[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The general strategy for solving the equation in form of :
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]
is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.
so, correct choice is C. multiply both sides by a
Best way is multiply with a
By which x gets isolated
Let's check how?
ax/a=bax=abif 3^2x+1 = 3^x+5 what happened the value of x
Answer:
x = 4
Step-by-step explanation:
See attachment.
Write a formula for function g in terms of function h.
Answer:
g(x) = h(x + 7) + 5Step-by-step explanation:
Compare the corresponding points, the best is vertices
y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)Find the difference of coordinates, the rule of translation right and up
x = 5 - (-2) = 7 y = - 2 - (- 7) = 5The formula of g(x) in therms of h(x) is:
g(x) = h(x + 7) + 5Answer:
g(x) = h(x - 7) + 5
Step-by-step explanation:
Vertex of a parabola
The turning point (stationary point) of the curve.
the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwardsTo find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.
Vertex of h(x) = (-2, -7)
Vertex of g(x) = (5, -2)
Therefore, y = h(x) has been translated 7 units to the right and 5 units up.
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5Therefore, the formula for g(x) in terms of h(x) is:
g(x) = h(x - 7) + 5
Learn more about transformations here:
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22 pints = what fluid ounces
Answer:
422.734 fluid ounces
Step-by-step explanation:
For the approximate result you have to multiply the volume value by 19.215
Each student in Mr. Johnson's sixth-grade class kept track of how many books they read over
summer vacation.
Books read
0
2
4.
6
8
10
What was the median number of books Mr. Johnson's students read?
Answer:
4
Step-by-step explanation:
I got 4 when I answered on IXL for anyone who needs help on it!
1. Given the following rectangle and circle, at what approximate value of x are the two areas equal?
Answer:
x = 0.86
Step-by-step explanation:
(3x - 1)(x + 6) = 3.14159 × (x + 1)²
3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)
-0.14159x² + 10.7168x - 9.14159 = 0
x² - 75.6875x + 64.5626 = 0
[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]
x = 74.825 or x = 0.8628
Answer: x = 0.86
It is:
x = 0.86
i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.
the phases in algebra are
Answer:
rhetorical stage, syncopated stage, symbolic stage
Step-by-step explanation:
kevin completed 10 problems of his homework during lunch this is 2/7 of the total assignment how many problem was Kevin assigned for homework
Answer:
35 problems
Step-by-step explanation:
We know that 10 problems are 2/7 of his total assignment, so we can set up the following equation,
[tex]\frac{10}{x\\} = \frac{2}{7}[/tex]
(side note: x is the denominator because we don't know how many problems it is out of yet)
We can cross multiply which gives us: (7x10) and 2(x)
70 = 2x (set them equal)
x = 35 (divide 70 by 2)
Hope this helps!
Here are two squares, A and B.
B
The length of the side of square A is 50% of the length of the side of square B.
Express the area of the shaded region of square A
as a percentage of the area of square B.
Answer:
The shaded region of A is 12.5% of the area of B.
Step-by-step explanation:
Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%
Answer:
12.5%
Step-by-step explanation:
Since it given that the length of the sie of a square A is 50% of the length of the side of square B. As well as given us the question we need to find the answer to which is:
Express the area of the shaded region of square A as a percentage of the area of square B.
What we need:
Area of shaded region of Square A as a % of Area of Square B
Now we can solve but first :
Let "b" be the side length of Square B
Let "a" be the side length of Square A
As well as:
It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,
a = ½b
Area of a square = s², where s is the side length
Area of Square A = (½b)² = b²/4
Area of Square B = b²
Finding the area of the shaded region of the Square A = ½ of area of Square A.
Area of shaded region of Square A = ½*(b²/4) = b²/8
Expressing the area of the shaded portion of square A as a percentage of are of Square B:
Area of shaded portion of Square A ÷ Area of Square B × 100%
Solving:
⇒ [tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]
⇒[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]
⇒ [tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]
⇒ [tex]\frac{b^2}{8\times b^2}\times100[/tex]
⇒ [tex]\frac{1}{8}\times100=12.5[/tex]
Base on the solving above we can conclude that:
The area of the shaded region of Square A is 12.5% of the area of Square B.
~[DiscordUser]~
PLS HELP I'LL GIVE BRAINLIEST
Expand The Expression: -4(8+5t)
Answer:
[tex]\Longrightarrow:\boxed{\sf{-32-20t}}[/tex]
Step-by-step explanation:
Use the distributive property to expand the expression.
Distributive property:
→ A(B+C)=AB+AC
-4(8+5t)Multiply.
→ -4*8=-32
⇒ -4*5t=-20t
Rewrite the problem down.
→ = -32-20t
Therefore, the correct answer is -32-20t.I hope this helps you! Let me know if my answer is wrong or not.
Answer:-32-20t
Step-by-step explanation:
-4 times 8 is -32 and -4 times 5t is -20t
Hope this helps! :)
ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST
Use the calculator for these calculations. Round
your answer to the nearest thousandth, if
necessary:
18*(27 + 36/3)
(21+13/74-18*3)*10=
√3/2=
√281^2-160^2=
2^10-2^9=
√8*√9-7=
Answer:
the answer is 3.36000 approximated to the nearest thousandth
Answer:
18 x (27 + 36/3) = 378
(21 + 13/74 - 18 x3 ) x 10 = 17
sqrt. 281^2 - 160^2 = 231
2^10 - 2^9 = 512
sqrt. 8 x sqrt. 9 - 7 = 4
Step-by-step explanation:
sorry for being late to answer. these are correct on edge.
the question is the screenshot
Answer:
Account [B] is worth the most after 10years. It will have a value of $[21589.656]
What is the spatial relationship between a rectangle and a parallelogram?
Answer:
a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.
Step-by-step explanation:
Explanation:
A rectangle has the following properties:
Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.A parallelogram has the following properties:
Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.The similiarities between a rectangle and a parallelgram:
Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.The difference between a rectangle and a parallelogram:
The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.
What is the absolute value of -|-4| ?
Answer:
- 4
Step-by-step explanation:
the absolute value function always give a positive result , that is
| - a | = | a | = a
then
- | - 4 | = - | 4 | = - 4
A local maximum of the function f(x) occurs for which x-value?
Answer:
-4
Step-by-step explanation:
This is according to my sense. please consider other answers as well
Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number
greater than 5
greater than 1
less than 9
less than 4
For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?
2/8
2/10
8/2
10/2
Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?
theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.
7/10
7/100
12/90
12/100
Find the probability of spinning the following. P(not 7)
1/7
1/8
7/8
4/8
The answers to your questions are as follows :
The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8Meaning of ProbabilityProbability is a branch of mathematics that deals with the degree of occurrence of an event.
1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.
Because: there is only one number greater than 5 in that list (which is 6)
2) The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)
Because: there are only two multiples of 4 that can be picked from number 1-10
3) The only survey that would not be valid with a sample of seventh-grade classmates is : Bank that offer the most services.
Because: they are not working and might have little or no idea about banking services.
4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.
where the probability of picking a red marble is = [tex]\frac{3}{10}[/tex]
The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]
since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]
5) The probability of spinning the following. P(not 7) = 7/8
The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]
The probability of not is = 1 - probability of picking 7
1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]
In conclusion, go the answers related to your questionare provided above for each question.
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Select all that apply.
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles are 180 degrees and so is a linear pair
1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)
5 and 7 are a linear pair which automatically makes them supplementary
The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)
Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6
HELP PLEASE!!!!!!!!!!!
The sum of all but one interior angle of an octagon is 776°. The measure of the final interior angle is ___ degrees.
the sum of all interior angles in a polygon, regular or not is
180( n - 2), n = number of sidesnow, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.
we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.
Write an equation for a direct variation that includes the point (3, 12).
100 POINTS FOR THE CORRECT ANSWER!!
Answer:
14,11,8
Step-by-step explanation:
If f(1)= 17
and f(n)= f(n-1) -3
f(2)= f(2-1)-3
f(2)=f(1)-3
f(2)=17-3
f(2)=14
f(3)=f(3-1)-3
f(3)=f(2)-3
f(3)=14-3
f(3)=11
f4)=f(4-1)-3
f(4)=f(3)-3
f(4)=11-3
f(4)=8
Answer:
14, 11, 8
Step-by-step explanation:
Given recursive formula:
[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).
Therefore, the next 3 terms in the sequence are:
[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]
Name two sides that appear to be parallel
Step-by-step explanation:
These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.
How do graphs help you understand the data?
Answer:
Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.
How would three billion, nine hundred seventy-six thousand, twelve be written in standard form?
Step-by-step explanation:
3.000976×10⁹ would be how I will write in standard form
Solve the equation for x.
29=x4
Answer:
29/4 or 7.25
Step-by-step explanation:
Simply divide by 4 to isolate and solve for the x-term:
[tex]x=29/4[/tex] or 7.25
Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.
Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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Solve the equation using inverse operations. 40=m/2
Answer:
m = 80
Step-by-step explanation:
40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )
80 = m
Donnie lives 3 miles from the park . He rode his bicycle from his house to the park at a constant speed of 9 miles per hour. How long did it take Donnie to get to the park?
Answer:
20 minutes, or 1/3 hour
Step-by-step explanation:
Donnie travels at 9 miles/hr.
The relationship between speed, distance, and time is Time = Distance/Speed. [from Distance = Speed*Time]
Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr
It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.
The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value of their home?
( please solve, NOT in proportion please!! )
Answer:
50%
Step-by-step explanation:
You can literally do it mentally lol
$500,000
- $250,000
$250,000
so by common sense, it's 50%
Hope it helped!
Answer:
50%
Step-by-step explanation:
50% of the value of the house dropped.
So 50% of 500,000.
50 percent *500000 =( 50:100)*500000 =( 50*500000):100 =25000000:100 = 250000I NEED HELP ASAP AND WILL GIVE BRAINLIEST !!
At a carnival, tickets were given to the visitors for games and rides. The ratio of the number of adults
to the number of children was 2: 5. Among the children, the ratio of
the number of girls to the number of boys was 1: 3. Each adult received 2 tickets
received 4 tickets. A total of 2976 tickets were given out.
(A) what fraction of the visitors are boys? Express your answer in its simplest form.
(b) How many more boys than girls were there at the carnival?
