Answer:
1- Add 15 to both sides
2- 3x - 15 = 27
3- Already answered
4- 3x = 42
5- Divide both sides by 3
x = 14
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5
Answer:
Use the distributive property to multiply 2 by x−1.
l2x-2I=11
2x-2=-11
Add 2 to both sides of the equation.
2x=-9
Divide both sides by 2.
x=13/2
That's the final answer
Hope u have a great day!!
Best way to solve this type of equation Ax+by=c
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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I need help with this question. Please & thank you!
B
dividing with the same numbers and different exponents is like subtracting the exponents
16-8 = 8
What is the quotient of 2.538\times 10^92.538×10
9
and 2.7 \times 10^22.7×10
2
expressed in scientific notation?
IF U DON"T KNOW THE ANSWER DON"T ANSWER & work it out plss
The quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation is : 0.94 × 10^6.
Scientific notationGiven:
2.538 × 10^ 9 and 2.7 × 10^ 2
We have to first of all formulate before determining the scientific notation
(2.538 × 10^ 9) ÷ (2.7 × 10^2)
Rewrite as fraction
2.538 × 10^9 ÷ 2.7 × 10^2
simplify
2.538 ÷ 2.7 × 10^ 9-2
= 2.538 ÷ 2.7 × 10^7
Convert the fraction to decimal
0.94 × 10^7
Now let express it in scientific notation
Scientific notation = 94 × 10^6
Therefore the scientific notation is 94 × 10^6.
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The correct question is:
What is the quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation
a
b
Note: Figure is not drawn to scale.
What is the volume of the figure above if a = 3 units and b = 6 units?
OA
54 cubic units
ОВ.
81 cubic units
OC
135 cubic units
OD.
63 cubic units
Reset
Next Question
here to search
o
BI
a
The volume of the figure is 54 cubic units
Area of a rectangular prism.Since we are not given a figure, we can assume it as a rectangular prism:
Area of the rectangular prism = a²b
a² is the base areab is the height of the prismGiven that a = 3 units and b = 6 units, the required volume is expressed as:
V = 3² * 6
V = 9 * 6
V = 54 cubic units
Hence the volume of the figure is 54 cubic units
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How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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simply 3 (sqrt(c^2)) if c is > or equal to 0I can upload a picture
Recall that:
\(\begin{gathered} \text{For all x}\in\R \\ \sqrt[]{x^2}=|x|\text{.} \end{gathered}\)Therefore:
\(3\sqrt[]{c^2}=3|c|\text{.}\)Now, since c≥0, we get that:
\(|c|=c\text{.}\)Substituting the above result in 3|c| we get:
\(3\sqrt[]{c^2}=3c\text{.}\)Answer:
\(3c\text{.}\)Use π = \frac{22}{7}: Henry bought exactly the right amount of fencing to put around his circular herb garden, which has a diameter of 14 feet. Then he decides to make the garden larger by doubling the diameter. How much more fencing does Henry need to purchase to enclose the new garden?
The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
What is Circumference?Circumference is distance around edge of circular object. It is same as perimeter of circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.
The circumference of circle with diameter d is given :
C = πd
Using the given diameter of 14 feet, the circumference of the original garden is:
C1 = πd1 = (22/7) * 14 = 44 feet
When the diameter is doubled to 28 feet, the circumference of the new garden is:
C2 = πd2 = (22/7) * 28 = 88 feet
To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:
C2 - C1 = 88 - 44 = 44 feet
Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
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Jose hopes to earn $600 in interest in 4.8 years time from $30,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places.
Answer
The annual rate of interest have to be 3.87%.
How to determine the annual rate of interest?Mathematically, compound interest can be calculated by using this formula:
A = P(1 + r/n)^{nt}
Where:
A represents the future value.P represents the principal.r represents the interest rate.n represents the number of times compounded.T represents the time measured in years.Making the interest rate (r) the subject of formula, we have:
r = n[(A/P)^{1/nt} - 1]
Note: A = SI + P = 600 + 30,000 = $36,000
Substituting the given parameters into the formula, we have;
Interest rate, r = 1[(36,000/30,000)^{1/1 × 4.8} - 1]
Interest rate, r = [(1.2)^{0.20833333333} - 1]
Interest rate, r = [1.0387 - 1]
Interest rate, r = 0.0387
Interest rate, r = 3.87%.
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Find the value of x. x + 0.6 = -1 *
Step-by-step explanation:
state whether each of the following equations represent growth or decay.
Answer:
ehhh Pfouto math ni
dali raka AA yooo
first person to answer will get brainliest.
Answer:
the first one because x's don't repeat in this one
Step-by-step explanation:
Find the missing angle x. Show your work.
Calc II Question
Find the average value of the function on the given interval
F(x) = sin4x, [-pi, pi]
Correct answer is 45/28 but I'm not sure how to get to that answer
Answer:
0
Step-by-step explanation:
\(\displaystyle \frac{F(b)-F(a)}{b-a}\\\\=\frac{F(\pi)-F(-\pi)}{\pi-(-\pi)}\\\\=\frac{\sin(4\pi)-\sin(-4\pi)}{2\pi}\\\\=\frac{0-0}{2\pi}\\\\=0\)
Not sure how the correct answer is stated as 45/28, but the answer is definitely 0.
What was the decision in the Korematsu v. United States case?
A. Korematsu won and the Japanese internment was deemed unconstitutional
B. Korematsu lost, and the internment was deemed necessary and not discrimination
C. Korematsu lost and was given life in prison as punishment
D. Korematsu won, and was personally let free
Answer:
B. Korematsu lost, and the internment was deemed necessary and not discrimination
Step-by-step explanation:
Give me brainliest if that helped :)
The circumference of a circle is 81.64 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer
Answer:13
Step-by-step explanation:
r = circumference/2pi
81.64/6.28 = 13
The radius of the garden is 13 units.
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Please someone help me plz help
Answer:
x = 5
Step-by-step explanation:
Angles in a triangle add up to equal 180
Hence, 10x - 1 + 78 + 53 = 180
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
10x - 1 + 78 + 53 = 180
Combine like terms
10x + 130 = 180
Subtract 130 from both sides
10x = 50
Divide both sides by 10
x = 5
2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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1. Simplify the expression below.
-5(3x) + x
A. -15x
B. – 13x
C. -14x
D. –15 + x
Answer:
i think it's D or B. i hope this helps I didn't really know what to do
f(x)=3/2x-3 g(x)=5x+4 determine where f(x)=g(x)
Answer:
x = -2
Step-by-step explanation:
I am not sure you typed this correctly.
the way you wrote this, it says
f(x) = (3/2)x - 3
but I suspect you mean
f(x) = 3/(2x) - 3
our even
f(x) = 3/(2x - 3)
I assume the last one.
3/(2x - 3) = 5x + 4
that is what is meant by f(x)=g(x) : find out the value(s) of x for which the y/result values of both functions are the same.
so, then we can transform
3 = (5x + 4)×(2x - 3)
3 = 10x² -15x + 8x - 12
10x² - 7x - 15 = 0
and this can be solved by the solution squared equations :
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = 10
b = -7
c = -15
so,
x = (7 ± sqrt(49 - 4×10×-15))/20 = (7 ± sqrt(49+600))/20 =
≈ (7 ± 25.48)/20
x1 = -18.48/20
x2 = 32.48/20
these are really not nice numbers for a homework or such.
so, let's try the next interpretation of what you wrote.
f(x) = 3/(2x) - 3
3/(2x) - 3 = 5x + 4
3/(2x) = 5x + 7
3 = 10x² + 14x
10x² + 14x - 3 = 0
a = 10
b = 14
c = -3
x = (-14 ± sqrt(196 - 4×10×-3))/20 =
= (-14 ± sqrt(196 + 120))/20 = (-14 ± 17.78)/20
that did not give any good numbers either.
so, next attempt :
f(x) = (3/2)x - 3 = 3x/2 - 3
3x/2 - 3 = 5x + 4
3x/2 = 5x + 7
3x = 10x + 14
7x = -14
x = -2
ok, so it seems the first, original interpretation was correct. sorry.
but just in case, please use the other 2 approaches if and as needed.
¿Cuantas permutaciones pueden hacerse con la palabra columna?
Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
5) If point M is (-3,-1) and point P is (2,8), what is the y-coordinate of the midpoint of MP ?
Answer:
Find the equation with a point and y-intercept.
y=(yx−5x)x+5
Step-by-step explanation:
Does it represent a function yes or no because
Which situation can be represented by this inequality?
3 + 2.0 > 8x
Select one:
The cost of 2 candy bars plus a $3 bag of chips is greater than 8 candy bars.
The cost of 2 candy bars with a discount of $3 is greater than 8 candy bars.
o The cost of a $3 bag of chips plus 2 candy bars is at least as much as 8 candy bars.
The cost of a $3 bag of chips plus 2 candy bars is less than 8 candy bars.
Answer: D
Step-by-step explanation:
Pls help me. How long is GH?
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. Plot shows 8 dots at 10, 7 dots at 9, 6 dots at 8, 3 dots at 7, 2 dots at 0 and 6, and 1 dot at 5.
The mean is equal to the median and the data are symmetric.
The peak is equal to the median and the data are skewed.
The data are symmetric and there are outliers.
The data are skewed and there are outliers.
The two characteristics that makes the median a better choice are: A. The data are skewed and there are outliers.
What Characteristics of a Dot Plot Makes Median a Better Choice?In a data distribution, the median is a better choice to use to describe the data over the mean when an outlier exist and the data is skewed.
IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.
Therefore, the answer is: A. The data are skewed and there are outliers.
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A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12)?
VX
O y=-5x+12
O 5x+y=12
O y-12=5(x-0)
O 5x+y=-1
Answer:
Step-by-step explanation:
y=-5x+12
10x+2y=-2
Subtract 10x to the other side of the equation and you will get 2y=-10x-2
Then divide both side by 2 to get y by itself
It will lead you to y=-5x+1
Notice that your point is (0,12) and it says parallel so you will keep your slope but your y-intercept will change
Final answer: y=-5x+12
I believe it's y= -5x+12. I really hope this helps. Happy schooling!!
Enter the number that belongs in the green box 7 4 8
Answer:
61.03°
Step-by-step explanation:
You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.
Law of CosinesThe law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...
c² = a² +b² -2ab·cos(C)
ApplicationSolving for angle C, we have ...
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
In this triangle, that means ...
C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)
C ≈ 61.03°
The angle of interest is about 61.03°.
__
Additional comment
We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)
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