Answer:
C
Step-by-step explanation:
Simply plug in x for all the questions to see if the x is the solution
A.) 3(20-14) = 44
3(16)=48
so A is incorrect
B.) 3(12-14) = 6
3(-2) = -6
so B is incorrect
C.) 2(14-3) =22
2(11) =22
C is correct
D.) 2(14)-3=22
28-3 = 25
so D is incorrect
Answer:
the answer would be 2(x - 3) = 22 (C)
Step-by-step explanation:
step 1:
2(x - 3) = 22
step 2: divide both sides by the equation 2
x - 3 = 11
step 3: move constant (3) to the right and change its sign
x = 11 + 3
step 4: add the numbers (11 and 3)
x = 14
A triangular sail on a sailboat is 6meter across the bottom and 10 meters tall.
What is the area of this sail?
Answer:
30m^2
Step-by-step explanation:
Formula for the area of a triangle is b * h / 2.
Plug in the values for each variable.
6 * 10 / 2 = 30.
Answer:
A=30m^2
Step-by-step explanation:
area of a triangle equals Length*Height divided by 2
length equals 6 height equals 10
6*10=60 60/2=30 A=30m^2
The area of a rectangle is 54x^9 y^8 square yards. If the length of the rectangle is 6x^3 y^4 which expression represents the width of the rectangle in yards?
Jack knows a=l*w, so he writes the following equation:
54x^9 y^8= 6x^3 y^4*w
He divides both sides by the length:
(54x^9 y^8)/(6x^3 y^4 )=9 x^12 y^12
Error:
Correct solution:
➷ Error: When he divided both sides by the length, he didn't subtract the exponents. Instead on subtracting the exponents, he added them - which is incorrect.
Correct solution: 54x^9 y^8 / 6x^3 y^4 = 9x^6 y^4
The width is 9x^6 y^4
(This is based on the rule that when you divide values with exponents, you have to subtract the exponents)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
Error: He added the exponents of the variables. The exponents must be subtracted.
Correct solution: [tex]w=9x^6y^4[/tex]
Step-by-step explanation:
According the quotient property of exponents, when you divide two powers with equal base, you must subtract the exponents.
Therefore, keeping the property above on mind, you have:
[tex]w=\frac{54x^9y^8}{6x^3 y^4}\\\\w=9x^{(9-3)}y^{(8-4)}[/tex]
Therefore, you have that the width of the rectangle is the shown below:
[tex]w=9x^6y^4[/tex]
please help me. i don’t understand how to interpret the (f o g)(x) And (g o f)(x)
fog functions are basically saying f(g(x)).
So (f o g)(x) = f(g(x)).
This is also true for gof functions.
(g o f)(x) = g(f(x)).
All we do for these problems is plug in g(x) into the x value in the f(x) equation.
Isabella uses the equation to find the volume of the cone below.
Answer:
The correct answer option is: Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex]
Step-by-step explanation:
We are given a diagram of a cone with height [tex] 9 cm [/tex] and area of the base (circle) [tex] 12 \pi cm^ 2 [/tex].
Isabella uses the equation [tex] V = \frac { 1 } { 3 } ( 12 ) ^ 2 ( 9 ) \pi [/tex] and we are to find the error that she is making in finding the volume of this cone.
The volume of a cone is given by: [tex]\pi r^2\frac{h}{3}[/tex] out of which [tex]\pi r^2[/tex] represents the area of the base (circle).
Therefore, Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex].
The answer is in fact D or Isabella should have divided the product of 12 Pie and 9 by 3 to get V= 12 Pie (9)/3
There are 24 inches of ribbon in each spool. Margaret needs 384 inches of ribbon. Which equation can Margaret use to find the number of spools,
s, she needs?
A) 24s=384
B)384/s=24
C) 384/24=s
D) All of these are correct
Answer: D) All of these are correct
Answer:
D. All of these are correct
Step-by-step explanation:
She needs four inches of ribbon and each spool has 24 inches, so we can write this equation like:
384/24 = s
where s is the number of spools.
If we divide 384 inches by the 24 inches each spool has she will get how many spools she needs.
Now having the equation: 384/24 = s, we can change it and it will mean the same.
384/24 = s is the same as 24s = 384; just sending the 24 to multiply on the other side.
And it is the same as 384/s = 24 just sending the s to the other side dividing.
So all of the answers are correct they are just in different orders.
How do i solve this equation 3x2(9x)0=
To solve 3x^2(9x)^0, simplify the expression inside the parentheses first, then multiply by 3x^2.
Explanation:To solve the equation 3x2(9x)0, we can simplify the expression inside the parentheses first. Any number raised to the power of 0 is equal to 1. So, (9x)0 becomes 1. Now we have 3x2 * 1. Multiplying any number by 1 doesn't change its value, so the equation simplifies to 3x2.
How do these triangles compare?
Answer:
B option. AB is larger than FD
Step-by-step explanation:
The rule which must be remembered here is:
The side opposite to the larger angle will be larger in measure. We have to compare two sides that are opposite to two angles 72 and 65.
So using the above rule we can say that side opposite to angle 72 will be greater in measure than the side opposite to 65.
The side opposite to 72 is AB and side opposite to 65 is FD.
Therefore, we can conclude that AB is larger in measure than FD, which makes option B as the correct answer,
Answer:
The correct answer option is AB is longer than FD.
Step-by-step explanation:
We are given two triangles, ΔABC and ΔDEF, where AC ≅ FE and BC ≅ DE.
One out of three angles is known for each triangle: ∠ACB = 72° and ∠DEF = 65° and we are to determine which of the statements is correct about AB and FD.
We know that the side opposite to the bigger angle is longer. Since ∠C = 72° is greater than ∠E, therefore side AB is longer than FD.
Complete BOTH parts of the problem below. When you complete the pr
document, upload it into the drop box.
A square Garden is surrounded by a walkway of width x.
a) Find the area of the garden
b) Find the area of the walkway and the garden
Answer:
Answer (a): Area of garden [tex]= 4x^2+12x+9[/tex]
Answer (b): Area of the square garden and the walkway = [tex]16x^2+24x+9[/tex]
Step-by-step explanation:
Answer (a):
From given picture we see that Length of the garden = 2x+3
Width of the garden = 2x+3
Then area of the square garden = (Length)(Width)
[tex]= (2x+3)(2x+3)[/tex]
[tex]= 4x^2+6x+6x+9[/tex]
[tex]= 4x^2+12x+9[/tex]
Answer (b):
From given picture we see that width of the walkway = x
Then length of the garden including walkway =x + (2x+3) +x=4x+3
Similarly width of the garden = 4x+3
Then area of the square garden and the walkway = (Length)(Width)
[tex]= (4x+3)(4x+3)[/tex]
[tex]= 16x^2+12x+12x+9[/tex]
[tex]= 16x^2+24x+9[/tex]
At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $65 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer: The correct answer is 3.
Step-by-step explanation:
You need to write an equation to solve this problem, using x as the number of personal training sessions.
The equation to solve this problem is
35 + 25 x = 65 + 15x
First, subtract 35 from both sides:
25x = 30 + 15x
Subtract 15x from both sides:
10x = 30
The last step is to divide both sides by 10:
x = 3
You can then double check your work to make sure that the answer is correct:
35 + (25 x 3) = 110
65 + (15 x 3) = 110
PLAESE HELP!!!!!!!
What is the mean average of hours completing homework each week based on the table below:
Number of hours each week completing homework 1 2 3 4 5
# of students 6 20 15 12 7
Answer the anser is 3
please gimme brainly
Step-by-step explanation:
What is the length of LE?
Answer:
2.5
Step-by-step explanation:
if the distance to ET is 5 and l is closer to e it only makes sense for 2.5\
the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle
The length is 13 and width is 8
Step-by-step explanation:Let the length is L
Width will be L-5
Area of rectangle = Length x Width
Putting the values
104 = L x L-5
104=l(l−5)
Simplify both sides of the equation.
104=l²−5l
Subtract l²-5l from both sides.
104−(l²−5l)=l²−5l−(l²−5l)
−l²+5l+104=0
Factor left side of equation.
(−l−8)(l−13)=0
Set factors equal to 0.
−l−8=0 or l−13=0
l=−8 or l=13
We will take l = 13 because length cannot be negative
Now for width we know that w = l -5
So width is 13 -5 = 8
what of the following is a like radical to ^3 square 7x
Answer:
4( \sqrt[3]{7x} ) is a like radical to \sqrt[3]{7x}
Step-by-step explanation:
Find the value of x. Then classify the triangle
Answer:
x = 60°
Step-by-step explanation:
This is an equilateral triangle. All angles of this triangle are congruent and have a measure of 60°.
Other method.
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore we have the equation:
x + x + x = 180°
3x = 180° divide both sides by 3
x = 60°
Question Number 1: Hard. HELP!!!
Answer:
5 dozen hot dogs
Step-by-step explanation:
Erica started with 80 dozen hot dogs.
At the end of the day on Wed, she had 75 dozen hot dogs (from the graph)
To determine what she sold, take what she started with and subtract what she ended with
80-75 = 5
She sold 5 dozen hot dogs
someone please help me asap!
I think the correct answer is C. because each if forming a right triangle when you trace it.
If i'm correct brainliest please
Could you answer this for me please?
-1 2/7 x 1/6 =
Answer:
-1 2/7 x 1/6 = -0.21
There are 23 cats and 27 dogs what percentage are dogs
Answer:
54%Step-by-step explanation:
Total Number of animals = 23 + 27 = 50
Number of Dogs = 27
Percentage of dogs = [tex]\frac{27}{50}[/tex] × 100 = 54%
The percentage of dogs will be 54%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Number of cats = 23
Number of dogs = 27
Now,
Total number of animals = 23 + 27
= 50
And, Number of dogs = 27
Hence, The percentage of dogs = (27/50) × 100
= 54%
Thus, The percentage of dogs will be 54%.
Learn more about the percent visit:
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Which of the following expressions are equivalent to x - (-x) + y ?
Choose all answers that apply:
A. 0 + y
B. y.
C. None of the above
The given expression x - (-x) + y simplifies to 2x + y. None of the provided options are equivalent to the original expression, hence the answer is 'None of the above'.
Explanation:
The expression you're trying to simplify is x - (-x) + y. In mathematics, subtracting a negative number is the same as adding its positive counterpart. Therefore, the given expression simplifies to x + x + y, which is 2x + y.
It seems the original question was looking for an expression equivalent to x - (-x) + y from the given choices. Based on the simplification we just did, none of the provided choices (0 + y, y, none of the above) are equivalent to the original expression, 2x + y. Therefore, the correct answer is 'None of the above'.
Learn more about Simplifying Expressions here:https://brainly.com/question/403991
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Which describes this angle?
an angle that measures greater than a right angle measures
an angle that measures the same as a straight line measures
an angle that measures the same as a square corner measures
an angle that measures less than a right angle measures
Answer:
Your answer would be the first option.
A right angle is 90 degrees
An obtuse angle is more than 90 degrees and that angle is more that 90 degrees
Plz help!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
5 ÷ [tex]\sqrt{5}[/tex] = [tex]\frac{5}{\sqrt{5} }[/tex]
To simplify multiply the numerator/ denominator by [tex]\sqrt{5}[/tex]
= [tex]\frac{5}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= [tex]\frac{5\sqrt{5} }{5}[/tex] = [tex]\sqrt{5}[/tex]
Answer: √5
Step-by-step explanation:
[tex]\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\large{\boxed{\sqrt5}}[/tex]
Which is the right answer?
Answer:
D
Step-by-step explanation:
Since the triangle is right use the sine trig ratio to solve for x
noting that sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{x}[/tex]
Multiply both sides by x
x × sin45° = 8 ( divide both sides by sin45° )
x = [tex]\frac{8}{sin45}[/tex] = [tex]\frac{8}{\frac{1}{\sqrt{2} } }[/tex] = 8[tex]\sqrt{2}[/tex]
Which equation can be used to solve for m∠1?
m∠1 = (a – b)
m∠1 = (a + b)
m∠1 = (c – d)
m∠1 = (c + d)
Answer:
m∠1 = (a + b) you will also need to divide the sum by 2
Step-by-step explanation:
The measures of angles formed by intersecting chord can be found by adding their arc measures and dividing in 2.
In this case, m< 1 = 1/2 ( a + b).
Based on the angle of intersecting chords theorem, the equation of that can be used to solve m∠1 is: m∠1 = 1/2(a + b).
What is the Angle of Intersecting Chords Theorem?The angle of intersecting chords theorem states that the measure of any of the vertical angles formed when two chords intersect equals half of the sum of the two intercepted arcs.
Therefore, based on the angle of intersecting chords theorem, the equation of that can be used to solve m∠1 is: m∠1 = 1/2(a + b).
Learn more about angle of intersecting chords theorem on:
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Which is the simplified form of
Answer:
The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.
Step-by-step explanation:
For this case we have that by definition of properties of powers, it is fulfilled that:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]n ^ {- 6} * p ^ 3[/tex]
We can rewrite it as:
[tex]\frac {p ^ 3} {n ^ 6}[/tex]
Finally:
[tex]n ^ {- 6} * p ^ 3 = \frac {p ^ 3} {n ^ 6}[/tex]
Answer:
Option C
Please help me, please
Answer:
8/27 yd³
Step-by-step explanation:
The equation for the volume of a cube of edge length s is V = s³.
If the edge length, s, is 2/3 yard, then the volume of this cube is:
V = (2/3 yd)³ = 8/27 yd³ (which corresponds to Answer C)
Which of the following exponential regression equations best fits the data shown below
Answer:
(D) [tex]8.46\cdot 3.51^x[/tex]
Step-by-step explanation:
One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.
Answer:
[tex]\text{D. }y = 8.46(3.51)^{x}[/tex]
Step-by-step explanation:
The quickest way is probably to do some direct substitution.
First, let's try f(0).
The values of y predicted by the four equations are, respectively, 3.14, 5.32. 10.84, and 8.46.
It looks like C and D are the closest to the observed data.
Now, let's try f(4) on C and D.
C: 10.84(1.77)⁴ = 10.84 × 9.815 = 106.4
D: 8.46(3.51)⁴ = 8.46 × 151.4 = 1284
The best curve is [tex]y = 8.46(3.51)^{x}.[/tex]
Factor the trinomial x^2+8x+7
Which of these equations have no solution? Check all thal apply.
2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x - 3)
46x + 3) = x + 12
4- (2x + 5) = 2 ( 4x - 2)
5(x + 4) - x = 4(x + 5) - 1
Answer:
2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x - 3)5(x + 4) - x = 4(x + 5) - 1Step-by-step explanation:
[tex]2(x+2)+2=2(x+3)+1\qquad\text{use the distributive property}\\2x+4+2=2x+6+1\qquad\text{subtract 2x from both sides}\\6=7\qquad\boxed{FALSE}\to\text{no solution}\\===============================\\2x+3(x+5)=5(x-3)\qquad\text{use the distributive property}\\2x+3x+15=5x-15\\5x+15=5x-15\qquad\text{subtract 5x from both sides}\\15=-15\qquad\boxed{FALSE}\to\text{no solution}\\===============================\\46x+3=x+12\qquad\text{subtract x from both sides}\\45x+3=12\qquad\text{subtract 3 from both sides}\\45x=9\qquad\text{divide both sides by 45}\\x=\dfrac{9}{45}\to x=\dfrac{1}{5}\to\text{one solution}\\===============================\\4-(2x+5)=2(4x-2)\qquad\text{use the distributive property}\\4-2x-5=8x-4\\-2x-1=8x-4\qquad\text{subtract 8x from both sides}\\-10x-1=-4\qquad\text{add 1 to both sides}\\-10x=-3\qquad\text{divide both sides by (-10)}\\x=0.3\to\text{one solution}\\===============================\\5(x+4)-x=4(x+5)-1\qquad\text{use the distributive property}\\5x+20-x=4x+20-1\\4x+20=4x+19\qquad\text{subtract 4x from both sides}\\20=19\qquad\boxed{FALSE}\to\text{no solution}[/tex]
Answer:
A, B, E
Step-by-step explanation:
how can you use order numbers that are written as fractions, decimals, and percents?
Give an Example plz
Final answer:
To use order numbers in different forms, you convert between fractions, decimals, and percents. For example, to convert from percent to decimal, you divide by 100; to convert from decimal to percent, you multiply by 100.
Explanation:
You can use order numbers that are written as fractions, decimals, and percents for various mathematical and real-life applications. They are different ways to represent the same value, and you can convert between them. For example, to convert a percent to a decimal, you write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. Similarly, to convert a decimal to a percent, you write the decimal as a fraction. If the denominator of the fraction is not 100, convert it to a fraction with a denominator of 100, then write the fraction as a percent.
Example of Converting Percents
To convert 75% to a decimal, write it as 75/100, which simplifies to 0.75. Conversely, to convert 0.75 to a percent, you multiply by 100 to get 75%.
The table shows the growth, in centimeters, of plants in two different soils after two weeks.
Which statement explains which soil tended to have a greater growth?
Soil A had greater growth because its data have a greater standard deviation.
Soil A had greater growth because its data have a greater mean.
Soil B had greater growth because its data have a greater interquartile range.
Soil B had greater growth because its data have a greater median.
it Might be D. Soil B had greater growth because its data have a greater median.
Answer:
Step-by-step explanation:
Given is a table about plants growth in soil A and B.
Let us find mean and median.
Soil A
Mean: 4.17
Median: 3.9
Mode: 3.5
Minimum: 3.1
Maximum: 6
Range: 2.9
Count: 10
Sum: 41.7
Soil B
Mean: 4.28
Median: 4.25
Mode: 3.9
Minimum: 2.9
Maximum: 5.5
Range: 2.6
Count: 10
Sum: 42.8
Soil B shows a better growth since both mean and median are greater.