tex]\sqrt{3}[/tex] )², that is
(x + 1)² + (y + 5)² = 48 ← equation of circle
Simplify the following.
7^1=
4^0=
6^-1=
Answer:
7
1
0.1666666667
The following exponents can be simplified as follows:
[tex]7^1=7[/tex][tex]4^0=1[/tex][tex]6^-1=1/6[/tex]What are exponents?The exponent of a number says how many times to use the number in a multiplication.
For example: 8 to the Power 2( or 8^2)
In 8^2 the "2" says to use 8 twice in a multiplication,
so 8^2 = 8 × 8 = 64
In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared".
So coming to the question:
a) 7^1 = 7 times 1 from definition that 7*1=7
b)To prove this one, I will go with the property of exponents:
[tex]a^{(b-c)}=\dfrac{a^b}{a^c}[/tex]
implies:
[tex]4^0=4^{(2-2)}=\dfrac{4^2}{4^2} =1[/tex]
c)Applying the previous property:
[tex]6^{-1}=6^{0-1}=\dfrac{6^0}{6^1}=\dfrac{1}{6}[/tex]
Therefore, with the help of definitions and property of exponent, we can simplify it.
To know more about properties of exponent refer to:
https://brainly.com/question/3187898
#SPJ2
Does the graph represent a function and if so, why?
Yes, no two ordered pairs on this graph have the same second element.
Yes, there is more than one ordered pair on this graph.
Yes, no two ordered pairs on this graph have the same first element
No, there is a limited number of ordered pairs on this graph
ANSWER
Yes,no two ordered pairs on this graph have the same first element
EXPLANATION
For a set of ordered pairs to be a function,there must not be any two points that have the same first elements.
This means that, the x-coordinates must not repeat for any two given points.
The graph given represents a function because,no two ordered pairs on this graph have the same first element.
Hence it would pass the vertical line test.
The third choice is correct.
The correct answer is: Yes, no two ordered pairs on this graph have the same second element.
To determine if a graph represents a function, one must apply the Vertical Line Test. This test states that a graph represents a function if no vertical line intersects the graph at more than one point. In other words, for every input (x-value), there is exactly one output (y-value). This is equivalent to saying that no two ordered pairs on the graph have the same first element (x-value) and different second elements (y-values).
The statement Yes, no two ordered pairs on this graph have the same second element correctly describes the condition for a graph to represent a function. It implies that for every y-value, there is only one x-value associated with it, which is the definition of a function.
The other options are incorrect for the following reasons:
- Yes, there is more than one ordered pair on this graph. While this statement may be true, it does not address the condition necessary for a graph to represent a function. A graph with multiple ordered pairs could still fail to be a function if any vertical line intersects the graph more than once.
- Yes, no two ordered pairs on this graph have the same first element. This statement is not relevant to the definition of a function. A function can have the same x-value associated with different y-values (which would be multiple ordered pairs with the same first element). The key is that for each x-value, there can only be one y-value.
- No, there is a limited number of ordered pairs on this graph. The number of ordered pairs being limited does not affect whether the graph represents a function. A function can have a finite or infinite number of ordered pairs. The defining characteristic is that there is exactly one output for each input, not the total number of ordered pairs.
Therefore, the correct justification for the graph representing a function is that no two ordered pairs on the graph have the same second element, ensuring that the graph passes the Vertical Line Test.
HELP!
Data Set #6-Number of students in 7th grade Math live session 45,52,60,40,35,28,40,54,58
Median=
Mode=
Mean=
Range=
Answer=
Arrange the numbers in order from smallest to largest:
28, 35, 40, 40, 45, 52, 54, 58, 60
Median is the middle value = 45
Mode is the number that appears most = 40
Mean is the average. Add the numbers and divide:
412/9 = 45.77 = 45.78
Range is difference between highest and lowest = 60 - 28 = 32
How many 2/3 cup servings of rice are in a 6 cup bag
Answer:
9
Step-by-step explanation:
namely, how many times does 2/3 go in 6?
[tex]\bf 6\div\cfrac{2}{3}\implies \cfrac{6}{1}\div\cfrac{2}{3}\implies \cfrac{6}{1}\cdot \cfrac{3}{2}\implies \cfrac{3}{1}\cdot \cfrac{6}{2}\implies 3\cdot 3\implies 9[/tex]