Answers
12 + 1x = 8 + 2x
We do this, because there are already some of each color in the bag. 1x makes one counter each and 2x is two counters for every blue counter in the bag. Let's solve it. Subtract 1x from each side. 1x - 1x cancels out. 2x - 1x is 1x or just simply x. That simplifies to 12 = 8 + x. Subtract 8 from each side to get the variable by itself. 8 - 8 cancels out. 12 - 8 is 4. That leaves 4 = x. Nothing else needs to be done. Let's plug the value in and see if it works. 1 * 4 is 4. 12 + 4 is 16. 2 * 4 is 8. 8 + 8 is 16. 16 = 16. There. x = 4. 4 blue counters and 8 green counters were added to the bag.
Related Questions
pls help!!! will make brainliest!
Answers
Which best explains whether or not all isosceles triangles are similar?
All isosceles triangles are similar. Two angles within each triangle are always congruent.
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
Answers
Answer:
C - All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Step-by-step explanation:
got it correct on edge
PLZ HELP ASAP
IM PRETTY SURE ITS C OR MAYBE A
PLEASE EXPLAIN
Answers
As you can tell, it deals with six options. So B and D are out of the story since the first one deals with 0 to 15 dollars and option D deals with 0 to 15 as well. With Henry, the option makes sense because there are 15 dots and with 0-6 dealing with pets makes sense since someone can have no pets or even 6 pets.
Ella's college professors assign homework independently from each other. ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have english homework. what is the probability that she will not have math or english homework tonight? 10% 12% 42% 70%
Answers
This would be 0.3 x 0.4=0.12 or 12% chance of both occurring.
Answer:
B. 12%
Step-by-step explanation:
We have been given that Ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have English homework.
Since we know that probability of not happening an event can be found by subtracting probability of happening the event from 1.
[tex]\text{P(No math homework tonight)}=1-0.6=0.4[/tex]
[tex]\text{P(No English homework tonight)}=1-0.7=0.3[/tex]
Since both events are independent so we will multiply probability of no math homework tonight by probability of no English homework to find no math or English homework tonight.
[tex]\text{P(No math or English homework tonight)}=0.4\times 0.3[/tex]
[tex]\text{P(No math or English homework tonight)}=0.12[/tex]
Converting 0.12 to percent we will get,
[tex]0.12\times 100=12\%[/tex]
Therefore, the probability that Ella will not have math or English homework tonight is 12%.
Which expression is equivalent to sec^2 x cot^2 x?
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Find the value of x.
Answers
78 + 27 + x = 180
simplify:
78 + 27 + x = 180
105 + x = 180
subtract 105 from both sides
x + 105 (-105) = 180 (-105)
x = 180 - 105
x = 75° is your answer
hope this helps
Since the sum of all angles in any triangle always equals 180°, we can just subtract to find x.
180 - 27 - 78
= 153 - 78
= 75
So, the value of x is 75°.
Hope this helps!
You want to make a scaled-down model of the statue of liberty that fits neatly on top of a pedestal with a 20 x 20 in horizontal surface. the actual statue of liberty is approximately 152 ft tall over a 40 x 40 ft base.
a.what is the scaling factor between the statue of liberty and your model? in other words, how many more times bigger is the statue of liberty than your model? show your work.
b.how tall should your model be, in inches? show your work.
Answers
we know that
[scale factor[=[model]/[actual]
the pedestal model is 20 in*20 in
the pedestal actual is 40 ft* 40 ft
then
[scale factor]=[20 in]/[40 ft] ---------->[1 in]/[2 ft]-------> scale=1/2
the answer Part A) is
the scale factor is [1 in]/[2 ft]
b.how tall should your model be, in inches?
the actual statue of liberty is approximately 152 ft tall
[scale factor]=[model]/[actual]---------> [model]=[scale factor]*[actual]
[model]=[1/2]*[152]----------> 76 in
the answer part B) is 76 in tall
What of following best describes the expression 9(x+7)
Answers
•this expression is a product between two factors because they are being MULTIPLIED to each other.
•this expression is has two factors, a constant and a 2-term factor. The constant is 9 and the two term factor is (x+7).
This means the answer is...
The product of a constant factor 9 and a 2-term factor x+7
I really hope this helps!
Best wishes :)
BRAINLIEST ANSWER + 15 POINTS
What is the definition of Logarithm?
What are some facts about Logarithm?
What's an example of a Logarithm?
What's a non-example of a Logarithm?
Answers
In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication. That means the logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number. In the most simple case the logarithm counts repeated multiplication of the same factor; e.g., since 1000 = 10 × 10 × 10 = 103, the "logarithm to base 10" of 1000 is 3. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb (x) (or logb x when no confusion is possible), is the unique real number y such that by = x. For example, log2 64 = 6, as 64 = 26.
The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science.
Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact—important in its own right—that the logarithm of a product is the sum of the logarithms of the factors:
{\displaystyle \log _{b}(xy)=\log _{b}x+\log _{b}y,\,}provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century.
Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel (dB) is a unit used to express log-ratios, mostly for signal power and amplitude (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They help describing frequencyratios of musical intervals, appear in formulas counting prime numbers or approximating factorials, inform some models in psychophysics, and can aid in forensic accounting.
In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
Final answer:
The logarithm of a number is the exponent to which a base must be raised to get that number. Common logarithms use base 10, while natural logarithms use the constant e as the base. An example of a logarithm is log10(1000) = 3, whereas a non-example is the logarithm of a negative number, which is undefined in real numbers.
Explanation:
Definition of Logarithm
The logarithm of a number is the power to which a given base must be raised to obtain that number. In the case of common logarithms, the base is 10. As an example, the common logarithm of 100 is 2, because 10 raised to the power of 2 is 100.
Facts about Logarithms
Logarithms convert multiplication into addition: log(xy) = log(x) + log(y).
They convert division into subtraction: log(x/y) = log(x) - log(y).
Logarithms of numbers raised to an exponent: log(xn) = n * log(x).
The natural logarithm (ln) uses e (approximately 2.7182818) as the base.
Example of a Logarithm
An example is the logarithm of the number 1000 in base 10, which is 3, because 10 to the power of 3 equals 1000.
Non-example of a Logarithm
A non-example would be stating that the logarithm of a negative number in the common logarithm system, as logarithms of negative numbers are undefined in real numbers.
Can someone help me and show me how to solve this?
In the figure, YX is a tangent to circle O at point X.
mXB = 52°
mXA = 104°
What is the measure of ∠XYA?
I can't remember how to solve questions like this since it's been a while. Thanks in advance.
Answers
52 /2 = 26
the answer is 26 degrees
but I'm not completely sure
Math help please????
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[tex]y = \frac{-4}{3} x + \frac{12}{3} [/tex]
The y intercept simplifies to 4
y-int = 4
What is the simple interest on $360 borrowed for 30 months at 12.3%?
(PLEASE EXPLAIN)
Answers
Answer is $110.70
An inequality is shown below. x + 2.5 < 20 What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes the inequality true?
A 10.5
B 12.5
C 17.5
D 19.5
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Emma is 5 years older than 6 times Beth’s age. If Emma is 29 years old what equation represents how to find Beth’s age?
Answers
To calculate Beth's age, we use the equation 29 = 6B + 5, where 29 is Emma's age, B represents Beth's age, and then solve for B, resulting in Beth being 4 years old.
To find Beth's age, we need to set up an equation based on the information provided. We know that Emma is 29 years old and that she is 5 years older than 6 times Beth's age. This relationship can be described with the equation E = 6B + 5, where E is Emma's age and B is Beth's age.
Plugging Emma's age into the equation, we get 29 = 6B + 5.
Next, we solve for B by first subtracting 5 from both sides of the equation, which gives us 24 = 6B. Then, we divide both sides by 6 to find Beth's age: B = 24 / 6.
Finding the value of B tells us that Beth is 4 years old.
Therefore, the equation is 29 = 6B + 5.
PLEASE HELP!!
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
What transformations can be applied to Circle 1 to prove that the circles are similar?
What scale factor does the dilation from Circle 1 to Circle 2 have?
Show your work.
Answers
Two shapes are congruent if you can turn one into another using translation, rotation, and reflection.
Two shapes are similar if you rescale one them into a shape that is congruent to the other.
We can conclude from this that in euclidian geometry all circles are similar.
We can shrink the first circle to get the second one.
Scale factor would be 1/3 as circle 1 has the radius that is 3 times the radius of circle 2.
ABCD is a trapezoid with sides AB parallel to CD, where AB = 50, CD = 20. E is a point on the side AB with the property, that the segment DE divides the given trapezoid into two parts of equal area (see figure). Calculate the length AE.
Answers
One of the two shapes that DE splits the trapezoid into is a triangle. Since the two sections of the trapezoid have an equal area, this means that the area of the triangle is 1/2 of the area of the trapezoid. Using the formulas for the area of a triangle and the area of a trapezoid we get:
1/2bh = 1/2(1/2(B+b)(h))
The base of the triangle, AE, is unknown. We do know that AE + EB = 50; let x be EB. That means that AE = 50-x.
B, the "big base" of the trapezoid, is 50. b in the trapezoid, the little base, is 20. Using all of this we now have:
1/2(50-x)h = 1/2(1/2(50+20)(h))
1/2(50-x)h = 1/2(1/2(70)h)
1/2(50-x)h=1/2(35)h
Since we have multiplied by 1/2 and h on both sides, we can divide by both of them at the same time to cancel. This will give us:
(50-x)=35
Subtract 50 from both sides:
50-x=50 = 35-50
-x = -15
x = 15
This means that EB is 15; thus AE = 50-15 =35.
Using proportions, if your ( or your parents') monthly mortgage payment is $1,125.98, at least how much must your monthly realized income be to stay within acceptable housing expense limits?
Answers
Answer:
Let your monthly income = $ x
As, Mortgage payment does not exceed 28% of the total monthly income.
Monthly mortgage payment = $1,125.98
So, 28% of x=1125.98
[tex]=\frac{28x}{100}=1125.98\\\\x=\frac{112598}{28}\\\\ x=4021.3571[/tex]
So, Your monthly income should be $ 4021.36 (approx) to stay within acceptable housing expense limits.
Is it possible for a system to have more than one solution? Explain your answer
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Use the standard normal table to find the z-score that corresponds to the cumulative area 0.4661. if the area is not in the table, use the entry closest to the area. if the area is halfway between two entries, use the z-score halfway between the corresponding z-scores.
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When you look on a normal distribution table, you will see that the value of 0.4661 falls between z-scores of -0.08 and -0.09. Therefore, we should find the middle of those 2 numbers to get the best possible approximation. That would be -0.085 for the z-score.
The z-score at the cumulative area of 0.4661 is -0.085
How to determine the z-score?The cumulative area is given as:
0.4661
This means that:
P = 0.4661
Next, we use a standard normal table to find the z-score.
From the standard normal table of z-scores, we have:
z = -0.085 when P = 0.4661
Hence, the z-score at the cumulative area of 0.4661 is -0.085
Read more about z-scores at:
brainly.com/question/25638875
#SPJ6
Perimeter is the distance around a figure. What is the perimeter of this figure?( PLZ ANSWER TODAY!!!)
3.3 feet
_________
| |
| | 2.75 feet
|________|
Answers
We know that perimeter is the distance around a figure. It's like a border.
That figure is a rectangle, and the formula for perimeter of a rectangle is:
P = 2l + 2w
The length is the longer side, and the width is the shorter side. Substitute:
P = 2(3.3) + 2(2.75)
P = 6.6 + 5.5
P = 12.1
ANSWER:
The perimeter of the figure is 12.1 feet long.
How do i find the average speed for his question: "A bicycle racer rides from a starting marker at 10m/s. She then rides back along the same rout from the turnaround marker at 16m/s. What is her average speed for the whole race?",
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To find the average speed for the whole race, you just have to add the speed from a starting marker and the speed from the turnaround marker going back and divide it by 2 since there are only two speeds involved.
10 m/s + 16m/s = 26 m/s / 2 = 13 m/s
Therefore, the average speed for the whole race is 13 m/s.
The graph represents the height y, in meters, above a lake of a rock x seconds after it is thrown from a ledge. Which statement is true? Select each correct answer.
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Answer:
The graph represents the height y, in meters, above a lake of a rock x seconds after it is thrown from a ledge. Which statement is true? Select each correct answer.
What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 18 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 6 inches, and the base of the rectangle is 15 inches.
Answers
At=A1+A2
At is the area of the trapezoid.
A1 is the area of the right triangles.
A2 is the area of the rectangle.
2. You can find the area of the right triangles (A1) by applying the formula for calculate the area of a triangle and multiply it by 2, because both triangles have the same dimensions. Then:
A1=2(bxh/2)
b is the base (b=6 inches).
h is the height (h=18 inches).
A1=2(6 inchesx18 inches/2)
A1=2(108 inches²/2)
A1=108 inches²
3. Now, you must find the area of the rectangle by applying the following formula:
A2=bxh
b is the base of the rectangle (b=15 inches).
h is the height ot the rectangle (h=18 inches).
A2=(15 inches)(18 inches)
A2=270 inches²
4. Therefore, the area of the trapezoid (At) is:
At=A1+A2
At=108 inches²+270 inches²
At=378 inches²
A garden snail traveled 1⁄40 of a mile in 1⁄2 an hour. What was the speed of the snail? 80 miles per hour
Answers
or if you're asking the snails speed, if so it's 0.025 miles in 30 mins and 0.05 miles an hour.
The sears tower in Chicago is 1,450 feet tall. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the the height of the actual Sears tower?
a. 1:725
b. 725:1
c. 12:725
d. 725:12,
Answers
Answer:
ANSWERS LOL
Step-by-step explanation:
SS Geometry B: Unit 3: Similarity
1. A
2. B
3. A
4. B
5. C
6. A
7. A
8. C
9. C
10. B
11. C
12. ESSAY
13. ESSAY
The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
Answers
Formula for area: A = 2l + 2w, where l is the length and w is the width.
Given information:
• l = 2w - 1
• A = 21 in^2
We can plug in our values accordingly and solve for w.
A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w
Plug 3.83 for w into 2w - 1 to find length.
2(3.83) - 1
7.66 - 1
6.66
Finally, check your work by plugging your values into the original equation.
21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98
Answer:
The length is approximately 6.66 inches.
A cylindrical oil storage tank has a height of 10 meters and a diameter of 24 meters. If the tank is full, how much oil does it contain? Round to the nearest tenth of a kiloliter (1 m3 = 1 kL). Use 3.14 for π.
Answers
By definition, the volume of a cylinder is:
V = pi * (r ^ 2) * (h)
Where,
h: height
r: radio
Substituting the values we have:
V = 3.14 * ((24/2) ^ 2) * (10)
V = 4521.6 kL
Answer:
If the tank is full, it does contain 4521.6 kL of oil
Which expressions are equivalent to the one below? Check all that apply. 27^x/9^x
Answers
Answer: The correct options are
(B) [tex]\dfrac{9^x.3^x}{9^x}[/tex]
(C) [tex] 3^x[/tex]
(E) [tex]\left(\dfrac{27}{9}\right)^3.[/tex]
Step-by-step explanation: The given expression is
[tex]E=\dfrac{27^x}{9^x}.[/tex]
We are to select the correct expressions that are equivalent to the expression "E".
We will be using the following properties of exponents:
[tex](i)~a^x.b^x=(ab)^x,\\\\(ii)~\dfrac{a^x}{b^x}=\left(\dfrac{a}{b}\right)^x.[/tex]
We have
[tex]E\\\\\\=\dfrac{27^x}{9^x}\\\\\\=\dfrac{(9\times 3)^x}{9^x}\\\\\\=\dfrac{9^x.3^x}{9^x}\\\\\\=3^x.[/tex]
Also,
[tex]E=\dfrac{27^x}{9^x}=\left(\dfrac{27}{9}\right)^x.[/tex]
Thus, (B), (C) and (E) are the correct options.
A closet is in the shape of a right rectangle prism it measures 4 1/4 feet long 3 1/4 feet wide and 6 feet tall. What is the volume of the closet
Answers
The answer is 100% 82 [tex]7/8[/tex]. I have taken the test it was correct!
Divide 5 in a ratio of 1:2:3
Answers
[tex]\bf 5\qquad 1:2:3\qquad \cfrac{5}{1+2+3}\implies \cfrac{5}{6} \\\\\\ \stackrel{\textit{ratio of 1}}{1\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 2}}{2\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 3}}{3\left( \frac{5}{6} \right)}\qquad \implies \qquad \frac{5}{6}~:~\frac{5}{3}~:~\frac{5}{2}[/tex]
add the ratios up, and you'll get 5.